Adam is d years old and Brandon is b
old and Brandon is b years older than Adam.
In how many years will Brandon be twice as old as Adam is now?

The batches that Bonnie can make with all of the pudding that she has is 7.5 batches.

Given that Bonnie is making pudding pops to bring to a picnic tomorrow and she has 3 quarts of pudding, and each batch of pudding pops uses 2/5 of a quart of pudding.

The number of batches that can be made will be gotten by dividing the values. This will be:

= Number of pudding / Amount needed for each batch

= 3 ÷ 2/5

= 3 × 5/2

= 15/2

= 7.5

Therefore, 7.5 batches can be made.

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The first polynomial is-

Remember that the degree of a polynomial is defined by the greatest exponent. So, in this case, the degree is 4.

The standard form refers to the polynomial in the right order.

Therefore, the initial polynomial is not in standard form.

The second polynomial is

The degree of this polynomial is 7.

This polynomial is not in standard form since it's not in the right order.

Answer:

63 cupcakes

Step-by-step explanation:

Answer:

6^5

Step-by-step explanation:

Answer: 6^5

Step-by-step explanation:

Answer:

283

Step-by-step explanation:

Answer: (2x + 3y)^2; m = 2 n = 3

Step-by-step explanation:

another way to write (2x + 3y)^2 is

(2x+3y) (2x+3y) if you FOIL (First, Outsides, Insides, Lasts) you will get

4x^2 + 6xy + 6xy + 9y^2

= 4x^2 + 12xy + 9y^2

Answer:

Step-by-step explanation:

To find:-

Answer:-

We are given a equation,

\(\longrightarrow (mx+ny)^2 = 4x^2+12xy+9y^2  \\\)

Consider the LHS ,

\(\longrightarrow (mx+ny)^2 \\\)

We can expand it using an indentity ,

Identity:-

\(\longrightarrow \boxed{ (a+b)^2=a^2+b^2+2ab}\\\)

So we have;

\(\longrightarrow (mx)^2+(ny)^2+2(mx)(ny) = 4x^2+12xy + 9y^2  \\\)

Simplify,

\(\longrightarrow  m^2(x^2) + n^2(y^2) + 2xy(mn) = 4x^2+12xy + 9y^2\\\)

On comparing the respective terms , we have;

Simplify and solve for m and n as ,

\(\longrightarrow m =\sqrt{4} =\boxed{2}\\\)

\(\longrightarrow n =\sqrt{9} =\boxed{3} \\\)

Hence the value of m is 2 and that of n is 3 .

The statement that shows equivalent measurements is "52 meters = 520 decimeters." Option C.

To determine the equivalent measurements, we need to understand the relationship between different metric units.

In the metric system, each unit is related to others by factors of 10, where prefixes indicate the magnitude. For example, "deci-" represents one-tenth (1/10), "centi-" represents one-hundredth (1/100), and "kilo-" represents one thousand (1,000).

Let's analyze each statement:

5.2 meters = 0.52 centimeters: This statement is incorrect. One meter is equal to 100 centimeters, so 5.2 meters would be equal to 520 centimeters, not 0.52 centimeters.

5.2 meters = 52 decameters: This statement is incorrect. "Deca-" represents ten, so 52 decameters would be equal to 520 meters, not 5.2 meters.

52 meters = 520 decimeters: This statement is correct. "Deci-" represents one-tenth, so 520 decimeters is equal to 52 meters.

5.2 meters = 5,200 kilometers: This statement is incorrect. "Kilo-" represents one thousand, so 5.2 kilometers would be equal to 5,200 meters, not 5.2 meters.

Based on the analysis, the statement "52 meters = 520 decimeters" shows equivalent measurements. So Option C is correct.

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Note the correct and the complete question is

Select the statement that shows equivalent measurements.

A.) 5.2 meters = 0.52 centimeters

B.) 5.2 meters = 52 decameters

C.) 52 meters = 520 decimeters

D.) 5.2 meters = 5,200 kilometers

Answer:

A: Adjacent angles

Answer:

A. adjacent

Step-by-step explanation:

f(x)=x²−4x−21

The degree is the biggest power of x.  That's a polynomial of degree 2, also called a quadratic function.  Let's find its zeros.

0 = x²−4x−21 = (x - 7)(x+3)

x=7 or x=-3

The fundamental theorem guarantees every non-constant polynomial with complex coefficients has a complex zero, let's call it r.  If we divide the polynomial by x-r there won't be any remainder and we'll get a new polynomial, one degree less.  The fundamental theorem again applies and (if it's not a constant polynomial) we are assured of another zero, s.  We divide by x-s and get a new polynomial of degree one less.  We repeat all this until we get a constant polynomial (degree zero).    So we get a zero for every degree. They're not necessarily all different.

Answer:

The degree of f(x) is 2. The Fundamental Theorem of Algebra guarantees that a polynomial equation has the same number of complex roots as its degree. This means that f(x) has exactly 2 zeros. Those zeros are 7 and -3.

Answer:

I got uuu

I got 36+3x

u just gotta mutiply the 3 to both the 8 and x making 24+x then u put the 12 then I got the equation 24+x+12 then add like numbers so the only onea u got are 12 and 24 which make 36 and left with 3x so ur solution is 36+3x

A range of values used to estimate the true value of a population parameter is a B. confidence interval.

A confidence interval is a range of values that is used to estimate the true value of a population parameter, such as a population mean or proportion. It provides a range of plausible values within which the true parameter value is likely to fall, based on a sample from the population. The confidence interval is constructed based on the sample data and takes into account the variability in the data and the desired level of confidence. It is an important statistical tool that helps in making inferences about population parameters with a certain degree of certainty.

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9514 1404 393

Answer:

  q/2, p, q

Step-by-step explanation:

You know the area of a triangle is half the product of base and height. The two triangles of interest here have base length p and height q/2. You're being asked to fill in the missing base or height dimension.

  \(=\dfrac{1}{2}\times p \times\boxed{\dfrac{q}{2}}+\dfrac{1}{2}\times\boxed{p}\times\dfrac{q}{2}\\\\=\dfrac{1}{2}\times p\times\boxed{q}\)

Answer:15

Step-by-step explanation:

Within the third step of the control process, management by exception is a principle that states that managers should be informed of a situation only if data show a significant deviation from standards.

The third step of the process of controlling is to compare the actual performance of the organization with the established standards. By comparing the actual performance with the standards, an organization can determine the deviation between them.

The final step of the control process is the correction of deviations to improve the performance so that in the future it matches with the plan. Establishing standards and methods for measuring performance. Measuring performance. Determine if performance is up to par. take corrective action. The marginal rate of return reduction is set to reduce the factor's marginal rate of return.

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Temperature of refrigerators - Cannot determine. Horsepower of race car engines - Ratio. Marital status of school board members - Nominal. Ratings of television programs - Ordinal. Ages of children enrolled in a daycare - Interval

The level of measurement for the temperature of refrigerators cannot be determined based on the given information. The temperature could potentially be measured on a nominal scale if the refrigerators were categorized into different temperature ranges. However, without further context, it is not possible to determine the specific level of measurement.

The horsepower of race car engines can be measured on a ratio scale. Ratio scales have a meaningful zero point and allow for meaningful comparisons of values, such as determining that one engine has twice the horsepower of another.

The marital status of school board members can be measured on a nominal scale. Nominal scales are used for categorical data without any inherent order or ranking. Marital status categories, such as "married," "single," "divorced," etc., can be assigned to school board members.

The ratings of television programs, such as "poor," "fair," "good," and "excellent," can be measured on an ordinal scale. Ordinal scales represent data with ordered categories or ranks, but the differences between categories may not be equal or measurable.

The ages of children enrolled in a daycare can be measured on an interval scale. Interval scales have equal intervals between values, allowing for meaningful differences and comparisons. Age, measured in years or months, can be represented on an interval scale.

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The probability that the mean annual salary of a random sample of 64 teachers from state X is less than $52,000 is approximately 0.005 or 0.5%.

The sampling distribution of the mean is normally distributed with a mean equal to the population mean and a standard deviation equal to the population standard deviation divided by the square root of the sample size.

Here, we are given that the population mean is $54,000 and the population standard deviation is $5,000. We are also told that the sample size is n = 64.

To find the probability that the mean annual salary of a random sample of 64 teachers is less than $52,000, we need to standardize the sample mean using the sampling distribution of the mean.

Z = (x' - μ) / (σ / √n)

where x' is the sample mean, μ is the population mean, σ is the population standard deviation, and n is the sample size.

Substituting the given values, we get:

Z = (52,000 - 54,000) / (5,000 / √64)

= -2.56

We can then look up the probability of a standard normal variable being less than -2.56 using a standard normal table or calculator, which gives us a probability of approximately 0.005.

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Complete question is:

The annual salary of teachers in a certain state X has a mean of $54,000 and standard deviation of σ = $5,000. What is the probability that the mean annual salary of a random sample of 64 teachers from this state is less than $52,000?

The probability that Marshall wins a prize on his second spin =  0.1875

Consider an event X = the number of spins until Marshall wins a prize.

Given that a prize wheel with 4 segments of equal size, one of which is labeled winner.

So, the sample space n = 4

For given event x, the possible outcomes = 1

Using the formula of probability,

p = x/n

p = 1/4

p = 0.25

So, the probability of success p = 0.25

q = 1 - p

q = 1 - 0.25

q = 0.75

To find the probability that Marshall wins a prize on his 2nd spin.

Using formula, \(P(X = k) = (1 - p)^{k-1}p\)

For  k = 2,

\(P(X = 2) = (1 - 0.25)^{2-1}\times 0.25\)

P(X = 2) = 0.75 × 0.25

P(X = 2) = 0.1875

Thus, the required probability is  0.1875

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The formula for calculating the effective annual rate of interest with quarterly compounding is:

(1 + r/4)^4 - 1 = A/P

where r is the quarterly interest rate, A is the final amount, and P is the principal.

In this case, P = $2,000, A = $3,000, and the time period is 7 years or 28 quarters.

So we have:

(1 + r/4)^4 - 1 = 3000/2000

(1 + r/4)^4 = 1.5

1 + r/4 = (1.5)^(1/4)

r/4 = (1.5)^(1/4) - 1

r = 4[(1.5)^(1/4) - 1]

To get the effective annual rate, we need to convert the quarterly rate to an annual rate by multiplying by 4:

effective annual rate = 4[(1.5)^(1/4) - 1] ≈ 8.84%

Therefore, the effective annual rate of interest at which $2,000 will grow to $3,000 in seven years if compounded quarterly is approximately 8.84%, rounded to 2 decimal places.

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a 16-ft. ladder is leaning against a house. the ladder angle of elevation is 470, the distance between the wall and the foot of the ladder is 10.991ft.

Given ,

Length of the ladder is 16ft

Angle of elevation is 47 degree

To calculate the distance between the wall and the foot of the ladder

Cos thete = BC/AC

Cos 47 deg = BC / 16

16*0.6819 = BC

BC = 10.911 ft

Therefore , the distance between the wall and the foot of the ladder is 10.991ft

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Answer:

Choice D. \(F(x)=x^2-4\)

Step-by-step explanation:

Answer:

Perimeter = 36

Area = 81

Step-by-step explanation:

Perimeter of a square is side length * 4.

9*4 = 36

Area of a square is L*L,

9*9 = 81

We are given a matrix A and a scalar λ and asked to show that λ is an eigenvalue of the matrix and determine a basis for its eigenspace.

To determine if λ is an eigenvalue of matrix A, we need to check if there exists a non-zero vector v such that Av = λv. In other words, if multiplying matrix A by vector v results in a scaled version of v. Given the matrix A = [6, 9; -10, 63] and scalar λ = 5, we can find the eigenvectors by solving the equation (A - λI)v = 0, where I is the identity matrix. Substituting the values, we have: [6-5, 9; -10, 63-5]v = 0. Simplifying the equation, we get: [1, 9; -10, 58]v = 0. Solving the system of linear equations, we can find the eigenvectors v corresponding to the eigenvalue λ = 5.

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The probability that a student is studying physics, given the student is studying Spanish is 39.9%

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

Sample size, n = 1650

Spanish = 948

Physics = 426

Physics and Spanish = 378

We can use the formula for conditional probability to solve this problem:

P(Physics | Spanish) = P(Physics and Spanish) / P(Spanish)

So, we have

P(Physics | Spanish) = (378/1650) / (948/1650)

Evaluate

P(Physics | Spanish) = 39.9%

HEnce, the probability is 39.9%

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Answer:

1) 3/5

2) 20

3) 60%

Step-by-step explanation:

1) If 3 out of the 5 cats are ginger, that is your fraction with the total cats being the denominator.

2) You will then find out what number makes 100 when multiplied by 5. That number being 20.

3) With the denominator being 100, you would also multiply the numerator, and 3 × 20 is 60, so it would be 60/100, or 60%

Answer:

Step-by-step explanation:

Given that Zahra has 5 cats. 3 of those cats are ginger. We could also express that statement as, "3 out of 5 cats are ginger."  

Note: 3/5 = 60/100 = 0.60 = 60%

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Answer:

j = 38

Step-by-step explanation:

\(\frac{j}{-2} + 7 = -12\)

subtract 7 on both sides:

\(\frac{j}{-2} + 7 - 7 = -12 - 7\)

\(\frac{j}{-2} = -19\)

multiply -2 on both sides:

\(\frac{j}{-2}\) x -2 = -19 x -2

j = 38

To find the P-value, we need to find the probability of getting a test statistic less than or equal to the -1.38 under a null hypothesis.

Using a standard normal distribution table or calculator, we find that the area to the left of -1.38 is 0.0844.

Therefore, the P-value is 0.0844.

To decide whether to reject the null hypothesis at a significance level of α = 0.05, we compare the P-value to α. Since the P-value (0.0844) is greater than α (0.05), we fail to reject the null hypothesis. We do not have enough evidence to support the alternative hypothesis at the 0.05 level of significance.

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Answer:

30 i think please be right

Answer:

its 30

Step-by-step explanation: