the selections are

1. Yes/No
2.Negative/Positive
3.Negative/Positive

Answer: 9.66666667

Step-by-step explanation:

To find the number of days it would take to build a similar house, we would need to create a proportion.

Workers: 27:9

Days: 29:?

Let's simplify.

Workers: 3:1

Days: 29:?

Now, we divide 29 by 3 to see how many days it would take to build a similar house.

29/3=9.666666667 (9.6 repeating)

So, your answer would be 9.6

Hope this helps!

The y-intercept of the function is (0, c)

The coefficients b determine the horizontal shift of the parabola compared to the parent function

If a is negative, the parabola opens downward

The y-intercept of the function is (0, c).

This means that when x = 0, the y-value is equal to c.

The constant term c represents the y-coordinate of the point where the parabola intersects the y-axis.

The coefficient b determines the horizontal shift of the parabola compared to the parent function.

The value of b affects the position of the vertex and determines if the parabola is shifted to the left or right.

A positive value of b shifts the parabola to the left, while a negative value of b shifts it to the right.

If a is negative, the parabola opens downward.

The coefficient a determines the shape of the parabola.

If a is positive, the parabola opens upward, and if a is negative, the parabola opens downward. The sign of a determines the direction in which the parabola faces.

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Answer: \(2(3x+5)=3x-2\)  , required equation.

Step-by-step explanation:

As per given we have,

First number = \(\dfrac13\) of second number.    (i)

Second number = Third number - 5   (ii)

2 (third number)= Second number - 5   (iii)

Put  x= first number in (i).

so, \(x=\dfrac13\) of second number.

⇒ second number =\(3\times x=3x\)

From (ii)

\(3x=\) Third number - 5

⇒ Third number =\(3x+5\)

From (iii)

\(2(3x+5)=3x-2\)  , required equation.

Answer:

x = 2

Step-by-step explanation:

the area (A) of a rectangle is calculated as

A = length × breadth

given the rectangles have equal areas then equating the two areas gives

4x × 9 = 4(6x + 6) , that is

36x = 24x + 24 ( subtract 24x from both sides )

12x = 24 ( divide both sides by 12 )

x = 2

(a) There are 10 units must be sold to maximize profit.

(b) The maximum profit is 480.

what is profit?

A profit is an income that is given to the owner in an efficient market production process in accounting. The owner's primary interest in the income-formation process of market production is profit, which is a measure of profitability. Different profit metrics are frequently employed.

Given:

A company sales x units of a product, its profits P can be determined

using the profit function P(x) = -2x² + 40x + 280       ..(1)

We have to find the maximum profit.

Differentiate equation (1) w.r.t x

     P'(x) = -4x +40            ..(2)

-4x + 40 = 0

        4x = 40

          x = 10

Again differentiate equation (2) w.r.t x

P''(x) = -4 which is negative.

Hence, there are 10 units must be sold to maximize profit.

Now, to find the maximum profit.

Plug x = 10 in equation (1)

P(10) = -2(10)^2 + 40(10) + 280

        = -200 + 400 + 280

P(10) = 480

Hence, the maximum profit is 480.

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Answer:

What is the smallest angle of rotational symmetry for the regular octagon?

°

Step-by-step explanation:

Answer:

If this is a true or false thing, then it's true.

Step-by-step explanation:

You multiply the scale factor by the points of the pre-image, so if the scale factor is between 0 and 1, the pre-image will shrink.

perimeter of a parallelogram

= 2(l + b)

= 2(8 inches + 6 inches)

= 2(14 inches)

= 28 inches

Step-by-step explanation:

Answer:

Radius of cylinder = 4.5 inch

Circumference of Base = 9π inch

Area of base = 20.25π

Step-by-step explanation:

Given:

Diameter of cylinder = 9 inch

Height of cylinder = 22 inch

Find:

Radius of cylinder

Circumference of Base

Area of base

Computation:

Radius of cylinder = Diameter of cylinder / 2

Radius of cylinder = 9 / 2

Radius of cylinder = 4.5 inch

Circumference of Base = 2πr

Circumference of Base = 2π(4.5)

Circumference of Base = 9π inch

Area of base = πr²

Area of base = π(4.5)²

Area of base = 20.25π

Answer:

Base area=5*12=60

Height is 4

Perimeter or the base is 2*(12+5)=34

Surface area is 2B+Ph=120+136=256

Answer:

Option (D)

Step-by-step explanation:

In the picture attached,

An obtuse angle triangle ABC has been given.

By applying Sine rule in the triangle,

\(\frac{\text{SinB}}{b}=\frac{\text{SinA}}{a}=\frac{\text{SinC}}{c}\)

Since, m∠A + m∠B + m∠C = 180°

45° + 110° + m∠C = 180°

m∠C = 180°- 155° = 25°

\(\frac{\text{Sin110}}{b}=\frac{\text{Sin45}}{a}=\frac{\text{Sin25}}{7}\)

\(\frac{\text{Sin110}}{b}=\frac{\text{Sin45}}{a}=0.060374\)

\(\frac{\text{Sin110}}{b}=0.060374\)

b = \(\frac{\text{Sin110}}{0.060374}\)

b = 15.56

b ≈ 15.56

\(\frac{\text{Sin45}}{a}=0.060374\)

a = \(\frac{\text{Sin45}}{0.060374}\)

a = 11.712

a = 11.71

Therefore, Option (D) will be the answer.

Answer:

6.15

Step-by-step explanation:

Answer:

1 and 2 are 8 and 3

Step-by-step explanation:

22 divided my 2 is 11

Answer:

22 divided by 2 is 11

Step-by-step explanation:

No

We know scale factor(k)=y/x

Calculate units as 1 and find k

For left side

\(\\ \sf\longmapsto k=\dfrac{5}{3}\)

\(\\ \sf\longmapsto k=\dfrac{4}{4}=1\)

Hence its not a copy

9514 1404 393

Answer:

  193.5 square units

Step-by-step explanation:

The area formula for this situation is ...

  A = 1/2Pa

where P is the perimeter of the regular polygon, and 'a' is its apothem. For a pentagon, the perimeter is 5 times the side length, so the area is ...

  A = (1/2)(5×10.6)(7.3) = 193.45

To the nearest tenth, the area is 193.5 square units.

The total value of the furniture sold by Joyce last week is A = $ 6,733.33

Given data ,

Let's call the value of the furniture Joyce sold "x".

She receives 10% commission on the first $1,200 of sales, which is $120:

Commission on first $1,200 = 0.1 * 1200 = 120

The remaining sales that she earns commission on is the difference between the total value of the furniture sold and the first $1,200:

Remaining sales = x - 1200

She earns 15% commission on the remaining sales, which is 0.15 times the remaining sales:

Commission on remaining sales = 0.15 * (x - 1200)

Her total earnings from commission last week was $950. So we can write an equation:

Commission on first $1,200 + Commission on remaining sales = $950

Substituting the expressions we found for the two commissions, we get:

120 + 0.15(x - 1200) = 950

120 + 0.15x - 180 = 950

On simplifying the equation , we get

0.15x - 60 = 950

0.15x = 1010

x = 6,733.33

Hence , the value of the furniture Joyce sold last week was $6,733.33

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a. The value of the mean is µ = 15

The value of the standard deviation is 2.74

b. Values of 9.52 girls or greater are significantly low.

Values of 20.48 girls or greater are significantly high

c.  The result of 25 girls is significantly high because it is greater than 20.48.

a. The mean for the number of girls in a group of 30 births is:

a. µ = np

= 30(0.5)

The value of the mean is µ  = 15

The standard deviation is:

a. σ = √(np(1-p))

= √(30(0.5)(0.5))

The value of the standard deviation = 2.74 (rounded to two decimal places)

b. Using the range rule of thumb, we can say that significantly low results are those that are less than 15 - 2.74(2) = 9.52, and significantly high results are those that are greater than 15 + 2.74(2) = 20.48.

c. The result of 25 girls is significantly high because it is greater than 20.48. This suggests that the method may be effective in increasing the likelihood of having a girl.

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Using compound interest formula, her balance after retirement is $430797.77

To calculate the balance of Marissa's retirement account after 30 years, we need to determine how much her savings account and index fund will be worth after 30 years, taking into account the interest earned and her monthly contributions.

First, we'll calculate the balance of her savings account:

Initial deposit: $2000

Interest rate: 1.5%

Monthly contribution: $150

Number of months: 30 years * 12 months/year = 360 months

Using the compound interest formula, the balance of her savings account after 30 years will be:

2000*(1+0.015/12)^360 + 150*(((1+0.015/12)^360-1)/(0.015/12))

A = $71280.33

Next, we'll calculate the balance of her index fund:

Initial deposit: $1000

Interest rate: 6.8%

Monthly contribution: $300

Number of months: 30 years * 12 months/year = 360 months

Using the compound interest formula, the balance of her index fund after 30 years will be:

A = 1000*(1+0.068/12)^360 + 300*(((1+0.068/12)^360-1)/(0.068/12))

A = $359517.44

Then we can add the balance of both the savings account and the stock market to get the total balance of Marissa's retirement account.

Her balance = $71280.33 + $359517.44 = $430797.77

Please note that the above answer is an estimation, in reality there are other factors such as taxes, inflation, fees, and market conditions that should be considered in a real-world scenario.

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The experimental probability of the next balloon sold being green is 4/15.

Probability is a crucial concept in the field of mathematics that is used to measure the likelihood of an event happening.

According to the information given, the number of green balloons sold is 20, and the total number of balloons sold is the sum of all the colors, which is:

20 + 17 + 12 + 19 + 7 = 75

Now we can use these numbers to calculate the experimental probability of a green balloon being sold:

Experimental probability of a green balloon being sold = Number of green balloons sold / Total number of balloons sold

Experimental probability of a green balloon being sold = 20 / 75

Experimental probability of a green balloon being sold = 4/15

This means that if we randomly select a balloon from the store, the likelihood of it being green is 4 out of 15 or approximately 0.27 or 27%.

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Answer:

4/15

Step-by-step explanation:

Answer:

6 days

Step-by-step explanation:

If you like my answer than please mark me brainliest thanks

Answer:6 days

Step-by-step explanation:

because it means 5 men painted 1 house in 1.5days(3:2=1,5), so for 5 men to paint 8 houses they will need 12 days (1.5x8=12) divide 12 in half because there will be twice as much men(10) and you get 6 days

Jessica would have to drive 20 miles for the cost to rent a moving truck for one day to be the same at Rentals Plus and Speedy Move.

Let's assume the number of miles driven is represented by 'm'. The cost of renting a moving truck for one day at Rentals Plus can be calculated using the equation:

Cost at Rentals Plus = $5.24 + $4.46 * m

Similarly, the cost of renting a moving truck for one day at Speedy Move can be calculated using the equation:

Cost at Speedy Move = $85.24 + $0.46 * m

To find the number of miles that makes the costs equal, we can set up the equation:

$5.24 + $4.46 * m = $85.24 + $0.46 * m

By rearranging the equation, we can solve for 'm':

$4.46 * m - $0.46 * m = $85.24 - $5.24

$4 * m = $80

m = $80 / $4

m = 20

Therefore, Jessica would have to drive 20 miles for the cost to rent a moving truck for one day to be the same at Rentals Plus and Speedy Move.

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Answer:

cos

Step-by-step explanation:

take 31 degree as reference angle

using cos rule

cos 31=adjacent/hypotenuse

0.85=14/x

x=14/0.85

x=16.47

x=16.5

The smallest number of tiles Quintin will need in order to tile  his floor is 20

The given parameters;

To find:

Among the three different shapes available, total area of one is calculated as;

\(A_{one \ square \ type} = 5 \times 2000 \ cm^2 = 10,000 \ cm^2\)

Area of the floor is calculated as;

\(A_{floor} = 1000 \ cm \times 600 \ cm = 600,000 \ cm^2\)

The maximum number tiles needed (this will be possible if only one shape type is used)

\(maximum \ number= \frac{Area \ of \ floor}{total \ area \ of \ one \ shape \ type} \\\\maximum \ number= \frac{600,000 \ cm^2}{10,000 \ cm^2} \\\\maximum \ number= 60\)

When all the three different shape types are used we can get the smallest number of tiles needed.

The minimum or smallest number of tiles needed (this will be possible if all the 3 different shapes are used)

\(3 \times \ smallest \ number = 60\\\\smallest \ number = \frac{60}{3} \\\\smallest \ number = 20\)

Thus, the smallest number of tiles Quintin will need in order to tile  his floor is 20

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Answer:

-------------------------------------------

Let's simplify left sides of each statement and compare with right sides:

(a) The amplitude of the function is 2.

(b) The amplitude of the function is 3.

Amplitude is interval between the resting position and the maximum migration of the wave.

Formula for amplitude of the function is:

y = A sin (ωt + Ф) or y = A cos (ωt + Ф), where A represent the amplitude.

Given:

(a) y = 2 cos [3(Ф + 45)]

Formula for amplitude is:

y = A cos (ωt + Ф)

(b) y = 3 sin [2(Ф - 90)]

Formula for amplitude is

y = A sin (ωt + Ф)

After compare amplitude with equation than we get amplitudes are 2 and 3.

Therefore, the amplitude of the following function are 2 and 3 respectively.

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The statement that correctly compares -9 and 2 is A. -9 < 2 because 9 is to the left of 2 on a number line.

In arithmetic, a number line is a depiction of a graduated straight line which functions as a graphic representation of real numbers. It is presumed that every number line point and every real number correspond to one another.

Horizontal straight lines termed number lines have integers along them spaced equally apart. All of the numbers in a series can be shown on a number line. This line extends indefinitely at both ends.

In this case, -9 is on the left of a number line since it's negative. In conclusion, the correct option is A

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Answer:

1/11

There are a total of 3+6+2=11 packets. Of these, there is 1 card that is advertising a South American trip and has an odd number, so the answer is 1/11.

Step-by-step explanation:

Answer:

1/11

Step-by-step explanation:

Answer and Step-by-step explanation:

To find out how many more yards of red fabric Reuben used, we need to subtract the amount of yellow fabric from the amount of red fabric. Since the two fractions have different denominators, we need to find a common denominator before subtracting them. The least common multiple of 8 and 4 is 8, so we can rewrite both fractions with a denominator of 8:

7/8 - 1/4 = 7/8 - (1/4) * (2/2) = 7/8 - 2/8 = (7 - 2)/8 = 5/8

So, Reuben used 5/8 yards more red fabric than yellow fabric.

Answer:

AN*(B\C)=(ANB)\C=>ANB/C=ANB/C

Answer:

It's true but I don't know if my proof is technical enough for you.

Step-by-step explanation:

Multiplication and division of numbers can happen in any order.