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OLEGan [10]
3 years ago
12

The first play of a football game resulted in a loss of 12 1/2 yards then a penalty resulted in another loss of 5 yards what is

the total loss or gain
Mathematics
1 answer:
Andreyy893 years ago
4 0
12 1/2 + 5 = positive loss/negative gain.
Loss of 17 1/2
Gain of -17 1/2
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An object moves along a coordinate axis so that its position at time t is given by s(t)=t3. Estimate its instantaneous velocity
Mademuasel [1]

If the position at time <em>t</em> is

<em>s(t)</em> = (1 m/s³) <em>t</em> ³

then the average velocity over <em>t</em> = 2 s and <em>t</em> = 2.001 s is

<em>v</em> (ave) = (<em>s</em> (2.001 s) - <em>s</em> (2 s)) / (2.001 s - 2 s)

<em>v</em> (ave) = ((1 m/s³) (2.001 s)³ - (1 m/s³) (2 s)³) / (2.001 s - 2 s)

<em>v</em> (ave) ≈ (8.01201 m - 8 m) / (0.001 s)

<em>v</em> (ave) ≈ 12.006 m/s

6 0
2 years ago
Evaluate. 9 1/2<br><br> 3<br><br> 4.5<br><br> 9<br><br> 81
Sav [38]
The answer to this question is (9.5)...

There is no option saying 9.5?
4 0
3 years ago
Read 2 more answers
Niki makes the same payment every two months to pay off his $61,600 loan. The loan has an interest rate of 9. 84%, compounded ev
elena-14-01-66 [18.8K]

Niki pays $39,467 interest will he have paid in total.

Given that,

Niki makes the same payment every two months to pay off his $61,600 loan.

The loan has an interest rate of 9.84%, compounded every two months.

If Niki pays off his loan after exactly eleven years.

We have to determine,

How much interest will he have paid in total?

According to the question,

The total interest will be paid is determined by,

\rm PV = \dfrac{P\left(1 - (1 + \dfrac{r}{t})^{-nt}\right) }{ \dfrac{r}{t}}

Where, PV = $61,600,  r = interest rate = 9.84% = 0.0984;

t = number of payments in a year = 6; n = number of years = 11 years and P is the periodic payment.

Substitute all the values in the formula;

\rm PV = \dfrac{P\left(1 - (1 + \dfrac{r}{t})^{-nt}\right) }{ \dfrac{r}{t}}\\\\\rm 61600 = \dfrac{P\left(1 - (1 + \dfrac{0.0984}{6})^{-11 \times 6}\right) }{ \dfrac{0.0986}{6}}\\\\61600 = \dfrac{P\left(1 - (1 + {0.0164})\right^{-66} }{0.0164}\\\\61600 = \dfrac{P\left(1 - (1.01640))^{-66}}{0.0164}\\\\ 61600 \times 0.0164 = P (1-0.341769)\\\\1010.24 = 0.658231P\\\\P = \dfrac{1010.24}{0.6582}\\\\P = 1534.78

Therefore,

Niki pays $1,534.78 every two months for eleven years,

The total payment made by Niki = 11 x 6 x 1,534.78 = $101,295.48

Therefore, interest paid by Niki = $101,295.48 - $61,600 = $39,695.48.

Hence, Niki pays $39,467 interest will he have paid in total.

For more details about Interest rates refer to the link given below.

brainly.com/question/10302432

6 0
2 years ago
An 11-m tall building casts a shadow. The distance from the top of the building to the tip of the shadow is 14 m. Find the lengt
Arte-miy333 [17]

Answer:

8.66 m

Step-by-step explanation:

Given that,

The distance from the top of the building to the tip of the shadow is 14 m

The height of the building is 11 m.

We need to find the length of the shadow. we can see that the length of the shadow forms the base of the triangle.

The distance from the top of the building to the tip of the shadow form hypotensue and height of the building forms perpendicular. So, we can use Pythagoras theorem to find the base.

So,

H^2=b^2+h^2\\\\b^2=H^2-h^2\\\\b=\sqrt{14^{2}-11^{2}}\\\\b=8.66\ m

So, the length of the shadow is 8.66 m.

7 0
3 years ago
Rectangle Q has an area of two square units. Thea drew a scaled version of rectangle Q and labeled it rectangle R. what scale fa
belka [17]

Answer:

It is given that Rectangle Q has an area of 2 square units.

Thea Drew a scaled version of Rectangle Q and marked it as R.

As you must keep in mind If we draw scaled copy of pre-image, then the two images i.e Pre-image and Image are similar.

As you have not written what is the scale factor of transformation

Suppose , Let the Scale factor of transformation= k

Rectangle Q = Pre -image, Rectangle R= Image

If, Pre-Image < Image , then scale factor is k >1.

But If, Pre-Image > Image , then Scale factor will be i.e lies between, 0<k<1.



3 0
3 years ago
Read 2 more answers
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