The perimeter of a rectangle is found by multiplying the sum of the length, shown as LaTeX: ll, and the width, shown as LaTeX: ww, by LaTeX: 22. The length of a certain rectangle is LaTeX: 2020 . Which inequality shows that the perimeter of this rectangle is less than LaTeX: 5757 units?

Answer:

\(x {}^{3} \)

Step-by-step explanation:

\(\frac{(x {}^{5} )}{( {x}^{2} )}\)

\(x {}^{3} \)

From the given information provided, the probability of event F given that event E has occurred is 0.5.

Conditional probability is probability of an event A occurring with given that event B has occurred. It is denoted as P(A|B) and is calculated as follows:

P(A|B) = P(A and B) / P(B)

To find P(F/E), we use the conditional probability formula:

P(F/E) = P(E and F) / P(E)

We are given that P(E and F) = 0.1 and P(E) = 0.2. Substituting the given values in the formula, we get:

P(F/E) = 0.1 / 0.2

Simplifying this expression, we get:

P(F/E) = 0.5

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Answer:

29:21

Step-by-step explanation:

The ratio of the diagonal to the base of the rectangle is 58:42

The ratio can be simplified further.

The simplified ratio is 29:21.

Answer:

an = 196,608 nth term

Hope it's helped

Answer:

an = -3 • 4^(n - 1)

Step-by-step explanation:

Answer:

D. 7/9

Step-by-step explanation:

Whole numbers are all natural numbers, or positive numbers that are not fractions (including 0). A and C are whole numbers because they are positive and not fractions.

Integers are all whole numbers, but negative numbers are included as well. B is an integer because it is the negative version of a whole number.

D is a fraction, therefore being neither.

Answer:

3/root8+root9

Step-by-step explanation:

3/root8+root9

Question 7

\(\sqrt{(12)(4)}=4\sqrt{3}\)

Question 8

\(\sqrt{(13)(3)}=\sqrt{39}

\(\sqrt{(13)(3)}=\sqrt{39}\)

Question 9

\(SR=30-6=24 \\ \\ QS=\sqrt{(24)(6)}=12\)

Answer:

m ∠RQS ≅ m ∠RTS  Corresponding parts of congruent triangles are ≅  (CPCTC)

Step-by-step explanation:

1.   R is the midpoint of QT                         Given

2.  QR ≅TQ                                                  Definition of midpoint

3.  QS ≅ TS                                                   Given

4.  RS ≅RS                                                    Reflexive

5.  Δ RQS ≅ ΔRTS                                      SSS

6.  m ∠RQS  ≅ m ∠RTS                              CPCTC

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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Answer:

0 < x ≤ 100 and 0 < y ≤ 300

Step-by-step explanation:

THIS IS THE COMPLETE QUESTION BELOW;

college is currently accepting students that are both in-state and out-of-state. They plan to accept three times as many in-state students as out-of-state, and they only have space to accept 100 out-of-state students. Let x = the number of out-of-state students and y = the number in-state students. Write the constraints to represent the incoming students at the college.

0 < x ≤ 100 and 0 < y ≤ 300

x > 0 and y > 0

0 < x ≤ 100 and y > 300

0 < x and y < 100

SOLUTION

they only have space to accept 100 out-of-state students,which means that the Maximum number of out-of-state students that can be accepted is 100

Then x= 100(Maximum number of out-of-state students that can be accepted)

They plan to accept three times as many in-state students as out-of-state which means that

Y = 3x(Maximum number of in-state students)

Then we can deduced that the numbee out-of-state students that can be accepted can lyes between the range of 0 and 100 which means from interval 0 to 100

Which can be written as 0 < x ≤ 100

But we need to know the interval for the Maximum number of in-state students(Y), to do that we need to multiply the equation above by 3 since Y = 3x

0 < x ≤ 100

3× 0 = 0

3× X = X

3× 100= 300

Then 0 < 3x≤ 300

But we know that Y = 3x then substitute into last equation

We have

0 < y ≤ 300

ThenBthe constraints to represent the incoming students at the college is

0 < x ≤ 100 and 0 < y ≤ 300

Answer:

0 < x ≤ 100 and 0 < y ≤ 300

Step-by-step explanation:

took test & got it right

Selina will get £153.78 of interest by the end of 3 years.

To calculate the total amount of interest Selina will get by the end of 3 years, we need to use the compound interest formula:

A = P\((1 + r/n)^{(nt)}\)

where:

A = the amount of money at the end of the time period

P = the principal amount (the amount initially invested)

r = the annual interest rate (as a decimal)

n = the number of times the interest is compounded per year

t = the time period (in years)

In this case, we have:

P = £2000 (the amount initially invested)

r = 2.5% per annum = 0.025 (as a decimal)

n = 1 (the interest is compounded annually)

t = 3 (the time period is 3 years)

So, plugging in the values into the formula, we get:

A = 2000\((1 + 0.025/1)^{(1×3)}\)

= 2000\((1.025)^{3}\)

= 2000(1.07689)

= £2,153.78 (rounded to the nearest penny)

To find the total amount of interest Selina will get, we need to subtract the principal amount from the final amount:

Total interest = £2,153.78 - £2,000

= £153.78

Therefore, Selina will get £153.78 of interest by the end of 3 years.

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Answer:

-2, 14 is your answer.  Hope this helps!

Step-by-step explanation:

If k(-5, 10) is midpoint and (-8, 6) is one side then you add -3 and subract 4 to get L.  That means subtract 3 from -5 and add 4 to the 10.

Answer:

a.  99.99 * .15 = 15 dollars off (14.9985 dollars)

b.  175000 *.07 = $12,250

c. rent = $2500 = x

y = total budget

y = 2500/.12  = $20,833.33

d. d = .19 * r

Step-by-step explanation:

Answer:

Step-by-step explanation:

Area of a circle = (3.14) (6)2

= 113.04

Answer:

Area = 36π

Step-by-step explanation:

Area of circle = π x r²

Area = π x 6²

        = 36π

Answer: 6x^2+8x

Step-by-step explanation:

first multiply outside lengths

4x(3x+2) distribute

12x^2+8x

then multiply inside lengths

2x(3x) = 6x^2

Now subtract outside-inside

12x^2+8x-6x^2

that equals 6x^2+8x

Answer:

Im assuming your needing to divide

Step-by-step explanation:

If we do the math then A is 7 and D is 4 making 11 units

Answer:

16.9

Step-by-step explanation:

Answer:

1250g

Step-by-step explanation:

1.25 kg × 1000 = 1250g

Michael's opportunity cost of a sculpture is 2 paintings per sculpture.

According to the table, Michael can produce either 3 sculptures or 6 paintings in a day. Therefore, the opportunity cost of producing one sculpture for Michael is 2 paintings, as he could have produced 2 additional paintings instead of the sculpture.

Opportunity cost represents the trade-off between two options and helps decision makers understand the benefits and drawbacks of different choices. In this case, by choosing to produce a sculpture, Michael is forgoing the opportunity to produce 2 paintings.

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What will happen if marquis doesn't file taxes in April is that; nothing will happen, but marquis will miss out on his potential refund.

Withholding in this regards by his employers simply means how much is being taken out of your paycheck in taxes.

Now, withholding tax is basically an advance payment of income tax which may be used to offset or reduce tax liabilities. In this case, since the employer has withheld $200 in federal income taxes from his paychecks, what it means is that if he doesn't file taxes in April, nothing will happen, but he will miss out on his potential refund.

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Answer:

93 feet

Step-by-step explanation:

Let us first find the time it takes to reach the maximum height. We can do this by differentiating the height function to get velocity:

dh(t)/dt = v(t) = -32t + 72

The maximum height will occur when the velocity becomes 0. Therefore, the time it takes to reach maximum height is:

0 = -32t + 72

32t = 72

t = 72/32 = 2.25 seconds

Therefore, the maximum height of the pumpkin is:

h(2.25) = -16(2.25)^2 + 72(2.25) + 12

h(2.25) = -81 + 162 + 12

h = 93 feet

Answer:24%

Step-by-step explanation:

Determining which plot element is the most challenging to write can pose difficulties for writers, largely depending on their individual style and the story they are crafting.

One of the more difficult plot elements can be the climax, which requires careful buildup and execution to deliver on achieving a satisfying payoff for readers due to escalating tensions throughout the narrative.

Writers tend to employ two common narrative approaches in their writing- dialogue and sensory details. Dialogue helps establish characters' drive, emotions, and motivations, while also advancing the plot and providing critical information to readers. Sensory details create immersive scenes with vivid imagery that allow readers to become invested into the story's ambiance and location.

In sum, by utilizing sensory details, authors capture readers' senses and render stories more tangible, while dialogue helps readers grasp characters' actions and feelings.

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The solution to the mathematical expression \( 35.00 - 4.30 \times 10.00 \) is 0. The calculation involves multiplying 4.30 by 10.00, which gives 43.00, and then subtracting 43.00 from 35.00, resulting in 0.

To further explain the solution, let's break down the steps involved. In the expression, we first perform the multiplication operation, which involves multiplying 4.30 by 10.00. The product of these two values is 43.00.

Next, we subtract 43.00 from 35.00. Since the subtraction operation involves subtracting a larger value (43.00) from a smaller value (35.00), the result will be negative. Therefore, the final answer is 0.

It's important to follow the order of operations in mathematical expressions to arrive at the correct solution. In this case, the multiplication operation is performed first, and then the subtraction operation is carried out. By understanding the rules of arithmetic and executing the calculations correctly, we determine that the expression evaluates to 0.

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Answer:

15

Step-by-step explanation:

5x3 = 15 It's Simple Hope it helps

The critical value zₐ/₂ that corresponds to an 83% level of confidence is approximately 1.381.

To find the critical value zₐ/₂, we need to determine the value that leaves an area of (1 - α)/2 in the tails of the standard normal distribution. In this case, α is the complement of the confidence level, which is 1 - 0.83 = 0.17. Dividing this value by 2 gives us 0.17/2 = 0.085.

To find the z-value that corresponds to an area of 0.085 in the tails of the standard normal distribution, we can use a standard normal distribution table or a statistical calculator. The corresponding z-value is approximately 1.381.

Therefore, the critical value zₐ/₂ that corresponds to an 83% level of confidence is approximately 1.381.

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Answer:

A

Step-by-step explanation:

reflections don't change size or shape just like mirrors