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Marizza181 [45]

3 years ago

12

The Lions did not score fewer points than the Bears. The Lions scored fewer points than the Tigers but more points than the Dolp

hins. The Dolphins scored fewer points than the Bears. Which team scored the fewest points?

1 answer:

vivado [14]3 years ago

5 0

The answer is the Dolphins

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A 5 foot tall person walks away from a 12 foot tall lamppost at a constant rate of 4 feet per second. What is the rate that the

erastovalidia [21]

Solution :

Given :

The height of the person is 5 foot.

The height of the lamppost is 12 foot.

Speed of the person away from the lamppost = 4 ft/s

Let the distance of the tip of the shadow of the perosn to the pole at t seconds after the person started walking away from the pole be d(t).

By similarity of the triangles, we see that

$\frac{12}{d}=\frac{5}{x}$ .................(i)

Here x is the distance from the person to the tip of the shadow. As it is given the speed of the person is 4 ft/s, then the distance of the person from the pole 4t. So we have,

x = d - 4t .............(ii)

Putting (ii) in (i) and solving for d is

d(t) = 6.85 t

So now if we derive d(t), we will get the wanted rate of the tip of the shadow.

∴ d'(t) = 6.85 ft/s

4 0

3 years ago

I NEED HELP PLS IM ABOUT TO FAIL THIS TEST

Anvisha [2.4K]

Answer:

2y

Step-by-step explanation:

gvt vvg gbunibnuj

5 0

3 years ago

Read 2 more answers

For the given position vectors r(t) compute the unit tangent vector T(t) for the given value of t .

algol13

Answer:

a) $T(t) = \frac{}{5}=$

$T(4) =$

b) $T(t) = \frac{}{8\sqrt{37}}$

$T(4) =$

c) $T(t) = \frac{}{2425825977}$

$T(4) = \frac{1}{2425825977}$

Step-by-step explanation:

The tangent vector is defined as:

$T(t) = \frac{r'(t)}{|r'(t)|}$

Part a

For this case we have the following function given:

$r(t) =$

The derivate is given by:

$r'(t) =$

The magnitude for the derivate is given by:

$|r'(t)| = \sqrt{25 sin^2(5t) +25 cos^2 (5t)}= 5\sqrt{cos^2 (5t) + sin^2 (5t)} =5$

And then the tangent vector for this case would be:

$T(t) = \frac{}{5}=$

And for the case when t=4 we got:

$T(4) =$

Part b

For this case we have the following function given:

$r(t) =$

The derivate is given by:

$r'(t) =$

The magnitude for the derivate is given by:

$|r'(t)| = \sqrt{4t^2 +9t^4}= t\sqrt{4 + 9t^2}$

$|r'(4)| = \sqrt{4(4)^2 +9(4)^4}= 4\sqrt{4 + 9(4)^2} = 4\sqrt{148}= 8\sqrt{37}$

And then the tangent vector for this case would be:

$T(t) = \frac{}{8\sqrt{37}}$

And for the case when t=4 we got:

$T(4) =$

Part c

For this case we have the following function given:

$r(t) =$

The derivate is given by:

$r'(t) =$

The magnitude for the derivate is given by:

$|r'(t)| = \sqrt{25e^{10t} +16e^{-8t} +1}$

$|r'(t)| = \sqrt{25e^{10*4} +16e^{-8*4} +1} =2425825977$

And then the tangent vector for this case would be:

$T(t) = \frac{}{2425825977}$

And for the case when t=4 we got:

$T(4) = \frac{1}{2425825977}$

5 0

3 years ago

Hello someone please help me !!

Bezzdna [24]

Answer:

A

Step-by-step explanation:

because values of y increase from negative 2 to negative 1

8 0

3 years ago

Read 2 more answers

Mrs Rodruiguez is measuring fabric for costumes for the shcool play. She needs 58 feet of fabric. She has 10 1/3 yards of fabric

lakkis [162]

Answer:

47.66666667

Step-by-step explanation:

58- 10 1/3= 47.66666667

8 0

2 years ago