a toy rocket is fired into the air from the top of a barn its height H above the ground in yards after T seconds is given by the function h of T is equal to -5 t^2 + 10t + 20
1.what is the maximum height of the rocket
2. how long was the rocket in the air before hitting the ground
3.at what time(s) will the rocket be at a height of 22 yards ​

A Toy Rocket Is Fired Into The Air From The Top Of A Barn Its Height H Above The Ground In Yards After

Answers

Answer 1

Answer:

45

Step-by-step explanation:

x = -30/2(-5)

x = -30/(-10)

x = 3 sec

.

Plug above into equation to find height:

h=-5t^2 + 30t

h=-5*3^2 + 30(3)

h=-5*9 + 30(3)

h=-45 + 90

h=45


Related Questions

Camden invested $260 in an account paying an interest rate of 4-1/8 % compounded annually. Evan invested $260 in an account paying an interest rate of 3-7/8 compounded continuously. After 13 years, how much more money would camden have in his account than Evan, to the nearest dollar

Answers

Answer:

$5500

Step-by-step explanation:

Find the volume of this triangular pyramid.

Answers

Answer:

v = 340 cm³

Step-by-step explanation:

base area = 12 x 10 x 0.5 = 60 cm²

v = 60 x 17 x 1/3 = 340 cm³

What is the distance between the bakery (b) and the library (c)? Explain using coordinate subtraction

Answers

Answer:

The distance between the bakery and the library is the length of BC. The endpoints of this line segment are B(0, 4) and C(3, 4). Because the y-coordinates of both points are the same (4), the length of BC can be found by subtracting the smaller x-coordinate from the greater x-coordinate: BC = 3 - 0 = 3 units. The distance between the bakery and the library is 3 blocks.

Step-by-step explanation:

I did the activity, this is the sample answer.

Kendra Buys three bracelets for $48 which table shows the correct amount she would need to pay to buy nine or 13 bracelets at the same price per bracelet

Answers

Answer:

The answer is B

Step-by-step explanation:

Divide 48 by 3 which gives you the total amount for one bracelet then you have to multiply the amount by 9 and 13 and then find your answer in the letters.

The proportion relationship is as follows;

number of bracelet         total cost($)

                3                           48

                9                            144

               13                           208

Proportional relationship

Proportional relationship is one in which two quantities vary directly with each other.

Therefore, we can establish a proportional relationship between the number of bracelets and it cost.

Hence,

let

x = number of bracelet

y = cost of the bracelets

Therefore,

y = kx

where

k = constant of proportionality

48 = 3k

k = 48 / 3

k = 16

Let's find the cost for 9 or 13 bracelet

y = 12x

y = 16(9) = 144

y = 16(13) = 208

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The speed of light is 3 × 108 meters per second. It take 1.82 × 102 seconds for light to reach Mars. What is the distance, in meters, between the sun and Mars? A 4.82 x 1016 B 4.82 x 1010 C 5.46 x 1016 D 5.46 x 1010

Answers

Answer:

D 5.46 x 10^10

Step-by-step explanation:

Recall that  speed is the rate of change of distance with time and may be expressed mathematically as

speed = Distance/time

Distance = speed * time

Hence given that the speed of light

= 3 × 10^8 meters per second

Time taken for light to travel between the given distance

= 1.82 × 10^2 seconds

substituting the given values

Distance = 3 × 10^8 * 1.82 × 10^2

= 5.46 * 10^(8+2)

= 5.46 * 10^10 meters

Will Mark Brainliest To First Correct Answer.
Properties of Kites on IXL. I Only need to get one more correct and dont want to get reset...

Answers

Step-by-step explanation:

[tex]ei = \sqrt{ {45}^{2} - {27}^{2} } = \\ = \sqrt{2025 - 729} = \\ = \sqrt{1296} = \\ = 36[/tex]

I NEEDDD HELP PLEASE!!! this is due today!

Answers

Answer:

What is it love ?

Step-by-step explanation:

1 The legs of a triangle are 6 cm and 8 cm. The hypotenuse is 14 cm. Is it a right triangle?

Answers

Answer:

this is not a right triangle

Step-by-step explanation:

^  = squared

The formula forthe Pythagorean theorem is    a^+ b^   = c^

If this is a right triangle this must be true

6^ +    8^   =   14^

36 + 64 =  196

100  is not equal to 196

So this is not a right triangle

46 people are going to the beach. Nine people can ride in each van. How many vans are needed?

Answers

Answer:

6

Step-by-step explanation:

No. of people going to beach = 46 .

Using Unitary Method ,

9 people can go in one van .

1 person can go in 1/9

46 people can go in 1/9 * 46 = 5.1

Since vans can't be in fraction , 1 extra van for 1 person is need that is for 46th person .

So total number of vans = 5 + 1 = 6

Find the area of the following figure below. Use 3.14 for pie

Answers

Answer: 113.1 i think sorry im bad at pi U_U

Step-by-step explanation:

Answer:

113.04

Step-by-step explanation:

Where rinding area so do the formula

A = Pi×r²

A = 3.14×36

A= 113.04

Find the value of k and x2
x^2+ 13x + k = 0, x1=-9

Answers

Given:

The quadratic equation is:

[tex]x^2+13x+k=0[/tex]

[tex]x_1=-9[/tex]

To find:

The value of k and [tex]x_1[/tex].

Solution:

We have,

[tex]x^2+13x+k=0[/tex]                ...(i)

Putting [tex]x=-9[/tex], we get

[tex](-9)^2+13(-9)+k=0[/tex]

[tex]81-117+k=0[/tex]

[tex]-36+k=0[/tex]

[tex]k=36[/tex]

Putting [tex]k=36[/tex] in (i), we get

[tex]x^2+13x+36=0[/tex]

Splitting the middle term, we get

[tex]x^2+9x+4x+36=0[/tex]

[tex]x(x+9)+4(x+9)=0[/tex]

[tex](x+9)(x+4)=0[/tex]

[tex]x=-9,-4[/tex]

Here, [tex]x_1=-9[/tex] and [tex]x_2=-4[/tex].

Therefore, the required values are [tex]k=36[/tex] and [tex]x_2=-4[/tex].

what's the answer to this?

Answers

Answer:

126 yds will be your answer.

Step-by-step explanation:

30+(24+24)+4+2+(3+3)+(4+30+2)=126

just add all of the sides up.

Three coffees and two muffins cost a total of $7. Two
coffees and four muffins cost $8.
Let x = cost of coffees
Let y = cost of muffins
how do i write this in a system of linear equations?

Answers

Step-by-step explanation:

3 coffees + 2 muffins = $7

therefore,

[tex]3x + 2y = 7[/tex]

2 coffees + 4 muffins = $8

therefore,

[tex]2x + 4y = 8[/tex]

Answer:

i think in every coast we're adding two shillings in the first sentence the total was 5 and we paid $7 and in the second sentence the total was 8 dollars meaning we added to shillings.

Step-by-step explanation:

in my school we are taughtthat we shouldn't mix goats with sheeps so we this the same way we can't mix x and y so in my opinion I guess you can say x + y =to that amount of money at the end you paid if it's 8 dollars or 7 dollars. we can say x represents the coffees and y represents the muffins that's how I get it I hope you want to be angry with me. for example 3 + 2 equals to 7 .3 + 2 is 5 so we'll carry five to the other side of equals where we will make it be minus so we'll say 7 - 5 where will get 2

A parabola can be drawn given a focus of (2, 4)(2,4) and a directrix of x=4x=4. Write the equation of the parabola in any form.

Answers

Answer:

The equation of the parabola is;

x = -(1/4)·(y - 4)² + 3

Step-by-step explanation:

The given focus of the parabola is f = (2, 4)

The directrix of the parabola is x = 4

The vertex form of the equation of the parabola can be expressed as follows;

x = a·(y - k)² + h

(y - k)² = 4·p·(x - h)

Where;

(h, k) = The vertex of the parabola

(h + p, k) = The focus of the parabola

x = h - p = The directrix

Therefore, k = 4

h + p = 2...(1)

h - p = 4...(2)

∴ 2·h = 6

h = 6/2 = 3

From equation (1), we have;

p = 2 - 3 = -1

p = -1

From the equation of the parabola in the form, (y - k)² = 4·p·(x - h), we have;

The equation of the parabola is (y - 4)² = 4 × (-1) ·(x - 3)

Therefore, we have;

(y - 4)² = -4·x + 12

4·x = 12 - (y - 4)²

The equation of the parabola is x = -(1/4)·(y - 4)² + 3

y² -8·y + 16 = -4·x + 12

4·x = 8·y - y² - 16 + 12 = 8·y - y² - 4

x = 2·y - y²/4 - 1 = -y²/4 + 2·y - 1

The equation of the parabola can also be written in the form

x = -y²/4 + 2·y - 1 = -0.25·y² + 2·y - 1

A trap to catch fruit flies uses a cone in a jar. The cone is shown with a height of 10 centimeters (cm) and a radius of 6 centimeters (cm.)
a. What is the volume of the​ cone? Write your answer in terms of pi.
b. Explain why an answer in terms of pi is more accurate than an answer that uses 3.14 for pi.

Answers

Answer:

120 pi

Step-by-step explanation:

a. 1/3pi(6)^2(10)

just plug them into the calculator using pi.

b. pi is more accurate because you aren't round to 3.14. If you use 3.14 your answer will be rounded and not an exact number.

The volume of the cone is 120π.

Because 3.14 is an approximation to π which is accurate to about one twentieth of a percent.

What is the volume of the cone?

The volume of the cone is;

[tex]\rm Volume \ of \ cone=\dfrac{1}{3}\pi r^2h\\\\Where \ r= radius , \ h = height[/tex]

A trap to catch fruit flies uses a cone in a jar.

The cone is shown with a height of 10 centimeters (cm) and a radius of 6 centimeters (cm.)

1. The volume of the cone is;

[tex]\rm Volume \ of \ cone=\dfrac{1}{3}\pi r^2h\\\\ Volume \ of \ cone=\dfrac{1}{3}\times \pi \times 6^2\times 10\\\\ Volume \ of \ cone=\dfrac{1}{3}\times \pi \times 36\times 10\\\\ Volume \ of \ cone=120\pi \\\\[/tex]

The volume of the cone is 120π.

2. Because 3.14 is an approximation to π which is accurate to about one twentieth of a percent.

If you are dealing with everyday physical measurements, this accuracy for π will likely exceed the accuracy of your measurement (such as your height to within a millimetre or four hundredths of an inch!). Hence a calculated answer would not be more accurate than if you simply used 3.14 or, just to be sure, 3.142.

Learn more about volume of cone here;

https://brainly.com/question/12559866

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The radius of a circle is 8 inches. What is the area?

r=8 in

Give the exact answer in simplest form.

Answers

Answer:

201.06in²

plz mark me as brainliest

Which set of ordered pairs does not represent a function?

Answers

Answer is First one
Step by step explanation
In first one y=0

Answer:

Hi! The answer to your question is D. {(0,0),(0,1),(1,2)(1,3)}

Step-by-step explanation:

☆*: .。..。.:*☆☆*: .。..。.:*☆☆*: .。..。.:*☆☆*: .。..。.:*☆

☁Brainliest is greatly appreciated!☁

Hope this helps!!

- Brooklynn Deka

I WILL GIVE U BRAINLYEST!! PLSS HELP!

The graph below represents the number of siblings each student in a class has.

what was the mean number of siblings?

Answers

The mean number of students in the class is 2.4 siblings.

What is the mean number of students?

Mean is the average of a set of numbers. It is determined by adding the numbers together and dividing it by the total number

Mean = total sum of siblings / number of students

[(0 x 4) + ( 1 x 4) + ( 2 x 2) + ( 3 x 8) + ( 4 x 4) ] / ( 2 + 4 + 2 + 8 + 4)

= 48 / 20 = 2.4 siblings

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Martin bought a painting for $5000. It is expected to appreciate at a continuous rate of 4%. Write an exponential equation to model this situation

Answers

Answer:

y=5000(1.04)^t

Step-by-step explanation:

Given data

Cost of painting=$5000

Rate of increase=4%

the exponential increase expression is

y=P(1+r)^t

      Where y= the total amount after growth

                  P= the initial cost of the painting

                  r= the rate of increase

                  t= the time interval

y=5000(1+0.04)^t

y=5000(1.04)^t

I need help fast and for real no bots

Answers

Answer: d. 201.06

Step-by-step explanation:

To find area of a circle we use the equation 2pi(r) or in this case 2*pi(16)= 804.25in^2 but since we are looking for the shaded region which is 1/4 or one-fourth of the circle so divide 804.25/4 to get 201 or specifically 201.06

Given a ≠ ± b and (a^2-b^2) / (a+b)=12 find a-b.
(I will give brainliest for helpful answers. Please don't put a link in the answer box.)

Answers

Answer:

[tex] \sqrt{12a \: + \: 12b \: - \: 2ab \: + \: 2b {}^{2} } [/tex]

Step-by-step explanation:

(a²-b²) / (a+b) = 12

a² - b² = 12(a+b)

(a-b)² + 2ab - 2b² = 12a + 12b

(a-b)² = 12a + 12b - 2ab + 2b²

a - b =

[tex] \sqrt{12a \: + 12b \: - 2ab \: + \: 2b {}^{2} } [/tex]

∠A and \angle B∠B are vertical angles. If m\angle A=(7x-8)^{\circ}∠A=(7x−8)

and m\angle B=(6x+17)^{\circ}∠B=(6x+17)

, then find the value of x.

Answers

Do not click in the link above, he is a scammer and trying to fool us

look at photo for the question and answer choices... NO LINKS OR BLANK ANSWERS

Answers

Answer:

B and E

Step-by-step explanation:

Find the distance between the points ( -5,1) and (4,0) round to the nearest tenth

Answers

Answer:

9.1 units

Step-by-step explanation:

formula of a distance of two points:

[tex]\sqrt{(x1-x2)^2+(y1-y2)^2}[/tex] where x and y indicate the coordinates of the points

[tex]\sqrt{(4+5)^2 + (-1)^2} = \sqrt{81 + 1} = \sqrt{82} = 9.1 units[/tex]

Find the sum of the Interior angle measures of a convex 11-gon (an eleven-sided polygon).

Answers

Answer:

1620 degrees.

Step-by-step explanation:

In a polygon the number of sides = the number of angles.

Each external angle = 360 / 11 = 32 8/11 degrees.

Each internal angle = 180 - 32 8/11 = 147 3/11 degrees

So sum = 147 3/11 * 11

= 1617 + 3

= 1620 degrees.

Answer:

It's 1620°

Hope it helps

Step-by-step explanation:

Hint:>

( The sum of the interior angle (S),

The the sides of the polygon (n).)

Then use this formula :

S=180°(n-2)

= 180°(11-2)

= 180°(9)

= 1620°

can some please help me with this problem?

Answers

Answer:

b

Step-by-step explanation:

its a negative slope, so you can eliminate c and d. even though the scale is 2, the slope always pertains to $1 increase and not $2 increase.

I think the answer to this problem is B.

Excuse me, for the person who answers this right I will brain list. (if you can't quiet understand the question, I left an image)
Complete: For the function ()=−2‾‾‾‾‾√3, the average rate of change to the nearest hundredth over the interval −2 ≤ x ≤ 4 is ______.

Answers

Answer:   It is 3.>9

Step-by-step explanation:

because i dont know

Which of the following sets of numbers could not represent the three sides of a right
triangle?

Answers

Answer:

{48, 64, 81}

Step-by-step explanation:

A machine press has 51 yards of steel for making 4-inch nails. How many nails can be pressed from the steel?

Answers

459 nails is your answer

51 yards of steel x 3 feet/yard = 153 feet of steel
153 feet x 12 inches/foot = 1836 inches of steel.

1836/4 inches per nail = 459 nails

BRAINLY TO WHOEVER HELPS AND GETS IT RIGHT

~no links pls~

Answers

Answer: A

Step-by-step explanation:

Answer is A. 25

Step by step explanation

Let hypotenuse be h
h^2=24^2+7^2
h^2=625
h=25
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