A toy rocket is launched from a platform that is 48 feet high. The rocket’s height above the ground is modeled by h = -16t 2+ 32t + 48. a. Find the maximum height of the rocket.

Answers

Answer 1

Answer:

The maximum height of the rocket is 64 ft.

Step-by-step explanation:

The -t^2 term tells us that the graph of this function is a parabola that opens down.  The x-coordinate of the axis of symmetry is

        -b

x = -----------

       2a

which here is:

        -32

x = ------------ = 1

       2(-16)

The value of this function at t = 1 is

h(1) = -16(1)^2 + 32(1) + 48, or 64 ft

The maximum height of the rocket is 64 ft.


Related Questions

for brainiest:):):):):):):):):)

Answers

Answer:

1. $21

2. $56

Step-by-step explanation:

1.

100% - 30% = 70%

70% * $30 = 0.7 * $30 = $21

2.

100% - 20% = 80%

80% * $70 = 0.8 * $70 = $56

Step-by-step explanation:

The equation for percentages is (percent over 100) times (x over total)  

So for the table the equation is 30/100 * x/30

You cross multiply your total x percent and divide by 100.

So 30 * 30 = 900

900 / 100 = 9

30% of 30 is 9.

Now subtract your answer from the original total (30 - 9 = 21)

So the sale price of the tennis table is $21.

Now repeat for your other equation

Your equation is 20/100 * x/70

So 20 * 70 = 1400

1400 / 100 = 14

20% of 70 is 14.

Now subtract your answer from the original total (70 - 14 = 56)

So the sale price of the easel is $56.

Please give me brainiest!

If a triangular cross-section with coordinates at (1, 1), (1, 4), and (3, 1) is rotated about the line x = 1, what will be the resulting three-dimensional object?

Cone
Cylinder
Sphere
Pyramid

Answers

Answer:

answer = cone

Step-by-step explanation:

just took the test and got it right! :)

The resulting three-dimensional object is a cone.

We have given that,

A triangular cross-section with coordinates at (1, 1), (1, 4), and (3, 1) is rotated about the line x = 1.

We have to determine what will be the resulting three-dimensional object.

What is the cone?

A cone is a three-dimensional solid geometric shape having a circular base and a pointed edge at the top called the top.

A cone has one face and a vertex.

Therefore the first option is correct.

The resulting three-dimensional object is a cone.

To learn more about the three-dimensional geometric shape visit:

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2/3 divided by 4?? Help please.

Answers

it’s 1.66666 or 2/12

Classify these angles,

Need Help ASP



Adjacent

Linear Pair

Vertical

None of These

Answers

Step-by-step explanation:

I think vertical is the correct answer.

Philip use 40% off coupon on a single item in the craft store which saved him $16.42 what would the item have cost if he had not use the coupons?

Answers

Answer:

$41.05

Step-by-step explanation:

[tex]\frac{40}{100} =\frac{16.42}{x}[/tex]

[tex]40x=1642[/tex]

[tex]x=41.05[/tex]

So, the original price is $41.05.

Please help. Will give Brainliest!!

Answers

Step-by-step explanation:

[tex]\huge\mathcal\colorbox{cyan}{{\color{white}{AŋʂᏯɛཞ♡࿐}}}[/tex]

Mathematics ia a subject of study of such topics as quantity, structure, space, and change. It has no generally accepted definition.

[tex]{\huge{\overbrace{\underbrace{\orange{Fol.low\:\:Me}}}}}[/tex]

Answer:

XZ = 10[tex]\sqrt{2}[/tex]

Step-by-step explanation:

Using the cosine ratio in the right triangle and the exact value

cos45° = [tex]\frac{1}{\sqrt{2} }[/tex] , then

cos45° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{YZ}{XZ}[/tex] = [tex]\frac{10}{XZ}[/tex] = [tex]\frac{1}{\sqrt{2} }[/tex] ( cross- multiply )

XZ = 10[tex]\sqrt{2}[/tex]

In the equation y = X - 5, the y-intercept is

Answers

-5 is the intercept since y=mx+b, b being the intercept.

Answer:

(0, -5)

Step-by-step explanation:

The y-intercept of a graph is where the graph of the function intersects the y-axis. This means that the x-coordinate of the point is zero. To find the y-intercept of a line, when given the equation of the line, substitute (0) in for (x) and solve the equation,

y = x - 5

x = 0

y = 0 - 5

y = -5

This gives the resulting point of (0, -5) for the y-intercept of the line.

Can someone help me solve this, I don't understand it.

Answers

Step-by-step explanation:

this, I don't understand it.

A town doubles its size every 98 years. If the population is currently 600, what will the population be in 392 years?

WILL GIVE BRAINIEST

Answers

9514 1404 393

Answer:

  9600

Step-by-step explanation:

392 years is enough time for 392/98 = 4 doublings of the population. If the population doubles 4 times, it will be 2^4 = 16 times its present value

  16 · 600 people = 9600 people . . . in 392 years

How do you solve this equation? 5p + 10 = 6p + 22

Answers

Answer:

-12 = p

Step-by-step explanation:

Isolate the p terms on one side and the constants on the other side.  Subtract 5p from both sides:  10 = p + 22.  Next, subtract 22 from both sides, obtaining

-12 = p

Answer:

p+12

Step-by-step explanation:

I think that's the answer hope it helps you.

403.2 rounded to the nearest thousand dollars?

please help if you can

Answers

Answer

0

Step-by-step explanation:

Answer:

Hello! Your answer would be, 403.20

Step-by-step explanation:

Hope I helped! Brainiest plz!♥ Have a nice afternoon. Hope you make a 100%! -Amelia

PLEASE HELP. AND ACTUALLY TRY TO HELP DONT JUST STEAL POINTS. I will give brainliest btw but only if you help me.

Answers

Answer:

1260

Step-by-step explanation:

12/72 is 1/6 of the students going to the play

210 students go to play

210 times 6 is 1260

Answer:

1260 students

Step-by-step explanation:

Let x be the number of students in the school.

12 of the 72 students surveyed said they would attend the school pay so  

 (12/72)x=(1/6)x gives the predicted number of ticket sales.  (Here  12*6=72 so it becomes 1/6)

The table shows 210 students purchased tickets so( 1/6)x=210  

x=6*210

x=1260 students attend the school.

Write the quadratic equation in standard form:
5x2 + 7 + 3x = -3x

Answers

Answer:

Add 3x to both sides of the equation.

5x²+7+3x+3x=0

Add 3x and 3x .

5x²+7+6x=0

To write a polynomial in standard form, simplify and then arrange the terms in descending order.

ax²+bx+c=0 Move 7.

5x²+6x+7=0

Step-by-step explanation:

I will give a brainliest

b) Find the equation of the trend line (line of best fit). Show your work. (2 points)​

Answers

Answer:

Step 1:

Draw a graph - Put Customers on the x-axis and Tips on the y-axis

Equation of a line = mx + c

Then look for where the line crosses the x-axis (this is "c")

Choose two points and find the gradient using this formula:

Change in y/change in x

The number you just got is your "m"

Put it all together and you have y = Mx + C

Hope this helps please mark as brainliest :P

Step-by-step explanation:

Answer:

y = 1.86211x + 4.42878

Step-by-step explanation:

Given data in the table added to scatter plot and line of best fit calculated using a graphing calculator.

See the attached graph.

The line of best fit is:

y = 1.86211x + 4.42878

William is 11 years old. One day, his granddad took him and his younger brother to a basketball game. The tickets for the game were priced at $17 for adults (a) and $13 for children (13 years and younger) (c). What is the expression for the total cost of the tickets for William’s family and what was the total cost? *

Answers

Answer:

pls give that 17$ then I will twll

Exponential function f is represented by the table.

x 0 1 2 3 4
f(x) -12 -4 0 2 3

Function g is represented by the equation.



Which statements are true about the two functions?

Both functions approach -∞ as x approaches -∞.
The functions have the same x-intercept.
The functions have the same y-intercept.
Both functions approach the same value as x approaches ∞.
Both functions are increasing on all intervals of x.

Answers

Answer:

A. Both functions approach -∞ as x approaches -∞

C. The functions have the same y-intercept.

D. Both functions are increasing on all intervals of x.

Step-by-step explanation:

hope it helps...

have a great day.

help me plzzzzzzzzzzzzzz

Answers

Answer:

−x2+2x−1=0

Step-by-step explanation:

To write an equation in standard form, move each term to the left side of the equation and simplify.

ax2+bx+c=0

Move 1

to the left side of the equation by subtracting it from both sides.

2x−x2−1=0

Reorder the polynomial.

−x2+2x−1=0

Answer and Step-by-step explanation:

Standard form of an equation is as follows:

Ax + By = C

We have 2x, -[tex]x^{2}[/tex], and a 1.

Subtract 1 from both sides.

[tex]-x^{2} + 2x - 1[/tex] = 0 is the equation in standard form.

#teamtrees #PAW (Plant And Water)

What is the measure of LXZW?
850
150°
Y
65°
95
Z
215°
W
30°

Answers

Answer:

so the answer is 95°

Step-by-step explanation:

The two angles on a line add up to 180° or are supplementary, so we can find the inside angle x by doing 180-150=30°. Now that we know inside x is 30, if we add 30+65, we get 95, and 180-95=85°. Then to find angle xzw, just do 180-85 to get 95°.

calculate the speed of the car that travels 1000 meters in 10 seconds​

Answers

The answer is 100 m/s

PLEASE HELP

solve the equation by completing the square. round to the nearest tenth if necessary.

x^2 - 12x + 9 = 0

Answers

Answer:

Step-by-step explanation:

Solution by completing the square for:

x2−12x+9=0

Keep x terms on the left and move

the constant to the right side

by subtracting it on both sides

x2−12x=−9

Take half of the x term and square it

[−12⋅1/2]^2=36

then add the result to both sides

x^2−12x+36=−9+36

Rewrite the perfect square on the left

(x−6)^2=−9+36

and combine terms on the right

(x−6)^2=27

Take the square root of both sides

x−6=±27−−√

Simplify the Radical term (1):

x−6=±3–√3

Isolate the x on the left side and

solve for x (1)

x=6±3–√3

therefore (2)

x=6+3–√3

x=6−3–√3

which becomes

x=11.1962

x=0.803848

In his free time, Gary spends 7 hours per week on the Internet and 8 hours per week playing video games. If Gary has five hours of free time per day, approximately what percent of his free time is spent on the Internet and playing video games?
A.
11%
B.
3%
C.
43%
D.
30%

Answers

Answer:

Step-by-step explanation:

5x7=35 hours(Gary’s total free time per week)

7+8=15 hours(Gary is spending his time on the internet+Playing video games)

35h.....100%

15.........x%

x=42,8%=>43%

-4/7p+ (-2/7p)+1/7? I need help on my assignment please :)​

Answers

Answer:

What is the question, what you have to find

Step-by-step explanation:

Describe and correct the error in finding the area of a sector with a radius of 6 centimeters and a central angle of 40

Answers

Answer:

12.56

Step-by-step explanation:

Remark

Since we don't have anything other than the question, all I can do is answer the question. You are left with the task of figuring out the error.

Formula

Area = (central angle divided by 360 ) * pi r^2

Solution

Area = (40 /360) * 3.14 * 6^2

Area = 1/9 * 3.14 * 36

Area = 4 * 3.14

Area = 12.56

Clayton is plowing a wheat field. There are a total of 240 acres to be plowed. If he can plow 5 acres per hour, which equation would
represent A the number of acres left to plow, after Clayton has plowed for h hours?
CA A=5-240h
B. A = 240 + 5h
CA=5+240h
OD. A = 240 - 5h

Answers

Od is the correct answer
Because he started with 240 and he can plow 5 acres very hour.
Hope this helps

Answer:

A = 240 - 5h

Step-by-step explanation:

Have a good day :)

what is the radius of 28mm

Answers

Answer:

14mm

Step-by-step explanation:

Answer:

17

Step-by-step explanation:

they guy up there wrong ploto

I need help on this math question

Answers

Answer:

slope = [tex]\frac{4}{5}[/tex]

Step-by-step explanation:

Calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 3, 0 ) and (x₂, y₂ ) = (2, 4) ← 2 points on the line

m = [tex]\frac{4-0}{2-(-3)}[/tex] = [tex]\frac{4}{5}[/tex]

4/5. Slope = rise/ run. You “rise” 4 units and “run” 5. So the slope is 4/5

Can a regular polygon have an interior angles of 169?​

Answers

Answer:

No.

Step-by-step explanation:

If it is a regular polygon then the sum of its exterior angles add up to 360 degrees. The number of sides in such a polygon  = 360 / exterior angle.

Here each exterior angle = 180-169 = 11 degrees,

Now 11 is not a factor of 360 and if we try to find the number of sides we don't get a whole number, so the answer is NO.

An interior angle 169° cannot form an regular polygon.

What is a polygon?

The polygons are the closed shape that has sides and vertices. A regular polygon has all its interior angles equal to each other.  An interior angle of a polygon is an angle formed inside the two adjacent sides of a polygon.

For the given situation,

An interior angle of the polygon = 169

The angle of the sum of all the types of interior angles is always equal to 180 degrees.

⇒ [tex]180-169=11[/tex]

Number of sides can be found by dividing the angle by 360°.

We cannot divide 360 by 11, because 11 is not the factor of 360.

Hence we can conclude that an interior angle 169° cannot form an regular polygon.

Learn more about polygons here

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You start at (2, -4). You move up 4 units. Where do you end?​

Answers

Answer:

(2, 0)

Step-by-step explanation:

Hope This Helps! : )

Queensbury, New York is a 200 mile drive from New York City. If Laura had driven 140 miles of it already, what percent has she driven?

Answers

Answer:

70 percent

Step-by-step explanation:

140/200 = 7/10 = 0.7 = 70 percent


What is the equation of a line with a slope of 2, that goes through the point (12,5)?

Answers

Answer:

[tex] y = 2x-19 [/tex]

Step-by-step explanation:

Line passes through the point [tex] (12,\: 5) =(x_1,\: y_1) [/tex] and has a slope (m) = 2

Equation of line in point slope form is given as:

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

[tex]\therefore y - 5 = 2(x-12) [/tex]

[tex]\therefore y = 2x-24+5 [/tex]

[tex]\therefore y = 2x-19 [/tex]

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