a rectangle has a length of x3y4 inches a width of xy7 inches. which expression represents the ratio of the length of the rectangle to the width of the rectangle?

Answers

Answer 1

Answer: R = x^2/y^3

Step-by-step explanation:

here we will use the relation:

x^a/x^b = x^(a - b)

We know that:

Length = x^3*y^4

Width = x*y^7

And we want to find an expression that represents the ratio between the length and the width.

Then we just need to take the quotient Lenght/width or:

R = ( x^3*y^4)/(x*y^7)

Now first let's distribute in such way the x's and the y's are separated, and then let's use the relationship that is above.

= (x^3/x)*(y^4/y^7) = x^(3 - 1)*y^(4 - 7) = x^2*y^-3

R = x^2/y^3

Answer 2

The ratio of the length of the rectangle to the width of the rectangle is  \(\frac{x^{2} }{y^{3} }\)

Rectangle:

Given that,

Area of rectangle is multiplication of length and width of rectangle.

length of rectangle \(=x^{3} y^{4}\) inches

Width of  rectangle  \(=xy^{7}\) inches.

the ratio of the length of the rectangle to the width of the rectangle is,

                 \(=\frac{x^{3}y^{4} }{xy^{7} } =\frac{x^{2} }{y^{3} }\)

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Related Questions

how much is 40 degrees celsius to fahrenheit?

Answers

Answer:

104 celcius

Step-by-step explanation:

Help me with rewriting radical expressions please

Help me with rewriting radical expressions please

Answers

Answer:

Below

Step-by-step explanation:

a^3 / sqrt(ab)  = b     multiply both sides by sqrt (ab)

a^3 = b sqrt(ab)        square both sides

a^6 = b^2 (ab)           simplify

a^5 = b^3

Given N(-6,-8), O(5, 3), P(0, 9), and Q(x, 1). Find a such that NO || PQ.

Answers

The value of x is -8.

1).

N(-6,-8), O(5, 3), P(0, 9), and Q(x, 1).

slope between NO = y2 - y1 / x2 - x1

= 3 - (-8) / 5 - (-6)

= 3+8 / 5+6

= 11/11

= 1

slope between PQ = 1-9 / x-0

= -8/x.

Given lines are parallel so there slopes are equal

1 = -8/x

x = -8.

Therefore the value of x is -8.

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Will give brainliest

Will give brainliest

Answers

Answer:

I hope someone can help you :)

Step-by-step explanation:

BTW I can't see the image its white for  me :( Sorry

Please help you got ten min

DO IT STEP BY STEP

Please help you got ten minDO IT STEP BY STEP

Answers

Step-by-step explanation:

Please help you got ten minDO IT STEP BY STEP

Sovlve the equation. Show work.
4x - 9 - x = 21

I really need help on this question. 7th grade

Answers

Answer:

x = 10

Have a good day! Brainliest?

Answer:

x= 10

Step-by-step explanation:

4x- 1x= 3x

3x- 9 = 21

3x- 9 (+9)= 21 (+9)

3x= 30

3x (÷3)= 30 (÷3)

x= 10

review that i need to finish ): i got stuck on a problem.. please help

review that i need to finish ): i got stuck on a problem.. please help

Answers

Given the inequality:

\(3a<39\)

This mean that 3a is less than 39.

The problem that could be solved using the inequality above is:

Three equal priced shirts came to under $39

Where a represents the shirt.

ANSWER:

B) Three equal priced shirts came to under $39

Will mark brainliest!! Please help asap!!

Will mark brainliest!! Please help asap!!

Answers

Answer:

the answer is A

Step-by-step explanation:

Helpppp!!!!
Which of the following are square roots of the number below? Check all that
apply.

49

A. 7
B. 28
C. 8
D. -491/2
E. -7
F. 491/2

Answers

Answer:

Step-by-step explanation:

Because 7(7)=(-7)(-7)=49 the square roots of 49 are 7 and -7

355,348,341... find the 38th term

Answers

Answer:

96

Step-by-step explanation:

This is an arithmetic sequence

First term = a1 = 355

Common difference = d = second term - first term = 348 - 355 = (-7)

\(a_{n}=a+ (n-1)*d\\\\a_{38}=355 + (38-1)*(-7)\\\\=355 + 37 *(-7)\\\\= 355 - 259\\\\= 96\)

The 38th term of the given arithmetic sequence is 96.

The given arithmetic sequence is 355, 348, 341...

An arithmetic sequence is a sequence of numbers where the differences between every two consecutive terms is the same. The general form an arithmetic sequence is \(a_n=a+(n-1)d\).

Here, first term (a)=355 and the common difference (d) = 348-355

= 7

Here, the 38th term is \(a_{38}=355+(38-1)(-7)\)

\(a_{38}=355-259\)

\(a_{38}=96\)

Therefore, the 38th term of the given arithmetic sequence is 96.

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I need help someone pls help me

I need help someone pls help me

Answers

Answer:

quit

Step-by-step explanation:

what do u think?

4< -2x + 3 <9
Compound inequalities

Answers

Answer:

-3 < x < -1/2

Step-by-step explanation:

4<-2x+3<9

1<-2x<6

-1/2 > x > -3

so

-3 < x < -1/2

Solve the system of linear equations by graphing y= -x+4 and y= 2x-8 what is the solution

Answers

Answer:

4=x

Step-by-step explanation:

y=-x+4

y=2x-8

-x+4=2x-8

+x       +x

4=3x-8

+8   +8

12=3x

/3   /3

4=x

Select all that apply.

Chandler can mow 2 lawns per hour. If L represents lawns and H represents hours, which of the following equations represent this rate relationship?
L = 2 × H
H = × L
H = 2 × L
L = × H

Answers

Answer:

L = 2 × H

Step-by-step explanation:

The amount of lawns mowed would equal 2 times how many hours because he can mow 2 lawns in a hour.

Answer:

mark other guy brainliest pls. good answer guy above my head

Step-by-step explanation:

Given the conditional statement:
p <
Choose the logically equivalent statement.
Op →q
-p-9
9 → P
9-→ -p

Answers

Answer:

the third one

Step-by-step explanation:

B = p ∩ q

B is the common part of p and q

The conditional statement P→Q is logically equivalent to its contrapositive ¬Q→ ¬P .

What is Conditional Statement?

Conditional statements are ones that begin with a hypothesis and end with a conclusion or rationale. It is sometimes referred to as the "If-then" statement.

In mathematics, a statement is a declarative utterance that can only be true or false. A statement is sometimes known as a proposition. It is critical that there be no ambiguity.

A contrapositive assertion is created when we reverse the hypothesis and conclusion of a statement and disprove both of them.

To put it another way, we must first find the inverse of the supplied conditional statement before swapping the places of the hypothesis and conclusion to find the contrapositive.

We have, p→q , then the inverse of both the statements is given by ¬p and ¬q .

So, the contrapositive statement will be ¬p → ¬q

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I have a D in math. May someone please help me with my assignment so I can bring my grade up? Thank you so much! 20 points by the way!!!

I have a D in math. May someone please help me with my assignment so I can bring my grade up? Thank you

Answers

Answer:

$1125

Step-by-step explanation:

you can see on the y graph that the highest point it reaches is more than 1100 dollars so it is $1125.

Drag the factors to the correct locations on the image. Not all factors will be used.

What is the factored form of this expression?
27 m3 + 125m3​

Drag the factors to the correct locations on the image. Not all factors will be used. What is the factored

Answers

Answer:

This is correct, i just did the mastery test

Step-by-step explanation:

Trust :)

Drag the factors to the correct locations on the image. Not all factors will be used. What is the factored

The factored form is (3m+ 5n) (9m² -15mn + 25n²).

What are polynomials?

Polynomials are sums of terms of the form k⋅xⁿ, where k is any number and n is a positive integer.

Given:

27 m³ + 125n³

Now, factorizing using the identity

a³ + b³ = (a + b) (a² -ab + b²)

now, 27 m³ + 125m³

=(3m)³ + (5n)³

=(3m + 5n) [(3m)² -3m*5n + (5n)²]

=(3m+ 5n) (9m² -15mn + 25n²)

Hence, the factored form is (3m+ 5n) (9m² -15mn + 25n²).

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Which branch of statistics would employ probability to predict how many miles one should be able to drive a 2000 toyota celica during its lifetime?

Answers

The inferential statistics would employ the probability to predict how many miles one should be able to drive a 2000 Toyota Celica during its lifetime.

What is inferential statistics?The branch of statistics that deals with the sample data to predict or generalize the larger data is inferential statistics.This statistic is based on the probability theory.

How the inferential statistics are predicted?

The inferential statistics are calculated by using analytical tools such as test-statistic values, degree of freedom, sample size, and the rejection criteria(assumption or hypothesis).

Thus, the given information is about predicting the miles. So, according to the probability theory, it needs a sample of data about 2000 Toyota Celica.

Hence, it falls under the inferential branch of statistics. So, option C is correct.

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Disclaimer: The given question on the portal was incomplete. Here is the complete question.

Question: Which branch of statistics would employ probability to predict how many miles one should be able to drive a 2000 Toyota Celica during its lifetime?

A. Predictive statistics

B. Descriptive statistics

C. Inferential statistics

D. Differential statistics

The picturegram shows information about CDs sold in a shop.

1 . How manny CDs were sold on Wednesday | Key = 3 |
2. How manny more CDs were sold on Thursday than Wednesday?
**If you know the answer let me know!**

The picturegram shows information about CDs sold in a shop.1 . How manny CDs were sold on Wednesday |

Answers

Answer:

i believe number 1 is 18 and number 2 is 9.

Step-by-step explanation:

if one full circle represents 6 CDs then on wednesday 18 Cds were sold because 6+6+6=18 and on thursday they sold 9 more Cds than on wednesday because they sold 6+6+6+6+3 which equals 9.

using a significance level of 0.01, the critical value of the appropriate test statistic to conduct the test of hypothesis for the belief that there is a difference in the mean productivity is:

Answers

The critical value using a significance level of 0.01 is equal to 2.797.

According to the question, the total number of observations is given by the formula

Total number of observations = n₁ + n₂, Also, n₁ = 13 and n₂ = 13 so

Total number of observations = 13+13 = 26

We know that the Degree of freedom is equal to two less than the total number of observations that is

26 - 2 = 24

=> Degree of Freedom = 24

If we use the t-distribution table, the critical value which is corresponding to 24 degrees of freedom and 0.01 significance level is equal to 2.797

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Complete Question:

An operations manager with General Motors corporate offices wishes to determine if the true mean productivity of employees at its Detroit, Michigan plant is different from its Opel/Vauxhall Plant in Bochum, Germany. For this analysis, productivity will be measured by the number of cars that employees assemble per day. Random samples of employees in Detroit and Bochum are selected, and the productivity scores at each assembly plant are recorded. The following results are obtained.

t-Test: Two-Sample Assuming Equal Variances

Detroit

Bochum

Mean

58.5

54.3

Variance

42

56

Observations

13

13

Pooled Variance

XX

Hypothesized Mean Difference

0

df

XX

t Stat

XXXXX

P(T<=t) one-tail

XXXXX

t Critical one-tail

XXXXX

P(T<=t) two-tail

XXXXX

t Critical two-tail

XXXXX

Using a significance level of 0.01, the critical value of the appropriate test statistic to conduct the test of hypothesis for the belief that there is a difference in the mean productivity is:

the molar ratio of cu to o is 2 to 1. the empiricial formula is

Answers

The empirical formula is CuO.

The molar ratio of Cu to O is given as 2 to 1. This ratio indicates that for every 2 moles of copper (Cu), there is 1 mole of oxygen (O). Based on this information, we can determine the empirical formula of the compound.

An empirical formula represents the simplest whole-number ratio of atoms in a compound. In this case, since the molar ratio is 2 to 1, it means that the compound contains twice as many moles of copper as it does oxygen.

To find the empirical formula, we can assume a convenient number of moles for one of the elements. Let's assume we have 2 moles of copper. Since the molar ratio is 2 to 1, we would have 1 mole of oxygen. Therefore, the empirical formula would be CuO, indicating one mole of copper and one mole of oxygen.

In summary, the empirical formula of the compound with a molar ratio of Cu to O as 2 to 1 is CuO, representing one mole of copper and one mole of oxygen.

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There are 9 crates of oranges. There are 18 boxes of oranges in each crate. There are 6 bags of oranges in each box. How many bags of oranges are there in all?

Answers

Answer:

972

Step-by-step explanation:

First, multiply 6 and 18 together to get 108.

Next, multiply 108 and 9 together to get your final answer of 972.

work out the reciprical of 3.5

Answers

Answer:

       \(\frac{2}{7}\)

Step-by-step explanation:

3.5 = \(\frac{7}{2}\)

swap the numerator and denominator (flip the fraction):

reciprocal of \(\frac{7}{2}\) is \(\frac{2}{7}\)


please help asap, will give brainliest and 5.0 star rating

please help asap, will give brainliest and 5.0 star rating

Answers

Answer:

The mean is 3

Step-by-step explanation:

The mean is 4……………. Z

Natoshia's den is 4 feet longer than it is wide. If the​ den's area is 320 square​ feet, what are the dimensions of the​ room?

Answers

Dimensions : 16 x 20

Let the width be xthen the length: x + 4

                     area of rectangle = Length * Width

solving steps:

(x+4)(x) = 320x² + 4x = 320x² + 4x - 320 = 0x² +20x -16x -320 = 0x(x + 20) -16(x+20) = 0(x-16)(x+20) = 0x = 16, -20x = 16                     [ As length or width can never be negative ]

So we found Width = 16 feet

Length:

16 + 420 feet

Answer:

width = 16 ft

length = 20 ft

Step-by-step explanation:

Let width = x

If the length is 4 ft longer than the width, then

⇒ length = x + 4

Area of a rectangle = width × length

Given:

area = 320width = xlength = x + 4

Substituting these values into the equation for the area of a rectangle and solving for x:

⇒ 320 = x(x + 4)

⇒ 320 = x² + 4x

⇒ x² + 4x - 320 = 0

⇒ (x - 16)(x + 20) = 0

⇒ x = 16, -20

As distance is positive, then x = 16 only.

Therefore, width = 16 ft and length = 20 ft

10.
Write an equation for the line that is parallel to the given line and that passes through the given point.
y = –5x + 3; (–6, 3)

A. y = –5x – 27
B. y = –5x + 9
C. y = 5x – 9
D. y = –5x + 27

Answers

Answer:

A. y = –5x – 27

Step-by-step explanation:

You would need a new y-intercept in order for this to be parallel. So you use the points given and the slope and fill it in. 3=-5(-6)+b. 3=30+b. Then subtract 30 from both sides. -27=b. Then just put it all back into slope intercept form. y=-5x-27.

y = –5x + 3

slope of the given line by comparing with y=mx+b is

m= - 5

Concept is that the slope of parallel lines are equal so we need a line with slope same as m=-5

and passes through point (-6,3)

Equation using the point slope equation

y-3 = -5 (x-(-6))

y-3=-5(x+6)

y-3= -5x-30

y= -5x -27

A

Find the present value of a 5-year zero-coupon bond with a $2,000 par value. Assume the annual market interest rate is 10%.

Please show your work (preferably in Excel)!

Answers

To calculate the present value of a zero-coupon bond, we can use the formula: Present Value = Future Value / (1 + Interest Rate)^n


where Future Value is the par value of the bond, Interest Rate is the annual market interest rate, and n is the number of years. In this case, the Future Value is $2,000, the Interest Rate is 10% (or 0.10), and the number of years is 5. Using Excel, we can calculate the present value as follows:
1. In cell A1, enter the Future Value: 2000
2. In cell A2, enter the Interest Rate: 0.10
3. In cell A3, enter the number of years: 5
4. In cell A4, enter the formula for calculating the present value: =A1 / (1 + A2)^A3
5. Press Enter to get the result.

The present value of the 5-year zero-coupon bond with a $2,000 par value and an annual market interest rate of 10% is $1,620.97.

The formula for present value calculates the current worth of a future amount by discounting it back to the present using the interest rate. In this case, the future value is $2,000, and we divide it by (1 + 0.10)^5 to account for the effect of compounding over 5 years. The result is the present value of $1,620.97, which represents the amount that is considered equivalent to receiving $2,000 in 5 years at a 10% interest rate.

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multiply 2 by r, then multiply 9 by the result

Answers

Answer:

2×r=2r

2r×9=18r

Hope this helps:)

Answer:

9(2r)

Step-by-step explanation:

2×r =2r

9×2r can be written as 9(2r)

We could write this as 18r but it is best to leave it at 9(2r)

mako runs m miles each day. de 'Anthony runs twice as many miles as mako. altogether. they run 18 miles each day. how many miles does mako run each day.

(the instructions were: create an equation to help solve each real world problem. i need the equation and the steps to solve it. i'm so lost with this. and i'm in the 9th grade.)

Answers

Mako runs 3 miles each day

The first step is to write out the parameters given in the question

Mako runs miles each day

Anthony runs twice as many miles as Mako = 2m

Altogether, they run for 18 miles each day

Let m represent the number of miles that mako run each day

The equation that can be used to solve the question is

m + 2m= 18

The number of miles  run by Mako each day can be calculated as follows

m + 2m= 18

collect the like terms

3m= 18

Divide both sides by the coefficient of m which is 3

3m/3= 18/3

m= 6

Hence Mako runs 3 miles each day

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what is the domain of the function g(x)
pls help what are the answers a through f

what is the domain of the function g(x)pls help what are the answers a through f

Answers

Answer:

Domain : (-∞, ∞)

Step-by-step explanation:

Domain of a function is a set of x-values of the function.

Therefore, all x-values at which the given function is defined will be the domain of the function.

From the graph attached,

Given function is defined for all x-values.

Domain : Set of all real numbers.

Or Domain : (-∞, ∞)

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