2. If a toy rocket is launched vertically upward from ground level with an initial velocity of 128 feet

per second, then its height h after t seconds is given by the equations h(t) = -16° +128t (if air

resistance is neglected).

a. How long will it take for the rocket to return to the ground?

b. After how many seconds will the rocket be 112 feet above the ground?

C. How long will it take the rocket to hit its maximum height?

d. What is the maximum height?

Answer:

4.9×10⁴

Step-by-step explanation:

Answer:

vertex is (3,-4)

axis of symmetry is x=3

the Domain is all real numbers

the Range is all real numbers greater than or equal to -4

when x < 3, y increases as x decreases

when x > 3, y increases as x increases

Please mark as brainliest if this helped!

Answer:

1: two sides and angle of one triangle are congruent.

Step-by-step explanation:

The triangles are congruent because two sides and the generated angle of a triangle correspond to their respective sections. If two angles and the side used in one triangle are identical.

Hope this helps

Answer:

sin (theta) = [tex]\frac{\sqrt{15} }{8}[/tex]

cos (theta) = [tex]\frac{7}{8}[/tex]

tan (theta) = [tex]\frac{\sqrt{15} }{7}[/tex]

cot (theta) = 7 square root 15/15

sec (theta) = [tex]\frac{8}{7}[/tex]

csc (theta) = 8 square root 15/15

Step-by-step explanation:

Answer:

graph A.

Step-by-step explanation:

So, y = 1/2x - 2 is only graphed in A and D.

And x ≤ 6 is only graphed in graph A.

The graph of the piecewise function is the first graph (counting from the top).

Here we have a piecewise function:

f(x) = 0.5*x - 2  if x ≤ 6

f(x) = -x - 1   if x > 6

So, we have an increasing line for x smaller or equal than 6, and a decreasing line for x > 6. Such that we should to have a closed dot at the end of the increasing line, because in that part we have the symbol ≥, meaning that x = 6 belongs to that part.

Then the correct graph is the first option.

If you want to learn more about piecewise functions:

https://brainly.com/question/3628123

#SPJ2

Answer:

14. A

15. C

16. B

17. B

Step-by-step explanation:

Answer:

C; D; B; B

Step-by-step explanation:

14) 1/((1/4) + (1/7)) = 1/(11/28) = 28/11 (C)

15) 1/((1/x) + (1/3x)) = 3--> (1/x) + (1/3x) = 1/3 --> 4/3x = 1/3 --> x = 4 (D)

16) 56 - 28 = 28 --> 28/(4*2) = 3.5 hours --> 56/3.5 = 16mph (when adding the stream's speed)--> 16mph - 4mph = 12mph (B)

17) 540 - 480 = 60 --> 60/(9*2) = 10/3 hours --> 540/(10/3) = 162 (when adding the current) --> 162mph - 9mph = 153mph (B)

Answer:

Step-by-step explanation:

The problem states

Let's call [tex]x[/tex] one kilogram bananas and [tex]y[/tex] one kilogram oranges. The cost is related by

[tex]x=2y[/tex]

Also, we know by given

[tex]45x+30y=360[/tex]

Replacing the first equation into the second one, we have

[tex]45(2y)+30y=360\\90y+30y=360\\120y=360\\y=\frac{360}{120}\\ y=3[/tex]

Then, we find the other value

[tex]x=2(3)=6[/tex]

Therefore, one kilogram of oranges cost $3.

Answer:

square

Step-by-step explanation:

when multiplied by itself the number is squared

Answer:

d:126.8

Step-by-step explanation:

How to Find the Mean

Add up all data values to get the sum

Count the number of values in your data set

Divide the sum by the count

The mean is the same as the average value in a data set.

Answer:

Step-by-step explanation:

Antelope, Montana:  

    21, 30, 42, 58, 70, 79

Range- 58     79-21= 58

Quartile 1- 30

Quartile 3- 70

Interquartile Range- 40     70-30= 40

Augusta, Maine:

    28, 32, 41, 53, 66, 75

Range- 47

Quartile 1- 32

Quartile 3- 66

Interquartile Range- 34

Answer:

A

Step-by-step explanation:

3 times 3 plus 1 is 10 which makes it greater than 7

Answer:

B

Step-by-step explanation:

[tex]3m-1>7-1\\3m>6\\3m/3>6/3\\m>2[/tex]

Answer:

[tex] \boxed{(fg)(x) = 16 {x}^{4} + 72 {x}^{3} - 39 {x}^{2} + 5x} [/tex]

Given:

[tex]f(x) = 4{x}^{2} + 19x - 5 \\ \\ g(x) = {4x}^{2} - x[/tex]

To Find:

[tex] (fg)(x) = f(x) \times g(x)[/tex]

Step-by-step explanation:

[tex] = > f(x) \times g(x) = (4 {x}^{2} + 19x - 5)( {4x}^{2} - x ) \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 4 {x}^{2} (4 {x}^{2} - x) + 19x(4 {x}^{2} - x) - 5(4 {x}^{2} - x) \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: =16 {x}^{4} - 4 {x}^{3} + 76 {x}^{3} - 19 {x}^{2} - 20 {x}^{2} + 5x\\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: =16 {x}^{4} + 72 {x}^{3} - 39 {x}^{2} + 5x[/tex]

Answer:

Step-by-step explanation:

Answer:

-2.0, hope it helps

please make me brainliest

Step-by-step explanation:

-12 - 42 = - 6

-54 = - 6

-54 + 6 = - 48

I think 1 solution

Answer:

a) WCK, WTM, WTK, BCM, BCK, BTM, BTK.

b) 1/4

Step-by-step explanation:

a)

For this answer we just need to write all possibilities of sandwiches, so we can use the options given to create all the sandwiches, besides the one given:

(WCM given), WCK, WTM, WTK, BCM, BCK, BTM, BTK.

b)

From the letter a), we have 8 possible options. From these options, we have 2 that have turkey and ketchup (WTK and BTK), so the probability is the number of options we want over the total number of options:

P = 2/8 = 1/4

Answer:

4

Step-by-step explanation:

1/3 of 30 is 10

2/5 of 10 is 4

Answer:

The answer is 224.

I got it right on the quiz.

Answer:

10.5 cm

Step-by-step explanation:

Volume = base area × height

798 = (9.5 × 8) × height

height = 798/76

height = 10.5

Answer:

The answer is 10.5

Step-by-step explanation:

I got it correct on edge 2021

Answer:

C. (-3, -10)

Step-by-step explanation:

First label the 2 equations.

y=5x +5 -----(1)

x= -3 -----(2)

subst. (2) into (1):

y= 5(-3) +5

y= -15 +5 (expand)

y= -10 (simplify)

Thus, the answer is (-3, -10).

Answer:

THe answer is C

Step-by-step explanation:A

As seen by the last answer when we substitute the variable we can get (-3,-10)

x=-3------(2)

y=5x+5-----(1)

y=5(-3)+5

y=-15+5

y=-10

so (-3,-10) is the correct answer

We have been given that in triangle ABC angle A=45 angle B =40 and a=7. We are asked to find the equation that we can use to solve for 'f'.

We have two angles and opposite sides to these angles.

We will use Law of Sines to solve our given problem.

[tex]\frac{a}{\sin(A)}=\frac{b}{\sin(B)}=\frac{c}{\sin(C)}[/tex], where a, b and c are opposite sides corresponding to angles A, B, and C respectively.

The angle opposite to side b is 40 degrees and angle opposite to side a is 45 degrees.

Upon substituting these values in Law of Sines, we will get:

[tex]\frac{7}{\sin(45^{\circ})}=\frac{b}{\sin(40^{\circ})}[/tex]

Therefore, our required equation would be [tex]\frac{7}{\sin(45^{\circ})}=\frac{b}{\sin(40^{\circ})}[/tex].

Let s represent the number of sofas and e  represent the amount earned.

We have been given that Mr. Gilmore sells furniture. He earned $210 for selling 3 sofas. Mr. Gilmore  earned $570 for selling 11 sofas. We are asked to write the equation for given scenario.

We have two points on a line that are (3,210) and (11,570).

Let us find slope of line passing through these points.

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

[tex]m=\frac{570-210}{11-3}[/tex]

[tex]m=\frac{360}{8}[/tex]

[tex]m=45[/tex]

Now we will use point-slope form of equation.

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

m = Slope,

[tex](x_1,y_1)[/tex] = Any point on line.

[tex]y-210=45(x-3)[/tex]

[tex]y-210=45x-135[/tex]

[tex]y-210+210=45x-135+210[/tex]

[tex]y=45x+75[/tex]

Since amount earned is e and number of sofas is s, so our equation would be [tex]e=45s+75[/tex].

Therefore, our required equation would be [tex]e=45s+75[/tex].

Answer: 9

Step-by-step explanation:

x-3y

(3)-3(-2)

3+6

9

It is D i took the test!

Answer:

Step-by-step explanation:

Answer: A ) She only used the additive inverse of 10m when combining like terms .

Step-by-step explanation:

Holly only used the additive inverse of 10m when combining like terms. The equality is erroneous because the equation was evaluated well. The calculations should be as follows:

11m -13n + 6mn - 10m + 7n - 3mn = 1m - 6n +3mn

She should have subtracted 13n and 7n then take the negative value. Also, subtract 6mn and 3mn.

Answer:

A

Step-by-step explanation:

i took test

Answer:

(3,5)

Step-by-step explanation:

Porque entre 10 e 0 e 8 e -2, existe um espaço 10, então para saber como coordenadas basta adicionar 5 a -2 e 0, e assim fica 3 e 5

Answer:

it would be 4. c=.72n as you need to find how much each notebook sells for and then N would be your variable so that would tell you how many of something that someone got.

Step-by-step explanation:

Answer:

The range is 96.

Step-by-step explanation:

The definition of range is "The range of a set of data is the difference between the highest and lowest values in the set. To find the range, first order the data from least to greatest. Then subtract the smallest value from the largest value in the set." So subtract the highest value from the smallest value,  and you get 96. pls mark brainliest.

Hope this helps.

Hello !

first, we need to find the smallest and the biggest number on the list:

4, 8, 13, 18, 22, 22, 47, 70, 77, 100

so it's 4 and 100

we substract the smallest from the biggest number :

100 - 4 = 96

96 is the range

× × i hope i helped you ! × ×

Answer:

umm is there something else we need to see

Answer:

60°

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

Answer:

Dear mate your answer is 60

Answer:

12

Step-by-step explanation:

1. Write out s+14=26

2. Subtract 14 by both sides to isolate s.

3. s = 12

Answer:

s = 12

Step-by-step explanation:

s + 14 = 26

  - 14   - 14         Subtract 14 from both sides

s = 12

Plug this back into the equation to make sure it works

12 + 14 = 26        Add

26 = 26               This solution does work

Answer:

27/8 or 3 and 3/8

Step-by-step explanation: