- Critique Reasoning Tanya recorded the ages
of 10 local babysitters: 20, 16, 18, 13, 14, 13,
12, 16, 22, 18. She says that the box plot below
shows the distribution of ages. What error did
she make?
Babysitters
HHHHHH
12
14
10
16
18
20
22
24
Age in Years

Answer:The function that represents an exponential function is the 4th graph and it can be modeled as y = aeᵇˣ.

What are exponential functions?

The exponential functions are written in the form of y = aeᵇˣ, where the output y increases exponentially for the input x.

In order to find the graph that represents an exponential function, we will discuss each of the following graphs,

For the 1st graph, (Black),

In the first graph, the graph is of a parabola, and the function which represents this kind of graph is a quadratic equation, therefore, this graph represents a parabolic equation. It is given by the function,

y=ax²+bx+c or y=a(x-h)²+k

For the 2nd graph, (Red),

In the second graph, the graph represented is the graph of a reciprocal function, the function that can be represented by the graph,

y=a/x + b

For the 3rd graph, (Blue),

In the third graph, the graph represented is the graph of root function, it can be modeled as,

y = a+√(x+b)

For the 4th graph, (Green),

In the fourth graph, the graph represented is the graph of an exponential function, and it can be modeled as,

y = aeᵇˣ

Hence, the function that represents an exponential function is the 4th graph and it can be modeled as y = aeᵇˣ.

Step-by-step explanation:

Answer:

9/20

Step-by-step explanation:

1/4=.25

1/5=.20

add .25 and .20 and you get .45

convert .45 into a fraction in which you can just use the fractions provided and all you got to do is match the decimal on a calculator

Answer:

9(n+2) = 4

Step-by-step explanation:

9(n+2) = 4

to solve for 'n' first distribute the 9 to get:

9n + 18 = 4

subtract 18 from each side to get:

9n = -14

n = -14/9

Answer:

its positive 29 since you dividin a negative 1 and a negative divided by a negative is a positive

Step-by-step explanation:

Answer:

Assuming you're hoping to solve the inequality for x, x > 29

Step-by-step explanation:

When dividing both sides of an inequality by -1, the sign will be reversed. In this case, the sign will change from a less than to a greater than, meaning -x < -29 => x > 29.

Answer:

60 cm³

volume of triangular prism : area of base * Length

Given:

Find area of base:

[tex]\rightarrow \sf \dfrac{1}{2} * side \ 1 \ * side \ 2 \ * \ sin (\theta)[/tex]

[tex]\rightarrow \sf \dfrac{1}{2} *\ 4 \ * \ 3 \ * \ sin (90)[/tex]

[tex]\rightarrow \sf 6 \ cm^2[/tex]

Volume :

Answer:

60 cm³

Step-by-step explanation:

To calculate the volume of the prism, we need to find the area of the triangle and multiply it by the height of the prism.

⇒ Volume of prism = Area of triangle × Height of prism

Find the area of the triangle

⇒ Volume of prism = (Area of triangle) × Height

⇒ Volume of prism = (1/2 × Base × Altitude) × Height of prism

⇒ Volume of prism = (1/2 × 3 × 4) × Height of prism

⇒ Volume of prism = (3 × 2) × Height of prism

⇒ Volume of prism = 6 × Height of prism

Substitute the height in the volume

⇒ Volume of prism = 6 × Height of prism

⇒ Volume of prism = 6 × 10

Solve for the volume.

⇒ Volume of prism = 6 × 10

⇒ Volume of prism = 60 cm³

Answer:

XZ is longer than XY

Step-by-step explanation:

First we can notice all of the answers consist of knowing the lengths, so we must now find the lengths for each segment. To do this, we must use the pythagorean theorem.

(1, -1) and (-5, -5)

-5- -1 = -4

-5-1 = -6

-4^2+-6^2 = c^2

16+36 = c^2

52 = c^2

7.21110255 = c

So, the length of XZ is 7.21110255 units long

(1, -1) and (8, -2)

8-1 = 7

-2--1 = -1

7^2+-1^2 = c^2

49+1 = c^2

50 = c^2

7.07106781 = c

So, the length of XY is 7.07106781 units long.

XZ is longer than XY

Step-by-step explanation:

please mark me as brainlest

Answer:

Step-by-step explanation:

[tex]\dfrac{x}{3}+\dfrac{y}{4}=2\\\\\\\text{Multiply the whole equation by the LCM of 4 , 12 which is 12}\\\\ 12*\dfrac{x}{3}+12*\dfrac{y}{4}=12*2\\\\\\4x + 3y=24 \ -------------------(i)[/tex]

[tex]\dfrac{2x}{3}+\dfrac{3y}{4}=5\\\\\\\text{Multiply the whole equation by 12}\\\\12*\dfrac{2x}{3}+12*\dfrac{3y}{4}=5*12\\\\\\[/tex]

8x + 9y = 60 -------------------------(ii)

Multiply  equation (i) by (-2)

(i)*(-2)              -8x -6y = -48

(ii)                     8x +9y = 60   {Now add. x will be cancelled}

                                3y = 12    {Divide both sides by 3}

                                  y = 12/3

y = 4

Substitute y = 4 in equation (i)

4x + 3*4 = 24

4x + 12   = 24

         4x = 24 - 12

         4x = 12

           x = 12/4

x = 3

[tex]\boxed{x = 3 \ ; \ y = 4}[/tex]

keeping in mind that the vertex is half-way between the focus point and the directrix, and since the focus point is above the directrix, meaning the parabola is a vertical parabola opening upwards, the parabola will more or less look like the one in the picture below, with a distance from the vertex of "p" being positive since it's opening upwards.

[tex]\textit{vertical parabola vertex form with focus point distance} \\\\ 4p(y- k)=(x- h)^2 \qquad \begin{cases} \stackrel{vertex}{(h,k)}\qquad \stackrel{focus~point}{(h,k+p)}\qquad \stackrel{directrix}{y=k-p}\\\\ p=\textit{distance from vertex to }\\ \qquad \textit{ focus or directrix}\\\\ \stackrel{"p"~is~negative}{op ens~\cap}\qquad \stackrel{"p"~is~positive}{op ens~\cup} \end{cases} \\\\[-0.35em] \rule{34em}{0.25pt}[/tex]

[tex]\begin{cases} h=0\\ k=0\\ p=\frac{1}{2} \end{cases}\implies 4(\frac{1}{2})(y-0)~~ = ~~(x-0)^2\implies 2y=x^2\implies y=\cfrac{1}{2}x^2[/tex]

Answer:

  A. Find h(10) = 0 . . . (it is not)

  B. h(5.235) = 0; hang time was about 5.235 seconds

Step-by-step explanation:

The hang time of the ball is the value of x in h(x) such that h(x) = 0.

__

Juan can show the hang time is 10 seconds by finding h(10) = 0. The value of h(10) is ...

  h(10) = -16(10²) +83(10) +4 = -1600 +834 = -766 ≠ 0

Juan cannot prove the hang time was 10 seconds.

__

The hang time is the solution to ...

  h(x) = 0

  -16x² +83x +4 = 0 . . . . . use the given expression for h(x)

  x² -5.1875x = 0.25 . . . . divide by -16

  x² -5.1875x +6.7275390625 = 6.9775390625 . . . . add (5.1875/2)²

  (x -2.59375)² = 6.9775390625 . . . . . . . . . . rewrite as a square

  x = 2.59375 ±√6.9775390625 ≈ {-0.048, 5.235} . . . . square root, find x

The hang time of the ball was about 5.235 seconds.

__

We like a graphing calculator for finding a quick solution to questions like this.

Answer:

no you couldnt

Step-by-step explanation:

the answer is b if i remeber

Answer:

2686

Step-by-step explanation:

First let's find the area of the garden.

[tex]60 \times 50 = 3000ft {}^{2} [/tex]

Now let's find the area of the pool.

[tex]3.14 \times 10 {}^{2} [/tex]

[tex]3.14 \times 100 = 314ft {}^{2} [/tex]

Lastly subtract both products.

[tex]3000 - 314 = 2686[/tex]

The partitions involves dividing the line into subsegments

The coordinate of the point on the directed line segment is (0.5,-2)

The given parameters are:-

line segment = (-1, -1) to (5,-5)

Segment ratio = 1 : 3

The coordinates of the partition is calculated as:

[tex](x,y) = (\frac{mx_2 + nx_1}{m+ n},\frac{my_2 + ny_1}{m+ n})[/tex]

Substitute known values

[tex](x,y) = (\frac{1 *5 + 3 * -1}{1+ 3},\frac{1 *-5 + 3 * -1}{1+ 3})[/tex]

Evaluate the products

[tex](x,y) = (\frac{2}{4},\frac{-8}{4})[/tex]

Evaluate the quotients

[tex](x,y) = (0.5,-2)[/tex]

Hence, the coordinate of the partition is (x,y) = (0.5,-2)

Read more about line partitions at:

https://brainly.com/question/12959377

Answer:

Step-by-step explanation:

Answer:

The answer is A

Step-by-step explanation:

Since the number that you are finding the multiple of is 2, it has to be an even number. Another way is if 2 by another whole number equals the answer choice then you got your answer.

Answer:

Step-by-step explanation:

True

Answer:

#6:

Step-by-step explanation:

#6

So these two angles are actually the same. Since the lines l and m are parallels and those angles are opposite from each other, they are the same.

This means you can solve for x by saying:

3x-63 = 2x+2

x = 65

#7

Since the l and m are parallels, and the angles are NOT opposite, when you add the two angles together, you should get 180 degrees

So:

(2x + 20) + (6x + 24) = 180

x = 17

Answer:

7 units

Step-by-step explanation:

Since the two points have the same y-coordinate of -5, the distance between them is due to the difference of their x-coordinates.

Distance

= 4-(-3)

= 4 +3

= 7 units

Note:

Should the two points have different x and y coordinates, you may use the distance formula below.

[tex]\boxed{\textcolor{steelblue}{\text{Distance between 2 points}= \sqrt{(y_1 - y_2)^{2} + (x_1 - x_2)^{2} } }}[/tex]

where (x₁, y₁) is the first coordinate and (x₂, y₂) is the second coordinate

Answer:

Step-by-step explanation:

y=11/13x−3

hope this helps and mark me brainliest as well please.

Answer:

250 cases

Step-by-step explanation:

3 tons is 6000 pounds

you divide 6000 by 24 and get 250

that is your answer

Answer:

6 3 5 6 8 8

Step-by-step explanation:

farthest apart than any other number

Answer:

Your correct answer is 90 :)

Step-by-step explanation:

90 is the biggest number in the number set so therefore it is an outlier. 

Have an amazing day!!

Please rate and mark brainliest!!

Answer:

D. x< -6

Step-by-step explanation:

Divide both sides by −2. Since −2 is negative, the inequality direction is changed.

x < 12/-2

Divide 12 by −2 to get −6.

x < -6

Answer:

Ans is mean .because mean means average.

Answer:

Your answer is t>28

Have a nice day!

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Answer:

T>28

Step-by-step explanation:

Answer:

x = 8

Step-by-step explanation:

The mean is the average of the population.

Multiplying the mean by 8 terms will get you the total sum.

12 * 8 = 96

Subtracting all the values from the total sum should get you x.

96 - 18 - 15 - 18 - 3 - 3 - 19 - 12 = 8

BC = 11

hope it helps...!!!

Answer:

x = 11

BC = 48

Step-by-step explanation:

11 + 37 = 48 and 4(11) + 4 = 48 and since they are both being multiplied by 11 in place of the x, that makes it congruent. BC is 48 because 11 + 37 = 48. hope it makes sense

Answer:

Formula

Volume of a rectangular prism = width × length × height

Bottom Tier

volume = 12 × 18 × 8

            = 1,728 cm³

Middle Tier

volume = 8 × 12 × 6

            = 576 cm³

Top Tier

volume = 4 × 4 × 4

            = 64 cm³

Entire Cake

Volume = bottom tier + middle tier + top tier

             = 1728 + 576 + 64

             = 2,368 cm³

If the data is not skewed, then the mean is the best measure of center.

This then also includes the standard deviation because the standard deviation relies on the mean.

To get the mean, add up the data values:

5+6+7+7+7+8+8+9+9+9+9+9+10+10+11 = 124

Then divide by the sample size n = 15

124/n = 124/15 = 8.267 approximately

Once you determine the mean, you can then determine the standard deviation which involves a bit more complicated steps. The rough outline is:

Once again, step 1 shows how critical the mean is to finding the standard deviation. The standard deviation measures how far each value is from the mean on average. In other words, it's like a measure of the average distance from the mean.

Use of spreadsheet software is strongly recommended to keep track of everything. You can also use a standard calculator to compute the standard deviation. There are also tons of free online calculators that can help out with that as well.

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If the data was skewed to one side, then the median is the better measure of center because it is not affected by outliers. The IQR (interquartile range) is used instead of the standard deviation for skewed distributions.