PLEASE HELP. I DON'T UNDERSTAND THESE PEOPLE.
EXPLAIN GOOD FOR BRAINLIEST.

PLEASE HELP. I DON'T UNDERSTAND THESE PEOPLE.EXPLAIN GOOD FOR BRAINLIEST.

Answers

Answer 1

Answer:

Step-by-step explanation:

As it is a square, length of all sides will be equal.

So OW = WV = VU = OU

Here, OU = a

so, W(a,o) because in x-axis y=0

V (a,a)


Related Questions

What rate of interest compounded annually is required to triple an investment in 10 years?

Answers

Answer:

The interest rate should be 11.6%.

Step-by-step explanation:

Let us assume that at r% rate of interest compounded annually is required to triple an investment of $P in 10 years.

So, using the formula of compound interest, we can write

[tex]3P = P(1 + \frac{r}{100})^{10}[/tex]

⇒ [tex]3 = (1 + \frac{r}{100})^{10}[/tex]

⇒ [tex](1 + \frac{r}{100}) = 1.116[/tex]

⇒ [tex]\frac{r}{100} = 0.116[/tex]

r = 11.6 %

Therefore, the interest rate should be 11.6%. (Answer)

On Saturday morning , Owen earned $ 24 . By the end of the afternoon he had earned a total of $ 60 . Enter an equation , using x as your variable , to determine whether Owen earned $ 36 or $ 31 on Saturday afternoon .

Answers

Answer:

24 + x = 60

Owen earns $36 in the Saturday afternoon.

Step-by-step explanation:

On Saturday morning, Owen earned $ 24. By the end of the afternoon, he had earned a total of $ 60.

Now, if Owen earned $x on Saturday afternoon, then the equation of x that models the situation will be  

24 + x = 60 (Answer)

Solving the above equation we get

x = $36

Therefore, Owen earns $36 on Saturday afternoon. (Answer)

Fifteen less than eight times a number (n) is twenty seven in equation form

Answers

Answer:

x = -4/5 = -0.800

Step-by-step explanation:

Pull out like factors :

-12 - 15x  =   -3 • (5x + 4)

Solve :  

-3   =  0

Solve  :

5x+4 = 0

5x = -4

x = -4/5 = -0.800

Which polynomial was factored?
x2 - 2x -8
x² + 2x - 8
x2 - 2x - 4
x2 + 2x - 4

Answers

X power to the 2x-8 is the correct answer

Answer:

A. x^2 – 2x – 8

Step-by-step explanation:

A moose population is growing exponentially following the pattern in the table shown below. Assuming that the pattern continues, what will be the population of moose after 12 years? Show all your work! Round your answer to the nearest whole number. (5 points)
Time (year) Population
0 40
1 62
2 96
3 149
4 231

Answers

Answer:

The population of moose after 12 years will be 7,692

Step-by-step explanation:

we know that

In this problem we have a exponential function of the form

[tex]y=a(b^x)[/tex]

where

y ----> population of moose

x ----> the time in years

a is the y-intercept or initial value

b is the base of the exponential function

we have

[tex]a=40[/tex] ----> the y-intercept is given in the table (value of y when the value of x is equal to zero)

substitute

[tex]y=40(b^x)[/tex]

Find the value of b

For x=1, y=62

substitute in the equation

[tex]62=40(b^1)\\b=62/40\\b=1.55[/tex]

therefore

[tex]y=40(1.55^x)[/tex]

What will be the population of moose after 12 years?

For x=12 years

substitute in the exponential equation

[tex]y=40(1.55^{12})[/tex]

[tex]y=7,692[/tex]

which of the following inequalities is represented by the number line​

Answers

Answer:x > -3

Step-by-step explanation:

The inequality can be written as follows:

x > -3

Given is number line with an open circle at -3 and goes infinitely in right [positive] direction, we need to find the inequality that is represented by the number line​.

If there is an open circle at -3 on the number line, it means that -3 is not included in the solution set. The number line continues infinitely in the positive direction.

To represent the inequality using the number line, we use the open circle to indicate that -3 is not included and an arrow pointing to the right to show that the numbers continue infinitely in the positive direction.

The inequality can be written as follows:

x > -3

This inequality indicates that x is greater than -3 and includes all numbers to the right of -3 (but not -3 itself) on the number line.

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Find the perimeter and area of the polygon shown below.

Answers

The polygon consists of a rectangle with dimensions 15 ft by 18 ft and a right triangle with a base of 8 ft and a hypotenuse of 17 ft. The perimeter is 76 ft, and the area is 330 sq ft. The correct option is A).

To Find the area of each individual shape.

a. Area of the rectangle:

The area (A) of a rectangle is given by the formula: A = Length × Width.

Area of the rectangle = 18 ft × 15 ft = 270 sq ft

b. Area of the right triangle:

The area (A) of a right triangle is given by the formula: A = 0.5 × Base × Height.

Area of the right triangle = 0.5 × 8 ft × 15 ft = 60 sq ft

To Find the total area of the polygon.

Total area of the polygon = Area of the rectangle + Area of the right triangle = 270 sq ft + 60 sq ft = 330 sq ft

So, the perimeter of the polygon is 106 feet, and the area of the polygon is 330 square feet.

The perimeter of the polygon is the sum of the lengths of all its sides:

Perimeter = 15 ft (rectangle side) + 18 ft (rectangle side) + 18 ft (rectangle side) + 8 ft (triangle base) + 17 ft (triangle hypotenuse) = 76 ft

So, the correct perimeter of the polygon is 76 feet.

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The polygon is made up of a rectangle 15 feet by 18 feet in size and a right triangle with an 8-foot base and a 17-foot hypotenuse. The circumference is 76 feet long, and the size is 330 square feet. The correct answer is A).

Calculate the area of each individual form.

a. Rectangle surface area:

A rectangle's area (A) is provided by the formula: A = Length Width.

The rectangle's area is 18 ft 15 ft = 270 sq ft.

b. The right triangle's area:

The formula for calculating the area (A) of a right triangle is A = 0.5 Base Height.

Right triangle area = 0.5 8 ft 15 ft = 60 sq ft

To determine the polygon's overall area.

Total polygon area equals rectangle area + right triangle area = 270 sq ft + 60 sq ft = 330 sq ft

As a result, the polygon's perimeter is 106 feet, and its size is 330 square feet.

The polygon's perimeter is the sum of the lengths of all its sides:

Perimeter = 15 feet (rectangle side) + 18 feet (rectangle side) + 8 feet (triangle base) + 17 feet (triangle hypotenuse) = 76 feet

As a result, the polygon's correct perimeter is 76 feet.

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Which of these strategies would eliminate a variable in the system of equations?
2x-5y=13
-3x+2y=13

Answers

Answer:

B

Step-by-step explanation:

2x-5y=13.........(1) × 3

-3x+2y=13.......(2) × 2

6x - 15y = 39

-6x + 4y = 26

Adding

6x - 6x - 15y + 4y = 13 + 13

Answer:

Step-by-step explanation:

2x - 5y = 13

-3x + 2y = 13

multiply the top equation by 3 and the bottom one by 2, then add <==

watch...

2x - 5y = 13.....multiply by 3

-3x + 2y = 13....multiply by 2

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

6x - 15y = 39 (result of multiplying by 3)

-6x + 4y = 26 (result of multiplying by 2)

-----------------add

- 11y = 65.....notice how out x terms were eliminated :)

A 16 oz package of brown rie cost 79 cents and 32 oz package of white rice costs $3.49 . Which package is a better deal?

Answers

Answer:

Step-by-step explanation:

Brown rice

16oz = 0.79

Since 16oz is half of 32oz, we can multiply this equation by 2:

32oz = $1.58

Comparing the two, the 16oz package of brown rice is a better deal because it costs less.

Sari drives 55 miles per hour. Which equation shows the proportional relationship between hours (h) and miles (m)?

Answers

Answer:

[tex]m=55h[/tex]

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form [tex]k=\frac{y}{x}[/tex] or [tex]y=kx[/tex]

In a proportional relationship the constant of proportionality k is equal to the slope m of the line and the line passes through the origin

Let

m ----> the distance in miles (y-coordinate)

h ----> the time in hours (x-coordinate)

In this problem the constant of proportionality k is given and is equal to

[tex]k=55\ \frac{miles}{hour}[/tex] ----> the speed

substitute

[tex]m=55h[/tex]

Give the equation of the line that is perpendicular to y= (1/2)x -1 and passes through the point (3,4)

Answers

Answer: y = -2x + 10

Step-by-step explanation:

Two lines are said to be perpendicular if the product of their slope = -1, that is , if [tex]m_{1}[/tex] is the slope of the first line and [tex]m_{2}[/tex] is the slope of the second line , if the two lines are perpendicular , then [tex]m_{1}[/tex][tex]m_{2}[/tex] = -1

The equation of the line given :

y = 1/2x - 1

comparing with the equation of line in slope intercept form

y = mx + c , where m is the slope and c is the y - intercept , it implies that

[tex]m_{1}[/tex] = 1/2

Therefore :

[tex]m_{2}[/tex] = -2

To find the equation of the line with slope -2  and passes through the point ( 3 , 4 ) we will use the formula

[tex]y-y_{1}[/tex] = m ([tex]x-x_{1}[/tex] )

y - 4 = -2 ( x - 3 )

y - 4 = -2x + 6

y = -2x + 6 + 4

y = -2x + 10

EUREKA MATH kATRINA HAS 23 STICKERS AND JENNIFER HAS 9. HOW MANYMORE STICKERS DOES JENNIFER NEED TO HAVE AS MANY AS KATRINA?

Answers

Answer:

14

Step-by-step explanation:

23 - 9 = 14

Answer:

14

Step-by-step explanation:

23-9=14

what expression simplifies to 8x-5

Answers

The value of the equation A = -6x + 7 ( 2x + 1 ) - 12 is A = 8x - 5

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

A = -6x + 7 ( 2x + 1 ) - 12  be equation (1)

Now , let the equation B = 8x - 5

On simplifying the equation (1) , we get

A = -6x + 7 ( 2x ) + 7 ( 1 ) - 12

A = -6x + 14x + 7 - 12

On further simplification , we get

A = 8x - 5

So , the value of A = B

Therefore , the value of A is 8x - 5

Hence , the equation is A = 8x - 5

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Answer:

The Answer is A = -6x + 7 ( 2x + 1 ) - 12 is A = 8x - 5

Step-by-step explanation:

I got it right

Find the third side in simplest radical form:

Answers

Answer:

[tex]\sqrt{10}[/tex]

Step-by-step explanation:

Since this is a right triangle then we can apply the Pythagorean theorem

look at the photo below for the details.

:)

Phillip departed from town A with coordinates (1, 6) towards town B with coordinates (7, 6). At the same time Bruce headed from town B to town A. What are the coordinates of point C where they will meet if the ratio of Phillip's to Bruce's rates is 7:5, respectively?

Answers

Answer:

  (4.5, 6)

Step-by-step explanation:

The distance covered is proportional to the rate, so the distance from A to C compared to the distance from B to C will have the same proportion as Phillip's and Bruce's rates.

__

setup

  (C -A)/(B -C) = 7/5 . . . . . distance is proportional to rates

solution

  5(C -A) = 7(B -C) . . . . multiply by 5(B -C)

  12C = 7B +5A . . . . . add 7C+5A

  C = (7B +5A)/12 = (7(7, 6) +5(1, 6))/12 = (49+5, 42+30)/12 = (4.5, 6)

Phillip and Bruce will meet at C(4.5, 6).

Answer:

he is right but the answer is (4,6) not (4.5,6)

Step-by-step explanation:

Use the calculator for these calculations. Round
your answer to the nearest thousandth, if
necessary: 18•(27+26/3)

Answers

Answer:

378

Step-by-step explanation:

First: Start with the parentheses

Meaning to add 27 + 36 then divide by 3.

Second: You should have 21 afterwards,

when you have this number you can use the number

outside of the parentheses a.k.a (21 x 18)

Third: You should get the answer "378" unless you do something wrong.

Final answer:

To calculate the expression 18•(27+26/3), follow the order of operations: division, addition, and then multiplication. The result is approximately 642.006.

Explanation:

To calculate the expression 18•(27+26/3), we need to follow the order of operations. First, we perform the division 26/3 which gives us 8.66666... (rounded to the nearest thousandth, this is 8.667). Next, we add 27 and 8.667 which equals 35.667. Finally, we multiply 18 by 35.667 to get the final result of 642.006 (rounded to the nearest thousandth, this is 642.006).

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Which of the following expressions are equivalent to (x+y)^2? There may be more than one correct answer

Answers

The equivalent expressions are:

[tex](x+y)^2 = x^2+2xy+y^2[/tex]

[tex](x+y)^2 = x(x+y)+y(x+y)[/tex]

[tex](x+y)^2 = (x+y)(x+y)[/tex]

[tex](x+y)^2=(y+x)^2[/tex]

Solution:

We have to find the equivalent expression for the given expression

Given expression is:

[tex](x+y)^2[/tex]

First equivalent expression:

Let us first use the algebraic identity

[tex](a+b)^2=a^2+2ab+b^2[/tex]

Therefore,

[tex](x+y)^2 = x^2+2xy+y^2[/tex]

Second Equivalent expression:

From above we get,

[tex](x+y)^2 = x^2+2xy+y^2[/tex]

2xy can be rewritten as xy + xy

Thus we get,

[tex]x^2+2xy + y^2 = x^2+xy+xy+y^2[/tex]

Group the terms we get,

[tex]x^2+2xy + y^2 = (x^2+xy)+(xy+y^2)[/tex]

Factor out "x" from first bracket and "y" from second bracket

[tex]x^2+2xy+y^2 = x(x+y)+y(x+y)[/tex]

Thus the equivalent expression is:

[tex](x+y)^2 = x(x+y)+y(x+y)[/tex]

Third equivalent expression:

[tex]\text{We know that } a^2 = a \times a[/tex]

Therefore,

[tex](x+y)^2 = (x+y)(x+y)[/tex]

Fourth equivalent expression:

By commutative property we know that,

[tex]a + b = b + a[/tex]

Therefore,

[tex](x+y)^2=(y+x)^2[/tex]

Thus the equivalent expressions are found

Kelly had a part time job last year. She paid the state $234 in income tax. The state income tax rate is 5.2%. How much did Kelly earn?

Answers

Answer

Step-by-step explanation:All you do is multiply $234 by 5.2% or .052 as a decimal

$234×.052×1

Answer:

It's 4500

Step-by-step explanation:

The main story has 150 times as many pages as the prologue there is 750 pages in all how many pages in the main story

Answers

There are approximately 745 pages in main story

Solution:

Let "x" be the number of pages in main story

Let "y" be the number of pages in prologue

Given that there are 750 pages in all

Therefore,

number of pages in main story + number of pages in prologue = 750

x + y = 750 ---------- eqn 1

The main story has 150 times as many pages as the prologue

Therefore, a equation is framed as:

number of pages in main story = 150(number of pages in prologue)

x = 150y ----------- eqn 2

Let us solve eqn 1 and eqn 2

Substitute eqn 2 in eqn 1

150y + y = 750

151y = 750

y = 4.967

Substitute y = 4.967 in eqn 2

x = 150(4.967)

x = 745.05

Thus there are approximately 745 pages in main story

Which products result in a difference of squares or a perfect square trinomial? Check all that apply.
(5x + 3)(5x – 3)
(7x + 4)(7x + 4)
(2x + 1)(x + 2)
(4x – 6)(x + 8)
(x – 9)(x – 9)
(–3x – 6)(–3x + 6)

Answers

Answer:

A, (5x + 3)(5x – 3)

B, (7x + 4)(7x + 4)

E, (x – 9)(x – 9)

F, (–3x – 6)(–3x + 6)

Step-by-step explanation:

Answer:

A, B, E, F

Step-by-step explanation:

2x + 3y= 22
-2x +5y=-6

Answers

The solution is x = 8 and y = 2

Solution:

Given are the system of equations

2x + 3y = 22 -------- eqn 1

-2x + 5y = -6 ----- eqn 2

We can solve the system of equations by elimination method

Add eqn 1 and eqn 2

Eqn 1 + Eqn 2

2x + 3y -2x + 5y = 22 - 6

0x + 3y + 5y = 16

8y = 16

Divide both sides of equation by 8

y = 2

Substitute y = 2 in eqn 1

2x + 3(2) = 22

2x = 22 - 6

2x = 16

x = 8

Thus the solution is x = 8 and y = 2

A rocket was launched into the air from a platform above ground. The height, in feet, of the rocket above the ground t seconds after being thrown can be determined by the expression -16t^2 + 64t + 80. What does the 80 in the expression represent

Answers

Answer:

80 is the height of the platform

the rocket didnt launch from the ground so u need to add it in

Answer:

The rocket was launched from a platform 80 feet above the ground.

Step-by-step explanation:

The + 80 is where it starts

Adam has created a register for the bank account he opened on April 16th. Unfortunately, Adam has made a mistake and cannot figure out where he went wrong. Use the transaction descriptions below to determine where his error is.

The account was opened on April 16 with a tax refund check of $145.00.
Paid SellUPhone $65.34 on April 18. (Check 794)
Deposited a paycheck on April 23. ($9.76/hour for 35 hours)
Bought $61.32 (4% sales tax not included) in clothes from BargainsRUs on April 24 using a debit card.
Number Date Transaction Description Payment, Fee, Withdrawal (–) Deposit, Credit (+) Balance $
4/16 Open Account $145.00
794 4/18 SellUPhone 65.34 $79.66
4/23 Deposit 338.45 $418.11
4/24 BargainsRUs 63.77 $354.34



He completely forgot to include the clothes he bought from BargainsRUS.


He made an arithmetic error in the balance column.


He recorded one of his withdrawals in the deposit column.


He recorded his paycheck amount for April 23th incorrectly.

Answers

Answer:

D. He recorded his paycheck amount for April 23rd incorrectly. Yes, this was Adam's mistake. The correct amount should be 341.60 and not 338.45.

Step-by-step explanation:

1. Let's review the information given to us to help Adam to determine where his error is.

A. He completely forgot to include the clothes he bought from Bargains RUS. No, he didn't. It was recorded properly,  including the sales tax amount.

B. He made an arithmetic error in the balance column. No he didn't, the balance was calculated correctly after each transaction.

C. He recorded one of his withdrawals in the deposit column. No, he didn't. All of the withdrawals are in the right column.

D. He recorded his paycheck amount for April 23rd incorrectly. Yes, this was Adam's mistake. The correct amount should be 341.60 and not 338.45.

Final answer:

Adam's error in the register lies in the paycheck amount recorded for the April 23rd deposit. His hourly wage is $9.76 and he worked for 35 hours, which should result in a pay of $341.60, but he recorded it as $338.45.

Explanation:

The error in Adam's register appears to be in the paycheck amount recorded for the April 23rd deposit. Here's how we can figure it out

Adam's hourly wage is $9.76 and he worked for 35 hours. So, the total pay should be $9.76 * 35 = $341.60.In the register, however, the deposit amount for April 23rd is listed as $338.45, which does not match the calculation. So, this seems to be where Adam made a mistake.All the other transactions match correctly with the descriptions provided.

So, Adam recorded his paycheck amount for April 23rd incorrectly.

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Evaluate the expression when m=6 and n=33.

n-5m=

Answers

n = 33 and m = 6 substitute in the values in place of the variables to get 33 - 5*(6). distribute the five to get 33 - 30 =3. the answer is three

A hamster runs at a speed of 17 centimeters per second in a wheel of radius 10 centimeters​ angular velocity and how fast will the wheel spin in revolutions per minute​

Answers

Answer:

3.229 revolutions per minute

Step-by-step explanation:

The angular velocity of an object is the rate at which it rotates around a fixed axis. In this case, the hamster wheel is rotating.

To find the angular velocity of the wheel, we need to convert the linear velocity of the hamster into angular velocity.

The linear velocity of the hamster is given as 17 centimeters per second. This means that for every second, the hamster moves 17 centimeters along the circumference of the wheel.

To find the angular velocity, we need to find the distance traveled along the circumference of the wheel in one revolution. The circumference of a circle is given by the formula C = 2πr, where r is the radius of the wheel.

In this case, the radius of the wheel is 10 centimeters. So, the circumference of the wheel is C = 2π(10) = 20π centimeters.

Since the hamster runs at a speed of 17 centimeters per second, in one revolution of the wheel, it covers a distance of 20π centimeters.

Now, we can find the angular velocity by dividing the linear velocity by the distance traveled in one revolution.

Angular velocity = linear velocity / distance traveled in one revolution

Angular velocity = 17 centimeters per second / (20π centimeters per revolution)

Simplifying the expression, we get:

Angular velocity = 17 / (20π) revolutions per second

To convert the angular velocity from revolutions per second to revolutions per minute, we need to multiply it by 60 (since there are 60 seconds in a minute).

Angular velocity in revolutions per minute = (17 / (20π)) * 60

Calculating the value, we get:

Angular velocity in revolutions per minute ≈ 3.229 revolutions per minute

Therefore, the wheel will s

AI-generated answer

The angular velocity of an object is the rate at which it rotates around a fixed axis. In this case, the hamster wheel is rotating.

To find the angular velocity of the wheel, we need to convert the linear velocity of the hamster into angular velocity.

The linear velocity of the hamster is given as 17 centimeters per second. This means that for every second, the hamster moves 17 centimeters along the circumference of the wheel.

To find the angular velocity, we need to find the distance traveled along the circumference of the wheel in one revolution. The circumference of a circle is given by the formula C = 2πr, where r is the radius of the wheel.

In this case, the radius of the wheel is 10 centimeters. So, the circumference of the wheel is C = 2π(10) = 20π centimeters.

Since the hamster runs at a speed of 17 centimeters per second, in one revolution of the wheel, it covers a distance of 20π centimeters.

Now, we can find the angular velocity by dividing the linear velocity by the distance traveled in one revolution.

Angular velocity = linear velocity / distance traveled in one revolution

Angular velocity = 17 centimeters per second / (20π centimeters per revolution)

Simplifying the expression, we get:

Angular velocity = 17 / (20π) revolutions per second

To convert the angular velocity from revolutions per second to revolutions per minute, we need to multiply it by 60 (since there are 60 seconds in a minute).

Angular velocity in revolutions per minute = (17 / (20π)) * 60

Calculating the value, we get:

Angular velocity in revolutions per minute ≈ 3.229 revolutions per minute

Therefore, the wheel will spin at a rate of approximately 3.229 revolutions per minute.

simplify this please​

Answers

Answer:

[tex]\frac{12q^{\frac{7}{3}}}{p^{3}}[/tex]

Step-by-step explanation:

Here are some rules you need to simplify this expression:

Distribute exponents: When you raise an exponent to another exponent, you multiply the exponents together. This includes exponents that are fractions. [tex](a^{x})^{n} = a^{xn}[/tex]

Negative exponent rule: When an exponent is negative, you can make it positive by making the base a fraction. When the number is apart of a bigger fraction, you can move it to the other side (top/bottom). [tex]a^{-x} = \frac{1}{a^{x}}[/tex], and to help with this question: [tex]\frac{a^{-x}b}{1} = \frac{b}{a^{x}}[/tex].

Multiplying exponents with same base: When exponential numbers have the same base, you can combine them by adding their exponents together. [tex](a^{x})(a^{y}) = a^{x+y}[/tex]

Dividing exponents with same base: When exponential numbers have the same base, you can combine them by subtracting the exponents. [tex]\frac{a^{x}}{a^{y}} = a^{x-y}[/tex]

Fractional exponents as a radical: When a number has an exponent that is a fraction, the numerator can remain the exponent, and the denominator becomes the index (example, index here ∛ is 3). [tex]a^{\frac{m}{n}} = \sqrt[n]{a^{m}} = (\sqrt[n]{a})^{m}[/tex]

[tex]\frac{(8p^{-6} q^{3})^{2/3}}{(27p^{3}q)^{-1/3}}[/tex]        Distribute exponent

[tex]=\frac{8^{(2/3)}p^{(-6*2/3)}q^{(3*2/3)}}{27^{(-1/3)}p^{(3*-1/3)}q^{(-1/3)}}[/tex]        Simplify each exponent by multiplying

[tex]=\frac{8^{(2/3)}p^{(-4)}q^{(2)}}{27^{(-1/3)}p^{(-1)}q^{(-1/3)}}[/tex]        Negative exponent rule

[tex]=\frac{8^{(2/3)}q^{(2)}27^{(1/3)}p^{(1)}q^{(1/3)}}{p^{(4)}}[/tex]        Combine the like terms in the numerator with the base "q"

[tex]=\frac{8^{(2/3)}27^{(1/3)}p^{(1)}q^{(2)}q^{(1/3)}}{p^{(4)}}[/tex]        Rearranged for you to see the like terms

[tex]=\frac{8^{(2/3)}27^{(1/3)}p^{(1)}q^{(2)+(1/3)}}{p^{(4)}}[/tex]        Multiplying exponents with same base

[tex]=\frac{8^{(2/3)}27^{(1/3)}p^{(1)}q^{(7/3)}}{p^{(4)}}[/tex]        2 + 1/3 = 7/3

[tex]=\frac{\sqrt[3]{8^{2}}\sqrt[3]{27}p\sqrt[3]{q^{7}}}{p^{4}}[/tex]        Fractional exponents as radical form

[tex]=\frac{(\sqrt[3]{64})(3)(p)(q^{\frac{7}{3}})}{p^{4}}[/tex]        Simplified cubes. Wrote brackets to lessen confusion. Notice the radical of a variable can't be simplified.

[tex]=\frac{(4)(3)(p)(q^{\frac{7}{3}})}{p^{4}}[/tex]        Multiply 4 and 3

[tex]=\frac{12pq^{\frac{7}{3}}}{p^{4}}[/tex]        Dividing exponents with same base

[tex]=12p^{(1-4)}q^{\frac{7}{3}}[/tex]        Subtract the exponent of 'p'

[tex]=12p^{(-3)}q^{\frac{7}{3}}[/tex]        Negative exponent rule

[tex]=\frac{12q^{\frac{7}{3}}}{p^{3}}[/tex]        Final answer

Here is a version in pen if the steps are hard to see.

what inverse operation is used to solve the equation 2x=10

A) add 2 to both sides

B) divide by 2 on both sides

C) multiply by 2 on both sides

D) subtract 2 from both sides

Answers

Answer:

Step-by-step explanation:

2x = 10.....there are 2 ways to solve this....u can either divide by 2 on both sides, or multiply by 1/2 on both sides. However, the inverse operation would be the dividing by 2 because it is the inverse of multiplying.

so ur answer is : divide by 2 on both sides

Divide by 2 on both sides to get the inverse operation to solve the equation 2x=10.

What is Equation?

Two or more expressions with an equal sign is called as Equation.

2x = 10.....there are 2 ways to solve this

Either divide by 2 on both sides, or multiply by 1/2 on both sides. However, the inverse operation would be the dividing by 2 because it is the inverse of multiplying.

Hence divide by 2 on both sides is the operation used to solve the equation 2X=10.

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Is the square root of 25/35 rational or irrational

Answers

irrational. though 25 can be square rooted to find an integer, 35 cannot. the solution would be 0.84515425... and is irrational.
Final answer:

The square root of 25/35, which simplifies down to the square root of 5/7 is an irrational number because the decimal form of the square root doesn't terminate or repeat.

Explanation:

The question is asking about the nature of the square root of the fraction 25/35. To solve it, we first simplify the fraction to its lowest terms, which is 5/7. The square root of 5/7 is a decimal that doesn't terminate or repeat, which means that it is an irrational number. In contrast, 25/35 rational refers to numbers that can be expressed as a ratio of two integers, which the square root of 5/7 cannot be.

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What is the missing fraction for the equation?
9/10 + ?/? = 99/100

Answers

9/10 = 90/100, so 90/100 (which is 9/10)+ 9/100 = 99/100

Final answer:

The missing fraction in the equation 9/10 + ?/? = 99/100 is 9/100 because 9/10 is equivalent to 90/100 and 99/100 - 90/100 equals 9/100.

Explanation:

To find the missing fraction in the equation 9/10 + ?/? = 99/100, we need to find a common denominator and then solve for the numerator of the missing fraction. The common denominator for 10 and 100 is 100, so we must convert 9/10 into an equivalent fraction with a denominator of 100, which is 90/100. Now, to find the missing numerator, we subtract 90/100 from 99/100 which gives us 9/100. Therefore, the missing fraction is 9/100.

A wave has a frequency of 6.1 x 1014 Hz and a speed of 3.00 x 108 m/s. Use
the wavelength equation to calculate the wavelength.
O A. 4.9x107m
B. 2.77 x 104 m
O
C. 1.83 x 1023 m
O D. 9.91 x 108 m
SUBMIT

Answers

Answer:

(A) [tex]4.9\times 10^{-7}\ m[/tex]

Step-by-step explanation:

Given:

Frequency of the wave (f) = [tex]6.1\times 10^{14}\ Hz[/tex]

Speed of the wave (v) = [tex]3.00\times 10^8\ m/s[/tex]

The wavelength equation of the wave is given as:

[tex]\lambda=\dfrac{v}{f}[/tex]

Here, [tex]\lambda \to wave\ wavelength[/tex]

Now, plug in the given values and simplify.

[tex]\lambda=\frac{3\times 10^8}{6.1\times 10^{14}}\\\\\lambda=4.9\times 10^{-7}\ m[/tex]

Therefore, the wavelength of the wave is option (A) [tex]4.9\times 10^{-7}\ m[/tex]

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