For each solution, write a different equation with that solution.
1. C=6
2. C=0.1

Order of the operations: parentheses, exponentials, division and multiplication, addition and subtraction.

1. Solve operations in parentheses:

2. Solve exponentials:

3. Solve division:

4. Solve multiplication:

5. Solve subtraction:

Answer: Answer is 20( please make me brainliest i just did this all in my head)

Step-by-step explanation: soo (14-2) =12  12divided by 3=4 so (2*3)= 6 so 4x6=24 24-2*2 =20 (2*2)=4 so 24-4=20 well this is confusing but i tried my best so hope my answer wasn't toooo confusing lol :)

Answer:

The rate of change of the function is 9

Step-by-step explanation:

Mathematically, the rate of change of the function refers to the slope of the line that passes through the given points

Thus, we use the slope equation as follows;

m = (y2-y1)/(x2-x1)

(x1,y1) = (6,6)

(x2,y2) = (7,15)

Substituting these values, we have

m = (15-6)/(7-6) = 9/1 = 9

The value of dy/d in this case represents the rate of change in the monthly budget required to maintain a constant production level of CDs.

When w100 and y 120,000, dy/d can be computed by taking the partial derivative of the given equation with respect to y: dy/d = -0.64/x. Plugging in the given values, we get dy/d = -0.0064.

1. If the monthly budget is increased by $1, Snappy Hardware can manufacture 0.0064 fewer CDs per hour while maintaining the same number of workers.

2. If the number of workers is increased by 1, Snappy Hardware can manufacture an additional 0.0064 CDs per hour while maintaining the same monthly budget.

3. If Snappy Hardware wants to maintain a constant production level of CDs, they need to decrease their monthly budget by $156,250 for every 10,000 CDs they want to produce per hour.

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Answer:

The answer is 15 and 10

Step-by-step explanation:

The general solution to the given differential equation is z(t) = C1*\(e^{(3t)}\) + C2*\(e^{(-3t)}\)

The given differential equation is a second-order linear homogeneous differential equation, which can be written as:

z'' + z' - 9z = 0

To find the general solution, we first need to solve the characteristic equation:

\(r^2\) + r - 9 = 0

By factoring or using the quadratic formula, we find the roots r1 and r2:

r1 = 3
r2 = -3

Since we have two distinct real roots, the general solution of the differential equation is:

z(t) = C1 * \(e^{(r1t)}\) + C2 * \(e^{(r2t)}\)
z(t) = C1 * \(e^{(3t)}\) + C2 * \(e^{(-3t)}\)

where C1 and C2 are arbitrary constants determined by initial conditions.

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Answer:

c

Step-by-step explanation:

answer:

choose A

choose B

The assumptions in each case of this statistics problem is given as follows:

ts < tc Do not reject H0

P value > α Do not reject H0

There is insufficient data to determine that the mean scores of the two groups of pupils differ.

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Answer:

5 minutes or 1/12 of an hour.

Step-by-step explanation:

3/4 of an hour is 45 minutes.

2/3 of an hour is 40 minutes.

45-40 = 5 minutes or 1/12 of an hour.

Answer:

i believe it's a-dilation by a scale factor of 2 and a rotation of 90(degrees) clockwise about the origin.

Step-by-step explanation:

hope this helps u, sorry if it doesn't.

Answer:

probably dilation by a scale factor of 2 and a rotation

of 90° counter-clockwise about the origin

Step-by-step explanation:

Thus, we need a sample size of at least 22 to obtain a 90 percent confidence interval for the mean protein content of meat with an estimate within 2 pounds of the true mean value.

To obtain a 90 percent confidence interval for the mean protein content of meat with an estimate within 2 pounds of the true mean value, we need to calculate the required sample size. The formula for the required sample size is:

n = (Zα/2 * σ / E)^2

where n is the required sample size, Zα/2 is the z-score for the desired confidence level (in this case 90%), σ is the standard deviation of the population (in this case 7 pounds, the square root of the variance), and E is the margin of error (in this case 2 pounds).

Plugging in the values, we get:

n = (1.645 * 7 / 2)^2
n = 21.16

Therefore, we need a sample size of at least 22 to obtain a 90 percent confidence interval for the mean protein content of meat with an estimate within 2 pounds of the true mean value. It is important to note that this assumes that the sample is drawn randomly and is representative of the population.

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Answer:

a) 252 square feet

Surface area of triangular prism = 252 square feet

Step-by-step explanation:

Explanation:-

Given diagram  Base = 3 feet

Height of the triangular = 4 feet

The slant height of triangular prism 'l' =20 feet

The hypotenuse of the triangle 'c' = 5 feet

prism base area 'p' = h+b+c =  = 4 +3+5 =12

Surface area of triangular prism

                         =  

                          = b h + p l

                          = 3 ×4 + 12×20

                         = 252 square feet

Final answer:-

Surface area of triangular prism = 252 square feet

Step-by-step explanation:

Answer:

a) 252 square feet

Surface area of triangular prism = 252 square feet

Step-by-step explanation:

Explanation:-

Given diagram  Base = 3 feet

Height of the triangular = 4 feet

The slant height of triangular prism 'l' =20 feet

The hypotenuse of the triangle 'c' = 5 feet

prism base area 'p' = h+b+c =  = 4 +3+5 =12

Surface area of triangular prism

                        =  

                         = b h + p l

                         = 3 ×4 + 12×20

                        = 252 square feet

Final answer:-

Surface area of triangular prism = 252 square feet

Step-by-step explanation:

(a) When performing an ANOVA with the data the alternative hypothesis is at least two of the restaurants have different mean delivery times.

(b)75.8

Analysis of variance. or ANOVA, is a statistical method that separate observed variance data into different components to use for additional tests. A one way ANOVA is used for three or more groups of data, to gain information about the relationship between the dependent and independent variables.

The ANOVA table shows how the sum of squares are distributed according to source of variation, and hence the mean sum of squares.

It is given that a pizza lover wants to compare the average delivery times.

Therefore the null hypothesis and alternate hypothesis implies that,

H₀ =  all restaurants have equal mean delivery time

Hₐ = at least two restaurants have different two deliveries

Hence the alternate hypothesis for performing an ANOVA with the data is at least two of the restaurants have different mean delivery times.

The alternate hypothesis (Hₐ) defines that there is a statistically important relationship between two variables. Whereas null hypothesis states that is no statistical relationship between the two variables.

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See attachment for math work and answer.

Answer: #x^3

Step-by-step explanation:

        x^3

note: An algebraic expression doesn't have an equal sign (=)

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The distance between the points G(-9, 6) and Q(-2, 1) in the coordinate plane is approximately 8.6.

To calculate the distance between two points in a coordinate plane, we can use the distance formula. The distance formula is derived from the Pythagorean theorem and can be stated as follows:
Distance = sqrt((x2 - x1)^2 + (y2 - y1)^2)
In this case, the given points are G(-9, 6) and Q(-2, 1).
Step 1: Identify the coordinates of the two points.
G has coordinates (-9, 6) and Q has coordinates (-2, 1).
Step 2: Substitute the coordinates into the distance formula.
Using the distance formula, we can plug in the values as follows:
Distance = sqrt((-2 - (-9))^2 + (1 - 6)^2)
Simplifying the formula:
Distance = sqrt((7)^2 + (-5)^2)
Distance = sqrt(49 + 25)
Distance = sqrt(74)
Step 3: Calculate the square root.
Taking the square root of 74, we get:
Distance ≈ 8.6
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Using the given graph of f(x) = x to find a number δ such that if |x − 4| < δ then x − 2 < 0.4, we can say that if |x - 4| < δ, where δ = 0.4, then x - 2 < 0.4.

Let's define the function f(x) = x and use the given graph of the function to find the value of δ, such that if |x - 4| < δ then x - 2 < 0.4. Let's take a look at the graph given below: Now, let's take the two points on the graph such that the vertical distance between the points is 0.4.The points are (4, 4) and (4.4, 4.4).

From the graph, we can see that if x < 4.4, then the function f(x) will have a value less than 4.4, which means that x - 2 will be less than 0.4.Therefore, we can say that if |x - 4| < δ, where δ = 0.4, then x - 2 < 0.4.

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Answer:

Step-by-step explanation:

4+6+7+7+11+12+15+18+20= 100

divide by the number of values we have. we have 9 values

100/9=11.1111111111

I hope this helped

at first add all the number and divide it by how many numbers are there

4+6+7+7+11+12+15+18+20

= 100

now

divide

100÷ 9

11.1

Answer:

bananas=$12.72

grapes=$9.48

oranges=$5.85

apples=$5.36

Step-by-step explanation:

To find the total cost for each fruit you would multiply the number of fruit by the cost.

bananas=3*4.24=$12.72

grapes=4*2.37=$9.48

oranges=3*1.95=$5.85

apples=2*2.68=$5.36

The probability that both randomly selected voters are Democrats is approximately 0.123.

To find the probability that both randomly selected voters are Democrats, we can use the concept of independent events.

Given that 35% of all voters in the town are Democrats, the probability of selecting a Democrat for the first voter is 0.35. Since the events are independent, the probability of selecting another Democrat for the second voter is also 0.35.

To calculate the probability that both events occur, we multiply the probabilities together:

Probability of both voters being Democrats = 0.35 * 0.35 = 0.1225

Rounding to the nearest thousandth, the probability that both randomly selected voters are Democrats is approximately 0.123.

Therefore, the probability that both voters selected for the survey are Democrats is approximately 0.123 or 12.3% (rounded to the nearest thousandth).

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Answer:

Graph F

Step-by-step explanation:

The image is quite blurry.

But since in the equation there is no equal to \(\leq\) symbol and the absolute value of x is greater than ten, Graph F seems to be the best option.

Answer:

graph f

Step-by-step explanation:

An operating characteristic curve is based on a(n) binomial distribution probability.

According to the statement

we have given that the an operating characteristic curve and we have to tell the name of the probability based on the this curve is called.

So, For this purpose, we know that the

The binomial distribution is a probability distribution that summarizes the likelihood that a value will take one of two independent values under a given set of parameters or assumptions.

And in this type of probability, it is given by a characteristics curve and The binomial distribution model allows us to compute the probability of observing a specified number of "successes" when the process is repeated

So, this is called the binomial distribution probability.

So, An operating characteristic curve is based on a(n) binomial distribution probability.

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Answer: the range of surveyed students that agreed with the statement is between 82.3% and 89.7%.

Step-by-step explanation: The present study's margin of error has been estimated as ±3.7%. This indicates that the reported proportion of 86% of students who concurred with the statement may exhibit a margin of error of ±3.7%, encompassing potential values lower or higher than the reported percentage figure.

To ascertain the range of students surveyed who assented to the given statement, it is essential to ascertain the uppermost and lowermost attainable percentages that the factual percentage could reveal.

The maximum attainable percentage is equivalent to the sum of 86% and 3.7%, which yields a total of 89.7%.

The minimum percentage attainable has been calculated to be 82.3% by subtracting 3.7% from the initial value of 86%. Such a formulation adheres to the precision and technical accuracy expected in academic writing.

\(\text{To get the total surface area, all we have to do is multiply } 18 \text{ by } 12, \text{which gets us}\)\($18\cdot12 = \boxed{216\text{ ft}^2}\).

\(\text{So, our answer is } \boxed{216\text{ ft}^2}.\)

Larry needs 216 square feet of carpeting for her rectangular living room.

To find the amount of carpeting Larry needs, we need to calculate the area of her rectangular living room. The area of a rectangle can be found by multiplying its length by its width. In this case, the length of the living room is 18 feet and the width is 12 feet.

So, the area of the living room is:

Area = Length * Width

Area = 18 feet * 12 feet

Area = 216 square feet

Therefore, Larry needs 216 square feet of carpeting for her living room.

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When we have a normal model for the sampling distribution, we cannot say that a sample mean or sample proportion is approximately 2 standard errors (ses) away from the population mean or the true proportion.

Instead, we can say that 95% of the sample proportions fall within two standard errors of the population proportion. Similar to this, the percentage of sample proportions decreases as the standard error distance decreases and increases as the standard error distance increases.

Therefore, the standard error distance will be greater than 2 standard errors (ses) if 99% of the sample proportions are within a given standard error distance of the population proportion.

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1. Linear independence:
Suppose we have a linear combination of elements in S1 equal to the zero vector:
a1(cv1) + a2(cv2) + ... + an(cvn) = 0
Since c is a nonzero scalar, we can factor it out:
c(a1v1 + a2v2 + ... + anvn) = 0
Since S is a basis for V, it is linearly independent, and this linear combination implies that a1 = a2 = ... = an = 0. Therefore, S1 is also linearly independent.

2. Spanning V:
Given any vector v in V, we know that v can be expressed as a linear combination of the vectors in S since S spans V:
v = b1v1 + b2v2 + ... + bnvn
Now, multiply both sides by the nonzero scalar c:
cv = (cb1)(cv1) + (cb2)(cv2) + ... + (cbn)(cvn)
This expression shows that cv can be formed as a linear combination of the vectors in S1. Since c is a nonzero scalar, every vector in V can be obtained by a linear combination of vectors in S1, so S1 spans V.

To prove that S1 = {cv1, cv2, …, cvn} is also a basis for V, we need to show that S1 is linearly independent and spans V.

First, we will show that S1 is linearly independent. Suppose there exist scalars a1, a2, …, an such that
a1(cv1) + a2(cv2) + … + an(cvn) = 0

Multiplying both sides by c, we get
(ca1)v1 + (ca2)v2 + … + (can)vn = 0
Since S is a basis for V, it is linearly independent. Therefore, the only solution to the above equation is a1 = a2 = … = an = 0. This implies that S1 is also linearly independent.

Next, we will show that S1 spans V. Let v be any vector in V. Since S is a basis for V, we can express v as a linear combination of its elements:
v = b1v1 + b2v2 + … + bnvn
Multiplying both sides by c, we get
cv = (cb1)cv1 + (cb2)cv2 + … + (cbn)cvn

This implies that S1 spans V.
Therefore, we have shown that S1 = {cv1, cv2, …, cvn} is a basis for V.

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Answer:

A) Equation

Step-by-step explanation:

Compared to an equation (ex. \(y=mx+b\)) and the domain (ex. ℝ) of a function, a large graph or data table with multiple rows cannot be considered compact, so eliminate C) and D). Although the domain may seem more compact than an equation, it does not completely represent a function like an equation, so eliminate B). The answer is A) Equation.

a. Own Price Elasticity of Demand = (-30) / (0) = undefined. Since the own price elasticity of demand is undefined, we cannot determine if the demand is elastic, inelastic, or unitary elastic based on this information.

b. Cross-Price Elasticity of Demand = (12/7) / 0 = undefined. Since the cross-price elasticity of demand is undefined, we cannot determine if goods X and Y are substitutes or complements based on this information.

c. Income Elasticity of Demand = (-2860.71) / (0) = undefined. Since the income elasticity of demand is undefined, we cannot determine if good X is a normal or inferior good based on this information.

d. We cannot calculate the own advertising elasticity of demand with the provided data.

a. To determine the own price elasticity of demand, we need to use the formula:

Own Price Elasticity of Demand = (% Change in Quantity Demanded) / (% Change in Price)

Given the demand equation OX​d​ = 7−15PX​+2Py​+0.5M+A, we can calculate the derivative of demand with respect to price:

d(OX​d​) / d(PX​) = -15

Now, let's plug in the values:

% Change in Quantity Demanded = (d(OX​d​) / d(PX​)) * (PX​ / OX​d​) = (-15) * (15 / 7) = -30

% Change in Price = (ΔPX​ / PX​) = (15 - 15) / 15 = 0

b. To determine the cross-price elasticity of demand between goods X and Y, we use the formula:

Cross-Price Elasticity of Demand = (% Change in Quantity Demanded of Good X) / (% Change in Price of Good Y)

Using the same demand equation, we calculate the derivative of demand with respect to the price of good Y:

d(OX​d​) / d(Py​) = 2

Now, let's plug in the values:

% Change in Quantity Demanded of Good X = (d(OX​d​) / d(Py​)) * (Py​ / OX​d​) = (2) * (6 / 7) = 12/7

% Change in Price of Good Y = (ΔPy​ / Py​) = (6 - 6) / 6 = 0

c. To determine the income elasticity of demand, we use the formula:

Income Elasticity of Demand = (% Change in Quantity Demanded) / (% Change in Income)

Using the same demand equation, we calculate the derivative of demand with respect to income:

d(OX​d​) / d(M) = 0.5

Now, let's plug in the values:

% Change in Quantity Demanded = (d(OX​d​) / d(M)) * (M / OX​d​) = (0.5) * (-40000 / 7) = -2860.71

% Change in Income = (ΔM / M) = (-40000 - (-40000)) / (-40000) = 0

d. The own advertising elasticity of demand measures the responsiveness of quantity demanded to changes in advertising expenditure. Unfortunately, the given demand equation does not provide any information about advertising expenditure or its impact on quantity demanded.

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Another advantage of using Anova is that it arranges the means so the significant differences can be located and interpreted easily.

The ANOVA test is a type of statistical test used to determine whether there is a statistically significant difference between two or more categorical groups by testing mean differences using variance.

Another important part of the ANOVA is the splitting of the independent variables into two or more groups.

The assumptions for the ANOVA test are the same as those for general parametric tests.

Advantages of ANOVA:

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From the given statement, "The price of a Rolex watch in 1964 was $500. Today the price of a Rolex watch is $5,000," we can determine that Rolex watches are more expensive than they were in 1964.

Therefore, the correct option is A. Rolex watches are more expensive than they were in 1964.What is inflation?Inflation refers to the rate at which prices for goods and services rise and, as a result, money loses value. The consumer price index (CPI), which measures the changes in the prices of a basket of goods and services used by households, is the most common measure of inflation.

What is nominal variable?A nominal variable is one in which the values are categories. Nominal variables are qualitative variables, which means they describe a characteristic or attribute of the subject. Examples include gender, race, nationality, and religion.

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