MODELING WITH MATHEMATICS The football field is rectangular
(10x + 10) ft
TAR
(4x+20) ft
a. Write a polynomial that represents the area of the football field. Write your answer in standard form.
ft2
b. Find the area of the football field when the width is 160 feet.
The area is
square feet

Answer:

3.25

Step-by-step explanation:

Answer:

  4811

Step-by-step explanation:

The multiplier in 5 hours is 3900/3000 = 1.3, so we can write the exponential growth function as ...

  n(t) = (initial number)·(growth factor)^(t/(time for growth factor))

  n(t) = 3000·1.3^(t/5)

Then the number present after 9 hours is ...

  n(9) = 3000·(1.3^9/5) ≈ 4811

Answer:

4811

Step-by-step explanation:

FOR PLATO

Answer:

First Slot is B and the second slot is A

Step-by-step explanation:

B is in the x coordinate

A is in the y coordinate

And when you look at the formula it should make sense ;D

Answer:

The answer is 19.

Step-by-step explanation:

Because the 10 is 6 more than the 4, we subtract 6 from 25 (because they said that they were similar).

Answer:

The first one is B because it does pass the vertical line test... (there is no explanation because it does pass the line test)

the second one is D or B... I don't know which one but there you go!!

I tried!!!

Step-by-step explanation:

I want brainliest

Answer:

15

Step-by-step explanation:

15 is the answer because i looked it up

The required value of segment FG is 67 if G is the midpoint of FH.

A line segment is defined as a measured path between two places. Line segments can make up any polygon's sides because they have a set length.

The figure given below shows a line segment FH, where the length of line segment FHrefers to the distance between its endpoints, F and H.

Given that G is the midpoint of FH

FG = 14x + 25 and  GH= 73 - 2x,

To determine the value of FG

F______________G______________H

⇒ FH= FG+ GH

Since G is the midpoint of FH, SoFG = GH

⇒  FH = FG+ GH

⇒ FH = 2FG

⇒ FG = GH

Substitute the values of FG = 14x + 25 and  GH = 73 - 2x,

⇒ 14x + 25 = 73 - 2x

⇒ 14x + 2x = 73 - 25

⇒ 16x = 48

⇒ x = 48/16

⇒ x = 3

Substitute the value of x = 3 in FG,

⇒ FG = 14x + 25

⇒ FG = 14(3) +25

⇒ FG = 67

Hence, the required value of segment FG is 67 if G is the midpoint of FH.

Learn more about the line segment here:

brainly.com/question/25727583

#SPJ2

The question seems to be incomplete the correct question would be

If G is the midpoint of FH,

find FG.

Where FG = 14x + 25 and  GH= 73 - 2x,

Answer:

Step-by-step explanation:

find the value of y in the second equation

x + y = -2,

but y = -2-x as well

so take the value that we have found for (x) into the first equation

2x + 2(-2-x)= 8

-2x + -4-2x = 8

-4x-4=8

-4x = 12

x=-3,

now just substitute x value into either equation

x + y =-2

-3 + y = -2

y =1

Answer:

first is true

second is false

third is true

fourth is false

the last few questions about the volume are a little choppy, but the correct volume is 268cm³.

Step-by-step explanation:

hope this helps<<3

Answer:

We conclude that the mean resting pulse rate for men is 72 beats per minute.

Step-by-step explanation:

We are given that he mean resting pulse rate for men is 72 beats per minute. Assume that the standard deviation of the resting pulse rates of all men who work out at Mitch's Gym is known to be 2.6 beats per minute.

A simple random sample of men who regularly work out at Mitch's Gym is obtained and their resting pulse rates (in beats per minute) are listed below;

87, 89, 69, 63, 70, 65, 88, 84, 58, 53, 66, 70.

Let [tex]\mu[/tex] = mean resting pulse rate for men.

SO, Null Hypothesis, [tex]H_0[/tex] : [tex]\mu[/tex] = 72 beats/minute     {means that the mean resting pulse rate for men is 72 beats per minute}

Alternate Hypothesis, [tex]H_A[/tex] : [tex]\mu[/tex] < 72 beats/minute      {means that the mean resting pulse rate for men is less than 72 beats per minute}

The test statistics that would be used here One-sample z-test statistics as we know about population standard deviation;

                            T.S. =  [tex]\frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }[/tex]  ~ N(0,1)

where, [tex]\bar X[/tex] = sample mean mean resting pulse rate = [tex]\frac{\sum X}{n}[/tex]

                =  [tex]\frac{87+ 89+ 69 +63 +70 +65+ 88+ 84+ 58+ 53+ 66+ 70}{12}[/tex]  = 71.83 beats/minute

            [tex]\sigma[/tex] = population standard deviation = 2.6 beats per minute

            n = sample of men = 12

So, the test statistics  =  [tex]\frac{71.83 - 72}{\frac{2.6}{\sqrt{12} } }[/tex]    

                                     =  -0.23

The value of z test statistics is -0.23.

Also, P-value of the test statistics is given by;

            P(Z < -0.23) = 1 - P(Z [tex]\leq[/tex] 0.23)

                                 = 1 - 0.59095 = 0.40905

Now, at 0.05 significance level the z table gives critical value of -1.645 for left-tailed test.

Since our test statistic is more than the critical value of z as -0.23 > -1.645, so we have insufficient evidence to reject our null hypothesis as it will not fall in the rejection region due to which we fail to reject our null hypothesis.

Therefore, we conclude that the mean resting pulse rate for men is 72 beats per minute.

Answer:

102

Step-by-step explanation:

1 fluid ounce = 6 teaspoons

Answer:

1250 ml

Step-by-step explanation:

Answer:

I’m glad you asked!

Step-by-step explanation:

2/5 + 750 ml equals the full jar amount or capacity.750/ 3 equals 250.That makes 150 the denominator.Now we just need to multiply 250 by 5.

[tex]250 x 5 = 1250.[/tex]

Answer:

C), they didn't multiply by one half

Step-by-step explanation:

just did it on edge

Answer:

The answer is C

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

Anyone can solve this

Answer:

B = 6√10

Step-by-step explanation:

In the attached file

Answer:

The given equation is

[tex]y=4x+3[/tex]

To graph this equation, we need to create a table for all the coordinates pairs.

 X      Y

 0      3

-3/4    0

So, we have two points, (0,3) and (-3/4, 0). Now, we graph them to draw a straight line as the image attached shows.

To find the slope, we use those points.

[tex]m=\frac{y_{2} -y_{1} }{x_{2} -x_{1} }=\frac{0-3}{-\frac{3}{4} -0} =\frac{-3}{-\frac{3}{4} }\\ m=4[/tex]

So, the slope is 4.

The angle of inclination is found by the formula

[tex]tan \theta = m[/tex]

Where [tex]\theta[/tex] is the angle and [tex]m[/tex] is the slope.

[tex]\theta = tan^{-1}(4) \approx 76\°[/tex]

Therefore, the angle of inclination is 76°, approximately.

Answer:

8.062258

Step-by-step explanation:

d = 8.062258

For:

(-2, 3)

(5, -1)

Distance Equation Solution:

d=√(5−(−2))2+(−1−3)2

d=√(7)2+(−4)2

d=√49+16

d=6–√5

I belive the answer is

d=8.062258

Answer:

6 in ^2

Step-by-step explanation:

divide side lengths by two and add those numbers

Answer:

B

Step-by-step explanation:

because u increased it by 2x

Answer:

Unfortunately I can't read your answer options properly. The copied text is just too messed up. But hopefully the step-by-step calculation will help you.

Lemme know if it worked for you and if you have further questions.

Step-by-step explanation:

3x - 2y = -6

can be rewritten as

2y = 3x + 6

or simpler

y = 1.5x + 3

we know that it's parallel to this line, but we don't know how much lower or higher the new line will be, so let's set "+3" as an unknown variable.

y = 1.5x + b

(the letter b is now what we try to solve for)

now let's plug in the x-/y-Informations of the given point

2 = 1.5 * 4 + b

2 = 6 + b

-4 = b

so the new line is

y = 1.5x -4

(the given point lies on that line and it's parallel to the other line)

let's multiply everything by two to get closer to the original format

2y = 3x -8

it could also be expressed as

2y = -(-3x+8)

(in hope that this may help for choosing an answer option)

please clean up the text of questions before posting next time

(would really appreciate the brainliest)

Answer:

Option A. 283 cm²

Step-by-step explanation:

to find the area of the shaded sector, we use the formula:

 [tex]\frac{\text{angle given}}{360^\circ}\times \text{area of the circle}[/tex]

where area of the circle = πr²

∴ for the given circle,

[tex]\text{Area of the sector}=\frac{\text{given angle}}{360^\circ} \times \pi r^2[/tex]

                            =  [tex]\frac{100}{360}\times 3.14\times 18\times 18[/tex]

                            = [tex]\frac{100}{360}\times 1017.36[/tex]

                            = 282.6

                            ≈ 283 cm²

The approximate area of the shaded sector is 283 cm².

Answer:

Sally ran an average of 3 mph

Step-by-step explanation:

If Igor's average speed was 6mph and he completed the distance in 2 hours and Sally completed it in 4 hours that means that she took twice as long as Igor and Igor's 6mph divided by two is 3, so Sally went an average of 3 mph

Answer:

Step-by-step explanation:

no

as

P(A∩B)=P(A)×P(B)

and P(A)>1/2

also

P(A)≤1

similarly P(B)>1/2

and

P(B)≤1

P(A)×P(B)≤1

so P(A and B) not greater than 1

Answer:

Step-by-step explanation:

If (x+8) is a factor of f(x), then for some expression p, we have ...

  f(x) = (x+8)p

Evaluated at x=-8, this gives ...

  f(-8) = (-8+8)p = 0p

  f(-8) = 0 . . . . must be true

_____

Similarly, f(8) = (8+8)p = 16p. This may or may not be zero, depending on the factors of p. The only offered statement that must be true is the one shown above.

Answer:

F-8)= 0 hope this helps!!!!!

Step-by-step explanation:

Answer:

Mode:7

Median:2

Mean:5.2

Range:7

Step-by-step explanation:

see the picture attached

The mode of the given series is 7, the median of the given series is 5 and 7, the mean of the given series is 5.2, and the range of the given series is 7.

Given :

Numbers  --  3, 7, 2, 4, 7, 5, 7, 1, 8, 8

a) Mode is the number that repeats in the series maximum time. Therefore, the mode of the given series is 7.

b) The median of the given series is 5 and 7.

c) The formula of mean is used in order to determine the mean of the given series.

[tex]{\rm Mean} = \dfrac{3+7+2+4+7+5+7+1+8+8}{10}[/tex]

[tex]\rm Mean = \dfrac{52}{10}[/tex]

[tex]\rm Mean = 5.2[/tex]

d) The range of the given series is calculated as:

[tex]\rm Range = 8-1[/tex]

[tex]\rm Range = 7[/tex]

For more information, refer to the link given below:

https://brainly.com/question/300591

Answer:the answer is 9,6

Step-by-step explanation:

I JUST TOOK THE QUIZ

Answer:

C (9,6) did it on edge

Answer:

A on ed

Step-by-step explanation:

Answer:

I love you sweetheart I want to look and love you

Answer:

slope- 1/4

y intercept- 1

Answer:

-5t^2+2t-3

Step-by-step explanation:

Answer:

Answer is below

Step-by-step explanation:

The equation for the horizontal line is x = 4. The equation for the vertical line is y = 5.

I graphed the lines on the graph below to show you that they intersect at the point (4,5).

If these answers are correct, please make me Brainliest!

Answer:

Only expression that's not equal to 30 is option 3 which is; (2 x 60 : 30) x (24 + 2)

Step-by-step explanation:

We want to find which of the expression is not equal to 30.

1) (120 : 20) x (2+3)

Using BODMAS, we will solve the brackets first. So, we have;

(120/20) × 5

Note that a ratio implies division.

So, we have;

6 x 5 = 30

2) (9 x 10) : (4 + 1) + 12

Again, using BODMAS, solve the brackets first.

90 : 5 + 12

Ratio symbol is division and so it come before addition in BODMAS.

So, we have;

(90/5) + 12 = 18 + 12 = 30

3) (2 x 60 : 30) x (24 + 2)

Again, using BODMAS, solve the brackets first.

In the first bracket, we'll use division first before multiplication.

(2 x 60/30) x (26) =

2 x 2 x 26 = 104

4) 2 + (30 - 8:4)

Again, using BODMAS, solve the brackets first.

In the second bracket, division goes first. So,

2 + (30 - 8/4) = 2 + (30 - 2) = 2 + 28 = 30

So the only expression that's not equal to 30 is option 3 which is; (2 x 60 : 30) x (24 + 2)