50% of 1.6 km, or 0.8 km, is how far Andre lives from school, which is 1.6 km away.
what is percentage ?A number or ratio that is expressed as a fraction of 100 is known as a percentage in mathematics. There are also sporadic uses of the acronyms "pct.," "pct," and "pc." However, the percent sign "%" is widely used to signify it. There are no dimensions to the percentage amount. Percentages are essentially fractions because they have a numerator of 100. Put the percent sign (%) next to a number to indicate that it is a percentage. For instance, you would score a 75% if you answered 75 out of 100 questions on a test correctly (75/100). Divide the money by the total to get percentages, then multiply the result by 100. The formula (value/total) x 100% is used to determine the percentage.
given
Of means multiply and is means equals
W = 50% of 1.6
Change to decimal form
W = .50 * 1.6
W = .8 km
50% of 1.6 km, or 0.8 km, is how far Andre lives from school, which is 1.6 km away.
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Solve 4x-2y=-10 y=x+1 using the substitution method
(-4,-3)
x=-4,y=-3
Step-by-step explanation:
solve for the first variable in one of the equations, then substitute the results into the other equation. point form:
On another ring, the number of rubies is 4 times the number of diamonds, write the ratio of rubies to diamonds
The ratio of rubies to diamonds is 4:1.
What is the ratio?The ratio is the relative size of one value compared to another.
The ratio shows the quantity of a variable or number contained in another.
We depict ratios as fractional values, like proportions.
Fractional values can be represented as fractions, decimals, or percentages.
The number of rubies = 4x
The number of diamonds = x
The sum of ratios = 5x (4x + x)
The ratio of rubies to diamonds = 4:1
Thus, on this other ring, we can conclude that the ratio of rubies to diamonds is 4:1, meaning that rubies outnumber diamonds by 4 times.
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Evaluate the function over the domain {-2, -1, 0, 1, 2}. As the values of the domain
y = 2.5*
increase, do the values of the range increase or decrease?
The range of the function is {0.16, 0.4, 1, 2.5, 6.25}. With an increase in the value of the domain, the range of the function is increasing.
What is a function?
A function from a set X to a set Y allocates exactly one element of Y to each element of X. The set X is known as the function's domain, while the set Y is known as the function's codomain.
The given function is
f(x) = 2.5^x.
Given domain is {-2, -1, 0, 1, 2}.
Now putting x = -2, -1, 0, 1, 2 in the function f(x) = 2.5^x.
When x = -2:
f(-2) = 2.5^(-2)
f(-2) = 0.16.
When x = -1:
f(-1) = 2.5^(-1)
f(-1) = 0.4
When x = 0:
f(0) = 2.5^(0)
f(0) = 1.
When x = 1:
f(1) = 2.5^(1)
f(1) = 2.5
When x = 2:
f(2) = 2.5^(2)
f(2) = 6.25
The range of the function is {0.16, 0.4, 1, 2.5, 6.25}
The values of the range increase with the increase of domain.
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Triangle Theorems, What Is The Value Of X?
A triangle's x value is 120°. Using a triangle angle characteristics, an unknown angle can be found.
How to find the value of x in a triangle?The triangle in question is an equilateral triangle.Thus, all angles are equivalent to 60 degrees.So, for a triangle, we know that Interior angle + neighbouring outside angle = 180°, 60° + x = 180°, and x = 180° - 60° = 120°.Thus, a triangle's x value is 120°.From 180 degrees, deduct the sum of the two angles. A triangle's total angle measure is always 180 degrees. When you subtracted the sum of the two angles from 180 degrees, you discovered a difference. Note this difference down. The value of X is this.Bring the variable to the left side and the other values to the right side in order to find the value of x. To determine the answer, simplify the values.To learn more about triangle refer to:
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2.599 rounded to the nearest tenth
Answer:2.600
Step-by-step explanation:
2.599 rounded to nearest tenth will be 2.60 .
Given,
2.599
Here,
The concept of rounding states that if a decimal number is present and the digits after decimal is greater than 5 or less than 5 then the number can be rounded off .
For example:
Decimal number : 10.7
Estimated whole number : 11
Thus here the rounding off is required at tens place ,
So,
Number = 2.599
After round to nearest tenth = 2.60
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8
Solution.
The sum of three decimal numbers is 6. Exactly one of the numbers is less than what could the numbers be?show your work
The three decimal numbers are 0.5, 2.25 and 3.25 as Exactly one of the numbers is less than .
What is an average ?
average can be defined as ratio of the sum of the observations and total number of observations
From the information given,
we have to get three decimal numbers that have their sum as 6.0
Therefore, the three decimal numbers are 0.5, 2.25 and 3.25.
In order to confirm this, we can add the numbers together and check. This will be:
= 0.5 + 2.25 + 3.25 = 6.0
Also, from the numbers, 0.5 is less than 1.
Hence , The three decimal numbers are 0.5, 2.25 and 3.25.
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Need help with question attached below in an image.
The values of (f+g)(0) , (f-g)(0) , (fg)(0) are -5 , 7,-6 respectively for the given functions f(x) = 3x^2 - 4x + 1 and g(x) = x-6
What is function ?
Function can be defined in which it relates an input the output.
Given functions ,
f(x) = 3x^2 - 4x + 1 and g(x) = x-6
(f+g) (x) = 3x^2 - 4x + 1 + x-6
(f+g) (x) = 3x^2 - 3x - 5
(f+g)(0) = 3(0) - 3(0) - 5
(f+g)(0) = -5
(f-g) x = 3x^2 - 4x + 1 -( x-6)
(f-g)x = 3x^2 - 5x +7
(f-g)(0) = 3(0)-5(0) + 7
(f-g) (0) = 7
(fg)(x) = (3x^2 - 4x + 1) *( x-6)
(fg) (x) = 3x^3 - 4x^2 + x -18x^2+24x -6
(fg) (x) = 3x^3 - 22x^2 + 25x - 6
(fg) (0) = 3(0) - 22(0) + 25(0) - 6
(fg) (0) = -6
Hence, The values of (f+g)(0) , (f-g)(0) , (fg)(0) are -5 , 7,-6 respectively for the given functions f(x) = 3x^2 - 4x + 1 and g(x) = x-6
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HELLPPPP ITS DO TOMORROW
The place value of the digit 6 in the given number is 0.006
What is place value?Place value can be defined as the value represented by a digit in a number on the basis of its position in the number. For example, the place value of 7 in 3,743 is 7 hundreds or 700. However, the place value of 7 in 7,432 is 7 thousands or 7,000.
Given that, California receives average rainfall of 0.476 m per year, we need to find the place value of 6 in the number given,
The number is 0.476
We know that, the first digit after the decimal represents the tenths place. The next digit after the decimal represents the hundredths place. The remaining digits continue to fill in the place values until there are no digits left.
Here, the place of 6 is after 2 digits after the decimal,
Therefore, the place of 6 is thousandths place,
Therefore, the digit 6 has value = 6 × 1/1000 = 0.006
Hence, the place value of the digit 6 in the given number is 0.006
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HELP PLSSS 70 POINTS GOD BLESS WILL GIVE BRAINLIEST
PICTURE BELOW
Answer:
the correct answer is -1/16 i believe
HELPPPPPPPPP ASP PLS
25% percent of Amanda's day was spent on either meals or homework.
How to solve the percentage in pie chart?Pie charts are a great way to visualize data and percentages. To solve the percentage in a pie chart, you must first identify the total amount represented by the pie chart. Then, divide the value of each section of the pie chart by the total amount and multiply the result by 100 to calculate the percentage of the total that each section represents. For example, if a pie chart has 3 sections with values of 15, 25, and 60, the total would be 100. Then, 15 divided by 100 is 0.15, or 15%, 25 divided by 100 is 0.25, or 25%, and 60 divided by 100 is 0.6, or 60%. Therefore, the pie chart would have 3 sections representing 15%, 25%, and 60% of the total.To learn more about circle graph refer to:
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If you buy one ticket in the provincial lottery, the probability that you will win a prize is 0.11. If you buy one ticket each month for three months, what is the probability that you will win at least one prize?
The probability that you will win at least one prize if you buy one ticket each month for three months is 0.314 or 31.4%.
How to find the probability?The probability of not winning a prize in one drawing is 1 - 0.11 = 0.89.
If we assume that the draws are independent events, the probability of not winning a prize in three consecutive months is 0.89^3 = 0.686.
Therefore, the probability of winning at least one prize in three months is 1 - 0.686
= 0.314 or 31.4%.
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D.
↑
cotx
1+cscx
cotx
1-cscx
= 2 sec x
verify step by step
Answer:ok
Step-by-step explanation:kk
Given: Line a and line b intersect Prove: <1 = <3Which statement and reason best completes the proof?
When lines a and b overlap, angle 1 equals angle 3.
What is intersecting lines?The intersection of two lines in Euclidean geometry might be the empty set, a point, or another line. Distinguishing these circumstances and locating the intersection have applications in computer graphics, motion planning, and collision detection, among others. When two or more lines intersect on a plane, they are referred to as intersecting lines. The crossing lines have a common point, which exists on all of them and is known as the point of intersection. The intersecting lines are two lines that have precisely one common point. The crossing lines have a point in common. The point of intersection is the common point that exists on all intersecting lines.
Here,
To prove ∠1 ≅ ∠ 3, we can use the congruent supplements theorem. According to the congruent supplements theorem, If two angles are supplements of the same angle then two angles are congruent.
Line a and line b intersect (given)
∠3 is supplementary to ∠2 because of linear pair theorem (given)
So, if we take ∠2 as the common angle
And ∠1 is supplementary to ∠2 by linear pair theorem ( option D)
Then, ∠1 is supplementary to ∠2 which is supplementary to ∠3
Therefore, ∠1 ≅ ∠3 (according to the congruent supplements theorem)
This is proved when line a and line b intersect, angle 1=angle 3.
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WILL GIVE BRAINLIEST, NEED SOON! Finish solving the system of equations, y = x – 15 and y = –2x + 3, using the substitution method. 1. Use substitution to create a one-variable linear equation: x – 15 = –2x + 3 2. Solve to determine the unknown variable in the equation: 3x = 18 x = 6 3. Substitute the value of the variable into either original equation to solve for the other variable. 4. Write the solution to the system of equations as an ordered pair. The solution to the system is .
Solution to the given system of equations is (6, -9).
What is a linear system of equations?A system of linear equations consists of two or more equations made up of two or more variables such that all equations in the system are considered simultaneously. The solution to a system of linear equations in two variables is any ordered pair that satisfies each equation independently.
The given system of equations are y=x-15 -----(I) and y=-2x+3 -----(II).
Substitute x=y+15 in equation (II), we get
y=-2(y+15)+3
y=-2y-30+3
3y=-27
y=-9
Substitute y=-9 in equation (II), we get
-9=-2x+3
-12=-2x
x=6
So, solution is (6, -9)
Therefore, solution to the given system of equations is (6, -9).
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if RST=(3x+17)°, mSTR = (8x-32), and mTRS=(2x), find mRSN
The measure of angle RSN is obtained as follows:
m < RSN = 31º.
How to obtain the measure of angle RSN?First we must consider that the sum of the measures of the internal angles of a triangle is of 180º.
The internal angles of triangle RST, along with their measures, are given as follows:
m < RST = 3x + 17.m < STR = 8x - 32.m < TRS = 2x.The sum of these three measures is of 180º, hence the value of x is obtained as follows:
3x + 17 + 8x - 32 + 2x = 180
13x = 195
x = 195/13
x = 15.
Then the measure of angle RST is given as follows:
m < RST = 3(15) + 17
m < RST = 62º.
Angle RSN is a bisection of the angle RST, meaning that it has the measure half that of RST, hence:
m < RSN = 0.5 m < RST
m < RSN = 0.5 x 62
m < RSN = 31º.
Missing InformationThe diagram is given by the image presented at the end of the answer.
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So, what is truth? Philosophers have struggled with this question since the dawn of time, perhaps because it's the hardest question ever asked. The field of epistemology is the subdiscipline of philosophy that grapples it, along with the nature of knowledge itself.
Answer:
Truth is being honest and not lie and get them upset.
Step-by-step explanation:
Which quotation from "Miss Brill" develops the idea that Miss Brill longs for a sense of connection with other people? "But as Miss Brill wondered, the ermine toque turned, raised her hand as though she'd seen someone else, much nicer, just over there, and pattered away." "And Miss Brill's eyes filled with tears and she looked smiling at all the other members of the company. Yes, we understand, we understand, she thought though what they understood she didn't know."
"And Miss Brill's eyes filled with tears and she looked smiling at all the other members of the company. Yes, we understand, we understand, she thought though what they understood she didn't know." Option B
What is a sense of connection?
Generally, When academics discuss the idea of a social connection, they are referring to the sensation of being a part of a community and having a general sense of proximity to the members of that community. It is clear from the information that science has gathered that this is a fundamental psychological need that must be met in order to experience contentment with one's life.
A human connection is a profound link that develops between individuals as a result of their shared experience of being noticed and loved. People are able to trust one another and share good energy with one another when they are having genuine human connections.
Human connection enables one to experience being heard and understood, as well as a feeling of belonging to a group.
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a pharagraph on water
Answer:
Water is the only molecule because of which life is possible on Earth. In outer space, the conditions are so hostile that Water cannot be found in its natural form- liquid. This liquid Water has been giving us sustenance throughout billions of years.
Step-by-step explanation:
mark me brainleit plss
Determine whether f(x)=(x^2-2x-3)/(x^2+3x+2) has any holes. If it does, give the coordinates.
The function f(x) = x² - 2x - 3 / x² + 3x + 2 have holes at coordinate (-1, -4)
What are Holes of a FunctionFunction holes are areas of a function that are not defined. They can be caused by a lack of data, a lack of understanding of the problem, or a lack of knowledge of the domain. Function holes can lead to errors in the output of a function, as the function will not be able to produce a result for the undefined area. A hole is a location on the graph where the function's value is not known. When a rational function is simplified, its numerator and denominator will cancel if they have a common factor. The cancelled value creates a hole in the graph.
In the given question, we need to plot the function on a graph to determine it's holes.
f(x) = x² - 2x - 3 / x² + 3x + 2
Using a graphing calculator to plot this;
The holes in this function is located at a coordinate (-1, -4)
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a cube has 6 faces top bottom and all 4 sides.
PLEASE HELP SERIOUSLY NEED IT
Find out the perimeter of an Ellipse (oval,egg) we can use the by using the formula, perimeter = π × (a + b)[1 + (3 × h/(10 + √(4 - 3h)))]
What is the perimeter of an oval called?The length of an ellipse's boundary is its perimeter. It is sometimes referred to as the ellipse's circumference (recall that perimeter is also known as the circumference for the curved shapes).
Perimeter of EllipseThe length of an ellipse's boundary is its perimeter. It is sometimes referred to as the ellipse's circumference (recall that perimeter is also known as the circumference for the curved shapes). The orbits of the planets in our solar system, as well as 2D illustrations of objects like eggs and watermelons, are some instances of ellipses in nature. The collection of all points whose distance from two fixed points (referred to as foci) is always constant is known mathematically as an ellipse.
Perimeter of Ellipse Approximation FormulasThe circumference of the ellipse can be calculated using one of three approximate formulas. When the ellipse is nearly circular, or when the values of a and b are roughly equal, the first one is employed. When one of the values of "a" and "b" is noticeably larger than the other value, the second (or third) formulas are employed.
P ≈ π (a + b)P ≈ π √[ 2 (a2 + b2) ]P ≈ π [ (3/2)(a+b) - √(ab) ]We can use either formula 2 or 3 to determine the perimeter when the values of "a" and "b" are not exactly identical. Formula 3 provides a value that is smaller than the actual value, but formula 2 provides a bigger value. By averaging the results from formulas 2 and 3, we can therefore reach a result that is reasonably close.
Other Possible Methods to find the Perimeter of Ellipse Ramanujan Formulas of Perimeter of EllipseInfinite Series Formulas of Perimeter of EllipseFormulas of Perimeter of Ellipse Using IntegrationPerimeter of Ellipse Using Arc LengthPerimeter of Ellipse Using Parametric EquationsTo know more about Perimeter of the Ellipse Refer to:
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In a few short sentences, tell me what takeaways you have from this unit? (What will you use in your future?)
This unit has provided me with a greater understanding of the different aspects of communication.
What is unit?A unit is a standard measurement of a particular quantity. It is used to quantify or compare the amount or size of something. For example, the international system of units (SI) is a standard system of units that uses meters, kilograms, and seconds as its base units of measurement. Other examples of units include miles, pounds, inches, and Celsius.
It has enabled me to recognize the importance of active listening, being mindful of non-verbal cues and tailoring messages to the audience. I have gained insight into the various methods of communication, both verbal and non-verbal, and how to effectively use them for successful communication. I have also learned about the importance of setting clear expectations and maintaining a positive attitude to help ensure successful interactions.
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The average person spends about 1/10 of their walking hours with their eyes closed. If Mrs. James was awake for 15 1/2 hours today, how much more time did she have her eyes open than closed.? PLEASE HELP
The time that Mrs James have her eyes open than closed will be 13 19/20 hours.
How to calculate the Fraction?A fraction simply means a piece of a whole. In this situation, the number is represented as a quotient such that the numerator and denominator are split.
From the information, the average person spends about 1/10 of their walking hours with their eyes closed. If Mrs. James was awake for 15 1/2 hours today.
The more time that she have her eyes open than closed will be:
= 15 1/2 - (1/10 × 15 1/2)
= 15 1/2 - 1 11/20
= 13 19/20
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All students in Ridgewood Junior High School either get their lunch in the school cafeteria or brought it from home on Tuesday. 25% of students brought their lunch. 50 students brought their lunch. How many students in total are in Ridgewood Junior High School?
Answer:
125
Step-by-step explanation:
78-(x-60)=30 What does x equal?
Answer:
x = 108
Step-by-step explanation:
78-(x-60)=30
Solving for x,
x = 78-30+60
x = 108
If y = 3x - 7,x > 0, what is the minimum product of x2y?
On solving the provided question, we can say that we have the equations as y = 3x - 7 where x > 0. so let us assume x = 4 = > y = 5
What is equation?A mathematical equation is a formula that joins two statements and uses the equal symbol (=) to indicate equality. A mathematical statement that establishes the equality of two mathematical expressions is known as an equation in algebra. For instance, in the equation 3x + 5 = 14, the equal sign places the variables 3x + 5 and 14 apart. The relationship between the two sentences on either side of a letter is described by a mathematical formula. Often, there is only one variable, which also serves as the symbol. for instance, 2x – 4 = 2.
here,
we have the equations as
y = 3x - 7 where x > 0
so let us assume x = 4
y = 5
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Solve 3x-y=7 and 3x+y=11 using substitution method
Answer:
x = 3 ; y = 2
Step-by-step explanation
3x - y = 7
= 3x - y - 7 = 0
= 3x - 7 = y — (equation i)
Substitute (equation i) into the second equation:
3x + (3x - 7) = 11
Expand the brackets by applying the Distributive Law and bring all the like terms together:
3x + 3x - 7 = 11
= 6x - 7 = 11
= 6x = 11 + 7
= 6x = 18
= x = [tex]\frac{18}{6}[/tex]
= x = 3
Substitute the calculated value of x into (equation i) to determine the value of y:
3 x - 7 = y
= 3(3) - 7 = y
= 9 - 7 = y
= y = 2
The 65 students in a classical music lecture class were polled, with the following results: 36 like Wolfgang Amadeus Mozart 37 like Ludwig van Beethoven 32 like Franz Joseph Haydn 14 like Mozart and Beethoven 20 like Mozart and Haydn 15 like Beethoven and Haydn 8 like all three composers. How many of these students like:________.
a. exactly two of these composers?
b. exactly one of these composers?
c. like only Mozart?
d. like haydn and exactly one of the other two?
e. like none of these composers?
The following are the solutions for the student data:
a. 25 students like exactly two of the composers
b. 31 students like exactly one these composers
c. 10 students like only Mozart
d. 19 students like haydn and exactly one of the other two composers
e. Only one student like none of these composers.
What is Venn diagramVenn diagrams are commonly used in mathematics, statistics, and logic to illustrate relationships between sets of data. It consists of circles that overlap to show the similarities and differences between the sets like in the case of students data.
Students who like:
All three composers = 8
Only Mozart and Beethoven = 14 - 8 = 6
Only Mozart and Haydn = 20 - 8 = 12
Only Beethoven and Haydn = 15 - 8 = 7
Only Mozart = 36 - (6 + 12 + 8) = 10
Only Beethoven = 37 - (6 + 7 + 8) = 16
Only Haydn = 32 - (12 + 7 + 8) = 5
Students who like none of the composers:
65 - (10 + 16 + 5 + 12 + 6 + 7 + 8)
65 - 64 = 1
Therefore, students who like:
exactly two of the composers = 12 + 6 7 = 25 students
exactly one these composers = 10 + 16 + 5 = 31 students
only Mozart = 10 students
Haydn and exactly one of the other two composers = 12 + 7 = 19 students
none of the composers = 1 student
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In a triangle ABC,point D divides side DC in the ratio AD:DC is 1:2
The two sides are x and 2x.
What is a triangle?A triangle is a polygon with three edges and three vertices. It is one of the basic shapes in geometry. A triangle with vertices A, B, and C is denoted \triangle ABC.
Given here: In a triangle ABC,point D divides side DC in the ratio AD:DC is 1:2
Thus the two sides are x and 2x respectively.
and x+2x=DC
Hence, The two sides are x and 2x.
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How do I solve this?
Line T crosses the x-axis at point R, with coordinates (k,0). Suppose that w is increasing at the constant rate of 5 units per second.
what is the rate of change of the area of triangle PQR with respect to time?In the figure above, line T is tangent to the graph of
y=1/x2
at point
P
, with coordinates
(w,1/ w2 )
, where
w>0
. Point
Q
has coordinates
(w,0)
. Line
T
crosses the
x
-axis at point
R
, with coordinates
(k,0)
. Suppose that
w
is increasing at the constant rate of 5 units per second. When
w=2
, what is the rate of change of the area of triangle PQR with respect to time? Determine whether the area is increasing or decreasing at this instant. Round to three decimal places.
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