Mathematics High School

An eagle takes off from the top of a cliff that is 125 meters high and flies upward. After t seconds, the height at which the eagle is flying is given by the equation h(t) = 125 + 1.25t2 where t is in seconds. Find the instantaneous velocity of the eagle at t = 3 seconds. Round your answer to one decimal place.

Answers

Answer 1

Answer:

The instantaneous velocity of the eagle at the given time is  7.5 m/s.

Step-by-step explanation:

Given;

height of the cliff, h = 125 m

the height at which the eagle is flying, h(t) = 125 + 1.25t²

The velocity of the eagle is given by;

v = dh/dt

v = 2.5t

The instantaneous velocity of the eagle at t = 3 seconds is given by;

v = 2.5(3)

v = 7.5 m/s

Theerefore, the instantaneous velocity of the eagle at t = 3 seconds is  7.5 m/s.

Related Questions

5h=srt solve for t please help

Answers

Answer:

t=t

Step-by-step explanation:

we need h

In a sequence of numbers, a3=0, a4=4, a5=8, a6=12, and a7=16. Based on this information, which equation can be used to find the nth term in the sequence, an?

an=4n−12
A sub n is equal to 4 n minus 12

an=−12n+4
A sub n is equal to negative 12 n plus 4

an=−4n+12
A sub n is equal to negative 4 n plus 12,

an=12n−4

Answers

Answer:

an=−4n+12

A sub n is equal to negative 4 n plus 12,

Step-by-step explanation:

Help pls I need help

Answers

Answer:

3 3/7

Step-by-step explanation:

8/1 divided by 2 1/3 = 8/1 x 3/7

8/1 x 3/7 = 24/7

24/7 = 3 3/7

do you guys know this by any chance

Answers

Answer:

[tex]10^{17}[/tex]

Step-by-step explanation:

Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the

10

10

. If the decimal is being moved to the right, the exponent will be negative. If the decimal is being moved to the left, the exponent will be positive.

HELP!!! What is 0.8% as a decimal and fraction?

Answers

Decimal: 0.8

Fraction: 4/5
8/10 is the answer your looking for

On the coordinate plane shown below, points and have coordinates and , respectively. Design a strategy in which the Pythagorean theorem is used to calculate the straight line distance between points and on a coordinate plane. Use complete sentences to describe the strategy. Use the Pythagorean theorem to determine the distance between the two points on the coordinate plane. In your final answer, include all of your calculations. Use the distance formula and the coordinates of points and to prove that the Pythagorean theorem is an alternative method for calculating the distance between points on a coordinate plane. In your final answer, include all of your calculations.

Answers

Answer:

See explanation

Step-by-step explanation:

The question is incomplete because the image is missing. However, I have attached an image from Lumen learning to help you understand how to calculate the difference between two points on a straight line graph.

Given two points (x1,y1) and (x2,y2) on a straight line graph as shown in the image attached, a straight line drawn to join the two points gives the distance between the two points. This line drawn to join the points becomes the hypotenuse of a triangle ABC.

Given that;

(x2-x1) =a

(y2-y1)=b

distance =c

Recall that Pythagoras's theorem states that;

[tex]c= \sqrt{a^{2} + b^{2} }[/tex]

Then, according to Pythagoras's theorem;

c =√(x2-x1)2 + (y2-y1)2)

Simply put;

c=√(difference between abscissae)2 - (difference between ordinates)2

You can now substitute values and obtain a numerical result.

2(x-5)=4(x+1)
Please solve for x

Answers

Answer:

-7

Step-by-step explanation:

-7-5=-12

-12×2=-24

-7+1=-6

-6×4=-24

-24=-24

Answer:

x = -7

Step-by-step explanation:

2(x - 5) = 4(x + 1)

Multiply the parenthesis by the outside numbers (simplify).

2x - 10 = 4x + 4

Combine like terms (add 20 to both sides, and subtract 2x).

0 = 2x + 14

Subtract 14 from both sides of the equation.

2x = - 14

Divide both sides of the equation by 2.

x = -7

Hope this helps, let me know if you have any questions :)

Just the picture, Geometry. Thanks.

Answers

There are three. 1,4,8
Option (a) Angle 1

Angle 1 is congruent to ∠5 as they are corresponding angles on a transversal .

Option (d) Angle 4

Angle 4 is congruent to ∠5 as they are alternate interior angles .



John already owes $13; but is still spending $9 every 4 days. Identify
the slope (m) for this scenario

Answers

Y=9(4)+13 (not for sure though)

Simplify the algebraic expression 9xy_4xy

Answers

Answer:

13xy

Step-by-step explanation:

9xy+4xy=13xy

You only have one set of variables when there is two sets of variables then you can not add all variables together.

you cant do 13x + 5y because the answer wold stay 13x 5y

Chris ate a total of 100 peanuts in 4 days, each day eating 8 more peanuts than the day before. How many peanuts did he eat on the first day

Answers

Answer:

He ate 68 peanuts on his first day

Step-by-step explanation:

To find the answer, you can just multiply 4 times 8 which would give the total amounts of peanuts Chris ate in 4 days. And subtract 100-32 which would equal 68.

the points on the table lie on a line FInd the slope of the line (x- (-2), 0, 2, 4) (y- 3,4,5,6)

Answers

Answer:

Slope= 1/2

Step-by-step explanation:

The slope of the given line is 0.5.

What is the slope of the line?

The slope of a line is defined as the angle of the line. It is denoted by m

Slope m = (y₂ - y₁)/(x₂ -x₁ )

The points on the table lie on a line, as follows;

x: (-2), 0, 2, 4

y: 3,4,5,6

To determine the slope of a line, you can use the formula:

(change in y)/(change in x)

As per the points in the table,

the change in x is (4-(-2)) = 6, and the change in y is (6-3) = 3.

Slope =  (3)/(6)

Slope = 1/2

Apply the division operation, and we get

Slope = 0.5

Therefore, the slope of the line is 0.5.

Learn more about the Slope of the Line here:

brainly.com/question/14511992

#SPJ2

−184 is the product of 23 and p.

Answers

I believe the correct answer would be -203

Answer:

p= -8

Step-by-step explanation:

23 x p= -184

-184 divided by 23= -8

23 x -8= -184

Find the slope of the line that passes through the points (5,10) and (7,12).

Answers

Answer:

The slope of the line is 1. The equation of the line is 1x + 5.

Step-by-step explanation:

The process is simple. It is y2 - y1 over x2 - x1. Plug in the value of the coordinates to get 12 - 10 over 7 - 5. That leaves you with 2 over 2, which is 1. If you need the equation, it is 1x + 5. Plug in the value of the coordinates to check your work.

A tennis racket that normally sells for $80 now
sells for $64. In lowest terms, what fraction
represents the former price compared to the
current price?
A. 3/4
B. 4/5
C. 6/5
D. 5/4

Answers

A it went from 80 to 64 if you multiply 80 by 75% aka 3/5 you get 60 which is the closest answer

Look at image please help I’m struggling 4 more minutes for the test is over

Answers

up 3 over 4 (4/3) all u do is count point to point

What is -2(x - 5)- 11 in simplest form?

Answers

It would be -2x-1 if u need steps comment

Answer:

-2x - 1

Step-by-step explanation:

-2(x-5)-11

We need to follow order of operations to simplify this expression. Order of operations is PEMDAS (Parentheses, exponents, multiplication, division, addition, subtraction)

-2(x-5)-11

-2x + 10 - 11

-2x - 1

Can someone please help me I need help

Answers

Answer:

8 in

Step-by-step explanation:

Step 1: Define

A = 56

b = 7

A = bh

Step 2: Find h

h = A/b

h = 56/7

h = 8

Answer:

h= 8 inches

Step-by-step explanation:

A= bh;  b= 7 inches;    Area= 56 inches squared

56= 7h

56/7 = 7h/7

h= 8 inches

hope this helps!

Solve for m: 2m + 5-3m = 7

Answers

Answer:

m=-2

Step-by-step explanation:

Answer: m = -2

Step-by-step explanation:

Simplify 2m + 5 - 3m  to -m+ 5

-m + 5 = 7

Regroup terms.

5 - m = 7

Subtract 5 from both sides.

-m = 7 - 5

Simplify 7 - 5 to 2

-m = 2

Multiply both sides by -1

m = -2

I need help with this question.

Answers

Answer:

its the 4th one

Step-by-step explanation:

x<-70

Triangle ABC is rotated to form triangle MNO. Which of these statements would prove that the two triangles are congruent?

Answers

Answer:A

Step-by-step explanation:

Simplify -16 -22+ 22) A. -16 B. 39 C. 16 D.38 Help me PLZZZZZZ ;(

Answers

Answer:

A

Step-by-step explanation:

-22+22=0

-16

Answer: A

-16 is the answer

Plz mark brainliest:)

Please help me with the question! Please!!

Answers

Answer:

Slope is 3 and y-intercept is 2

Step-by-step explanation:

When you do slope formula, you get 3 and on the table it says (0, 2) which is the y-intercept

Find the perimeter of the given figure.​

Answers

I think the answer is 24

In the equation ax + 6 = 15 , a is a negative integer. What is true about x?

Answers

If multiplied by a it would be a negative product

I REALLY REALLY NEED HELP

Answers

Answer:

answer all?

Step-by-step explanation:

Answer:

1- SF: 2; X:7

2- SF:2.5; X:10.5

3- SF:1.5; X:7.5

4- SF:3; X:9.4

Step-by-step explanation:

Help please it's a simple question I think but answer it please ​

Answers

Answer:

D. 36

Step-by-step explanation:

because to find volume we should multiply all the side

Answer:

d.36in    

Step-by-step explanation:

Which one of these shapes is not like the others?

Shape A
Shape B
Shape C

Answers

It is c because b is an enlarged version of a

Answer: C is more oval like than the others

Step-by-step explanation:

Solve each equation for x.
8. d= f+ fx

Answers

Answer:

(d/f)-1=x

Step-by-step explanation:

d=f+fx

d-f=fx

(d-f)/f=x

(d/f)-1=x

It took a sports store 9 weeks to sell 90 soccer
balls. How many are sold per week?

Answers

Answer:

it would be 10 soccer balls

Step-by-step explanation:

10 every week if it was constant (because they could've sold more one week then less the next) but the genuine answer is 10 soccer balls :)

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