Find the value of the power.
89⁰

Answer: The reason that you would use addition to check subtraction is because it is the easiest, fastest, and most reliable way to check your subtraction problem.

Step-by-step explanation:

for example. you do something like: 42 - 19 = 23

you just add 19 and 23. if you get 42 then that means your answer if correct.

hope it helps

Answer:

3645, 10935

Step-by-step explanation:

1215*3 = 3645

3645*3= 10935

Answer:

[tex]3^{16/5}[/tex]

Step-by-step explanation:

[tex]3^3 \times \sqrt[5]{3} \\ \\ =3^3 \times 3^{1/5} \\ \\ =3^{16/5}[/tex]

The co-ordinates of the image after translation are R"(2,1),S"(-1,7) and T"(2,7).

A translation is a geometric change in Euclidean geometry that involves moving each point in a figure, shape, or space by the same amount in one direction. A translation can also be thought of as moving the origin of the coordinate system or as adding a constant vector to each point.

When a point is rotated 90° counter clockwise, the co-ordinates of the point say A(x ,y) changes to A"(y,-x).

The given co-ordinates are:  R(-7, - 5), S(-1,- 2), and T(-1.- 5 ).

So when this co-ordinates are translated by rotating 90° counterclockwise.

R(-7, -5) →R'(5,-7)

S(-1,- 2) →S'(2,-1)

T(-1.- 5) →T'(5,-1)

Now the figure is translated 3 units left and 8 units up the new co-ordinates is given by (x-3,y+8).

So when this co-ordinates are translated the new co-ordinates are:

R'(5,-7)→R"(2,1)

S'(2,-1)→S"(-1,7)

T'(5,-1)→T"(2,7)

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Answer:

108

Step-by-step explanation:

9(8 plus 4)

Simply do 8 plus 4 = 12 then 12x9=108

a. The stand form is f(x) = x^3 - 13x - 12

degree = 3

constant term = - 12

b. The stand form is g(x) = 3 x^3 - 39x - 36

degree = 3

constant term = - 36

Given data

f(x) = (x + 1)(x+3)(x-4)

g(x) = 3(x + 1)(x+3)(x-4)

for f(x) = (x + 1)(x+3)(x-4) we have

f(x) = (x + 1)(x+3)(x-4)

f(x) = ( x + 1 ) ( x^2 - 4x + 3x - 12 )

f(x) = (x + 1) ( x^2 - x - 12 )

f(x) =  x^3 - x^2  - 12x +  x^2 - x - 12

f(x) = x^3 - 13x - 12

degree = 3

constant term = -12

g(x) = 3(x + 1)(x+3)(x-4)

g(x) = 3(x + 1) ( x^2 - 4x + 3x - 12 )

g(x) = 3(x + 1) ( x^2 - x - 12 )

g(x) = 3 (  x^3 - x^2  - 12x +  x^2 - x - 12 )

g(x) = 3 ( x^3 - 13x - 12 )

g(x) = 3 x^3 - 39x - 36

degree = 3

constant term = - 36

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a) The rate % at the beginning of 2008 rounded off to four decimal places will be 25.1682 % per year.

b) The rate % at the beginning of 2017 rounded off to four decimal places will be 28.2573 % per year .

c) The rate % at the beginning of 2017 rounded off to two decimal places will be 28.26% per year.

What is a function ?

A function is a relationship between inputs and outputs where each input has precisely one output and the output can be linked to its input.

It is given that , a function which represents rate % is f(t) = 10.72 × [tex](0.9t + 10)^{0.3}[/tex]. Also , t = 0 corresponding to the year 2000.

The rate % of Americans age 55 and older changing at the beginning of 2008 i.e., t = 8 , rounded off to four decimal places will be :

So : f(t) = 10.72 × [tex](0.9* 8 + 10)^{0.3}[/tex]

f(t) = 10.72 × [tex](7.2+ 10)^{0.3}[/tex]

f(t) = 10.72 × [tex](17.2)^{0.3}[/tex]

f(t) = 10.72 × 2.347

f(t) = 25.1682 % per year

The rate % of Americans age 55 and older changing at the beginning of 2017 i.e., t = 17 , rounded off to four decimal places will be :

f(t) = 10.72 × [tex](0.9* 17 + 10)^{0.3}[/tex]

f(t) = 10.72 × [tex](15.3 + 10)^{0.3}[/tex]

f(t) = 10.72 × [tex](25.3)^{0.3}[/tex]

f(t) = 10.72 × 2.6359

f(t) = 28.2573 % per year  

The rate % of Americans age 55 and older changing at the beginning of 2017 rounded off to two decimal places will be :

f(t) = 28.26% per year  

Therefore , the answers are  :

a) The rate % at the beginning of 2008 rounded off to four decimal places will be 25.1682 % per year.

b) The rate % at the beginning of 2017 rounded off to four decimal places will be 28.2573 % per year .

c) The rate % at the beginning of 2017 rounded off to two decimal places will be 28.26% per year.

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Answer:

.49 if you're dividing them.

Step-by-step explanation:

Answer: 11.5652174

.

Hello I'm Ash I'm here to help you! <3

Answer:

11 Remainder 26

Step-by-step explanation:

I hope this Helps!

AshTheNeko <3

Answer:

Step-by-step explanation:

You want to see two other ways to write the ratio 3:8.

A ratio is a way of saying that some number of one thing is always associated with some (often different) number of another thing. The two things may or may not be measured with the same units, and may or may not refer to parts of the same object.

Here, we're concerned with how we write a ratio. One way is shown in the problem statement:

  3 : 8 . . . . . . . . using a colon

Two other ways to write the same ratio are ...

  3 to 8 . . . . . . using the word "to"

  3/8 . . . . . . . . using a fraction bar

__

Additional comment

A ratio is in "simplest form" if the numbers involved are mutually prime (have no common factors).

Sometimes an extended ratio is useful for specifying the relationship between more than two measures, for example, 3 : 8 : 5.

60 percent of the original price is saved if the futon bed is purchased.

The original price of the futon bed is $500

The new price is $200

The first step is to calculate the price change

Price change= 500-200

= 300

The amount saved can be calculated as follows

300/500 × 100

= 0.6 × 100

= 60

Hence 60 percent of the original price which is $500 will be saved

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Based on the number of people employed in education and health service industries in 2009, the number of new jobs that will be gained between 1/2009 and 1/2016 is b. 2,826,800 people.

The number of total jobs in 2016 can be found as:

= Number of jobs in education and health service industries x (1 + rate of increase)

= 19,200,000 x (1 + 14.8%)

= 19,200,000 x 1.148

= 22,041,600 people

The number of new jobs are:

= 22,041,600 people - 19,200,000

= 2,841,600 people

= 2,826,800 people approximate

Graph and options for the question are:

Education and Health Services - All Employees, 2000-2009 A line graph titled Education and Health Services, All Employees, 2000 to 2009, where the x-axis shows years and the y-axis shows all employees, in thousands. Line starts at 15,000 on January 2000, and increases gradually to 16,000 on January 2002, 17,200 on January 2005, 18,100 on January 2007, and 19,200 on January 2009.

a. 21,926,800

b. 2,826,800

c. 16,273,200

d. 1,790,600

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Answer:

b on edge

Step-by-step explanation:

Answer:

4³

Step-by-step explanation:

using the rules of exponents

• [tex]a^{m}[/tex] × [tex]a^{n}[/tex] = [tex]a^{(m+n)}[/tex]

• [tex]\frac{a^{m} }{a^{n} }[/tex] = [tex]a^{(m-n)}[/tex]

then

4² × [tex]4^{4}[/tex] / 4³

= [tex]4^{(2+4)}[/tex] / 4³

= [tex]4^{6}[/tex] / 4³

= [tex]4^{(6-3)}[/tex]

= 4³

Answer:

8 gallons

Step-by-step explanation:

Check the picture below.

The solution is, the combined volume of the boxes is 180 unit cube.

In mathematics, volume is the space taken by an object. Volume is a measure of three-dimensional space. It is often quantified numerically using SI derived units or by various imperial or US customary units. The definition of length is interrelated with volume.

here, we have,

from the given diagram, we get,

there is two boxes in the diagram.

now, we have to find the combined volume.

here, we get,

the boxes are cuboids.

we know that,

Volume of  cuboid = length * width * height

V = l*w*h

here, we get, from the figure,

for 1st box, l = 3, w = 5 , h = 8

so, V  = 3 * 5 * 8 = 120

and, for 2nd box, l = 4, w = 5, h = 3

so, V = 4*5*3 = 60

we get, the combined volume 120 + 60 = 180

Hence, The solution is, the combined volume of the boxes is 180 unit cube.

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Step-by-step explanation:

this is practically a cylinder.

the volume of a cylinder is

ground area × height = pi×r² × height.

r being the radius (half of the diameter).

so, we have here

V = pi×10² × 13 = pi × 100 × 13 = 1300pi =

= 4,084.07045... cm³

1 liter = the content of a cube with 10 cm side length.

10×10×10 cm³ = 1000 cm³ = 1 liter.

the pan has a volume of 4,084.07045... cm³, so, yes, it has the capacity of 4 liters as 4×1000 cm³ (and a little bit extra).

The P-intercept of the function P(x) is 0.

The n -intercepts of the function are n = 0, -3 and -7

We are given the function;

P(n) = 3n⁴ + 30n³ + 63n²

Now, the P intercept of the function P(n) will occur when n = 0. Thus;

P(0) =  3(0)⁴ + 30(0)³ + 63(0)²

P(0) = 0

Thus, the P intercept of the function P(x) is 0.

Now, the n-intercept will be the roots of the given function P(x). Thus;

3n⁴ + 30n³ + 63n² = 0

n²(3n² + 30n + 63) = 0

Thus;

n² = 0 or 3n² + 30n + 63 = 0

Using quadratic equation calculator we have;

n = 0, -3 and -7

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When you subtract a constant from y = x², the following happens to the graph: C. graph moves DOWN.

A graph can be defined as a type of chart that's commonly used to graphically represent data on both the horizontal and vertical lines of a cartesian coordinate, which are the x-axis and y-axis.

In Mathematics, the graph of any quadratic function is parabolic because it is a u-shaped curve. For the given quadratic function, the graph is a upward parabola because the coefficient of x² is positive.

In conclusion, when a constant is subtracted from y = x², we can reasonably infer and logically deduce that the graph moves down as shown in the image attached below.

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Complete Question:

When you subtract a constant from y = x²  what happens to the graph? Eg  y = x² - 2

answer choices

Graph moves UP

Graph moves to the RIGHT

Graph moves DOWN

Graph moves to the LEFT

When the train on one route stop there every 9 minutes and trains on the other route stop there every 6 minutes, the time when they will stop at same time is 18 minutes.

From the information, the train on one route stop there every 9 minutes and trains on the other route stop there every 6 minutes.

Therefore, the time when will they stop at same time will be the lowest common multiple for 9 and 6. This is 18. Therefore, 18 minutes is the appropriate answer.

Therefore, the the time when they will stop at same time is 18 minutes.

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Trains on two different routes at the same train station. Train on one route stop there every 9 minutes and trains on the other route stop there every 6 minutes. When will they stop at same time?

well, let's say is 3pm, now, let's take away 10 minutes, that means 2:50pm, now let's take away another 2 minutes, that's 2:48pm.

The slope Intercept and the standard form of the equation are y = -1/2x - 3 and x + 2y = -6

Linear equations are equations that have constant average rates of change. Note that the constant average rates of change can also be regarded as the slope or the gradient

The given parameters are

y= -3 and x=-6

The above represent the y and the x intercepts

i.e.

y-intercept = -3

x-intercept = -6

A linear equation is represented as

y = mx + c

Where

c = y-intercept = -3

So, we have

y = mx - 3

At x-intercept = -6, we have

y = 0

So, we have

0 = m(-6) - 3

This gives

m = -1/2

So, we have

y = -1/2x - 3 --- slope-intercept form

Multiply through by 2

So, we have

2y = -x - 6

Rewrite as

x + 2y = -6 ----- standard form

Hence, the slope Intercept and the standard form of the equation are y = -1/2x - 3 and x + 2y = -6

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The greatest common factor of 9ab², 108ab³ is 9ab².

The factor of a number is the number that divides a number evenly; without any remainders. The factors of a number can either be positive or negative. For example, a factor of 10 is 2. This is because 10 divided by 2 is 5. 2 divides 10 evenly.

The greatest common factor is the highest factor that is common to two or more numbers. The highest common factor of 10 and 20 is 10. This is because it is the greatest common factor that is common to both numbers.

Factors of  9ab², 108ab³ = 3ab², 9ab²

The greatest common factor = 9ab²

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Probability is the measure of the likelihood that an event will occur in a Random Experiment.  The probability of selecting a senior from non geography is 0.1132

Probability is the measure of the likelihood that an event will occur in a Random Experiment

Given

                      Geography Majors           Non Geography Majors

Freshmen               15                                          14

Sophomores             11                                          16

Juniors                     13                                         11

Seniors                      14                                         12

The  total number of students are 106

The number of seniors in non geography is 12

So probability of selecting one senior from 106 is 12/106

Probability(senior of non geography)=12/106=0.1132

Therefore required probability is 0.1132.

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The value of sinФ = 0.139 for the given cosФ = 0.139 and tanФ > 0.

The given trigonometric function is-

cosФ = 0.139.

We know the relation of sin and cos functions.

sin²Ф + cos²Ф = 1

Thus,

sinФ = √(1 - cos²Ф)

Put the value of cosФ = 0.139

sinФ = √(1 - 0.139²)

sinФ = √0.981

sinФ = 0.139

Thus, the value of the trigonometric function sinФ = 0.139.

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Answer:

$22.00

A tip in sales is an added monetary contribution to the worker responsible for your bill. Tips are usually in percentage form and represent a portion of the total before you add a tip.

To find a tip in sales, convert the percentage to a decimal and then add 1 to that decimal. Finally, multiply the total by this sum.

To solve, first convert the percentage into a decimal by dividing by 100.

[tex]\displaystyle \frac{10}{100}[/tex]

[tex]0.1[/tex]

Then, add 1 to this quotient.

[tex]1+0.1 =1.1[/tex]

Finally, multiply the total ($20) by this sum.

[tex]20\times 1.1[/tex]

[tex]22[/tex]

Therefore, the total cost is $22.00.

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The total cost to the nearest cent is $22.00 when haircut is $20 and tip is 10%.

To find the total cost, we need to add the cost of the haircut and the tip amount.

Given:

Haircut cost = $20

Tip percentage = 10%

First, calculate the tip amount:

Tip = (10/100) × Haircut cost

Tip = (10/100) × $20

Tip = $2

Add the haircut cost and the tip amount to find the total cost:

Total cost = Haircut cost + Tip

Total cost = $20 + $2

Total cost = $22

Therefore, the total cost to the nearest cent is $22.00.

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Answer:

[tex]x^3y^{12}[/tex]

Step-by-step explanation:

[tex]\left(xy^4\right)^3\\\left(xy^4\right)^3=x^3\left(y^4\right)^3\\=x^3\left(y^4\right)^3\\=(y^4)^3\\=(y)^{4\times 3}\\= y^{12}\\= x^3y^{12}[/tex]

[tex]\textsf{Hi Brainy User, I'm Here to Help you!}[/tex]

- - - - - - - - - - - - - - - - - - - - - - - - - - - - - -

[tex]\textsf{By using the \textbf{Exponent Property}, we can simplify this.}[/tex]

[tex]\textsf{This is what it states:}[/tex]

[tex]\sf{(x^m)^n=x^{(m*n)}}[/tex]

[tex]\textsf{Multiply:}[/tex]

[tex]\sf{(xy^4)^3=x^3y^{3*4}=x^3y^{12}}[/tex]

[tex]\Large\overbrace{\underbrace{\boldsymbol{\rm{Reflection - RoSe}}}}^\star_\star[/tex]

The image of 3 and the image of -2 are 2 and 7, respectively

The equation of the function is given as

f(x) = x^2 - 2x - 1

To determine the image of 3 and the image of -2, we set x to the following values

x = 3 and -2

Substitute x = 3 and -2 in the equation f(x) = x^2 - 2x - 1

So, we have

f(3) = (3)^2 - 2(3) - 1 = 2

f(-2) = (-2)^2 - 2(-2) - 1 = 7

Hence, the image of 3 and the image of -2 are 2 and 7, respectively

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The rug will have dimension of 8ft. wide and 22ft. long.

Dimensions of room :

Wide (w) = 18 ft.

Long (l) =  32 ft.

Area of the room = l × w

                            = 32 × 18 = 576 ft²

Cynthia wants to leave a uniform strip of floor around the rug.

Let the width of the rug = x ft.

Then the dimensions of the rug will be = (18- 2x)ft. × (32- 2x)ft.

Area of the rug = (18 - 2x) × (32 - 2x) ft²

176 = (18 - 2x) × (32 - 2x)

176 = 576 - 36x - 64x + 4x²

  4x² - 100x + 400 = 0    ( Divide the equation by 4 )

      x² - 25x + 100 = 0  

x² - 20x - 5x + 100 = 0

x(x - 20)  -5(x - 20) = 0

       (x - 20) (x - 5) = 0

            x = 20, 5

If we take 20 as x then it will become a negative number when we will substract it from dimensions of the rug.

Therefore, The width of the rug  will be 5 ft.

Thus, The Dimension of the rug = (18- 2x)ft. × (32- 2x)ft.

                                                   = (18 - 10) × (32 - 10)

                                                   = 8ft. × 22ft.

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