What is the slope of the line? y+2=−2(x−3) Choose 1 answer: A. −1/2 B. 1​ C. −2 D. −1

Answer: 10,000

Step-by-step explanation: 10 to the 2nd power or 10^2 is 100 so you multiply 100x100 which is 10,000

Answer:

10,000

Step-by-step explanation:

10^2*10^2

10^4=10,000

Answer:

Wyatt played 3 games and went on 6 Rides

Step-by-step explanation:

Let games be represented as x

Let ride be represented as y

Each game cost $1.25

Each ride cost $2.75

Total money spent by Wyatt= $20.25

x1.25 + y2.75 = 20.25 ..... Equation 1

the number of rides he went on is twice the number of games he played

Y= 2x ... Equation 2

Substituting the value of y into equation 1

x1.25 + y2.75 = 20.25

x1.25 + 2(x)2.75 = 20.25

x1.25 + x5.5 = 20.25

x6.75= 20.25

x= 20.25/6.75

X= 3

Y= 2x

Y= 2(3)

Y= 6

Wyatt played 3 games and went on 6 Rides

Answer:

Wyatt played 3 games and went on 6 rides.

Step-by-step explanation:

Answer:

[tex]x=6[/tex]

Step-by-step explanation:

So we have the equation:

[tex]3(x+1)=9+2x[/tex]

Distribute the left side:

[tex]3x+3=9+2x[/tex]

Subtract 2x from both sides. The right side cancels:

[tex](3x+3)-2x=(9+2x)-2x\\x+3=9[/tex]

Subtract 3 from both sides:

[tex](x+3)-3=(9)-3\\x=6[/tex]

So, x is 6.

Answer:

Sample mean = 6

Sample standard deviation = 3

Range = 3 to 9

Step-by-step explanation:

Given data:

Rankings (x)

9

6

1

7

7

sample size = n = 5

(a)

Sample Mean: [tex]\frac{}{x}[/tex] = ∑x/n

                            = 9+6+1+7+7 / 5

                            = 30 / 5

                    [tex]\frac{}{x}[/tex]      = 6

Sample Standard Deviation = s = √(x- [tex]\frac{}{x}[/tex] )²/n-1

= √((9-6)² + (6-6)² + (1-6)² + (7-6)² + (7-6)²) / (5-1)

= √((3)² + (0)² + (-5)² + (1)² + (1)²) / 4

= √(9+0+25+1+1)/4

= √36 / 4

= √9

= 3

s = 3

b) In what range does the empirical rule predict that approximately 68% of the class will rank you?

As per the empirical rule, 68% of data falls within first standard deviation  from the mean μ ± 1σ

[tex]\frac{}{x}[/tex]  = 6

s = 3

So

6 - 3 = 3

6 + 3 = 9

Hence the range is from 3 to 9

Answer:

Options (C), Option (D), Option (E), Option (F).

Step-by-step explanation:

It's given in the question,

ΔTUV ≅ ΔWXY

Therefore, corresponding sides and angles will be congruent.

∠T ≅ ∠W

∠U ≅ ∠X

∠V ≅ ∠Y

TV ≅ WY

UV ≅ XY

TU ≅ WX

By these properties, following options will be the correct options.

Option (C). ∠V ≅ ∠Y

Option (D). TV ≅ WY

Option (E). UV ≅ XY

Option (F). ∠X ≅ ∠U

Answer:

C,D,E, and F are correct

Step-by-step explanation:

In order to solve problems like this, you need to see which angles and segment correspond. Also, you would need to make sure that the order is the same on both sides of the equal side. For example, the first angle on one side of the equal sign will be congruent to the FIRST angle on the other side of the equal side.

Answer:

Step-by-step explanation:

(r/s)(x) is the quotien of r(x) = 3x - 1 and s(x) = 2x + 1:

  r            3x - 1

(-----)(x) = ----------

  s            2x + 1

Answer:

m<VRU = 80°

m<URW = 15°

Step-by-step explanation:

<SRW and <VRT are vertical opposite angles. Vertical opposite angles are equal. Therefore:

[tex] 2x + 15 = 85 [/tex]

Use this expression to solve for the value of x

[tex] 2x + 15 - 15 = 85 - 15 [/tex]

[tex] 2x = 70 [/tex]

[tex] \frac{2x}{2} = \frac{70}{2} [/tex]

[tex] x = 35 [/tex]

Find m<VRU by plugging in the value of x in the expression for its angle given.

m<VRU = [tex] 2x + 10 [tex]

[tex] 2(35) + 10 = 70 + 10 = 80 [tex]

m<VRU = 80°

FIND m<URW.

m<URW = 180° - (m<VRU + m<SRW) (angles on a straight line is 180°)

m<URW = 180 - (80 + 85)

= 180 - 165

m<URW = 15°

Answer:

1245 is the answer of this question

Answer:

at N ≥ 6

Step-by-step explanation:

Error permissible = 0.001

The series = infinity  

at ( N + 1 ) ! > 1000  the inequality N ≥ 6 is valid and holds

attached below is the detailed solution using alternating series remainder

Answer: B. a savings account earns interest

Step-by-step explanation: Money loses value over time as the rate of inflation increases. In this scenario, when you have some money to spare, the ideal is to seek some kind of investment that earns interest.

Saving is one such option. The money in savings earns interest and is highly liquid, meaning it can be used at any time. In addition, saving is a very...

Answer:

B

Step-by-step explanation:

Answer:

[tex]\sqrt[3]{x^2}[/tex]

x ^( 1/8)

Step-by-step explanation:

x ^ (5/6)  ÷ x ^ (1/6)

We know that a^ b ÷ a ^c = a^ ( b-c)

x^ ( 5/6 - 1/6)

x^ (4/6)

x ^ 2/3

[tex]\sqrt[3]{x^2}[/tex]

[tex]\sqrt{x}[/tex][tex]\sqrt[\\4]{x}[/tex]

x ^ 1/2 * x ^ 1/4

We know that a^ b * a ^ c = a^ (b*c)

x ^ (1/2 * 1/4)

x ^( 1/8)

Answer:

[tex]\huge \boxed{\sqrt[3]{x^{2} } } \\ \\ \huge \boxed{x^{\frac{3}{4} } }[/tex]

Step-by-step explanation:

Part 1:

x^(5/6) ÷ x^(1/6)

Applying exponent rule : a^b ÷ a^c = a^(b-c)

x^(5/6-1/6)

x^(4/6)

Simplifying the exponent.

x^(2/3)

Converting to simplest radical form.

(x^2)^(1/3)

[tex]\sqrt[3]{x^{2} }[/tex]

Part 2:

[tex]\sqrt{x} \times \sqrt[4]{x}[/tex]

Converting to exponent form.

x^(1/2) × x^(1/4)

Applying exponent rule : a^b × a^c = a^(b+c)

x^(1/2+1/4)

x^(2/4+1/4)

x^(3/4)

Answer:

Hey there!

3x-9=114

3x=123

x=41

Let me know if this helps :)

Answer:Variable expressions are expressions that involve variables, which are symbols that represent changing quantities. The value of the expression will change as the value of the variable changes.

For example, let's say with have the equation

x

+

5

When

x

=

1

, then

x

+

5

=

6

When

x

=

2

then

x

+

5

=

7

Hope that was helpful.

Answer:

Hello The data set is missing below is the missing data set

507,389,305,291,336,310,514,442,373,428,387,454,323,441,388,426,411,382,320,450,309,416,359,388,307,337,469,351,422,413

Step-by-step explanation:

Data set:

507,389,305,291,336,310,514,442,373,428,387,454,323,441,388,426,411,382,320,450,309,416,359,388,307,337,469,351,422,413

To CONSTRUCT a Frequency Distribution do the following

attached is the frequency table and histogram representation

Answer:

Place Value

Step-by-step explanation:

To Find:in a multi-digit number, the number place that a digit is in determines it's?

Solution :

The number place that a digit is in determines it's PLACE VALUE

Definition of place value : Place value can be defined as the value represented by a digit in a number on the basis of its position in the number.

Thus in a multi-digit number, the number place that a digit is in determines it's PLACE VALUE.

Eg . 389

Since the digit 8 is on tens place

So, it makes us to determine its place value

Place value of 8 is 80

Hence in a multi-digit number, the number place that a digit is in determines it's PLACE VALUE.

Answer:

Assuming you mean (6^2/3)^6, the exponent 6 2/3 in the simplification should be replaced with 4

Step-by-step explanation:

Apply the power rule and multiply exponents.

6 ^2 /3  * 6

Cancel the common factor of  3

6 ^2 *2

Multiply  2  by  2 .

6 ^4

Answer:

It should be noted that the p.f of X and Y when they are independent can be obtained by multiplying together their marginal probability function.

Step-by-step explanation:

Two discrete random variables X and Y are said to be statistically independent if and only if , for all possible values ( xi, yi) the joint probability function f(x,y) can be expressed as the product of two marginal functions. That is X and y are independent if

f(x,y) = P(x=xi  and Y =yi)

          =  P(x=xi) P(Y =yi)         for all i and j

            = g(x)h(y)

It should be noted that the p.f of X and Y when they are independent can be obtained by multiplying together their marginal probability function.

The values of marginal probabilities are often written in the margins of the joint table as there are rows and columns totals in the table. The probabilities in each marginal probability function add to 1.

Answer:

[tex] x = 11 [/tex]

Step-by-step explanation:

Given that ∆CDE ~ ∆FGH

CD = 25

DE = 35

FG = 65

GH = 8x + 3

Therefore,

[tex] \frac{CD}{FG} = \frac{DE}{GH} [/tex]

(Similarity Theorem)

[tex] \frac{25}{65} = \frac{35}{8x + 3} [/tex]

Cross multiply

[tex] 25(8x + 3) = 35*65 [/tex]

[tex] 200x + 75 = 2275 [/tex]

[tex] 200x + 75 - 75 = 2275 - 75 [/tex]

[tex] 200x = 2200 [/tex]

[tex] \frac{200x}{200} = \frac{2200}{200} [/tex]

[tex] x = 11 [/tex]

Answer:

C. 11

Step-by-step explanation:

x = 11

Answer:

x=2

Step-by-step explanation:

-7/2x + 3/2 + 2 =-7/2

Add the numbers

3/2+2

2=2/1=4/2

3/2+4/2=7/2

-7/2x+7/2=-7/2

Subtract 7/2 from both sides

-7/2x=-14/2

Multiply both sides by 2

-7x=-14

Divide both sides by -7

x=2

Answer:

$450

Step-by-step explanation:

Let R be the hourly pay rate in dollars per hour. Hannah worked 10 hours and Zach worked 9 hours for a total of $950, so we get the equation:

10R + 9R = 950

Solve for R:

19R = 950

R = 50

Zach worked for 9 hours, so the total he earned is:

9 hours * 50 dollars/hour = $450

Answer: A

Step-by-step explanation:

L=Length W=Width

3W=2L+2

4L=2L+2W+12

2L=2W+12

Option A

Hope this helps!! :)

Please let me know if you have any question or need further explanation

Answer:

[tex]mean = \frac{9 + 4 + 4 + 1 + 0 + 6 + 4}{7} = \frac{28}{7} = 4[/tex]

[tex]mean \: deviation = \frac{ |9 - 4| + |4 - 4| + |4 - 4| + |1 - 4| + |0 - 4| + |6 - 4| + |4 - 4| }{7} = \frac{5 + 0 + 0 + 3 + 4 + 2 + 0}{7} = \frac{14}{2} = 7[/tex]

Answer: No solution. 27=9

Answer:

210

Step-by-step explanation:

10x9x8x7x6x5x4x3x2x1 divided by 6x5x4x3x2x1x4x3x2x1=

(Take out 1 through 6 on both sides)

10x9x8x7 divided by 4x3x2x1=

5040 divided by 24=

210

Dance instructor can chose 4 students out of 10 if order doesn't matter in 210 ways

A combination is a selection of all or part of a set of objects, without regard to the order in which objects are selected.

For example, suppose we have a set of three letters: A, B, and C. We might ask how many ways we can select 2 letters from that set. Each possible selection would be an example of a combination.

Formula of combination:

[tex]C_{n} ^{r} = \frac{n!}{r! (n-r)!}[/tex]

Where

nCr is   the selection of objects from a group of objects where order of objects does not matter.

n is the total number of objects

r is the number of selected objects.

According to the question

A dance instructor chose four of his 10 students to be on stage for a performance and order does not matter .

i.e,

if we have to chose and order does not matter that means we have to use combination .

[tex]C_{n} ^{r} = \frac{n!}{r! (n-r)!}[/tex]

Total number of students (n)= 10

Number of selected students (r) = 4

[tex]C_{n} ^{r} = \frac{n!}{r! (n-r)!}[/tex]

[tex]C_{n} ^{r} = \frac{10!}{4! (6)!}[/tex]

[tex]C_{n} ^{r} = \frac{10*9*8*7}{4*3*2*1 }[/tex]

[tex]C_{n} ^{r} = \frac{5040}{24 }\\[/tex]

[tex]C_{n} ^{r} = 210[/tex]

Hence, Dance instructor can chose 4 students out of 10 in 210 ways

To know more about combination here :

https://brainly.com/question/27014146

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Answer:

-2, 2 and 3.

Step-by-step explanation:

each of the brackets could be zero.

So for example x + 2 = 0 gives x = -2.

Answer:

x=-2   x=2   x=3

Step-by-step explanation:

g(x) = (x + 2)(x − 2)(x − 3)

Set the function equal to 0

(x + 2)(x − 2)(x − 3) =0

Using the zero product property

x+2 =0  x-2 =0  x-3 =0

Solve each equation

x=-2   x=2   x=3

These are the zeros

Answer:

[tex] \boxed{ \bold{ \boxed{ \sf{ - 5 {x}^{5} + 2 {x}^{3} - 6x}}}}[/tex]

Step-by-step explanation:

[tex] \sf{( {x}^{5} + {x}^{3} ) - (6x - {x}^{3} + 6 {x}^{5}) }[/tex]

When there is a ( - ) in front of an expression in parentheses , change the sign of each term.

Also, remove the parentheses

⇒[tex] \sf{ {x}^{5} + {x}^{3} - 6x + {x}^{3} - 6 {x}^{5} }[/tex]

Collect like terms

⇒[tex] \sf{ {x}^{5} - 6 {x}^{5} + {x}^{3} + {x}^{3} - 6x}[/tex]

⇒[tex] \sf{ - 5 {x}^{5} + 2 {x}^{3} - 6x}[/tex]

Hope I helped!

Best regards!!

Equation to represent amount of money Jerry has after working x hours is

y = $7x + $20

A linear equation is an equation in which the highest power of the variable is always 1. It is also known as a one-degree equation.

Given,

Jerry makes $7 per hour

He has $20.

Jerry works for x hours

Amount Jerry made working x hours = $7x

Then, equation for total amount y Jerry has after working x hours

y = $7x + $20

Hence, y = $7x + $20 is equation that represents the total amount of money Jerry has after working x hours.

Learn more about linear equation here:

https://brainly.com/question/11897796

#SPJ6

Answer:

1/8

Step-by-step explanation:

1/4 ÷ 2

copy dot flip

1/4 * 1/2

1/8