At a model rocket competition, Mrs. Jennings launches a rocket is launched upward
from the ground with an initial velocity of 138 feet per second.
The formula for vertical motion is
h(t) = 0.5at? + vt +s, where the gravitational constant, a, is -32 feet per second squared, v
is the initial velocity, and s is the initial height. Time t is measured in seconds, velocity
v is measured in feet per second, and heights h and s are measured in feet.
Write the function that describes the height, h in feet, of the rocket l seconds into
launch

9514 1404 393

Answer:

  see attachments for a table and graph

Step-by-step explanation:

I find it convenient to use a graphing calculator or spreadsheet to do repetitive computations reliably.

__

Your specific question asks for h(0):

  h(0) = -|0 +2| +1 = -2 +1

  h(0) = -1

You may want to check your other table values.

Step-by-step explanation:

x/y=constant

12/4=3

x/1=3

x=3

Here, if x varies directly as y. When y=1, then x=3.

Given that, x varies directly as y.

Proportion, in general, is referred to as a part, share, or number considered in comparative relation to a whole. Proportion definition says that when two ratios are equivalent, they are in proportion. It is an equation or statement used to depict that two ratios or fractions are equal.

If x= 12 when y= 4

Here, x varies directly as y is x∝y

⇒ x=ky

⇒ 12=k(4)

⇒ k=3

So, x=3y

When y=1, we have

x=3(1)

⇒ x=3

Here, if x varies directly as y. When y=1, then x=3.

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Answer:

where is the equation? And I will help.

Step-by-step explanation:

Answer:

i cant answer if there is no problome

Step-by-step explanation:

Answer:

What do you need done?

Step-by-step explanation:

Answer:

yes

Step-by-step explanation:

yes yes yes yes yes teehee

12 is its average rate of change from x = 2 to x = 10.

Division is the process of splitting a number or an amount into equal parts. Division is one of the four basic operations of arithmetic, the ways that numbers are combined to make new numbers. The other operations are addition, subtraction, and multiplication.

here, we have,

Given the function defined by y = x^2

now,

its average rate of change from x = 2 to x = 10,=

=10^2-2^2/10-2

=100-4/8

96/8

=12

Hence, 12 is its average rate of change from x = 2 to x = 10.

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Answer:

=−12y+11.7 I believe it's that but I am not completely sure

I believe it is

Answer: 65°

Step-by-step explanation: We are assuming that these lines are ║.

If two parallel lines are cut by a transversal,

then alternate interior angles are congruent.

Since x and 65 lie on alternate side of the transversal and

on the interior of the two lines, we know that x = 65.

hi

5 for  49  means    : 49/5   =  9+4/5 = 9.80 each

8 for  59.50   means     59.50/8 ≈  7.44

second offer is the best deal

Answer:

7.6158

Step-by-step explanation:

Answer:

14.98

Step-by-step explanation:

1

8.78

6.20

---------

14.98

Answer:

14.98

Step-by-step explanation:

8.78

+6.2

--------

14.98

you want to imagine 6.2 like 6.20

so...

8.78

+6.20

----------

14.98

the 8 goes down 7+2=9 the (.) goes down 8+6=14 14.98

hope this helps :)

Answer:

Slope = undefined

Step-by-step explanation:

Slope = (y2 - y1)/(x2 - x1)

(6, 1)

(6, -6)

1 - (-6)/6 - 6= 7/0

Slope = undefined

For reference:

0/x = 0

x/0 = undefined

Hope this helps!

Answer:

Again assuming we're cleared for immediate take off, it takes around 20 minutes to climb to cruise altitude, at an average ground speed of (say) 200 knots. This means we've covered about 70 miles, which the cruising aircraft would have covered in just over 10 minutes. So this final phase has cost us another 10 minutes

Answer:

A. (3/4) : (1/8)

Travis must add 6 cups of sugar to maintain the ratio.

B. Travis must multiply the ratio of all other ingredients by 8.

C. (3/8) : (1/8)

Travis must add 3 cups of blueberries to maintain the ratio.

Step-by-step explanation:

A.

3/4 * 8

24/4

6 cups of sugar to maintain the same ratio.

B. 1/8 turned into 1 so that means it was multiplied by 8

C. 3/8 are blueberries and 1/8 is butter

(3/8) * 8

3

This took a long time to do... reward?

Answer:

-5x -12

Step-by-step explanation:

BRAINLIEST PLEASE

Answer:

T=-11

Step-by-step explanation:

y2-y1/x2-x1

=t-(-1)/9-10

=t+1/9-10

=t+1/-1

=-11+1/1

=-10/1

=-10

Hope this helps :)

Points scored by Adam, Bethany and Charles are 25, 17 and 30 respectively.

Algebra is a study of mathematical expressions, in which numbers and quantities are represented in formulas and equations by letters and other universal symbols.

Given that,

Adam scored 8 more points than Charles,

And Bethany scored 5 more points than Adam.

Also, total score is 72.

Let points scored by Adam is x,

Then point scored by Charles = x-8,

And point scored by Bethany = x+5.

Since, total score = 72

x + x-8 + x+5 = 72

3x - 3 = 72

3x = 75

x = 25

Points scored by Adam is x = 25,

Point scored by Charles = x-8 = 17,

And point scored by Bethany = x+5 = 30.

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Answer:

1.3

Step-by-step explanation:

Just divide the top by the bottom.

Answer:

1.3

Step-by-step explanation:

If we divide 13 by 10, our answer is 1.3. This makes sense since the proper fraction would be 1 & 3/10 (one and three-tenths.) Three-tenths is equal to 30% or 0.3.

Answer:Remember -- the sum of the degree measures of angles in any triangle equals 180 degrees. ... So, the measure of angle A + angle B + angle C = 180 degrees. ... If a triangle is equilateral, what is the degree measure of each of its angles?

Step-by-step explanation:

Answer-

the sum of the degree measures of angles in any triangle equals 180 degrees. ... So, the measure of angle A + angle B + angle C = 180 degrees. ... If a triangle is equilateral, what is the degree measure of each of its angles?

Answer:

D. About 2700 in^2

Step-by-step explanation:

The area of a circle A = πd²/4 where d = diameter of circle.

A/d² = π/4 = k the proportionality constant.

So, A₁/d₁² = A₂/d₂² Now for circle A, Area = A₁ = 300 in² and diameter = d₁ = 20 inches. For circle B, Area = A₂ = unknown and diameter = d₂ = 60 inches.

So, we have

A₁/d₁² = A₂/d₂²

A₂ = A₁d₂²/d₁²

A₂ = A₁(d₂/d₁)²

substituting the values of the variables, we have

A₂ = 300 in²(60 in/20 in)²

A₂ = 300 in²(3)²

A₂ = 300 in²(9)

A₂ = 2700 in²

So, the area of circle B is about 2700 in²

Answer:

10 pounds of raisins and 10 pounds of peanuts.

Step-by-step explanation:

Let c represent the pounds of chocolate covered raisins.

Let p represent the pounds of peanuts.

We know that the raisins cost $1.50 per pound and the peanuts cost $1.20 per pound.

Ameenah wants to make 20 pounds of a mixture of the raisins and peanuts that sells for 1.35 a pound. So, we can write the following expression:

[tex]1.5c+1.2p[/tex]

This represents the cost given c pounds of raisins and p pounds of peanuts.

Ameenah wants to combine c and p to make them 1.35 per pound. In other words, the expression must equal:

[tex]1.5c+1.2p=1.35(c+p)[/tex]

We also know that she wants to make 20 pounds. So, c plus p must total 20. Therefore:

[tex]c+p=20[/tex]

We now have the system of equations:

[tex]\left\{ \begin{array}{ll} 1.5c+1.2p=1.35(c+p) \\ c+p=20\end{array}[/tex]

First, since we know that c+p is 20, we can substitute that into the first equation.

Second, let's subtract p from both side for the second equation to isolate a variable. So:

[tex]c=20-p[/tex]

Let's now substitute this into the first equation:

[tex]1.5(20-p)+1.2p=1.35(20)[/tex]

Distribute:

[tex]30-1.5p+1.2p=27[/tex]

Combine like terms:

[tex]-0.3p+30=27[/tex]

Subtract 30 from both sides:

[tex]-0.3p=-3[/tex]

Divide both sides by -0.3. So, the amount of peanuts needed is:

[tex]p=10[/tex]

10 pounds of peanuts is needed.

This means that 20-10 or 10 pounds of raisins is needed.

Answer:

10 pounds of both raisins and peanuts.

Step-by-step explanation:

Answer:

y = 6

Step-by-step explanation:

2(y - 3) = y

2y - 6 = y

y = 6

Hope that works out :)

Answer:

B

Step-by-step explanation:

Don't know how to type those here so see attachment

Answer:

x = √29

Step-by-step explanation:

a^2 + b^2 = c^2

5^2 + 2^2 = c^2

25 + 4 = c^2

29 = c^2

√29 = √c^2

√29 = c

x = √29

Answer:

75

Step-by-step explanation:

The answer is 75 because you have to cross mutiply:

1       3

25     x

3 x 25 is 75

Answer:

13:  312yd squared

14: 907.5 rounded up but not rounded is 907.46

Step-by-step explanation:

this is because the formula is pi*r^2  so you'd

Step by step:

1. 20yd/2= 10 to get the radius for 13

2. substitute r in the formula pi*r^2 for 10 making it pi*10^2

3. multiply 10 by itself, 10*10=100

4. multiply pi by 100, 3.14*100= 314

314yd^2 is the answer for 13

14:

1. 34ft/2=17 to get the radius for 14

2. substitute r on the formula pi*r^2 for 17 making it pi*17^2

3. multiply 17 by itself, 17*17=289

4. multiply pi by 289, 3.14*289=907.46

5. round 907.46 to the nearest tenth, 907.5

907.5ft^2 is your answer

hope this helps :)

Answer:

the answer is A

Step-by-step explanation:

A = 4/3x-5

Answer:

Step-by-step explanation:

B

Answer:

x + 2

Step-by-step explanation:

Replace the x with y.

Making is x = y -2

Solve for x=y-2

and you get x+2

Answer:

x+2

Step-by-step explanation:

When doing inverse functions, you switch the x and y.

x = y-2

Then you solve for y (add the 2 to the other side to get "y" by itself)

y = x+2

Answer: Perpendicular

Step-by-step explanation: Took the quiz :)