Zoe, Latoya, Christina, and Rhoda each used a different method to verify that Negative 2 (3 x minus 12) = negative 6 x + 24.

Answer:

54

Step-by-step explanation:

Answer:

y=54

as x=3

so y=2*x^3

y= 2*3^3

y=2*27

y=54

Since the selected baby is Hispanic, we can use the probability given for Hispanic babies, which is 1 of 275.

Answer:1/12

Step-by-step explanation:

Answer:

1/12

Step-by-step explanation:

The answer of the given question based on expression is  the value of p that satisfies the given condition is -2.

The binomial theorem is a fundamental concept in algebra that provides a formula for expanding expressions of the form (a + b)ⁿ, where n is a non-negative integer and a and b are real numbers. The formula is as follows:

(a + b)ⁿ = C(n, 0)aⁿ b⁰ + C(n, 1)a⁽ⁿ⁻¹⁾ b¹ + ... + C(n, r)a⁽ⁿ⁻r⁾ b^r + ... + C(n, n)a⁰bⁿ

The binomial theorem states that the nth power of a binomial can be expanded as the sum of the products of each term in the binomial raised to a power and the corresponding binomial coefficient. The binomial coefficient represents the number of ways of choosing r objects from a set of n objects, and is often denoted by "n choose r" or written as a combination symbol, (nCr).

We can use the binomial theorem to expand the given expression as:

(2-3px) (4x⁴ + 5x₃ - x) = 8x⁴ + 10x³ - 2x - 12px⁵ - 15px⁴ + 3px²

To find the coefficient of x⁴ in this expansion, we need to look at the terms that contain x⁴. There are two such terms: 8x⁴ and -15px⁴. Therefore, the coefficient of x⁴ is 8 - 15p.

We are given that this coefficient is 38, so we can set up the equation:

8 - 15p = 38

Solving for p, we get:

-15p = 30

p = -2

Therefore, the value of p that satisfies the given condition is -2.

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G(t) = 678.97 * 1.0194t, where t is the number of years after 2017. This formula illustrates the exponential growth of GDP in Switzerland, which increases by 1.94% each year.

The gross domestic product (GDP) of Switzerland in 2017 is given as $678.97 billion. If the GDP increases by 1.94% per year, then we can use an exponential growth formula to find the GDP in any year t after 2017.

The exponential growth formula is given by

G(t) = G₀ * (1 + r)ᵗ

Where G₀ is the initial GDP, r is the annual growth rate, and t is the number of years after the initial year.

Plugging in the given values, we get

G(t) = 678.97 * (1 + 0.0194)ᵗ

G(t) = 678.97 * (1.0194)ᵗ

Hence, the formula for the GDP of Switzerland t years after 2017 is G(t) = 678.97 * (1.0194)ᵗ (in billions of dollars).

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Answer:

70 in²

Step-by-step explanation:

Notice that the total probability is distributed in 8 minutes. Furthermore, the total probability has to be equal to 1, then:

Where h is the height of the distribution. The first answer is 0.125.

b) Notice that 16-13=3 min. Therefore, the probability we are looking for is:

c) Notice that the probability for the bus to arrive before 15 minutes is:

Thus, the probability that will we wait more than 15 minutes is:

The third answer is 0.25

d) The probability that one will wait at most 15 minutes was found in the previous step:

The fourth answer is 0.75

American nickels are issued as currency. A value of $1.70 is equal to 10 nickels and 12 dimes ($0.50 + $1.20).

A dime is worth ten cents and a nickel five cents. In other words, one dime is equivalent to two nickels.

In light of this, we might state that a nickel is worth half what a dime is worth.

Despite having a higher value than a nickel, the dime is smaller.

n + d = 22 <— d = 22-n

Amount in pennies: 5n + 10d = 170

5n + 10(22 - n) = 170

5n + 220 - 10n = 170

220 - 5n = 170

220 - 170 - 5n = 0

50 - 5n = 0

50 = 5n

n = 10

A value of $1.70 is equal to 10 nickels and 12 dimes ($0.50 + $1.20).

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Answer:

yeah the answer is one of those just pick one

Answer:

The expression is: \(p = 1.25*t\)

Step-by-step explanation:

Since the price is determined by the weight of the turkey, we need to find the value of one pound in order to create the expression, to do that we will apply the point given.

\(\text{price per pound} = \frac{\text{price}}{\text{weight}}\\\text{price per pound} = \frac{15.5}{12.4} = 1.25\)

Each pound costs $1.25, therefore the expression used to calculate the price of the turkey must be the weight of the turkey in pounds multiplied by the price of each pound.:

\(p = 1.25*t\)

Answer:

It is the third option

Step-by-step explanation:

I hope this helps you

Answer:

46 1/2 feet

Step-by-step explanation:

Perimeter is defined as 2 × length + 2 × width which is 12.5 × 2 + 10.75 × 2 which works out to 46 1/2 or 46.5 feet which is the answer.

The perimeter of rectangle with length of the fence is \(12\frac{1}{2}\) feet and the width of the fence is \(10\frac{3}{4}\) is 46.5 feet.

The area of Rectangle is length times of width.

Given,

The length of the fence is  \(12\frac{1}{2}\) feet

\(12\frac{1}{2}\) is changed to improper fraction 25/2

the width of the fence is \(10\frac{3}{4}\)

\(10\frac{3}{4}\)  is changed to improper fraction 43/4

Now we know that perimeter of rectangle =2(Length+width)

=2(25/2+43/4)

LCM of 2 and 4 is 4

=2(50+43)/4

=93/2

=46.5

Hence the perimeter of rectangle with length of the fence is \(12\frac{1}{2}\) feet and the width of the fence is \(10\frac{3}{4}\) is 46.5 feet.

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Answer:

Its 10:4 so its 5:2 when dividing

5:2 is the answer

The ratio of orange fish to green fish in the fish tank is given by 5 : 2

The proportion formula is used to depict if two ratios or fractions are equal. The proportion formula can be given as a: b::c : d = a/b = c/d where a and d are the extreme terms and b and c are the mean terms.

The proportional equation is given as y ∝ x

And , y = kx where k is the proportionality constant

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Given data ,

Let the proportion equation be represented as A

Now , the value of A is

Let the total number of fishes in the fish tank be = 14 fishes

The number of orange fishes = 10 fishes

The number of green fishes = 5 fishes

Now , the ratio of orange fish to green fish in the fish tank is = number of orange fishes / number of green fishes

On simplifying , we get

The ratio of orange fish to green fish in the fish tank is = 10 / 4

The ratio of orange fish to green fish in the fish tank is = 5/2

Hence , the proportion is 5 : 2

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To calculate the area between the curve y = sin(3x)cos(x) and the x-axis from x = 0 to x = π/2, we can use integration.

The area can be calculated by evaluating the definite integral of the absolute value of the function within the given interval.

∫[0, π/2] |sin(3x)cos(x)| dx

Since the integrand is non-negative within the given interval, we can simplify the integral by removing the absolute value.

∫[0, π/2] sin(3x)cos(x) dx

To solve this integral, we can use the product-to-sum trigonometric identity: sin(a)cos(b) = (1/2)(sin(a + b) + sin(a - b)).

∫[0, π/2] (1/2)(sin(4x) + sin(2x)) dx

Now we can integrate each term separately:

∫[0, π/2] (1/2)sin(4x) dx + ∫[0, π/2] (1/2)sin(2x) dx

Integrating each term gives:

(-1/8)cos(4x) evaluated from 0 to π/2 + (-1/4)cos(2x) evaluated from 0 to π/2

Plugging in the limits of integration:

[(-1/8)cos(4(π/2)) - (-1/8)cos(4(0))] + [(-1/4)cos(2(π/2)) - (-1/4)cos(2(0))]

Simplifying further:

[(-1/8)cos(2π) - (-1/8)cos(0)] + [(-1/4)cos(π) - (-1/4)cos(0)]

Cosine of 2π and π is 1, and cosine of 0 is 1, so we have:

[(-1/8)(1) - (-1/8)(1)] + [(-1/4)(-1) - (-1/4)(1)]

Simplifying the expression gives:

[-1/8 + 1/8] + [1/4 + 1/4]

1/4 + 1/2

3/4

Therefore, the area between the curve y = sin(3x)cos(x) and the x-axis from x = 0 to x = π/2 is 3/4 square units.

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Answer:

the anwser is 67

Step-by-step explanation:

thanks fotr points

The solution is: C. Time (weeks) 3, 4, 6, 9 Plant growth (in.) 0.9, 1.2, 1.8, 2.7, the table could represent Relationship B.

Here, we have,

Step 1:

The tables give a relationship between the growth of a plant and the number of weeks it took.

To determine the rate of each table, we determine the growth of the plant in a single week.

The growth rate in a week = difference in height/ time taken

Step 2:

For the given graph, the points are (5,2) and (10,4).

The growth rate in a week = 4-2/10-5 = 2/5 = 0.4

So the growth rate for relationship A is 0.4.

Step 3:

Now we calculate the growth rates of the given tables.

Table 1's growth rate in a week = 2.4 - 1.8 / 4-3 = 0.6

Table 2's growth rate in a week = 2 - 1.5/ 4-3 = 0.5

Table 3's growth rate in a week = 1.2 - 0.9/ 4-3 = 0.3

Table 4's growth rate in a week = 3.6 - 2.7/ 4-3 = 00.9

Since relationship B has a lesser rate than A,

so, we get,

Table3 is relationship B.

Hence, C. Time (weeks) 3, 4, 6, 9 Plant growth (in.) 0.9, 1.2, 1.8, 2.7, the table could represent Relationship B.

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The correct option is C. Connect every intersection of an arc and the circle with a segment.

When constructing an inscribed regular hexagon, the steps come after six arcs are created on the circle is connect every intersection of an arc and the circle with a segment.

A hexagon is a two-dimensional geometric shapes shape with six sides that have the same or different length dimensions. A hexagonal flooring, pencil cross-section, honeycomb, and other real time of the hexagon shape include.

Some key features related to regular hexagon are-

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It is the location of the center of an equal distance point traced from the center. A circle's radius is the distance among its center and its circumference.

When building an engraved regular hexagon.

Following the creation of six arcs on the circle, the following steps will be taken.

A segment should be connected to every intersection of an arc and a circle.

The correct question is -

When constructing an inscribed regular hexagon, what steps come after six arcs are created on the circle?

A. Connect every other intersection of an arc and the circle with a segment. B. Connect the intersections of the diameters and the circle with a segment.

C. Connect every intersection of an arc and the circle with a segment.

D. Connect the midpoint of the radius to the endpoint of the diameter.

Answer: (C) Connect every intersection of an arc and the circle with a segment.

Step-by-step explanation: butter

The three points to plot for the equation 2y = 3x + 11 are (0, 5.5), (1, 7), and (-1, 4).

To graph the equation 2y = 3x + 11, we can choose any three points that satisfy the equation. Let's select three points and plot them on a coordinate plane:

Point 1:

Let's set x = 0 and solve for y:

2y = 3(0) + 11

2y = 0 + 11

2y = 11

y = 11/2 = 5.5

So, the first point is (0, 5.5).

Point 2:

Let's set x = 1 and solve for y:

2y = 3(1) + 11

2y = 3 + 11

2y = 14

y = 14/2 = 7

The second point is (1, 7).

Point 3:

Let's set x = -1 and solve for y:

2y = 3(-1) + 11

2y = -3 + 11

2y = 8

y = 8/2 = 4

The third point is (-1, 4).

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Answer:

The value of side b is 24.

Step-by-step explanation:

To obtain the value of side b using the Pythagorean theorem, we have the following information:a = 7 (length of side a)

c = 25 (length of the hypotenuse, side c)

The Pythagorean theorem states that in a right triangle, the square of the hypotenuse (c) is equal to the sum of the squares of the other two sides (a and b). Mathematically, it can be written as:

a² + b² = c²

Substituting the given values:

7² + b²= 25^249 + b² = 625

To isolate b², we can subtract 49 from both sides:

b² = 625 - 49b² = 576

Taking the square root of both sides to solve for b:

b = √576

b = 24

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Answer:

V = 900π ≈ 286.47 units³

Step-by-step explanation:

C = 2πr

12 = 2πr

r = 12/2π = 6/π

V = 2πr²h

V = π(6/π)²(25) = π(36/π²)(25)

V = 36/π(25) = 900/π ≈ 286.47

Answer:

m = 4

Step-by-step explanation:

Slope = rise/run or (y2 - y1) / (x2 - x1)

Two points (-1, 0) (0,4)

We see the y increase by 4, and the x increase by 1, so the slope is

m = 4

Answer:

The answer is b+17

Step-by-step explanation:

The correct answer is that the probability of a cash flow being between $16,000 and $19,000 is approximately 18.59%.

To calculate the probability of a cash flow being between $16,000 and $19,000, we can use the standard deviation and assume a normal distribution.

We are given that the average cash flow is $14,000 with a standard deviation of $5,000. These values are necessary to calculate the probability.

The probability of a cash flow falling within a certain range can be determined by converting the values to z-scores, which represent the number of standard deviations away from the mean.

First, we calculate the z-score for $16,000 using the formula: z = (x - μ) / σ, where x is the cash flow value, μ is the mean, and σ is the standard deviation. Plugging in the values, we get z1 = (16,000 - 14,000) / 5,000.

z1 = 2,000 / 5,000 = 0.4.

Next, we calculate the z-score for $19,000: z2 = (19,000 - 14,000) / 5,000.

z2 = 5,000 / 5,000 = 1.

Now that we have the z-scores, we can use a standard normal distribution table or calculator to find the corresponding probabilities.

Subtracting the probability corresponding to the lower z-score from the probability corresponding to the higher z-score will give us the probability of the cash flow falling between $16,000 and $19,000.

Looking up the z-scores in a standard normal distribution table or using a calculator, we find the probability for z1 is 0.6554 and the probability for z2 is 0.8413.

Therefore, the probability of the cash flow being between $16,000 and $19,000 is 0.8413 - 0.6554 = 0.1859, which is approximately 18.59%.

So, the correct answer is that the probability of a cash flow being between $16,000 and $19,000 is approximately 18.59%.

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The probability of a cash flow between $16,000 and $19,000 is approximately 18.59%.

To calculate the probability of a cash flow being between $16,000 and $19,000, we can use the standard deviation and assume a normal distribution.

We are given that the average cash flow is $14,000 with a standard deviation of $5,000. These values are necessary to calculate the probability.

The probability of a cash flow falling within a certain range can be determined by converting the values to z-scores, which represent the number of standard deviations away from the mean.

First, we calculate the z-score for $16,000 using the formula: z = (x - μ) / σ, where x is the cash flow value, μ is the mean, and σ is the standard deviation. Plugging in the values, we get z1 = (16,000 - 14,000) / 5,000.

z1 = 2,000 / 5,000 = 0.4.

Next, we calculate the z-score for $19,000: z2 = (19,000 - 14,000) / 5,000.

z2 = 5,000 / 5,000 = 1.

Now that we have the z-scores, we can use a standard normal distribution table or calculator to find the corresponding probabilities.

Subtracting the probability corresponding to the lower z-score from the probability corresponding to the higher z-score will give us the probability of the cash flow falling between $16,000 and $19,000.

Looking up the z-scores in a standard normal distribution table or using a calculator, we find the probability for z1 is 0.6554 and the probability for z2 is 0.8413.

Therefore, the probability of the cash flow being between $16,000 and $19,000 is 0.8413 - 0.6554 = 0.1859, which is approximately 18.59%.

So, the correct answer is that the probability of a cash flow being between $16,000 and $19,000 is approximately 18.59%.

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Overall, equations provide a mathematical representation and understanding of relationships, while tables present data points in a structured format.

When comparing an equation and a table, you can examine their characteristics, purpose, and the information they provide. Here are some points to consider when making comparisons:

Representation:

An equation represents a mathematical relationship between variables using symbols and mathematical operations. A table presents data or values in a structured format, typically organized into rows and columns.

Communication of Information:

Equations provide a concise and general representation of a relationship, allowing for predictions, calculations, and modeling. Tables present specific data points or values, providing a visual representation of how variables are related or how they change.

Variables:

Equations involve variables, which can be manipulated to explore different scenarios and analyze the relationship between quantities. Tables display specific values or data points for variables, showing how they vary or are related based on the given information.

Visualization:

Equations can express relationships symbolically and provide a mathematical understanding, but they may not offer a visual representation of data. Tables provide a visual representation of data points, allowing for a quick overview and easy comparison of values.

Flexibility:

Equations offer flexibility in terms of adjusting variables and parameters to explore different scenarios and make predictions. Tables can be easily modified or expanded by adding or removing data points to reflect new observations or additional information.

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(2 , -10) is the co- Oridinates of A.

What exactly does coordinate geometry mean?

The discipline of coordinate geometry is the study of geometry using coordinate points. It is possible to use coordinate geometry to determine distances between points, divide lines into m:n segments, locate a line's midpoint, determine the area of a triangle in the Cartesian plane, and perform other operations.

x coordinate is reduced by -5; y coordinate is increased by -5

so transformation is (x,y) -> (x +5, y-5)

applying the same transformation to B(-3,-5)

B' = (-3 +5 , -5 - 5) = (2 , -10)

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The complete question is -

A translation maps the point (5,7) onto the point (2,9) and the point A onto the point (-3 ,-5) . find the co - oridinates of A.

Answer:

3 lbs

Step-by-step explanation:

There are 16oz in 1 lb

Therefore, 2 pieces of pie is 1 lb

Divide 6 by 2 and you get 3 lbs

Answer:

7% sales tax

Step-by-step explanation:

If the pencils cost $6, then the sales tax costs $6.42 - $6 = $0.42. To find the rate, we must divide $0.42 by $6. $0.42/$6 = 0.07. 0.07 is 7%.