The function h(t)=400-16t^2 gives the height of the supply bundle (in feet) t seconds after it is dropped from a height of 400 feet.

a. Find the derivative of this function at the point (3,256).
b. What does your answer tell you about the speed at which the supply bundle is falling?

Answers

Answer 1

Answer:

i think its A i may be wrong

Answer 2

The answers are :

a) The derivative of this function at the point (3,256) is -96.

b) The speed at which the supply bundle is falling is negative.

What is derivative ?

Derivative is the slope of the graph of function or the slope of the tangent line at a point.

A function is given which is h(t) = 400 - 16t².

Here , h(t) gives the height of the supply bundle in feet , t seconds after it is dropped from a height of 400 feet.

a)

We have to find out the derivative of the given function at a point (3,256).

h'(t) = [tex]\frac{d}{dt}[/tex] (400 - 16t²)

h'(t) = 0 - 2 × 16 × t

h'(t) = -32 t

This function at (3,256) so , value of t is 3.

h'(t) = -32 × 3

h'(t) = -96

b)

Speed = -32 t

So , the speed at which the supply bundle is falling is negative. With increase in value of t it will keep decreasing.

Therefore , the answers are :

a) The derivative of this function at the point (3,256) is -96.

b) The speed at which the supply bundle is falling is negative.

Learn more about derivative here :

https://brainly.com/question/28527987

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True or False? "Fractions must have common denominators to be able to add or subtract them"

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Answer:

true

Step-by-step explanation:

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Answer:6,462.50

Step-by-step explanation:

D) Vivek is 30 years younger than his father. After 10 years their ages will be in the ratio 1:2. Find their present ages.​

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Answer:

I think Vivek is 20 and his father is 50

Because 30 + 30 equals 60 as he has to be half his age he'll be 30 but that's in 10 years time. you just subtract 30 and 60 by 10 and you'll get 20 and 50

Answer:

Vivek:20 years

Father:50 years

Step-by-step explanation:

Since it is a age question, their difference do not change, so

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Hope this helps! Thanks.

Over the interval [0, 2π), what are the solutions to sin(2x) = sin(x)? Check all that apply.

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Answers

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Step-by-step explanation:

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Step-by-step explanation:

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Answers

Answer:

Step-by-step explanation:

The general linear equation:

[tex]y = mx+b[/tex], m is slope, b is y-intercept

Plugging the points that satisfy the line:

[tex]3 = 9m + b[/tex]

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Subtracting the equations from each other:

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What is the solution of the equation below?
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Answers

Answer:

Not possible to work out

Step-by-step explanation:

NO Explanation can be explained as this question cannot be solved

There are a total of 448 students at Westover Middle school. A total of 3/8 of the students participate in after-school activities. Of those students, 1/3 do not get home until 7 pm. How many students participate in after-school activities and get home after 7 pm?

Answers

Answer:

56 students

Step-by-step explanation:

Given information:

• 448 students total

• [tex]\frac{3}{8}[/tex] of 448 participate in after-school activities

• [tex]\frac{1}{3}[/tex] of those [tex]\frac{3}{8}[/tex] get home after 7 pm

To find how many students is [tex]\frac{1}{3}[/tex] of those who participate in after-school activities, you first need to find the exact number of how many participate in after school activities:

The amount of students who participate in after-school activities is [tex]\frac{3}{8}[/tex] the total number of students. So, multiply 448 × [tex]\frac{3}{8}[/tex]:

448 × [tex]\frac{3}{8}[/tex]         Multiply.

[tex]\frac{1344}{8}[/tex]               Simplify into a whole number.

1344 ÷ 8       Divide.

168

[tex]\frac{3}{8}[/tex] of the total students is 168 students.

To find the amount of students that do not get home until after 7 pm, multiply 168 by [tex]\frac{1}{3}[/tex]:

168 × [tex]\frac{1}{3}[/tex]          Multiply.

[tex]\frac{168}{3}[/tex]                 Simplify into a whole number.

168 ÷ 3         Divide.

56

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Answer:

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Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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Find equations of the tangent lines to the curve
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Answer:

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Step-by-step explanation:

GO to desmos com  scientific

Answer: 0.4761904762 or 10/21

Step-by-step explanation: Set up the problem so that 2/7 is divided by 3/5. This gives you [tex]\frac{2}{7}/\frac{3}{5}[/tex]. Next, cross multiply to find the numerator and the denominator. So 2 x 5 = 10 and 7 x 3 = 21. This gives you 21/10. Now switch the numerator and the denominator so that they are each in the right place. This gives you 10/21. In order to find the decimal, divide the numerator by the denominator to get the decimal. This gives you the answer 0.4761904762 or ≈ 0.48

Show work:

[tex]\frac{2}{7}/\frac{3}{5}[/tex]

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Answers

Answer:

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Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

[tex]First \: we \: will \: find \: x \: value[/tex]

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Answers

Answer:

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

101.3-99.6= 1.7

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A box is 15 x 20 inches. In the box there are cut out squares of the same size from each corner. Mark the side of the cut-out square by x. write an expression of the length of the box.

Answers

Answer:

İt is solved by using derivative

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But

Answer is not rational

Answer:

A = 300-x^2 for area

A = 20L * 15 -x^2   for area

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SIMPLIFIED

L - x = 300/20 -  ( x^2 )/ 15 - x

Step-by-step explanation:

Length = L = 20 inches.

Area of one side = A = 15 X 20 = 300 cm^2

= 300 - x^2  

This means the missing corner square is also squared

Simplifies to sqrt 300 - x

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