The height (ft) of an object is launched into the air given by the function h(t)=-6t^2+120t+17 where t is the time in seconds.

When will the obj reach its maximum height ?
What is the max height?
After how many seconds will it hit the ground?

Answers

Answer 1

Answer:

Object will reach the max height in 10 seconds.

Max. height is 1817.

It will hit the ground in 20 seconds.

Step-by-step explanation:

In order to find the x value which makes the function take its greatest value, you need to take the derivative of the function and equalize the result to 0.

h'(t)=-12t+120=0

t=10

The object will reach its maximum height in 10 seconds.

h(10) (maximum height) = 6.10.10+120.10+17= 600+1200+17=1817

Considering this is a parabola, time in total is two times more than the time passed until reaching the max. height.

10.2=20


Related Questions

A man collected data on his weight loss while on a diet. He modeled the equation y = 295 - 5x for the line of best fit. The
independent variable, x, is time in weeks and the dependent variable, y, is weight in pounds. What does the slope mean in this
context?
A)
The man lost 5 additional pounds each week.
B)
The man lost a total of 5 pounds while on his diet.
The man weighed 295 pounds at the start of his diet.
D)
The man lost a total of 295 pounds while on his diet.

Answers

The answer choice for this is D

Answer:

Correct Answer would be C

Step-by-step explanation:

What is the surface area of the victory podium shown here? Include all surfaces of the podium, including the bottom. A. 61.5 square feet B. 61.75 square feet C. 65.25 square feet D. 69 square feet

Answers

Answer:

69

Step-by-step explanation:

the formula is 2( base x height) + 2 (base x width) + 2( height x width)

do that for top rectangle and bottom and add them together

Answer:

65.25 square feet.

A figure is shown.

What is the value of m?
___ degrees

Answers

Answer:

58°

Step-by-step explanation:

Good luck , hope it helped you :)

Answer:

58 degrees

Step-by-step explanation:

Since a straight line is 180 degrees then we can find out the two missing angles within the triangle.

180-126=54

180-112=68

54+68=122

180-122=58

m=58 degrees

Hope this helps :)

Consider the following system of equations.

y − 10 = 7x
y = x2 + 4x

Determine which resulting quadratic equation would be a step in solving the given system of equations.


x2 + 3x + 10 = 0

x2 − 3x − 10 = 0

x2 + 3x − 10 = 0

x2 − 3x + 10 = 0

Answers

The second one will be the answer

Michael is measuring fabric for the costumes of a school play he needs 11.5 meters of fabric. He has 280 centimeters of fabric. How many more centimeters does he need ?

Answers

Answer:

8.7

Step-by-step explanation:

The answer is 8.7 because 280 centemiters converted into meters is 2.8 and 11.5-2.8=8.7

A silicon wafer is textured to minimize light reflection. This results in a surface made up of square pyramids. Each triangular face of one of the pyramids has a base of 5 micrometers and a height of 5.6 micrometers. Find the surface area of the pyramid, including the base.

Answers

Answer:

86.33 square micrometers

Step-by-step explanation:

A silicon wafer is textured to minimize light reflection. This results in a surface made up of square pyramids. Each triangular face of one of the pyramids has a base of 5 micrometers and a height of 5.6 micrometers. Find the surface area of the pyramid, including the base.

The formula for the Surface Ares mma is given as :

A=a² + 2a √a²/4+ h²

a = base edge = 5 micro meters

h = height = 5.6 micro meters

=5²+2× 5 × √5²/4+ 5.6²

= 86.32699 square micrometers

≈ 86.33 square micrometers

HELP!! Multiply and simplify and express as a mixed number


12 x 3/8
no links or files

Answers

Answer: 4 and 1/2

Step-by-step explanation: Ok so 12 is a whole number so to turn it into a fraction put it over one as in 12/1.

Then just multiply 12/1 x 3/8 which equals 36/8 But we aren't done!

now we must calculate how many times 8 goes into 36 without going over 36 which is 4. 8 times 4 is 32 so we have 4 leftover. Now writing this as a fraction is 4   4/8. 4 is the whole number and that 4 represents 8 going tinto 36 4 times like we just demonstrated. since 36-32 is 4 thats how you get a 4/8 as your fraction.

Then you just simplify your fraction and 4  4/8 turns into just 4   1/2.

I really hope I explained this well and you understand it! :)

A rectangle has a perimeter of 30 yards. If one side is 5 yards long, how long is the other side?
A. 15 yards
B. 25 yards
C. 10 yards
D. 30 yards

Answers

Answer:

C. 10

Step-by-step explanation:

5+5=10

10+10=20

10+20=30

Answer:

The other is 10 yards long

Step-by-step explanation:

For a given rectangle

Perimeter (P) = 30 yards

and one of rectangle is 5 yards

Now,

Perimeter of rectangle

P = 2l + 2b

30 = 2(5) + 2b

30 = 10 + 2b

30 - 10 = 2b

20 = 2b

b = 20 ÷ 2

b = 10 yards

Thus, The other is 10 yards long

-TheUnknownScientist

For witch of the following inequalities shown below is x=2 solution? Select all that apply.

Answers

Answer:

z=x so x=all answer ALL

Step-by-step explanation:

FREE PTS! On a scale of 1-10 ow strict are your parents? I would say mine are 8/10​

Answers

Answer:

10/10

Super strict!!

Over protective!!! LOL

When calculating total wall length, do you include the lengths of windows and doors? Or exclude them?

Answers

You calculate wall-length like this.

Measure the length of each wall including doors and windows. Find the total square feet of the wall(s) by multiplying ceiling height by total wall length. Subtract areas that will not be covered.

A 12-foot ladder is propped against a vertical wall. The top end is 11 ft above the
ground. What is the measure of the angle formed by the ladder with the ground?

If you plan on giving me a link just keep moving. Don’t even stop to answer this. The. links. don’t. Help.
But if you can actually answer the question and help me understand how you got it that would be awesome.

Answers

Answer:

it's prolly a 45 degree angle of less if the top is 11 feet off the ground

Step-by-step explanation:

if you think about it you get the picture in your head of the room and the position of the ladder against the wall. hope it helps

AHH IM BEGGING OMG YOU DONT KNOW HOW IMPORTANT THIS IS I WILL GIVE BRAINLIEST AND I WILL BE FOREVER GREATEFUL PLSSSSS

Owen can type 30 and 2/3 words in 2/35 of a minute. What is his rate in words per minute?

Answers

Answer:

Owen can type 536 2/3 per minute

Step-by-step explanation:

let me know if this is wrong

Which is NOT a function?
A y – x = 6
B y = 2x
C x = -2
D y + x = 12

Answers

Answer:

D

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

A bag contains to White blocks and one red block and 3 purple blocks what is the sample space of picking a block from the bag

Answers

Answer:

1/36

Step-by-step explanation:

Probability is the likelihood of chance that an event will occur. Mathematically,

Probability = expected outcome/total outcome

If a bag contains two white blocks, one red block and 3 purple block

Total outcome = 2+1+3= 6

Probability that white ball is selected = 2/6

Probability that red ball is selected = 1/6

Probability that white ball is selected = 3/6

Probability of picking a ball is 2/6 × 1/6 × 3/6

Probability of picking a ball = 6/216

Probability of picking a ball = 1/36

help please i don’t get it

Answers

I had that on my test too

As a result of aerobic respiration, the composition of the air that is breathed in and the air that is breathed out changes

Answers

Answer:

The given statement is true

Step-by-step explanation:

Complete question

As a result of aerobic respiration, the composition of the air that is breathed in and the air that is breathed out changes. Is this true

Solution

Yes the composition of gases inhaled and exhaled are of different composition.

We intake oxygen from atmosphere while breathing in. However, while breathing out we release carbon dioxide (CO2).

Hence the given statement is true.

Brain Teaser! Will be posting till I run out! Winner gets a brainliest!

Question: Find the area of the red triangle.

Answers

Answer:

i tried

Step-by-step explanation:

im suppose to be gifted... it took me 20 minutes and im in 9th grade RIP, but is it 9??

HELP ME PLEASE!! ILL MARK BRAINLIEST FOR THE FIRST TO AMSWER ! BUT THE ANSWER AS TI BE RELATED TO THE QUESTION CAUSE IF NOT I WOMT MARK U BRAINLIEST !​

Answers

C is your will be your answer

Two trains are traveling toward each other, on parallel tracks. Train A is moving at a constant speed of 70 miles per hour. Train B is moving at a constant speed of 50 miles per hour. The trains are initially 320 miles apart. How long will it take them to meet?

Answers

Ummm I don’t know what it is

Can any of these get round to the Nearest tenth

Answers

Answer:

They both can First=1,885 second=628.3

Step-by-step explanation:

Answer:

Yes, I belive so. For the first one (1.884.95592), you have to round them starting with the lowest place number and work your way up.

the area is approximately ___ square ft.

use 3.14 for pi​

Answers

Answer:

200.96

Step-by-step explanation:

divide the diameter by 2, to get 8. then multiply 8 by 8 to get 64. 64×3.14 is 200.96

The ships kitchen stocks 1 3/5 quarts of ice cream for every 1/4 cake. There are 10 cakes in the kitchen. How many quarts of ice cream are there?

Answers

Answer:

it should be 11.85 if it's not I do not know what is the answer to it

Answer:

actually the answer is 64

Step-by-step explanation:

Select the statement that describes the expression 5 x (8 − 5) ÷ 3.

5 times the sum of 8 and 5, then divide by 3
5 times the product of 8 and 5, then divide by 3
5 times the difference of 8 and 5, then divide by 3
5 times the difference of 8 and 5, then add 3

Answers

Answer:

Step-by-step explanation:

5 x (8 − 5) ÷ 3   5 times

5 x (8 − 5) ÷ 3   the difference of 8 and 5

5 x (8 − 5) ÷ 3   then divide by 3

5 times   the difference of 8 and 5   then divide by 3

What is the area of a rectangle that is 1 1 4 1 4 1 ​ 1, start fraction, 1, divided by, 4, end fraction meters long and 3 4 4 3 ​ start fraction, 3, divided by, 4, end fraction of a meter wide?

Answers

Answer:

4 11/16 m²

Step-by-step explanation:

The formula for the area of a rectangle = Length × Width

From the question:

Length = 1 1/4 m

Width = 3 3/4m

Area of the rectangle =

1 1/4 m × 3 3/4 m

= 5/4 m × 15/4 m

= 75/16 m²

= 4 11/16 m²

Area of the rectangle = 4 11/16 m²

The circumference of the inner circle is 270.04 miles. What is the area of the shaded region?

Answers

area of a circle = [tex]\pi r^{2}[/tex]

circumference =[tex]2\pi r[/tex]

Okay so the center of the circle is the same for both of the circles lets take that value as m so the radius of the inner circle is 54 - m

we have the circumference of the inner circle which is 270.04 we can find the value of m using that

[tex]270.04=2\pi (54-m)\\270.04= 339.2-6.28m \\6.28m = 339.2-270.04\\m= 11.02[/tex]

the radius of the inner circle is therefore 42.98

and the full circle has a radius off 65.02

area of shaded region = area of full circle - area of inner circle

area of shaded region = [tex]\pi (65.02)^{2} - \pi (42.98)^{2}[/tex]

area of shaded region = [tex]13281.39 - 5803.4[/tex]

area of shaded region = 7478 rounded off to the nearest whole number

Simply the following expression: 12x + 5x - 8x

Answers

I don’t know but please let me know :)

Please helppp thanksss

Answers

Y-intercept
(0,-2)
x-intercept
(5,0)

can someone please help me

Answers

Answer:

21

Step-by-step explanation:

21

In a 30° -60° -90° triangle, what is the length of the hypotenuse when the shorter leg is 8 m? Enter your answer in the box.

Answers

Answer:

16

Step-by-step explanation:

In a 30 60 90 degree triangle, the hypotenuse is always double the shorter leg. Hope this helps! :)

The hypotenuse of the 30-60-90 triangle whose shorter leg is 8 m is: 16 m.

What is the 30-60-90 Triangle?

The 30-60-90 triangle is a right triangle whose hypotenuse length is always twice the length of the its shorter leg.

Given a 30-60-90 triangle whose shorter leg is 8 m long, therefore:

Hypotenuse of the 30-60-90 triangle = 2(length of the shorter leg)

Hypotenuse of the 30-60-90 triangle = 2(8)

Hypotenuse of the 30-60-90 triangle = 16 m.

Learn more about the 30-60-90 triangle one:

https://brainly.com/question/26097705

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