The graph below shows how high a ball is expected to bounce when it is dropped from various heights.


Based on this graph, which statement is true?


A. The ball bounces 3/4 the height from which it was dropped.

B. The ball bounces 4/3 the height from which it was dropped.

C. The ball bounces to a height 1 foot less than from which it was dropped.

D. The ball bounces to a height 1 foot greater than that from which it was dropped.


Once you answer, EXPLAIN YOUR THINKING.


Please help fast!

A line segment that measures 92 millimeters in length can be drawn using scale.

Given that,

A line segment has to be drawn which has a measure of length 92 millimeters.

We know that,

10 millimeters = 1 centimeter

1 millimeter = 1/10 centimeters

92 millimeters = 92/10 = 9.2 centimeters

So it is enough to draw a line segment of length 9.2 centimeters.

In the scale, between a centimeter, there are 9 small lines which indicates the millimeters.

In between 9 and 10, there are 9 lines which indicates, 9.1, 9.2, 9.3, ....., 9.9 and after that is 10 cm.

So draw a line segment starting from 0 to 9.2.

Hence the line segment is drawn with scale.

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Answer:

1 value

Step-by-step explanation:

spicifically 5/3

The x satisfy only 1 value and x is  \(\frac{5}{3}\)   .

The modulus function, which is also called the absolute value function gives the magnitude or absolute value of a number irrespective of the number being positive or negative. It always gives a non-negative value of any number or variable. Modulus function is denoted as y = |x| or f(x) = |x|, where f: R → (0,∞) and x ∈ R.

According to the question

-2|3x-5|=0  

Step1: Dividing -2 both side

|3x-5|=0  

Step 2: Open modulus

3x-5=0      and        - 3x+5=0

3x=5         and         - 3x = - 5

x = \(\frac{5}{3}\)    

Hence, the x satisfy only 1 value and x is  \(\frac{5}{3}\)   .

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The amount Chris started with in his savings is $44. option C

1/2x + 10 = 32

1/2x = 32 - 10

1/2x = 22

x = 22 ÷ 1/2

x = 22 × 2/1

x = $44

Therefore, the amount Chris started with in his savings is $44. option C

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Answer:

Step-by-step explanation:

If you were standing near the ocean, your elevation would be 0 feet above sea level.

Elevation above sea level refers to the height of a location above the sea level. It is typically measured in meters or feet. Elevation is important because it can affect the local climate and weather patterns, as well as the availability of resources such as water.

A location with a high elevation may have a cooler climate and less available water, while a location with a low elevation may have a warmer climate and more available water.

This means that if you are standing near the ocean, you would be at sea level and therefore you would be at 0 feet above sea level.

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Answer:

1.5 teaspoons

Step-by-step explanation:

1/(3/4)

=4/3

9/8*4/3

=1.5 teaspoons

PLS GIVE BRAINLIEST

Answer:

There is no particular formula for integer as it is nothing but a set of numbers. But there are certain rules when we perform any mathematical operations like addition, subtraction, etc on integers: Adding two positive integers will always result in a positive integer.

Step-by-step explanation:

The quadratic function is increasing on the interval:

(-∞, 0)

Here we want to see on which intervals is the quadratic function increasing.

Or function is:

f(x) = 5 - 2x^2

Notice that we have a negative leading coefficient, which means that the parabola opens downwards.

Then the function will be increasing from negative infinity to the x-value of the vertex.

Remember that for the general quadratic:

y = a*x^2 + b*x + c

the x-value of the vertex is:

x = -b/2a

In this case we don't have a linear term, so b = 0, then the vertex is at x = 0.

Which means that the function is increasing on the interval (-∞, 0)

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Answer:

\(2\sqrt{77}\)

Step-by-step explanation:

Use the Pythagorean theorem. \(a^{2} +b^{2}=c^{2}\)

a and b are the two side lengths

c is the hypotenuse (value across from the right angle)

Plug in the values that you are given.

\(a^{2} +4^{2} =18^{2}\)

Solve for x

\(x^{2} =18^{2} -4^{2}\)

\(x^{2} =308\)

x=\(\sqrt{308}\)

\(x=2\sqrt{77}\)

8^2 + 2 = 64 + 2 = 66

The answer is 66 because 8 to the second power is 64 and then you add 2.

Answer:

66

Step-by-step explanation:

8^2 is equal to 64

64 +2 = 66

8^2 is 8x8

so 8x8= 64

64+2 is 66

Answer:

  (x, y) = (5, 2)

Step-by-step explanation:

You want to use the elimination method to solve these equations:

To solve the equations by the elimination method you want to combine them in such a way that the coefficient of one of the variables is zero.

The coefficients of x are 4 and 3, so we can eliminate the x variable by multiplying the first equation by 3 and the second equation by -4 before we combine (add) them.

The coefficients of y are 2 and -4, so we can eliminate the y variable by multiplying the first equation by 2 before we combine (add) them. This seems simpler.

  2(4x +2y) +(3x -4y) = 2(24) +(7)

  11x = 55 . . . . . . . . simplify

  x = 5 . . . . . . . . divide by 11

  4(5) +2y = 24 . . . . . . substitute for x in the first equation

  2y = 24 -20 . . . . . subtract 20

  y = 2  . . . . . . . . divide by 2

The solution is (x, y) = (5, 2).

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Answer:

29 degrees

Step-by-step explanation:

Note how both triangles are isosceles triangles, which mean two angles will be equivalent. In the triangle with the marked angle measurement, since the total of angles in a triangle is 180, then the measurement of the unmarked angles have a sum of 180-64, which is 116. Then, as stated before, this triangle is isosceles, so the measurement of each unmarked angle is 116/2, which is 58.
Next, notice how the angle below angle x in that triangle shares a line with one of the 58 degree angles. This means that angle is 180-58, which is 122. Now, since the total of angles in a triangle is 180 and the triangle is isosceles, then angle x is (180-122)/2, which is 58/2, or 29 degrees

Answer:

1.727 x 10^4

Step-by-step explanation:

2.26 x 10^4 = 22 600

5.33 x 10³ = 5330

22 600 - 5330 = 17 270

17 270 = 1.727 x 10^4

Option B is the answer.

The probability that a mouse leaves first and then a bat is given as follows:

14/55.

The parameters that are needed to calculate a probability are listed as follows:

Then the probability is calculated as the division of the number of desired outcomes by the number of total outcomes.

As the animal is not replaced, the probabilities for this problem are given as follows:

Hence the probability is given as follows:

4/11 x 7/10 = 2/11 x 7/5 = 14/55.

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Using the highest common factor, the greatest number of identical binders that the teacher can make is 18.

The highest common factor or multiple of the given numbers is the highest number that can divide them without a remainder.

We know that 2, 9, and 18 can divide 54, 36, and 72 without leaving a remainder.

We can see that the highest common factor is 18.

When we divide 54 by 18, the quotient is 3. If you divide 36 by 18, the quotient is 2.  When you divide 72 by 18, the result is 4.

The number of lined paper = 54 pieces

The number of grid paper = 36 pieces

The number of dividers = 72 dividers

The common factors of 54, 36, and 72 are 2, 9, and 18.

The highest common factor of 54, 36, and 72 is 18.

Thus, 18 binders containing 3 pieces of lined paper, 2 pieces of grid paper, and 4 dividers can be made from the collection, using their HCF.

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Answer:

Explain in your own words how to find the prime factorization of a composite number, ... 89. 14. 21. 90. 17 35. Answer: seventeen is less than thirty-five. 91. 36 19. 92. 6 ... x. 102. 5 25 y. Answer: equation. Simplify Expressions Using the Order of ... Why is it important to use the order of operations to simplify an expression?Find the amount you would have, if it s continuously compounded Using ... We subtract $17 Our balance is $13 - $17 = [B]-$4[/B] ... 28y+-+2%29%5E2+%3D+16&pl=Calculate']Use our circle equation calculator to get the general form ... to isolate x: 4x - 20 + 20 = 72y + 20 Cancel the 20 on the left side, we get: 4x = 72y + 20 ...so your answer4 will be 17-20=x

Step-by-step explanation:

The formula for the absolute value function g(c) is given as follows:

g(c) = |c + 4| - 1,

An absolute value function of vertex (h,k) is defined as follows:

y = a|x - h| + k.

The leading coefficient a of the function is the slope of the increasing part, given as follows:

a = 1.

The coordinates of the vertex are given as follows:

(-4,-1).

Hence the function is given as follows:

g(c) = |c + 4| - 1,

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Answer:

Step-by-step explanation:

The events are not independentd) The events are not mutually exclusiveStep-by-step explanation:Hi!Lets call: Gar = {homes with garage}Pool

Answer:

b. y=0.6x+6

Step-by-step explanation:

First, find the slope using the slope formula, \(\frac{0-6}{-10-0}\). This is 6/10, which simplifies to 3/5 or 0.6. Then you need to find the y-intercept, however, this is already given to you. Remember that the y-intercept is when x=0, so (0,6) must be the y-intercept. Therefore the equation is y=0.6+6.

Step-by-step explanation:

Slope 1/2    point    5,1  

  in point slope form would be

    (y-1) = 1/2 (x-5)

Answer:gove? Does that mean love

Step-by-step explanation:

Let's solve the given questions step by step:

1. Determine the equation of f:

From the given information, we know that the turning point of f is (1, 4). The general form of a quadratic function is f(x) = ax^2 + bx + c. We are given that f(x) = a(x + p)^2 + q, so let's substitute the values:

f(x) = a(x + p)^2 + q

Since the turning point is (1, 4), we can substitute x = 1 and f(x) = 4 into the equation:

4 = a(1 + p)^2 + q

This gives us one equation involving a, p, and q.

2. Determine the equation of g:

The equation of g is given as g(x) = 0.3x + p1.

3. Determine the coordinates of the x-intercept of g:

The x-intercept is the point where the graph of g intersects the x-axis. At this point, the y-coordinate is 0.

Setting g(x) = 0, we can solve for x:

0 = 0.3x + p1

-0.3x = p1

x = -p1/0.3

Therefore, the x-intercept of g is (-p1/0.3, 0).

4. For which values of x will f(x) ≥ g(x)?

To determine the values of x where f(x) is greater than or equal to g(x), we need to compare their expressions.

f(x) = a(x + p)^2 + q

g(x) = 0.3x + p1

We need to find the values of x for which f(x) ≥ g(x):

a(x + p)^2 + q ≥ 0.3x + p1

Simplifying the equation will involve expanding the square and rearranging terms, but since the equation involves variables a, p, and q, we cannot determine the exact values without further information or constraints.

To summarize:

We have determined the equation of f in terms of a, p, and q, and the equation of g in terms of p1. We have also found the coordinates of the x-intercept of g. However, without additional information or constraints, we cannot determine the exact values of a, p, q, or p1, or the values of x for which f(x) ≥ g(x).

Answer:

------------------------

Collinear points are the points on the same line.

There are two lines in the diagram.

The collinear points:

The points that are collinear are  D,G and E  and another set of points which are collinear are L,G and J.

The points which lie on the same straight line are known as collinear points.

Similarly, if three or more number of points are collinear then they form a straight line.

If we observe the figure, the points D,G and E are collinear points as they are on same line.

Similarly the points L, G and H are in the straight line which makes them collinear.

Therefore , the points L,G and J are collinear points.

Hence, the points that are collinear are  D,G and E and another set of points which are collinear are L,G and J

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Answer:

The sample consisting of 64 data values would give a greater precision.

Step-by-step explanation:

The width of a (1 - α)% confidence interval for population mean μ is:

\(\text{Width}=2\cdot z_{\alpha/2}\cdot \frac{\sigma}{\sqrt{n}}\)

So, from the formula of the width of the interval it is clear that the width is inversely proportion to the sample size (n).

That is, as the sample size increases the interval width would decrease and as the sample size decreases the interval width would increase.

Here it is provided that two different samples will be taken from the same population of test scores and a 95% confidence interval will be constructed for each sample to estimate the population mean.

The two sample sizes are:

n₁ = 25

n₂ = 64

The 95% confidence interval constructed using the sample of 64 values will have a smaller width than the the one constructed using the sample of 25 values.

        \(\text{Width}=2\cdot z_{\alpha/2}\cdot \frac{\sigma}{\sqrt{25}}=\frac{1}{5}\ [2\cdot z_{\alpha/2}\cdot \sigma]\)

        \(\text{Width}=2\cdot z_{\alpha/2}\cdot \frac{\sigma}{\sqrt{64}}=\frac{1}{8}\ [2\cdot z_{\alpha/2}\cdot \sigma]\)

Thus, the sample consisting of 64 data values would give a greater precision.

The number of data values would you expect to give a greater precision (a smaller width) for estimating the population mean is 64 and this can be determined by using the formula of width.

Given :

The following steps can be used in order to determine the number of data values would you expect to give a greater precision for estimating the population mean:

Step 1 - The below formula of width is used in order to determine the number of data values.

Step 2 - The formula of width is given below:

\(w = 2\times z_{\alpha /2}\times \dfrac{\sigma}{\sqrt{n} }\)

where \(z_{\alpha /2}\) is the z-score, \(\sigma\) is the standard deviation, and 'n' is the sample size.

Step 3 - Now, at n = 25 the formula of 'w' becomes:

\(w = 2\times z_{\alpha /2}\times \dfrac{\sigma}{\sqrt{25} }\)

\(w = \dfrac{1}{5}\left(2\times z_{\alpha /2}\times\sigma }\right)\)

Step 4 - Now, at n = 64 the formula of 'w' becomes:

\(w = 2\times z_{\alpha /2}\times \dfrac{\sigma}{\sqrt{64} }\)

\(w = \dfrac{1}{8}\left(2\times z_{\alpha /2}\times\sigma }\right)\)

The number of data values would you expect to give a greater precision (a smaller width) for estimating the population mean is 64.

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If  Olivia has read 40 pages of a 70-page book. Then 57.196% of pages has Olivia read

percentage, a relative value indicating hundredth parts of any quantity.

Given,

Olivia has read 40 pages of a 70-page book.

We need to find percent of pages has Olivia read

Let x be the percent of books olivia read.

This can be done by 70 x=40

Divide both sides by 70

x=40/70

x=0.5719

Now multiply this with 100

0.5719×100

57.196

Hence 57.196% percent of pages has Olivia read

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Answer:

(x + 1)^2 + (y - 1)^2 = 74

Step-by-step explanation:

By looking at the graph, we can see the center of the circle is (-1, 1).

Next, we can find the radius. We are given the point (6, -4) is on the circle. The distance from the center to a point on a circle is the radius. We can plug the points (-1, 1) and (6, -4) into the distance formula to get the radius:

r = √([-1-6]^2 + [1-(-4)]^2)

r = √(49 + 25)

r = √74

The equation of a circle is denoted in the form:

(x - h)^2 + (y - k)^2 = r^2

where (h, k) is the center and r is the radius.

We can plug in the values we calculated:

(x + 1)^2 + (y - 1)^2 = 74

The value of function g(x + 2) is the one in option B.

g(x + 2) = 3x + 10

Here we know that the function g(x) is:

g(x) = 3x + 4

We want to find the value of g(x + 2), so we just need to change the argument, here we will get:

g(x + 2) = 3*(x + 2) + 4

Expanding the product:

g(x + 2) = 3x + 3*2 + 4

            = 3x + 10

The correct option is B.

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Answer:

w = #wraps

b = #bags

w+b = 13

6.5w + 2b = 57.5

Step-by-step explanation:

Answer:

1.2 trains for $25.

Step-by-step explanation:

For 50 dollars, you could get 2.4 trains with the $25 dollar option.

For 90 dollars (an extra 40 dollars!) you only get 0.2 more trains.

If you add another $25 to the current $50 on the other option, you get 3.6 trains.

So, 1.2 trains for $25 must be the better option as you can get an extra 1 train for 15 dollars less!

Hope this helps!

Also, who buys 0.2 or 0.6 of a train? -_-