find surface area of the cube

The value of the product is 1/4

To determine the value of the product, we need to take note that fractions are described as the part of a whole number, element, or variable.

In mathematics, there are different types of fractions, namely;

From the information given, we have that;

1/4 × 25/25

Now, multiply the numerators

25/4(25)

Multiply the denominators

25/100

Divide the values

1/4

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The number of seconds where the football hit the ground is 2 seconds

From the question, we have the following parameters that can be used in our computation:

The graph

The number of seconds where the football hit the ground is when the graph intersects with the x-axis at the second time

In this case, the point is (2, 0)

Also, the seconds is represented by x

So, we have

x = 2

Hence, the seconds the football hits the ground is 2

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The correct function to find the probability that a z score is between 1 and 2.5 is =NORM.DIST(2.5, 0, 1, TRUE) - NORM.DIST(1, 0, 1, TRUE). This function calculates the cumulative probability for each z score and subtracts the lower value (1) from the higher value (2.5) to find the probability between them.

The function that gives the probability that a z score is between 1 and 2.5 is =NORM.DIST(2.5, 0, 1, TRUE) - NORM.DIST(1, 0, 1, TRUE). This function calculates the area under the standard normal distribution curve between the z scores of 1 and 2.5. The statistician can use this function to determine the likelihood of a random variable falling within this range of z scores. The standard normal distribution has a mean of 0 and a standard deviation of 1, which is why these values are used in the function.

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When a positive integer is raised to a negative power, we can evaluate it by taking the reciprocal of the positive integer raised to the absolute value of the negative power.

if we have a positive integer a raised to a negative power n, we can evaluate it as:

a^(-n) = 1 / a^n

For example, if we have 2^(-3), we can evaluate it as:

2^(-3) = 1 / 2^3 = 1/8

Similarly, if we have 5^(-2), we can evaluate it as:

5^(-2) = 1 / 5^2 = 1/25

Note that this rule applies only to positive integers raised to negative powers. When we have negative numbers raised to negative powers or fractions raised to negative powers, we need to use different rules for evaluation

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The cost of each pair of socks is $1.14 if Isabella paid $30 and gets $7.20 as a change for 5 pairs of socks.

The cost of 5 pairs of socks is given by the change she receives when subtracted from the total amount she paid.

Amount paid = $30

Change = $7.20

Cost of 5 pairs of socks = Amount paid - change

= 30 - 7.20

= $22.80

The cost of one pair of socks is calculated by dividing the cost of 5 pairs of socks by 5.

Cost of one pair of socks = 22.80 ÷ 5

= $ 1.14

Thus, the cost of one pair of socks is $1.14

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The complete question is 'Isabella gave the cashier $30 to pay for 5 pairs of socks. The cashier gave her $7. 20 in change. Each pair of socks cost the same amount. Find the cost of a single pair of socks.'

1. Shade Tolerance: The blend needs to score at least 300 points for shade tolerance.
Total: x * Shade Tolerance points + y * Shade Tolerance points ≥ 300
2. Traffic: The blend needs to score at least 400 points for traffic.
Total: x * Traffic points + y * Traffic points ≥ 400
3. Drought Resistance: The blend needs to score at least 750 points for drought resistance.
Total: x * Drought Resistance points + y * Drought Resistance points ≥ 750

To determine the number of pounds of each seed that should be in the blend, we need to use a system of equations. Let x be the number of pounds of type A seed and y be the number of pounds of type B seed in the blend.

The shade tolerance score for the blend can be expressed as:

x(80) + y(200) ≥ 300

The traffic score for the blend can be expressed as:

x(120) + y(100) ≥ 400

The drought resistance score for the blend can be expressed as:

x(200) + y(150) ≥ 750

We also know that the total amount of seed in the blend is x + y.

We want to minimize the costs of the blend, so we can set up the following equation for the total cost:

1x + 2y = Total cost

Now we can solve this system of equations using any method we prefer. One common method is to use substitution.

First, we can use the shade tolerance equation to solve for y in terms of x:

y ≥ (300 - 80x)/200

Next, we can substitute this expression for y in the traffic equation:

x(120) + ((300 - 80x)/200)(100) ≥ 400

Simplifying and solving for x, we get:

x ≥ 1.5

So the minimum amount of type A seed needed in the blend is 1.5 pounds. We can use this value to solve for y:

y ≥ (300 - 80(1.5))/200 = 1.05

So the minimum amount of type B seed needed in the blend is 1.05 pounds.

Since we want to minimize costs, we want to use the minimum amount of each seed necessary to meet the requirements. Therefore, we should use 1.5 pounds of type A seed and 1.05 pounds of type B seed in the blend.

We need the values for Shade Tolerance, Traffic, and Drought Resistance points for both Type A and Type B seeds to set up the inequalities. Please provide the points for each seed type, and I can help you determine the number of pounds needed for each seed in the blend.

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Answer:

1) The sum of the distances between the points on the ellipse and the foci is constant, whereas the difference between the distances between the points on the hyperbola and the foci is constant.

2) The equation of an ellipse is in the form (x^2/a^2) + (y^2/b^2) = 1, where a and b are the lengths of the semi-major and semi-minor axes, respectively. In contrast, the equation of a hyperbola is in the form (x^2/a^2) - (y^2/b^2) = 1, where a and b are also the lengths of the semi-major and semi-minor axes, respectively, but the difference between a and b determines the shape of the hyperbola.

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

Slope, the measure of the steepness of the line created by these 2 points, is calculated by taking the difference in "y"s divided by the difference in "x"s. The equation is (y2-y1)/(x2-x1) 2 being the coordinate in the second point, and 1 the coordinate in the first point.

((-12)-(-4))/((-1)-3)

The -(-4) turns into +4, so the top is (-12+4)

(-8)/(-4) = 2

A ratio is essentially a comparison of two quantities, often expressed as a fraction or using the colon symbol.

For example, the ratio of the length to the width of a rectangle could be expressed as "length:width" or "length/width". The terms "numerator" and "denominator" are also used in ratios, with the numerator representing the first quantity being compared and the denominator representing the second quantity being compared. Ratios can be simplified, multiplied, or divided just like fractions.
A ratio is the relationship between two quantities, such as the two adjacent sides of a rectangle. Ratios can be expressed in various ways, including using a colon (e.g., 3:4) or as a fraction (e.g., 3/4). These expressions help compare the relative sizes of the two quantities involved.

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The answer is option B: 0.040. When Z is a standard normal random variable, it means that Z has a mean of 0 and a standard deviation of 1. Therefore, P(-1.75 < Z < -1.25) represents the area under the standard normal curve between -1.75 and -1.25 standard deviations from the mean.

Using a standard normal distribution table or calculator, we can find that the area under the curve between -1.75 and -1.25 is approximately 0.040. Hence, the answer is option B: 0.040.
 To solve your question, we need to find the probability P(-1.75 ≤ Z ≤ -1.25) where Z is a standard normal random variable.

Step 1: Identify the given values
Z1 = -1.75
Z2 = -1.25

Step 2: Look up the Z-values in a standard normal table or use a calculator to find the corresponding probabilities
P(Z ≤ -1.75) = 0.0401
P(Z ≤ -1.25) = 0.211

Step 3: Use the properties of probabilities to find the required probability
P(-1.75 ≤ Z ≤ -1.25) = P(Z ≤ -1.25) - P(Z ≤ -1.75)
P(-1.75 ≤ Z ≤ -1.25) = 0.211 - 0.0401
P(-1.75 ≤ Z ≤ -1.25) = 0.1709

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Answer: 4.8

3/4+2 1/4= 3

7.8-3=4.8

In statistical analysis, variables are often used to describe and explain relationships between different variables or to predict outcomes based on certain variables.

In statistics, a variable is a characteristic or attribute that can take on different values or levels for different individuals or objects being studied. Variables can be classified as either quantitative or qualitative.

Quantitative variables are numerical in nature and can be further classified as discrete or continuous. Discrete variables can only take on specific values (such as the number of children in a family), while continuous variables can take on any value within a certain range (such as a person's height or weight).

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Answer: 60 seconds

Step-by-step explanation:

Answer:

Step-by-step explanation:

60 seconds

The value of tan 25° to the nearest hundred is,

⇒ 0.47

And, The value of sin 49° to the nearest tenth is,

⇒ 0.8

We have to given that;

To find the value of tan 25° and sin 49°

Now, We know that;

⇒ tan 25° = 0.4667

Rounded to the nearest hundred,

⇒ tan 25° = 0.47

And, We get;

⇒  sin 49° = 0.754

Rounded to the nearest tenth,

⇒ sin 49° = 0.8

Thus, The value of tan 25° to the nearest hundred is,

⇒ 0.47

And, The value of sin 49° to the nearest tenth is,

⇒ 0.8

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Answer:

Hope this helps!

Step-by-step explanation:

The solution is,  the unique price of the proportion is $10.37 even as within the promotion it is promoting at $18.25 consequently, The inventory is over-valued.

We have,

The following market and stock-specific statistics  10.37201

anticipated Return on company Y = Rf + Beta(Rm-Rf)

= zero.029+ 1.forty one*(zero.082)

= zero.14462

charge of the stock =Dividend/predicted to go back

= 1. 5/0.14462

= 10.37201

So the unique price of the proportion is $10.37 even as within the promotion it is promoting at $18.25 consequently, The inventory is over-valued.

A market is described as the sum overall of all the consumers and dealers in the region or place under attention. The vicinity may be the earth, nations, regions, states, or towns. The fee, fee, and fee of items traded are according to forces of delivery and demand in a marketplace.

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complete question:

use the following market and stock specific information to answer this question. assume you create your own portfolio made up of the four individual stocks shown below. the weighting of the porfolio is 30% stock w, 20% stock x, 20% stock y and 30% stock z. if a treasury bill currently sells for $970.05 and if firm y is expected to pay a constant annual dividend of $1.50 per share, and if the stock is currently selling for $18.25 per share, what is your opinion of the stock price?

We can use proportions to estimate the number of homes in Claiborne County that can access the Internet based on the survey results.

If 135 out of 300 homes surveyed can access the Internet, then the proportion of homes in Claiborne County that can access the Internet can be estimated as:

135/300 = x/45000

where x is the number of homes in Claiborne County that can access the Internet.

Solving for x, we get:

x = (135/300) * 45000 = 20,250

Therefore, we would expect approximately 20,250 homes in Claiborne County to be able to access the Internet based on the survey results. Note that this is just an estimate, and the actual number of homes in Claiborne County that can access the Internet may be different.

Step-by-step explanation:

this is just plain multiplication.

we know how far it travels on one day.

that multiplied by 365.25 is his fast it travels in one year.

that multiplied by 800 gives us how fast it travels in 800 years.

5.782 × 10⁸ × 365.25 × 800 = 5.782×365.25×800 × 10⁸ =

= 1,689,500.4 × 10⁸ = 1.6895004 × 10¹⁴ km

When the volume of the triangular block is 4 cubic inches, the approximate length of y is 2.8 inches.

volume = 1/2 x A x C x H = 4 cubic inches

Because the volume of the triangular block is 4 cubic inches.

Formula:

A x C = Base x Height

= 2.8 inches will be the approximate lenght of the y.

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Answer: What is a Distributive Law?

Step-by-step explanation:

Distributive law, also called distributive property, in mathematics, the law relating the operations of multiplication and addition, stated symbolically as a(b + c) = ab + ac; that is, the monomial factor a is distributed, or separately applied, to each term of the binomial factor b + c, resulting in the product ab + ac. From this law it is easy to show that the result of first adding several numbers and then multiplying the sum by some number is the same as first multiplying each separately by the number and then adding the products.

{Hope This Helps :)}

Multiplying a number by a group of numbers adding together is called distructive law

Therefore, the statement is false in general, and the equality Dkf(x, y, z) = fz(x, y, z) holds only when k = z.

The symbol Dk denotes the k-th partial derivative with respect to the variable k, so Dkf(x, y, z) denotes the partial derivative of f(x, y, z) with respect to the variable k.

On the other hand, fz(x, y, z) denotes the partial derivative of f(x, y, z) with respect to the variable z.

These two partial derivatives are generally not equal. For example, consider the function f(x, y, z) = x² + y² + z². Then:

Dxf(x, y, z) = 2x

Dyf(x, y, z) = 2y

Dzf(x, y, z) = 2z

In this case, we have Dzf(x, y, z) = fz(x, y, z) = 2z, so the statement is true when k = z.

However, if we consider k = x or k = y, then the statement is false in general. For example, when k = x, we have:

Dkf(x, y, z) = Dxf(x, y, z) = 2x

fz(x, y, z) = partial derivative of f with respect to z = 2z

Since 2x is generally not equal to 2z, the statement is false when k = x.

Similarly, the statement is false when k = y, because Dyf(x, y, z) is generally not equal to fz(x, y, z).

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Answer:

3 yards or option D.

Step-by-step explanation:

We can use the formula for the volume of a rectangular prism, which is:

Volume = length x width x height

We are given that the volume of the shower is 7.5 cubic yards, and the area of the base is 2.5 square yards. We can use the area of the base to find the length and width of the shower, since the base is a rectangle.

Area of base = length x width

2.5 = length x width

We are not given the length or width, but we can solve for one of them in terms of the other:

length = 2.5/width

Now we can substitute this expression for length into the formula for volume:

Volume = length x width x height

7.5 = (2.5/width) x width x height

Simplifying, we can cancel out the width terms:

7.5 = 2.5 x height

Dividing both sides by 2.5, we get:

3 = height

1.) The probability that the spinner will land on C would be = 1/8

2.) The probability of not spinning on C would be = 7/8

To calculate the probability the formula that should be used would be as follows;

Probability = possible outcome/sample space.

For question 1.)

sample space = 8

possible outcome = 1

probability = 1/8

For question 2.)

sample space = 8

possible outcome = 7

probability = 7/8

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The lengths of the longest sides of the triangles are 40 and 16.

The lengths of each side of the triangle is calculated as follows;

Let the longest side of the similar triangle = L

then the longest side of the triangle = 3L - 8

The value of L or the longest side is calculated by applying congruency theorem for the similar triangles.

L/6 = (3L - 8)/15

15L = 6 (3L - 8)

15L = 18L - 48

15L - 18L = -48

-3L = -48

L = 48/3

L = 16

The second triangle, = 3L - 8

= 3 x 16 - 8

= 40

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a. If Jennifer has begun construction on the home and plans to live in it in 12 months from the time construction began, the interest she pays on the loan can be treated as deductible mortgage interest.

This is because the IRS allows interest on loans for the construction or purchase of a second home to be deductible if the home will be used as a qualified residence within 24 months.

b. If Jennifer hasn't begun construction on the home but plans to live in it in 15 months, the interest she pays on the loan can still be treated as deductible mortgage interest. As long as she starts construction and completes it within 24 months, making the home a qualified residence, the interest remains deductible.

c. If Jennifer has begun construction on the home but doesn't plan to live in it for 37 months from the time construction began, the interest on the loan is not deductible as mortgage interest. This is because the home won't be used as a qualified residence within the 24-month time frame allowed by the IRS.

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The number of djembe drum sold is 8

Profit is the money you have left after paying for business expenses. This means after deducting the money of expenses from the selling price , the remainder is profit.

Therefore , profit = selling price - cost price

set of claves = $5

set of maracas = $14

a drum = $16

Selling price of drum = 16 × x =16x

selling price of claves = 6×5 = 30

selling price of maracas = 14 × 12 = 168

total selling price =$( 16x+30+168)

cost price = 326-( 16x+30+168)

Therefore,

326 = 16x+30+168-(326-16x-30-168)

326 = 16x +30+168-326+16x+30+168

326 = 32x+60+336-326

326+326-336-60 = 32x

32x = 256

divide both sides by 32

x = 256/32

x = 8

Therefore the number of drums sold is 8

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The median of the given data set as required to be determined in the task content is; 4.

It follows from the task content that the value which represents the median of the data set is to be determined.

By observation, the number of data values in the data set is; 15. On this note, the median value would be the eighth term in an orderly arrange of the values.

Consequently, the median of the data set as required is; 4.

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Answer:

Part A:

[tex]d = \sqrt{ {9}^{2} + {40}^{2} } = \sqrt{81 + 1600} = \sqrt{1681} = 41[/tex]

The bat will not fit across the diagonal formed by the bottom corners of the box. That diagonal measures 41 inches, whereas the baseball bat is 41.5 inches long.

Part B:

[tex]d = \sqrt{ {9}^{2} + {9}^{2} + {40}^{2} } = \sqrt{81 + 81 + 1600} = \sqrt{1762} = 41.98[/tex]

The bat will fit across the diagonal formed by the bottom corner and the top corner of the box. That diagonal measures about 42 inches, which is slightly longer than the baseball bat's length of 41.5 inches.

Answer:

41.762 inches

Step-by-step explanation:

therefore the length of the diagonal is 41.762 in

The sum of t+4/t+5 and 9/t-1 with a common denominator is (t²+12t+41)/[(t+5)(t-1)].

To find a common denominator for the given expressions t+4/t+5 and 9/t-1, we need to determine the least common multiple (LCM) of the denominators (t+5) and (t-1):

The prime factorization of t+5 is (t+5).

The prime factorization of t-1 is (t-1).

Therefore, the LCM is (t+5)(t-1).

To convert t+4/t+5 into an equivalent fraction with the denominator (t+5)(t-1), we multiply both the numerator and denominator by (t-1):

t+4/t+5 = (t+4)(t-1)/[(t+5)(t-1)] = (t²+3t-4)/[(t+5)(t-1)]

To convert 9/t-1 into an equivalent fraction with the denominator (t+5)(t-1), we multiply both the numerator and denominator by (t+5):

9/t-1 = 9(t+5)/[(t+5)(t-1)] = (9t+45)/[(t+5)(t-1)]

Now both fractions have the same denominator, so we can add them:

(t²+3t-4)/[(t+5)(t-1)] + (9t+45)/[(t+5)(t-1)] = (t²+3t-4+9t+45)/[(t+5)(t-1)]

Simplifying the numerator gives:

t²+12t+41

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