Frank decided to keep track of his sleep using a fitness tracker. He was surprised to
learn that there was 21 minutes of awake time during the seven hours when he was
supposed to be asleep at night. What percentage of the seven hours was Frank awake during the night?
%

Answer:

3x³ + 12x² - 7x - 28

Step-by-step explanation:

(f • g)(x) = f(x) × g(x)

= (x + 4)(3x² - 7)

Each term in the second factor is multiplied by each term in the first factor, that is

x(3x² - 7) + 4(3x² - 7 ) ← distribute both parenthesis

= 3x³ - 7x + 12x² - 28

= 3x³ + 12x² - 7x - 28

Answer:

X is 24.

Step-by-step explanation:

Divide the surface area by 4

x=10

First you

do 4*4 then u put a random number an start from 1 so with ten it would

be 4*10/2*4=96

Answer:

3/5

Step-by-step explanation:

1/5 + 1/5 + 1/5 is 3/5

add the 1 three times then don't add the denominator because it wont change in addition

Answer: 6/10

Step-by-step explanation:

1/5+1/5+1/5=3/5

3/5=6/10

Answer:

Step-by-step explanation:

the simpliest form is [tex]1\frac{2}{5}[/tex]

It already is a fraction. If you need it simplified, it would be 1 2/5.

---

hope it helps

Answer:

9 units

Step-by-step explanation:

The dotted line, which is the height, is labeled as 9, so it is 9 units.

Hope that helps!

Answer: 9 units

Step-by-step explanation: If you look at the question on the photo you see a dotted line with a 9 on it. On a triangle when you something like that you know it the actual height of the triangle

Answer:

y > -2/3 x + 3

Step-by-step explanation:

First we find the equation of the dashed line.

y = mx + b

We see b = 3.

The slope is -2/3.

The equation of the line is

y = -2/3 x + 3

The line is dashed, not solid, and the shading is above the line, so the inequality is

y > -2/3 x + 3

Answer:

5:11

Step-by-step explanation:

Answer:

11:16

Step-by-step explanation:

Sorry if incorrect

Answer:

guessing 8

Step-by-step explanation

27-3= 24

24/3=8

Step-by-step explanation:

Density=5250/4.5=1166.66 g/ml

Answer:

B

Step-by-step explanation:

12x18x2= 432 So your answer will be 432

Answer: 34 questions right

Turn 85% into a decimal so .85 then multiply by 40 to get 34

Step-by-step explanation:

Answer:

they both use y^2-y^1 and x^2 - x^1, one is to find the slope the other is to find the y intercept

Step-by-step explanation:

Slope-intercept is when you have a graph and a equation such as y=mx+b

y = y coordinate

m = slope

x = x coordinate

b = y intercept

point-Slope is when you have this equation and you use (x1, y1) as the coordinates to graph.

y - y1 = m * (x - x1)

Answer:

b and d

Step-by-step explanation:

i think its d i couldnt read the story so if im wrong i am terriably sorry.

Answer:If the diameter is 13 you should try each answer until you find pi.

To find pi you have to divide the circumference by the radius.

You don't need to find the circumference in this question but you can.

The circumference is 40.82

Then you have to divide

40.82÷13

that equals 3.14

and because that is pi, C is your answer

Step-by-step explanation:

Answer:

Convert 300 L in 15 seconds to L/min a. ... 10) How many kilograms of water are in a standpipe containing 5678 L? a. ... tank volume if a pump is discharging a constant 60 litres per minute into the tank

Answer:

Your answer is A, or -200.

Since your slope is going down, you know that the number is going to be a negative value. Then, check where the line hits a direct point. You would notice that it hits every 200 number values, which means that your answer is A.

Answer:

Step-by-step explanation:

6p + 3 = 3*2*p + 3

           = 3(2p + 1)

Answer:

[tex]f(x) = \frac{24}{25} * \frac{5}{6}^x[/tex]

Step-by-step explanation:

Given

[tex](x_1,y_1) = (2,\frac{2}{3})[/tex]

[tex](x_2,y_2) = (3,\frac{5}{9})[/tex]

Required

Write the equation of the function [tex]f(x) = ab^x[/tex]

Express the function as:

[tex]y = ab^x[/tex]

In: [tex](x_1,y_1) = (2,\frac{2}{3})[/tex]

[tex]y = ab^x[/tex]

[tex]\frac{2}{3} = a * b^2[/tex] --- (1)

In [tex](x_2,y_2) = (3,\frac{5}{9})[/tex]

[tex]y = ab^x[/tex]

[tex]\frac{5}{9} = a * b^3[/tex] --- (2)

Divide (2) by (1)

[tex]\frac{5}{9}/\frac{2}{3} = \frac{a*b^3}{a*b^2}[/tex]

[tex]\frac{5}{9}/\frac{2}{3} = b[/tex]

[tex]\frac{5}{9}*\frac{3}{2} = b[/tex]

[tex]\frac{5}{3}*\frac{1}{2} = b[/tex]

[tex]\frac{5}{6} = b[/tex]

[tex]b = \frac{5}{6}[/tex]

Substitute 5/6 for b in (1)

[tex]\frac{2}{3} = a * b^2[/tex]

[tex]\frac{2}{3} = a * \frac{5}{6}^2[/tex]

[tex]\frac{2}{3} = a * \frac{25}{36}[/tex]

[tex]a = \frac{2}{3} * \frac{36}{25}[/tex]

[tex]a = \frac{2}{1} * \frac{12}{25}[/tex]

[tex]a = \frac{24}{25}[/tex]

The function: [tex]f(x) = ab^x[/tex]

[tex]f(x) = \frac{24}{25} * \frac{5}{6}^x[/tex]

Answer:

y=4/3x-7

Step-by-step explanation:

Answer:

Y=4/3x-7

Step-by-step explanation:

Answer:

...

Step-by-step explanation:

14, 18, 20

Answer:

14

16 (which is given)

18

20

Step-by-step explanation:

Answer: A

Step-by-step explanation: There are 3 black stars and 4 striped stars. Therefore 4:3 is the ratio.

The answer is A) 3/100.

Answer:

1) 20: 25

2) 15: 3

Step-by-step explanation:

9514 1404 393

Answer:

  3a by 4a

Step-by-step explanation:

For dimensions L and W, the area and perimeter are ...

  A = LW = 12a^2

  P = 2(L+W) = 14a

Using the second equation, we can find L:

  L +W = 7a . . . . . divide by 2

  L = 7a -W

Substituting into the area formula gives the quadratic ...

  (7a -W)(W) = 12a^2

  W^2 -7aW +12a^2 = 0 . . . . arrange in standard form

  (W -3a)(W -4a) = 0 . . . . . . . factor (find factors of 12 that total 7)

Then we have the two solutions ...

  W = 3a, L = 4a

  W = 4a, L = 3a

The rectangle dimensions are 3a by 4a.

Answer:

34

Step-by-step explanation:

sorry, i dont know

Answer:

50% is

Step-by-step explanation:

A display screen at the airport shows the arrival and departure information of flights. Which data type is suitable to show the arrival of a flight? How can you display a list of flights in the ascending order (latest departure first) of their departure time?

The

data type is suitable to show the arrival of a flight. The

operation can help display flights in the ascending order of their departure time.

Answer:a)24minutes b)12 minutes c)9.6minutes d)4.8 minutes

Step-by-step explanation:

x         50               x           25                      x                20              x         10

___=_____         _____=______         _________=________   ____=_____

48      100               48          100                 48                100            48     100

x(100)=48(50)          x(100)=48(25)                x(100)=48(20)            x(100)=48(10)

100x=2400                100x=1200                  100x=960                 100x=480

__________                __________             __________            _________

100       100                    100     100                   100    100               100        100

x=24minutesat50% x=12minutesat25%x=9.6minutesat20% x=4.8minutesat10%