A rectangle has a height of xxx and a width of 7x-47x−47, x, minus, 4.
Express the area of the entire rectangle.

The equivalent expression for 1.5 cubed over 1.3 raised to the fourth power all raised to the power of negative six is 1.5 to the eighteenth power over 1.3 to the twenty-fourth power.

Here are the steps to simplify the expression:

Apply the negative power rule: (1.5 cubed over 1.3 raised to the fourth power) raised to the power of negative six is equal to (1.3 raised to the fourth power over 1.5 cubed) raised to the power of six.

Apply the power of a quotient rule: (1.3 raised to the fourth power over 1.5 cubed) raised to the power of six is equal to (1.3 raised to the fourth power)⁶ / (1.5 cubed)⁶.

Apply the power of a power rule: (1.3 raised to the fourth power)⁶ is equal to 1.3(⁴*⁶) = 1.3²⁴.

Apply the power of a power rule: (1.5 cubed)⁶ is equal to 1.5(³*⁶) = 1.5¹⁸.

Therefore, the equivalent expression is 1.5¹⁸ / 1.3²⁴.

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Answer:

Booker:  $103.50 profit

Finley:  $34.50 profit

Step-by-step explanation:

b = # of candles Booker sold

f = # of candles Finley sold

1)  b = 3f

2) f = b - 12    substitute b=3f into this equation to get an expression all in terms of f, then solve for f

f = 3f - 12

-2f = -12

f = -12/2 = 6    now plug this into either equation and solve for b

b = 3(6) = 18

Booker:  18 candles x $5.75 profit/candle = $103.50 profit

Finley:  6 candles x $5.75 profit/candle = $34.50 profit

Option c) The centers will roughly be equal, and the variability of simulation A will be less than the variability of simulation B

According to the information given in the question,

A true proportion of 0.325 represents that the two simulations will be conducted for sampling proportions from a population

Simulation A -

Sample size - 100

Trials - 1500

Simulation B -

Sample size - 50

Trials - 2000

Now due to the relation of simulation A and simulation B, they are closely equal-

The total sample size of simulation A= 1500 x 100

= 150000

The total sample size of simulation B = 2000 x 50

= 100000

From the above calculations of simulations A and B, we can see that while comparing the,

Sample Size = Simulation A > Simulation B

Variability = Simulation B < Simulation B

Therefore, option c) The centers will roughly be equal, and the variability of simulation A will be less than the variability of simulation B is correct.

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In a recent survey, the proportion of adults who indicated mystery as their favorite type of book was 0.325. Two simulations will be conducted for the sampling distribution of a sample proportion from a population with a true proportion of 0.325. Simulation A will consist of 1,500 trials with a sample size of 100. Simulation B will consist of 2,000 trials with a sample size of 50. Which of the following describes the center and variability of simulation A and simulation B?

A) The centers will roughly be equal, and the variabilities will roughly be equal.

B) The centers will roughly be equal, and the variability of simulation A will be greater than the variability of simulation B.

C) The centers will roughly be equal, and the variability of simulation A will be less than the variability of simulation B.

D) The center of simulation A will be greater than the center of simulation B, and the variability of simulation A will roughly be equal to the variability of simulation B.

E) The center of simulation A will be less than the center of simulation B, and the variability of simulation A will be greater than the variability of simulation B.

Answer: (-2,1)

Step-by-step explanation:

When reflecting over the x-axis, you keep the x-axis and invert the y-axis.

A possible solution for the equation is -5 ± √17/2.

The term quadratic equation is a term that cold be used to be able to describe a polynomial of degree 2. A polynomial of degree 2 is one in which the highest power of the algebraic terms present in the equation is 2.

We can rewrite the equation as;

x^2 + 5x + 2 = 0

Now what we need to do is to solve the quadratic equation and obtain its value.

By solving the quadratic equation as it have been shown in the question above, e can see that one of the solutions of the equation is; negative 5 plus or minus the square root of 17 divided by two.

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Answer:2/12

Step-by-step explanation:

2/12 is the probability of rolling 2 4's in a row.

Double-check the input and review the solution provided by the matrix calculator to ensure accuracy.

The matrix calculator is a useful tool for solving equations involving matrices. To find the values of the variables in the matrix calculator, follow these steps:

1. Enter the coefficients of the variables and the constant terms into the calculator. For example, if you have the equation 2x + 3y = 10, enter the coefficients 2 and 3, and the constant term 10.

2. Select the appropriate operations for solving the equation. The calculator will provide options such as Gaussian elimination, inverse matrix, or Cramer's rule. Choose the method that suits your equation.

3. Perform the selected operation to solve the equation. The calculator will display the values of the variables based on the solution method. For instance, Gaussian elimination will show the values of x and y.

4. Check the solution for consistency. Substitute the obtained values back into the original equation to ensure they satisfy the equation. If they do, you have found the correct values of the variables.Remember to double-check the input and review the solution provided by the matrix calculator to ensure accuracy.

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The results of dividing 1 into pieces that are each 1/9 of a whole is 9

1 ÷ 1/9

1 ÷ 1/9

= 1 × 9/1

= (1 × 9) / (1 × 1)

= 9/1

= 9

Complete question:

If 1 is divided into pieces that are each 1/9 of a whole, how many pieces are there

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To calculate the hip length of a roof, measure the length of the hip rafter, calculate the run and rise of the hip rafter, and add them together.

Calculating the hip length of a roof requires some measurements of the roof's dimensions. The hip length is the distance from the outside corner of the building to the center of the roof ridge along the outside edge of the hip rafter.

To calculate the hip length, you'll need to know the pitch of the roof and the run and rise of the hip rafter. The run is the horizontal distance from the outside corner of the building to the center of the ridge, and the rise is the vertical distance from the outside corner to the top of the ridge.

It's important to note that the pitch of the roof and the dimensions of the hip rafter may vary depending on the design of the roof. Additionally, the hip length is just one measurement used to calculate the overall size and dimensions of a roof.

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Hello~

The answer is

-8884

Brainliest please!

Ary~

Step-by-step explanation:

\(600 - 9484 \\ = - 8884\)

\(\circ \: \: { \underline{ \boxed{ \sf{ \color{green}{Happy\:learning.}}}}}∘\)

Answer:

Step-by-step explanation:

The p-value can then be determined by comparing the calculated z value to a standard normal distribution with a mean of 0 and a standard deviation of 1.

Let p1 and p2 be the proportions of black renters in Section A and Section B, respectively. If we want to compare the proportions of two independent populations, we can use the two-proportion z procedure to calculate a test statistic and p-value for a hypothesis test.

For a two-sided hypothesis test, the test statistic is given by:

z = (p1 - p2) / SE

Here, SE is the standard error, which is calculated as:

SE = sqrt((p1 * (1 - p1) / n1) + (p2 * (1 - p2) / n2))

In the above formula, n1 and n2 represent the sample sizes for Section A and Section B, respectively.

The null hypothesis for the test is that the two population proportions are equal (p1 = p2), while the alternative hypothesis is that they are not equal (p1 ≠ p2).

To calculate the test statistic, we need to know the values of p1, p2, n1, and n2. Once we have these values, we can calculate SE and use it to compute the value of z. The p-value can then be determined by comparing the calculated z value to a standard normal distribution with a mean of 0 and a standard deviation of 1.

In summary, the two-proportion z procedure allows us to compare the proportions of two independent populations by calculating a test statistic (z) and a corresponding p-value. The test helps us assess whether there is a significant difference between the proportions and provides statistical evidence to support or reject the null hypothesis.

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Now, we can solve for x by forming the equation below:

5x = 70 - 43.75

5x = 26.25

x = 5.25

Therefore, each ticket to the special exhibit cost $5.25.

A mathematical formula that states that two numbers or values ​​are equal is called an equation. For example, 6 x 4 = 12 x 2. Fully understand or explain. 

Let's call the cost of a ticket to the special exhibit "x".

Tyler's dad purchased 5 general admission tickets, each costing $8.75, for a total of 5 * $8.75 = $43.75.

He also bought 5 tickets for the special exhibition. The cost of each is 'x'. So the total cost of those tickets is five times his. 

The problem tells us that the total amount Tyler's dad paid for all the tickets was $70. So, we can set up an equation:

43.75 + 5x = 70

Now, we can solve for x:

5x = 70 - 43.75

5x = 26.25

x = 5.25

Therefore, each ticket to the special exhibit cost $5.25.

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Answer:

Step-by-step explanation:

The sum of angles that form a linear pair is 180°. If angle 1 and angle 2 are a linear pair, then the sum of both angles is equal to 180°.

angle 1 + angle 2 = 180° ... 1

If two angles are vertical angles , this means that both angles are equal.  Therefore if angle 2 and angle 3 are vertical angles, then both angles are equal i. e angle 2 = angle 3 = (5y - 30)°

Given angle 1 = (3y + 10)° and angle 2 = (5y - 30)°

Substituting this angles into equation 1 to get the value of y;

(3y + 10)°+(5y - 30)° = 180°

3y+5y+10-30 = 180

8y-20 = 180

8y = 180+20

8y = 200

y = 200/8

y = 25°

To get the measure of angle 2, we will substitute y = 25° into the equation angle 2 = (5y - 30)°

angle 2 = 5(25) - 30

angle 2 = 125 - 30

angle 2 = 95°

Answer:

3*4=12

Step-by-step explanation:

the answer is 12

Answer:

68 + 7.7 = x

Step-by-step explanation:

The definition of percent helps you write fraction and decimal equivalents by understanding that "per cent" means "per hundred".

For example, if you are asked to write the fraction and decimal equivalent of 25%, you would divide 25 by 100 to get the fractional equivalent of ¼, and divide 25 by 100 to get the decimal equivalent of 0.25.

The decimal equivalent of a fraction or percentage is the numerical value expressed in decimal form. For example, the decimal equivalent of 1/2 is 0.5 and the decimal equivalent of 25% is 0.25. Decimal equivalents are useful for calculations and can be used to convert fractions and percentages into decimal form.

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Answer:

108

Step-by-step explanation:

If Dale has a constant rate that means no matter how many hours, every hour he mows he will mow 18 miles. He mowed for 6 hours, so all you have to do is multiply 6*18, and your answer is 108 miles.

Answer:

a

Step-by-step explanation:

18 divded by 6 is 3

The solutions to the equation are x= -9 and x = 6

From the information given, we have that;

|x2 + 9x| = 6x + 54

To solve the quadratic equation, collect the like terms, we have;

x² + 9x - 6x = 54

subtract the terms

x² + 3x = 54

Put in standard form

x² + 3x - 54 = 0

Find the pair factors of -54 that add up to give 3 and substitute the values

x² + 9x - 6x - 54 = 0

group in pairs

(x² + 9x) - (6x - 54) = 0

factorize the expressions

x(x + 9) - 6(x + 9) = 0

Then, we have;

x- 6 = 0

x = 6

x + 9 = 0

x = -9

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A function that represents this situation of selling 3 duct tape wallet per day out of of 160 duct tapes wallets produced is

Information from the problem

You have made 160 duct tape wallets to sell

If you sell 3 each day

From the information we can deduce that

assuming amount left is y and the number of days x the  we have

y = 160 - 3x

Therefore we can say that the expression to represent the situation of selling 3 duct tape wallet per day is  y = 160 - 3x

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The list that gives the sample space for pulling 2 marbles from the bag with replacement is given as follows:

List 4.

A sample space is a set that contains all possible outcomes in the context of an experiment.

The fact that the experiment is with replacement means that for each of the two marbles, there are two possible outcomes.

Then, applying the Fundamental Counting Theorem, the total number of outcomes is given as follows:

4 x 4 = 16.

This means that the correct list is either the list 3 or the list 4.

As there is replacement, it is possible to take two purple marbles, even though there is only one purple marble, as the same can be taken with replacement, and thus the correct list is given by list 4.

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Answer: List 4

Step-by-step explanation: This answer is here to confirm the other answer. It got me 100% on my test.

Also I know the right answer because I got it right

So good luck on y'all's math tests :)

Here is some proof that the answer is List 4

The conversion is 0.785 radian = 141.3 degree.

The same attribute is expressed using a unit conversion, but in a different unit of measurement. For instance, time can be expressed in minutes rather than hours, and distance can be expressed in kilometres, feet, or any other measurement unit instead of miles.

A conversion factor is a value or a number that is used to multiply or divide one set of units into another.

Given:

We have to convert 0.785 rad to pi format.

As, we know Radians = Degrees × π/180'

and, 0.785 rad = 0.785 x 180

                        = 141.3 Degree

Hence, the conversion is 0.785 radian = 141.3 degree.

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i.e. a² + b² = c²

Answer: Choice B) Investment decreases by 3% each month

=====================================================

Explanation:

We won't use the value 2500 at all.

The base of the exponential is 0.97

Set this equal to 1+r and solve for r

1+r = 0.97

r = 0.97-1

r = -0.03

The negative r value indicates we have exponential decay, so the value of the investment decreases by 3% each month.

Let's say you had $100 to start off. This would mean the investment would be worth $97 after one month is up.

For the given statement, we have to correctly rejecting the null hypothesis.

According to the statement

we have to find the outcome when hypothesis test evaluating a treatment that has a very large and robust effect.

For this purpose, we know that the

A hypothesis is a testable statement about the relationship between two or more variables or a proposed explanation for some observed phenomenon.

And according to the given statement it is clear that the by this we have to rejected this hypothesis.

because this treatment and the large effects are not possible for the independent values of the hypothesis.

In other words, we can say that the we have to correctly rejecting the null hypothesis.

So, For the given statement, we have to correctly rejecting the null hypothesis.

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Answer:

Look in picture

Step-by-step explanation:

Functions can be represented on graph and as equation.

The function is given as:

\(f(x) = 26.4x + 54.4\)

(a) The graph, domain and range

See attachment for the graph of \(f(x) = 26.4x + 54.4\)

The function represents years from 1998 to 2001.

This means that:

\(x = 0\) in 1998 and \(x =3\) in 2001

So, the domain is: \([0, 3]\)

From the graph;

\(x = 0 \to f(x) = 54.4\)

\(x = 3 \to f(x) = 133.6\)

So, the range is \([54.4,133.6]\)

(b) Number of hours spent in 2000

First, we calculate x.

\(x = 2000 - 1998\)

\(x =2\) i.e. 2 years since 1998

So, we have:

\(f(x) = 26.4x + 54.4\)

\(f(2) =26.4 \times 2 + 54.4\)

\(f(2) =107.2\)

(c) When people starts to spend 120 hours.

We have:

\(f(x) = 26.4x + 54.4\)

Substitute 120 for f(x)

\(120 = 26.4x + 54.4\)

Collect like terms

\(26.4x = 120 - 54.4\)

\(26.4x = 65.6\)

Solve for x

\(x = \frac{65.6}{26.4}\)

\(x = 2.48\)

Round 2.48 to the smallest integer greater than 2.48

\(x = 3\)

This represents the number of years, since 1998.

So, the actual year is:

\(Year =1998 + 3\)

\(Year = 2001\)

Hence, people spend about 120 hours per year in 2001

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If xn>0 for all nN, and lim (xn)=0, then lim(√(xn))=0

We know that the limit of a sequence is unique. Since lim(xn) = 0, we have that for every ε > 0, there exists an N ∈ ℕ such that for all n ≥ N, we have |xn - 0| < ε, which implies xn < ε. Now, consider the sequence √(xn). Since xn > 0 for all n ∈ ℕ, we can take the square root of both sides of the inequality xn < ε. This gives us:
√(xn) < √(ε).
Since ε > 0 can be arbitrarily small, it's clear that lim(√(xn)) = 0, as for every ε > 0, there exists an N such that for all n ≥ N, we have √(xn) < √(ε).

Given the conditions that xn > 0 for all n ∈ N and lim(xn) = 0, we have shown that lim(√(xn)) = 0.

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