5
Sylvia wants to cover the floor of a room with carpet.
She will need exactly 36 square yards of carpeting to
cover the floor. When Sylvia arrives at the store to
purchase the carpet, she is told that she must place her
order in square feet. Assuming no waste, how many
square feet of carpet does Sylvia need to order to have
the exact amount necessary to cover the floor?

Answer: x = 27

Step-by-step explanation:

Answer:

x = 27

Step-by-step explanation:

you divide 81 by 3 because you want to get x by itself.

3x = 81

--      --

3      3

x=27

Answer

Step by step explanation

We experienced a lot of difficulties when submitting the answer to this question due to technical issues. Please check the files below to show how we have computed them. We make sure to made screenshots right here showing the step by step process to solve the question and also attached a word document for the question

Step-by-step explanation:

this is the answer

25+10y+y^2

The average value of a, b, c, d, and e is

(a + b + c + d + e)/5 = 14

Given that the average value of a, b, c, and d is

(a + b + c + d)/12,

we have

14 = (a + b + c + d + e)/5

14 = (a + b + c + d)/5 + e/5

14 = 4/5 • (a + b + c + d)/4 + e/5

14 = 4/5 • 12 + e/5

14 = 48/5 + e/5

14 = (48 + e)/5

70 = 48 + e

e = 22

Answer: rational

Step-by-step explanation:

Answer:

5/2 is rational

Step-by-step explanation:

rational numbers either end and don't repeat or they repeat the same numbers like 0.359 or 0.333333333333333...

5/2 = 2.5 and it just ends with no repeating

5/2 is rational

Answer:

the answer is c

Step-by-step explanation:

no soloutions have the same slope but different intercepts so it cannot be d because the slopes are different.

Answer:

x<-2

Step-by-step explanation:

17+4x<9

4x<-8

x<-2

The solution is:

Work/explanation:

Recall that the process for solving an inequality is the same as the process for solving an equation (a linear equation in one variable).

Make sure that all constants are on the right:

\(\bf{4x < 9-17}\)

\(\bf{4x < -8}\)

Divide each side by 4:

\(\bf{x < -2}\)

The cumulative distribution function (cdf) of a random variable is defined as the probability that the random variable X takes on a value less than or equal to x. The cdf is therefore defined as F(x) = P(X ≤ x). Now, we have to find the cdf of X. Therefore, we must calculate the probability that X is less than or equal to some value x.

Using the density function, we can calculate the cdf of X as follows:

For 0 ≤ x < 2,

fx(x) = 3x5

So,F(x) = ∫0x3t5dt= x6.

For x < 0, F(x) = 0.

For x > 2,

F(x) = 1.

Finding P(X > 1)P(X > 1)

= 1 - P(X ≤ 1)

= 1 - F(1)

= 1 - (1/6)

= 5/6

Finding E[X]:

The expected value of X is given by:

E(X) = ∫(-∞)∞x.f(x)dx.

For 0 ≤ x < 2,

fx(x) = 3x5

∴ E(X) = ∫0∞x.3x5dx

          = 3x716∣∣∣∣02

         = 310

Thus, the çdf of X is F(x) = { 0 for x ≤ 0;

                                              x6 for 0 < x < 2 ;

                                                1 for x ≥ 2 }

The probability that X > 1 is 5/6. The expected value of X is E(X) = 310. The density function of Y is

fy(y) = 1√yfx(√y) = { otherwise 15y32 for 0 < y < 4, 0 elsewhere }.

To know more about the cumulative distribution function, visit:

brainly.com/question/30402457

#SPJ11

Answer:

1/4

Step-by-step explanation:

That is because \(\frac{1}{4}x=y\). One each line, you would divide y by x to get the constant, which is 1/4.

Answer: 56

Step-by-step explanation:

A number written in the form p/q such that q ≠ 0 will be rational if and only if p and q both are integers so option (A) will be correct.

Any real number that cannot be written as the quotient of two integers, p/q, where p and q are both integers, is referred to as an irrational number.

Let's suppose a decimal number,

2.256

By removing decimal

2.256 → 2256/1000 here 2256 and 1000 both are integers which means they will be a rational numbers.

Now take another example,

√2 → √2/1 here √2 is not an integer and if we expand √2 then it will be non-repeating and non-terminating so we cannot write in form of p/q.

Hence "A number written in the form p/q such that q ≠ 0 will be rational if and only if p and q both are integers".

For more about the irrational number,

https://brainly.com/question/4031928

#SPJ2

Let's take a look at DIana's garden:

From the statement of the perimeter, we get that:

Therefore, the width of the garden is:

And the lenght:

Given:

The set of ordered pairs in the options:

(a) (2, 3), (2, 2), (2, 4), (2, 9), (2, –2)

(b) (1, 5), (2, 6), (1, 6), (4, 5), (1, 4)

(c) (1, 0), (2, 0), (1, 3), (4, 3), (5, 7)

(d) (5, 1), (7, 3), (9, 5), (11, 7), (13, 9)

To find:

The set of ordered pairs that could represent a function.

Solution:

A set of ordered pairs represent a function, if there exist unique output (y-value) for each input (x-value).

In option (a) we have, five output values y=3,2,4,9,-2 for single input x=2. So, it is not a function.

In option (b) we have, three output values y=5,6,4 for single input x=1. So, it is not a function.

In option (c) we have, two output values y=0,3 for single input x=1. So, it is not a function.

In option (d), all inputs has unique output.

Therefore, the correct option is (d).

Answer:

(5, 1), (7,3), (9,5), (11, 7), (13, 9)

Step-by-step explanation:

The conjecture that describes the pattern in the sequence is current term is 2 added to the previous term and the next term is 10

The sequence is given as:

0, 2, 4, 6, 8

In the above sequence, we can see that each current term is 2 added to the previous term

i.e.

Tn = 2 + Tn-1

Using the above conjecture, we have

Next term = 8 + 2

Evaluate

Next term = 10

Hence, the conjecture that describes the pattern in the sequence is current term is 2 added to the previous term and the next term is 10

Read more about sequence at:

https://brainly.com/question/7882626

#SPJ1

Given f(x)=2−∣x−5∣

Domain of f(x) is defined for all real values of x.

Since, ∣x−5∣≥0⟹−∣x−5∣≤0

⟹2−∣x−5∣≤2⟹f(x)≤2

Hence, range of f(x) is (−∞,2].

The domain of the function  y= 2√x-6 is [6, ∞).

A relation is a function if it has only One y-value for each x-value.

In the given function, we have a square root of x-6 which means that the value inside the square root must be non-negative, otherwise the function will not be real.

Therefore, we have x - 6 ≥ 0

Adding 6 to both sides, we get:

x ≥ 6

So, the domain of the function y = 2√(x-6) is all real numbers greater than or equal to 6.

In interval notation, we can write the domain as:

Domain: [6, ∞)

Hence, the domain of the function  y= 2√x-6 is [6, ∞).

To learn more on Functions click:

https://brainly.com/question/30721594

#SPJ5

Using proportions, it is found that the statement that Tiffany would expect the spinner to land on a color section beginning with the letter "B" roughly 48 times is True.

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

In this problem, out of 8 sections, 4(Blue, Brown, Bronze and Black) begin with letter "B". We want to find the equivalent amount out of 98 trials. Hence, the rule of three is:

8 trials - 4 start with "B".

96 trials - n start with "B".

Applying cross multiplication:

8n = 4 x 96

n = 0.5 x 96

n = 48.

Hence, the statement is True.

More can be learned about proportions at https://brainly.com/question/24372153

i didn’t realize u were chill like that

The surface area of the cylinder is 785 cm²

A cylinder is a three-dimensional shape consisting of two parallel circular bases, joined by a curved surface.

A cylinder consist of two circular bases. The volume of a cylinder is expressed as πr²h.

The surface area of a cylinder is expressed as;

SA = 2πr( r+h)

Where r is the radius and h is the height of the cylinder.

radius = diameter /2

= 10/2 = 5cm

height = 20cm

Therefore;

SA = 2 × 3.14 × 5( 5+20)

SA = 31.4 × 25

SA = 785 cm²

learn more about surface area of cylinder from

https://brainly.com/question/27440983

#SPJ1

The result of the given program AX-0002 can be summarized as follows:
- AX = 0009
- BX = 0006

Now, let's break down the steps of the program to understand how the result is obtained:

1. MOV BX, AX: This instruction moves the value of AX into BX. Since AX has the initial value of 0002, BX now becomes 0002.

2. ASHL BX: This instruction performs an arithmetic shift left operation on the value in BX. Shifting a binary number left by one position is equivalent to multiplying it by 2. So, after the shift, BX becomes 0004.

3. ADD AX, BX: This instruction adds the values of AX and BX together. Since AX is initially 0002 and BX is now 0004, the result is AX = 0006.

4. ASHL BX: Similar to the previous step, this instruction performs an arithmetic shift left on BX. After the shift, BX becomes 0008.

5. INC BX: This instruction increments the value of BX by 1. So, BX becomes 0009.

Therefore, at this point, the result is AX = 0006 and BX = 0009.

It is important to note that the given program does not contain any instructions that assign values to OAX or change the value of OAX and BX directly. Therefore, the final results for OAX and BX remain unchanged, which are OAX = 0006 and BX = 0009, respectively.

Learn more about program here: brainly.com/question/30613605

#SP11

The angle in radians between the vectors a = (-3, 3, 10) and b = (3, -10, 4) is 1.89 radians (rounded to two decimal places) which is calculated using the dot product formula.

To find the angle between two vectors, we can use the dot product formula which is given by: a · b = ||a|| ||b|| cosθwhere a and b are the vectors, ||a|| and ||b|| are the magnitudes of vectors a and b respectively, and θ is the angle between them.

In order to find the angle between the given vectors, we need to calculate the dot product of vectors a and b and their magnitudes. The magnitudes can be found using the formula:||a|| = √(a1² + a2² + a3²)||b|| = √(b1² + b2² + b3²)where a1, a2, a3 are the components of vector a and b1, b2, b3 are the components of vector b.

Using the formulas above, we get: ||a|| = √((-3)² + 3² + 10²) = √118||b|| = √(3² + (-10)² + 4²) = √125. To calculate the dot product, we need to multiply corresponding components of the two vectors and then add them up: a · b = (-3)(3) + (3)(-10) + (10)(4) = -9 - 30 + 40 = 1

Finally, we can substitute the values we calculated into the dot product formula to get:1 = √118 √125 cosθcosθ = 1 / (√118 √125)θ = cos⁻¹(1 / (√118 √125)) = 1.89 radians (rounded to two decimal places). Therefore, the angle in radians between the vectors a = (-3, 3, 10) and b = (3, -10, 4) is 1.89 radians.

Know more about dot product here:

https://brainly.com/question/29097076

#SPJ11

Answer:

Here is answer

...........

please give Brainliest

Answer:

is this the homework you have?

Step-by-step explanation:

The standard deviation of the sum of the two independent random variables is 5.

The standard deviation of the sum of two independent random variables is equal to the square root of the sum of the variances of each random variable.

To find the standard deviation of the sum of two independent random variables, you can use the following formula:

Standard deviation of the sum (σ_sum) = √(σ₁² + σ₂²)

Here, σ₁ and σ₂ are the standard deviations of the two independent random variables.

Given: σ₁ = 3 and σ₂ = 4

Now, plug the values into the formula:

σ_sum = √(3² + 4²) = √(9 + 16) = √25 = 5

So, the standard deviation of the sum of the two independent random variables is 5.

to learn more about standard deviation click here:

brainly.com/question/13905583

#SPJ11

Step-by-step explanation:

Option B's equation y = -1/5x + 1/10 has the same slope as the linear function depicted in the table.

One way to describe a linear function is as an algebraic equation with variables raised to the power .A straight line makes up the graph of a linear equation. Y = mx + b, where x and y are variables and m and b are constants, is one of the most typical examples of a linear function.

For instance, if we have the linear function f(x) = 2x + 3, we may calculate the value of f(4) by changing x to 4 and getting f(4) = 2(4) + 3 = 11.

Calculating the difference between y and x for any two points will allow us to determine the slope of the linear function shown in the table. Let's pick the first and last items from the table:

Slope = (change in y) / (change in x) = (0-1/5) / (1/2 - (-1/2)) = (-1/5) / 1 = -1/5

As a result, the table's linear function has a slope of -1/5.

The next step is to find the linear function whose slope is equal to -1/5. Let's look at the possibilities:

A) y = 1/2x + 1/10, slope = 1/2; B) y = -1/5x + 1/10, slope = -1/5 (correct)

C) y = 1/5x - 1/2, slope = 1/5; D) y = 1/2x - 1/10, slope = 1/2

As a result, option B, y = -1/5x + 1/10, is the linear function with the same slope as the one shown in the table.

To know more about linear function visit:

https://brainly.com/question/14695009

#SPJ1

The linear function with the same slope as the one represented by the table is: y = -1/5x + 1/10

So the answer is B) y = -1/5x + 1/10.

A linear function is a mathematical function that has a graph that is a straight line.

It can be represented by the equation y = mx + b, where x and y are variables, m is the slope of the line, and b is the y-intercept.

To find the slope of the linear function represented by the given table, we can choose any two points and use the slope formula:

slope = (change in y) / (change in x)

Let's choose the points (-1/2, 1/5) and (1/2, 0):

slope = (0 - 1/5) / (1/2 - (-1/2))

= (-1/5) / 1

= -1/5

So the slope of the linear function is -1/5.

Now we need to find the linear function with the same slope.

The general form of a linear function is y = mx + b, where m is the slope and b is the y-intercept. We know that the slope is -1/5, so we can eliminate answer choices A and D, which have slopes of 1/2 and 1/2, respectively.

To determine the y-intercept, we can use one of the points from the table. Let's use the point (-1/2, 1/5):

1/5 = (-1/5)(-1/2) + b

Simplifying:

1/5 = 1/10 + b

b = 1/5 - 1/10

b = 1/10

So the y-intercept is 1/10.

To know more about slope visit:

https://brainly.com/question/13407962

#SPJ1

Answer:

26.70

Step-by-step explanation:

Multiply 24.99 times 0.0685(being the percentage into a decimal)

Then add the end result to 24.99 to receive 26.70

Answer:

Step-by-step explanation:

I'm assuming you provided the equation: \(80^{\frac{1}{4}}x\)

In general any nth root can be rewritten as: \(\sqrt[n]{x} = x^{\frac{1}{n}}\)

We can refer to the law of exponents, to prove why this is the case.

You may recall from the law of exponents, the power of a power rule: \((x^a)^b=x^{ab}\)

So if we take the value: \(x^\frac{1}{n}\) and raise it to the nth power as such: \((x^\frac{1}{n})^n\), we can multiply the exponents to get: \(x^\frac{n}{n}=x^1=x\)

This is by definition the nth root, if we can raise this to the nth power to get the original value.

So we can rewrite raising x to the one-fourth, as the fourth root of 80.

From here we get: \(x\sqrt[4]{80}\)

Assuming your equation was actually: \(80^{\frac{1}{4}x}\)

We can actually use our power to a power rule, since it goes both ways.

We can rewrite: \(80^{\frac{1}{4}x}\implies (80^x)^\frac{1}{4}\)

From here we can use our nth root definition which we proved above to get the following: \(\sqrt[4]{80^x}\)

Note: We could've rewritten the expression as such \(80^{\frac{1}{4}x}\implies (80^\frac{1}{4})^x\), since multiply the exponents would give us our original expression, with further simplification giving us: \((\sqrt[4]{80})^x\), and this would give us the same expression, both are equally valid (except in certain cases where the domain may change as a result)

Answer:

The slope is zero.

Step-by-step explanation:

Imagine the graph. \(y=3\) would simply be a horizontal line. All horizontal lines have slopes of 0. You can also use the slope formula if necessary to try it out.

On the other hand, if the line was vertical (e.g. \(x=3\)), then the slope would be undefined.

Answer: The line y=3 is a horizontal line, and a horizontal line has a slope of zero. The only lines parallel to a horizontal line are other horizontal lines. Therefore, there is no slope.

Step-by-step explanation:  y=3  rewritten as  y=0x+3

For a line equation for the form of y=mx+b, the slope is m

m=0

Answer:

75.40 cm²

Step-by-step explanation:

SA = 2πrh + 2πr²

SA = 2π(2)(4) + 2π(2)²

SA = 50.27 + 25.13

SA = 75.40 cm²

Based on the given clues, we can determine the person, drink, and price paid for each individual:

Calvin: Root Beer, $4.99

Dean: Lemonade, $7.99

Kelli: Water, $6.99

Lee: Iced Tea, $5.99

From clue 1, we know that either Calvin or the person who got the Root Beer paid $4.99. Since Calvin paid more than Lee according to clue 4, Calvin cannot be the one who got the Root Beer. Therefore, Calvin paid $4.99.

From clue 2, Kelli paid $6.99.

From clue 3, the person who got the water paid $1 less than Dean. Since Dean paid the highest price, the person who got the water paid $1 less, which means Lee paid $5.99.

From clue 5, the person who got the Root Beer paid $1 less than the person who got the Iced Tea. Since Calvin got the Root Beer, Lee must have gotten the Iced Tea.

Therefore, the final assignments are:

Calvin: Root Beer, $4.99

Dean: Lemonade, $7.99

Kelli: Water, $6.99

Lee: Iced Tea, $5.99

Learn more about word problems at https://brainly.com/question/21405634

#SPJ1