Which one does it simplify to? please

After calculating the questiοn, we get that the value οf 20% οf 75 is 15.

A value οr ratiο that may be stated as a fractiοn οf 100 is referred tο in mathematics as a percentage. Divide the number by the tοtal and multiply by 100 tο find the percent οf a given number. Therefοre, the percentage refers tο a pοrtiοn per hundred. Per 100 is what the wοrd percentage signifies. The letter "%" stands fοr it.

Percent changes applied sequentially dο nοt add up in the usual way. Fοr example, if the 10% increase in price cοnsidered earlier (οn the $200 item, raising its price tο $220) is fοllοwed by a 10% decrease in the price (a decrease οf $22), then the final price will be $198—nοt the οriginal price οf $200.

Here the given is,

=> 20% of 75

=> 20% \(\times\)75

=> \(\frac{20}{100}\times 75\)

=> 5\(\times 3\)

=> 15.

Hence the value of 20% of 75 is 15.

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Answer:  66, 132, 264, 528, 1056

Step-by-step explanation:

For the numbers, just start with \(2\times3\times11 = 66\) and multiply by 2 over and over till you get 5 numbers:

66, 132, 264, 528, 1056.

Answer:

-1/4

3/4 +x= 1/2

x= 1/2-3/4

x= 2/4-3/4

x= -1/4

Answer:

x = - \(\frac{1}{4}\)

Step-by-step explanation:

\(\frac{3}{4}\) + x = \(\frac{1}{2}\)

Multiply through by 4 ( the LCM of 4 and 2 ) to clear the fractions

3 + 4x = 2 ( subtract 3 from both sides )

4x = - 1 ( divide both sides by 4 )

x = - \(\frac{1}{4}\)

The statement for all possible combinations of truth values for its variables. This can help identify patterns and simplify the expression.

To simplify a complicated expression in formal logic, you can use various techniques such as logical equivalences, truth tables, and laws of logic. The goal is to reduce the expression to its simplest form, making it easier to analyze and understand.

Here are some steps you can follow to simplify the statement "s":

1. Identify the logical operators: Look for logical operators like AND (∧), OR (∨), and NOT (¬) in the expression. These operators help connect different parts of the statement.

2. Apply logical equivalences: Use logical equivalences to transform the expression into an equivalent, but simpler form. For example, you can use De Morgan's laws to convert negations of conjunctions or disjunctions.

3. Simplify using truth tables: Construct a truth table for the expression to determine the truth values of the statement for all possible combinations of truth values for its variables. This can help identify patterns and simplify the expression.

4. Use laws of logic: Apply laws of logic such as the distributive law, commutative law, or associative law to simplify the expression further. These laws allow you to rearrange the terms or combine similar terms.

5. Keep simplifying: Repeat the steps above until you cannot simplify the expression any further. This ensures that you have reached the simplest form of the expression.

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Answer:

45

Step-by-step explanation:

9 x 5 = 45

it's a multiplication question

Answer: B: 0 < a < 1

Step-by-step explanation:

The equation we have is:

f(x) = a^(x + h) + k.

k is the value at where we have the horizontal line. In this particular case, we can see that we have a horizontal line at y = -4, then we can conclude that:

k ≈ -4

a is the rate of growth. If a is positive and greater than 1, we would have an increasing function, for example with a = 2, k = 0 and h = 0 we have:

2^1 = 2

2^2 =4

2^3 = 8

This is an increasing function.

Now if a is greater than 0 and smaller than 1, we have a decreasing function (as seen in the graph). For example for a = 0.5, k = 0 and h = 0 we have:

0.5^1 = 0.5

0.5^2 = 0.25

0.5^3 = 0.125

This is a decreasing function.

Then the correct option is B, 0 < a < 1

Answer:

its b

Step-by-step explanation:

a p e x

the place value of 3 in the following is (0.3)

Answer:

6.9

Step-by-step explanation:

6 4/5 in decimal form is 6.8.
6.9 is higher than 6.8 but lower than 7.

Answer:

2 1/7 kg

Step-by-step explanation:

Multiply 5/7 kg by 3, obtaining 15/7 kg, or 2 1/7 kg

The 90% confidence interval for the true proportion of students who had part-time jobs is from 0.374 to 0.526.

We have,
1. First, calculate the sample proportion (p) by dividing the number of students with part-time jobs (207) by the total number of students surveyed (460): p = 207/460 ≈ 0.450

2. Calculate the standard error (SE) using the formula SE = √(p (1 - p)/n), where n is the sample size:

SE ≈ √(0.450(1 - 0.450)/460) ≈ 0.046

3. Find the critical value (z) for a 90% confidence interval, which is 1.645.

4. Calculate the margin of error (ME) using the formula ME = z x SE:

ME ≈ 1.645 x 0.046 ≈ 0.076

5. Find the lower and upper limits of the confidence interval by adding and subtracting the margin of error from the sample proportion:

Lower limit ≈ 0.450 - 0.076 ≈ 0.374,

Upper limit ≈ 0.450 + 0.076 ≈ 0.526

Thus,
The 90% confidence interval for the true proportion of students who had part-time jobs is from 0.374 to 0.526.

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The volume of a ball with a radius of 30 is 14,137.16 cubic centimeters. This is calculated by using the formula V = 4/3πr³, where π is equal to 3.14 and r is equal to the radius of the ball.

To calculate the volume of a ball with a radius of 30, the following formula can be used: V = 4/3πr³, where π is equal to 3.14 and r is equal to the radius of the ball. To calculate the volume, we need to first calculate 4/3π, which is 4.1866.

V = 4/3πr³

π = 3.14

r = radius of the ball

4/3π = 4.1866

r³ = 27,000

4.1866 × 27,000 = 114,137.16

radius of 30 = 114,137.16 cubic centimeters.

We then need to multiply this number by r³, which is 30³, or 27,000. Finally, we need to multiply 4.1866 by 27,000, which is equal to 114,137.16. Therefore, the volume of a ball with a radius of 30 is 114,137.16 cubic centimeters.

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AB is a straight line ⇒ m(∡BXA) = 180°

m(∡BXA) = m(∡BXY) + m(∡YXA) ⇔

⇔ 180° = 60° + m(∡YXA) ⇔

⇔ 60° + m(∡YXA) = 180° ⇔

⇔ m(∡YXA) = 180° - 60° ⇒ m(∡YXA) = 120°

∆XYZ is an isosceles triangle and has an angle of 90° ⇒ m(∡ZXY) = m(∡XYZ) = 45°, because a triangle has 180°

m = m(∡AXZ) ⇒ m(∡AXZ) = ?

m(∡BXA) = m(∡BXY) + m(∡YXZ) + m(∡AXZ) ⇔

⇔ 180° = 60° + 45° + m(∡AXZ) ⇔

⇔ 105° + m(∡AXZ) = 180° ⇔

⇔ m(∡AXZ) = 180° - 105° ⇒ m(∡AXZ) = 75° ⇔

⇔ m = 75°

Good luck! :)

y=2x-3 is the answer.

Note that y=2(x+3) is the same as y=2x+6, which has a slope of 2. Any parallel line must also have a slope of 2, so the answer must be either C or D. Since option D is the same line and will have points in common with the original line, the answer is C.

Answer:

Step-by-step explanation:

Find either c or d first. Those are easy and everything will fall into place after those 2 are found.

c: angle c is supplementary with 115. That means that they add up to equal 180; therefore, 115° + c° = 180° so c = 65°.

d: angle d is supplementary with 70. Therefore, 70° + d° = 180° so d = 110°.

a and c are same side interior, so they are also supplementary. That means that a = 115°.

b and d are also same side interior, so they are also supplementary. That means that b = 70°.

Answer:

-5/3

Step-by-step explanation:

The slope of a line is found by

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

   = (13- -12)/(-3 -12)

   = ( 13+12) / (-15)

     25/-15

    -5/3

The right answer is -5/3

please see the attached picture for full solution

Hope it helps..

Good luck on your assignment..

Answer:

infinite

Step-by-step explanation:

the law in most states in the usa states there must be 3 letters and 3 numbers so there could be infinite

                            -hope this helps-

The values for R(detected), λ, and t into the equation, you can calculate the "true" count rate of your sample

To calculate the detected activity from the count rate due to background radiation and the sample of KCl, you can use the following equation:

R(detected) = R(total) - R(background)

In this equation, R(background) represents the count rate for background radiation, and R(total) represents the total count rate detected from your sample and background. By subtracting the count rate of background radiation from the total count rate, you can determine the detected count rate from your sample, R(detected).

To determine the "true" activity of your sample, you can use the following equation:

R(true) = R(detected) / (1 - exp(-λt))

In this equation, R(true) represents the "true" count rate of your sample, R(detected) represents the detected count rate from your sample, λ represents the decay constant of the radioactive isotope in your sample, and t represents the time during which the count rate is measured.

By plugging in the values for R(detected), λ, and t into the equation, you can calculate the "true" count rate of your sample, which represents the actual activity of the radioactive isotope in the sample.

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Complete question:

write a mathematical equations that show how you will calculate the detected activity from the count rate due to background radiation and the sample of KCl. also, write an equation that shows how you will determine the "true" activity of your sample. Use the following terms:

R(background) = count rate for background radiation

R(total) = total count rate detected from your sample and background

R(detected) = detected count rate from your sample less the background radiation

R(true) = the "true" count rate of your sample.

Aoife traveled a total distance of 5,850 kilometers by plane. This includes 3,600 kilometers on the first plane and 2,250 kilometers on the second plane.

To calculate the total distance traveled by Aoife, we can add the distances covered on each plane. The first plane traveled for 5 hours at an average speed of 720 km/h, resulting in a distance of 5 hours × 720 km/h = 3,600 kilometers.

The second plane flew for 4 hours 30 minutes, which is equivalent to 4.5 hours, at an average speed of 770 km/h. Therefore, the distance covered by the second plane is 4.5 hours × 770 km/h = 3,465 kilometers.

By summing up the distances covered on both planes, we find that Aoife traveled a total distance of 3,600 kilometers + 3,465 kilometers = 5,850 kilometers.

Thus, Aoife traveled a combined distance of 5,850 kilometers by plane during her journey to the other country.

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The number of ways to chose a president, vice president, secretary, and treasurer of the club, where no person can hold more than one office is 11880.

If the person cannot hold more than one office.

Then the number of ways of selecting a president, vice president, secretary and treasurer of the club from the club consisting of 12 member is given by the permutation ¹²P₄.

Because we have to select four member out of 12,

So, solving further,

= ¹²P₄

= 12!/(12-4)!

= 12!/8!

= 12 x 11 x 10 x 9

= 11880.

So, there are a total of 11880 ways to chose the members.

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Complete question - A club has 12 members A president, a vice president, a secretary, and a treasurer are to be chosen from these members. A member cannot serve for more than one position. In how many ways can this be down?

Answer:

y = 3x/2-14

Step-by-step explanation:

We are given that the line is perpendicular to y = -2/3 and contains (4,-8).

Perpendicular Def.

\( \displaystyle \large{m_1m_2 = - 1}\)

Both slopes multiply each others equal to -1.

Finding another slope that is perpendicular to -2/3, substitite m1 = -2/3 in.

\( \displaystyle \large{ - \frac{2}{3} m_2 = - 1}\)

Multiply both sides by 3.

\( \displaystyle \large{ - \frac{2}{3} m_2( 3) = - 1(3)} \\ \displaystyle \large{ - 2 m_2= - 3} \\ \displaystyle \large{ m_2= \frac{3}{2} }\)

Therefore, another slope that is perpendicular to -2/3 is 3/2.

Then rewrite in slope-intercept form.

Slope-Intercept

\( \displaystyle \large{y = mx + b}\)

where m = slope and b = y-intercept; substitute m = 3/2 in.

\( \displaystyle \large{y = \frac{3}{2} x + b}\)

Since the line contains (4,-8), substitute x = 4 and y = -8 in and solve for b.

\( \displaystyle \large{ - 8 = \frac{3}{2} (4) + b} \\ \displaystyle \large{ - 8 = 3(2)+ b} \\ \displaystyle \large{ - 8 = 6 + b} \\ \displaystyle \large{ - 8 - 6 = b} \\ \displaystyle \large{ - 14 = b}\)

Therefore, b is -14; rewrite again in slope-intercept form.

Thus:-

\( \displaystyle \large{y = \frac{3}{2} x + b} \\ \displaystyle \large{y = \frac{3}{2} x - 14}\)

The last sentence of the proof states, "By the Pythagorean theorem, since a squared plus b squared equals c squared, the sum of f and e is equal to c."

The proof establishes the proportions and similarities between the triangles in the diagram. It shows that the ratios of corresponding sides in the similar triangles hold true, leading to the proportions a/c = c/a and b/c = c/e. These proportions can be rearranged to obtain a2 = cf and b2 = ce.

The next step in the proof adds b2 to both sides of the equation a2 = cf, resulting in a2 + b2 = cf + b2. Since b2 = ce, we substitute ce into the equation, giving us a2 + b2 = cf + ce.

The final step applies the converse of the distributive property, which states that if a + b = c, then a(b + d) = ab + ad. In this case, we have a2 + b2 = cf + ce, which can be rewritten as a2 + b2 = c(f + e).

Therefore, the last sentence of the proof concludes that because a2 + b2 = c2 (as derived from the previous steps), it follows that f + e = c. This statement completes the proof and establishes the relationship between the lengths of the sides and the altitude in the right triangle. Option C is correct.

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Answer:

70% of 30 is 21 30 * 0.7 = 21

Minimax Regret Approach takes place when the decision chosen is the one corresponding to the minimum of the maximum regrets.

In the Minimax Regret Approach, decisions are evaluated based on their maximum possible regret. It aims to minimize the potential regret associated with a decision by selecting the option that corresponds to the minimum of the maximum regrets.

In decision-making scenarios, individuals often face uncertainty about the outcomes and have to choose from various alternatives. The Minimax Regret Approach provides a systematic method for evaluating these alternatives by considering the regrets associated with each decision.

To apply this approach, the decision-maker identifies the potential outcomes for each decision and determines the corresponding payoffs or losses. The regrets are then calculated by subtracting each payoff from the maximum payoff across all decisions for a particular outcome. The decision with the smallest maximum regret is chosen as it minimizes the potential loss or regret.

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Answer:

60

Step-by-step explanation:

If you multiply 5 by 60 you will get the total number of people, 300. If you then multiply 4 by 60, you get 240. That means 60 people dont have pets.

The answer is 60.

If you multiply 5 by 60 you will get the total number of people, 300. If you then multiply 4 by 60, you get 240. That means 60 people don't have pets.

Problem-solving is the act of defining a problem; determining the cause of the problem; identifying, prioritizing, and selecting alternatives for a solution; and implementing a solution.

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Answer:

For line j to be parallel to line k, then x has to be equal to 0

Step-by-step explanation:

if line j is parallel to line k, then the two angles are equal.

They are equal because they would be alternate angles and alternate angles are equal in value

Thus,

3x + 10 = 5x + 10

5x-3x = 10-10

2x = 0

x = 0

The number of btus which are needed to cool Lucia’s apartment shown in the three-dimensional model are 20,400 btus.

Volume of rectangular prism is the amount of quantity, which is obtained in it in the 3 dimensional space.

Volume of a rectangular prism is the product of its width, height and length.

\(V=w\times h\times l\)

Here, (w) is the width of the base (l) is the length and (h) is the height of the rectangular prism.

A three-dimensional model of Lucia’s apartment is shown. The image is attached below for the apartment. The three section are there in the apartment. The volume of this apartment is,

\(V=[(20\times12)+(20-9)\times16+(20\times20)]\times10\\V=8160\rm\; ft^3\)

To cool the whole apartment, an air conditioner must provide 2.5 btus per cubic foot. To cool, the 8160 cubic foot apartment the btus needed are,

\(n=8160\times2.5\\n=20400\rm\; btus\)

Hence, the number of btus which are needed to cool Lucia’s apartment shown in the three-dimensional model are 20,400 btus.



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Answer:

20,400 BTUs

Step-by-step explanation:

Answer:

Step-by-step explanation: