The elevator of a building is currently 10 feet above ground level on the first floor. The building's elevator rises at a rate of 5 feet per second. You enter the elevator on the first floor. Let t, represent the number of seconds you are in the elevator and h(t) represent the height of the elevator (in feet). Write an equation for h(t) b. What will your height be in 12 seconds? c. What does h(5) = 35 represent?

Answers

Answer 1

Answer:

[tex]h(t) = 10 + 5t[/tex]

70 feet

Your height in 5 seconds is 35 feet

Step-by-step explanation:

From the question, we understand that:

[tex]Initial\ Height = 10[/tex]

[tex]Rate = 5[/tex] per second

Solving (a): Equation for h(t)

This implies that the height at t seconds and is calculated as thus:

[tex]h(t) = Initial\ Height + Rate * t[/tex]

Where t represents seconds

Substitute values for Initial Height and Rate

[tex]h(t) = 10 + 5* t[/tex]

[tex]h(t) = 10 + 5t[/tex]

Solving (b): Height in 12 seconds

This implies that:

[tex]t = 12[/tex]

Substitute 12 for t in [tex]h(t) = 10 + 5t[/tex]

[tex]h(12) = 10 + 5 * 12[/tex]

[tex]h(12) = 10 + 60[/tex]

[tex]h(12) = 70[/tex]

Hence, your height will be 70 feet

Solving (c): h(5) = 35 means?

Using the illustration in (b) above;

This means that your height in 5 seconds is 35 feet


Related Questions

Events A and B are disjointed. P(A) = 3/10; P(B) =2/5 . Find P(A or B). 1/3 7/10 1/10 9/10

Answers

Answer:

7/10

Step-by-step explanation:

Given

P(A) = 3/10P(B) = 2/5

To find

P(A or B)

Solution

P(A or B) = P(A) + P(B)P(A or B) = 3/10 + 2/5 = 3/10 + 4/10 = 7/10

Answer:

7/10

Step-by-step explanation:

^

Al sumar su doble, su mitad y 15 se obtiene 99.

Answers

Answer:x = numero

2x= doble

x/2= mitad

sumamos todo : x+2x+x/2+15=99

7x/2= 99-15

7x= 84(2)

x=168/7

x=24

comprueba sumando 24+48+12+15=99 suerte!!!

Step-by-step explanation:

The value of the unknown number is 33.6

Let the unknown number be "x"

The half of the number is 0.5x

Double of the number is expressed as 2x

Adding this functions together and 15 and equating to 99 will give;

0.5x + 2x + 15 =99

Solve for x

2.5x = 99 - 15

2.5x  = 84

x = 84/2.5

x = 33.6

Hence the value of the unknown number is 33.6

Learn more here: https://brainly.com/question/16510024

in math class , the girl to boy ratio is 8 to 6 . If there are 24 girls in the class , how many boys are there

Answers

Answer:

22 boys are in the class

Answer:

18 boys

Step-by-step explanation:

Girls: 24

Boys: ?

Ratio: 8:6

24 divided by three is 8

So 6 x 3 is 18

plz consider giving me brainliest =)

PLEASE HELP ILL MARK BRAINLIEST

Answers

Answer:

A, C, D, and E

Step-by-step explanation:

According to following triangle, the choices that explains that [tex]\triangle DBC[/tex] is isosceles, are:

-[tex]\overline {AB}[/tex] is an angle bisector of [tex]DAC[/tex]. (Choice A)

-[tex]\angle BDC[/tex] is congruent to [tex]\angle BCD[/tex]. (Choice C)

-[tex]\angle ABD[/tex] is congruent to [tex]\angle ABC[/tex]. (Choice D)

[tex]\angle DAB[/tex] is congruent to [tex]\angle CAB[/tex] (Choice E)

I worked on the project until it was completed.

Identify the subordinate clause in the complex sentence.

I worked on the project
on the project
it was completed
until it was completed

Answers

The subordinate clause would be “until is was completed”

Answer:

until is was completed

Step-by-step explanation:

d on edgnuity

can anyone help me please heheh

Answers

I think it should be 3

Answer:

sqrt160

Step-by-step explanation:

I really need the help?

Answers

Answer:

a=c because opposite vertices are always equal to one another

Step-by-step explanation:

A rocket is launched from a tower. The height of the rocket, y in feet, is related to the time after launch, x in seconds, by the given equation. Using this equation, find out the time at which the rocket will reach its max, to the nearest 100th of a second.
y=-16x^2+174x+78
can some help me actually and not just take advantage of the points i will give brainlest

Answers

Heres the link that theres the same question so you can look at it :D

https://brainly.com/question/13983607

Hope this helps :D

can Someone help me ​

Answers

Answer:

I believe that the answer is x < -10

Step-by-step explanation:

I plugged in -10 into the equation and it was right.

What would be the slope for a line perpendicular to y = -¼x + 2?

Answers

Answer:

m perpendicular= [tex]-\frac{1}{notlinear}[/tex]

Step-by-step explanation:

So here we have an equation with a negative slope. And it wants us to find the perpendicular slope

So if our slope is negative, the slope perpendicular to that would be the positive reciprocal.

Let m= -A/B so the slope perpendicular to that would be B/A

Here our slope is -1/4 so the slope perpendicular to that would be -(-4/1) which is just 4

Therefore your perpendicular slope would be 4

 In a survey of 1,800 people who owned a certain type of​ car, 990 said they would buy that type of car again. What percent of the people surveyed were satisfied with the​ car?

Answers

Answer:

55%

Step-by-step explanation:

Find the difference between 8/10 and -2 Show all calculations in your final answer.

Answers

=2 4/5

8/10+2

2+8/10=2 8/10

4/5- -2/1

(4x1)-(-2x5) divided by 5x1

=4- -10 divided by 5

=14/5

=2 4/5

A student finds the slope of the line between (14, 1) and (18, 17). She writes . What mistake did she make? She mixed up the x- and y-values. She used y-values where she should have used x-values. She did not keep the order of the points the same in the numerator and the denominator. She should have added the values, not subtracted them.

Answers

Answer:

She did not keep the order of the points the same in the numerator and the denominator.

Step-by-step explanation:

Where do I place each of them?

Answers

Answer: in their slots right below them

Step-by-step explanation:

HURRY I NEED HELP: Write an equation in point-slope form of the line that passes through the point (3, 5) and has a slope of m=−1.

Answers

Answer:

[tex] \huge y - 5 = - 1(x - 3) \\ [/tex]

Step-by-step explanation:

To find an equation of a line in point slope form when given the slope and a point we use the formula

[tex]y - y_1 = m(x - x_1)[/tex]

From the question we have the final answer as

[tex]y - 5 = - 1(x - 3)[/tex]

Hope this helps you

Which equation has no solution?

Answers

Answer:

C.

Step-by-step explanation:

C.

5/8x + 25 = 3/8x + 15 + 1/4x5/8x + 10 = 3/8x + 2/8x5/8x + 10 = 5/8x10 = 0

Can someone please solve this before I get my phone taken away?

Answers

Answer:

option 1 or should be

Step-by-step explanation:

4/1.5 is 2.6 and 2/3 as a fraction is 66666 so yeah

David kicks a ball off the ground. After t seconds, it’s height, h (in feet), is given by the formula h=-16t^2+80t. How many seconds does the ball reach its maximum height? What is the maximum height reached by the ball?

Answers

Answer:

The ball reaches its maximum height at 2.5 seconds

The maximum height is 100 feet

Step-by-step explanation:

Maximum Value of Functions

We use the derivative of a function to find its maximum or minimum value over a given interval.

Given a function y=f(x), the first derivative criterion establishes if x=a is such that:

f'(a)=0, and f''(a) < 0 then x=a is a maximum of f.

The height h in feet of a ball after t seconds is:

[tex]h(t)=-16t^2+80t[/tex]

Find the first derivative:

[tex]h'(t)=-32t+80[/tex]

Equate to 0:

[tex]-32t+80=0[/tex]

Subtract 80:

[tex]-32t=-80[/tex]

Divide by -32:

[tex]t = -80 / (-32) = 2.5[/tex]

t=2.5 seconds

Find the second derivative:

h''(t)=-32

Since h''(t) is always negative, then

The ball reaches its maximum height at 2.5 seconds

To find the value of the maximum height, substitute t=2.5 into the function:

[tex]h(2.5)=-16(2.5)^2+80*2.5=-100+200 = 100[/tex]

The maximum height is 100 feet

The bar graph shows the differences in a city’s rainfall from the historical average. Find the sum of the differences for the year. Write your answer as a decimal.

Answers

Answer:

The total amount of rainfall for the year is negative, -1.73

Step-by-step explanation:

-0.45   +   -0.88   +   0.94   +   -1.67   +   -0.96   +   0.83   +   2.36   +   1.39   +   0.35   +   -1.35   +   -0.9   +   -1.39 = -1.73

A 5 inch × 7 inch photograph is placed inside a picture frame. Both the length and width of the frame are 2x inches larger than the width and length of the photograph. Which expression represents the perimeter of the frame?

Answers

Answer:

4x+12

Step-by-step explanation:

A 5 inch × 7 inch photograph is placed inside a picture frame. Both the length and width of the frame are 2x inches larger than the width and length of the photograph. Which expression represents the perimeter of the frame?

(5+2x)+(7+2x)

The perimeter would be 4x+12

Hope I helped!

Please mark Brainliest!!!

Answer:

The answer is A. 4x+12

Step-by-step explanation:

Just took the test on edge 2020 :D

what is the answer to this equation below?
x +x = x

what is x?

Answers

Answer:

x=0

Step-by-step explanation:

x+x-x=x-x

Answer:

x=0...........................................

Use to isolate the variable

Answers

Answer:

reciprocals

Step-by-step explanation:

HAVE A GOOD DAY AND BE SAFE WIT THIS RONA

A. - 2y + 1 = y - 5
B. 2(6-2y)= 4y - 8
C. 8x+10y=12

Answers

Answer:

no idea, just doing this for points!

Step-by-step explanation:

Is x greater than less than or equal to 79 degrees?

Answers

Answer:

Step-by-step explanation:

it depends on the number X is.

Determine whether the ordered pair (-5,36) is a solution to the equation 2x- y/2 = -8

Answers

No.
An order pair is in the format of (x,y). Therefore, in the order pair (2,4), 2 is the x and 4 is the y. When you plug these numbers into the equations you don’t get equal answers:

4(2) = 4 - (4)
8 ≠ 0

3(2) = 26 + 5(4)
6 ≠ 46

What is the slope of the line with the points (3,5) and (6,4)

Answers

Answer:

The slope is -1/3

Step-by-step explanation:

(y2-y1)/(x2-x1)

(4-5)/(6-3)

-1/3

If u understand this May u help me please

Answers

Answer:

Sure what you need help with?

Step-by-step explanation:

Will give brainliest

Answers

i dont no but can someone help me on this???

Pick one thing about the U.S. Constitution including its amendments that you think should be changed. What modifications that you would make? Explain your reasons for making this change. Please write a 5 paragraph essay that details the changes

the answer is b= - 4

Help me asap please!! I'll give brainliest

Answers

Answer:

first one

Step-by-step explanation:

Find an equation of a line containing the point (-6,3) and has slope
- 1/3

Answers

Answer: y=-1/3x+1

Step-by-step explanation:

To find an equation that contains the given point and has the same slope, we can plug it into slope-intercept form to find the y-intercept.

3=-1/3(-6)+b         [multiply]

3=2+b                   [subtract both sides by 2]

b=1

Now that we know the y-intercept, we know that the equation is y=-1/3x+1.

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