Find the equivalent expression using distributive property.

Answer:

False

Step-by-step explanation:

To determine if the inverse of g(x) is a function, we will use the horizontal line test.

A horizontal line will pass through more than one point, so it is not a function

Answer:

x = 26

angle QOR = 31

angle ROS = 59

Step-by-step explanation:

[tex](x + 5) + (2x + 7) = 90\\ 2x + x + 5 + 7 = 90 \\ 3x + 12 = 90 \\ 3x = 90 - 12 \\ 3x = 78 \\ x = 78 \div 3 \\ x = 26[/tex]

Sub x in

[tex](x + 5) \\ 26 + 5 = 31[/tex]

and

[tex](2 \times 26 + 7) \\ = 52 + 7 \\ = 59[/tex]

Answer:

You can can receive 9 different ways to receive change from a ten-dollar bill

Step-by-step explanation:

- Total spent: $9.79

- How much payed: $10

The change will be $10 - $9.79 = 0.21

- Change: $0.21

Possible coins:

penny: 1¢ ($0.01)

nickel: 5¢ ($0.05)

dime: 10¢ ($0.10)

25¢ (this is too high, can't use)

Combinations:

To get 21...

- not ideal but 21 pennies

- 11 pennies + 1 dime

- 1 penny + 2 dimes

- 16 pennies + 1 nickle

- 11 pennies + 2 nickels

- 6 pennies + 3 nickels

- 1 penny + 4 nickels

- dime + nickle + 6 pennies  

- dime + 2 nickels + 1 penny

using dimes:  [10, 10, 1]   [10, 5, 5, 1]   [10, 5, 6x1]   [10, 11x1]

using nickels:  [5, 5, 5, 5, 1]   [5, 5, 5, 6x1]   [5, 5, 11x1]   [5, 16x1]

using pennies: 21x1

So, there are 9 ways to make the change.

The actual height in inches,will be  [tex]\dfrac{1}{6} c[/tex]  of one of her friends who is c centimeters tall in the picture

Height is measure of vertical distance, either vertical extent (how "tall" something or someone is) or vertical position.

lets call the height x :

[tex]\dfrac{10}{60} = \dfrac{h}{x}[/tex]

[tex]x = \dfrac{1}{6} h[/tex]

Hence the actual height in inches,will be  [tex]\dfrac{1}{6} c[/tex]  of one of her friends who is c centimeters tall in the picture.

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Answer:

------- HappY LearninG <3 ------

Answer:

2k^2+12

Step-by-step explanation:

remove parentheses, simplify calculate

Answer:

44.000000001 (exact) or rounded up 44

Step-by-step explanation:

14.666666667*3 because 1 yard= 3 feet

One yard is 3 feet, which means we will have to mutliple 14 2/3 by 3.

14 x 3 =42

2/3 of a yard is 2 feet, which means we must add 2 to 42--->

42+2= 44

14 2/3 yards is 44 feet.

Hope This Helps <3

Answer:

It is the spot where sons raise meat.

Answer:

C. 48.98 m

Step-by-step explanation:

[tex]2\pi(7.8) = 15.6\pi = 49.01[/tex]

[tex]y = ab^x \\\\[-0.35em] ~\dotfill\\\\ \begin{cases} x=0\\ y=14 \end{cases}\implies 14~~ = ~~ab^0\implies 14=a(1)\implies 14=a~\hfill \underline{y=14b^x} \\\\[-0.35em] ~\dotfill\\\\ \begin{cases} x=6\\ y=896 \end{cases}\implies 896~~ = ~~14b^6\implies \cfrac{896}{14}=b^6 \\\\\\ 64=b^6\implies \sqrt[6]{64}=b\implies 2=b~\hfill \underline{y=14(2)^x}[/tex]

Answer:

Slopem=74

As a decimal:

m = 1.75

Step-by-step explanation:

Answer:

3.74 mph

Step-by-step explanation:

412÷110=3.74

Answer:

1/14

Step-by-step explanation:

a four out of possible   6 rolls   = 1/6

6 red out of 14 balls      6/14

1/6  * 6/14 = 1/14

The Probability of rolling a 4 on a number cube and then choosing a red a ball at random is 1/14.

Probability is "possibility that deals with the chance of occurrence of random event" .

According to the question,

A cube has 6 faces that is  (1,2,3,4,5,6). Total number of faces n(s) = 6.

Probability formula = (Number of favorable event)/(Total number of event).  

Probability of taking 4, P(4) = 1/6.

A bag containing 8 blue and 6 red balls. Total number of balls in a bag n(s) = 14.

Probability of taking red balls P(red balls) = 6/14.

In order to find that probability of rolling a 4 on a number cube and then choosing a red a ball at random only if multiply P(4) by P(red balls).

P(4) × P(red balls) = [tex]\frac{1}{6}[/tex] × [tex]\frac{6}{14}[/tex] = [tex]\frac{1}{14}[/tex].

Hence,  probability of rolling a 4 on a number cube and then choosing a red a ball at random is 1/14.

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The exponential growth is 1.95% and after 35.72 years the population will double.

It is defined as the function that rapidly increases and the value of the exponential function is always a positive. It denotes with exponent [tex]\rm y = a^x[/tex]

where a is a constant and a>1

Let's suppose the exponential growth function is:

[tex]\rm y = Ae^{rt}[/tex]

A = 163,000

y = 1,686,000

t = 2020 – 1900 = 120 years

Plug all the values in the function:

[tex]\rm 1686000 = 163000e^{120r}[/tex]

[tex]\rm e^{120r} = 10.343[/tex]

Taking ln both side and solving:

r = 0.0194

r = 1.946 ≈ 1.95%

[tex]\rm 2A = Ae^{0.0194t}[/tex]  (the population to double)

After solving:

t = 35.72 years

Thus, the exponential growth is 1.95% and after 35.72 years the population will double.

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Answer:

Rectangle

Step-by-step explanation:

Horizontal is going across. So when you slice the rectangular prism, you end up with rectangle

Answer:

It is a rectange

Step-by-step explanation:

No matter how high up or low you cut a horizontal cross section on a rectangular prism, it is always a rectangle.

84°

Step-by-step explanation:

diameter=168/2

=84°

Answer:

option A

Step-by-step explanation:

The concept of parallel refers to lines that are perfectly relative to another

if you want to memorize this concept. always think of the EQUAL sign.

=

the equal sign has two lines that are perfectly horizontal. no matter if they are inclined, both lines reflect each other.

Answer:

569.49$

Step-by-step explanation:

7.25% = .0725

530.99 x 0.725 = 38.50

530.99$ + 38.50$

569.49$

[tex]\text{Vertical angles are equal, so}[/tex]

[tex]~~~~~~15n-2 = 13n+12\\\\\implies 15n-13n = 12+2\\ \\\implies 2n = 14\\\\\implies n = \dfrac{14}2 \\\\\implies n = 7[/tex]

Answer:

x < - 25

Step-by-step explanation:

| x + 3 | > 22

Case 1 : x + 3 > 22 [WORKED]

x > 22 - 3

x > 19

Case 2: - (x + 3) > 22

- x - 3 > 22

- x > 22 + 3

x < - 25

As case 1 and 2 don't overlap, so the answer of x should be:

x < - 25 or x > 19

Answer:

b

Step-by-step explanation:

1000 meters in a kilometer

Answer:

72+30=102

Step-by-step explanation:

0+2=2

7+3=10 so the answer

10

+002

102

Answer:

1. 0 & 2

2. 5

3. 10

4. 17

hope this helps!

Answer:

The second answer is decreases.

Step-by-step explanation:

As X -value increases, the y-value decreases. If you reply back with the options for the first half of the question I'll do my best to answer that as well

Using the probability concept and the Venn diagram described, the correct option is given by:

P(C|A) = 13/17.

A probability is given by the number of desired outcomes divided by the number of total outcomes.

P(A|B) is given by the sum of the values that involve both A and B by the sum of all values that involve B, hence:

Hence:

P(A|B) = 7/20.

Following the same logic, we have that:

Hence the last option is correct.

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Answer:

the correct answer is 13/17

I got it right on edge 2022

Step-by-step explanation:

Answer:

Follow my directions:

Step-by-step explanation:

Your Slope-Intercept Form: y=2x-7

1.) Find (0,-7) that shall be your y-intercept.

2.) From your y-intercept [ (0,-7) ]  you need to go up 2 and over 1.

**Meaning go up on the y-axis 2 times and go right 1.

[tex]~~~~~~~~~~~~\textit{distance between 2 points} \\\\ P(\stackrel{x_1}{2}~,~\stackrel{y_1}{2})\qquad Q(\stackrel{x_2}{-3}~,~\stackrel{y_2}{-6})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ PQ=\sqrt{[-3 - 2]^2 + [-6 - 2]^2}\implies PQ=\sqrt{(-5)^2+(-8)^2} \\\\\\ PQ=\sqrt{25+64}\implies PQ=\sqrt{89}\implies \boxed{PQ\approx 9.4}[/tex]

[tex]~~~~~~~~~~~~\textit{middle point of 2 points } \\\\ P(\stackrel{x_1}{2}~,~\stackrel{y_1}{2})\qquad Q(\stackrel{x_2}{-3}~,~\stackrel{y_2}{-6}) \qquad \left(\cfrac{ x_2 + x_1}{2}~~~ ,~~~ \cfrac{ y_2 + y_1}{2} \right) \\\\\\ \left(\cfrac{ -3 + 2}{2}~~~ ,~~~ \cfrac{ -6 + 2}{2} \right)\implies \left(\cfrac{-1}{2}~~,~~\cfrac{-4}{2} \right)\implies \left( -\cfrac{1}{2}~~,~~-2 \right)[/tex]

Answer:

The value of x = 109°

angle PQS = 24°

Step-by-step explanation:

24° + 47° + x = 180° { angles on straight line }

=> 71 ° + x = 180°

=> x = 180° - 71°

=> x = 109°

Now,

Angle PQS = 24°

angle PQS = angle QSR { alternative angle }

Step-by-step explanation:

a)(i) x=109°

(ii)It's given that PST is straight line then PST=180°,and

PST=QSP+QSR+x

180° =47°+24°+x

180°=71°+x

180°-71°=x

109°=x

b)(i)PQS=71°

(ii)we know opposite angles are equal in parallelogram

so PSR=PQR=71°