find equation of the line shown​

Answer:

5.76 seconds

Step-by-step explanation:

We are given;

Position of rock from ground level; h(t) = 9 m

Height of cliff;h_0 = 45 m

Velocity;v_0 = 22 m/s

To solve for the time, we will use the gravity formula which is;

h(t) = (-1/2)gt² + (v_0)t + h_0

Plugging in the relevant values to get;

9 = (-1/2)(9.81)t² + 22t + 45

Subtract 9 from both sides to get;

-4.905t² + 22t + 45 - 9 = 0

-4.905t² + 22t + 36 = 0

Finding the roots of the equation through quadratic formula gives;

t = 5.76 or -1.27

t cannot be negative, so we will use the positive value to get;

t = 5.76 s

Thus, the rock will be 9m from the ground level after 5.76 seconds

Answer:

Probability of having broken glass =  0.1933

Probability of not having broken glass = 0.8067

Step-by-step explanation:

The Treatment table in the file attached to the given question is written out and completed below;

                                                  Treatment

Response       Smashed into             Hit                 Control       Total

      Yes             16                               7                        6             29

       No             34                              43                     44            121

Total:                  50                            50                     50           150

Using relative frequencies,

the distribution of responses about whether there was broken glass at the accident for the subjects in this study can be computed as follows:

Probability of having broken glass = [tex]\dfrac{29}{150}[/tex]

Probability of having broken glass =  0.1933

Probability of not having broken glass = [tex]\dfrac{121}{150 }[/tex]

Probability of not having broken glass = 0.8067

Answer:

d: distributive

Step-by-step explanation:

8 ( 8 + 7 ) = 6 x 8 + 6 x 7, it may seem like commutative, except it pulls the parentheses  out making it distributive.

Answer:

{x is a set of Z, x<-3}

Step-by-step explanation:

Z-integer

Hey there! I'm happy to help!

All of the sides of a square are the same. Therefore, to find the area, you multiply the side by itself. Multiplying a number by itself is conveniently called squaring.

Doing this backwards is called finding the square root. If you have an area of 64, you square root it, showing you that the sides are 8.

Therefore, the side length here is √94.

If we put √94 into the calculator, we see that it is 9.895359715.....

That number never ends and it goes on in no particular order, so it cannot be written as a fraction of two integers and therefore is not a rational number.

Have a wonderful day! :D

Answer:

[tex]\dfrac{1}{14}[/tex].

Step-by-step explanation:

It is given that,

Red marbles = 3

Blue marbles = 7

Orange marbles = 5

Total marbles = 3+7+5 = 15

Probability of getting a red marble is

[tex]P(Red)=\dfrac{\text{Red marbles}}{\text{Total marbles}}[/tex]

[tex]P(Red)=\dfrac{3}{15}[/tex]

[tex]P(Red)=\dfrac{1}{5}[/tex]

If a marble is drawn from the bag and not replaced. So remaining marbles is 15-1=14. Now,

Probability of getting an orange marble is

[tex]P(orange )=\dfrac{\text{Orange  marbles}}{\text{Total remaining marbles}}[/tex]

[tex]P(orange)=\dfrac{5}{14}[/tex]

Now,

[tex]P(\text{red then orange})=P(Red)\times P(orange)[/tex]

[tex]P(\text{red then orange})=\dfrac{1}{5}\times \dfrac{5}{14}[/tex]

[tex]P(\text{red then orange})=\dfrac{1}{14}[/tex]

Therefore, the required probability is  [tex]\dfrac{1}{14}[/tex].

Answer:

  1.5, -8, 0, 2f, 2/3

Step-by-step explanation:

j(x) = 2x means the function name is j, and it is a function of the variable x. To evaluate the function, you put the given value everywhere you see x, and do the arithmetic.

  j(0.75) = 2(0.75) = 1.5

  j(-4) = 2(-4) = -8

  j(0) = 2(0) = 0

  j(f) = 2f

  j(1/3) = 2(1/3) = 2/3

Answer:

2

Step-by-step explanation:

since it takes 1/3 to make one batch then you have 2/3 it means yesterday they made 2 batches

Answer:

See below.

Step-by-step explanation:

"The cost, c, to have dinner at Jack's Cafe is at most $25."

In other words, the cost can not go above $25.

This means that the cost c will always be less than or equal to $25.

So, our answer is:

[tex]c\leq 25[/tex]

Or the second choice.

And we're done!

32.50 - (7.50*2) = 17.50

17.50 / 2.50 = 7

Answer:

-4

Step-by-step explanation:

=> -|-12+20-5-7|

=> -|-4|

=> -4

Answer:

no

Step-by-step explanation:

they do not form a proportion because they are not equivalent to each other.

Answer:

26%, 26/100

Step-by-step explanation

The total students will your denominator, and the number "out of" the total will be your numerator, so the fraction is 26/100. Next, convert the fraction into a decimal by dividing 26 by 100, making it 0.26. To convert a decimal into a percent, move the decimal two places to the right, ie, 0.26 becomes 26%.

Answer:

74/100 and 74%

Step-by-step explanation:

Answer:

The answer is x = 9

Step-by-step explanation:

(1/3)*x+4 = x-2 // - x-2

(1/3)*x-x+2+4 = 0

6-2/3*x = 0 // - 6

-2/3*x = -6 // : -2/3

x = -6/(-2/3)

x = 9

Answer:

He ate 0.5 strawberry

Step-by-step explanation:

4÷8 or 4×(1/8) =0.5 strawberry

Edit 1: Typo

Answer:

1/2 or half a strawberry

Step-by-step explanation:

1/8*4

Answer:

g(-2) = 0

g(3.14) = 21.2796

Step-by-step explanation:

Simply substitute the values for x.

Step 1: Find g(-2)

g(-2) = (-2)² + 3(-2) + 2

g(-2) = 4 - 6 + 2

g(-2) = -2 + 2

g(-2) = 0

Step 2: Find g(3.14)

g(3.14) = (3.14)² + 3(3.14) + 2

g(3.14) = 9.8596 + 9.42 + 2

g(3.14) = 19.2796 + 2

g(3.14) = 21.2796

Answer:

30 meters per second

Step-by-step explanation:

Step 1:

600 ÷ 20 = 30

Answer:

30 meters per second

Hope This Helps :)

Answer:

30 m /s

Step-by-step explanation:

We are looking for the speed

d/t = speed

600m / 20 second

30 m /s

Answer:

C and B.

Step-by-step explanation:

f(x) = 4 - x^2.

The degree of f(x) is 2, which means it is a quadratic graph. The coefficient of x^2 is negative, which means the curve is pointing downwards. The only curve that satisfies this is Graph C.

f(x) = 2^x + 5.

Notice that 2^x is positive for all real values of x. Therefore the answer is Graph B.

Answer:

Alice is 33 years old.

Step-by-step explanation:

Alice is 3 more than twice Emma's age:

E = Emma

A = Alice

A = 3 + 2E

Sum = 48 years

So,

A + E = 48

(3+ 2E) + E = 48

3 + 2E + E = 48

3 + 3E = 48 (-3 both sides)

3E = 45

E = 45/3

E = 15

Emma is 15 years old.

A = 3 + 2E

A = 3 + 2(15)

A = 3 + 30

A = 33

Alice is 33 years old.

Answer:

108/5

Step-by-step explanation:

Answer:

-22

Step-by-step explanation:

because -21.6 rounded to the next whole number is rounded to -22 because of the 6 in the number, which is larger than 5 so it passes to the next highest number.

Answer:

288

Step-by-step explanation:

To simplify use the mnemonic device PEMDAS (parenthesis, exponent, multiplication, division, addition, subtraction)

First simply -6 and 13 (since they are in the parenthesis)

-11+5+6(7)^2

Now find out what 7^2 is

-11 + 5 + 6(49)

Next multiply 6 and 49 (294)

Lastly add 5 then subtract 11 from it

299-11

288

Answer:

Hello! :) I hope I am correct!

Step-by-step explanation:

(The answer should be 288)

Below is the steps!!

Steps:

⇒-6+6(-6+13)^2

⇒-6+6(7^2)

⇒-6+(6)(49)

The answer would be 288 if you solve this equation.

The last step:

⇒-6+294

Which equals 288

Therefore your answer would be 288.

Hope this helps!

By:BrainlyAnime! ^-^

(Just in case you didn’t understand, I attached a picture!)

Given :

An adults heart beats about 2100 times every 30 minutes.

A baby beats about 2600 times every 20 minutes.

To Find :

How many more heart beat baby have than adult in 60 min .

Solution :

Now , total number of heart beats of adult in 60 min , [tex]T_a=2100\times 2=4200[/tex]

Also , total number of heart beats of adult in 60 min , [tex]T_b=2600\times 3=7800[/tex]

Difference between them , [tex]7800-4200=3600[/tex] beats .

So , baby have 3600 more heart beats than adult .

Hence , this the required solution .

Answer:

Least Common Multiple of 3 , 4 and 7 is 84 .

Step-by-step explanation:

Answer:

your answer is 20

hope this helped you

please mark as the brainliest (ㆁωㆁ)

Step-by-step explanation:

in this problem, we are expected to convert from miles per hour to feet per second

a). What is her speed in miles per hour?

we know that speed= distance/ time

given that

distance= 26.2 mile

time= 5 hours

substitute and solve for speed we have

speed= 26.2/5

speed= 5.24 miles per hour

b) What is her speed in feet per second?

1 mile per hour is 1.46667 feet per second

5.24 miles per hours will give x

cross multiply to solve for x we have

x= 5.24*1.46667

x= 7.68 feet per seconds

Answer:

c=-5

Step-by-step explanation:

Answer:

Let the unknown number be x ;

[tex]2(x) +31\\=2x+31[/tex]

Step-by-step explanation: