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Bingel [31]
2 years ago
5

Two skateboarders start a race at the same time skateboarder A travels at a steady rate of 15 feet per second skateboarder B tra

vels at a steady rate of 22 feet per second after 4 minutes how much farther will skateboarder B have traveled?
Mathematics
1 answer:
Dmitriy789 [7]2 years ago
7 0

Answer:

Step-by-step explanation:

Relative speed can play a major role in creating distance between two bodies. If the relative speed between two bodies is 0, then both the bodies are moving in the same direction with a similar speed. Thus, After 4 minutes, 1680 feet farther will Skateboarder B have traveled.

Skateboarder A travels at a steady rate of 15 feet per second.

Skateboarder B travels at a steady rate of 22 feet per second.

We need to determine that after 4 minutes, how much farther will Skateboarder B have traveled.

The formula for finding the distance travelled by anybody is represented below

Time is given that is 4 minutes which means 240 seconds.

Thus,

Distance travelled by skateboarder A

Distance travelled by skateboarder B.

Therefore, the separation of the distance between both the skateboarders is 5280 - 3600 = 1680.

Thus, After 4 minutes, 1680 feet farther will Skateboarder B have traveled.

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The formula Upper A equals 23.1 e Superscript 0.0152 tA=23.1e0.0152t models the population of a US​ state, A, in​ millions, t ye
Wewaii [24]

Answer:

a) A(t=0)= 23.1 e^{0.0152(0)}=23.1e^0 =23.1

b) t = \frac{ln(\frac{28.3}{23.1})}{0.0152}=13.357 years

So for this case the answer would be 13.347 years, the population will be 28.3 million and ye year would be 2000+13.347 and that would be approximately in 2014

Step-by-step explanation:

For this case we assume the following model:

A(t)= 23.1 e^{0.0152 t}

Where t is the number of years after 2000/

Part a

For this case we want the population for 2000 and on this case the value of t=0 since we have 0 years after 2000. If we rpelace into the model we got:

A(t=0)= 23.1 e^{0.0152(0)}=23.1e^0 =23.1

So then the initial population at year 2000 is 23.1 million of people.

Part b

For this case we want to find the time t whn the population is 28.3 million.

So we need to solve this equation:

28.3= 23.1 e^{0.0152(t)}

We can divide both sides by 23.1 and we got:

\frac{28.3}{23.1}= e^{0.0152t}

Now we can apply natural log on both sides and we got:

ln(\frac{28.3}{23.1})= 0.0152 t

And then for t we got:

t = \frac{ln(\frac{28.3}{23.1})}{0.0152}=13.357 years

So for this case the answer would be 13.347 years, the population will be 28.3 million and ye year would be 2000+13.347 and that would be approximately in 2014

3 0
3 years ago
Last year, a French restaurant used 792,800 ounces of cream. This year, due to a menu
ser-zykov [4K]
The correct answer is a 15% decrease. Explanation (792,800 - 673,880) / 792,800
8 0
3 years ago
If you walk forward 5 feet and then walk backward 5 feet, you will end up exactly where you started. For each of the actions bel
crimeas [40]

Answer:

Step-by-step explanation:

A.  Walk down 10 steps

B.   Cool down 10 degrees

C.  Travel north 10 km

D.  Spend 6 dollars

F.  Run forward 9 steps

7 0
3 years ago
Andrew is buying three different colors of tiles for his kitchen floor. he is buying 50 more purple tiles than black tiles, and
lorasvet [3.4K]
- Key -

Black tiles = x
Purple tiles = x+50
Yellow tiles = 5x

-

Total = x + x+50 + 5x = 400
⇒ 7x + 50 = 400
⇒ 7x = 400-50 = 350
⇒ x = 350/7
⇒ x = 50

Black tiles = 50
Purple tiles = 50+50 = 100
Yellow tiles = 5 x 50 = 250
4 0
3 years ago
Cot^2x csc^2x + 2 csc^2x –cot^2 = 2
kow [346]

Answer:

x = π/2 + πk

Step-by-step explanation:

cot² x csc² x + 2 csc² x − cot² x = 2

Multiply both sides by sin² x:

cot² x + 2 − cos² x = 2 sin² x

Add cos² x to both sides:

cot² x + 2 = 2 sin² x + cos² x

Pythagorean identity:

cot² x + 2 = sin² x + 1

Subtract 1 from both sides:

cot² x + 1 = sin² x

Pythagorean identity:

csc² x = sin² x

Multiply both sides by sin² x:

1 = sin⁴ x

Take the fourth root:

sin x = ±1

Solve for x:

x = π/2 + 2πk, 3π/2 + 2πk

Which simplifies to:

x = π/2 + πk

4 0
3 years ago
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