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Naddika [18.5K]
4 years ago
12

A football team gained 35 yards on a first down, lost 15 yards on the second down and gained 12 yards on the third down. How man

y yards do they need to gain on the fourth down to have a ten yard gain from their starting position?
Mathematics
1 answer:
lidiya [134]4 years ago
5 0
13 yards 

35-15=20
20+12=32
32-35=3
3+10=13
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What is the 38th term of 459,450,441,..
galina1969 [7]

Answer:

The 38th term of 459,450,441,.. will be:

a_{13}=351

Step-by-step explanation:

Given the sequence

459,450,441,..

An arithmetic sequence has a constant difference 'd' and is defined by

a_n=a_1+\left(n-1\right)d

computing the differences of all the adjacent terms

450-459=-9,\:\quad \:441-450=-9

so

d=-9

The first element of the sequence is

a_1=459

so the nth term will be

a_n=-9\left(n-1\right)+459

a_n=-9n+468

Putting n=38 to find the 38th term

a_n=-9n+468

a_{13}=-9\left(13\right)+468

a_{13}=-117+468

a_{13}=351

Therefore, the 38th term of 459,450,441,.. will be:

a_{13}=351

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3 years ago
What the slope of (-15,9) (-10,3) ​​​
sweet [91]
The slope is - 3/10

Y over x
6 0
3 years ago
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1.<br> 15% of what number is 45?
Rom4ik [11]

Answer:

15% of 300 is 45

6 0
3 years ago
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HELPPPP- you just got your driver's license. Your parents buy you a car and agree to let you pay them back over a period of 70 m
Nitella [24]

Using the monthly payments formula, it is found that a car with a value of at most $25,293.

<h3>What is the monthly payment formula?</h3>

It is given by:

A = P\frac{\frac{r}{12}\left(1 + \frac{r}{12}\right)^n}{\left(1 + \frac{r}{12}\right)^n - 1}

In which:

  • P is the initial amount.
  • r is the interest rate.
  • n is the number of payments.

In this problem, we have that the parameters are given as follows:

A = 400, n = 70, r = 0.035.

Hence:

r/12 = 0.035/12 = 0.002917.

Then we have to solve for P to find the maximum value of the car.

A = P\frac{\frac{r}{12}\left(1 + \frac{r}{12}\right)^n}{\left(1 + \frac{r}{12}\right)^n - 1}

400 = P\frac{0.002917(1.002917)^{70}}{(1.002917)^{70}-1}

P = \frac{400[(1.002917)^{70}-1]}{0.002917(1.002917)^{70}}

P = $25,293.

More can be learned about the monthly payments formula at brainly.com/question/26267630

#SPJ1

7 0
2 years ago
What is the surface area of this rectangular pyramid?
Alexxx [7]

Answer:

304m^2

Step-by-step explanation:

First find the surface area of the base by multiplying the length by the width.

(12m) (8m)= 96m^2

Second, find the surface area of the front and back triangles using the formula <em>1/2 (base) (height)</em>. Use the length for the base.

1/2 (12m) (10m)= 60m^2

Next, find the surface area of the side triangles using the formula <em>1/2 (base) (height). </em>Use the width as the base.

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Last, add the surface area of each section. Make sure you add the area of each face.(we only solved for 1 of the front/ back triangles and 1 of the side triangles) To make it easier to understand I wrote out an equation to show how I added the surface areas.

base=a, front/ back triangles= b, side triangles=c

SA= a + 2b +2c  or SA= a +b +b +c +c

Using one of the equations above solve for the total surface area.

SA= (96m^2) + (60m^2) +(60m^2) +(44m^2) +(44m^2)

or

SA= (96m^2) + 2(60m^2) +2(44m^2)

SA=  (96m^2) +(120m^2) +(88m^2)

SA= 304m^2

7 0
3 years ago
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