What is the power
property of exponents?

Answer:

Option (A)

Step-by-step explanation:

Let the Sine of the given angle θ is,

Sinθ = [tex]\frac{x}{y}[/tex]

Then θ = [tex]\text{Sin}^{-1}(\frac{x}{y} )[/tex]

From the given values in the question,

Sinθ = [tex]\frac{7}{29}[/tex]

θ = [tex]\text{Sin}^{-1}(\frac{7}{29} )[/tex]

θ = 13.97°

Therefore, measure of the angle 'θ' will be 13.97°.

Option (A) will be the answer.

The formula for slope is y=mx+b.

In this problem m=3; meaning the slope is 3.

Answer:

m = 3

Step-by-step explanation:

y = 3x + 6

Slope formula

y = mx + b

m = 3

Answer:

your answer is 19.34

Step-by-step explanation:

let the number be x

half a number = ½ x

three times means multiplied by three

so,

3( ½ x) + 7 = 36

3( ½ x) = 36 - 7

3( ½ x) = 29

½ x = 29/3

½ x = 9.67...

x = 9.67 × 2           (when we moved  ½ on the other side of the equal sign it                                      ›                               turns into 2/1 )

x = 19.34

Answer:

a) >

b) =

c) =

d ) >

this number 8

9 .A B B C C C D E E F F F G H H I I I J KK L L L M NN OOO P QQ RRR S TT UUU V WW XXX Y ZZZ

THE 45TH LETTER IS W

Answer:

3 is right answer

Step-by-step explanation:

see in attached picture

hope it helped you:)

Answer:

The answer is C.

The steps are :

[tex] {T}^{2} = ( \frac{4 {\pi}^{2} }{GM} ) \times {r}^{3} [/tex]

[tex] {T}^{2} \div ( \frac{4 {\pi}^{2} }{GM}) = {r}^{3} [/tex]

[tex] {T}^{2} \times \frac{GM}{4 {\pi}^{2} } = {r}^{3} [/tex]

[tex] \frac{GM {T}^{2} }{4 {\pi}^{2} } = {r}^{3} [/tex]

[tex] \sqrt[3]{ \frac{GM {T}^{2} }{4 {\pi}^{2} } } = r[/tex]

[tex]r = \sqrt[3]{ \frac{GM {T}^{2} }{4 {\pi}^{2} } } [/tex]

Answer :

C

[tex]r = \sqrt[3]{ \frac{ {T}^{2}GM} {4 {\pi}^{2} } } [/tex]

Step-by-step-explanation :

[tex] {t}^{2} = ( \frac{4 {\pi}^{2} }{gm} ) {r}^{3} \\ {t}^{2} = \frac{4 {\pi}^{2} {r}^{3} }{gm} [/tex]

[tex] {t}^{2} gm = 4 {\pi}^{2} {r}^{3} \\ \frac{ {t}^{2} gm}{4 {\pi}^{2} } = \frac{4 {\pi}^{2} {r}^{3} }{4 {\pi}^{2} } [/tex]

[tex] {r}^{3} = \frac{ {t}^{2} gm}{4 {\pi}^{2} } [/tex]

[tex] \sqrt[3]{ \frac{ {t}^{2} gm}{4 {\pi}^{2} } } = \sqrt[3]{r} [/tex]

[tex]r = \sqrt[3]{ \frac{ {t}^{2} gm}{4 {\pi}^{2} } } [/tex]

-1/2( 3x -4) = 11

Use distributive properties:

-3/2 + 2,= 11

Subtract 2 from both sides:

-3/2x = 9

Divide both sides by -3/2

X = 9/ -3/2

X = -6

The answer is c. -6

Answer:

$225

Step-by-step explanation:

Given that:

Principal = $6,000

Interest rate = 5%

Time = 1 year

Taxes paid = 25% on the interest earned

To find:

Money earned after paying taxes ?

Solution:

First of all, let us calculate the total interest earned:

Formula for Simple Interest is given as:

[tex]SI =\dfrac{PRT}{100}[/tex]

Where P is the principal

R is the rate of interest

T is the time taken

Putting the given values:

[tex]SI =\dfrac{6000 \times 5\times 1}{100} =\$300[/tex]

Now, it is given that 25% of the interest earned is given as taxes.

Taxes paid = 25% of $300

[tex]\Rightarrow \dfrac{25}{100} \times 300 =\$75[/tex]

Therefore, the money earned = Interest earned - Taxes paid

The money earned = $300 - $75 = $225

Answer:

  2

Step-by-step explanation:

If the number must be even, the units digit must be 8. That leaves 2 choices for the tens digit. The possible numbers are ...

  78

  98

There are 2 of them.

Answer: Only two: 78 and 98

Step-by-step explanation: 8 is the only even number available to put in the units place where even or odd is determined. With no repetition allowed, the only possibilities left are to switch positions of the 7 and 9 in the tens place.

Given:

(1) DC = 6x, and DA = 4x + 18, find the value of x. Then find AD, DC, and AC

(2) EB = 4y - 12, and ED = y + 17. Find y. Then find ED, DB and EB.

x = 9, AD = 54, DC = 54, AC = 108

y = 23, ED = 40, DB = 40, EB = 80

The diagram for this question has been attached to this response.

(1) From the diagram, it can be observed that;

(a) DC and DA have equal lengths. i.e

=> DC = DA             ---------------------(i)                  

(b) AC = DA + DC    --------------------(ii)

But;

DC = 6x

DA = 4x + 18

Substitute the values of DC and DA into equation (i) as follows;

6x = 4x + 18          [Solve for x]

6x - 4x = 18

2x = 18

x = 9

Since x = 9, then

DC = 6x = 6(9) = 54

DA = 4x + 18 = 4(9) + 18 = 54

Therefore

DC = 54

AD = DA = 54

AC = 54 + 54 = 108       [using equation (ii)]

(2) Also, from the diagram, it can be observed that;

(a) ED and DB have equal lengths. i.e

=> ED = DB             ---------------------(iii)                  

(b) EB = ED + DB    --------------------(iv)

=>EB = ED + ED        [since ED = DB]

=>EB = 2ED             ------------------(v)

But;

EB = 4y - 12

ED = y + 17

Substitute the values of EB and ED into equation (v) as follows;

4y - 12 = 2(y + 17)          [Solve for y]

4y - 12 = 2y + 34

4y - 2y = 34 + 12

2y = 46

y = 46 / 2

y = 23

Since y = 23, then

EB = 4y - 12 = 4(23) - 12 = 80

ED = y + 17 = 23 + 17 = 40

Therefore

EB = 80

ED = DB = 40

Answer:

x = 9, AD = 54, DC = 54, AC = 108

y = 23, ED = 40, DB = 40, EB = 80

Step-by-step explanation:

Answer:

see below (I hope this helps!)

Step-by-step explanation:

To find the distance between two points, we can use the formula d = √(x₂ - x₁)² + (y₂ - y₁)² where d = distance and (x₁, y₁), (x₂, y₂) are the points. Therefore:

d = √(-6 - 2)² + (2 - (-6))²

= √(-4)² + (8)²

= √16 + 64

= √80 ≈ 8.944272

Answer:

Dr. Hong prescribed the most medicine

Dr. Evans prescribed the less medicine

Step-by-step explanation:

Dr. Hong =0.019 liters more than Dr.Tannenbaum

Dr.Evans prescribed 0.02 Less than Dr.Hong.

Let

Dr.Tannenbaum=x liters

Dr. Hong =0.019 + x liters

Dr. Evans= 0.019 + x - 0.02 liters

= x - 0.001 liters

Therefore,

Dr. Hong prescribed the most medicine

Dr. Evans prescribed the less medicine

Answer:

x = 30

Step-by-step explanation:

The sum of the 3 angles in a triangle = 180° , thus

x + 4x + 30 = 180

5x + 30 = 180 ( subtract 30 from both sides )

5x = 150 ( divide both sides by 5 )

x = 30

Answer:

(-4, -5.5).

Step-by-step explanation:

7x - 4y = -6

-5x + 4y = -2   Adding these 2 equations:

2x = -8

x = -4

Substituting for x:

7(-4) - 4y = -6

-4y =  - 6 + 28 = 22

y = -5.5.

Answer:

(-3,-2)

Step-by-step explanation:

well, you take the difference between the midpoint and given endpoint and add it on in the other direction

Hello, please consider the following.

[tex]\begin{aligned}1280x^{11}-405x^7&=5x^7(256x^4-81)\\\\&= 5x^7(16^2(x^2)^2-9^2)\\\\&=5x^7(16x^2-9)(16x^2+9)\\\\&=5x^7((4x)^2-3^2)(16x^2+9)\\\\&\large \boxed{=5x^7(4x-3)(4x+3)(16x^2+9)}\end{aligned}[/tex]

So, the last one is the correct answer.

Thank you.

Answer: Hi!

A number that is bigger than 5 2/3 but smaller than 6 could be 5.7.

A number that is bigger than 5.6 but smaller than 5 2/3 could be 5.62.

Hope this helps!

In fact 5 2/3 means 5+2/3 for this. So,5+2/3 = 17/3 = 5.6

For first question, if "numbers" are also include rational numbers, you can write any rational number according to this interval. For example, 5.7 , 5.75, 5.9

But the second one, the interval that is shown us has the same value 5.6 and 5.6. So you cannot find a number which should bigger 5.6 and smaller 5.6 . It seems impossible I mean.

Answer:

Step-by-step explanation:

To find the value of y when x = 8 we must first find the relationship between the two variables.

The statement

y varies directly with variable x is written as

y = kx

where k is the constant of proportionality

when

x = 12

y = 3

Substitute the values into the above formula and solve for k

That's

3 = 12k

Divide both sides by 12

[tex]k = \frac{1}{4} [/tex]

So the formula for the variation is

[tex]y = \frac{1}{4} x[/tex]

when

x = 8

[tex]y = \frac{1}{4} \times 8[/tex]

we have the final answer as

Hope this helps you

Answer:

x=150°

Step-by-step explanation:

A=180-60=120

B=180-60=120

C=45

D=360-120=240

E=45

The sum of the interiors of a polygon is (n-2)*180.  Since this is a hexagon, (6-2)*180=4*180=720. SO..

B=720-120-120-45-240-45=150

Assuming the questions is asking to solve for x, the angle is 150°

Answer:

180/1000 or 18/100 0.18

Step-by-step explanation:

The repeating decimal 0.18 to a fraction is 2/11

From the question, we have the following parameters that can be used in our computation:

Number =  0.18

Express as fraction

So, we have

Number =  18/100

Subtract 1 from the denominator

Number =  18/99

Simplify

Number =  2/11

Hence, the fraction is 2/11

Read more about fraction at

brainly.com/question/31896427

#SPJ6

Answer:

-30x^3+5x^2

Step-by-step explanation:

Answer:

Vertically Opposite Angles are the angles opposite each other when two lines cross "Vertical" in this case means they share the same Vertex (corner point), not the usual meaning of up-down.

Step-by-step explanation:

Answer:

Step-by-step explanation:

the mean would be appropriate measure of center to describe the data shown in the histogram because the data is symmetrical.A symmetric histogram is a distribution in which the 2 halves appear to be the same on both sides.

Step-by-step explanation:

k(-5)= 6.(-5)+100

=30 + 100

=70

Answer:

70

Step-by-step explanation:

We can substitue -5 in for x:

k(-5) = 6(-5) + 100 = 70.

Here's why:

sqrt(49) = sqrt(7^2) = 7

We can write 7 as a ratio or fraction of two integers 7 = 7/1

This shows that 7 is rational, so that makes sqrt(49) rational as well.

An irrational number is one where we cannot write it as a fraction of two integers. An example of an irrational number would be pi. Another irrational number is sqrt(2).

Note: the denominator can never be zero.

Answer:

  B.  32

Step-by-step explanation:

The product of the lengths of segments to the near and far circle intercepts are the same, where the length is measured from the point where the secant and tangent meet. The tangent point counts as both circle intercepts, so we have ...

  30×30 = 18×(18 +x)

  900 = 324 +18x . . . . eliminate parentheses

  576 = 18x . . . . . . . . . subtract 324; next, divide by 18

  32 = x

Answer:

bc= 12 :)

Step-by-step explanation:

35a_11a+4

24a+4

hope it helps

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Hi my lil bunny!

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Let's simplify step-by-step.

[tex]9a * (3) + 8a + 4 -11a[/tex]

[tex]= 27a + 8a + 4 + -11a[/tex]

Combine Like Terms:

[tex]= 27a + 8a + 4 + -11a \\= ( 27a + 8a + -11a ) + (4) \\= 24a + 4[/tex]

Answer : [tex]\boxed {24a + 4}[/tex]

❧⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯☙

●✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎❀✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎●

Have a great day/night!

❀*May*❀

Answer:

8 questions each for short answer questions and 8 questions of Multiple Choice Questions type.

A total of 16 questions.

Step-by-step explanation:

Given:

The number of multiple choice questions and number of short answer type questions are same.

Let it be equal to [tex]x[/tex].

Average Time taken to attempt multiple choice question = 2 minutes

Total time taken to attempt multiple choice question = 2[tex]\times x[/tex] minutes

Average Time taken to attempt short answer type question = 3.5 minutes

Total Time taken to attempt short answer type question = 3.5[tex]\times x[/tex]

Total time for test should be less than 45 minutes.

Therefore, the equation becomes:

[tex]2x+3.5x<45\\\Rightarrow 5.5x <45\\\Rightarrow x<8.18[/tex]

Hence, the value of [tex]\bold{x=8}[/tex]

Therefore, the answer is:

8 questions each for short answer questions and 8 questions of Multiple Choice Questions type.

A total of 16 questions.

Answer:

Step-by-step explanation:

2n+3.5n <45