What is the area of a rectangle with verticles (-1,-4) (-1,6) (3,6) and (3,-4)

The height of the plant after 8 months would be 39 inches.

The plant is currently 15 inches tall and it grows at a rate of 3 inches per month. To find the height of the plant after 8 months, we can use the formula:

Height after n months = Initial height + (Rate of growth × Number of months)

Substituting the given values into the formula, we have:

Height after 8 months = 15 inches + (3 inches/month × 8 months)

Calculating the expression inside the parentheses:

Height after 8 months = 15 inches + (24 inches)

Adding the two values together:

Height after 8 months = 39 inches

Therefore, the height of the plant after 8 months would be 39 inches.

In summary, starting from an initial height of 15 inches, the plant grows 3 inches per month. After 8 months, the height of the plant would be 39 inches.

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Answer:

1/100, or 0.01, or 10^-2

Step-by-step explanation:

Simplify to get 1/10^2

and evaluate to get 1/100 or some the alternative forms (see above)

Answer:

B. 1/2

Step-by-step explanation:

Make 9 an improper fraction, then multiply by -5/6.

-5/6 times 9/1 = -45/6.

-45/6 cannot be simplified, so you make it a mixed number.

-7 1/2.

Add the 7 to -7 1/2 and that cancels out to 1/2

y₁ =  [1  -4  0  1] and y₂ = [5  1  -6  -1] is the orthogonal basis for w using Gram-Schmidt process.

Given,

The set;

x₁ = [1  -4  0  1]

x₂ = [7  -7  -6  1]

We have to produce the orthogonal basis for w using the Gram-Schmidt process;

Here,

y₁ = x₁ =  [1  -4  0  1]

Now,

Solve for y₂

y₂ = x₂ - [x₂y₁ / y₁y₁] y₁

That is,

y₂ = [7  -7  -6  1] - ( [7  -7  -6  1] [1  -4  0  1] / [1  -4  0  1] [1  -4  0  1] ) × [1  -4  0  1]

y₂ =  [7  -7  -6  1] - (7 + 28 - 0 + 1) / (1 + 16 + 0 + 1) × [1  -4  0  1]

y₂ = [7  -7  -6  1]  - 36/18 × [1  -4  0  1]

y₂ =  [7  -7  -6  1] - 2  × [1  -4  0  1]

y₂ =  [7  -7  -6  1] - [2  8  0  2]

y₂ = [5  1  -6  -1]

That is,

The orthogonal basis for w using Gram-Schmidt process is,

y₁ =  [1  -4  0  1] and y₂ = [5  1  -6  -1]

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SOLUTION

First let us get the monthly rate

This can be gotten using the formula

Where P is principal,

r is the percent interet rate per year, so to get monthly interest is divide by 12

i is the monthly interet.

Using column 1 to determine the rate, we have

Now, the interest rate r = 6%

The starting principal becomes

Therfore, the answer is 150000 dollars

The survey data on work-related emails received by legal professionals will serve as a valuable resource for the industrial/organizational psychologist to gain insights into the email workload and design evidence-based interventions to enhance worker productivity for the client firm.

The industrial/organizational psychologist has access to the 2008 workplace productivity survey, which includes information on the number of work-related emails received by a sample of 650 white-collar professionals, including 250 legal professionals and 400 other professionals.

By analyzing the survey data, the psychologist can gain insights into the typical life of a white-collar professional and understand the specific challenges faced by legal professionals in terms of email communication.

The survey question, "How many work-related emails do you receive during a typical workday?" provides a quantitative measure of the email volume experienced by legal professionals.

By examining the responses of the legal professionals, the psychologist can determine the average and range of work-related emails received, as well as identify any patterns or trends. This information can be crucial in understanding the email overload and its potential impact on productivity for legal professionals.

By having a clear understanding of the email communication demands, the psychologist can develop targeted interventions and strategies to improve productivity, such as email management techniques, prioritization strategies, or even training programs aimed at optimizing email usage.

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At that point, there would be 417 cookies left. At that rate it would take about 31 minutes.

(a) The possible choices are (1,3), (1,5), and (3,5), and the maximum of each pair is 3, 5, and 5, respectively.

(b) Since each pair has probability 1/3 of being chosen, the probability mass function for X is P(X=3) = 1/3 and P(X=5) = 2/3.

(c) The expectation of X is E(X) = 3(1/3) + 5(2/3) = 4.

(d) The variance of X can be calculated as Var(X) = E(X^2) - (E(X))^2 = (3^2)(1/3) + (5^2)(2/3) - 4^2 = 2/3.

(a) We can list all the possible choices of two integers from the set {1,3,5}: (1,3), (1,5), and (3,5). For each choice, we can determine the maximum of the two integers. These maximums are 3, 5, and 5, respectively.

(b) Since each pair has an equal probability of being chosen, the probability mass function for X can be calculated as the probability of getting 3 or 5. There is only one pair that results in X=3, which is (1,3). There are two pairs that result in X=5, which are (1,5) and (3,5). Thus, P(X=3) = 1/3 and P(X=5) = 2/3.

(c) To find the expectation of X, we multiply each possible value of X by its corresponding probability and sum the results. Thus, E(X) = 3(1/3) + 5(2/3) = 4.

(d) The variance of X can be calculated using the formula Var(X) = E(X^2) - (E(X))^2. We can calculate E(X^2) by multiplying each possible value of X squared by its corresponding probability and summing the results. Thus, E(X^2) = (3^2)(1/3) + (5^2)(2/3) = 16/3. Substituting E(X) = 4 and E(X^2) = 16/3 into the formula for variance gives Var(X) = 2/3.

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The mean slope of the function f(x) = 6√x + 10 on the interval [2, 8]. Here are the steps:
1. Determine the function values at the endpoints of the interval:
f(2) = 6√2 + 10
f(8) = 6√8 + 10
2. Calculate the difference in function values (Δy) and the difference in input values (Δx):
Δy = f(8) - f(2)
Δx = 8 - 2
3. Compute the mean slope: Mean slope = Δy / Δx
Now, let's perform the calculations:
1. f(2) = 6√2 + 10 ≈ 18.49
  f(8) = 6√8 + 10 ≈ 26.97
2. Δy = 26.97 - 18.49 ≈ 8.48
  Δx = 8 - 2 = 6
3. Mean slope = 8.48 / 6 ≈ 1.41
So, the mean slope of the function f(x) = 6√x + 10 on the interval [2, 8] is approximately 1.41.

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37 centimeters is equal to approximately 14.5 inches.

We know that 1 cm is equal to 0.39 inches.

So to convert 37 cm to inches we multiply 37 with 0.39

37×0.39=14.47 inches

The length is approximately 14.5 inches (rounded to the nearest tenth)

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Answer:

2.7

Step-by-step explanation:

Convert centimeters to inches by multiplying:

70.39=2.73

So, 7 centimeters is approximately 2.73 inches.

Now round to the nearest tenth.

2.73 → 2.7

7 centimeters is the same as approximately 2.7 inches.

Steps to solve:

-2t + 6 = 21

~Subtract 6 to both sides

-2t = 15

~Divide -2 to both sides

t = 15/-2

Best of Luck!

Answer:

Step-by-step explanation:

Start with the piecewise definition of the absolute value function

y = f(x) = |x|

\(f(x) = \left \{ {f(x);\;{x\ge=0} \atop {{-f(x);\;{x < 0}} \right.\)

Substitute x + 5 for f(x)
\(|x+5| = \left \{ {x+5;\;{x+5\ge=0} \atop {{-(x+5);\;{x + 5 < 0}} \right.\)

Note that at x = 5, |x + 5| = 0 and therefore we have a unique point (-5, -2). This is where the function changes

Simplify the inequalities
x + 5 ≥ 0  ==> f(x) =  x ≥ -5

-(x+5) < 0 ==> -x -5 < 0 = -x < 5 or x >=5

Separate the two pieces
y = (x + 5); x ≥ -5
y = -x - 5; x < -5

Subtract 2 from both sides of the function
y = (x + 5) - 2 when x ≥ -5  or y = x + 3 when x ≥ -5

y = -x - 5 - 2 when x < -5   or y = - x - 7 when x < -5

Correct answer choice is the  last one
y = x + 3 for x ≥ -5 and y = -x -7 for x < -5

If you look at the attached graph of y = |x| -2  you will see this is consistent with the above piecewise function

For example at x = -3 which is greater than x = -5, y = 0 and x+3 = -3 + 3 = 0

At x = -7 which is less than -5, also y = 0 and -x -7 = -(-7) - 7 = 7-7 = 0

Answer:

Step-by-step explanation:

50.594

204.3251

47.1138

To see the steps of  sum a column in Excel on a Mac.

Now, According to the question:

1. Click the first empty cell below a column of numbers.

2. Do one of the following: Excel 2016 for Mac: : On the Home tab, click  AutoSum. Excel for Mac 2011: On the Standard toolbar, click AutoSum. ...

3. Press RETURN .

How do you sum cells on a Mac?

Once the cells are selected, press the Command key and the = (equal sign) key at the same time. This will automatically sum the selected cells. If you want to sum a specific range of cells, you can do so by selecting the first cell in the range, pressing the Shift key, and then selecting the last cell in the range.

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Using a z-table or calculator, the p-value is approximately 0.2266. This represents the probability of observing a z test statistic of -0.75 or less, assuming the null hypothesis is true.

Based on the information provided, you are conducting a left-tailed test for the null hypothesis H0: π1 - π2 ≥ 0.20, and the z test statistic is -0.75. To find the p-value for this test, you'll need to look up the corresponding probability in a standard normal (z) distribution table or use a calculator with a built-in function.
The p-value represents the probability of obtaining a test statistic as extreme or more extreme than the one calculated, given that the null hypothesis is true. Since this is a left-tailed test, you will look up the probability of getting a z-score of -0.75 or lower.
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Answer:

Step-by-step explanation:

1. What stock did you buy?

Apple Inc.

2. Why did you think buying this stock would be a good idea?

Apple products are becoming more and more popular every day. The company is always introducing new and exciting devices. I knew it would be a safe choice to invest in.

3. How much would you have made or lost on an investment of $1,000?

I would have made $105.

Hint: First find out how many shares you could've bought one year ago by dividing $1,000 by the price of the stock one year ago today. You may have to estimate the stock price from the graph. Round the number of shares to the nearest whole number. Then, find out the current value of your shares by multiplying the number of shares you bought by the price of the stock today. Compare that to your initial investment of $1,000.

4. Could you have made more money by selling sooner?

Yes, on October 3, 2018 it was at its peak for the year.

your investment would be doing great today. you would make $115 from the given investment.

A stock usually referred to as equity, is a type of investment that denotes ownership in a portion of the issuing company. Shares, also known as units of stock, entitle their owners to a share of the company's assets and income in proportion to the number of shares they possess.

Given, you're going to imagine that you invested $1,000 in a company one year ago

Therefore, Today, your investment would be flourishing. Your return on the stated investment would be $1,115.

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(3x10) + (4x1) = 34

(4x10) + (3x1) = 43

There are three tens in 34 and 4 tens in 43, and there are 4 ones in 34 and 3 ones in 43

Mark as Brainllest

Answer:

the answer is 28

Step-by-step explanation:

Answer: look at the picture I think you want this

Step-by-step explanation: Hope this help :D

Answer:

  yes

Step-by-step explanation:

You want a graph of P = 125 +50W.

The given equation is in slope-intercept form. The independent variable is W, and the dependent variable is P.

Usually, the independent variable is graphed on the horizontal axis, which you have done.

The dependent variable is graphed on the vertical axis, which you have done.

The axes are correctly labeled and graduated.

The "y-intercept" (P value) when the independent variable is zero is the constant in the equation, 125. You have correctly shown that on the graph.

The slope of the line is the coefficient of the independent variable (W) in the equation. You have correctly shown that P increases by 50 when W increases by 1.

Yes, you properly graphed the equation.

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Answer:

70

Step-by-step explanation:

Parenthesis

Exponents

Multiplication

Division

Addition

Subtraction

12/3 + 5 × 4^2 - 2(12 - 5)

4 + (5 × 4^2) - 2(7)

4 + (5 × (4 × 4)) - 14

4 + (5 × 16) - 14

4 + 80 - 14

84 - 14

70

a) The equation that can be used to find the distance of the flowerbed from the hive is d = (7 · t + 26) / 2, where t is in seconds and d is in feet.

b) The flowerbed is 433 feet away from the hive.

In accordance with the statement, the bee flies from its hive to a flowerbed, stays 11 minutes and flies back to the hive, which means that the bee takes 2 minutes on covering twice the distance between the hive and the flowerbed. Given that the bee flies at constant speed, then we can use the following formula:

2 · d = 20 · t + 13 · (2 - t)

2 · d = 7 · t + 26

d = (7 · t + 26) / 2

d = (7 · 120 + 26) / 2

d = 433 ft

a) The equation that can be used to find the distance of the flowerbed from the hive is d = (7 · t + 26) / 2, where t is in seconds and d is in feet.

b) The flowerbed is 433 feet away from the hive.

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On solving the provided query we have Therefore, assuming that order equation counts, there are 20,736 different ways to arrange 12 different books on four shelves.

A mathematical equation is a formula that connects two claims and uses the equals symbol (=) to denote equivalence. An equation in algebra is a mathematical statement that establishes the equivalence of two mathematical expressions. For instance, in the equation 3x + 5 = 14, the equal sign places a space between the variables 3x + 5 and 14. The relationship between the two sentences that are written on each side of a letter may be understood using a mathematical formula. The symbol and the single variable are frequently the same. as in, 2x - 4 equals 2, for instance.

Using the permutation formula with repetition, we can determine how many different ways there are to arrange 12 books on 4 shelves.

\(n^r\)

where r is the number of empty spaces to be filled (in this example, 4 shelves) and n is the number of options to select from (12 distinct books in this case).

\(12^4 = 20,736\)

Therefore, assuming that order counts, there are 20,736 different ways to arrange 12 different books on four shelves.

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Applying the cosine ratio, the value of x to the nearest tenth is: 11.9.

The cosine ratio is found using the formula, cos ∅ = adjacent length / hypotenuse length of a right triangle.

Given the following:

Plug in the values into the cosine ratio:

cos 32 = x/14

x = (cos 32)(14)

x = 11.9

Thus, applying the cosine ratio, the value of x to the nearest tenth is: 11.9.

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The correct answer to the given question is d. 2n+1. The other options, such as 1n, 3n, 2n-1, and 2n+2, do not accurately represent the chromosome number of a trisomic organism.

A trisomic organism is one that has an extra copy of a chromosome in its genome. This means that it has three copies of a particular chromosome instead of the usual two, which can have significant implications for the organism's development and health.

In terms of algebraic notation, the chromosome number of a trisomic organism would be denoted as 2n+1, where "n" represents the normal diploid number of chromosomes for that organism. The "2n" represents the normal two sets of chromosomes, and the "+1" represents the extra chromosome.

Therefore, the correct answer to the given question is d. 2n+1. The other options, such as 1n, 3n, 2n-1, and 2n+2, do not accurately represent the chromosome number of a trisomic organism. It is important to note that trisomies can occur for any chromosome, not just the sex chromosomes, and can have varying effects depending on which chromosome is affected.

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The most the salon would be willing to pay that groomer is $25×4 = $100.

The unitary method is a technique that determines the worth of a single unit from value of multiple units, as well as the quality of multiple units from value of a single unit.

Some key features regarding the unitary method are-

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Answer:

5x + 2y = –14

Step-by-step explanation:

Graph the points and find the equation from there.

Answer:

the answer is 5x + 2y = –14 their right

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

if its not C im am so very sry

The prοbability that the prοpοrtiοn οf red marbles in the sample frοm bin a is greater than the prοpοrtiοn οf red marbles frοm bin b is 0.1573.

Prοbability is a way οf calculating hοw likely sοmething is tο happen. It is difficult tο prοvide a cοmplete predictiοn fοr many events. Using it, we can οnly fοrecast the prοbability, οr likelihοοd, οf an event οccurring. The prοbability might be between 0 and 1, where 0 denοtes an impοssibility and 1 denοtes a certainty.

Here by using probability calculator for sampling distribution of \(p_1-p_2\).

\(z=\frac{\hat p_1-\hat p_2}{\sqrt{\frac{p_1(1-p_1)}{n_1}+\frac{p_2(1-p_2)}{n_2}}}\)

Here \(\hat p_1=p_1\) = 40% = 0.40 and \(\hat {p_2}=p_2\) = 52% = 0.52 and \(n_1=0 , n_2=40\)

=> \(z=\frac{0.40-0.52}{\sqrt{\frac{0.40(1-0.40)}{0}+\frac{0.52(1-0.52)}{40}}}\)

=> z = -1.00561

Here \(\hat p_1 > \hat p_2\)

=> \(\hat p_1 - \hat p_2 > 0\)

Then , P(x<z) = 0.1573.

Hence  the prοbability that the prοpοrtiοn οf red marbles in the sample frοm bin a is greater than the prοpοrtiοn οf red marbles frοm bin b is 0.1573.

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