Please give me the correct answer.

Answer: = − 2

Step-by-step explanation:

\(above \: the \: line\)

The volume of the square pyramid, to the nearest tenth, is determined as: 1.5 cubic inch.

Volume of a pyramid is given as, V = 1/3 × a² × h, where:

a = side length of the square base

h = height of the pyramid

Given the following:

Perimeter of the base = 5.1 in.

Side length of the square base = 5.1/4

The height of the pyramid = 2.7 in.

Plug in the values into V = 1/3 × a² × h:

Volume of the square pyramid = 1/3 × (5.1/4)² × 2.7

Volume of the square pyramid = 1/3 × 1.625625 × 2.7

Volume of the square pyramid = 1.4630625

Volume of the square pyramid = 1.5 cubic inch (to the nearest tenth of a cubic inch).

Thus, the volume of the square pyramid with the given perimeter, to the nearest tenth, is determined as: 1.5 cubic inch.

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The maximum profit is achieved when approximately 312.5 units of lab equipment are sold.

The revenue function R(x) represents the amount of money the company earns from selling x units of lab equipment. It is given by the equation:

R(x) = -0.32x^2 + 270x

The costs function C(x) represents the expenses incurred by the company for producing and selling x units of lab equipment. It is given by the equation:

C(x) = 70x + 52

To determine the company's profit, we subtract the costs from the revenue:

Profit = Revenue - Costs

P(x) = R(x) - C(x)

Substituting the given revenue and costs functions:

P(x) = (\(-0.32x^2 + 270x)\) - (70x + 52)

Simplifying the equation:

P(x) = -0.32x^2 + 270x - 70x - 52

P(x) = -\(0.32x^2\)+ 200x - 52

The profit function P(x) represents the amount of money the company makes from selling x units of lab equipment after deducting the costs. It is a quadratic function with a negative coefficient for the x^2 term, indicating a downward-opening parabola. The vertex of the parabola represents the maximum profit the company can achieve.

To find the maximum profit and the corresponding number of units sold, we can use the vertex formula:

x = -b / (2a)

For the profit function P(x) = -\(0.32x^2 + 200x\)- 52, a = -0.32 and b = 200.

x = -200 / (2 * -0.32)

x = 312.5

Therefore, the maximum profit is achieved when approximately 312.5 units of lab equipment are sold.

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6 × 7 = 42 because       area = length × width    

Answer:

B

Step-by-step explanation:

Two angles are said to be complementary angles if their sum is 90 degrees. Then ∠I ≅ ∠H is proved, below.

The angle is the distance between the intersecting lines or surfaces. The angle is also expressed in degrees. The angle is 360 degrees for one complete spin.

Two angles are said to be complementary angles if their sum is 90 degrees.

∠G and ∠H are complementary angles and ∠G and ∠I are complementary angles.

Then show that ∠I ≅ ∠H

∠G + ∠H = 90°  ...1

∠G + ∠I = 90°  ...2

Then from equation 1 and 2, we ahve

∠G + ∠I = ∠G + ∠H

        ∠I = ∠H

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Answer:

{1, 2, 3, 4, 5, 6, 7, 8}

Step-by-step explanation:

In this problem, we use the variable c to represent the independent quantity.  This means that the domain is all possible values for c. Since the store only has 8 cases of water, the domain cannot be any number larger than 8. Since the store only sells complete cases, not partial cases, of water, the domain cannot be a fraction or decimal number. This means that the practical domain, or domain that makes sense for the problem situation, is {1, 2, 3, 4, 5, 6, 7, 8}.

Answer:

shape as that of the base of the solid

Step-by-step explanation:

A solid has a three dimensional shape. A three dimensional shape has both length, breadth and height. If the solid is being cut parallel to the base, a two dimensional shape (has length and width) is formed.

The shape of the two dimensional shape is the same as the shape of the base. Hence if solid is cut parallel to the bases, the shape formed would have the same shape as that of the solid base.

Answer:

width = 50 cm

Step-by-step explanation:

The volume (V) of a rectangular box is calculated as

V = lwh ( l is length, w is width and h is height )

Since V is given in cm³ then dimensions must be in cm

l = 1 m = 100 cm , then

100 × w × 75 = 375000

7500w = 375000 ( divide both sides by 7500 )

w = 50

the width of the box is 50 cm

Step-by-step explanation:

Puede que si pero espera un poco para que ella se te confiese

Answer:

puede ser que si pero si no pasa nada entre dos meses dile lo que sientes por ella

Step-by-step explanation:

Answer:

7.3

Step-by-step explanation:

Solving a system of equations, it is found that since the quadratic equation has two positive roots, they can be the values of the length and the width, and the design is possible.

The perimeter of a rectangle of length l and width w is given by:

\(P = 2(l + w)\)

The area is:

\(A = lw\)

In this problem, perimeter of 63.5 m, hence:

\(2l + 2w = 63.5\)

\(2l = 63.5 - 2w\)

\(l = 31.75 - w\)

Area of 225 m², hence:

\(lw = 225\)

\((31.75 - w)(w) = 225\)

\(w^2 - 31.75w + 225 = 0\)

Which is a quadratic equation with coefficients \(a = 1, b = -31.75, c = 225\).

Then:

\(\Delta = b^2 - 4ac = (-31.75)^2 - 4(1)(225) = 108.0625\)

\(w_1 = \frac{-b + \sqrt{\Delta}}{2a} = \frac{31.75 + \sqrt{108.0625}}{2} = 21.1\)

\(w_2 = \frac{-b - \sqrt{\Delta}}{2a} = \frac{31.75 - \sqrt{108.0625}}{2} = 10.68\)

Since the quadratic equation has two positive roots, they can be the values of the length and the width, and the design is possible.

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Answer:

b

Step-by-step explanation:

Answer:

a. x+6 = 0

b. y-2 = 0

Step-by-step explanation:

Given point is:

(-6,2)

a. Line perpendicular to x-axis:

A line perpendicular to x-axis means that the line is vertical and parallel to y-axis. Any equation parallel to y-axis has the form

x = k

where k is the x-coordinate of the point from which the line passes.

So the required equation is:

\(x = -6\\x+6 = 0\)

b. Line perpendicular to y-axis:

A line perpendicular to y-axis will be a horizontal line parallel to x-axis having the equation of the form

y = b

where b is the y-intercept

Required equation is:

\(y = 2\\y-2=0\)

Hence,

a. x+6 = 0

b. y-2 = 0

The probability of rolling a number greater than 4 on a single 6-sided die is 2/6 or 1/3. So, the probability of both rolls being greater than 4 is (1/3) * (1/3) = 1/9.

The probability of rolling a number greater than 4 on a single 6-sided die is 2/6 or 1/3, since there are 2 numbers greater than 4 out of 6 possible outcomes.

To find the probability of rolling a number greater than 4 on two rolls, we can multiply the probability of each roll. The probability that both rolls are greater than 4 is (1/3) * (1/3) = 1/9. So the probability that both rolls are more than 4 is 1/9. The possible outcomes when rolling a single 6-sided die are 1, 2, 3, 4, 5, and 6. If we roll two dice independently, there are 36 possible outcomes, since each die can have any of the 6 outcomes on the first roll and each die can have any of the 6 outcomes on the second roll.

To find the probability that both rolls are more than 4, we need to determine how many of the 36 possible outcomes are more than 4 on both rolls. There are 3 outcomes greater than 4 (5, 6). If we roll a 5 on the first die and a 6 on the second die, the outcome would be a 5 and a 6, which are both greater than 4. There are 3 possibilities for the first die (5, 6) and 3 possibilities for the second die (5, 6), for a total of 3 x 3 = 9 possible outcomes where both rolls.

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The diameter of the circle is approximately 60 inches.

To explain further, we can use the formula relating the central angle of a sector to the length of its intercepted arc. The formula states that the length of the intercepted arc (A) is equal to the radius (r) multiplied by the central angle (θ) in radians.

In this case, we are given the central angle (225 degrees) and the length of the intercepted arc (30π inches).

To find the diameter (d) of the circle, we need to find the radius (r) first. Since the length of the intercepted arc is equal to the radius multiplied by the central angle, we can set up the equation 30π = r * (225π/180). Simplifying this equation gives us r = 20 inches.

The diameter of the circle is twice the radius, so the diameter is equal to 2 * 20 inches, which is 40 inches. Therefore, the diameter of the circle is approximately 60 inches.

In summary, by using the formula for the relationship between central angle and intercepted arc length, we can determine the radius of the circle. Doubling the radius gives us the diameter, which is approximately 60 inches.

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The missing lengths are:

\(XZ = 32\), \(LZ = 16\) and \(JL = 39\)

The lengths are given as:

YZ=78, JK= 16, and XY= 70

From the figure, we have the following highlights

The above highlights mean that:

\(XZ = 2 * JK\)

\(XZ = 2 * 16\)

\(XZ = 32\)

Also, we have:

\(LZ = JK\)

\(LZ = 16\)

\(JL = \frac{YZ}{2}\)

\(JL = \frac{78}{2}\)

\(JL = 39\)

Hence, the missing lengths are:

\(XZ = 32\), \(LZ = 16\) and \(JL = 39\)

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In the form of x ± m e, the confidence interval 147.9 < μ < 307.1 can be expressed as x ± m e = 227.5 ± 79.6.

The first paragraph provides a summary of the answer. The confidence interval 147.9 < μ < 307.1 can be represented as ¯ x ± m e = 227.5 ± 79.6.

In statistics, a confidence interval is a range of values within which a population parameter, such as the population mean (μ), is estimated to lie. The confidence interval is typically expressed in the form of ¯ x ± m e, where  x represents the sample mean and m e represents the margin of error.

Given the confidence interval 147.9 < μ < 307.1, we can calculate the sample mean by taking the average of the lower and upper bounds: (147.9 + 307.1) / 2 = 227.5. This is represented as ¯ x = 227.5.

The margin of error (m e) can be calculated by finding the half-width of the confidence interval. It is determined by taking half the difference between the upper and lower bounds: (307.1 - 147.9) / 2 = 79.6. This is represented as m e = 79.6.

Therefore, the confidence interval 147.9 < μ < 307.1 can be expressed as x ± m e = 227.5 ± 79.6. This means that we estimate the population mean (μ) to be 227.5, with a margin of error of 79.6. The actual value of μ is expected to fall within the range of 147.9 to 307.1.

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The Greek mathematicians started using the symbol pi (π) for as long as 4000 years in mathematical world.

A Short History of Pi

Even if we counted the number of seconds in those 4000 years and round the value of pi (π) to so many places, we would still only be estimating the true value of pi. Pi has been known for over 4000 years. Below is a quick summary of the discovery of.

By multiplying the radius of a circle by three, the ancient Babylonians determined its area, yielding the number pi = three. About 1900–1680 BC Babylonian tablets show a value of 3.125 for, which is a more accurate estimate.

The Rhind Papyrus, which dates to around 1650 BC, sheds light on ancient Egyptian mathematics. The calculation used by the Egyptians to determine a circle's area yielded a result that was around 3.1605 for.

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Betrys needs another 400 grams of diced potatoes to make her vegetable stew for 8 people.

We know that Betrys is cooking for 8 people, and we know that a recipe for 2 people needs 10 ounces.

8 people is 4 times 2 people, then for 8 people you need 4 times 10 ounces, this is 4*10 oz = 40 ounces.

Now we can apply a change of units, remember that:

1 oz = 28 grams

Then the total amount she needs is:

40 oz = 40*28 g = 1,120 g

So she needs in total 1,120 grams, and in the balance, she already has 720 grams, so the amount that she needs is given by the subtraction:

1,120 g - 720g = 400

Betrys needs another 400 grams of diced potatoes to make her vegetable stew for 8 people.

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The numbers 2 2 2 2 can be arranged to make the equation true as follows

The numbers arranged by applying the rule which had acronym of PEMDAS

the full meaning include

P - parenthesis

E  - exponents

M - multiplication

D - division

A - addition

S - subtraction

applying the sequence the problem is solved as follows

= (2 + 2/2)²

solving the parenthesis first we solve the problem inside the parenthesis. Inside the parenthesis we start with division

= (2 + 2/2)²

= (2 + 1)²

Then addition

= (3)²

having completed the parenthesis, we solve for the exponents

= 9

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Question:

Write an algebraic statement that represents all the ways your player will win. Be sure to define your variable

Answer:

Erica:

\(0 \leq |x - y| < 10\)

Nita:

\(10 < |x - y| \leq 20\)

Step-by-step explanation:

Given

Players: Erica & Nita

Range: 0 to 20

Represent Erica with x and Nita with y

For Erica to win;

The difference between x and y must be less than 10 but greater than or equal to 0

i.e.

\(0 \leq x - y \leq 10\) or \(0 \leq y - x \leq 10\)

These two expressions can be merged together to be:

\(0 \leq |x - y| < 10\)

For Nita to win;

The difference between x and y must be greater than 10 but less than or equal to 20

i.e.

\(10 < x - y \leq 20\) or \(10 < y - x \leq 20\)

These two expressions can be merged together to be:

\(10 < |x - y| \leq 20\)

Answer:

limo is c = 0.20m + 25

taxi is c = 1.20m

Step-by-step explanation:

The control chart limits (3 sigma) for the fertilizer-bag-filling machine can be computed using Table $6.1.

To compute the control chart limits (3 sigma) using Table $6.1 for the fertilizer-bag-filling machine, follow these steps:

Determine the sample size: In this problem, each sample consists of 7 observations.

Calculate the average range (R): For each sample, calculate the range by subtracting the smallest observation from the largest observation. Then, calculate the average range across all 35 samples.

Find the appropriate value from Table $6.1: Locate the row in Table $6.1 corresponding to the sample size (7) and find the factor associated with 3 sigma. This factor represents the number of standard deviations for the control limits.

Compute the control limits: Multiply the average range (R) by the factor obtained from Table $6.1 to determine the width of the control limits. Then, subtract this width from the overall average of the process data to obtain the lower control limit, and add the width to the overall average to obtain the upper control limit.

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Answer:

-6x-4

Step-by-step explanation:

Answer:

x = -4/6

The negative 2 gets multiplied by by everything in the brackets then the -6x goes to the other side and becomes positive. Divide everything by 6 and you get -4/6

The measure of angle ∠1 for the two given similar triangle is 20°.

If two triangles have an equal number of corresponding sides as well as an equal number of corresponding angles, then they are comparable.

The polygon with three sides is a triangle.

The following is the requirement for triangle similarity:

For the given question,

In triangle LMN

Sum of all angles of triangle is 180 degrees.

Thus,

∠L +  ∠M +  ∠N = 180.

70 +  ∠M +  90 = 180.

∠M  = 20 degrees,

The two triangles are similar as two corresponding angles are equal.

Thus,

∠1 =  ∠M  = 20 degrees,

Thus, the measure of the angle  ∠1 is found as the 20 degrees.

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Answer:

Natalie arrived at 3:55 pm or 15:25

Step-by-step explanation:

Start time is 3:00

The first two friends arrived at 10 minutes after 3. Arrival time = 3:10

Natalie arrived 45 minutes later. Arrival time is 3:10 + 45 = 3:55

Natalie arrived at 3:55, using 24-hour formats, the arrival time is 15:55