a motorboat takes 5 hours to travel 150 Miles going Upstream. the return trip takes 3 hours going Downstream .what is the rate of the boat in still water and what is the rate of the current ?​

Answer:

[tex](g\circ f)(-1)=36[/tex]

Step-by-step explanation:

We are given the two functions:

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

And we want to find:

[tex](g\circ f)(-1)[/tex]

This is equivalent to:

[tex]=g(f(-1))[/tex]

So, evaluating f(-1) first, we acquire:

[tex]f(-1)=-(-1)+5=6[/tex]

Then by substitution:

[tex]=g(6)[/tex]

So:

[tex]=(6)^2=36[/tex]

Therefore:

[tex](g\circ f)(-1)=36[/tex]

Your answer is indeed correct.

Answer:

please refer to the above attachment.

Answer:

a. 4 : 1

b. 2 students

c. 3 : 1

Step-by-step explanation:

a. There were 12 students who got a C and 3 students who got As. The ratio is therefore:

12 : 3

Take it to the lowest form by dividing both sides by 3:

= 4 : 1

b. There were 4 students with a D grade and 8 with a B. The ratio is:

= 4 : 8

Taken to the lowest form that would be:

= 1 : 2

This means that for every student receiving a D, 2 students received an A.

c. 12 students received a C and 4 students received a D. That ratio is therefore:

= 12 : 4

Take to the lowest form by dividing both sides by 4:

= 3 : 1

Answer:

c. 39 miles per hour

Step-by-step explanation:

If you look at the graph, each hour has a marking of an interval of 39, starting at (1,39).

(hope this helps-and math gets better)

Answer:

1.76%

Step-by-step explanation:

Given

Original price of the book = $21

Price after sales percentage = $20.63

Discount = 21-20.63

Discount = $0.37

sale tax percentage = discount/original price × 100%

sale tax percentage = 0.37/21 × 100

sale tax percentage = 37/21

sale tax percentage = 1.76%

Hence the sale tax percentage is 1.76%

Answer:

129 IS THE ANSWER

Step-by-step explanation:

Answer: A.)Jillian’s car holds more gasoline and gets better gas mileage

Answer:

12 onces of yellow paint should be use

Step-by-step explanation:

3:5

= 3 x 4 =12    and   = 5 x 2 = 20

Answer:

12:20

Step-by-step explanation:

12:20, to have 3:5 get to ?:20 you need to see how many times 5 can go into 20 (4) then you multiply 3x4 to get 12. so 12:20

Answer:

B

Step-by-step explanation:

B is the only choice that has both all of the steps, and all of the steps in the right order.

Answer:

21

Step-by-step explanation:

Answer:

A-219.75

Step-by-step explanation:

Answer:

$219.75

Step-by-step explanation:

The profit is the difference between the income and costs, which in this example would be $345.25 - $125.50 = $219.75

Answer:

The answer is C

Step-by-step explanation:

The answer is A

as the x+ 4 is when we replace x with 0

x=0

so

y=0+4

=4

So the line of y must intersect at (0,4) coordinate

which is given as in A and should be a positive slope

Answer:

When estimating area, count the squares that cover the shape. When estimating perimeter, count the unit lengths that are around the shape.

Step-by-step explanation:

your welcome

Answer:

When estimating area, count the squares that cover the shape. When estimating perimeter, count the unit lengths that are around the shape.

Step-by-step explanation:

Credit to the guy above.

Answer:

Given: Water in a reservoir dropped by 60%

Step-by-step explanation:

let the total water level of reservoir be 100.

then, in first year

the water reservoir dropped = 60% of 100

                                               =[tex]\frac{60}{100}[/tex] * 100

                                               = 60

therefore, total water level needed to be restored till next year= 100

remaining water level to restore till next year= 100-60

                                                                           =40

                                                       percentage= [tex]\frac{40}{100}[/tex] * 100

                                                                         =40%

Answer:

1/7in=1/14min

14/7in=min

2in=min

the rate is 2 inches per minute.

Step-by-step explanation:

Answer:

The answer is 2.

Step-by-step explanation:

First you have to change 1/7 divided by 1/14 like this: 1/7 times 14/1.

Second solve the equation, 1/7 x 14/1 = 14/7 = 2.

Thank you for reading this, I hope this was helpful.

Answer:

You can graph them on desmos and see which is a linear (literally looks like a line)

Step-by-step explanation:

9514 1404 393

Answer:

  32 = (x) +(2x -5) +(2x -3)

Step-by-step explanation:

The perimeter is the sum of the side lengths:

  P = a + b + c

  32 = (x) +(2x -5) +(2x -3)

__

This can be simplified to ...

  32 = 5x -8

and solved to find x:

  x = (32 +8)/5 = 8

Answer:

The equation to represent the account balance in t years

[tex]A\:=\:P\left(1\:+\:\frac{r}{n}\right)^{2t}[/tex]

Step-by-step explanation:

Given the compound interest equation

[tex]A\:=\:P\left(1\:+\:\frac{r}{n}\right)^{nt}[/tex]

here

A represents Accrued Amount (principal + interest)

P represents Principal Amount

I represent Interest Amount

r represents the Annual interest rate

t represents Time Involved in years

n represents the number of compounding periods per unit t

As we are given that the interest is compounded semi-annually

i.e. n = 2

so substituting n = 2 in the equation

[tex]A\:=\:P\left(1\:+\:\frac{r}{n}\right)^{nt}[/tex]

[tex]A\:=\:P\left(1\:+\:\frac{r}{n}\right)^{2t}[/tex]       ∵ n = 2

Thus, the equation to represent the account balance in t years

[tex]A\:=\:P\left(1\:+\:\frac{r}{n}\right)^{2t}[/tex]

Step-by-step explanation:

the option that you've chose.

it's the correct answer!

have a good day :)

Answer:

The answer is D. number 4.

Answer:

3

Step-by-step explanation:

by the way i love your profile picture

Answer:

See Explanation

Step-by-step explanation:

The rectangle is not shown. To solve this question, I'll make use of the attachment.

Apply the same steps, and you'll get the answer to your question.

From the attachment, we have:

[tex]Rows = 3[/tex]

[tex]Columns = 4[/tex]

Since the length of each square is 1 cm, then

[tex]Row = 3cm[/tex]

[tex]Column = 4cm[/tex]

So, the area is:

[tex]Area = Row * Column[/tex]

[tex]Area = 3cm * 4cm[/tex]

[tex]Area = 12cm^2[/tex]

Step-by-step explanation:

Given an expression that represents a submarine that began at a depth of 15 feet below sea level and ascended at a rate of feet per minute is as follows :

-320+15y

We need to find the depth of submarine after 15 ​minutes.

Put y = 15 in the above expression.

-320+15y = -320+15(15)

= -320 + 225

= -95

Hence, the submarine is below sea level at 95 feet.

Answer:

lw/4

Step-by-step explanation:

Area of a rectangle = length × width

= l × w

Area of a rectangle = let

reduce the area of his rectangular garden by one-fourth

= 1/4 * lw

= 1/4lw

What is another way to write this expression?

Another way to write the expression is

= 1/4 * lw

= lw / 4

Answer: 0.45

Step-by-step explanation:

(no 2 and 4) 15%+30% = 45%

45/100 = 0.45

Answer:

1014.73 in³/s

Step-by-step explanation:

We know the volume of a cylinder, V = πr²h where r = radius of cylinder and h = height of cylinder.

Now, to find the rate of change of volume, we differentiate it with respect to time. So

dV/dt = d(πr²h)/dt

= πhdr²/dr × dr/dt + πr²dh/dh × dh/dt

= 2πrh × dr/dt + πr² × dh/dt

when r = 17 in, dr/dt = rate of change of radius = + 7 in/s, h = 5 in and dh/dt = rate of change of height = - 3in/s (negative since it is decreasing).

So, dV/dt = 2πrh × dr/dt + πr² × dh/dt

= 2π × 17 in × 5 in × (+ 7 in/s) + π(17 in)² × (- 3 in/s)

= 1190π - 867π

= 323π in³/s

= 1014.73 in³/s

Answer:

Esther's is more expensive

Step-by-step explanation:

2 dollars per soda

Brainly plss

Answer:

that is true

Step-by-step explanation:

i think it's help

Step-by-step explanation:

The advertising are telling the truth value of this questions

Answer:

2. 260

3. 16

4. 71

5. 47

6. 137

8. 23

Step-by-step explanation: