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Ipatiy [6.2K]
3 years ago
13

If x=at^3 and y=bt^2 then find dy/dx

Mathematics
1 answer:
Molodets [167]3 years ago
8 0
Dy/dx = (dy/dt) / (dx/dt)

dy/dt = 2bt

dx/dt = 3at^2

therefore dy/dx = 2bt/3at^2
              dy/dx = 2b/3at
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A 25-year old woman burns 200−20t cal/hr while walking on her treadmill. Her caloric intake from drinking Gatorade is 110t calor
marin [14]

The net decrease in calories after walking for 5 hours is 50 calorie.

According to the statement

we have given that the

A 25-year old woman burns 200−20t cal/hr and Her caloric intake from drinking Gatorade is 110t calories during the t hour.

And we have to find the net decrease in calories after walking for 5 hours.

So, For this purpose,

We know that the

calories burns in one hour = 200−20t

calories burns in 5 hours = 5(200−20t)

calories burns in 5 hours = 1000 - 100t

Now,

Calorie intake in t hours = 110t

And

net decrease in calories after walking for 5 hours =  100t - 1000 + 110t

put t is 5 then

net decrease in calories after walking for 5 hours = 210(5) - 1000

net decrease is 50 cal.

So, The net decrease in calories after walking for 5 hours is 50 calorie.

Learn more about calorie here

brainly.com/question/11460467

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3 0
2 years ago
Joe drove 538 miles in 9 hours 15 minutes what was his average speed per hour
DanielleElmas [232]
To calculate any speed, the equation is speed=distance/time
Basically, you first need to take your 9 hours and 15 minutes and combine them into a number with a decimal value.
So, 15*4=60
Sound familiar? Good, because 25*4=100, so they are the same here.
So, we can say 9 hours and 15 minutes is equal to 9.25
Take this now: Speed=538/9.25
You get 58.1621, which you can round to 58.2
This is, of course, your final answer, so Joe drove at 58.16 mph
7 0
3 years ago
The rule for subtracting integers can be used to subtract whole numbers. explain why.
a_sh-v [17]

The difference between whole numbers and integers is that whole numbers do not include negative numbers, whereas integers do. Therefore, the same rule used by integers can be used with whole numbers, so long as negative numbers are not used.

6 0
3 years ago
Please help me with this.​
balandron [24]

Answer:

d)  sin(45°) = 13/x

Step-by-step explanation:

Trig ratios:

sin(x) = O/H

cos(x) = A/H

tan(x) = O/A

where x is the angle, O = opposite side to angle, A = adjacent side to angle, and H = hypotenuse

From inspection, we have been given the measure of the side OPPOSITE to the angle and the measure of the HYPOTENUSE.

angle = 45°

opposite side = 13

hypotenuse = x

Therefore, substitute these values into the sine trig ratio:

⇒ sin(x) = O/H

⇒ sin(45°) = 13/x

6 0
2 years ago
Read 2 more answers
Please help me !!<br><br><br> simplify the following answer :
Roman55 [17]

78

x=-3. Plug -3 into x

6(2(-3^{2} )-5)=?

We will follow PEMDAS for this.

-3²=9. A negative multiplied by a negative always equals a positive.

9×2=18

18-5=13

13×6=78

PEMDAS is Parentheses Exponents Multiplication Division Addition Subtraction. You will hear of  it as Please Excuse My Dear Aunt Sally to begin with.

5 0
3 years ago
Read 2 more answers
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