A 16,000 cubic inch refrigerator has a square base. The refrigerator is 40 inches tall. Determine the area of the base of the refrigerator.

Answer:

x³-3x²-14x-24

Step-by-step explanation:

(x-6)(x^2+3x+4)

first multiply x by x^2+3x+4

x×x²=x³

x×3x=3x²

x*4=4x               add

x³+3x²+4x ( first part)

multiply -6 by x²+3x+4

-6x²-18x-24

x³+3x²+4x -6x²-18x-24  ( simplify)

x³-3x²-14x-24

Answer: 5/8

Step-by-step explanation:

Points, lines and planes can be used in different fields like Navigation, Architecture, Art, Engineering, etc.

What are points, lines, and planes?

Point: A point is a basic geometric object that represents a specific location in space.

Line: A line is a straight path that extends infinitely in both directions. It is made up of an infinite number of points that are all collinear, or lie on the same straight path.

Plane: A plane is a two-dimensional flat surface that extends infinitely in all directions.

Navigation: Points and lines are essential for navigation, both on land and in the air. For example, on a map, points represent specific locations, while lines represent roads, highways, and other paths that can be taken to get from one point to another.

Architecture and Design: Points, lines, and planes are critical for architecture and design. Architects use points to specify the locations of walls, columns, and other structural elements, while lines are used to create the edges of rooms and buildings. Planes are used to define the surfaces of walls, floors, and ceilings.

Art: Artists often use points, lines, and planes to create visual effects in their work. Points can be used to create texture, while lines can be used to create movement and depth. Planes can be used to create shapes and form.

Engineering: Points, lines, and planes are fundamental to engineering, which involves the design and construction of structures and machines. Engineers use points to specify the locations of components, while lines are used to create the edges of parts. Planes are used to define the surfaces of structures, such as the wings of an airplane.

Hence, points, lines and planes can be used in different fields like Navigation, Architecture, Art, Engineering, etc.

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Step-by-step explanation:

l = length

w = width

l = 3w

perimeter p = 2l + 2w = 56

using the identity of the first equation

p = 2(3w) + 2w = 56

6w + 2w = 56

8w = 56

w = 7 cm

l = 3w = 3×7 = 21 cm

so, the area is

l×w = 21×7 = 147 cm²

Given:

Number of cans he bought = 36

mean = 11.29

standard deviation = 0.21

The confidence interval (C.I) can be found using the formula:

The z-score at 95% confidence level is 1.960

Substituting the given values into the formula:

Answer:

Confidence interval : (11.7214, 11.8586)

Is pepsi filling the cans with less than 12 ounces of soda?

From the confidence interval, we can be 95% certian that the population mean lies in the range (11.7214, 11.8586).

Yes, Pepsi is filling cans with less than 12 ounces of soda

Answer:

x+5·-2=6

Step-by-step explanation:

Answer:

Step-by-step explanation:

The parenthesis can cancel because the lack of anything you can do in them, so that will leave you with 7m + 3 + 7m + 6

Next step is to add like numbers, you should start by adding 7m + 7m, which would be 14m.

Next would be to add 3 + 6, which is nine.

To end this equation, simply put 14m + 9

There is no one-number answer because we do not know what m is. So the equation 14m + 9 is the final answer.

Answer:

I believe its 97°

Step-by-step explanation:

Because all the outsides are the same for the 97 already there and x

Third option, counting from the top.

Remember that we say that a limit exists, like:

\(\lim_{x \to 0} f(x) = a\)

if and only if:

\(\lim_{x \to 0_-} f(x) = a\)

and

\(\lim_{x \to 0_+} f(x) = a\)

Where the above two limits say that when we approach zero from the negative side (the first one) and from the positive side (the second one), we must get the same value.

Also, remember that the limit is an approximation through near points

Then, regardless the fact that f(0) = -2, we can see that as x approaches 0 from both sides, the value of the function approaches 4.

Thus, we can conclude that the limit of f(x) when x tends to zero is equal to 4.

The correct option is the third one.

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The correct answer is option B : False. Using a stratified sample guarantees that members of each group within a population will be sampled. and true statement is "Using a random sample guarantees that members of each group within a population have an equal chance of being sampled".

False. Using a systematic sample does not guarantee that members of each group within a population will be sampled. A systematic sample is a type of probability sampling in which a random starting point is chosen and then every nth item is selected from the population. This can lead to bias if the population contains patterns or cycles.

A true statement would be: "Using a random sample guarantees that members of each group within a population have an equal chance of being sampled."

The given statement is False

The correct form is given below-

Using a random sample guarantees that members of each group within a population have an equal chance of being sampled.

Thus, The correct answer is option B : False. Using a stratified sample guarantees that members of each group within a population will be sampled. and true statement is "Using a random sample guarantees that members of each group within a population have an equal chance of being sampled".

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Answer:

1.75

Step-by-step explanation:

Answer:

£13.5.

Step-by-step explanation:

Let the share of Brendon, Asha and Julie is 3x, 2x and 6x respectively.

The total amount of money that Asha and Julie recieve is £36

i.e.

2x+6x = 36

8x = 36

x = (36/8)

Amount recieved by Brendon,

\(B=3\times \dfrac{36}{8}\\\\=\$13.5\)

So, the amount of money that brendon receives is £13.5.

The sales price of the item is $48.

The sale price of an item that costs 60% of its original price which is $80 is $48. The original price of the item is $80, and it costs 60% of the original price. The amount of money we'll be spending is calculated as follows: 60 per cent of $80 (60/100) × $80= $48 Therefore, the sales price is $48. The percentage discount for the item is calculated as follows:$80 - $48 = $32

$32 is the amount of money saved due to the discount, which is then divided by the original price, $32/$80 = 0.4 or 40%. Thus, there was a 40% discount on the original price.

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Answer:

0.125 in decimal 12.5 in percent

Step-by-step explanation:

in percent it will be 12.5

a. y^ Estimated y-intercept: This refers to the value of y when x is equal to zero. In this case, the estimated y-intercept is 188.

b. -126 Estimated slope: This refers to the coefficient of x in the regression equation, which indicates the change in y for each unit increase in x. In this case, the estimated slope is -126.

c. xβ1: This refers to the independent variable (x) multiplied by its coefficient (β1), which is the estimated slope.

d. y^ Estimated value of the dependent variable: This refers to the predicted value of y based on the regression equation and a given value of x.

e. β0: This refers to the coefficient of the intercept term in the regression equation, which represents the value of y when x is equal to zero. In this case, the estimated value of β0 is 188, which is the estimated y-intercept.

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The expression that could represent how much flour Lena uses for baking cookies and bread is 2c + 2 1/2b + 1/2.

What is an algebraic expression?

An algebraic expression is a combination of terms by the operations such as addition, subtraction, multiplication, division, etc.

For example 2x + 4, 58m + 2n, 100p + 3q + r.

According to the given question:

(Question with options is attached below)

Let c be the number of cookie batches and b be the number of bread loaves Lena makes.

Lena makes 2 cups of flour for a batch of cookies

∴ Flour used to make cookie batches = 2c

She uses 2 1/2 cups for loaf of bread

∴ Flour used for bread loaves = 2 1/2 b

Ans 1/2 cup flour is used for dusting workbench

Hence expression for the amount of flour used is sum of flour used for making batches of cookies, bread loaves and for dusting.

The expression is 2c + 2 1/2b + 1/2

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The values of θ and the data, we get:

SSR(θ) = (0.5 - 19θ + θ9 - θ9.5)^2 = 310.25

σ^2 = SSR(θ)/(n - 2) = 155.125

Therefore, the estimate of σ^2 is 155.125.

To find the conditional least squares estimate of θ for an IMA(1,1) model without a constant term, we need to follow these steps:

Step 1: Find the first difference of the data Y.

ΔY1 = Y2 - Y1 = 9 - (-10) = 19

ΔY2 = Y3 - Y2 = 9.5 - 9 = 0.5

Step 2: Find the conditional least squares estimate of θ.

The IMA(1,1) model is given by:

ΔYt = θ(εt-1 - εt)

where εt is a white noise error term.

We can write this model in the following form:

ΔYt = θεt-1 - θεt + ut

where ut = ΔYt - θεt-1 is the new error term.

We can estimate θ by minimizing the sum of squared residuals:

SSR(θ) = Σut^2 = Σ(ΔYt - θεt-1 + θεt)^2

Taking the derivative of SSR(θ) with respect to θ and setting it equal to zero, we get:

Σ(ΔYt - θεt-1 + θεt)(εt-1 - εt) = 0

Expanding this expression, we get:

Σ(ΔYtεt-1 - θεt-1^2 + θεtεt-1 - ΔYtεt + θεt^2 - θεtεt-1) = 0

Simplifying, we get:

θΣεtεt-1 = Σ(ΔYt - ΔYt-1)εt-1 - Σ(ΔYt - ΔYt-1)εt

Since εt is a white noise error term, we have εtεt-1 = 0 for t ≠ t-1. Therefore, we can simplify further:

θεt-1 = ΔYt - ΔYt-1 - θεt

Solving for θ, we get:

θ = (ΔYt - ΔYt-1)/(εt-1 - εt)

Using the given data, we get:

θ = (0.5 - 19)/(9 - 9.5) = 19.5

Therefore, the conditional least squares estimate of θ is 19.5.

Step 3: Estimate σ^2.

We can estimate σ^2 as follows:

σ^2 = SSR(θ)/(n - 2)

where n is the sample size (in this case, n = 3).

Using the values of θ and the data, we get:

SSR(θ) = (0.5 - 19θ + θ9 - θ9.5)^2 = 310.25

σ^2 = SSR(θ)/(n - 2) = 155.125

Therefore, the estimate of σ^2 is 155.125.

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Parallel lines are two or more lines in a plane that never intersect.

A transversal is a line that intersects two or more lines.

Algebra is the branch of mathematics that studies the rules of operations and relations and the constructions and concepts arising from them.

When two parallel lines are intersected by a transversal, various geometric relationships between the angles of the transversal and the lines can be observed. This leads to algebraic equations that can be used to describe and solve problems related to these relationships. For example, the angles of the transversal that form opposite angles with the parallel lines can be used to calculate the measure of the angles formed by the parallel lines themselves.

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Answer:

5.2

Step-by-step explanation:

a^2+b^2=c^2

Where c is the length of hypotenuse

and a, b are lengths of the legs.

Put in 6 for c,

Put in 3 for a and you get 9+b^2=36

Subtract 9 from both sides and get b^2= 27

Then find the square root of both sides to get b, so the answer is the square root of 27.

The cloest square root is 5, then apporixmate the tenths value and see if they work.

Answer: 5.2

Answer:

square root of 27, 5.2

Step-by-step explanation:

(I know I'm late but-)

3^2+b^2=6^2

9+b^2=36

b^2=27

Answer:

r=2

Step-by-step explanation:

The amount of sugar is always 2 times the amount of lemon juice.

Answer:

Step-by-step explanation:

if its 3 - 4/7 then it = 2 3/7

if its 3*-4/7 then it = -12/7 = - 1 5/7

Answer:

raoul is 16 and estaban is 22

Answer:

y=3/5x-26/5

Step-by-step explanation:

y=mx+b

m=3/5

y=3/5x+b

2=x, -4=y

-4=3/5(2)+b

-4-6/5=b

b=-26/5

An isosceles triangle is one with two equal-length sides. The value of l is 8 ft.

An isosceles triangle is one with two equal-length sides. It is sometimes stated as having exactly two equal-length sides, and sometimes as having at least two equal-length sides, with the latter form containing the equilateral triangle as a particular case.

In the given image it can be observed except 140° angle, the other two angles are congruent to each other which means the triangle is an isosceles triangle.

As per the base angle theorem in an isosceles triangle the sides opposite to the congruent triangle are equal therefore, the length of side l will be 8 ft as well.

Hence, the value of l is 8 ft.

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Answer:

Base = 10

height = 6

Area = 1/2

The correct options that could be an example of a function with a domain (-∞0,00) and a range (-∞,4) are given below.Option A. V = -(0.25)x - 4 Option B. V = − (0.25)x+4

A function can be defined as a special relation where each input has exactly one output. The set of values that a function takes as input is known as the domain of the function. The set of all output values that are obtained by evaluating a function is known as the range of the function.

From the given options, only option A and option B are the functions that satisfy the condition.Both of the options are linear equations and graph of linear equation is always a straight line. By solving both of the given options, we will get the range as (-∞, 4) and domain as (-∞, 0).Hence, the correct options that could be an example of a function with a domain (-∞0,00) and a range (-∞,4) are option A and option B.

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If the tiles cost $1.69 a square foot, the total cost to the tiles of the kitchen is $273.28.

According to the question:

Let the width be = x

Then, the length of the rectangular kitchen is L = 3x - 9

The perimeter is = 6x

It is given that the cost of the tile = $1.69 a square foot.

Then the total costs of tiles the kitchen is :

The Perimeter of the rectangle = 2(L + b)

The Perimeter of the rectangle = 2(3x - 9 + x)

The Perimeter of the rectangle = 2(4x-9)

We know that, according to the question,

the perimeter of the kitchen is six times the width = perimeter of rectangle

⇒ 6x = 8x - 18

⇒ - 2x = - 18

⇒ x = 18/2

⇒ x = 9

Thus, the width = x = 9 feet

Putting the value of x = 9

then, The length = 3x - 9 = 3(9) - 9

the length = 27 - 9

the length = 18 feet

Therefore, as we know that,

Area = Length × Width

Area = (18 × 9) feet

Area = 162 square feet.

Now,

Cost of a Tile = $1.69 per sq. ft.

Thus,

Total Cost of tile = $1.69 × 162

Total Cost of tile = $273.28

Answer:

Hello There!!

Step-by-step explanation:

You order the number on the list but they are already in order so pick the middle number but in this case there are 2,so you add 33 with 34 which equals 67.Then you divide 67 by 2 which is 33.5. Therefore,33.5 is your answer.

hope this helps,have a great day!!

~Pinky~

Answer:

33.5

Step-by-step explanation:

31,32,33,34,36,38

33+34=67

67/2= 33.5

Answer:

the total cost is $86.40

Answer:

278

Step-by-step explanation:

well you have to subtract 981 by 703 to get the other number because you know that the sum is 981. you already know one number so you have to subtract the number from the sum to get the other.