Find the length of the unknown side. Round your answer to the nearest whole number.

Answer:

$415.0575

Step-by-step explanation:

Given:

Scale measurement

1 inch = 3 feet.

In the drawing, the length is 5.5 inches and the width is 3.25 inches.

Length = 5.5 × 3

= 16.5 feet

Width = 3.25 × 3

= 9.75 feet

Area of the bedroom = length × width

= 16.5 feet × 9.75 feet

= 160.875 square feet

carpets cost $2.58 per square foot

Cost of carpeting the bedroom = Area of the bedroom × cost of carpet per square foot

= 160.875 × 2.58

= $415.0575

Cost of carpeting the bedroom = $415.0575

Answer:

15-5y=20

15-20=5y

-5=5y

y=-1

Answer:

1

Step-by-step explanation:

[tex]swap \: - 5y \: and \: 15[/tex]

working step:

[tex]

15+−5y=20 \\

−5y+15=20 \\

−5y+15−15=20−15 \\

−5y=5 \\

−5y−5=5−5 \\

y=−1

[/tex]

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Answer:tbh, that's impossible

Step-by-step explanation:

Answer:

20 days

Step-by-step explanation:

we know: we can represent the number of days 18 scouts did as "x"

15 scouts = 24 days

18 scouts = x days

first you do the number of days times the number of scouts:

15 * 24 = 360, 360 is the number of cookies

then you can do;

360/18 = 20 days

hope this helps :)

Days taken by 18 Scout to sale cookies is 20 days

Given that;

15 Scout sales total cookies = 24 days

Find:

Days taken by 18 Scout to sale cookies

Computation:

Days taken by 18 Scout to sale cookies = [15 × 24] / Number of new scouts

Days taken by 18 Scout to sale cookies = [15 × 24] / 18

Days taken by 18 Scout to sale cookies = 360 / 18

Days taken by 18 Scout to sale cookies = 20 days

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Answer:

4x³ + 4x² + 4x

Step-by-step explanation:

Step 1: Write expression

4(x³ + x² + x)

Step 2: Distribute

4x³ + 4x² + 4x

Answer:

Top left

Step-by-step explanation:

The answer is A. or Divide 8 into 62 to get 7.

The answer is A. because if you start a long division problem you need to do these steps in order:

Divide

Multiply

Subtract

Repeat/Remainder,

So you divide first so that automatically takes off C./D.

Then figure out if 8 goes into 62 or 7 goes into 62

8 x 8=64. 64 is over 62, which means its incorrect.

7 x 8=56. It is less than 62, so it is correct.

Hope this helps.

Also its correct cause i check after the quiz

The first step to solving the division problem 6288 divided by 8 is "divide 8 into 62 to get 7". The correct answer is option A.

The correct first step in the division process, as it sets the foundation for further dividing subsequent digits and obtaining the final quotient.

Since 8 is larger than 6, it cannot be divided evenly.

Therefore, we move to the next digit of the dividend, which is 62.

The purpose of this step is to determine the digit in the quotient that corresponds to this division.

Here, dividing 8 into 62 gives us a quotient of 7, as it can be divided 7 times.

Thus, the first step to solving the division problem 6288 divided by 8 is to divide 8 into the leftmost digit of the dividend, which is 6.

This step involves determining how many times 8 can be evenly divided into 6.

Thus, the correct answer is option A.

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The complete answer is as follows:

What is the first step to solving the division problem below? 6288 divided by 8

A. Divide 8 into 62 to get 7.

B. Divide 8 into 62 to get 8.

C. Multiply 8 by 7 to get 56.

D. Multiply 8 by 8 to get 62.

Answer:

8 + 6x - 10x = 16 - 8x

This is

8 = 4x

So, x = 2 :)

Answer:

[tex]\boxed {x = 2}[/tex]

Step-by-step explanation:

Solve for the value of [tex]x[/tex]:

[tex]8 + 6x - 10x = 16 - 8x[/tex]

-Combine like terms:

[tex]8 + 6x - 10x = 16 - 8x[/tex]

[tex]8 + -4x = 16 - 8x[/tex]

-Take [tex]8x[/tex] and add it to [tex]-4x[/tex]:

[tex]8 + -4x + 8x = 16 - 8x + 8x[/tex]

[tex]8 + 4x = 16[/tex]

-Subtract [tex]8[/tex]to both sides:

[tex]8 - 8 + 4x = 16 - 8[/tex]

[tex]4x = 8[/tex]

-Divide both sides by:

[tex]\frac{4x}{4} = \frac{8}{4}[/tex]

[tex]\boxed {x = 2}[/tex]

So, the value of [tex]x[/tex] is [tex]2[/tex].

Using implicit differentiation, we found that dy/dx = [tex](18x) / (5y^4)[/tex]. When solving the equation explicitly for y, we obtained y =[tex](9x^2)^(1/5) - 2^(1/5)[/tex], and differentiating this expression gave dy/dx = [tex](18/5) * x^(-2/5) * (9x^2)^(1/5)[/tex].

A) To find y' by implicit differentiation, we differentiate both sides of the equation with respect to x using the chain rule and product rule:

d/dx (9x^2) - d/dx (y^5) = d/dx (2)

Simplifying, we get:

18x - 5y^4 * (dy/dx) = 0

Rearranging the equation and solving for dy/dx, we have:

dy/dx = (18x) / (5y^4)

B) To solve the equation explicitly for y, we isolate y:

9x^2 - y^5 = 2

9x^2 = y^5 + 2

Taking the fifth root of both sides, we get:

[tex](9x^2)^(^1^/^5^) = (y^5 + 2)^(1^/^5^)y = (9x^2)^(^1^/^5^) - 2^(^1^/^5^)[/tex]

Now, we differentiate y with respect to x using the power rule:

dy/dx = [tex](1/5) * (9x^2)^(-4/5) * (18x)[/tex]

Simplifying further:

dy/dx =[tex](18/5) * x^(-2/5) * (9x^2)^(1/5)[/tex]

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By differentiating the given equation implicitly and then solving for y', we get y' = (18x) / (5y^4). Alternatively, if we first solve for y and then differentiate, we get the same expression for y'.

The given equation is [tex]9x^2 - y^5 = 2[/tex]. We will differentiate it implicitly and solve for y' for part A, and solve for y first and then differentiate to find y' for part B.

Differentiating with respect to x gives 18x - 5y'^4y = 0. Solving this equation for y', we get, [tex]y' = (18x) / (5y^4).[/tex]

First, solve the equation for y to give y = [(9x^2 −2 )]^(1/5). Differentiating this with respect to x, we find [tex]y' = 2/5*9x * [(9x^2 -2 )]^(-4/5)[/tex] which simplifies to [tex]y' = (18x) / (5y^4).[/tex]

Therefore, whether we use implicit differentiation (Part A) or solve for y and differentiate (Part B), we get the same expression for y' in terms of x.

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Answer:

18

Step-by-step explanation:

18 because -3×(-2)=6

6×3=18

Answer:

4

Step-by-step explanation:

[tex]\sqrt[3]{64}[/tex] is 4/ the cube root of 64 is 4

4x4x4

4x4=16

16x4=64

25.8064

Step-by-step explanation:

when sold is 62$

lost is 100 percentage

nyali sold 46$ lost price is 16$

The lost is _____

16×100/62=25.8064

Answer:

[tex]\huge{\sf{ 25.80 }}[/tex] %

Step-by-step explanation:

Cost price of a bicycle = $ 62

Selling price of a bicycle = $ 46

Since, CP > SP , she made a loss.

Finding loss amount

Loss amount = CP - SP = $ 62 - $ 46 = $ 16

Now finding the loss percentage :

[tex]\sf{\frac{Loss }{CP} * 100 }[/tex]

⇒[tex]\frac{16}{62} * 100[/tex] %

⇒[tex]25.80[/tex] %

Hope I helped!

Best regards!

~ TheAnimeGirl

The 5 "Ws" that are typically included in a table to articulate and evaluate the value of a work project are Why, What, Who, When, and Where.

These 5 "Ws" provide essential information about the project and help in understanding its purpose, scope, and impact.

1. Why: This addresses the motivation and justification behind the project. It explains the problem or opportunity that the project aims to address and the reasons for undertaking it. It helps stakeholders understand the significance and relevance of the project.

2. What: This describes the objectives, deliverables, and desired outcomes of the project. It outlines the specific tasks, activities, or milestones that need to be achieved to accomplish the project's goals. It provides clarity on the project's scope and helps set expectations.

3. Who: This identifies the individuals or groups involved in the project. It includes project team members, stakeholders, sponsors, and any other relevant parties. Understanding the roles and responsibilities of different stakeholders helps in effective project management and collaboration.

4. When: This defines the project timeline and milestones. It includes the start and end dates of the project, as well as any important deadlines or key dates associated with specific deliverables or activities. It helps in tracking progress and ensuring timely completion of the project.

5. Where: This specifies the project location or the context in which it is taking place. It could be a physical location, such as a specific site or office, or it could refer to a specific department or division within an organization. Understanding the project's environment helps in planning and coordinating resources effectively.

Including these 5 "Ws" in a table provides a comprehensive overview of the project, covering its purpose, scope, stakeholders, timeline, and context. It facilitates effective communication, decision-making, and evaluation of the project's value and progress.

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Answer:

The correct options are;

1) The shape maps unto itself after a rotation of 270 degrees

2) The smallest angle of rotational symmetry is 90 degrees

3) The shape maps unto itself after a rotation of 180 degrees

Step-by-step explanation:

We note that the shape of a cross which consists of two equal members (segments) bisecting each other at right angles such that when a member is placed vertically upright, the other member will be horizontal, therefore we have;

After rotation by 90 degrees, the vertical member will become horizontal and vice versa

After rotation by 180 degrees, the vertical member will become horizontal and vice versa again

Similarly, after rotation by 270  degrees, the once vertical member will become horizontal and the horizontal member will become vertical

Answer:

2,3,5 on edge

Step-by-step explanation:

Took test

Answer:

355

Step-by-step explanation:

We have the sequence:

12, 19, 26, 33...

And we want to find the 50th term.

First, notice that this is an arithmetic sequence. This is because each subsequent term is 7 more than the previous term. So, this is increasing linearly.

Therefore, we can write an explicit formula for our sequence. The standard form for the explicit formula for an arithmetic sequence is:

[tex]x_n=a+d(n-1)[/tex]

Where a is the initial term, d is the common difference, and n is the nth term.

We can see from our sequence that our initial term a is 12.

We also know that d is +7 because each term is 7 more than the previous term.

So, substitute 12 for a and 7 for d. This yields:

[tex]x_n=12+7(n-1)[/tex]

To find the 50th term, let's substitute 50 for n:

[tex]x_{50}=12+7(50-1)[/tex]

Evaluate. Subtract within the parentheses:

[tex]x_{50}=12+7(49)[/tex]

Multiply:

[tex]x_{50}=12+343[/tex]

Add:

[tex]x_{50}=355[/tex]

So, the 50th term is 355.

And we're done!

Answer:

The pattern goes by adding 7 to the previous number to get the result.

12+7 = 19

19+7 = 26

26+7 = 33

The  

Use the formula  [tex]a_{n} = a_{1}+d(n-1)[/tex]

The sequence = 7n-2

Therefore the 50th term

= 7(50)-2

= 350-2

= 348

Answer:

B 4 is the correct answer

Step-by-step explanation:

b - 12 = - 8

b = 12 - 8

b = 4

Answer:

every thing if false

Step-by-step explanation:

For the given differential equation (4 − t²)y" + 2y = 0, a series solution of the form Σant^n is considered.

The recurrence relations for the coefficients of the power series can be determined by substituting the series solution into the differential equation and equating coefficients of like powers of t. The radius of convergence of the power series can be found by applying the ratio test. The first eight terms of the series solution can be written in terms of a0 and a1.

To find the recurrence relations for the coefficients of the power series, we substitute the series solution Σant^n into the differential equation (4 − t²)y" + 2y = 0 and equate coefficients of like powers of t. This process leads to a recurrence relation that relates the coefficients an, an-1, and an-2.

To determine the radius of convergence of the power series, we can apply the ratio test. The ratio test states that if the limit of |an+1/an| as n approaches infinity is L, then the power series converges if L < 1 and diverges if L > 1. The radius of convergence can be found as the reciprocal of the limit L.

To write the first eight terms of the series solution in terms of a0 and a1, we substitute the values of n from 0 to 7 into the series solution Σant^n and express the coefficients an in terms of a0 and a1. This will give us the explicit form of the series solution up to the eighth term.

By following these steps, the recurrence relations for the coefficients, the radius of convergence, and the first eight terms of the series solution can be obtained for the given differential equation.

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Answer:

d)

Step-by-step explanation:

So we have an equation for the sales based on the year.

Sales are y and the year is x, we can therefore plug in x into the equation (2008) and extrapolate what the sales are in millions.

y=7.36(2008)- 14 354.33= 424.55 million

To write this in numerical form we times it by one million (1 000 000)

424.45 x 1 000 000= 424 550 000

Given :

Natalie is going mountain biking. She can buy a bike for $250 or she can rent a bike for $30 an hour.

In both cases, she must also rent a helmet for $5 an hour.

To Find :

Which inequality shows the number of hours Natalie must bike for the cost of buying a bike to be less than renting a bike.

Solution :

Let, after t hours total money required is ( if she rent bike ).

T = 30t.

Money required to purchase bike , M = $250.

For cost of buying a bike to be less than renting a bike :

[tex]30t>250\\\\t > \dfrac{25}{3}\ hours\\\\t>8\dfrac{1}{3}\ hours\\\\t>8\ hours \ 20 \ minutes[/tex]

Hence, this is the required solution.

Answer:

x = -8

Step-by-step explanation:

x- (-10) = 2

Subtracting a negative is like adding

x+10 =2

Subtract 10 from each side

x+10-10 = 2-10

x = -8

Answer:

multiply both sides by 3 and do not reverse the inequality symbol

Step-by-step explanation:

Given

[tex]\frac{1}{3}[/tex] m < - 21 ( isolate m by multiplying both sides by 3 )

m < - 63

Multiplication both sides by 3 but not reversing the inequality sign to isolate the variable

Please find the given question.

isolate variable=?

[tex]\to \frac{1}{3} m < - 21[/tex] ( isolating the value of m multiplying both sides with 3 )

[tex]\to m < - 63[/tex]

Therefore, the final answer is "Tyson aims to fix the inequality [tex]\frac{1}{3} m < - 21[/tex]multiplication both sides by 3 but not reversing the inequality sign to isolate the variable".

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Answer:

If he plans to get 5 cans of soup, then deal a would be the best, because you save $1.50.

Answer:

1) C

2) C

Step-by-step explanation:

Question 1)

We want a parabola that has the vertex (-8, -7) and also passes through the point (-7, -4).

So, we can use the vertex form. Remember that the vertex form is:

[tex]y=a(x-h)^2+k[/tex]

Where a is our leading co-efficient and (h, k) is our vertex.

We know that our vertex is (-8, -7). So, substitute this into the equation:

[tex]y=a(x-(-8))^2+(-7)[/tex]

Simplify:

[tex]y=a(x+8)^2-7[/tex]

Now, we need to determine the value of our a. To do so, we can use the point the problem had given us. We know that the graph passes through (-7, -4).

So, when x is -7, y is -4. Substitute -7 for x and -4 for y:

[tex](-4)=a((-7)+8)^2-7[/tex]

Solve for a. Add within the parentheses:

[tex]-4=a(1)^2-7[/tex]

Square:

[tex]-4=a-7[/tex]

Add 7 to both sides. Therefore, the value of a is:

[tex]a=3[/tex]

So, our entire equation in vertex form is:

[tex]y=3(x+8)^2-7[/tex]

Our answer is C.

Question 2)

We are given a graph and are asked to find the equation of the graph.

Again, let's use the vertex form. From the graph, we can see that the vertex is at (-2, 2). Let's substitute this into our vertex equation:

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

Simplify:

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

Again, we need to find the value of a.

Notice that the graph crosses the point (-1, 5).

So, let's substitute -1 for x and 5 for y. This yields:

[tex]5=a((-1)+2)^2+2[/tex]

Solve for a. Add within the parentheses.

[tex]5=a(1)^2+2[/tex]

Square:

[tex]5=a+2[/tex]

Subtract 2 from both sides. So, the value of a is:

[tex]a=3[/tex]

Therefore, our entire equation is:

[tex]y=3(x+2)^2-2[/tex]

Our answer is C.

And we're done!

The period of the voltage signal V(t) = 10 sin(t) is 2π because the sine function has a natural period of 2π and the coefficient of t does not affect the period in this case.

To find the period T of the voltage signal V(t) = 10 sin(t), we can use the properties of the sine function.

The sine function has a period of 2π, which means it repeats itself every 2π units. In the given equation V(t) = 10 sin(t), the coefficient of t is 1, which means the period is affected by the coefficient.

In this case, the voltage function has a coefficient of 1, so the period T can be found by equating 2π to the coefficient multiplied by the period:

2π = 1 * T

Simplifying the equation, we have:

T = 2π

Therefore, the period T of the voltage signal is 2π.

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Complete question

The voltage in an electrical circuit varies with time according to the formula V(t) = 10 sin(t) for t in the interval [0,T]. The numerical value of the mean voltage in the circuit is 6.3662. What is the period T of the voltage signal?

Answer:

11k - 11 = 7k - 7y

Step-by-step explanation:

multiply 11 to the k and 1 and multiply 7 to k and y

Answer:

K= 2y/9

Step-by-step explanation:

11k-11=7k-7y

18k-11= -7y

18k-11+11= -7y+11

18k=4y

18k/18=4y/18

k= 2y/9

Answer:

f(5) = 4

Step-by-step explanation:

f(5) is equal to x = 5.

When x = 5, y = 4.

Therefore, f(5) = 4.

Answer:

8.1 s=8.1 it could be 8 because it is based on shoe size

Step-by-step explanation:

1.7f - 7.2

1.7(9) - 7.2

15.3 - 7.2

8.1

Answer:

11

Step-by-step explanation:

Answer:

11

Step-by-step explanation:

4+11+ (-4)

Answer:

You have to find the mean of all of the numbers.

Step-by-step explanation:

You have to add 98, 82, 89, and 94 together and then divide it by 90 to find your answer.

Hope this helped