Please answer the question in the picture Thxx

Answer:

The total cost of adding wallpaper to the room is $487.20

Step-by-step explanation:

Basically, how I got the answer is:

1. The shorter sides of the rectangle are 12 and the longer sides are 14.

2. The formula for a rectangle is A = l x w. The "l" means length and the "w" means width. 14 is the length and 12 is the width. So you should now have A = 14 x 12. If you multiply 14 by 12, you will get 168.

3. Since 1 square foot of carpet costs $2.90, then you should multiply by 168, which will give you $487.20 and that's pretty much it.

Hope this helps! :)

The total cost of adding wallpaper to the room by Mr. Hawkins is $487.20.

Area of a two dimensional shape is the total region which is bounded by the object's shape.

Given that the shape of the wall that Mr. Hawkins covering with wallpaper is rectangular.

The formula to find the area of a rectangular shape is,

Area of a rectangular shape = Length × Width

Given that,

Length of the wall = 14 feet

Width of the wall = 12 feet

Substituting the given measurements to the formula, we get,

Area of the wall = 14 × 12 = 168 feet²

Also, given that,

Cost for each square foot of wall = $2.90

Cost for 168 square feet = $2.90 × 168

                                        = $487.20

Hence the total cost for adding wallpaper to the room is $487.20.

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Answer:

3 gallons

Step-by-step explanation:

1/4 =1/12

1=1/3

3=1

Answer:it 12

Step-by-step explanation:

Answer:

  (b)  3 units

Step-by-step explanation:

You want to know the length of OB' when OB = 3/4 and ∆ABC is dilated about point O by a factor of 4.

The dilation factor multiplies every length.

If OB is 3/4, then OB' is 4(3/4) = 3.

The length of OB' is 3 units.

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Answer:

Step-by-step explanation:

d=4

e=2

f=6

According to census the total number of male and female was 88,51,84,692, if number of male was 45,40,34,570 the number of female population is 43,11,50,122.

To find the wide variety of girl population, we will subtract the quantity of male population from the full population.

Total population = 88,51,84,692

Number of male = 45,40,34,570

Number of female = Total population - Number of male

= 88,51,84,692 - 45,40,34,570

= 43,11,50,122

Therefore, the number of female population is 43,11,50,122.

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Answer:

\(V(x) = 66.02\ \text{in}^3 \ \vert \ _x_=_1_._9_6\)

Step-by-step explanation:

The volume of a rectangular prism is found using the formula: V = lwh.

In order to write a formula in terms of the variable x, we need to write expressions for the length, width, and height of the rectangle.

We can say the length is the bottom of the base of the prism. To find this value, we can subtract x and x from 15 and divide this by 2, since there are two equal rectangles (base and lid).

We can say the width is the side of the base of the prism. To find this value, we can subtract 2x from 10.

The height of the prism can be x, which is the labeled length of the rectangle next to the base and lid.

Now we are able to write a formula for volume in terms of x.

The domain of the volume is where x > 0, 2x < 10, and 2x < 15.

This is because our expressions for length (\(\frac{15-2x}{2}\)), width (10-2x), and height (x) cannot go below 0, because you cannot have a negative value for measurement - realistically.

Therefore, if we take into account all of these restrictions on x, the domain is where 0 < x < 5.

x cannot be > 5 since that would not satisfy 2x < 10.

The domain of V for this problem situation is D: (0, 5).

In order to find the maximum volume of the rectangular prism using our formula we derived, we can use the idea of optimization in calculus.

Start by taking the derivative of V(x).

Set the derivative equal to 0. This gives us the critical point(s) in order to determine the extreme values of the function, aka where the max and min occur.

Solve for x by using the quadratic formula.

Input this into your calculator and you should get:

We are going to use x = 1.96 since 6.37 is NOT in the domain of V(x).

Now, since this value of x is going to give the maximum volume of this rectangular prism, or cardboard box, we can plug it back into the V(x) equation for volume to determine the maximum volume of the box.

The maximum volume of the cardboard box is 66.02 in³ and the value of x that gives this is 1.96.

The slope of the line is 7/9

It is important to note that the equation of a line is represented as;

y = mx + c

Where;

The formula for calculating the slope of a line is expressed as;

Slope, m = y₂ - y₁/x₂ - x₁

Now, let's substitute the values into the formula from the points given we have;

Slope, m =1 -(-6)/ -3 - (-6)

expand the bracket

Slope, m = 1 + 6/ 3 + 6

add the values

Slope, m = 7/9

Hence, the value is 7/9

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The statement which is true about the thrown ball is that A. The ball attains a maximum height of 70 meters at 4 seconds

This refers to the highest vertical projectile that an object can attain when acted upon by an external force.

Given the attached diagram that shows the graph of the projectile of the ball, we can observe that its maximum height before it began to fall is 70 meters at 4 seconds based on the values on the x and y-axis.

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7

___________________

Answer:

45

Step-by-step explanation:

If 30% of the marbles are blue and 40% are green, then the remaining 30% of the marbles are red. Now we have to find 30% of 150

We do (30/100)*150 which equals 45.

Answer:

10

Step-by-step explanation:

Answer:

Options a, b, c are correct.

Step-by-step explanation:

First let's see the equation that governs the statement, which is the following:

\(r = \frac{cov (x, y)}{\sqrt{var(x) var (y)} }\)

Therefore, reading options a, b, c are correct.

Since from the formula we have the correlation coefficient of two variables x and y and here it shows us the correlation between x, y and y, x is the same.

 This means that the 0.4 correlation implies a moderate but positive relationship between the two variables.

 that is, the highest or lowest value of one variable implies a highest or lowest value of the other variable, respectively.

The product of the two linear functions is:

(fg)(x) =  8x^2 + 10x  - 3

A general linear funuction can be written as:

f(x)= a*x  +b

Let's say that our functions are:

f(x) = ax + b

g(x) = cx + d

The sum is:

(f + g)(x) = ax + b + cx + d = (a + c)x + (b + d)

(f - g)(x) = ax + b - cx - d  =(a - c)x + (b - d)

And we know that:

(f+g)(x)=-6x-2 and (f-g)(x)=-2x+4.

Then we can write:

(a + c)x + (b + d) = -6x - 2

(a - c)x + (b - d) = -2x + 4

Then we have 4 equations:

a + c = -6

b + d = -2

a  - c= -2

b - d = 4

Solving these we can get:

a = -4

c = -2

b = 1

d = -3

(you can check these values)

The two linear functions are:

f(x) = -4x + 1

g(x) = -2x - 3

The product is:

(fg)(x) = (-4x + 1)*(-2x - 3) = 8x^2 + 12x - 2x - 3

                                       = 8x^2 + 10x  - 3

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Step-by-step explanation:

10x < -40

x < -40 ÷ 10

x < -4

and that's all

The area of the circle created by the paint is given by the expression 4πt².

The area of the circle is 100π, which is approximately 314.16 in².

The circle will be at least 300 in² in 5 minutes. Yes.

To find the area of the canvas, we multiply the lengths of its sides:

Area = (3x + 5) × (2x + 1)

Expanding the expression:

Area = 6x² + 3x + 10x + 5

Combining like terms:

Area = 6x² + 13x + 5

The area of the canvas is given by the expression 6x² + 13x + 5.

Now, let's find the area of the circle created by the paint.

The area of a circle is given by the formula A = πr², where r represents the radius.

The radius is given by the spreading of paint, which is r(t) = 2t.

Substituting the value of r(t) into the formula, we have:

A[r(t)] = π(2t)²

Simplifying:

A[r(t)] = π(4t²)

A[r(t)] = 4πt²

Now, let's determine if the area of the circle will be at least 300 in² in 5 minutes.

Substitute t = 5 into the area formula:

A[r(5)] = 4π(5)²

A[r(5)] = 4π(25)

A[r(5)] = 100π

Since 314.16 in² is larger than 300 in², the circle created by the paint will be larger than 300 in² in 5 minutes.

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The stock worth now, to the nearest cent, is $58.14.

The current worth of stock = initial price of stock+increase in the price of stocks

If you bought stock last year for a price of $66, and it has gone down 13.9% since then,

Let X be the worth of stock;

66 ×  100 = (13.5% + 100%) × X

6600 = 113.5X

X = 6600/113.5

X = 58.14458

X = $58.14

Hence, The stock worth now, to the nearest cent is $58.14.

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if Jenny chooses to buy from Daikin, the monthly installment price would be approximately RM98.89, and the total installment price to be paid would be approximately RM1,779.98 (18 monthly installments * RM98.89).

Calculating the loan amount for each brand by subtracting the down payment from the cash price:

Loan amount for Daewoo = RM1,899 - RM300 = RM1,599

Loan amount for Daikin = RM1,699 - RM300 = RM1,399

Loan amount for Mitsubishi = RM1,999 - RM300 = RM1,699

Calculating the interest charge for each brand:

Interest charge for Daewoo = Loan amount for Daewoo * Interest rate = RM1,599 * 0.04 = RM63.96

Interest charge for Daikin = Loan amount for Daikin * Interest rate = RM1,399 * 0.04 = RM55.96

Interest charge for Mitsubishi = Loan amount for Mitsubishi * Interest rate = RM1,699 * 0.04 = RM67.96

To find the monthly installment price, divide the total amount (cash price + interest charge) by the number of monthly installments:

Monthly installment price for Daewoo = (Cash price of Daewoo + Interest charge for Daewoo) / Number of monthly installments = (RM1,899 + RM63.96) / 18 ≈ RM107.22

Monthly installment price for Daikin = (Cash price of Daikin + Interest charge for Daikin) / Number of monthly installments = (RM1,699 + RM55.96) / 18 ≈ RM98.89

Monthly installment price for Mitsubishi = (Cash price of Mitsubishi + Interest charge for Mitsubishi) / Number of monthly installments = (RM1,999 + RM67.96) / 18 ≈ RM116.72

Therefore, if Jenny chooses to buy from Daikin, the monthly installment price would be approximately RM98.89, and the total installment price to be paid would be approximately RM1,779.98 (18 monthly installments * RM98.89).

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Answer:

1.5

Step-by-step explanation:

The scale factor can be found by dividing the side length from triangle ABC by the corresponding side length from triangle ABC

so the scale factor would be equal to

12/8 and 9/6

9/6 = 1.5

12/8 =1.5

so we can conclude that the scale factor is 1.5

Answer:

b

Step-by-step explanation:

bc when you add the last 2 numbers (on the bottom) you get 8568 but then u have to add find the decimal places which would be 2 so it is b, 85.68

Answer:

Q1

Q2

BC is given 23 mi

Maybe AB is needed

Q3

Q4

Let the angle is x

Q5

See attached

Added point D and segments AD and DC to help with calculation

Find the length of added red segments

Now we can find the value of BC

All calculations are rounded

Answer:

The quadratic equation is in the standard form: ax^2 + bx + c = 0. To use the quadratic formula to find the solutions, we need to identify the values of a, b, and c in the equation:

a is the coefficient of the x^2 term, which is -3 in this case.

b is the coefficient of the x term, which is -5 in this case.

c is the constant term, which is 9 in this case.

Therefore, the values of a, b, and c in the quadratic equation -3x^2 - 5x + 9 = 0 are:

a = -3

b = -5

c = 9

Step-by-step explanation: 9.1 x 102 = 928.2.

Answer:

1/4

Step by step explanation:

Division only needs to take the ninth part of both which would be 9x4=36 and 9x1=9

25% percent of the females in Math town have brown eyes. To find the number of females with brown eyes, we need to subtract the number of males with brown eyes from the total number of people with brown eyes

what is percent  ?

A percent is a way of expressing a number as a fraction of 100. The symbol for percent is %, which means "per hundred".

In the given question,

Let's assume that there are 100 people in Math town.

60% of them are males, so there are 60 males and 40 females.

Out of the 60 males, 30% have brown eyes, so there are 18 males with brown eyes.

28% of the entire population have brown eyes, so there are 28 people with brown eyes.

To find the number of females with brown eyes, we need to subtract the number of males with brown eyes from the total number of people with brown eyes:

28 - 18 = 10

So, there are 10 females with brown eyes.

Out of the 40 females in Math town, what percentage have brown eyes?

10 brown-eyed females out of 40 females is:

10/40 = 0.25 or 25%

Therefore, 25% of the females in Math town have brown eyes.

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Answer:

1.56% probability that the student gets all three questions right

Step-by-step explanation:

For each question, there are only two possible outcomes. Either the student guesses the answer correctly, or he does not. The probability of the student guessing the answer of a question correctly is independent of other questions. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

In which \(C_{n,x}\) is the number of different combinations of x objects from a set of n elements, given by the following formula.

\(C_{n,x} = \frac{n!}{x!(n-x)!}\)

And p is the probability of X happening.

Each question has 4 possible answers, one of which is correct.

So \(p = \frac{1}[4} = 0.25\)

Three questions.

This means that \(n = 3\)

What is the probability that the student gets all three questions right?

This is \(P(X = 3)\)

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

\(P(X = 3) = C_{3,3}.(0.25)^{3}.(0.75)^{0} = 0.0156\)

1.56% probability that the student gets all three questions right

Answer:2 2/9

Step-by-step explanation:

3 1/3= 10/3, 10/3 x 2/3= 20/9= 2 2/9

Answer:

2.2222222

Step-by-step explanation:

Use a calculator

The expected total dollar net operating Income for next year = $70,000

1) The contribution format income statement for the game last year, and the degree of operating leverage is computed below:

Contribution format income statement for the game last year Sales (15,000 × $20) = $300,000

Variable expenses (15,000 × $6) = $90,000

Contribution margin = $210,000

Fixed expenses = $182,000Net operating income = $28,000

Degree of operating leverage = Contribution margin / Net operating income= $210,000 / $28,000= 7.5 2)

The expected percentage increase in net operating income for next year:

The expected sales in next year = 18,000

games selling price per game = $20

Therefore, Total sales revenue = 18,000 × $20 = $360,000

Variable expenses = 18,000 × $6 = $108,000

Fixed expenses = $182,000

Expected net operating income = Total sales revenue – Variable expenses – Fixed expenses

= $360,000 – $108,000 – $182,000= $70,000

The expected percentage increase in net operating income = (Expected net operating income - Last year's net operating income) / Last year's net operating income*100= ($70,000 - $28,000) / $28,000*100= 150%

The expected total dollar net operating income for next year = $70,000

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Answer:

f(x) = x³ - 4x + 6

f'(x) = 3x² - 4

a) f'(2) = 3(2²) - 4 = 12 - 4 = 8

6 = 8(2) + b

6 = 16 + b

b = -10

y = 8x - 10

b) 3x² - 4 = 0

3x² = 4, so x = ±2/√3 = ±(2/3)√3

= ±1.1547

f(-(2/3)√3) = 9.0792

f((2/3)√3) = 2.9208

c) 3x² - 4 = 8

3x² = 12

x² = 4, so x = ±2

f(-2) = (-2)³ - 4(-2) + 6 = -8 + 8 + 6 = 6

6 = -2(8) + b

6 = -16 + b

b = 22

y = 8x + 22

f(2) = 6

y = 8x - 10

The equation perpendicular to the tangent is y = -1/8x + 25/4

-The smallest slope on the curve is 2.92

The curve has the smallest slope at the point (1.15, 2.92)

The equations at tangent points are y = 8x + 16 and  y = 8x - 16

From the question, we have the following parameters that can be used in our computation:

y = x³ - 4x + 6

Differentiate

So, we have

f'(x) = 3x² - 4

The point is (2, 6)

So, we have

f'(2) = 3(2)² - 4

f'(2) = 8

The slope of the perpendicular line is

Slope = -1/8

So, we have

y = -1/8(x - 2) + 6

y = -1/8x + 25/4

We have

f'(x) = 3x² - 4

Set to 0

3x² - 4 = 0

Solve for x

x = √[4/3]

x = 1.15

So, we have

Smallest slope = (√[4/3])³ - 4(√[4/3]) + 6

Smallest slope = 2.92

So, the smallest slope is 2.92 at (1.15, 2.92)

Here, we set f'(x) to 8

3x² - 4 = 8

Solve for x

x = ±2

Calculate y at x = ±2

y = (-2)³ - 4(-2) + 6 = 6: (-2, 0)

y = (2)³ - 4(2) + 6 = 6: (2, 0)

The equations at these points are

y = 8x + 16

y = 8x - 16

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