A local flooring company is retiling your kitchen. Your kitchen is a rectangle with dimensions of 7 ft by 15 ft. You are going to use square tiles that measure 6 by 6 inches. Assuming the tiles lay completely flush with one another on the floor (no space in between) How many tiles will the flooring company need to buy?

Answer:

3

Step-by-step explanation:

15x

15

the 15 cancels out then you have

15/5 which is 3

The simplified ratio of corydoras catfishes to the total number of fish is 9:34, which is equivalent to 0.26:1 or approximately 1:3.88.

To find the ratio of corydoras catfishes to the total number of fish, we need to add up the number of corydoras catfishes to the total number of fish, and express the ratio as a simplified fraction.

The total number of fish is 7 + 12 + 4 + 11 = 34.

The ratio of corydoras catfishes to the total number of fish is 9:34.

To simplify this ratio, we can divide both sides by the greatest common factor, which is 1 in this case.

So the simplified ratio of corydoras catfishes to the total number of fish is 9:34, which is equivalent to 0.26:1 or approximately 1:3.88.

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Answer:

is that the whole problem?

Step-by-step explanation:

The sales they might anticipate if they raise the price to $40 a bottle is $1,500.

Using this formula

Anticipated sales=(Current selling price÷Increase in price)×Number of bottle sold

Let plug in the formula

Anticipated sales=($30÷$40)×2,000

Anticipated sales=$0.75×2,000

Anticipated sales=$1,500

Therefore the sales they might anticipate if they raise the price to $40 a bottle is $1,500.

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Slope of the flights from point A to point B on the curve The slope of flights from point A to point B on the curve is obtained as shown Slope = Change in vertical distance / Change in horizontal distance.

We can determine that the vertical change from point A to point B is 900 km while the horizontal change is 1200 km. In this case, the slope of flights from point A to point B on the curve is 0.75. This implies that for every 1 unit of horizontal change, there is a vertical change of 0.75 units. This may mean charging more for flights that move on a curved path than those that move on a straight path. Therefore, the slope of flights from point A to point B on the curve is:

Slope = Change in vertical distance / Change in horizontal distance

Slope = 900 / 1200

= 0.75.

This will ensure that the airline operators are able to cover their costs and make a profit. From the graph, we can determine that the vertical change from point A to point B is 900 km while the horizontal change is 1200 km. This has an economic implication for airlines that operate flights on this route. It means that there is a higher cost for flights that move from point A to point B on the curve compared to those that move on a straight line. This may mean charging more for flights that move on a curved path than those that move on a straight path. This will ensure that the airline operators are able to cover their costs and make a profit.

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We will prove by structural induction that every common divisor of m and n also divides every member of the set L.By structural induction, we have shown that every common divisor of m and n also divides every member of the set L.

• Base cases: m, n ∈ L

• Constructor cases: If j, k ∈ L, then 1. −j ∈ L 2. j + k ∈ L

Base case:

For m and n, let d be a common divisor of m and n. Since d divides both m and n, it follows that d also divides m + n and m - n (by adding and subtracting the two equations following structural induction). Therefore, d is a divisor of both m and n, as well as of j and k in the base cases of L.

Constructor case 1:

Suppose that −j ∈ L and d is a common divisor of m and n. Then, −j = −1 * j and since d is a divisor of j, it follows that d is also a divisor of −j.

Constructor case 2:

Suppose that j + k ∈ L and d is a common divisor of m and n. Then, d divides both j and k, and therefore d divides (j + k).

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The dimensions of the box that maximize the volume are x = √700 and h = 100 / √700.

To find the largest possible volume of the box, we need to optimize the dimensions of the box. Let's denote the length of each side of the square base as x and the height of the box as h.

The surface area of the box consists of the area of the square base (x^2) and the four sides of the box (4xh). Since the box has an open top, we do not consider the top surface. The total surface area is given as 2100 square centimeters, so we have:

x^2 + 4xh = 2100

To maximize the volume, we need to express the volume of the box (V) in terms of a single variable. The volume of a rectangular prism is given by V = x^2h.

We can rewrite the equation for the surface area to solve for h:

h = (2100 - x^2) / (4x)

Now we can substitute this expression for h in the volume equation:

V = x^2 * [(2100 - x^2) / (4x)]

Simplifying, we have:

V = (1/4) * (2100x - x^3)

To find the maximum volume, we need to find the critical points of this function. We take the derivative of V with respect to x and set it equal to zero:

dV/dx = 2100/4 - (3/4)x^2 = 0

Solving this equation, we find:

2100/4 = (3/4)x^2

x^2 = 700

x = √700

Substituting this value back into the equation for h, we find:

h = (2100 - 700) / (4 * √700) = 1400 / (4 * √700) = 100 / √700

Therefore, the largest possible volume of the box is:

V = (1/4) * (2100 * √700 - 700 * √700) = 350√700 cubic centimeters.

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There are 3 cases to consider when determining horizontal asymptotes:

1) Case 1: if: degree of numerator < degree of denominator. then: horizontal asymptote: y = 0 (x-axis)

2) Case 2: if: degree of numerator = degree of denominator.

3) Case 3: if: degree of numerator > degree of denominator.

Answer:

406.98 cm^3

Step-by-step explanation:

volume of the pack = 4.3 * 21 * 21 = 1896.3 cm^3

volume of a cylinder  =  π * r^2 * h

radius = 3.5/2 = 1.75

π * 1.75^2 * 4.3 = 41.37 cm^3

41.37 * 36 = 1489.32

1896.3 - 1489.32 = 406.98 cm^3

Answer:

w > 390

Step-by-step explanation:

13 < w/5 - 13

26 < w/15

390 < w

w > 390

Answer:

c). y = -2x + 9

Step-by-step explanation:

y = -2x + b

1 = -2(4) + b

1 = -8 + b

9 = b

Answer:  7 Courts

Step-by-step explanation: One US gallon equals for US courts, so 1 3/4 x 4 is seven

Answer: 7

Step-by-step explanation:

3/4 as a decimal is .75

The type of sampling described, where the researchers intentionally select a sample with 50% straight and 50% LGBTQ+ respondents, is known as "disproportionate stratified sampling."

A. Disproportionate stratified sampling involves dividing the population into different groups (strata) based on certain characteristics and then intentionally selecting a different proportion of individuals from each group. In this case, the researchers are dividing the population based on sexual orientation (straight and LGBTQ+) and selecting an equal proportion from each group.

B. Availability sampling (also known as convenience sampling) refers to selecting individuals who are readily available or convenient for the researcher. This type of sampling does not guarantee representative or unbiased results and may introduce bias into the study.

C. Snowball sampling involves starting with a small number of participants who meet certain criteria and then asking them to refer other potential participants who also meet the criteria. This sampling method is often used when the target population is difficult to reach or identify, such as in hidden or marginalized communities.

D. Simple random sampling involves randomly selecting individuals from the population without any specific stratification or deliberate imbalance. Each individual in the population has an equal chance of being selected.

Given the description provided, the sampling method of intentionally selecting 50% straight and 50% LGBTQ+ respondents represents disproportionate stratified sampling.

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a) The relationship between b and c is that c cannot be zero.

b) b can be any nonzero constant and c is equal to 2.5 in this case.

In two dimensions, the compatibility equations for strain are,0

∂εx/∂y + ∂γxy/∂x = 0

∂εy/∂x + ∂γxy/∂y = 0

where εx and εy are the normal strains in the x and y directions, respectively, and γxy is the shear strain.

Using the given strain field, we can calculate the strains,

εx = -4.5cx² + 10.5cy

εy = 1.5cx² - 7.5cy²

γxy = 1.5bxy

Taking partial derivatives and plugging them into the compatibility equations, we get,

⇒ -9cx + 0 = 0

⇒ 0 + (-15cy) = 0

These equations must be satisfied for the strain field to be compatible. From the first equation,

We get cx = 0, which means c cannot be zero.

From the second equation, we get cy = 0,

Which means b can be any nonzero constant.

For part b:

We are asked to find the displacements u and v corresponding to the given strain field at points (3, 7), assuming they are zero at point (0, 0) and using c = 2.5.

To find the displacement components,

We need to integrate the strains with respect to x and y. We get,

u = ∫∫εx dx dy = ∫(10.5cy) dy = 5.25cy²

v = ∫∫εy dx dy = ∫(1.5cx² ) dx - ∫(7.5cy²) dy = 0.5cx³ - 2.5cy³

Plugging in the values of c and b, we get,

u = 5.25(2.5)(7)²  = 767.62

v = 0.5(2.5)(3)³ - 2.5(7)³ = -8583.75

Therefore,

The displacements at points (3, 7) are u = 767.62 and v = -8583.75.

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Answer:x − x^{2} − 1.

Step-by-step explanation:

.

Answer:Sorry

I don't seem to have work in your Question Sorry if i can't answer

We can state that the value οf the definite integral ∫₀³ x³ dx is between 0 and 81.

smaller value = 0

larger value = 81

Tο estimate the value οf the definite integral ∫₀³ x³ dx using the given prοperty, we need tο find the absοlute minimum and maximum οf the functiοn f(x) = x³ οn the interval [0, 3].

Taking the derivative οf f(x) and setting it tο zerο tο find critical pοints:

f'(x) = 3x²

3x² = 0

x = 0

We have a critical pοint at x = 0.

Nοw let's evaluate the functiοn at the critical pοint and the endpοints οf the interval:

f(0) = 0³ = 0

f(3) = 3³ = 27

Frοm the abοve calculatiοns, we can see that the absοlute minimum (m) οf f(x) οn the interval [0, 3] is 0, and the absοlute maximum (M) is 27.

Nοw we can use the given prοperty tο estimate the value οf the definite integral:

m(b - a) ≤ ∫₀³ x³ dx ≤ M(b - a)

0(3 - 0) ≤ ∫₀³ x³ dx ≤ 27(3 - 0)

0 ≤ ∫₀³ x³ dx ≤ 81

Therefοre, we can estimate that the value οf the definite integral ∫₀³ x³ dx is between 0 and 81.

smaller value = 0

larger value = 81

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Complete question:

Answer:

  7y^2 +8xy -3

Step-by-step explanation:

Distribute the minus sign and combine like terms.

  = 7y^2 +6xy +2xy -3

  = 7y^2 +8xy -3

Answer:

A On Edge

Step-by-step explanation:

Answer:

Step-by-step explanation:

Remark

The figure inside the circle is a quadralateral. The 4 angles touch the circumference of the circle. The figure is further defined as a cyclic quadrilateral.

One of the properties of such a figure, is that the opposite angles are supplementary. That is they add to 180.

Equation and solution

? + 100 = 180             Subtract 100 from both sides

? + 100 - 100 = 180 - 100

? = 80 degrees

Answer

? = 80

Answer:

b is the correct answer

Step-by-step explanation:

Answer:

B) y = -5x+4

Step-by-step explanation:

y = mx+b

In this formula, b is the y intercept, in this case 4.

When the y-intercept it positive, it is above the x-axis.

we can write the Taylor series for f(x) = ln(1/x) using summation notation:

ln(1/x) = -∑[n=1 to ∞] (-1)ⁿ * (xⁿ)/n

The Taylor series for the function f(x) = ln(1/x) based at 0 can be found by using the basic Taylor series for the natural logarithm function ln(1 + x):

ln(1 + x) = x - (x²)/2 + (x³)/3 - (x⁴)/4 + ...

To obtain the Taylor series for f(x) = ln(1/x), we need to substitute x with -x in the above series:

ln(1 - x) = -x - (-x²)/2 - (-x³)/3 - (-x⁴)/4 + ...

However, we want the Taylor series for f(x) = ln(1/x) based at 0, so we need to flip the sign of each term in the series:

ln(1/x) = -x - (-x²)/2 - (-x³)/3 - (-x⁴)/4 + ...

Now, we can write the Taylor series for f(x) = ln(1/x) using summation notation:

ln(1/x) = -∑[n=1 to ∞] (-1)ⁿ * (xⁿ)/n

The largest open interval on which this series converges is (0, 1]. This is because the natural logarithm function ln(1/x) is only defined for positive values of x, and the Taylor series converges within the interval (0, 1].

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Answer:

Step-by-step explanation:

Given

Corresponding angles are congruent:

Answer:

d

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

The displacement vector dW corresponding to the second leg of the student's trip can be expressed as (-0.400, 0) miles.

To find the displacement vector dW for the westward leg of the trip, we need to consider the overall displacement from the starting point.

The student first travels 0.900 miles north, so the displacement vector dN for this leg is (0, 0.900) miles.

Then, the student travels 0.400 miles west. Since this is a westward displacement, the x-component of the displacement vector dW will be negative, and the y-component will be zero. Therefore, the displacement vector dW can be expressed as (-0.400, 0) miles.

Finally, the student travels 0.100 miles south. Since this is a southward displacement, the y-component of the displacement vector dS will be negative, and the x-component will be zero. Therefore, the displacement vector dS can be expressed as (0, -0.100) miles.

To find the overall displacement vector d, we sum the individual displacement vectors:

d = dN + dW + dS

d = (0, 0.900) + (-0.400, 0) + (0, -0.100)

d = (-0.400, 0.900 - 0.100)

d = (-0.400, 0.800) miles

Hence, the displacement vector dW for the westward leg of the trip can be expressed as (-0.400, 0) miles. The x-component represents the westward displacement, which is -0.400 miles, and the y-component represents the northward displacement, which is 0 miles.

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Answer:

81.5

Step-by-step explanation:

<G and <H are congruent

<F and <I are congruent

so the last two angles in both triangles must also be congruent

this means that <K and <J are congruent

so we can create this equation: <K = <J

substitute the angles with what we know: 4\(y^{2}\) = 6\(y^{2}\) - 40

add 40 to both sides and subtract 4\(y^{2}\) from both sides: 40 = 2\(y^{2}\)

you get: 20 = \(y^{2}\)

root square on both sides: \(\sqrt{20}\) = \(\sqrt{y^{2} }\)

you get: y ≈ 4.5

substitute this into one of the equations for a missing variable:

6\(y^{2}\) -----> 6 (4.5 x 4.5) - 40

6 ( 20.25) - 40

121.5 - 40

81.5

The probability that a randomly selected observation is between 23 and 85 is 31/35 or approximately 0.886.

To find the probability that a randomly selected observation is between 23 and 85, we need to calculate the area under the probability density function (PDF) between 23 and 85.

Since X is a uniform random variable, the PDF is a horizontal line with height 1/(90-20) = 1/70 over the interval [20, 90].

The area under the PDF between 23 and 85 is the area of a rectangle with width 85-23 = 62 and height 1/70, which is (62)(1/70) = 31/35.

Therefore, the probability that a randomly selected observation is between 23 and 85 is 31/35 or approximately 0.886.

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