Before he moved, Chet was a student at
this school, If you include Chet's ant farm in
the data, the median is 8. How many ants
does Chet's ant farm have? Explain your
reasoning

Answer:

The correct option is C. The function [tex]f(x)=\frac{5}{4}(\frac{4}{5})^x[/tex] is a stretch of an exponential decay function.

Step-by-step explanation:

The general form of an exponential function is

[tex]f(x)=ab^x[/tex]

where, a is the initial value and b is the growth factor.

If b<1, then it represents a decay function and if b>1, then it represents a growth function.

Let k be a stretch and compression factor.

[tex]g(x)=kf(x)[/tex]

If k<1, then it represents vertical compression and if k>1, then it represents vertical stretch.

In third function

[tex]f(x)=\frac{5}{4}(\frac{4}{5})^x[/tex]

[tex]k > 1[/tex]

[tex]b < 1[/tex]

Therefore the function [tex]f(x)=\frac{5}{4}(\frac{4}{5})^x[/tex] is a stretch of an exponential decay function.

Answer:

(a) h(t) = 3

(b) time = 1.36 seconds

Explanation:

equation: h(t) = -16(t)² + 24t

If the fielder catches the ball at the height of about 3 ft.

using graphing technology, graphed below. (height, y = 3)

Additional *solving part B algebraically*

-16(t)² + 24t = 3

-16(t)² + 24t - 3 = 0

using quadratic equation

[tex]\bold{x = \frac{ -b \pm \sqrt{b^2 - 4ac}}{2a} \ when \ ax^2 + bx + c = 0}[/tex]

==================================

[tex]\sf t_{1,\:2}=\frac{-24\pm \sqrt{24^2-4\left(-16\right)\left(-3\right)}}{2\left(-16\right)}[/tex]

[tex]\sf t=\frac{3-\sqrt{6}}{4}, \ t=\frac{3+\sqrt{6}}{4}[/tex]

t = 1.36 seconds   and     0.14 seconds

The fielder shall catch the ball when the ball is falling, so time : 1.36 s

Answer:

See below ~

Step-by-step explanation:

a. Equation

b. Finding the duration of the kickball in air using graphing technology

Answer:

Step-by-step explanation:

Answer:

1.7 cm

Step-by-step explanation:

The formula to find the hypotenuse: [tex]c^{2} = a^{2} +b^{2}[/tex]. In this case, the hypotenus is given.

1) Substitute the values into the formula.

[tex]2^{2} = 1^{2} +b^{2}[/tex]

2) Solve for [tex]b[/tex].

[tex]4 = 1 + b^{2} \\4 - 1 = b^{2}\\3 = b^{2}\\\sqrt{3} = b\\1.73205 = b[/tex]

3) Round the answer to the nearest tenth.

[tex]1.7 = b[/tex]

Answer:

18,000 meters

Step-by-step explanation:

We know:

Substitute:

{ v = 4      ⇒ INTO FORMULA ⇒ D = V × T : D = 4 × 24

{ t = 24

Cross out the common factor:

⇒ 6 × 3000

Calculate the product or quotient:

⇒ 18,000

Answer:

what !!!!!!!!!!!?!!!???????????!!??!?!??!!!?!?!!!?!!!!

Step-by-step explanation:

this is a joke like reallyy

Answer:

Simplify 4/ (square root of 5) 4 √5 4 5 Multiply 4 √5 4 5 by √5 √5 5 5. 4 √5 ⋅ √5 √5 4 5 ⋅ 5 5

Step-by-step explanation:

Answer:

x=13

Step-by-step explanation:

The question is an illustration of trigonometry ratio, and the tangent of the angle is 12/13

Let the angle be x.

The sine of the angle is given as:

sin(x) = 5/13

The sine of an angle is calculated using:

sin(x) = opposite/hypotenuse

By Pythagoras theorem, we have:

Hypotenuse^2 = Adjacent^2 +Opposite^2

This gives

13^2 = Adjacent^2 + 5^2

Rewrite as:

Adjacent^2 = 13^2 - 5^2

Evaluate

Adjacent^2 = 144

Take the square root of both sides

Adjacent = 12

The tangent is then calculated using

tan(x) = Adjacent/Hypotenuse

So, we have:

tan(x) = 12/13

Hence, the tangent of the angle is 12/13

Read more about trigonometry ratio at:

https://brainly.com/question/11967894

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Answer:

Step-by-step explanation:

Answer:

-2240

Step-by-step explanation:

1.  348-3435 = -3087

2. -3087 + 847 = -2240

Answer:

(x - 6)^2 = 48.

Step-by-step explanation:

x2 - 12x - 5 = 7

x2 - 12x = 12

(x - 6)^2 - 36 = 12

(x - 6)^2 = 48

Answer:

The answer is A.

Step-by-step explanation:

The only option is A. since an intercept of (-5,0)

Option B has y-int: (0,-5)
Option C has y-int: (0,5)

Option D has x-int(5,0)

Answer:

use what

Step-by-step explanation:

Answer:

The answer to this expression is [tex]\frac{13x-6}{6}[/tex], or [tex]\frac{13x}{6} - 1[/tex].

Step-by-step explanation:

The given problem is [tex]\displaystyle \frac{2x}{3}+\frac{(3)x-2}{2}[/tex] .

Let's start by finding common denominators for the fractions so that we can add them. The simplest common denominator is 6; we multiply [tex]\frac{2x}{3}[/tex] by [tex]\frac{2}{2}[/tex] and [tex]\frac{3x-2}{2}[/tex] by [tex]\frac{3}{3}[/tex].

Now, since the fractions have common denominators, we can add them together.

The answer to this expression is [tex]\frac{13x-6}{6}[/tex], or [tex]\frac{13x}{6} - 1[/tex].

Answer:

Step-by-step explanation:

The mode is the value in a data set which is the most frequently repeated.

In this case, 10 repeats 3 times, 9 and 8 each repeat twice.

Therefore, 10 is the mode.

Answer:

10

Step-by-step explanation:

Mode means which of the numbers you see more like 8 ,9 ,10 ,9 ,8 ,10 ,10

in this you can see 10 more often then you see the others

It's impossible to answer this without the table...

Answer:

12

Step-by-step explanation:

set up your proportion 80/200=X/30 and cross multiply.
200X=2400 then isolate the variable by dividing 2400 by 200. This gives you 12 and that is your answer.

Answer:

39.5

Step-by-step explanation:

1 Triangle; 3

other Triangle; 4.5

Rectangles; 32

Hope This Helps! :)

The true statement is that the p-value is a probability that measures the support (or lack of support) for the null hypothesis.

In a statistical test, the p-value validates or invalidates the null hypothesis

This means that

So the true statement about the p value is that it measures the support (or lack of support) for the null hypothesis.

Read more about p-values at:

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Answer:

[tex]\huge\underline{\red{A}\blue{n}\pink{s}\purple{w}\orange{e}\green{r} -}[/tex]

the question states that a person named Ben has two copies of the same poster having different sizes , provided they both are squares !

further , we've been given that the side length of the posters are in the ratio of 3:7 and the perimeter of the smaller posted is 27 cm .

We've been asked to find the perimeter of the bigger poster !

so let's start ~

[tex]let\: the \: length \: of \: the \: smaller \: poster \: be \: 3x \\ \\ let \: the \: length \: of \: the \: bigger \: poster \: be \: 7x \\ \\ now \: , \: \\ \\ perimeter \: of \: square = 4 \times side \\ \\ \implies \: perimeter \: of \: shorter \: square = 4 \times 3x \\ \\ \implies \: 27 = 3x \\ \\ x = \cancel\frac{27}{3} \\ \\ \implies\red{\boxed{ \: x = 9 \: cm}}[/tex]

now ,

[tex]side \: length \: of \: bigger \: square = 7x \\ \\ \implies \: 7 \times 9 = 63 \: cm \\ \\ \therefore \: perimeter \: of \: bigger \: square = 4 \times 63 \\ \\ \bold\pink{\implies \: 252 \: cm}[/tex]

hope helpful :D

Answer:

r=2.5

Step-by-step explanation:

with a diamter of 5 you divied it by 2 to get the answer which would be 2.5

Answer:

D. 25

Step-by-step explanation:

To find the new value of c when completing the square, use the formula [tex](\frac{b}{2} )^{2}[/tex].

Plugging in the given values:

[tex](\frac{10}{2} )^{2}[/tex]

(5)²

= 25

hope this helps!

Answer:

25

Step-by-step explanation:

when solving the equation, you're going to add have the coefficient of x to bothsides.

from the question, the coefficient of x is 10 and half of it is 5

5^2= 25

Answer:

n+14z+2

Step-by-step explanation:

2n+4z+6-n+10z-4

2n-n+4z+10z+6-4

=n+14z+2

Answer: The measure of the third angle would be 71

Step-by-step explanation:

Answer:

68!

Step-by-step explanation:

Side c (side a being 32, and side b being 60) is equal to 68.

I like to use the Omni calculator for figuring out the missing side of the triangle (website)

hope this helps:)

Answer:

D. 106m2

Step-by-step explanation:

First, how many ways are there for the 1st poster?

It can be the first, the 2nd, the 3rd, the 4th, or the 5th.

How many ways are there for the 2nd poster?

there are 4 ways, because one of them is occupied by the first poster

There are 3 ways for the 3rd poster, 2 ways for the 4th poster and 1 way for the 5th poster.

Multiply the number of ways together : 120 ways

These are the ways we can arrange the 5 posters ↓

[tex]\boxed{\\\begin{minipage}{2 cm}poster~1 \\ \\ \end{minipage}}[/tex]     [tex]\boxed{\\\begin{minipage}{2cm}poster~2 \\ \\ \end{minipage}}[/tex]   [tex]\boxed{\\\begin{minipage}{2cm}poster~3 \\ \\ \end{minipage}}[/tex]  [tex]\boxed{\\\begin{minipage}{2cm}poster~4 \\ \\ \end{minipage}}[/tex]  [tex]\boxed{\\\begin{minipage}{2cm}poster~5 \\ \\ \end{minipage}}[/tex]

We could replace P1 (Poster 1) with any of the 4 posters here, and do the same thing with the other posters...

Overall, believe it or not, there are 120 ways to arrange these 5 posters.

A quick way to calculate this is

5!=5*4*3*2*1

120

120

hope helpful ~

There are 120 different ways the posters can be arranged in a row

from the question, we have the following parameters that can be used in our computation:

Number of posters = 5

This means that

n = 5

The different ways the posters can be arranged in a row is calculated as

Ways = n!

So, we have

Ways = 5!

Expand

Ways = 5 * 4 *3 * 2 * 1

Evaluate

Ways = 120

Hence, the number of ways is 120

Read mroe about permutation at

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Answer:

2/5

Step-by-step explanation:

40/100 answered city B, simplified it is 4/10 and then 2/5

Answer:

124

Step-by-step explanation: Since the length is 28, the width is 20,  and teh height is 14, you have to do 28+20+14, which equals 62. 62 x 2 = 124.