The height of a square pyramid is 8 inches. If the volume is 24 in.³ what is the length of the pyramid base

Answer:

7/17

Step-by-step explanation:

Probability is found by (# of what we are looking for)/(total). We know that there are 7 picture books that are returned. We know that the total books returned are 5 + 3 + 7 + 2 = 17. Therefore, the probability is 7/17.

I hope this helps! :)

The sentence that expresses numbers correctly is: "When the temperatures fell below zero degrees Fahrenheit, the employees decided to take public transportation."

In the sentence, the number is correctly expressed as "zero degrees Fahrenheit." When referring to temperatures below freezing, it is common to use the term "zero" to indicate the absence of heat. The numerical value of zero is represented by the numeral "0," rather than the word "Zero."

Additionally, the unit of measurement, Fahrenheit, is capitalized as it is a proper noun derived from the name of the scientist who developed the temperature scale.

Therefore, the sentence "When the temperatures fell below zero degrees Fahrenheit, the employees decided to take public transportation" accurately conveys the correct numerical and linguistic representation of the temperature.

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If the government was to impose a minimum wage of $12 then the number of unemployed workers would be 4,000.

If the government was to impose a minimum wage of $12 then a situation would arise where the demand for workers is 8,000 yet the supply for workers is 12,000.

This would lead to an unemployment rate of:

= 12,000 - 8,000

= 4,000 people

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The price at which the company will receive the maximum daily profit would be $6.89, or a reduction of $0.10 from the initial price of $6.99 per unit.

The company sells 160 computer pieces daily for $6.99 each. So, the revenue can be computed as follows:

Revenue = (Number of Sold) × (Price of a Unit) = (160) × ($6.99) = $1118.40

The cost of each piece is $1.67, and the company sells 160 computer pieces daily, so the cost can be calculated as follows:

Total Cost = (# of Sold) times (Cost of a unit) + Flat Rate cost= (160) × ($1.67) + ($100) = $451.20

By using the estimated data, we can say that if the selling price is reduced by $0.10 per piece, the sales will increase by 5 units.

Therefore, revenue at the new price would be

Revenue = (160 + 5) × ($6.99 − $0.10) = $1148.25

We can calculate the marginal revenue for this change as follows:MR = ΔRevenue ÷ ΔQ = ($1148.25 − $1118.40) ÷ (165 − 160) = $5.77

Since the cost of producing an extra unit is the same as the cost of producing the previous one, the marginal cost would be equal to the cost of each piece.

Therefore, MC = $1.67

Profit = Revenue − Total Cost

The profit obtained when 160 units are sold at $6.99 per unit would be

Profit = $1118.40 − $451.20 = $667.20

And the profit obtained when 165 units are sold at $6.89 per unit would be

Profit = $1148.25 − [(165) × ($1.67)] − ($100) = $752.55

Thus, the point of maximum profit is where MR = MC.

Therefore, $5.77 = $1.67. So, the new selling price would be $6.89.

The profit obtained at this point would be

Profit = (165) × ($6.89) − [(165) × ($1.67)] − ($100) = $752.55

Thus, the price at which the company will receive the maximum daily profit would be $6.89, or a reduction of $0.10 from the initial price of $6.99 per unit.

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Answer:

4:3

Step-by-step explanation:

Got the same question. the answer is 4:3

For the equation y = (2/5)x + 3, graph x = 0, y = 3 and x = -7.5, y = 0

For y = -x-4, graph x = 0, y = -4 and x = -4, y = 0

How to graph straight lines?

The general equation of a straight line is:

y = mx + c,

where m is the slope of the line and c is the y-intercept

To plot the graph:

Using y = (2/5)x + 3

find y when x = 0:

y =  (2/5)(0) + 3

y = 3

=> x = 0, y = 3

Also, find x when y = 0:

y = (2/5)x + 3

0 = (2/5)x + 3

(2/5)x = -3

x = -3/(2/5)

x = -7.5

=> x = -7.5, y = 0

Thus, graph x = 0, y = 3 and x = -7.5, y = 0 as shown in the image attached

Using y = -x - 4

find y when x = 0:

y =  -0 -4

y = -4

=> x = 0, y = -4

Also, find x when y = 0:

y = -x - 4

0 = -x - 4

x = -4

=> x = -4, y = 0

Thus, graph x = 0, y = -4 and x = -4, y = 0 as shown in the image attached

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Answer:

Knowing how to calculate with percents is important because percents are a common way of expressing proportions or fractions. Percents are used in a wide range of applications in our daily lives, including calculating discounts and sale prices in shopping, determining interest rates and loan payments in finance, and understanding data and statistics in many fields. In the example given, calculating with percents is important for the shoe brand to determine the number of shoes they need to donate based on their sales. It is also important for customers to understand the impact of their purchase on children in need. Overall, being able to calculate with percents allows us to make informed decisions and understand the relationships between different quantities.

Answer:7

Step-by-step explanation:5x3

5+x=7

2+5=x

Answer: hey could buy one of each and share with his sister

14-5=9

9-2=7

The Tukey's "honestly significant difference" test is a post-hoc test.What is a post-hoc test?In statistics, a post-hoc test is a statistical test conducted after another test that has yielded statistical significance has been conducted.

The post-hoc test may be utilized to discover which group or groups within a larger population are responsible for the statistical significance of the findings.

The Tukey's "honestly significant difference" test is a post-hoc test which compares all possible pairs of means in a sample and determines if there is a statistically significant difference between them. It is frequently used in conjunction with one-way ANOVA and is useful in identifying where significant differences exist between groups when the ANOVA determines that a statistically significant difference exists. The "150" you mentioned is not relevant to the question and has not been used anywhere in the context.

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Answer:

Step-by-step explanation:  Hello!

I don't remember all of the postulates to these, but I hope this will help you! Vertical angles are congruent, so both angles SRT and PRQ are congruent.  This also means that line segments PQ and ST are congruent.  You also know that angles Q and S are congruent which is given.  By the ASA Theorem, when two angles and a side are congruent, then the triangles are congruent.

The ratio of boy to girl who play kickball at race is 6 to 2. There are 18 girl on the team. the number of boys who play kickball at race is 12 boys.

The ratio of boy to girl who play kickball at race is 6 to 2

6 boys: 2 girls

Multiply the number of girls by the ratio:

18 girls x (6 boys / 2 girls) = 18 x 3 = 54

Subtract the number of girls from the total to get the number of boys:

54 - 18 = 36

Therefore, there are 12 boys who play kickball at race.

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To calculate the volume of a box, we multiply its length, width, and height. In this case, the box is 6 decimeters wide, 9 decimeters tall, and 7 decimeters long.

The volume of a box is determined by multiplying its length, width, and height. In this case, the width is 6 decimeters, the height is 9 decimeters, and the length is 7 decimeters. To find the volume, we multiply these three dimensions together: Volume = length * width * height.

Substituting the given values, we have: Volume = 7 decimeters * 6 decimeters * 9 decimeters. Multiplying these values gives us the volume in cubic decimeters. To simplify the calculation, we can multiply the numerical values first: 7 * 6 * 9 = 378. The unit for volume is cubic decimeters (dm³), so the volume of the box is 378 dm³.

Therefore, the volume of the box is 378 cubic decimeters. This means that the box can hold 378 units of volume, each with the dimension of a cubic decimeter.

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There are nC2 different votes possible, where n is the number of bands on the list and nC2 represents the number of ways to choose 2 bands out of n.

To calculate nC2, we can use the formula for combinations, which is given by n! / (2! * (n-2)!), where ! represents factorial.

Let's say there are m bands on the list. The number of ways to choose 2 bands out of m can be calculated as m! / (2! * (m-2)!). Simplifying this expression further, we get m * (m-1) / 2.

Therefore, the number of different votes possible is m * (m-1) / 2.

In the given scenario, we don't have the specific number of bands on the list, so we cannot provide an exact number of different votes. However, you can calculate it by substituting the appropriate value of m into the formula m * (m-1) / 2.

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Answer:

64 is the fourth term

Step-by-step explanation:

Note : -

First term : 2

Second term : 8

Third term : 4

Fourth term : 64

Fifth term : 256

Sixth term : 1024

If f(x)=2x²-5x-3 g(x)=2x²+5x+2 then (f/g)(x) = (x - 3) / (x + 2).

What is function?

In mathematics, a function is a relationship between two sets of elements, called the domain and the range, such that each element in the domain is associated with a unique element in the range.

To find (f/g)(x), we need to divide f(x) by g(x) as follows:

f(x) = 2x² - 5x - 3

g(x) = 2x² + 5x + 2

f(x) / g(x) = (2x² - 5x - 3) / (2x² + 5x + 2)

To simplify this expression, we can factor the numerator and denominator:

f(x) / g(x) = [(2x + 1)(x - 3)] / [(2x + 1)(x + 2)]

Now, we can cancel out the common factor of (2x + 1) from both the numerator and denominator:

f(x) / g(x) = (x - 3) / (x + 2)

Therefore, (f/g)(x) = (x - 3) / (x + 2).

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Answer:

15.81 = ?

Step-by-step explanation:

Since this is a right triangle we can use the Pythagorean theorem

a^2+b^2 = c^2 where a and b are the legs and c is the hypotenuse

9^2 + 13^2 = ?^2

81 +169 = ?^2

250 = ?^2

Taking the square root of each side

sqrt(250) =?

15.8113883= ?

To the nearest 100th

15.81 = ?

Answer:

Using Pythagorean theorem:- \(a^{2} +b^{2} =c^{2}\)

a= 13

b= 9

c= ? ( length)

\(13^{2} +9^{2} =?^{2}\)

\(13^{2} =169\)

\(9^{2} =81\)

\(169+81=?^{2}\)

\(250=?^{2}\)

\(\sqrt{250}=15.811\)

\(?=15.81\)

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Answer: See below

Step-by-step explanation:

A) The best way to estimate average speed is to make sure that each number is a whole number (with no decimals). This will make division much easier. The number of meters is already a whole number, but to make the number of minutes a whole number, we must round. Because the number after the decimal is greater than 5, that means we will round up, making the value of minutes 5. Now we can estimate 1500 metres/5 minutes = 300 metres/minute

As a little rounding tip, you can use this mnemonic: 4 and below, let it go (round down). 5 and above, give it a shove (round up)!

B) To do this part, we can simply plug the following into the calculator:

1500 metres/4.67 minutes = 321.2 metres per minute

Hope this helps!

You are looking for a number that is a multiple of 3, 4, 5, and 6, and is a factor of 120 divided by 7, leaving a remainder of 4.

Let's break down the problem step by step:

1. Find a number that is a multiple of 3, 4, 5, and 6.
  - The smallest number that meets this criteria is the least common multiple (LCM) of 3, 4, 5, and 6.
  - The LCM of these numbers is 60.

2. Find a number that is a factor of 120 divided by 7.
  - The result of dividing 120 by 7 is 17 with a remainder of 4.
  - The number we are looking for must be a factor of 120 divided by 7, so it must be a factor of 17.
  - The factors of 17 are 1 and 17.

3. Find a number that leaves a remainder of 4.
  - Since the number must leave a remainder of 4, we need to add 4 to the factors of 17.
  - The numbers that meet this criteria are 1 + 4 = 5 and 17 + 4 = 21.

So, the numbers that satisfy all the given conditions are 5 and 21.

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Answer:

x=−5+3–√2

x=−5−3–√2

Step-by-step explanation:

Answer:

27

Step-by-step explanation:

Answer:

ok I will not help u, u played urself

Answer:

0.27 repeating.

Step-by-step explanation:

So to solve this we just have to use division.

1 clearly doesnt go into 3 at least one time, so we can add a decimal point and add a 0 to make it 30.

11 goes into 30 2 times, so we have:

0.2

and 30-22=8

So we can add another 0 and make it 80.

Then 11 goes into 80 7 times. So we have:

0.27

and 80-77=3

So again, add the 0, we have 30.

11 goes into 30 2 times, so:

0.272

and 30-22=8

Add another 0 we get 80.

11 goes into 80 7 times.

So finally, we have:

0.2727.

This is a repeating decimal.

This can be shown as:

0.27

So this is your answer!

I was a bit confused with which one it was on your answer key, but knowing that it is 0.27 I am guessing you can chose!

Hope this helps!

Answer:

that should be your awnser

According to the 75% learning curve, it is estimated that it will take approximately 23.46 hours to manufacture chair number 13.

The learning curve is a concept that suggests the time required to complete a task decreases as the cumulative volume of production increases. In this case, the learning curve is stated to be 75%, which means that for each doubling of the cumulative volume of production, the time required decreases by 25%.

To determine the time it will take to manufacture chair number 13, we need to calculate the learning curve rate. The formula to calculate the learning curve rate is as follows:

Learning Curve Rate = log(learning curve percentage) / log(2)

In this case, the learning curve rate is calculated as:

Learning Curve Rate = log(75%) / log(2) ≈ -0.415

Next, we can use the learning curve formula to find the time required for chair number 13. The formula is:

Time required for a specific unit = Time required for the first unit × (Cumulative volume of production for the specific unit)^learning curve rate

Given that the first premium elegance chair took 68 hours to manufacture, and we want to find the time for chair number 13, the calculation is:

Time required for chair number 13 = 68 × (\(13^{(-0.415)\)) ≈ 23.46 hours

Therefore, it is estimated that it will take approximately 23.46 hours to manufacture chair number 13, which corresponds to option (a) in the provided choices.

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Hey there!

Answer:

There isn't any options to choose from, however an equivalent expression to the given expression above would be \(13h\).

Hope this helps! If not, comment below and lmk what else I can do to better assist you.

Answer:

\(\frac{4}{25}\)

Step-by-step explanation:

16% is equal to \(\frac{16}{100}\)

\(\frac{16}{100}\) can be simplified by dividing by 2, giving you \(\frac{8}{50}\), which can be divided by 2 again, giving you \(\frac{4}{25}\).

\(\frac{4}{25}\) can't be simplified again.

Answer:

16% = 4/25

Step-by-step explanation:

First, turn the percentage (16%) into a fraction with 100 in the denominator:

16% = 16/100

Now, you just need to simplify 16/100:

16/100

= 4/25

Both sides were divided by 4 to get the most simplified answer because 4 is the greatest common factor of 16 and 100.

Answer:

reflection in the x-axis and in the y-axis

Step-by-step explanation:

Answer:

This could be reflection over the y axis and then the x axis or it could also be a 180° rotation around the origin.

Step-by-step explanation:

Either way the first figure will become the second figure.

Answer:

The cost for one pen is A. $1.50

Step-by-step explanation:

Answer:

the pens cost would most likely be a. $1.50

Step-by-step explanation:

Answer:

1080

Step-by-step explanation:

Find and list multiples of each number until the first common multiple is found. This is the lowest common multiple.

Multiples of 15:

15, 30, 45, 60, 75, 90, 105, 120, 135, 150, 165, 180, 195, 210, 225, 240, 255, 270, 285, 300, 315, 330, 345, 360, 375, 390, 405, 420, 435, 450, 465, 480, 495, 510, 525, 540, 555, 570, 585, 600, 615, 630, 645, 660, 675, 690, 705, 720, 735, 750, 765, 780, 795, 810, 825, 840, 855, 870, 885, 900, 915, 930, 945, 960, 975, 990, 1005, 1020, 1035, 1050, 1065, 1080, 1095, 1110

Multiples of 24:

24, 48, 72, 96, 120, 144, 168, 192, 216, 240, 264, 288, 312, 336, 360, 384, 408, 432, 456, 480, 504, 528, 552, 576, 600, 624, 648, 672, 696, 720, 744, 768, 792, 816, 840, 864, 888, 912, 936, 960, 984, 1008, 1032, 1056, 1080, 1104, 1128

Multiples of 27:

27, 54, 81, 108, 135, 162, 189, 216, 243, 270, 297, 324, 351, 378, 405, 432, 459, 486, 513, 540, 567, 594, 621, 648, 675, 702, 729, 756, 783, 810, 837, 864, 891, 918, 945, 972, 999, 1026, 1053, 1080, 1107, 1134

Therefore,

LCM(15, 24, 27) = 1080

hope it helps :)