Identify the domain of the function.
A)
[0,5)
B)
(0,5)
[-4,4)
D)
(-4, 4]

Answer:

Length of line AC = 24 cm

Step-by-step explanation:

Given:

Length of line AB = 10 cm

Length of line BC = 14 cm

Find:

Length of line AC

Computation:

We know that line AB and BC are two part of line AC

So,

AC = AB + BC

Length of line AC = Length of line AB + Length of line BC

Length of line AC = 10 + 14

Length of line AC = 24 cm

The bill cost is directly proportional to the calling time.

In this exercise we need to check if the cost of the phone bill (y), in US dollars, is directly proportional to calling time (x), in minutes. Then, the following model has to be fulfilled:

k = y / x

Where k is the constant of proportionality, in US dollars per minute.

The bill model is directly proportional if and only if the constant of proportionality is the same for every pair of values:

k₁ = 12 / 80

k₁ = 3 / 20

k₂ = 9 / 60

k₂ = 3 / 20

There, the bill cost is directly proportional to the calling time.

To learn more on direct proportion models: https://brainly.com/question/20400984

#SPJ1

Answer:

64inches.

Step-by-step explanation:

Let x represent the length of entire rope.

Division Equation:

\frac{x}{4}  = 16

\frac{x}{4} X 4 =16x4 (Multiply each side by 4)

x=64

Answer:

2pi +6

Step-by-step explanation: First you can get the are of the triangle by doing (base *height)/2 this will be (3*4)/2 whcih is 6

Area of the half circle. To get the area of the circle u do radius^2*pi. this will be 2^2*pi in this example. so 4pi. because its half u have to to divide it by 2, so 4pi/2 is 2pi.

Now 2pi + 6 is the anwser

Answer:

Step-by-step explanation:

Remark

This is a cosine law problem.

a = 12

b = 15

C = 83

Notice that the angle is enclosed by 2 given sides. That's what a cosine problem looks like (one of the two choices.

Formula

c^2 = a^2 + b^2 - 2ab*cos(C)

Solution

c^2 = 12^2 + 15^2 - 2*12*15 * cos(83)

c^2 = 144 + 225 - 360 * cos(83)

cos(83) = 0.1219

c^2 = 144 + 225 - 360 * 0.1219

c^2 = 369 - 43.884

c^2 = 325.116

sqrt(c^2) = sqrt(325.116)

c = 18.031

To the nearest tenth, the answer is 18.0 and you must include the 0.

Answer:

the coordinates of B is (-2,5)

Step-by-step explanation:

Answer:

Step-by-step explanation:

Another similar triangle.  then the sides that are the same are:

r /d =  p / b

r =30

d = 72

b  = 60

p = QR

30 / 72 = QR / 60

( 30 / 72 ) 60 = QR

1800 / 72 = QR

25 = QR

:)  glad they makes these work out to easy numbers.. I mean not some long decimal  

Answer:

)Alex picks more red cards than black cards,

Step-by-step explanation:

Answer: 8

Step-by-step explanation:

Each of the two pyramids has 4 outer faces.

Answer: B

Step-by-step explanation:

took test :)

Answer:

The answer is B

Step-by-step explanation:

2

Answer:

First answer choice

Step-by-step explanation:

Answer:

Step-by-step explanation:

it's another one of those similar triangles

it's easier to see this one.

t /c = u / b

where

t = 7x + 3

c = 27

u = 35

b = 21

plug in the knowns

7x + 3 / 27 = 35 / 21

7x + 3  = 27 ( 35 / 21 )

7x + 3 = 9 ( 35 / 7 )     ( divided by 3 )

7x  + 3  = 9 ( 5)     ( 7 into 35 =5 )

7x  + 3  = 45

7x = 45 - 3

7x = 42  

x = 6

I checked it, the ratio is 1_2/3  :) for both, but you can check it too

Answer:

3

Step-by-step explanation:

We just plug in -4 for x to get the equation: -(-4)-1. Negatives cancel out and we get 4-1 which is 3

Answer:

g(-4) = 3

Step-by-step explanation:

Plug in -4 for x in the given equation:

g(x) = - x - 1

g(-4) = - (-4) - 1

Note that if there are two negative signs directly next to each other, it would become a positive. Therefore:

- (-4) =  4

Simplify:

4 - 1 = 3

g(-4) = 3 is your answer.

~

[tex]\frac{4}{25} *\frac{9}{x}[/tex]

[tex]9*25=4x[/tex]

225=4x

x=225/4

Answer:

78*78+30*30+20*20+72

7456

Step-by-step explanation:

Answer:

78 times 78 + 30 times 30 + 20 times 20 + 72 = 7456 meaning the answer is 7,456.

Step-by-step explanation:

Thank you! Have a great life! Stay safe! Byes!

Answer:

1/3

Step-by-step explanation:

Answer:

I think $490

Step-by-step explanation:

Don't quote me on that

Answer:

13.5 ft

Step-by-step explanation:

base = 18ft

To find the height, take 75% of 18

To do this, take the decimal form of 75% (which is 0.75) and multiply that by 18:

0.75 x 18 = 13.5

13.5 would be the height

Answer:

13.5?

Step-by-step explanation:

Answer:

-0.125

Step-by-step explanation:

hopefully this helps

Answer:

Step-by-step explanation:

Given scores:

Mean of the scores:

Absolute deviations:

Sum of absolute deviations:

Mean absolute deviation:

total no of game (n)=5

score =15, 25, 10, 2, and 8 points

mean= sum of score/no.of game

=(15+25+10+2+8)/5=60/5=12

absolute deviation of

15=\15-12\=3

25=\25-12\=13

10=\10-12\=2

2=\2-12\=10

8=\8-12\=4

mean absolute deviation=

(3+13+2+10+4)/5=3.6

is the mean absolute deviation of the points she scored during the last five games.

Answer:

0.5 = 50%, 3/4 = 75%

Step-by-step explanation:

Answer:

(11/15)'s

Step-by-step explanation:

(2/5) is equal to (6/15)

(1/3) is equal to (5/15)

(5/15)+(6/15)=(11/15)

Answer:

30.99

Step-by-step explanation:

31 - 0.01 = 30.99

Answer:

a) P(rolling a number less than 4 on Die 1 and rolling a 5 on Die 2) = [tex]\frac{1}{9}[/tex]

b) P( the sum of both dice adding up to 4) = [tex]\frac{5}{54}[/tex]

Step-by-step explanation:

Given - You roll two six-sided dice. Die 1 is fair. Die 2 is unfair such that the probability of rolling an odd number is  and the probability of rolling an even number is  , though the probability rolling of each odd number is the same, and the probability of rolling each even number is the same.

To find - What is the probability of:

                a) rolling a number less than 4 on Die 1 and rolling a 5 on Die 2.

                b) the sum of both dice adding up to 4.

Proof -

The sample space , S = { (1,1), (1,2), (1,3), (1,4), (1,5), (1,6)

                                          (2,1), (2,2), (2,3), (2,4), (2,5), (2,6)

                                          (3,1), (3,2), (3,3), (3,4), (3,5), (3,6)

                                           (4,1), (4,2), (4,3), (4,4), (4,5), (4,6)

                                           (5,1), (5,2), (5,3), (5,4), (5,5), (5,6)

                                            (6,1), (6,2), (6,3), (6,4), (6,5), (6,6) }

Now,

Given that , Dice 1 is fair

⇒P₁(1) = P₁(2) = P₁(3) = P₁(4) = P₁(5) = P₁(6) = [tex]\frac{1}{6}[/tex]

Also,

Given Dice 2 is unfair

⇒P₂(1) = P₂(3) = P₂(5) = [tex]\frac{2}{3}.\frac{1}{3} = \frac{2}{9}[/tex]

    P₂(2) = P₂(4) = P₂(6) = [tex]\frac{1}{3}.\frac{1}{3} = \frac{1}{9}[/tex]

Now,

a)

P(rolling a number less than 4 on Die 1 and rolling a 5 on Die 2) = P₁(1)P₂(5) + P₁(2)P₂(5) + P₁(3)P₂(5)

= P₂(5) [ P₁(1) + P₁(2) + P₁(3) ]

= [tex]\frac{2}{9}[/tex] [ [tex]\frac{1}{6}[/tex] + [tex]\frac{1}{6}[/tex] + [tex]\frac{1}{6}[/tex] ] =  [tex]\frac{2}{9}[/tex][tex][\frac{3}{6} ][/tex] = [tex]\frac{1}{9}[/tex]

⇒P(rolling a number less than 4 on Die 1 and rolling a 5 on Die 2) = [tex]\frac{1}{9}[/tex]

b)

P( the sum of both dice adding up to 4) = P₁(1)P₂(3) + P₁(2)P₂(2) + P₁(3)P₂(1)

                                                                   = [tex]\frac{1}{6}[/tex] × [tex]\frac{2}{9}[/tex]  + [tex]\frac{1}{6}[/tex] × [tex]\frac{1}{9}[/tex] + [tex]\frac{1}{6}[/tex] × [tex]\frac{2}{9}[/tex]   =  [tex]\frac{5}{54}[/tex]

⇒P( the sum of both dice adding up to 4) = [tex]\frac{5}{54}[/tex]

Answer:

y - intercept = 4

Step-by-step explanation:

I'm not completely sure but I believe this should be right.

Answer:

21 + 12

Step-by-step explanation:

You multiply out the brackets

3 *7=21

3*4=12

21+12=33

Answer:

x = -11

Step-by-step explanation:

−3x + 6 = 39

-3x = 33

x = -11

Step-by-step explanation:

-3x+6=39

-3x=39-6

-3x=33

x=33/-3

x=11

Answer:

I think u add those numbers up because it's saying figure out the volume below. it must be adding.

Step-by-step explanation:

so just separate the shape into 2 . then you will have one cube 8×8×8 and a rectangle 9×4×8 find the volume of both and then add them together

Answer:

52

Step-by-step explanation:

52x0.25=13

Answer:

52 quarters

Step-by-step explanation:

13 dollars x 100 cents

= 1,300 cents

1,300 cents / 25 cents

= 52 quarters