Answer:
a number which produces a specified quantity when multiplied by itself
Step-by-step explanation:
The square root of a number is a value that, when multiplied by itself, gives the original number. For example, the square root of 9 is 3, because 3 x 3 = 9. The symbol for the square root is "√". So, √9 = 3.
There are two types of square roots: the principal square root and the negative square root. The principal square root is the positive value that, when multiplied by itself, gives the original number. The negative square root is the negative value that, when multiplied by itself, gives the original number. For example, the square roots of 9 are 3 and -3, because both 3 x 3 = 9 and -3 x -3 = 9.
The square root of a number can be approximated using a calculator or can be found using mathematical techniques such as the Newton-Raphson method. The square root of a number can also be expressed as an irrational number, meaning that it cannot be expressed as a fraction of two integers. For example, the square root of 2 is an irrational number that cannot be expressed exactly as a fraction.
Two buckets, each with a different volume of water, start leaking water at the same time, but at different rates. Assume the volumes are changing linearly.
The difference between the starting volumes is 200 milliliters, the first bucket has the larger volume.
What is the difference between the starting volumes?We know that the volumes can be modeled by linear equations, and remember that a general linear equation is:
y = a*x + b
Where a is the slope and b is the initial value.
If the line passes through two points (x₁, y₁) and (x₂, y₂), then the slope is:
a = (y₂ - y₁)/(x₂ - x₁)
For the first bucket we have the points (1, 2900), (10, 2000), then the slope is:
a = (2000 - 2900)/(10 - 1) = -900/9 = -100
So we can write:
y = -100*x + b
To find the value of b, we can replace the value of one of the points in the equation. I will use the first point (1, 2900)
2900 = -100*1 + b
2900 + 100 = b
3000 = b
Now for the other bucket, we have the points (1, 2725) and (10, 2050), so the slope is:
a = (2725 - 2050)/(10 - 1) = -75
So this line is:
y = -75*x + b
Again, replacing the values of one of the points we will get:
2725 = -75*1 + b
2725 + 75 = b
2800 = b
Then the difference in the starting volumes is:
3000 - 2800 = 200
The first bucket has 200 milliliters more.
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Use what you know about zeros of a function and end behavior of a graph to choose the graph that matches the function f(x)=(x-3)(x-1)(x+1).
The graph of the function f(x)=(x-3)(x-1)(x+1) is given by the image presented at the end of the answer.
How to construct the graph of the function?The function for this problem is defined as follows:
f(x)=(x-3)(x-1)(x+1).
The product is written as a product of it's linear factors, hence the x-intercepts are given as follows:
x = 3.x = 1.x = -1.The y-intercept of the function is given as follows:
f(0) = -3(-1)(1) = 3.
The end behavior is given as follows:
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A total of 3 ft falls over 3 days. On the first day, 1/6 of the total rain falls. On the second day, 7/12 of the total rain falls. How much rain falls each day in inches? Show your work. Please help.
Answer:
Day 1: 6 inches
Day 2: 21 inches
Day 3: 9 inches
Step-by-step explanation:
First, we need to convert the total rainfall from feet to inches. Since 1 foot is equal to 12 inches, 3 feet is equal to 36 inches.
On the first day, 1/6 of the total rainfall falls, so:
(1/6) * 36 = 6 inches
On the second day, 7/12 of the total rainfall falls, so:
(7/12) * 36 = 21 inches
To find the rainfall on the third day, we can subtract the rainfall on the first and second days from the total rainfall:
36 - 6 - 21 = 9 inches
Therefore, the amount of rainfall on each day, in inches, is:
Day 1: 6 inches
Day 2: 21 inches
Day 3: 9 inches
Nico, Aditi, Erick, Raj, and Sandra are solving the equation. Two-fifths (5 + x) = 8 Each student begins to solve the problem as shown. Nico Aditi Erick Two-fifths (5 + x) = 8. (Five-halves) two-fifths (5 + x) = 8 (five-halves) Two-fifths (5 + x) = 8. Five-halves (5) + five-halves x = (five-halves) 8 Two-fifths (5 + x) = 8. Two-fifths (5 + x) minus 5 = 8 minus 5 Raj Sandra Two-fifths (5 + x) = 8. (one-half) two-fifths (5 + x) = 8 (one-half) Two-fifths (5 + x) = 8. two-fifths (5) + two-fifths x = 8 Which students are correct in their approach to solving the problem? Select three options. Nico Aditi Erick Raj Sandra
The correct students in their approach to solving the problem are Aditi, Erick, and Raj. Nico and Sandra's approaches are incorrect.
The following are the correct approaches to solving the equation:
Aditi: two-fifths (5 + x) = eight. five-hundredths (5) + five-hundredths x = (five-halves) 8
Erick: two-fifths (5 + x) equals eight. two-fifths (5 + x) minus 5 equals eight minus five.
Raj: two-fifths (5 + x) = eight. two-fifths (5) + two-fifths x = eight.
As a result, Aditi, Erick, and Raj are the correct students in their approach to solving the problem. The approaches of Nico and Sandra are incorrect.
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4-Omertopen
CLIOCOMANIA.COM
what is a solution to a system?
what does a solution look like?
Determine if (10, 2) is a solution to the system
(x-2y = 8
(x + 2y = 14
The solution of the given system of equation is (11, 3/2) and (10, 2) is not a solution of the equations,
What is an equation?A mathematical statement connecting two expressions by equal sign is called an equation.
Given is a system of equations, x-2y = 8 and x + 2y = 14, we are to find the solution and determine if (10, 2) is a solution to the system,
x-2y = 8
x+2y = 14
Adding both the equations,
2x = 22
x = 11
Put x = 11 in any equation to find the value of y,
11 - 2y = 8
2y = 3
y = 3/2
Now, to determine whether (10, 2) is a solution to the system or not, put x = 10 and y = 2 and see if the value is satisfying the equation or not,
10 - 4 = 6
6≠8
Therefore, (10, 2) is not a solution of the equations,
Hence, the solution of the given system of equation is (11, 3/2) and (10, 2) is not a solution of the equations,
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The question is solved for :
Determine if (10, 2) is a solution to the system and what is a solution to a system?
x-2y = 8
x + 2y = 14
Indentify any vertical asymptotes and holes of f(x)= x^2+6x+9/x^2-9
The vertical asymptote of the function [tex]f(x) = \frac{x^2 + 6x + 9}{x^2 - 9}[/tex] is at x = 3.
What is an asymptote?Asymptote is a line or curve that serves as the boundary of another line or curve in mathematics.
Given, A function [tex]f(x) = \frac{x^2 + 6x + 9}{x^2 - 9}[/tex].
Factoring the numerator and the denominator we have,
[tex]f(x) = \frac{(x+3)(x+3)}{(x+3)(x-3)}[/tex]
Now, The holes of the function are at [tex]f(x) = \frac{(x+3)}{(x-3)}[/tex], x + 3 = 0, x = - 3.
And the asymptote of the function is at x - 3 = 0, x = 3.
Therefore, The asymptote will be a dotted vertical line at x = 3.
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prove that for every positive rational number r satisfying the condition r2<2 one can always find a larger rational number r h (h>0 ) for which (r h)2<2 .
Answer: Suppose there exists a positive rational number r such that r^2 < 2. Then we have 2 - r^2 > 0. Let h = (2 - r^2)/4. Then h > 0 because r^2 < 2.
Consider the number rh = r + h. We have:
(rh)^2 = (r + h)^2 = r^2 + 2rh + h^2 = r^2 + 2(2 - r^2)/2 + (2 - r^2)/16
= r^2 + 2 + (2 - r^2)/16
< 2 + 2 + (2 - 2)/16 = 2.
Thus, for any positive rational number r such that r^2 < 2, there exists a larger positive rational number rh = r + h such that (rh)^2 < 2.
Step-by-step explanation:
ASAV ANSWER PLAZ HELP
Answer:
man female women man women male female measurement measurement master mysteries milkman milkmaid monk non Mr Mrs nephew nice papa
An amount of $100 is invested at 9% compounded semi-annually. What is the balance after 6 years?
O $150.00
O $169.58
O $112.00
O $189.90
The balance (future value) after 6 years of investing $100 at 9% compounded semi-annually is B. $169.58.
What is the future value?The future value represents the present value or investment compounded at an interest rate for a period.
Compounding involves computing interest on accumulated interest, not only on the principal like simple interest.
The future value can be determined using an online finance calculator as follows:
N (# of periods) = 12 semi-annual periods (6 x 12)
I/Y (Interest per year) = 9%
PV (Present Value) = $100
PMT (Periodic Payment) = $0
Results:
Future Value (FV) = $169.58
Total Interest = $69.58
Thus, the investment is expected to be worth B. $169.58 in 6 years.
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Required Information NOTE: This is a multi-part question. Once an answer is submitted, you will be unable to return to this part. Show that if n is an integer and m+ 5 is odd, then n is even using a proof of contraposition. Rank the options below. We can write n = 2k +1 for some integer k. As n + 5 Is two times an integer, it is even. Assume that n is odd. Thus, if n is odd, then 3 + 5 is even. Then, 13 + 5 = (2K+993 +5=863 +1242 +66+6 = 2(4x3 +672 + 3k + 3).
If n is an integer and m + 5 is odd, then n must be even.
To prove this statement using contraposition, we need to show that if n is odd, then m + 5 must be even. Assume that n is odd, which means we can write n = 2k + 1 for some integer k.
Then, we can rewrite m + 5 as (2k + 1) + 5 = 2k + 6 = 2(k + 3), which is even.
Therefore, we have shown that if n is odd, then m + 5 is even.
By contraposition, we can conclude that if m + 5 is odd, then n must be even. Overall, the proof uses the fact that odd + odd = even and even + odd = odd, along with the definition of even and odd integers.
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Find the measure of an
exterior angle of a regular
polygon with 36 sides.
[?]°
Enter
Answer:
The measure of an exterior angle of a regular polygon with n sides is given by the formula:
360°/n
For a regular polygon with 36 sides, the measure of each exterior angle is:
360°/36 = 10°
Therefore, the measure of an exterior angle of a regular polygon with 36 sides is 10°.
Step-by-step explanation:
A potato head comes with 12 noses, 20 sets of eyes, 5 lips, and 30 accessories. How many arrangements can be made with 1 of each piece?
The number of different arrangements is 36,000
How many arrangements can be made with 1 of each piece?This is equivalent to the total number of combinations, it is given by the product between the numbers of options.
The numbers of options are:
12 for the noses
20 for the eyes
5 for the lips
30 accessories.
Then the number of different arrangements is:
N = 12*20*5*30 = 36,000
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Combine like terms: 5x2 - 4x
The collection of the like terms of the equation 5x^2 - 4x + 9x^2 + 2x can be expressed as 14x^2 - 2x .
How can the factorization be performed?The concept here is collecting the like terms, Algebraic expressions can be made simpler by combining like terms. Combining similar phrases is another name for it. In order to accomplish this, we locate similar terms in an algebraic equation and combine them by either adding or subtracting.
To collect like terms, add up the quantities of the same thing. The sales of various sizes of the same article of clothing, such as a jumper, will be added up by a buyer.
5x^2 - 4x + 9x^2 + 2x
=5x^2 + 9x^2 - 4x + 2x
=14x^2 - 2x
Therefore, option C is correct.
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Which relationship represents an example of mutualism? A a lynx hunting a snowshoe hare B an owl and a snake feeding on rats C a tapeworm absorbing nutrition from the intestines of a host organism D an ant colony living on an acacia tree and not allowing vines to grow on the bark
The scenerio that represents an example of mutualism would be an ant colony living on an acacia tree and not allowing vines to grow on the bark. That is option D.
What is mutualism?Mutualism is defined as the feeding relationship where by the both organisms which are involved work together to benefit from each other.
A typical example of mutualism is the relationship that exists between the ant and the acacia tree.Here, the ant colony living on an acacia tree and not allowing vines to grow on the bark shows that both organisms benefits from each other.
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Yall please help fast Veronica went on three hikes. On each hike, she saw the following numbers of animals:
Hike Length of hike
(
km
)
(km)left parenthesis, start text, k, m, end text, right parenthesis Number of animals seen
Rivers Edge
3
33
8
88
Wooded Marsh
8
88
24
2424
Canyon Creek
15
1515
35
3535
Veronica tried to order the hikes from least to greatest by the number of animals seen per kilometer, but she made a mistake. Here's her work:
Choose 1 answer:
WILL GIVE ALL MY PONITS
Answer:
Veronica's attempt at ordering the hikes from least to greatest by the number of animals seen per kilometer is not correct.
To order the hikes by the number of animals seen per kilometer, we need to calculate the number of animals seen per kilometer for each hike. We can do this by dividing the number of animals seen by the length of the hike in kilometers.
Using this method, we can calculate the number of animals seen per kilometer for each hike as follows:
Rivers Edge: 8/3 = 2.67 animals/km
Wooded Marsh: 24/8 = 3 animals/km
Canyon Creek: 35/15 = 2.33 animals/km
Based on these calculations, the correct order of the hikes from least to greatest by the number of animals seen per kilometer is Rivers Edge, Canyon Creek, Wooded Marsh.
Veronica's mistake appears to be that she simply ordered the number of animals seen in each hike from least to greatest, rather than calculating the number of animals seen per kilometer.
WHAT IS THE DOMAIN? PLEASE HELP
The domain of the given relation is:
D: {-3, -2, -1, 0, 1, 3}
What is the domain?For any relation that maps elements from one set into elements of another set, the domain is just the set of the inputs, and usually the domain is the se of the values "x"
Here the domain is the listof numbers in the left,the domain is:
D: {-3, -2, -1, 0, 1, 3}
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What is the value of log4^16
Answer:
Step-by-step explanation:
Using properties of logs:
= 16 log 4
= 9.63
When simplifying an expression like (x2yz4)5 , what should you do with the little 5 on the outside is the parentheses?
Question 3 options:
Distribute it to all variables by dividing their exponents
Distribute it to all variables by multiplying their exponents
Distribute it to all variables by adding their exponents
Distribute it to all variables by subtracting their exponents
Answer:
B
Step-by-step explanation:
Answer:
B: Distribute it to all variables by multiplying their exponents
Step-by-step explanation:
For the data in the following sample: 10, 6, 8, 6, 5 find the mean
Answer:
7
Step-by-step explanation:
To find the mean of a set of numbers, we add up all the numbers and divide the sum by the total number of numbers.
For the given sample, we have:
10 + 6 + 8 + 6 + 5 = 35
There are 5 numbers in the sample, so we divide the sum by 5:
35 / 5 = 7
Therefore, the mean of the sample is 7.
There are 52 cards in a deck with 13 cards of each of the four suits. Marlin draws one card, put its back and draws another one. What is the probability that she draws a hearts card and then a 6? Enter your answer as a fraction or a decimal rounded to the nearest hundredth.
Answer: 1/52
Step-by-step explanation:
There is a 13/52 chance of drawing a hearts card and then there is a 4/52 chance of drawing a 6
(13/52)(4/52)=1/52
There is a 1/52 chance of Marlin drawing a hearts card and then a 6
1.
A worker uses 4 gray tiles for every 5 blue tiles that he uses.
If he uses 60 gray tiles, how many blue tiles does he use?
b. If he uses 540 tiles altogether, how many gray tiles does he use?
Answer:
240
Step-by-step explanation:
60/ 4=15
15×5=75
b) 4+5=9
540/9=60
4×60=240
The graphs below show the sales of touchless thermostats, y, for the first 8 months last year. Both graphs show the same information.
Touchless Thermostat
Touchless Thermostat
Sales ($)
80,000
60,000
40,000
20,000
0
Sales
2
4
6
Months since
Start of the Year
Graph A
8
Sales ($)
40,000
30,000
20,000
10,000
0
Sales
To emphasize the slow increase in sales, it would be best for Samantha to use
Samantha should use this graph for her presentation because the sales
2
4 6 8
Months since
Start of the Year
Graph B
Samantha is preparing a presentation and wants to emphasize that the sales increased slowly over the first 8 months last year.
Complete the following sentences.
for her presentation.
Y
on this graph.
To me, Benjamin should use graph A to show the decrease in temperature. It would be best for Benjamin to use this graph for his presentation because the temperature decrease in this graph
What is graph?In mathematics, the graph of a function f is the set of ordered pairs, where {\displaystyle f(x)=y.} In the common case where x and f(x) are real numbers, these pairs are Cartesian coordinates of points in two-dimensional space and thus form a subset of this plane.
here, we have,
How to determine the appropriate graph?
The graphs that complete the question are added as an attachment
From the attached graph, we have the following highlights:
The data points on the y-axis of graph A are in an arithmetic sequence i.e. 30, 60, 90, 120....
The data points on the y-axis of graph B are not in an arithmetic sequence i.e. 60, 20, 40, 80....
The above means that graph B is a misleading graph
Hence, Benjamin should use graph A for his report
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1/5 x 10 multiply fractions: parts of a group
find mGHJ in degrees inscribed angles
If the measure of the intercepted arc GHJ is 180°, the measure of the inscribed angle GHJ will be mGHJ = 360° - 180° = 180°.
What is angle?Angel is a geometric figure that can be described as the amount of rotation between two straight line or planes and angles is measured in degree with the full circle being 360°.
The measure of an inscribed angle in a circle is always equal to the measure of its intercepted arc. The measure of the arc intercepted by a central angle is determined by the formula, mGHJ = 360° - mJKH. Therefore, the measure of an inscribed angle in a circle with intercepted arc GHJ is equal to mGHJ = 360° - mJKH. This means that the measure of an inscribed angle in a circle can vary depending on the measure of its intercepted arc. For example, if the measure of the intercepted arc GHJ is 180°, the measure of the inscribed angle GHJ will be mGHJ = 360° - 180° = 180°.
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A rock is thrown upward with a velocity of 22
meters per second from the top of a 45
meter high cliff, and it misses the cliff on the way back down. When will the rock be 9
meters from ground level? Round your answer to two decimal places.
Gravity Formula
The rock will be 9 meters from ground level at a time of:
x = 5.76 seconds.
How to model the situation?The quadratic function that models a projectile's height is given as follows:
y = -4.9t² + v(0)t + h(0)
In which:
v(0) is the initial velocity.h(0) is the initial height.The parameters for this problem are given as follows:
v(0) = 22, h(0) = 45.
Hence the height function is given as follows:
y = -4.9t² + 22t + 45.
The rock is 9 meters from ground level when:
9 = -4.9t² + 22t + 45.
-4.9t² + 22t + 36 = 0
4.9t² - 22t - 36 = 0.
Hence the discriminant is given as follows:
D = 22² - 4(4.9)(-36)
D = 1189.6.
The positive root, representing the time for the height of 9 meters, is given as follows:
x = (22 + sqrt(1189.6))/9.8
x = 5.76 seconds.
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The sum of the series
1+7+3+10+5+13+7+16+..... to 30 terms is :
Answer:
please type your questions well
what three numbers can be multiplied to get 100000
Answer: 10*100*100
10 times 100 times 100 = 100,000
hope this helped =)
Run tests can reveal non-random patterns in the time-ordered data. Select 4 patterns that might be seen.
- Points outside limits
- Trend
- Scatter Plot
- Cycles
- Too much dispersion
- Bias
If we run tests that can reveal non random patterns in the time ordered data , then the four patterns that might be seen are : Points outside limits , Trend , Cycles and Bias .
The four patterns that might be seen in run tests which can reveal non-random patterns in time-ordered data are:
(i) Points outside limits: This pattern indicates that the data points fall outside of the control limits and suggests that the process is not in statistical control.
(ii) Trend: This pattern indicates that the data points are moving consistently in a particular direction, either increasing or decreasing over time.
(iii) Cycles: This pattern indicates that the data points are oscillating around a central value over time, with a repeated pattern of highs and lows.
(iv) Bias: This pattern indicates that the data points are consistently above or below the centerline over time, indicating a systematic error or shift in the process.
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anthony goes to the library every 4th day, and giovani goes to the library every 6th day . when will they go on the same day? (from applepie's little brother)
Anthony and Giovani will both go to the library on the same day every 12th day.
What is ratio?The ratio can be defined as the number that can be used to represent one quantity as a percentage of another. Only when the two numbers in a ratio have the same unit can they be compared. Ratios are used to compare two objects.
To find out when both Anthony and Giovani will go to the library on the same day, we need to find the smallest number that is divisible by both 4 and 6.
We can start by listing the multiples of 4 and 6 until we find a common multiple:
Multiples of 4: 4, 8, 12, 16, 20, 24, 28, 32, 36, 40, ...
Multiples of 6: 6, 12, 18, 24, 30, 36, 42, ...
We see that 12 is the smallest common multiple of 4 and 6.
Therefore, Anthony and Giovani will both go to the library on the same day every 12th day.
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Mr.Aba builds a circular patio with a diameter of 12 feet.He covers the patio with paving stones.The cost of the paving stones is $10.50 per square foot.To the nearest dollar,how much do the paving stones cost?
The total cost of the paving stones for building a circular patio with a diameter of 12 feet is C. $1,187.
How is the total cost determined?The area of the circular patio using its diameter and pi (22/7) is determined with the formula below.
The unit cost per square foot is multiplied by the area to determine the total cost.
A = π (d/2)^2
The diameter of a circular patio = 12 feet
The area, A = π (d/2)^2
= 22/7(12/2)^2
= 113.14 ft²
The cost per square foot of paving stones = $10.50
The total cost = $1,187.97 ($10.50 x 113.14)
= $1,188
Thus, using the mathematical operation of multiplication, we can conclude that Mr. Aba's project will cost Option C.
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