A model rocket is launched from ground level. Its height, h meters above the ground, is a function of time t seconds after launch and is given by the equation . What would be the maximum height, to the nearest meter, attained by the model? (First find the axis of symmetry x= (-b/2a), then plug this value into the equation)

Answers

Answer 1

Answer:

The maximum height attained by the rocket is 240.1 m.

Step-by-step explanation:

The height above the ground is a function of time t is given by :

[tex]h= -4.9t^2 + 68.6t[/tex] ...(1)

We need to find the maximum height of the model. First we find the time of max height using axis of symmetry of the equation as follows :

[tex]x=\dfrac{-b}{2a}[/tex]

We have, a = -4.9 and b = 68.6

So,

[tex]t=\dfrac{-(68.6)}{2\times -4.9}\\\\=7\ s[/tex]

Put t = 7 in equation (1)

[tex]h= -4.9(7)^2 + 68.6(7)\\\\=240.1\ m[/tex]

So, the maximum height attained by the rocket is 240.1 m.


Related Questions

Use the distributive property to write an equivalent expression 3(9h + 4)

Answers

The simplified version of 3(9h + 4) is 27h + 12 because you are multiplying 3 and 9h to get 27h, and 4 and 3 to get 12

Hope this helped! :D

Answer:

27h + 12

Step-by-step explanation:

The simplified version of 3(9h + 4) is 27h + 12 because you are multiplying 3 and 9h to get 27h, and 4 and 3 to get 12

Find the slope of the line that passes through the following points. (-5, -2) (5, 2)
2/5
5/2
10/4
2 1/2

Answers

Answer:

The slope is 2/5

Step-by-step explanation:

Calculating the Slope of a Line

Suppose we know a line passes through points A(x1,y1) and B(x2,y2). The slope can be calculated with the equation:

[tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]

We are given the points (-5, -2) (5, 2). Let's compute the slope:

[tex]\displaystyle m=\frac{2-(-2)}{5-(-5)}[/tex]

[tex]\displaystyle m=\frac{4}{10}[/tex]

Simplifying:

[tex]\displaystyle m=\frac{2}{5}[/tex]

The slope is 2/5

It is recommended that backpackers should carry no more than 20% of their body weight on long hikes and no more than 10% of their body weight on short hikes.
Part A
A hiker who weighs 160 pounds is planning a long hike. The weight of their backpack when packed with essential equipment is 15 pounds. Write an inequality to show how many pounds, p, the hiker can still add to their backpack and stay within the recommended weight.

Part B
A hiker who weighs 180 pounds is planning a day hike. The weight of their backpack when packed with essential equipment is 7.5 pounds. How much weight can the hiker still add to their backpack and stay within the recommended weight?
Place an X in the table to show whether each weight is within recommendation or not.
Within Recommendation Not Within Recommendation
9.25 pounds
15.75 pounds
29.5 pounds

Answers

Answer:

Step-by-step explanation:

9.25 pounds

Debbie is making a Halloween costume for her daughter and needs 4 3/8 yards of gold trim and 3 7/8 yards of pink trim. If the trim costs $2 a yard, how much will she spend?

Answers

Answer:17.5 $

Step-by-step explanation:

3 7/8+4 3/8 *2

Mama dbdjd d did f dbjdbf ddbdnd

Answers

Answer:

ah yes mama

Step-by-step explanation:

Answer:

honestly same

Step-by-step explanation:

Consecutive/Same-Side Exterior Angles
Answer
Alternate Interior Angles
Answer
Alternate Exterior Angles
Answer
None of these
Answer
Consecutive/Same-Side Interior Angles
Answer
Corresponding Angles
Answer

Answers

Consecutive same side: 1 and 4
Alternate interior : 7 and 9 / 6 and 12/ 11 and 5 / 8 and 10
Alternate exterior: 1 and 5/ 4 and 8
Same side interior: 8 and 9 / 7 and 10 / 10 and 11/ 11 and 6/ 5 and 12 / 7 and 6
Corresponding angles : 1 and 9 / 3 and 11/ 2 and 10/ 4 and 12 / 1 and 3/ 2 and 4/ 8 and 6/ 7 and 5/ 9 and 11/ 10 and 12

How do you solve fore x/3 - x/5 = 2

Answers

you need to make the bottom fraction a common multiple !!
Hello there!

The answer would be x=15
Because
You divide 15 by 3x and 5x which equals 5x-3x then you combine like terms so 2x=30 or 30 divided by 2 which equals 15

Hope this helps

Have a great day/night

help me asap please, very much appreciated :)​

Answers

Answer:

155°

Step-by-step explanation:

x + 25° = 180° {Being linear pair }

x = 180° - 25°

Therefore x = 155°

Hope it will help :)

Answer:

155⁰

Step-by-step explanation:

Total angle on a straight line = 180⁰

: 25⁰ + x⁰ = 180⁰

x⁰ = 180⁰ - 25⁰

x⁰ = 155⁰

I noticed there is only one answer for this question and the answer was..incorrect. Therefore can someone answer this for me?
y=2x+9
y=4x-3

Answers

..............................

x=-9/2

x=-3/4

Answer:

x = 6

y = 21

Step-by-step explanation:

y = 2x + 9

y = 4x - 3

2x + 9 = 4x - 3

• Get the like-terms together:

9 + 3 = 4x - 2x

12 = 2x

• Divide 2x and 12 by 2 (to get x by itself):

12 ÷ 2 = 2x ÷ 2

6 = x OR x = 6

• To find the value of y, we have to substitute x into one of the equations (it doesn't matter which equation you plug x into, if the value of x is correct, both will equal the same number):

y = 2(6) + 9

y = 12 + 9

y = 21

y = 4(6) - 3

y = 24 - 3

y = 21

Please mark me the Brainliest!?!

Good morning can u help???

Answers

Answer:

Select the proportional relationship.

That is the only thing that is in the checkbox. It won't let you continue unless you get something.

Select the proportional relationship

Write and equati9n of a l8ne that passes through (1,-2) and is perpendicular to -4x+7y=21

Answers

Given:

A line passes through (1,-2) and is perpendicular to [tex]-4x+7y=21[/tex].

To find:

The equation of that line.

Solution:

We have, equation of perpendicular line.

[tex]-4x+7y=21[/tex]

Slope of this line is

[tex]m_1=-\dfrac{\text{Coefficient of x}}{\text{Coefficient of y}}[/tex]

[tex]m_1=-\dfrac{-4}{7}[/tex]

[tex]m_1=\dfrac{4}{7}[/tex]

Product of slope of two perpendicular lines is -1.

[tex]m_1\times m_2=-1[/tex]

[tex]\dfrac{4}{7}\times m_2=-1[/tex]

[tex]m_2=-\dfrac{7}{4}[/tex]

Now, slope of required line is [tex]-\dfrac{7}{4}[/tex] and it passes through (1,-2). So, the equation of line is

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

where, m is slope.

[tex]y-(-2)=-\dfrac{7}{4}(x-1)[/tex]

[tex]4(y+2)=-7(x-1)[/tex]

[tex]4y+8=-7x+7[/tex]

[tex]4y+7x=7-8[/tex]

[tex]7x+4y=-1[/tex]

Therefore, the equation of required line is [tex]7x+4y=-1[/tex].

PLS PLS PLS HELP Honors 9th Grade Math!!!!

Answers

Answer:

21=x ( alternate angles are equal)

please help asappppp

Answers

Answer:

5 inches

Step-by-step explanation:

hypotenuse (h)=13

perpendicular (p)=12

base(b)=√h^2-b^2

=√169-144

=√25

=5

It’s 5 since 5, 12, 13 is considered to be a perfect right triangle I think

is it an linear or exponential function

Answers

Answer:

a i think but im not sure

Step-by-step explanation:

Y/x is 2/1=2 bottom ur multiply by 2 and adding 1 on top so I think it’s exponential. Do you have a calculator to put those coordinates to check if is straight line then it’s linear

Simplify the expression
2y + y + gy.
Need hellllp plss

Answers

Answer:

3 y + g y

Step-by-step explanation:

y= -3x+10 y= -2x+6 what is x and y

Answers

Answer:

(4,-2)

Step-by-step explanation:

you could use substitution and all that, but i use desmos

Graph y=-2x+5y=−2x+5y, equals, minus, 2, x, plus, 5.

Answers

Answer:

Please check the graph of the function y=-2x+5 attached below.

Step-by-step explanation:

The slope-intercept form of the line equation

[tex]y = mx+b[/tex]

where

m is the slopeb is the y-intercept

Given the function

[tex]y=-2x+5[/tex]

comparing with the slope-intercept form of the line equation

The slope m = -2

The y-intercept b = 5

The graph of y=-2x+5 is attached below.

Determining the y-intercept from the graph

We know that the value of the y-intercept can be determined by setting x = 0 and determining the corresponding value of y.

From the graph, it is clear

at x = 0, y = 5

Thus, the y-intercept b = 5

Please check the graph of the function y=-2x+5 attached below.

Time
5 veares
Find the simple interest when
i) Principal = 22000, Rate of interest = 5% time = 5years​

Answers

Answer: Simple interest = $5,500

Step-by-step explanation:

Interest formula:

I = prt

Convert 5% to 0.05

I = 22,000 × 0.05 × 5 = 5,500

I = $5,500.00

A grocery store manger is ordering eggs. She orders a box of eggs with 5 trays. Each tray has 6 packs of y eggs each. How many eggs are in the box?

Answers

Answer:

30 eggs

Step-by-step explanation:

multiply 5 times 6

is my answer correct?

Answers

Answer:

not at all

Step-by-step explanation:

The temperature changed from 8 degrees to 3 degrees. How much did the temperature change by?

Answers

The answer should be 5 degrees. The temperature starts at 8 degrees and decreased to 3 degrees. Therefore you find the missing addend which in this case is 5 degrees. 8-3=5

Answer:

Step-by-step explanation:

5degrees

Find the sum by first finding the equivalent fractions so that both of the fractions have common denominators. Three eighths plus seven sixteenths equals blank thirteen sixteenths ten twenty fourths ten sixteenths four sixteenths

Answers

Answer:

thirteen sixteenths

Step-by-step explanation:

Three eighths plus seven sixteenths equals blank

3/8 + 7/16 = ?

= (2*3)+(1*7)/16

= (6+7)/16

= 13/16

13/16 is equivalent to thirteen sixteenths

What is y - 1 when y = 4?

A: 3

B: 2

C: 1

D: 0

PLZ HELP!

Answers

Answer:

A:3

Step-by-step explanation:

replace y by 4..so it would be 4-1=3

Answer: 3
Y-1=
(4)-1=3

Given the parent function f(x) = 2x, which graph shows f(x) + 1?

exponential function going through point 0, 2 and ending up on the right
exponential function going through point 0, 0 and ending down on the right
exponential function going through point 0, 0 and ending up on the right
exponential function going through point 0, 1.5 and ending up on the right

Answers

Answer:

Step-by-step explanation:

Please give me the correct answer ​

Answers

Answer:

It's not a right triangle because [tex]16^{2} + 18^{2} > 24^{2}[/tex]

Step-by-step explanation:

[tex]16^{2} + 18^{2} > 24^{2}[/tex]

[tex]16^{2} = 256\\\\18^{2} = 324\\\\256 + 324 = 580\\\\580>24^{2} \\\\24^{2} = 576\\\\580>576[/tex]

Hope this helped!!!!!

Solve for y:
-6+ 2y =12

Answers

Answer:

9

Step-by-step explanation:

-6+2y=12

+6 +6

2y=18

2 2

9

Simply please will give brainlist to first correct answer

Answers

The answer is a -2 -5i

Help me for 19 points please thank you

Answers

Answer:

Step-by-step explanation:

I hope you dont have to show your work because I am not showing how you do all of those aha.

part 1:

1. p=72, a= 612

2. p=194, a= 32.5

3. p=300, a= 1500

4. p=221, a= 35

and um... I dont know how to do part two. sorry

4 3/8 ÷ 1 3/8 = answer asap and correct

Answers

Answer:

3 2/11

Step-by-step explanation:

4 3/8 = 4 + 3/8 = 32/8 + 3/8 = 35/8

1 3/8 = 1 + 3/8 = 8/8 + 3/8 = 11/8

then:

4 3/8 ÷ 1 3/8 = (35/8) / (11/8) = 35/11

35/11 = 33/11 + 2/11 = 3 2/11

Answer:

[tex]4 \frac{3}{8} \div 1 \frac{3}{8} = \frac{35}{8} \div \frac{11}{8} = \frac{35}{8} \times \frac{8}{11} = \boxed{\frac{35}{11} }[/tex]

35/11 is the right answer.

You plan to purchase items for $4000 and will finance the cost with a fixed installment. The seller tells you that you will have to pay $100 per month for 48 months. (a) how much money will you pay for interest (ie the finance charge) (b) what is the interest percent rate? (c) If this loan is for 48 months, what should T be (in years)? Would you plug that into your equation

Answers

Answer:

800 ; 20% ; 4 years

Step-by-step explanation:

Actual price of item = $4000

Total amount paid in installment = ($100 * 48) = $4800

Finance charge = total amount paid in installment - actual price

Finance charge = $4800 - $4000 = $800

B) Interest percent rate, r :

r% of 4000 = 800

0.01r * 4000 = 800

40r = 800

r = 800/40

r = 20

r = 20%

C.)

Time in years ; for 48 months

T = 48/12 ; T = 4 years

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