Simplify the expression below.
Use the up-carrot (^) for the exponent.
r6
_
r2

Answers

Answer 1

\(~\hspace{7em}\textit{negative exponents} \\\\ a^{-n} \implies \cfrac{1}{a^n} ~\hspace{4.5em} a^n\implies \cfrac{1}{a^{-n}} ~\hspace{4.5em} \cfrac{a^n}{a^m}\implies a^na^{-m}\implies a^{n-m} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{r^6}{r^2}\implies r^6\cdot r^{-2}\implies r^{6-2}\implies r^4\)


Related Questions

What transformation(s) have been applied to function f(x) to get g(x)? Check all that apply.translationreflectiondilationrotation

Answers

Transformations that have been applied to function f(x) to get g(x) are translation, reflection, and dilation.

The process of transforming the existing graph or graphed equation, to create a variation of the following chart is called graph conversion. Transformations such as translation, reflection, and dilation have been applied to function f(x) to produce g(x).

Whenever the function is "translated" it is moved in such a very way that it will not alter the shape or rotate in any way.The reflection is a modification of the function's graph all along the x or y-axis (or both).Dilation is defined as a stretch or shortening about in an axis caused by multiplying or subdivisions.

Therefore, the answer is "translation , reflection , and dilation".

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Answer:

A) Translation

B) Reflection

C) Dilation

Step-by-step explanation:

What transformation(s) have been applied to function f(x) to get g(x)? Check all that apply.translationreflectiondilationrotation

What is the reason for statement 7 in the given proof?
A) definition of midpoint
B) definition of slope
C) parallel lines have equal slopes.
D) using point-slope formula

What is the reason for statement 7 in the given proof?A) definition of midpointB) definition of slope

Answers

Answer: definition of slope

Step-by-step explanation:

The results in step 7 come from substituting the coordinates into the slope formula.

A cell phone company sells about 500 phones each week when it charges $75 per phone. It sells about 20 more phones per week for each$1 decrease in price. The company's revenue is the product of the number of phones sold and the price of each phone. What price should the company charge to maximize its revenue?

Answers

The company can maximize its revenue by charging the price of $73 per phone.

Changing the price and monitoring how many phones are sold in reaction to the price change allows for trial-and-error in determining accuracy.

With 520 phones sold each week at $73, the corporation will make a total of $38,160 in revenue. There are 20 more phones than when it was charging $75, thus the business will make an additional $1,500 every week.

Due to the increased number of phones sold, the corporation may increase revenue by merely $2 by lowering the price, leading to an increase in both total revenue and profit.

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PLS HELP ME!!! I AM GIVING ALL MY POINTS OUT( look I don't have alot of points don't bully me(⌐■_■))

PLS HELP ME!!! I AM GIVING ALL MY POINTS OUT( look I don't have alot of points don't bully me(_))

Answers

Answer:

9x

Step-by-step explanation:

3x3=9 +x=9x hope this helps

Simplify this expression.
–6w + (–8.3) + 1.5+ (–7w)

Answers

The simplified form of the expression -6w + (–8.3) + 1.5+ (–7w) is -13w - 6.8.

What is the simplified form of the expression?

Given the expression in the question;

-6w + (–8.3) + 1.5+ (–7w)

To simplify, first remove the parenthesis

Note that;

- × + = -- × - = ++ × + = +

-6w + × - 8.3 + 1.5 + × - 7w

-6w - 8.3 + 1.5 - 7w

Next collect and add like terms

-6w - 7w - 8.3 + 1.5

Add -6w and -7w

-13w - 8.3 + 1.5

Add -8.3 and 1.5

-13w - 6.8

Therefore, -13w - 6.8 is the simplified form.

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Farmer Brown own 31 chicken. One day, two foxe eat ome of the chicken. One fox eat 8 chicken, and the other eat 12. How many chicken doe Farmer Brown have left?

Answers

Answer:

11

Step-by-step explanation:

Would Gestaltists be considered empiricists or rationalists?

Answers

In terms of the philosophical debate between empiricism and rationalism, Gestaltists would likely fall more on the side of empiricism.

Gestalt psychology emphasizes the study of perception and the organization of sensory information, which is distinct from the traditional approaches of behaviorism and structuralism. Gestaltists believe that perception is more than the sum of its parts and that the mind constructs meaning through organizing sensory information into wholes or gestalts.

This is because they prioritize the role of sensory experience in shaping perception and understanding of the world. They argue that the mind is not a blank slate, but rather that it processes sensory information in a holistic manner to construct meaning.

However, it is important to note that Gestalt psychology is not necessarily tied to either the empiricist or rationalist tradition, as it has its own unique theoretical framework that emphasizes the importance of context, organization, and pattern recognition in perception and cognition.

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7) Determine the equation of the line in the form y=mx+B that goes through the two points (5,10) and (9,20).

7) Determine the equation of the line in the form y=mx+B that goes through the two points (5,10) and

Answers

To determine the equation of the line in the form y = mx + b that passes through the points (5, 10) and (9, 20), we need to find the values of the slope (m) and the y-intercept (b).

First, let's calculate the slope (m) using the formula:

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

Using the points (5, 10) and (9, 20), we have:

m = (20 - 10) / (9 - 5) = 10 / 4 = 2.5

Now that we have the slope (m = 2.5), we can substitute it into the equation y = mx + b and use one of the given points to solve for the y-intercept (b).

Let's use the point (5, 10):

10 = 2.5(5) + b
10 = 12.5 + b
b = 10 - 12.5
b = -2.5

Therefore, the equation of the line that passes through the points (5, 10) and (9, 20) is:

y = 2.5x - 2.5

Find value of X in the isosceles triangle shown below

Find value of X in the isosceles triangle shown below

Answers

Answer:

x=10

Step-by-step explanation:

Using Pythagorean theorem,

(√13^2-12^2)×2

(√169-144)×2

(√25)×2

5×2=10

What is the answer?
-1.2x=12

Answers

775757874875875345634634563456

Let A = 8î + 5ĵ B = -3î + 3ĵ Ċ = 1î - 9ĵ Complete each vector sum. A+B+C = A - B+C = î+ î+ 3> Ĵ A+B-C= A - B - C =

Answers

The vector sums A+B+C and A-B+C are equal to the vectors î+î+3ĵ and -2î+7ĵ, respectively.

The vector A has a magnitude of 8 in the î direction and 5 in the ĵ direction. Vector B has a magnitude of 3 in the opposite direction of î and 3 in the ĵ direction. Vector C has a magnitude of 1 in the î direction and 9 in the opposite direction of ĵ.

For the vector sum A+B+C, we add the corresponding components of A, B, and C.

A = 8î + 5ĵ

B = -3î + 3ĵ

C = 1î - 9ĵ

Adding the î-components: 8î + (-3î) + 1î = 6î

Adding the ĵ-components: 5ĵ + 3ĵ + (-9ĵ) = -ĵ

Therefore, A+B+C = 6î - ĵ + 3ĵ = 6î + 2ĵ.

Similarly, for the vector sum A-B+C, we subtract B and add C to A.

Subtracting the î-components: 8î - (-3î) + 1î = 12î

Adding the ĵ-components: 5ĵ + 3ĵ + (-9ĵ) = -ĵ

Therefore, A-B+C = 12î - ĵ + 3ĵ = 12î + 2ĵ.

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Which point on the accompanying number line best represents the position of square root 5? *



i need help hurry in a test

Answers

The number line is missing, so i have attached it.

Answer:

Point C

Step-by-step explanation:

From calculator, square root of 5 gives us; √5 = 2.236

Now, looking at the number line attached, the point that best represents the value of the square root value of 2.236 will be point C because is lies between 2 and 3 which corresponds to our calculated value of 2.236

Which point on the accompanying number line best represents the position of square root 5? *i need help

The point (rote 3, -1)is on the terminal side of the an angle theta. Find sin theta

The point (rote 3, -1)is on the terminal side of the an angle theta. Find sin theta

Answers

We have that the angle is 330°

Now

\(\sin (330)=-\frac{1}{2}=-0.5\)

The point (rote 3, -1)is on the terminal side of the an angle theta. Find sin theta

What is the circumference and area of a circle in which the diameter of the circle is 16 feet

Answers

Answer:

The circumference is 50.27 and the area is 201.06 I rounded up to the nearest hundredths. And I used actually pi not just 3.14, here it is in the terms of using 3.14 circumference is 50.24 no rounding and area is 200.96 and no rounding, I hope this helps

Step-by-step explanation:

There are black and white counters in a bag in the ratio 20:17


There are 54
more black counters than white counters.


How many black counters are there?

Answers

There are 360 black counters and 306 white counter in 20:17 ratio.

Let's denote the number of black counters by B and the number of white counters by W. We know that the ratio of black to white counters is 20:17, which means that:

B/W = 20/17

We also know that there are 54 more black counters than white counters, which means that:

B = W + 54

We can use substitution to solve for B. Substituting the second equation into the first equation, we get:

(W + 54)/W = 20/17

Cross-multiplying, we get:

17(W + 54) = 20W

Expanding the left side, we get:

17W + 918 = 20W

Subtracting 17W from both sides, we get:

918 = 3W

Dividing both sides by 3, we get:

W = 306

Now we can use the second equation to find B:

B = W + 54 = 306 + 54 = 360

Therefore, there are 360 black counters in the bag.

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find the perpendicular (4, -1); y = 2x -4

Answers

Answer:

y = - \(\frac{1}{2}\) x + 1

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 )

y = 2x - 4 ← is in slope- intercept form

with slope m = 2

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

\(m_{perpendicular}\) = - \(\frac{1}{m}\) = - \(\frac{1}{2}\) , then

y = - \(\frac{1}{2}\) x + c ← is the partial equation

to find c substitute (4, - 1 ) into the partial equation

- 1 = - 2 + c ⇒ c = - 1 + 2 = 1

y = - \(\frac{1}{2}\) x + 1 ← equation of perpendicular line

Jill's pencil is 10, 2/ 5
And jenny's pencil is 13.5 cm long but I still don't understand like how much longer is jenny's pencil that Jill's

Answers

Answer:

Jenny's pencil is 3.1 cm longer than Jill's pencil

Step-by-step explanation:

Given that Jill's pencil is 10 2/5 cm while jenny's pencil is 13.5 cm then to know how much longer jenny's pencil is than Jill's you apply subtraction.

Jenny's pencil length - Jill's pencil length

13.5 cm - 10.4 cm = 3.1 cm

9514 1404 393

Answer:

  3.1 cm

Step-by-step explanation:

The difference in lengths is ...

  13 5/10 - 10 4/10 = 3 1/10 . . . centimeters

Jenny's pencil is 3.1 cm longer than Jill's.

__

Comment on the subtraction

Above, we have converted both numbers to mixed numbers with a common denominator. You can just as easily convert both numbers to decimal values.

  10 2/5 = 10 4/10 = 10.4

Then 13.5 -10.4 = 3.1, as above.

__

The wording "how much longer is A than B?" means, "what is the difference A - B?" That difference is found by subtraction. Many graphing calculators will let you enter mixed numbers as part of an expression, so your calculator may be able to find this value for you.

find an ordered pair x-2y=4​

Answers

Answer:

Step by Step:
x-2y=4
+2y +2y
x=-2y+4

x-2y=4
-4 -4
x-2y-4=0
+2y +2y
x-4=2y
Divid by 2
1/2x-2= y

x=-2y+4
x=-2(1/2x-2)+4
x=-x+4+4
x=-x+8
+x +x
2x= 8
x=4

y=1/2x-2
y=1/2(4)-2
y=2-2
y=0
(4,0)

The ordered pair for the equation x-2y=4​ will be (-4,-4).

What is the equation?

A mathematical equation is a claim that two expressions, which may contain variables or numbers, are equal. Equations are essential questions, and the main motivations for the development of mathematics have been efforts to methodically discover answers to these questions.

It is given that the equation is x-2y=4​.

We have to find the ordered pair for the triangle.

You may run a test to see whether an ordered pair is a solution to an equation. Put the ordered pair's x-value into the equation after identifying it. It is clear that the ordered pair is a solution to the equation if, after simplifying, the y-value you obtain matches the y-value in the ordered pair.

The question is incomplete.

The complete question is to find the ordered pair of the equation  x-2y=4​ is the coordinates (-4,y)

x-2y=4​

-4-2y=4

-2y=4+4

2y=-8

y= -4

Thus the ordered pair will be (-4,-4).

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y=-3x
6x-y=9 solve in substitution method

Answers

Answer:

x = 1
y = -3

Step-by-step explanation:

We will take our equation and substitute it, giving us:
6x - (-3x) = 9
Since there are two negatives We make it a positive. 6x + 3x = 9.
9x = 9
x = 1
Then we substitute, we will get 6 - y = 9.
6 = 9 + y
y = -3

We can now check this, substituting we get:
6 - (-3) = 9
6 + 3 = 9
Everything checks out.

PLEASE SOLVE THIS WITH FULL EXPLANATION ASAP I HAVE A MATH EXAM ​

PLEASE SOLVE THIS WITH FULL EXPLANATION ASAP I HAVE A MATH EXAM

Answers

Answer:

3/5y

Step-by-step explanation:

6y/35 ÷10y^2/7

to solve this you do reciprocal of 10y^2/7

then;

6y/35 x 7/10y^2

solving this

3/5y

This is the right answer step by step…if you are good at maths y’ll understand it
PLEASE SOLVE THIS WITH FULL EXPLANATION ASAP I HAVE A MATH EXAM

4237÷19 with a remainder

Answers

Answer:

Be SMART

Step-by-step explanation:

SORRY SORRY... thx for points though

Answer: It's 223 there is no remainder.

Step-by-step explanation:

Hope This Helps!! : )

At a zoo, 3 pandas eat a total of 181 1 2pounds of bamboo shoots each day. The male panda eats 3 times as much as the baby. The female eats twice as much as the baby. How many pounds of bamboo shoots does the female panda eat?

Answers

Answer:

6037.2 pounds of bamboo shoots does the female panda eat.

Step-by-step explanation:

Total pandas = 3

Total bamboo shoots eaten = 18112 pounds

Let baby panda eats bamboo = x

Male panda eats bamboo= 3x

Female panda eats bamboo = 2x

So, the equation will become

\(x+3x+2x=18112\)

Now solving the equation to find value of x

\(x+3x+2x=18112\\6x=18112\\x=\frac{18112}{6}\\x=3018.6\)

The value of x we get : x=3018.6

So, baby panda eats bamboo shoots = 3018.6 pounds

Male panda eats bamboo shoots = 3x = 3(3018.6) = 9055.8 pounds

Female panda eats bamboo shoots = 2x = 2(3018.6)= 6037.2 pounds

So, 6037.2 pounds of bamboo shoots does the female panda eat.

find the future value of $750 deposited each month at 3.25% for 15 years

Answers

Answer:

P=1538.461

Step-by-step explanation:

do it by the formula of

I=PRT, I=750 R=3.25% T=15

Find the value of x. Round to the nearest degree.
A right triangle is drawn with an angle that is labeled x degrees. The leg opposite of the labeled angle is 7. The hypotenuse is 9.

Answers

Rounding to the nearest degree, we get x = 53 degrees.

We can use the inverse sine function (sin⁻¹) to find the value of x.

From the sine rule,

sin(x) = opposite/hypotenuse

\(sin(x) = 7/9\\x = sin^{-1}(7/9)\)

Using a calculator, we find that x is approximately 53.13 degrees. Rounding to the nearest degree, we get x = 53 degrees.

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If the distribution of absences was displayed in a histogram, what would be the best description of the histogram’s shape?.

Answers

The best description is skew right. (the date is missing in this question)

What is Skew right?

A distribution is right skewed if it has a “tail” on the right side of the distribution

The cumulative relative frequency graph shows that

The slope between 0 and 4 is substantially steeper than the curve between 6 and 14.

Then

Because most of the data values are between 0 and 4 (where the histogram's highest bar appears) and relatively few values lie between 6  and 14 the histogram's distribution should be skewed to the right, resulting in low bars tailing to the right side of the highest bars.

Because there are more data values between 0 and  4 than between 6 and 14 we can conclude that skewed right is the best description of the histogram's form. Hence, the it is skewed right.

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A television screen, length is 16 1/2 inches, width is w inches, and area is 462 square inches. Select all THREE equations that represent the relationship of the length, width, and area of the television.

Answers

Answer:

it's B, C, and D

Step-by-step explanation:

A. w ⋅ 462 = 16 1/2

not A

w * a ≠ l

B. 16 1/2 ⋅ w = 462

is B

l * w = a

C. 462 ÷ 16 1/2 = w

is C

a / l = w

D. 462 ÷ w = 16 1/2

is D

a / w = l

E. 16 1/2 ⋅ 462 = w

not E

l * a ≠ w

How do find a slope???? I'm so confused ​

Answers

Answer:

Slope =rise/run Slope = rise/run

Explanation:

Using two of the points on the line, you can find the slope of the line by finding the rise and the run. The vertical change between two points is called the rise, and the horizontal change is called the run. The slope equals the rise divided by the run

A deli sells sandwich spread 6.40 per pound. How much do you pay for 24 ounces

Answers

Answer:

$9.60

Explanation: Take the 24 ounces and divide that by 16 to get 1.5 pounds. Then multiply 6.40 by 1.5 and you get the answer of $9.60

Help me pls I beg you pls help me need answer I’m around 10 mins pls helpASAPP

Help me pls I beg you pls help me need answer Im around 10 mins pls helpASAPP

Answers

Answer:

-1, 1, 3, 5, 7, 9

Just replace x in the equation y=2x+3 with the values given in the question

The Smith Family is buying a house for $350,000 with a down payment of $70,000 for a 15-year loan, $66 per month insurance, property tax is $230 per month and HOA is $600 per year. Calculate their total monthly payment

Answers

Using monthly payment formula, the Smith Family's total monthly payment is approximately $2,360.99.

What is the Monthly Payment?

To calculate the total monthly payment for the Smith Family, we need to consider the mortgage payment, insurance, property tax, and HOA fees.

1. Mortgage Payment:

The loan amount is the house price minus the down payment:

$350,000 - $70,000 = $280,000.

To calculate the monthly mortgage payment, we need to determine the interest rate and loan term. Since you mentioned it's a 15-year loan, we'll assume an interest rate of 4% (which can vary depending on market conditions and the borrower's credit).

We can use a mortgage calculator formula to calculate the monthly payment:

M = P [i(1 + i)ⁿ] / [(1 + i)ⁿ⁻¹]

Where:

M = Monthly mortgage payment

P = Loan amount

i = Monthly interest rate

n = Number of months

The monthly interest rate is the annual interest rate divided by 12, and the loan term is 15 years, which is 180 months.

i = 4% / 12 = 0.00333 (monthly interest rate)

n = 180 (loan term in months)

Plugging in the values into the formula:

M = $280,000 [0.00333(1 + 0.00333)¹⁸⁰] / [(1 + 0.00333)¹⁸⁰⁻¹]

Using a calculator, the monthly mortgage payment comes out to be approximately $2,014.99.

2. Insurance:

The monthly insurance payment is given as $66.

3. Property Tax:

The monthly property tax payment is given as $230.

4. HOA Fees:

The HOA fees are stated as $600 per year. To convert this to a monthly payment, we divide by 12 (months in a year): $600 / 12 = $50 per month.

Now, let's add up all these expenses:

Mortgage payment: $2,014.99

Insurance: $66

Property tax: $230

HOA fees: $50

Total monthly payment = Mortgage payment + Insurance + Property tax + HOA fees

Total monthly payment = $2,014.99 + $66 + $230 + $50

Total monthly payment = $2,360.99

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You should restate your thesis and central idea in which part ofyour presentation?1)transitions2)conclusion3)body4)introduction Consider two standard Keynesian models. In Model 1, there are two types of consumers, Type A, who have low marginal propensities to consume, and Type B, who have high marginal propensities to consume. In Model 2, there are only Type B consumers. Then, an increase in the exogenous investment would lead to higher output in Model 2 than in Model 1. Find the measure of angle 1 if angle CUB=78. Name the special pair of angles formed. A postman delivers letter. (change the sentence into plural) A neighbor told Bob that he should apply a protective sealant to the driveway. Bob found a product at the home improvement store that comes in a $26.99 tub and covers 300 square feet. Disregarding tax, which of the following is the best estimate of the amount it will cost Bob to buy the sealant? If protein a has a pi of 3. 1, protein b has a pi of 6. 8, and protein c has a pi of 8. 9, which protein would elute first from a cation exchange column at ph 7?. A force F = (12.0 N)i is applied at the point (3.0 m, 4.0 m). Determine the magnitude of the torque about the point (-5.0 m. -20 m). 90 Nm 120 Nm O 24 Nm 72 Nm QUESTION 16 A force F= (8.0 Ni - (40 N)j + (8.0 Nyk is applied at the point (-3.0 m 2.0m, 5.0 m). Determine the torque about the origin 66 Nm counter-clockwise -(18 Nmji (8.0 Nm) - (40 Nmk (4.0 Nmji + (8.0 Nm O 68 Nm clockwise The one indispensable element of a crime is the _____. a. mens rea b. strict liability c. actus reus d. fusion of act and intent T/F show that regardless of the testing point used we arrive at the same answer for the direction of a phse plane Consider two cylindrical objects of the same mass and radius. Object A is a solid cylinder, whereas object B is a hollow cylinder.How fast, in meters per second, is object A moving at the end of the ramp if it's mass is 130 g, it's radius 34 cm, and the height of the beginning of the ramp is 17.5 cm? How fast, in meters per second, is object B moving at the end of the ramp if it rolls down the same ramp? Ten more than five times a number equals five more than ten times the number. What is the number? Which measuring tool should be used to measure the diameter of a soda can?A.graduated cylinderB.metric rulerC.stopwatchD.spring scale The figure(Figure 1) shows the velocity graph of a 2.7kg object as it moves along the x-axis.A) What is the net force acting on this object at t= 1 s?B) At 4 s?C) At 7 s? The range of the following relation R(3,-2), (1, 2), (-1, -4),(-1, 2)} is {-1, 1, 3) {-1, -1, 1.3} (-4, -2, 2. 2) (-4, -2.2 without it saying brainly plus A 1.00-km steel railroad rail is fastened securely at both ends when the temperature is 20.0C . As the temperature increases, the rail buckles, taking the shape of an arc of a vertical circle. Find the height h of the center of the rail when the temperature is 25.0C . (You will need to solve a transcendental equation.) I have homework and I need help ..Ahmed is .. Ali at English1)as good2)good as3)better than a bowl contains 10 red balls and 10 blue balls. you select balls at random without looking at them. a. how many must you select to guarantee at least three balls of the same color have been chosen? b. how many must you select to guarantee at least 3 red balls have been selected. Which types of polygons are the faces of a octahedron A separate account for each customer to track how much each customer purchases, has already paid, and still owes is recorded in the Accounts Payable control account. True False determine the tension in the cables in order to support the 100 kg crate