The graph below shows the relationship between the number of pants sold and the cost. Choose two true statements.

A: The ordered pair (1, 9) represents the unit rate as cost per pair of pants.

B: The ordered pair (1, 18) represents the unit rate as cost per pair of pants.

A: The ordered pair (0,0) represents the fact that one pair of pants costs $0.

A: The ordered pair (0,0) represents the fact that zero pairs of pants costs $0.

Answer:

1/8

Step-by-step explanation:

1/2 divided by 4 = 8 1/8ths

The expression f(x) = (x ^ 2 - 4)(x ^ 2 + 4x + 3 is a polynomial function

The factored form of f(x) = (x ^ 2 - 4)(x ^ 2 + 4x + 3) is f(x) = (x - 2)(x + 2)(x + 3)(x + 1)

The expression is given as:

f(x) = (x ^ 2 - 4)(x ^ 2 + 4x + 3)

Express as difference of two squares

f(x) = (x - 2)(x + 2)(x ^ 2 + 4x + 3)

Expand

f(x) = (x - 2)(x + 2)(x ^ 2 + x + 3x + 3)

Factorize the expression

f(x) = (x - 2)(x + 2)(x(x + 1) + 3(x + 1))

Factor out x + 1

f(x) = (x - 2)(x + 2)(x + 3)(x + 1)

Hence, the factored form of f(x) = (x ^ 2 - 4)(x ^ 2 + 4x + 3) is f(x) = (x - 2)(x + 2)(x + 3)(x + 1)

Read more about factored expressions at:

https://brainly.com/question/723406

Answer:

a^2 + b^2 = c^2

Step-by-step explanation:

12^2 + 15^2 = c^2

144 + 225 = c^2

144 + 225 = 369^2

√369 = 19.21

Answer:

48

Step-by-step explanation:

5(x2+y)+y2

5 x (3 x 2 + 6) + 6 x 2

5 x 6 + 6 + 6 x 2

30 + 6 + 6 x 2

30 + 6 + 12

36 + 12 = 48

Answer: Since −3x does not contain the variable to solve for, move it to the right-hand side of the equation by adding 3x to both sides.

y=5x−7

−2y=3x−12

Divide each term in the equation by −2.

y=5x−7

y=−3x/2+6

Create a graph to locate the intersection of the equations. The intersection of the system of equations is the solution.

(2,3)

Answer:

Just use a calculator

Step-by-step explanation:

It's easier :)

Answer: Number 11 is       21/5

Number 10 is  35/96

Step-by-step explanation:

Answer:

10/20 or 1/2 it is 50% chance that she pass and 50% that she fail

Step-by-step explanation:

The probability of your friend passing the exam by pure guessing is 0.176 or about 17.6%.

The probability of guessing correctly on any individual question is 0.5 (50%).

If the passing grade is, for example, getting at least 50% of the questions correct, your friend needs to get 10 or more questions correct.

The probability of guessing correctly on exactly k questions out of 20 is given by the binomial probability formula:

[tex]P(X = k) = C(n, k) * p^k * (1 - p)^{(n - k)[/tex]

For k = 10 (minimum number of correct answers to pass):

[tex]P(X = 10) = ^{20}C_{10} * (0.5)^{10} * (1 - 0.5)^{(20 - 10)[/tex]

P(X = 10) = 0.176197052

So, the probability is 0.176 or about 17.6%.

Learn more about probability here:

https://brainly.com/question/32117953

#SPJ4

Answer:

17.5 months.

Step-by-step explanation:

Answer:

Volume = 1/3 ft^3

Step-by-step explanation:

volume of prism is multiplying the dimensions

Volume = (1/3 ft)x(2/3ft)x(1 1/2ft)  

Volume = (1/3 ft)x(2/3ft)x( 3/2ft)

Volume = (1x2x3)/(3x3x2) ft^3 = 6/18 ft^3 = 1/3 ft^3

Option B is correct, the volume of the  right rectangular prism is 1/3 cubic feet.

a three dimensional shape can be defined as a solid figure or an object or shape that has three dimensions—length, width, and height.

The given figure is a right rectangular prism.

The length is [tex]1\frac{1}{2}[/tex] feet

The width is 2/3 feet

The height is 1/3 feet.

Volume=Length×width×Height

= [tex]1\frac{1}{2}[/tex] ×2/3×1/3

=3/2×2/3×1/3

=1/3 cubic feet

Hence, Option B is correct, the volume of the  right rectangular prism is 1/3 cubic feet.

To learn more on Three dimensional figure click:

https://brainly.com/question/2400003

#SPJ7

Answer:

B

Step-by-step explanation:

A linear association means the function is a relation that can be shown with a line.

The first scatterplot is in the form of a parabola, and parabolas are the quadratic function form, meaning it cannot be linear.

Next, the second scatterplot goes diagonally, in a straight line. If we were to connect the dots using a line, then it would be a linear association, meaning that B is the correct answer.

The Neptune's time period of orbit is 164.3 earth years.

We have given that the mass of the sun is 2 × 1030 kg.

The distance between neptune and the sun is 30 au

[tex]T^2 = 4\pi ^2a^3/GM[/tex]

Where T is in earth years, a is astronomical units and

M = solar masses.

4π²/GM = 1,

Therefore we get

[tex]T^2 = a^3[/tex]

[tex]T = \sqrt(a^3)[/tex]

[tex]T = \sqrt(30^3)[/tex]

[tex]T = 164.3[/tex]

Therefore, the Neptune's time period of orbit is 164.3 earth years.

To learn more about the time period visit:

https://brainly.com/question/329317

Answer:

b. 164 earth years

Step-by-step explanation:

just took the quiz 2022

Answer: D

Step-by-step explanation:

Answer:

y = (x - 3)² + 1

Step-by-step explanation:

the equation of a quadratic function in vertex form is

y = a(x - h)² + k

where (h, k ) are the coordinates of the vertex and a is a multiplier

here (h, k ) = (3, 1 ) , then

y = a(x - 3)² + 1

to find a substitute (1, 5 ) into the equatiuon

5 = a(1 - 3)² + 1 ( subtract 1 from both sides )

4 = a(- 2)² = 4a ( divide both sides by 4 )

1 = a

then equation of quadratic function is

y = (x - 3)² + 1

Answer:

34

Step-by-step explanation:

2 x 16 + 2

_________

2 x 16 = 32

_________

32 + 2 = 34

Answer:

30 or 64

Step-by-step explanation:

30 Because... 2 corns for every one till they rech 15..

that's mean (2 x 15)

64 Because... 2 corns plus 2 extra if they rech 16....

that's mean (4x16)

Answer:

48

Step-by-step explanation:

If the side length is 1/2, cube it to find the volume of the cube. Then divide 6 by 1/8. Remember that if you are dividing a fraction, you multiply by the reciprocal, in this case 8. 6 times 8 is 48.

Answer:

He is incroredct because he should have multiplied the bases

Step-by-step explanation:

Answer:

A: He is incorrect because he multiplied the bases.

Step-by-step explanation:

The correct answer would have been: [tex]6^{9}[/tex]

[tex]\sf\huge\underline{\star Solution:-}[/tex]

[tex]\rightarrow[/tex] As we know that,

[tex]\sf{A^2 +B^2 \:=\: C^2}[/tex](Pythagoras Theorem)

So, using this formula we can find measure of another side(leg).

[tex]\rightarrow[/tex][tex]\sf{A^2 +B^2 \:=\: C^2}[/tex](putting the value of both given side of triangle)

[tex]\rightarrow[/tex] [tex]\sf{9^2 +B^2 \:=\: 16^2}[/tex]

[tex]\rightarrow[/tex] [tex]\sf{81 +B^2 \:=\: 256}[/tex]

[tex]\rightarrow[/tex] [tex]\sf{B^2 \:=\: 256-81}[/tex]

[tex]\rightarrow[/tex] [tex]\sf{B^2 \:=\: 175}[/tex]

[tex]\rightarrow[/tex] [tex]\sf{B \:=\: \sqrt{175}}[/tex]

[tex]\rightarrow[/tex] [tex]\sf{B\:=\: 13.22(approx)}[/tex]

Therefore, measure of another side (leg) of the triangle = [tex]\sf\purple{ 13.22(approx).}[/tex]

____________________________________

Hope it helps you:)

Answer: 21/572

[tex]\frac{5.5}{10 . 22} - \frac{4}{52}[/tex]

The dots stand for multiplication

Answer:

X = 5

Step-by-step explanation:

3x + 2 = 17

3x = 7-2

3x = 15

x = 5

Answer:

x=5

Step-by-step explanation:

3x+2=17

or,3x=17-2

or,3x=15

or,x=15/3

or,x=5

We can organize the data by making a board (i can't draw one so i'll do it in another way)

First, we have to see how many different values are there :
19 ; 21 ; 22; 23 ; 24 ; 25 ; 26 ; 27 ; 28 ; 29 ; 30 ; 31 ; 32 ; 34 ; 35 ; 36 ; 37 ; 39 ; 40 ; 43 ; 44 ;45 ; 46

Frequency :
19 : 1 time
21 : 3 times
22 : 1 time
23 : 1 time
24 : 5 times
25 : 3 times
26 : 2 times
27 : 4 times
28 : 3 times
29 : 2 times
30 : 2 times
31 : 3 times
32 : 2 times
34 : 2 times
35 : 4 times
36 : 2 times
37 : 1 time
39 : 1 time
40 : 1 time
43 : 2 times
44 : 1 time
45 : 1 time
46 : 1 time
47 : 1 time

(that was so long, now you can construct the board yourself right xd)

Answer:

14.49

Step-by-step explanation:

thats all folks i don't know why though

Answer:

135

Step-by-step explanation:

5/8=0.625

1-0.625=0.375

0.375 times 360=135

Answer:

12,900

Step-by-step explanation:

12.9 x 1000 = 12,900

Answer:

12,900. That is because you must multiply the amount to find the converted value, in this case, 12,900.

Using the slope concept, it is found that the angle measurement has to be within 1.2º of 30º.

The slope is given by the vertical change divided by the horizontal change, and it's also the tangent of the angle of depression.

In this problem, considering the horizontal distance and the actual angle, the following equation is applied to find the actual height:

[tex]\tan{30^\circ} = \frac{h}{25}[/tex]

[tex]h = 25\tan{30^\circ}[/tex]

h = 14.43.

For an error of 5%, the bounds of h are as follows:

[tex]h_{min} = 0.95 \times 14.43 = 13.71[/tex]

[tex]h_{max} = 1.05 \times 14.43 = 15.15[/tex]

Hence, the angles will be given by:

[tex]\tan^{\alpha} = \frac{13.71}{25}[/tex]

[tex]\alpha = \tan^{-1}{\left(\frac{13.71}{25}\right)}[/tex]

[tex]\alpha = 28.8[/tex]

[tex]\tan^{\alpha} = \frac{15.15}{25}[/tex]

[tex]\alpha = \tan^{-1}{\left(\frac{15.15}{25}\right)}[/tex]

[tex]\alpha = 31.2[/tex]

Hence the angle measurement has to be within 1.2º of 30º.

More can be learned about the slope concept at https://brainly.com/question/18090623

Step-by-step explanation:

Here are all the answers.

Answer:

A

Step-by-step explanation:

i did this before and got it correct

[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]

Let's use Unitary method ~

[tex]\qquad \sf  \dashrightarrow \:10 \:hr = 320 \: bagels[/tex]

[tex]\qquad \sf  \dashrightarrow \: 1\: hr = (320 \div 10) \: bagels[/tex]

[tex]\qquad \sf  \dashrightarrow \:1 \: hr = 32 \: bagels[/tex]

So, the rate per hour is 32 bagels ~

[tex]\qquad \sf  \dashrightarrow \:15 \: hr = (15 \times 32) \: bagels[/tex]

[tex]\qquad \sf  \dashrightarrow \:15 \: hr = 480\: bagels[/tex]

So, they can prepare 480 bagels in 15 hours

Answer:

480 bagels

Step-by-step explanation:

320 bagels in 10 hours.

⇒ 320 bagels = 10 hours

Divide 10 both sides to find the rate per hour:

⇒ 320/10 bagels = 10/10 hours

⇒ 32 bagels = 1 hours

Multiply 15 both sides to find the number of bagels in 15 hours

⇒ 32 bagels = 1 hours

⇒ 32 x 15 bagels = 1 x 15 hours

⇒ 480 bagels = 15 hours