Rewrite the expression in the form a^n
a^2/5 (a^-3)

Answer: C

Step-by-step explanation: -3/4 is equal to -.75 ,

Answer:

D

Step-by-step explanation:

5.50. 5.50+0.25= 5.75, 5.75+0.25= 6.00, 6.00+0.25= 6.25, 6.25+0.25= 6.50

Option D is the answer:

5.50, 5.75, 6.00, 6.25, 6.50...

Answer:

26.6667

Step-by-step explanation:

.15x=100

Divide each side by .15.

x=666.6667

.04(666.6667)=26.6667

Answer:

26(approx.)

Step-by-step explanation:

15/100 times x = 100

3/20 times x = 100

3x/20 = 100

3x = 2000

X= 666 2/3

So,

4/100 x 666.67

1/25 x 666.67 = 26

Answer:

a₁ = 15 and common difference = 8 so the formula is:

aₙ = 15 + (n - 1) * 8

= 8n + 7

Answer: The answer is B I believe

Step-by-step explanation:

Answer:

y-intercept : (0,5), D

axis of symmetry : x = 3, E

Answer: x= 2

Step-by-step explanation:

(8 X 4)+[8 X (-x)]= 7x+2

32- 8x = 7x+2

-8x-7x =2-32

-15x = -30

x= 2

Answer:

x=2

Step-by-step explanation:

[tex]8(4-x)=7x+2[/tex]   Original equation

[tex]32-8x=7x+2[/tex]   Distributive property on left

[tex]30=15x[/tex]   Combine like terms and isolate the variable (x)

[tex]2=x[/tex]   Divide both sides by 15 (Division Property of Equality)

Answer:

173.6

Step-by-step explanation:

0.7(248)

173.6

Answer:

£ 173.6

Step-by-step explanation:

£248 *0.30= 74.4

£248 -74.4 =173.6

Answer:

C

Step-by-step explanation:

The diagonals of a rhombus are perpendicular bisectors of each other.

Thus the angle at the intersection of the diagonals is 90°

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

Sum the angles in the lower triangle and equate to 180, that is

90 + x + x + 40 = 180

2x + 130 = 180 ( subtract 130 from both sides )

2x = 50 ( divide both sides by 2 )

x = 25 → C

The value of x is 25.

What are some of the properties of a rhombus?

Given

ABCD is a rhombus,

∠CAD = x°,

∠BDA = (x + 40)°.

Find the equation in x

Let the point where the diagonals intersect be E.

Then, using the property of the rhombus ∠AED = 90°.

We know, in a triangle that the sum of all the three interior angles equals 180°. So, we get,

     ∠AED + ∠BDA + ∠CAD = 180°

⇒                 ∠BDA + ∠CAD = 180° - ∠AED

                                                = 180° - 90° = 90°      (∠AED = 90°)

Put the given values of these angles,

          (x + 40)° + x° = 90°.

This is the equation to be solved to obtain x.  

Solve for x  

           (x + 40)° + x° = 90°

⇒   (2x)° = 90° - 40° = 50°

⇒         x° = (50 / 2)°

⇒         x = 25.

The required value of x is 25.

Learn more about the properties of a rhombus here

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Answer:

5.75 feet is the same as 5 ft 9 inches (because 12 in = 1 ft and 0.75 * 12 = 9 so its 9 in). 7 ft 10 in - 5 ft 9 in = 2 ft 1 in.

Answer:

x = 6

Step-by-step explanation:

To make a fraction undefined, the denominator would have to be equivalent to zero. If that is so, x^2 + x - 42 would have to equal 0, and we would have to solve for the value of x;

[tex]x^2 + x - 42 = 0,\\Factored Equation = \left(x-6\right)\left(x+7\right),\\\left(x-6\right)\left(x+7\right) = 0,\\\\Zero Factor Principle, \\x - 6 = 0, and, x + 7 = 0\\\\x = 6, x = - 7\\\\Solution = Either, 6 / - 7[/tex]

We can take x to be either 6 or - 7, but as the question asks us to state only one value, I will take x = 6.

Answer:

The first term as 2.

Pattern: Multiply the previous term and 2 to get the next term.

Step-by-step explanation:

The pattern is every term is 2× the previous term.

The sequence of the differences, 2, 4, 8, 16, 32, … is geometric. The pattern is every term is 2 times the previous term.

The geometric series is a series in which the ratio of two consecutive numbers is constant.

The sequence of the differences, 2, 4, 8, 16, 32, … is geometric.

So, The ratio of two consecutive numbers is constant.

r = 4/2 = 2

r = 8/4 = 2

Thus, The pattern is every term is 2 times the previous term.

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Answer:

4 sets

Step-by-step explanation:

1 gallon contains 8 pints. It takes 2 pints per table, so we should divide 8 by 2.

By doing this, we get 4, therefore he can stain 4 sets of tables with a gallon of stain.

Answer:

Step-by-step explanation:

The formula for determining the volume of a cylinder is expressed as

Volume = πr²h

Where

r represents the radius of the cylinder

h represents the height of the cylinder

π is a constant

The formula for determining the volume of a cone is expressed as

Volume = 1/3πr²h

Where

r represents the radius of the cone

h represents the height of the cone

This means that the volume of the cone is 1/3 × volume of cylinder. Since the volume of the given cylinder is 230 cubic units, then

Volume of cone = 1/3 × 230 = 76.7 cubic units

Answer:

1. y = -2n + 9

2. y = (1/2)x + 1/2

Step-by-step explanation:

1.

The equation of a line is denoted by y = mx + b, where m is the slope and b is the y-intercept.

Slope is calculated by taking two coordinates and dividing the difference of the y-coordinates by the difference of the x-coordinates. The y-intercept is where the line intersects the y-axis.

Let's choose any two points on the line: (4, 1) and (3, 3). Then:

slope = m = (3 - 1) / (3 - 4) = 2 / (-1) = -2

Now, we can also see that at the point (0, 9), the line intersects the y-axis, so that means b = 9.

The equation is thus y = -2n + 9.

2.

Let's again choose any two points to find the slope: (1, 1) and (3, 2). Then:

slope = m = (2 - 1) / (3 - 1) = 1/2

We can see that the line crosses the y-axis at the point (0, 1/2), so that means b = 1/2.

The equation is thus y = (1/2)x + 1/2.

~ an aesthetics lover

Answer:

1. y = -2x + 9

2. y = (1/2)x + 1/2

Step-by-step explanation:

There was a mistake on the last one so I would like to correct it it is

y= -2x+9

The other one said -2n its -2x

Answer:

3

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

Just stick it into a calculator lol

Answer:

3(3+4n)

Step-by-step explanation:

Answer:16

Step-by-step explanation:

32/16=2

8*2=16

Hope that helps :D

Answer:

16

Step-by-step explanation:

Direct variation

y = kx

16 = k*8

Divide each side by 8

16/8 = 8k/8

2 = k

The equation is y =2x

y =2x

Let y =32

32 = 2x

Divide by 2

32/2 = x

16 =x

Answer:

m = 57/14 = [tex]4\frac{1}{14}[/tex]

Step-by-step explanation:

The polynomial can be expressed as follows;

P(x) = 2·x³ - m·x² + x - 5·m

(2·x³ - m·x² + x - 5·m) ÷ (x - 2)

          2·x²

          (-m - 2)·x² + x

                   (-m - 2)·x

                      (m + 3)·x - 5·m

                      (m + 3)·x

                                      -5·m

The remainder = -5·m/(x -2)

Similarly, dividing by (x + 1) will give a remainder of -5·m/(x + 1)

But -5·m/(x -2) = 4×-5·m/(x + 1)

5/(x -2) = 20/(x + 1)

5(x + 1) = 20(x -2)

20x - 5x= 40 + 5

x = 45/15 = 3

2·3³ - m·3² + 3 - 5·m = 54 - 9m + 3 - 5m = 57 - 14m

(57 - 14m)/1 = (57 - 14m)/4

228 - 56m =57 - 14m

171 = 56m-14m =  42m

m = 171/42 = 57/14.

Answer:

7p + 3

Step-by-step explanation:

3p+5+4p-2

Rearrange the terms.

3p + 4p + 5 - 2

Add or subtract like terms.

(3+4)p + 3

(7)p +3

Answer:

Step-by-step explanation:

6 - 5y - 2y

= 6 - 7y

hope this helps

plz mark it as brainliest!!!!!!!

Answer:

[tex]5x+3y[/tex]

Step-by-step explanation:

[tex]6x-x+5y-2y[/tex]

The coefficient of -x is -1.

[tex]6x-1x+5y-2y[/tex]

Factor the variables.

[tex]x(6-1)+y(5-2)[/tex]

Subtract the numbers.

[tex]x(5)+y(3)[/tex]

[tex]5x+3y[/tex]

The answer is 5x+3y.

Answer:

The price at the end of the week is $33.

Step-by-step explanation:

We are given that on Monday the price of a company’s stock is $30 per share. On Tuesday, the stock price drops $3, on Wednesday it rises $7, on Thursday it rises $3, and on Friday it drops $4.

The price of a company’s stock on Monday = $30 per share

So, the mathematical statement that represents the situation is given by;

Price of company’s stock on Monday = $30

On Tuesday, the stock price drops $3, so the price of company’s stock on Tuesday = Price of company’s stock on Monday - Drop in price on Tuesday

              = $30 - $3 = $27

On Wednesday, the stock price rises $7, so the price of company’s stock on Wednesday = Price of company’s stock on Tuesday + Rise in price on Wednesday

              = $27 + $7 = $34

On Thursday, the stock price rises $3, so the price of company’s stock on Thursday = Price of company’s stock on Wednesday + Rise in price on Thursday

              = $34 + $3 = $37

On Friday, the stock price drops $4, so the price of company’s stock on Friday = Price of company’s stock on Thursday - Drop in price on Friday

              = $37 - $4 = $33

Hence, the price at the end of the week is $33.

Answer:

∠ BOC = 42°

Step-by-step explanation:

Since OA and OC are perpendicular , that is at 90° to each other, then

∠ AOB + ∠ BOC = 90 , substitute values

5x + 8 + 6x - 6 = 90

11x + 2 = 90 ( subtract 2 from both sides )

11x = 88 ( divide both sides by 11 )

x = 8

Thus

∠ BOC = 6x - 6 = 6(8) - 6 = 48 - 6 = 42°

Answer:

A) 40

Step-by-step explanation:

The angle adjacent 40 is complementary to it, meaning that it must have a measure of 90-40=50 degrees. This angle is a vertical angle with the one inside the triangle, meaning that it also has an angle of 50 degrees. Now that you know two of the angles in the triangle and you know that all of the interior angles of a triangle add up to 180 degrees, you can find angle 1:

[tex]\angle 1=180-90-50=40^{\circ}[/tex]

Hope this helps!

Answer:

<1 = 40

Step-by-step explanation:

Corresponding angles are equal and <1 and 40 are corresponding angles on parallel lines

Answer:

False

Step-by-step explanation:

Is the following statement true or false?

The intersection of a plane and a ray can be a line segment.

Answer:

D: y= -2x -1

Step-by-step explanation:

The line crosses the y axis at -1 and using the "rise over run" phrase you can tell that the next point is 2 up and 1 over (2/1 =2) the line is also negative because it moves down from left to right. Therefore, y= -2 -1

Answer:

For an nth term U(n) = a + (n - 1)d

n = number of terms

a = first term

d = common difference

a = 5

d = 2 - 5 = - 3

U(n) = 5 + (n -1)-3

= 5 - 3n + 3

= 8 - 3n

The formula for the sequence is 8 - 3n

Hope this helps

Answer:

x=1/2. y=4

Step-by-step explanation:

4(2x+3y=13)=8x+12y=52

2(4x-y=-2)=8x-2y=-4

subtract equation one from equation two to get

14y=56 then u will divide bothe sides by 14. for x u substitute y in equation one

Answer:

x = 1/2 y = 4

Step-by-step explanation:

Equation 1

2x + 3y = 13

Equation 2

4x - y = -2

Multiply equation 2 by 3

12x - 3y = -6

Add equation 1 to 3

14x = 7

x = 7/14

x = 1/2

Substitute x into equation 1

2(1/2) + 3y = 13

3y = 13 -1

3y = 12

y= 12/3

y = 4

x =1/2 y = 4

Hope this helps.

Answer:

4

Step-by-step explanation:

Multiples of 7 and 3 are 21, 42, 63, 84

Hope this helps.

Answer:

21, 42, 63, 84

Step-by-step explanation:

Cards with both star and circle are multiples of both 3 and 7, ie 3*7= 21

21, 21*2= 42, 21*3= 63, 21*4= 84

So 21, 42, 63 and 84 are the required numbers

Answer:

See below

Step-by-step explanation:

"Like terms" are terms with the same variable or exponents.

You can add or subtract these just like you would with regular numbers.

Examples:

2x + 4x = 6x

5xy + 7xy = 12xy

6[tex]x^{2}[/tex] + 5[tex]x^{2}[/tex] = 11[tex]x^{2}[/tex]

Let me know if you need more examples or have any questions :)