Answers
By answering the presented question, we may conclude that She spends equation 40% of her time at work and 15% of her time on other hobbies. She spends 20% of her time napping.
What is equation?In mathematics, an equation is an assertion that affirms the equivalence of two factors. An algebraic equation (=) separates two sides of an equation. For instance, the assertion [tex]"2x + 3 = 9"[/tex] states that the word [tex]"2x + 3"[/tex] Corresponds to the number "9".
The goal of solution solving is to figure out which variable(s) must still be adjusted for the equations to be true. It is possible to have simple or intricate equations, recurring or complex equations, and equations with one or more components.
For example, in the equations [tex]"x2 + 2x - 3 = 0[/tex] ," the variable x is lifted to the powercell. Lines are utilized in many areas of mathematics, include algebra, arithmetic, and geometry.
Abby, according to the picture, spent:
She spends 25% of her time in school.
She spends 40% of her time at work and 15% of her time on other hobbies.
Therefore, Furthermore, she spends [tex]20[/tex] of her time napping.
Learn more about equation here:
https://brainly.com/question/29657992
#SPJ1
Related Questions
5) What is the probability of picking a vowel, replacing it
and then picking a consonant from the word "SLEEP"?
Answers
The probability of picking a vowel, replacing it, and then picking a consonant from the word "SLEEP" is approximately 0.096 or 9.6%.
What is probability?Probability is usually expressed as a number between 0 and 1, with 0 meaning that the event is impossible and 1 meaning that the event is certain.
According to question:There are two vowels (E) and three consonants (S, L, P) in the word "SLEEP".
The probability of picking a vowel on the first draw is 2/5, because there are two vowels out of five letters total.
Since we replace the vowel we picked, the probability of picking another vowel on the second draw is also 2/5.
The probability of picking a consonant on the third draw is 3/5, because there are three consonants left out of five letters total.
Therefore, the probability of picking a vowel, replacing it, and then picking a consonant from the word "SLEEP" is:
(2/5) x (2/5) x (3/5) = 12/125 or approximately 0.096 or 9.6%.
To know more about probability visit:
https://brainly.com/question/11234923
#SPJ1
do the following statements describe red pulp or white pulp? drag and drop the labels into the corresponding boxes.
Answers
After labeling with the corresponding boxes , The statements which describes Red pulp and white pulp are as follow:
1. Red pulp 2. Red Pulp 3. White Pulp 4. Red pulp
5. White Pulp 6. White Pulp 7. Red Pulp.
Red Pulp:
The red pulp of the spleen is made up of connective tissue (also known as Bill Roth's cord) and numerous sinusoids of the spleen which appear red due to excess blood. Its main function is to filter antigens, microorganisms and defective or worn out red blood cells from the blood.
The spleen consists of red and white pulp, separated by the marginal zone; 76-79% of a normal spleen is made up of red pulp. Unlike white pulp, which contains mostly lymphocytes (such as T cells), red pulp is made up of several types of blood cells, including platelets, granulocytes, red blood cells, and plasma.
White Pulp:
White pulp is the histological name for the areas of the spleen (so called because they appear whiter in rough sections than the surrounding red pulp), which make up approximately 25% of the spleen. The white pulp is entirely composed of lymphoid tissue.
Specifically, the white pulp contains several regions with distinct functions:
The periarteriolar lymphatic sheaths (PALS) are usually associated with the arteriolar supply to the spleen; they contain T lymphocytes.
Lymphoid follicles with dividing B lymphocytes located between the PALS and the marginal zone bordering the red pulp. This region produces IgM and IgG2.
These molecules play a role in the opsonization of extracellular organisms, in particular encapsulated bacteria.
The marginal zone exists between the white pulp and the red pulp. It is located away from the central arterioles, close to the red pulp. It contains antigen-presenting cells (APCs), such as dendritic cells and macrophages. Some white pulp macrophages are of a special type called metallolipid macrophages.
Learn more about function:
https://brainly.com/question/23952628
#SPJ4
Consider relation Ron set A, where R = {(a,b) a divides b), and A is the set of positive Integers. Which of the following properties does the relation have? Check all that apply. Antisymmetric Transitive Reflexive Symmetric
Answers
Consider relation Ron set A, where R = {(a, b)| a divides b), and A is the set of positive Integers. The relation have antisymmetric. So the option A is correct.
A relation is antisymmetric if and only if it is not symmetric and for all elements a and b in the set, if (a,b) is in the relation, then (b,a) is not in the relation. In other words, if a is related to b and b is related to a, then a must be equal to b.
A relation is antisymmetric if for all elements (a,b) in the relation, if a divides b and b divides a then a=b. In this case, if a divides b and b divides a, then a and b must both be the same number since a positive integer cannot divide itself. Therefore, Ron set A is antisymmetric. So the option A is correct.
To learn more about antisymmetric link is here
brainly.com/question/12947421
#SPJ4
The complete question is:
Consider relation Ron set A, where R = {(a, b)| a divides b), and A is the set of positive Integers. Which of the following properties does the relation have? Check all that apply.
A. Antisymmetric
B. Transitive
C. Reflexive
D. Symmetric
Fill in this table as you work through the lesson. You may also use the glossary to help you.
Answers
Answer:
1. cosine
2. function
3. tangent
4. complementary
5. sine
6. cofunctions
What is the difference between the longest and
shortest pieces of scrap wood
Answers
The variation in length between the longest and shortest scraps of wood is 0.875.
Explain about the mixed fractions?The sum of both an entire number and a legal fraction is contained in a mixed fraction or number.
We translate an improper fraction into such a mixed fraction and use the basic arithmetical operations. An incorrect fraction is one in which the numerator exceeds the denominator.
Longest value ; 5
Shortest value; 4 1/8 (mixed fraction)
Convert mixed fraction in to proper fraction.
4 1/8 = ( 4*8 + 1 )/8
4 1/8 = 33/8
difference = longest pieces of scrap wood - shortest pieces of scrap wood
difference = 5 - 33/8
difference = 0.875
Thus, the difference in length between the longest and shortest scraps of wood is 0.875.
Know more about the mixed fractions
https://brainly.com/question/414559
#SPJ1
what is 7 in x 3 in x 6 in x 4 in x 15 in=
Answers
Answer:
7,560 inches.
Step-by-step explanation:
Given: 7 in x 3 in x 6 in x 4 in x 15 in = ?
First, multiply 7 and 3:
21 in x 6 in x 4 in x 15 in
Then multiply 21 and 6:
126 in x 4 in x 15 in
Then multiply 4 and 15:
126 in x 60 in
Finally, multiply 126 and 60:
= 7,560 inches.
the given point is on the graph of y=f(x). Find a point on the graph of y=g(x).
g(x)=f(x−1)+3; (6,15)
Answers
The point (6, 15) on the graph of y = f(x) corresponds to the point (6, 18) on the graph of y = g(x).
What is graph?A graph is a visual representation of data, usually depicted as a set of points or lines plotted on a coordinate plane or a series of bars or other shapes displayed in a bar chart or pie chart. Graphs are used to show relationships between variables, trends over time, or comparisons between different data sets.
According to question:The problem asks us to find a point on the graph of y = g(x) given that (6, 15) is a point on the graph of y = f(x), and g(x) = f(x - 1) + 3.
To find a point on the graph of y = g(x), we need to substitute the given value of x = 6 into the formula for g(x):
g(6) = f(6 - 1) + 3
Simplifying the expression on the right-hand side, we have:
g(6) = f(5) + 3
Since (6, 15) is a point on the graph of y = f(x), we know that f(6) = 15.
g(6) = f(5) + 3
g(6) = 15 + 3
g(6) = 18
Therefore, the point (6, 15) on the graph of y = f(x) corresponds to the point (6, 18) on the graph of y = g(x).
To know more about graph visit:
https://brainly.com/question/24861666
#SPJ1
Two cars, one going due east at the rate of 90 km/hr and the other going to south at the rate of 60 km/hr are traveling toward the intersection of two roads. At what rate the two cars approaching each other at the instant when the first car is 0.2 km and the second car is 0.15 km from the intersection ?
Answers
The two cars are approaching each other at a rate of 36 km/hr at the given instant.
We can solve this problem by using the Pythagorean theorem and differentiating with respect to time. Let's call the distance of the first car from the intersection "x" and the distance of the second car from the intersection "y". We want to find the rate at which the two cars are approaching each other, which we'll call "r".
At any moment, the distance between the two cars is the hypotenuse of a right triangle with legs x and y, so we can use the Pythagorean theorem
r^2 = x^2 + y^2
To find the rates of change of x and y, we differentiate both sides of this equation with respect to time
2r(dr/dt) = 2x(dx/dt) + 2y(dy/dt)
Simplifying and plugging in the given values
dr/dt = (x(dx/dt) + y(dy/dt)) / r
dr/dt = (0.2 x 90 + 0.15 x (-60)) / sqrt((0.2)^2 + (0.15)^2)
dr/dt = (18 - 9) / sqrt(0.04 + 0.0225)
dr/dt = 9 / sqrt(0.0625)
dr/dt ≈ 36 km/hr
Learn more about Pythagorean theorem here
brainly.com/question/14930619
#SPJ4
Michelle bought a new car for $25,000. She paid a 10% down payment and financed the remaining balance for 72 months with an APR of 6.5%. Assuming she makes monthly payments, determine the total interest Michelle pays over of the loan.
Answers
Answer:
Michelle paid a 10% down payment, which is:
10% of $25,000 = $2,500
So the amount she financed is:
$25,000 - $2,500 = $22,500
To calculate the monthly payment, we can use the formula for a loan payment:
P = (r * A) / (1 - (1 + r)^(-n))
where P is the monthly payment, r is the monthly interest rate (APR divided by 12), A is the amount financed, and n is the number of payments (72 in this case).
First, we need to calculate the monthly interest rate:
r = 6.5% / 12 = 0.00541667
Plugging in the values, we get:
P = (0.00541667 * $22,500) / (1 - (1 + 0.00541667)^(-72))
P = $363.12
So Michelle will pay $363.12 per month for 72 months.
To calculate the total interest paid over the life of the loan, we can multiply the monthly payment by the number of payments and subtract the amount financed:
Total interest = (P * n) - A
Total interest = ($363.12 * 72) - $22,500
Total interest = $7,111.04
Therefore, Michelle will pay a total of $7,111.04 in interest over the life of the loan
WILL GIVE BRAINLIEST PLEASE ANSWER FAST!
In each triangle, M, N, and P are the midpoints of the sides. Name a segment parallel to the one given.
Answers
Answer: UV
Step-by-step explanation:
Find the area of the region that is bounded by the given curve and lies in the specified sector.
r = e^ θ/2
π/6 = θ = 7π/6
Answers
The area of the region that is bounded by the given curve and lies in the specified sector is A = 2(e^(7π/12) - e^(π/12))
The polar curve r = e^(θ/2) represents a spiral that starts from the origin and gets farther away as it unwinds. We want to find the area of the region that lies inside this spiral and inside the sector defined by the angles θ = π/6 and θ = 7π/6.
To solve the problem, we need to find the points where the curve intersects the sector, which are given by plugging in the values of θ:
r(π/6) = e^(π/12)
r(7π/6) = e^(7π/12)
Then we can set up the integral for the area inside the sector:
A = 1/2 ∫[π/6, 7π/6] (r(θ))^2 dθ
Substituting the equation for r:
A = 1/2 ∫[π/6, 7π/6] e^θ/2 dθ
Using the power rule for integration:
A = 2(e^(7π/12) - e^(π/12))
This is the exact value of the area inside the sector and inside the spiral. If we want a decimal approximation, we can use a calculator or computer software to evaluate it.
To know more about Area:
https://brainly.com/question/4036565
#SPJ4
Given a doubling time of 934 minutes, how long will it take a culture in the exponential growth phase to grow from 15 cells per mL, to 86,059 cells per mL? Explain.
Answers
It will take approximately 7.12 days for a culture with a doubling time of 934 minutes to grow from 15 cells/mL to 86,059 cells/mL. This is calculated using the exponential growth equation and logarithms.
If the doubling time is 934 minutes, it means that the number of cells in the culture doubles every 934 minutes. Let t be the time in minutes required to grow from 15 cells/mL to 86,059 cells/mL. We can set up the following equation:
86,059/15 = 2^(t/934)
Taking the logarithm of both sides, we get:
log(86,059/15) = (t/934) log(2)
Solving for t, we get:
t = (log(86,059/15)/log(2)) * 934 ≈ 10,288 minutes ≈ 7.12 days
Therefore, it will take approximately 7.12 days for the culture to grow from 15 cells/mL to 86,059 cells/mL under the given conditions.
To know more about exponential growth phase:
https://brainly.com/question/30068429
#SPJ4
TRUE/FALSE.In a preliminary investigation report, the findings section includes a summary of a project request and a specific recommendation.
Answers
In a preliminary investigation report, the findings section includes a summary of a project request and a specific recommendation. - False
The outcomes of the inquiry and any pertinent data or information that was gathered are normally presented in the findings section of a preliminary investigation report. This might contain a synopsis of the problem or topic under investigation, an outline of the research approach taken, and a statement of any findings or recommendations made in light of the data gathered.
On the other hand, the recommendations part often follows the results section and provides detailed ideas or plans for handling the problem or issue at hand. The conclusions of the inquiry, as well as any pertinent research or industry standards, may all be taken into consideration when making the recommendations.
Read more about preliminary investigation on:
https://brainly.com/question/14610328
#SPJ4
Consider points A(1,3) , B(4,-2) , and C(5,2). Let D be the midpoint of AB. How can you prove that C lies on the perpendicular bisector of AB? Complete each statement.
Answers
The coordinates of D are: B. (2.5, 0.5).
The product of the slopes of CD and AB is: C. -1.
This shows that AB is perpendicular to CD. Therefore, C lies on the perpendicular bisector of AB.
How to determine the midpoint of a line segment?In order to determine the midpoint of a line segment with two (2) endpoints, we would add each point together and divide by two (2).
Midpoint = [(x₁ + x₂)/2, (y₁ + y₂)/2]
Substituting the given parameters into the midpoint of a line segment formula, the midpoint of line AB is given by;
Midpoint AB = [(4 + 1)/2, (-2 + 3)/2]
Midpoint AB = [5/2, 1/2]
Midpoint AB = (2.5, 0.5).
5, 2
Next, we would determine the slopes of line segment CD and AB:
Slope (m) of CD = (0.5 - 2)/(2.5 - 5)
Slope (m) of CD = -1.5/-2.5 = 3/5
Slope (m) of AB = (-2 - 3)/(4 - 1)
Slope (m) of AB = -5/3 = 0.6
Product of the slopes = 3/5 × -5/3 = -3/3 = -1.
Read more on midpoint and perpendicular bisector here: https://brainly.com/question/17126053
#SPJ1
Let A and B be events with P(A) = 0.3, P(B) = 0.6, and P(A and B) = 0.03. Are A and B mutually exclusive? Explain why or why not.
Answers
Answer:
A and B are not mutually exclusive
Step-by-step explanation:
A and B are not mutually exclusive because P(A and B) > 0. If A and B were mutually exclusive, then they would have no outcomes in common and the probability of their intersection would be zero. However, in this case, they do share some outcomes, since P(A and B) is greater than zero.
The weight of a goat increased by 12 pounds is 38 pounds. Write an equation to represent the situation.
Answers
The answer would be g+12=38
Answer:
x+12=38
Step-by-step explanation:
we do not know the starting weight of the goat so we can use x to represent it and then is increased by twelve so we can add that and we know the current weight is 36 pounds so x+12 with equal 36
Gilberto opened a savings account for his daughter and deposited $1500 on the day she was born. Each year on her birthday, he deposited another $1500. If the account pays 9% interest, compounded annually, how much is in the account at the end of the day on her 11th birthday?
Answers
Using compound interest, the amount in the account at the end of the day on her 11th birthday is $240,019.25.
To solve this problem, we can use the formula for compound interest:
A = [tex]P(1 + r/n)^{(nt)}[/tex]
where A is the amount of money in the account at the end of the 11th year, P is the principal amount (initial deposit), r is the annual interest rate (9%), n is the number of times interest is compounded per year (once annually), and t is the number of years (11).
First, we need to calculate the total amount of money that Gilberto deposited into the account over the 11 years:
1500 + 1500 × 10 = $16,500
Next, we can plug the values into the formula and solve for A:
A = 1500[tex](1 + 0.09/1)^{(1 * 11)}[/tex] + 1500[tex](1 + 0.09/1)^{(2 * 11)}[/tex] + ... + 1500[tex](1 + 0.09/1)^{(11 * 11)}[/tex]
A = 1500 × [[tex](1.09)^{11}[/tex] + [tex](1.09)^{22}[/tex] + ... + [tex](1.09)^{121}[/tex]]
A = 1500 × [[tex](1.09^{11}[/tex] - 1)/(1.09 - 1)]
A = 1500 × [(1.315 - 1)/(0.09)]
A = $240,019.25
Learn more about compound interest at
https://brainly.com/question/14295570
#SPJ4
What is the average rate of change between
the points (17, 5) and (19, --1)?
Answers
The average rate of change between the points (17, 5) and (19, -1) is -3.
What is the average rate of change?If we have a given function y = f(x) with two known points (a, f(a)) and (b, f(b)), then the average rate of change in that interval [a, b] is:
R = ( f(b) - f(a))/(b - a)
Here we have the two points (17, 5) and (19, -1)
So we have:
a = 17 and f(a) = 5
b = 19 and f(b) = -1
Replacing that in the formula for the average rate of change we will get:
R = (-1 - 5)/(19 - 17)
R = -6/2
R = -3
The average rate of change is -3
Learn more about average rate of change:
https://brainly.com/question/872850
#SPJ1
Two angles of a quadrilateral measure 301° and 10°. The other two angles are in a ratio of 2:5. What are the measures of those two angles?
Answers
Answer:
Step-by-step explanation:
The sum of the angles of a quadrilateral is 360°. We know that the measures of two angles are 301° and 10°.
Let x be the measure of the smaller of the other two angles, and let y be the measure of the larger of the two angles.
We know that x:y = 2:5, so we can write y = (5/2)x.
Using the fact that the sum of all four angles is 360°, we can write an equation:
301° + 10° + x + y = 360°
Substituting y = (5/2)x, we get:
301° + 10° + x + (5/2)x = 360°
Combining like terms, we get:
311° + (7/2)x = 360°
Subtracting 311° from both sides, we get:
(7/2)x = 49°
Multiplying both sides by 2/7, we get:
x = 14°
So the smaller of the two angles is 14°.
Using y = (5/2)x, we get:
y = (5/2) × 14° = 35°
Therefore, the measures of the two angles are 14° and 35°.
Both descriptive statistics (mean, median, mode, and range) and probability (the likelihood that something will happen) can be useful in our academic, professional, and personal lives. • Determine which of the two (descriptive statistics or probability) you find to be the most useful in your life and explain why using two (2) specific examples.
Answers
Descriptive statistics are the most useful in life. Descriptive statistics provide information about a data set and can help to summarize and interpret data. Specifically, I find the mean and median to be the most useful.
What does Descriptive statistics mean?Descriptive statistics involves the use of measures such as the mean, median, mode, and range, as well as graphical representations of the data, such as histograms, box plots, and scatter plots.
The mean is the average of a set of data and is useful for summarizing and interpreting data. For example, when I am studying for a test, I often use the mean of my practice test scores to understand my overall performance.
The median is the middle value of a set of data and is useful for understanding the spread of the data. For example, when I am tracking my monthly expenses, I often use the median to understand how much I am spending each month. By taking the median of my monthly expenses, I can get an idea of which expenses are taking up the most of my budget.
For more questions related to median
https://brainly.com/question/26177250
#SPJ1
Work out the value of the missing angle
x
.
The diagram is not drawn to scale.
Answers
Answer:
No diagram provided here
convert 457000СМ² to M².
Answers
Answer: 45.7
Explanation:
Divide the area value by 10000
Using the set of data below, which statements are true?
13, 11, 16, 12, 42, 8
The mean of this data set is 17.
The median is 12.5.
The median is 14.5.
The mean is more affected by the outlier.
The median is more affected by the outlier.
The mean of this data set is 12.
Answers
Statements 1,2 and five are correct.
Explanation:
Statement one:
To calculate the mean we must add all the numbers first
13+11+16+12+42+8= 102
Now we must divide the total by the amount of numbers, which in this case will be 6
102/6 = 17
Mean= 17
Statement 2:
First we should organize the numbers from smallest to biggest
8,11,12,13,16,42
Now since there is no middle number, we must find the average
12+13=25
25/2=12.5
Statement 5:
We know the median is an outlier as it’s the only number with a decimal
Please select the correct answer. Which expression is equivalent to the given expression?
Answers
All I did was simply
Answer:
[tex]5a^6b[/tex]
Step-by-step explanation:
To simplify this expression, we can divide 20a^8b^2 by 4a^2b.
First, we can simplify the numbers by dividing 20 by 4 to get 5.
Then, we can simplify the variables by subtracting the exponents of the same bases (a and b).
[tex]\frac{20}{4}[/tex] · [tex]\frac{a^8}{a^2}[/tex] · [tex]\frac{b^2}{b}[/tex]
[tex]5[/tex] · [tex]a^6[/tex] · [tex]b[/tex]
This gives us the simplified expression 5a^6b. So the answer would be the third one down, or [tex]5a^6b[/tex].
Conduct a survey with a minimum of 20 people.Complete the designed questionnaire in 1.2.Remind participants why your doing the survey and that their information will kept confidential
Answers
Some of the tips which is used to conduct a survey are:
Determine the purpose of the survey and define the population of interest.Design the questionnaire and ensure that the questions are clear and concise.Select a sample from the population and distribute the questionnaire to the participants.Remind participants why you are conducting the survey and assure them that their responses will be kept confidential.What is the need to conduct a survey (questionnaire)?Conducting a survey is an important tool for gathering information from a large and diverse group of people. Its allows allow researchers to obtain data from a representative sample of the population, which can then be used to make informed decisions, identify trends, and measure changes over time.
Also important, its can provide insight into people's attitudes, beliefs, and behaviors, which can be valuable in developing marketing strategies, designing programs and policies, and making important decisions.
A paragraph in a designed questionnaire which can remind participants why your doing the survey and that their information will kept confidential is as follows: "Thank you for taking the time to participate in this survey. The purpose of this questionnaire is to gather information about your experiences and opinions on a particular topic. Your participation is crucial to help us gain insights and make informed decisions. All of the information provided in this survey will be kept strictly confidential and will only be used for research purposes".
Full question "In a designed questionnaire, remind participants why your doing the survey and that their information will kept confidential".
Read more about survey
brainly.com/question/14610641
#SPJ1
show that the subspace (a, b) of r is homeomorphic with (0, 1) and the subspace [a, b] of r is homeomorphic with [0, 1].
Answers
The process to show that subspace (a, b) of r is homeomorphic with (0, 1) and the subspace [a, b] of r is homeomorphic with [0, 1] is explained below.
To prove that the subspace (a, b) of the real numbers is homeomorphic to the interval (0, 1), we can define a function f(x) = (x-a)/(b-a).
This function maps the interval (a, b) onto (0, 1) by scaling and shifting the values of x so that "a" maps to "0" and "b" maps to "1", while preserving the order and continuity of the values.
The inverse function is g(y) = ay + (1-y)b, which maps (0, 1) onto (a, b) by reversing the scaling and shifting of the values of y so that "0" maps to "a" and "1" maps to "b", while preserving the order and continuity of the values.
So, f(x) and g(y) are both continuous and bijective, and their inverses are also continuous, so (a, b) and (0, 1) are homeomorphic.
Similarly, to show that the subspace [a, b] of the real numbers is homeomorphic to the interval [0, 1], we can define a function h(x) = (x-a)/(b-a).
This function maps the interval [a, b] onto [0, 1] by scaling and shifting the values of x so that "a" maps to "0" and "b" maps to "1", while preserving the order and continuity of the values.
The inverse function is k(y) = ay + (1-y)b, which maps [0, 1] onto [a, b] by reversing the scaling and shifting of the values of y so that "0" maps to "a" and "1" maps to "b", while preserving the order and continuity of the values.
So, h(x) and k(y) are both continuous and bijective, and their inverses are also continuous, so [a, b] and [0, 1] are homeomorphic.
Learn more about Subspace here
https://brainly.com/question/14192360
#SPJ4
A sample of 128g of an unknown substance has a half-life of 1,250
years. Approximately how long will it take for 37 grams of the substance
to remain (to the nearest year)?
Answers
The radioactive decay will take approximately 3,051 years for 37 grams of the substance to remain.
What is radioactive decay ?
Radioactive decay is the process by which an unstable atomic nucleus loses energy (in terms of mass in its rest frame) by emitting ionizing particles or radiation such as alpha particles, beta particles, gamma rays, or positrons. As a result of this decay, the nucleus may transform into a different nuclide or isotope with a different number of protons or neutrons or into a different energy state. The rate of decay of a radioactive substance is measured by its half-life, which is the amount of time it takes for half of the original amount of the substance to decay.
According to the question:
The half-life formula for radioactive decay is:
[tex]N = N0 (1/2)^{t/h}[/tex]
where N is the amount of substance remaining after time t, N0 is the initial amount of substance, h is the half-life, and t is the time elapsed.
We can use this formula to find the time it takes for 37 grams of the substance to remain. Let N0 be the initial amount of substance, which is 128 g, and N be the amount of substance remaining, which is 37 g. We know the half-life is 1,250 years. Let's plug in these values and solve for t:
[tex]37 = 128 (1/2)^{t/1250}[/tex]
Dividing both sides by 128, we get:
[tex](1/2)^{t/1250} = 37/128[/tex]
Taking the logarithm of both sides with base 1/2, we get:
t/1250 = log(37/128) / log(1/2)
Simplifying, we get:
t = 1250 log(128/37) / log(1/2)
t ≈ 3,051 years
Therefore, it will take approximately 3,051 years for 37 grams of the substance to remain.
To know more about radioactive decay visit:
https://brainly.com/question/1770619
#SPJ1
I need help with this
Answers
In the figure below, YE bisects ZFYD. Use the figure to answer are mZEYF.
What is figure?Figure is a page in a book, magazine, website, or other printed material that contains a graphical representation of data, such as a chart, diagram, drawing, or photograph. Figures are often used to help explain complex concepts or to present data in an easily digestible way. Figures can also be used to highlight important information or to make an argument more visually appealing.
The angle YEZ is an inscribed angle, and it bisects the central angle ZFYD. Therefore, the measure of angle YEZ is equal to one-half the measure of angle ZFYD, which is mZYEF. Thus, mZEYF = mZYEF.
To learn more about figure
https://brainly.com/question/11423300
#SPJ1
Intersect Combining these two facts, we get mZCFR + mZRFY = 2mZEYF, which simplifies to m2FYD.
What is Intersect?Intersect is a cloud-based platform that enables users to analyze, explore, and visualize data. It provides a variety of tools for data analysis, including interactive dashboards, real-time analytics, and data exploration. Intersect also offers features such as data preparation, data visualization, and machine learning capabilities to help users better understand their data. It can be used to analyze large datasets, uncover trends, and identify correlations.
We can use the fact that when two lines intersect, the opposite angles formed are equal. Therefore, we can say that mZCFR = mZRFY.
In addition, since YE bisects ZFYD, we can say that mZFYD = 2mZEYF.
Combining these two facts, we get mZCFR + mZRFY = 2mZEYF, which simplifies to m2FYD.
To learn more about Intersect
https://brainly.com/question/16983858
#SPJ1
The diagram shows 3 identical circles inside a rectangle.
each circle touches the other 2 circles and the side of the rectangle, as shown in the diagram.
Radius of each circle is 28mm.
work out the area of the rectangle.
Give your answer correct to three significant figures
Answers
The area of the rectangle is 6272 mm² (to three significant figures).
What is area?Area is a physical quantity that refers to the amount of space within a two-dimensional shape or surface. It is typically measured in square units such as square meters, square centimeters, or square feet.
What is radius?Radius is a measure of the distance from the center of a circle to any point on its circumference. It is often denoted by the letter "r" and is usually expressed in units of length, such as meters or millimeters.
In the given question,
We can start by drawing lines connecting the centers of the circles and the rectangle.
Let's call the width of the rectangle "w" and the height of the rectangle "h".
Since each circle touches the side of the rectangle, we know that the diameter of each circle is equal to the width of the rectangle, so:
diameter of each circle = radius of each circle = 28 mm
Therefore, we can write:
2 x 28 mm + w + w = h
Simplifying, we get:
w + 56 mm = h/22w + 56 mm = h
Now we can find the area of the rectangle by multiplying its width and height:
Area of rectangle = w x h
Substituting for "h", we get:
Area of rectangle = w x (2w + 56 mm)
Expanding and simplifying, we get:
Area of rectangle = 2w² + 56w mm²
To find the value of "w", we can use the fact that the radius of each circle is 28 mm and the circles touch each other, so:
w + 2 x 28 mm + w = 3 x diameter of each circle
Simplifying, we get:
2w + 56 mm = 3 x 2 x 28 mm
2w + 56 mm = 168 mm
2w = 112 mmw = 56 mm
Now we can substitute this value of "w" into the formula for the area of the rectangle:
Area of rectangle = 2w² + 56w mm²
Area of rectangle = 2 x (56 mm)² + 56 mm x 56 mm
Area of rectangle = 6272 mm²
Therefore, the area of the rectangle is 6272 mm² (to three significant figures).
To know more Area of rectangle, visit:
https://brainly.com/question/20693059
#SPJ1
In the diagram below, IJK~LJK Find g. 5
Answers
In the diagram given IJK≅LJK ,the length cannot be negative, the only valid solution is g = 6. Therefore, the length of the segment KJ is 6 meters.
What is length?Length is a physical dimension that measures the distance between two points or the size of an object along one dimension.
It is commonly measured using standard units of length such as meters, feet, inches, and centimeters.
Given that KM is the bisector line of line IM and J is the bisector point on line IL. Two triangles are formed, △IJK and △LJK, on line IL in the upward and downward direction, respectively. We are given the lengths of IK, JN, LM, and KJ, and we need to find the value of g such that IJK≅LJK.
Since the two triangles are similar, their corresponding sides are proportional. Using the side proportionality theorem, we have:
KJ/LM = IJ/JL
Substituting the given values, we get:
g/10 = 5/(4+g)
Cross-multiplying, we get:
g(4+g) = 50
Expanding and simplifying, we get:
g²+ 4g - 50 = 0
Using the quadratic formula, we get:
g = (-4 ± √(4² + 4(50)))/2
g = (-4 ± √(256))/2
g = (-4 ± 16)/2
g = -10 or g = 6
To know more about proportionality theorem visit:
https://brainly.com/question/11807262
#SPJ1