Find the base in the following problem. Round the answer to a whole number. 12.5% of ____ is 130.

Answer:

A

Step-by-step explanation:

Here in this question, we want to select which of the options particularly represents what was given in the question.

Mathematically 10^4 means that we are raising 10 into a continued exponential raising up to 4 times.

So 10^4 is pronounced as the first option in the question.

10 raised to power 10 , raised to power 10 etc

Answer:

Check below

Step-by-step explanation:

Hi, let's check

1.[tex](7x+20) + 12 \:and\: 7x +(24+12)\\[/tex]

In this case we have the Associate Property, since we can associate two, or even three terms without modify the final result.

2.[tex]21x+28y \:=\: 7(3x + 4y)[/tex]

Distributive Property, note that that the right side is the left side rewritten as a product, with the GCF outside the brackets.

3. Commutative Property

[tex]7y + 6x \:and\: 6x + 7y[/tex]

The order of these sum does not compromise the result.

4. [tex]x+4y-Sy \:and\: x-5y[/tex]

Combining like terms, similar terms are operated together.

Answer: rotate 180 degrees and reflection across the line y=2

Step-by-step explan

Answer:

Step-by-step explanation:

Answer:

B. 1296 in.^2

Step-by-step explanation:

The rectangles are similar, and sides ST and YZ are corresponding sides.

The linear scale factor is k = YZ/ST = 24/8 = 3

The area scale factor is k^2 = 3^2 = 9

A = 144 sq in. * k^2 = 144 sq in. * 9 = 1296 sq in.

Answer: B. 1296 in.^2

Answer:

4)1,296in^2

5)510.4ft

Step-by-step explanation:

4)

24/8=3 This is the dilation

144/8=18 This is the side length for QRST

18*3=54 The side length for WXYZ

24*54=1296 The area of WXYZ

5)

319*8/5 Your fence with a scale factor of 8/5

319*1.6 Changing 8/5 into fraction form

319*1.6=510.4 The length of the friend's fence.

Hope this helps. I could not see the end of the last question so I am sorry if it is not written properly.

Have a good day!

Answer:

-12p^7q^9

Step-by-step explanation

-\left(-\frac{2}{3}pq^4\right)^2\cdot \:27p^5q

-27\cdot \frac{2^2p^2q^8}{3^2}p^5q

Multiply the fractions

\frac{2^2p^2q^8\cdot \:27p^5q}{3^2}

-\frac{2^2\cdot \:27p^7q^9}{3^2}

-2^2\cdot \:3p^7q^9

Answer:

64.08

Step-by-step explanation:

3^16.90+1*20.50-7.12

Answer:

5

Step-by-step explanation:

We need to find the value of AP

First, lets compare the perimeters:

Sum of the perimeters of smaller triangles:

As BP+PC= BC we can put it as:

and

Plug in values of perimeters:

Answer is: 5

Answer:

see explanation

Step-by-step explanation:

Using the translation rule (x, y ) → (x - 2, y + 4 )

Subtract 2 from the original x- coordinate and add 4 to the original y- coordinate, thus

A(0, 3 ) → A'(0 - 2, 3 + 4 ) → A'(- 2, 7 )

B(- 2, - 4 ) → B'(- 2 - 2, - 4 + 4 ) → B'(- 4, 0 )

C(1, 5 ) → C'(1 - 2, 5 + 4 ) → C'(- 1, 9 )

Answer:

Option C. 3077.2 mm³

Step-by-step explanation:

Data obtained from the question include the following:

Diameter (d) = 17 mm

Height (h) = 60 mm

Pi (π) = 3.14

Volume =?

Next, we shall determine the radius of the cone. This is illustrated below:

Diameter (d) = 17 mm

Radius (r) =.?

Radius (r) = diameter (d)/2

r = d/2

r = 14/2

r = 7 mm.

The radius therefore, is 7 mm.

To know how much frozen water

is in the icicle, we shall calculate the volume of the icicle using the formula for calculating the volume of a cone. This is illustrated below:

Height (h) = 60 mm

Pi (π) = 3.14

Radius (r) = 7 mm

Volume =..?

V = ⅓πr²h

V = ⅓ × 3.14 × 7² × 60

V = 3.14 × 49 × 20

V = 3077.2 mm³

Therefore, the amount of frozen water in the icicle is 3077.2 mm³

Answer:

C 3,077.2 mm

Step-by-step explanation:

Answer:

Our system of equations is:

We are looking for x

Let's express y using x

Replace x in the second equation with the result

4x²+20x+3=0 is a quadratic equation

Let Δ be our discriminant

Δ= 20²-4*4*(-3)

Δ=448 > 0 so we have two solutions for x

let x and x' be the solutions

so the solutions are:

-5.15 and 0.15

Answer:

0.5346

Step-by-step explanation:

Find the z-scores.

z = (x − μ) / σ

z₁ = (89 − 100) / 15

z₁ = -0.73

z₂ = (111 − 100) / 15

z₂ = 0.73

Find the probability.

P(-0.73 < Z < 0.73)

= P(Z < 0.73) − P(Z < -0.73)

= 0.7673 − 0.2327

= 0.5346

Answer:

to find the slope of a linear function, there is only one formula

this formula requires two points, which are stated in tables and graphs alike

these points do not need to be one after the other as it is slope and slope predicts what the next point graphed will be.

Formula for Slope:

this should help. take any two points and substitute for each; y values in the correct spots and x values in their correct spots

make sure to put the values of second point where it is labelled y2 and x2 And make sure to substitute first point values in those labelled y1 and x1

It is important to remember that if this becomes a fraction, SIMPLIFY

We can write the slope of the function as -

{m} = (9 - 5)/(4 - 0).

A function is a relation between a dependent and independent variable. We can write the examples of function as -

y = f(x) = ax + b

y = f(x, y, z) = ax + by + cz

Given is a table for the function as -

{x}   0   4

{y}   5   9

We can write the slope of the function as -

{m} = (9 - 5)/(4 - 0)

Therefore, we can write the slope of the function as -

{m} = (9 - 5)/(4 - 0).

To solve more questions on functions, visit the link below-

https://brainly.com/question/30194223

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Answer:

second option

Step-by-step explanation:

Answer:

For numerator

2sin(2∅)=2(2sin∅cos∅)

For Denominator

(1+cos(2∅))(1+tan²∅)

=(1+cos(2∅))(sec²∅)

=(1+cos²∅-sin²∅)(sec²∅)

Recall. 1-sin²∅=cos²∅

=2cos²∅(sec²∅)

=2.

Answer is...

2(2sin∅cos∅)/2

=2sin∅cos∅ or sin(2∅)

Answer:

k+2 or k=2

Step-by-step explanation:

combine -5 and 7 to get your answer

Answer:

K+2

Step-by-step explanation:

K - 5 + 7 ....add -5 and 7

K+2

Answer:

approximately 2.46

Step-by-step explanation:

Answer:

2.4666666666

Step-by-step explanation:

To Find How Much Larger Or Smaller Any Given Number Is To Another, Do (#1)/(#2). In This Case, 74/30 Into Google Does A Quick Job Of This Question!

Answer:

  B. 18.6

Step-by-step explanation:

The 'rule of 69' says the value will be doubled in 69/i years, where i is the annual interest rate in percent (compounded continuously). The interest rate is given as 3.7%, so the prediction is

  n = 69/3.7 = 10.649

  n ≈ 10.6

Answer:

The percentage by which the booster club fell short is 33% as shown on the chart

Step-by-step explanation:

To represent the given data pictorially, a pie chart is suitable

The circumference of the pie chart will represent the amount to be raised by the booster club and a sector of the circle which is two-thirds of the circumference represents the amount raised

Given that the amount raised = 2/3×Goal = $15,000, we have;

We represent the amount raised as a sector of the circle as follows;

Sector angle = 2/3×360° = 240°

Total sector of goal amount = Entire circle = 360°

Amount club fell short = 360° - 240° = 120°

The goal amount = 3/2 × $15,000

Percentage by which the club fell short = 120/360×100 = 1/3×100 = 33.33%

Answer:

(-2,-4)

Step-by-step explanation:

The vertex of a parabola is it's lowest (or highest, but lowest in this context) point. Your lowest point is (-2,-4), so that is your answer.

Answer:

[tex]AB = 10 units[/tex]

Step-by-step explanation:

The line of segment AB can be calculated using distance formula, [tex] d = \sqrt{(x2 - x1)^2 + (y2 - y1)^2} [/tex] , to calculate the distance between point A(6, 2) and point B(0, 10).

A(6, 2) can be (x1, y1),

B(0, 10) can be (x2, y2)

[tex] d = \sqrt{(0 - 6)^2 + (10 - 2)^2} [/tex]

[tex] d = \sqrt{(-6)^2 + (8)^2} [/tex]

[tex] d = \sqrt{36 + 64} [/tex]

[tex] d = \sqrt{100} [/tex]

[tex] d = 10 [/tex]

Answer:

1.475

Step-by-step explanation:

Answer:

2x - y = 3

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Given

x + 2y = - 2 ( subtract x from both sides )

2y = - x - 2 ( divide all terms by 2 )

y = - [tex]\frac{1}{2}[/tex] x - 1 ← in slope- intercept form

with slope m = - [tex]\frac{1}{2}[/tex]

Given a line with slope m then the slope of a line perpendicular to it is

[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{-\frac{1}{2} }[/tex] = 2 , thus

y = 2x + c ← is the partial equation

To find c substitute (2, 1) into the partial equation

1 = 4 + c ⇒ c = 1 - 4 = - 3

y = 2x - 3 ← equation in slope- intercept form

add 3 to both sides

y + 3 = 2x ( subtract y from both sides )

3 = 2x - y, thus

2x - y = 3 ← equation in standard form

]

Answer:

-2/3

Step-by-step explanation:

We have two points ( 0,3) and ( 3,1)

We can use the slope formula

m = (y2-y1)/(x2-x1)

  = (1-3) /(3-0)

   = -2/3

Answer:

-2/3

Step-by-step explanation:

Two points are given on the graph:

(0, 3) and (3, 1)

Use slope formula.

m = rise/run

m = (y₂ - y₁)/(x₂ - x₁)

x₁ = 0

y₁ = 3

x₂ = 3

y₂ = 1

m = (1 - 3)/(3 - 0)

m = -2/3

The slope of the line is -2/3.

Answer:

6n or 6 x n

Step-by-step explanation:

Answer:

Transformed   [tex]\,\,f(x)= -3\,(x-1)^2[/tex]

Step-by-step explanation:

The process of shifting the graph of the function 1 unite to the right can be obtained by subtracting 1 to the x-coordinate in the expression of the function:

[tex]f(x)=x^2\\new\,f(x) =(x-1)^2[/tex]

The process of stretching vertically the function, would be accomplished by multiplying now the full function by "3":

[tex]new \,\,f(x)= 3\,(x-1)^2[/tex]

the reflection over the x-axis is obtained by multiplying the full function by the constant "-1":

[tex]new \,\,f(x)= -3\,(x-1)^2[/tex]

Answer:

m∠CDE = 60°

Step-by-step explanation:

Given that the arc at the center = 2 times the arc at the circumference, we have;

Angle at the center = arc CE = 120°

Whereby the angle at the circumference is given as m∠CDE and it is opposite the circle arc CE

We note that m∠CDE is the acute angle between chord DC and DE

Therefore, we have;

Angle at the center = 120° = 2 times the arc at the circumference = 2 × m∠CDE

120° = 2 × m∠CDE

m∠CDE = 120/2 = 60°

Therefore the angle of m∠CDE is equal to 60°.

Answer:

Step-by-step explanation:

The median is 4, which is the middle number. If there is no middle number, get the average of the two numbers closest to the median.

The mean is 4, which is the average of all the numbers. you add all of them up and divide by how many integers there are in the list.

The mode is 6, which is the integer that is shown the most.

Answer:

mean=4

median=4

mode=6

Step-by-step explanation:

Mean: add 0+2+2+4+4+6+6+6+6=36

36/ (the amount of numbers) 9= 4

Median: cross out the numbers left to right until you get to the middle which is 4.

Mode: 6 occurred four times, which is the most out of any of the other numbers in this sequence, so the answer is 6.

Answer:

mMN + 150 = 180

Step-by-step explanation:

Circle O is shown. Line segment M P is a diameter. Line segment N O is a radius. Angle N O P is 150 degrees.

Given that:

NO is the radius and ∠NOP = 150°.

The angle addition postulate which states that a larger angle is formed when two smaller angles are placed side by side. If two angle x and y are small angles placed side by side, a big angle Z formed is given as:

z = x + y.

Therefore in circle O, using angle addition postulate:

mMN + ∠NOP = mMP

But mMP = 180° (angle on a straight line)

mMN +   ∠NOP = 180°

mMN + 150 = 180

Answer:

Step-by-step explanation:

When events are independent, the probability of some sequence of them is the product of the probabilities of the individual events in that sequence.

The probability of a child having spina bifida is 16% = 0.16, so the probability that the child will not have the condition is 1 - 0.16 = 0.84. The probability that 0 of 2 children will have spina bifida is ...

  p(0 for 2) = p(0 for 1)×p(0 for 1) = 0.84×0.84 = 0.7056

__

There are two ways that 1 of 2 children can have spina bifida: either the first one does, or the second one does. These are mutually exclusive conditions, so their probabilities add:

  p(1 for 2) = p(1 for 1)×p(0 for 1) +p(0 for 1)×p(1 for 1) = 0.16×0.84 +0.84×0.16

  p(1 for 2) = 0.2688

__

There is one way both children can have spina bifida:

  p(2 for 2) = p(1 for 1)×p(1 for 1) = 0.16×0.16 = 0.0256

__

In summary, our probability distribution is ...

  p(X=0) = 0.7056

  p(X=1) = 0.2688

  p(X=2) = 0.0256

Answer:

the width is 17.5 feet and the length is 82.5 feet.

Step-by-step explanation:

The house has a rectangular shape and we know that the length is 5 feet less than 5 times the width.

We will call the width x, thus, the length would be represented as 5x-5 (5 less than 5 times the width).

Since Darrin is going to hang garland around the perimeter of the house, we know that the perimeter is 2 times the length plus two times the width and this equals 200.

Let's write this in algebraic form

[tex]width = x\\length= 5x-5\\Perimeter= 2width +2length=200\\200=2(x)+2(5x-5)\\200=2x+10x-10\\200=12x-10\\200+10=12x\\210=12x\\210/12=x\\x=17.5[/tex]

Therefore, the width is 17.5 feet.

Now, the length is 5x-5, thus substituting the 17.5 in this equation we have:

[tex]5x-5=5(17.5)-5=87.5-5=82.5[/tex] feet

Therefore, the width is 17.5 feet and the length is 82.5 feet.