What is the volume of a rectangular prism that has a length of 8 square inches, a width of 6 3/4 square inches, and a height of 5 1/4 square inches?

\(1+(0.2)^2=1+0.04=\boxed{1.04}\)

Answer:

1.44

Step-by-step explanation:

1 2/10 squared = 1.44

Answer:

120°

Step-by-step explanation:

Answer:

x -y =4

Step-by-step explanation:

First find the slope

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

   = (1- -4)/(5 - 0)

    = (1+4)/(5-0)

   5/5

   = 1

Then we can use slope intercept form

The slope is 1 and the y intercept is -4

y = mx+b

y = 1x-4

We want it in standard form

Ax + By = C where A is a positive integer

Subtract x from each side

-x +y = -4

Multiply by -1

x -y =4

Answer:

x -y =4

Step-by-step explanation:

In the first equation, the missing expression should be "1/a." The derivative of a constant multiplied by the natural logarithm of a variable is equal to the constant divided by the variable.

For the second equation, the missing expression should be "e." The derivative of the exponential function e raised to the power of a variable is simply equal to the exponential function itself.

In the third equation, the missing expression should be "1/(x * ln(a))." The derivative of the logarithm function with base "a" of a variable is equal to 1 divided by the variable multiplied by the natural logarithm of the base "a."

In the fourth equation, the missing expression should be "-1/x^2." The derivative of the reciprocal function 1 divided by a variable is equal to -1 divided by the square of the variable.

Lastly, in the fifth equation, the missing expression should be "-2x / (V(1-x^2))^2." The derivative of the reciprocal function 1 divided by the square root of a quantity (1 minus the square of a variable) is equal to -2 times the variable divided by the square of the square root of the quantity.

To summarize, the missing expressions in the given equations are 1/a, e, 1/(x * ln(a)), -1/x^2, and -2x / (V(1-x^2))^2, respectively. These expressions represent the derivatives of the respective functions with respect to their variables.

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Option (D), the last option is the correct statement, If heights in inches of 200 graduating seniors were summarized in the frequency table;

The median height is greater than or equal to 60 inches but less than 66 inches.

The median is the number value that separates the lower and upper values to halves. The median height is determined by arranging all the given heights in order either from the smallest to highest or from highest to smallest without skipping any measurement of the heights.

After arranging all the heights in order, the median height is usually at the middle.

The reason as to why the median height is greater than or equal to 60 inches but less than 66 inches is because the middle height should not be same as the largest height of 66 inches. It is possible to have multiple 60 inch heights from the 200 seniors. It is also possible to have multiple 66 inch of heights from the 200 seniors.

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Answer:

Answer is 4/1 or 8/2

Hope it helps.......

Answer:

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4 as a fraction is 2/5.

Answer:

Step-by-step explanation:

210 - (0.45 * 210) = 116.5

To make $4,500 in a single week, Norma needs to earn a total of:

$4,500 = (total earnings from hourly pay) + (total earnings from commission)

Let's first calculate Norma's total earnings from hourly pay:

(total earnings from hourly pay) = (hourly rate) x (number of hours worked)

(total earnings from hourly pay) = $25/hour x 35 hours/week

(total earnings from hourly pay) = $875/week

Now, let's calculate the total amount of sales she needs to make to earn $4,500:

(total earnings from commission) = (total sales) x (commission rate)

(total earnings from commission) = (total sales) x 0.15

(total sales) = (total earnings from commission) / 0.15

(total sales) = ($4,500 - $875) / 0.15

(total sales) = $3,625 / 0.15

(total sales) = $24,166.67

Therefore, Norma needs to make $24,166.67 in sales to earn $4,500 in a single week, assuming she works 35 hours and receives a commission rate of 15%.

Answer:

A=18 because 6+18 (was 6+a) is 24 - 11 = 13

Step-by-step explanation:

A=18

Answer:

a = 4

Step-by-step explanation:

add 11 on the = side 11+13 = 24

now you're left with: 6a=24

divide 6÷24

a= 4

Inequality stating that there are 8000 sq. m. of land available: Let B be the number of units of house B and C be the number of units of house C.

Therefore,B+C ≤ 8000/200 [Reason: House C requires 200 sq. m. of land]⇒B+C ≤ 40b. Inequality that the engineer has at most 6400 man-hour available for construction:

160B + 256C ≤ 6400c

Inequality stating that the engineer has at least 12 million pesos to spend for materials:

600B + 800C ≤ 12000d

. Let us write down a table to calculate the cost, income and profit as follows:Units of house BLabor Hours per unit of house BUnits of house CLabor Hours per unit of house CTotal Labor HoursMaterial Cost per unit of house BMaterial Cost per unit of house CTotal Material CostIncome per unit of house BIncome per unit of house C

Total IncomeTotal ProfitBC=8000/200-B160CB+256C600000800000+256C12,000,0003,500,0004,000,0003,500,000B+C ≤ 40 160B + 256C ≤ 6400 600B + 800C ≤ 12000 Units of house B requires 160 man-hour and a unit of house C requires 256 man-hour.

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Answer:

40 customers

Step-by-step explanation:

40% brown,

25% black

20% blonde

15% red

100% = 160

(40* 160)/ 100

6400 / 100 = 64

40% = 64 customers

(15 * 160)/100

2400/100 = 24

15% = 24 customers

64 customers - 24 customers =40 customers.

What are the options un this

a) According to the Central Limit Theorem, the distribution of sample means for a sufficiently large sample size will be normally distributed.

Therefore, the shape of the distribution of the sample means will be approximately Normal.

b) Mean of the sampling distribution of sample means = μ = 2.85 hours Standard deviation of the sampling distribution of sample means = \[\frac{\sigma }{\sqrt{n}} = \1.2} {\sqrt {150}} = 0.098\] hours Hence, the mean will be 2.85 hours and the standard deviation will be 0.098 hours.

The term "standard deviation" (or "") refers to a measurement of the data's dispersion from the mean. A low standard deviation implies that the data are grouped around the mean, whereas a large standard deviation shows that the data are more dispersed.

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If Elish was required to write a 600 word Literature essay and word count on her computer showed that she had typed 240 words Elish still needs to complete 3/5 of the essay.

To find the fraction of the essay that Elish still needs to complete, we need to determine how many words she has left to write. We can do this by subtracting the number of words she has already written from the total required word count:

Words left to write = Total word count - Words already written

Words left to write = 600 - 240

Words left to write = 360

Now, to find the fraction of the essay that Elish still needs to complete, we can express the remaining words as a fraction of the total word count:

Fraction of essay left to complete = Words left to write / Total word count

Fraction of essay left to complete = 360 / 600

We can simplify this fraction by dividing both the numerator and denominator by their greatest common factor, which is 120:

Fraction of essay left to complete = (360 ÷ 120) / (600 ÷ 120)

Fraction of essay left to complete = 3 / 5

This means that she has completed 2/5 of the essay so far (which is the equivalent fraction of 240/600).

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Answer:

(b) 26.6 days

Step-by-step explanation:

Half life, T =  4 days

initial amount, No = 100 mg

(a) The exponential function is given by

\(N = No e^{-\lambda t}\\\\N = No e^{\frac{-0.693t}{T}}\\\\N = No e^{\frac{-0.693t}{4}}\\\\N = No e^{\frac{-0.17325t}{T}}\\\\\)

where, N is the amount left.  

(b) N = 1 mg

\(N = No e^{\frac{-0.17325t}{4}}\\\\1 = 100 e^{\frac{-0.17325t}{4}}\\\\4.605 = 0.17325 t \\\\t=26.6 days\)

Hey there! :)

Answer:

1,500,000.

Step-by-step explanation:

Convert to standard notation by first deriving the value of 10 to the exponent given:

\(10^{6} = 1,000,000\) (6 zeros)

Multiply:

1.5 × 1,000,000 = 1,500,000

Answer:

B

Step-by-step explanation:

f(x)=(x+3)2 3 units to the left

f(x)=(x-3)2 3 units to the right

f(x)=(x)2+5 upward 5 units

f(x)=(x)2-5 downward 5 units

Based on the characteristics of the distribution, the probability that the first goal is scored in less than 4 minutes is 0.

For us to be able to calculate the probability that the first goal is scored in less than 4 minutes, the distribution needs to satisfy the requirements of the Central Limit Theorem(CLT).

Based on the fact that the distribution here is extremely right skewed, then it does not satisfy the requirements of CLT so the probability is 0.

First part of question:

The distribution of the time it takes for the first goal to be scored in a hockey game is known to be extremely right skewed with population mean 12 minutes and population standard deviation 8 minutes.

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Answer:

y=2x+13

Step-by-step explanation:

find gradient which is -2

-7-3/0--5=-10/5 =-2

y-3 =-2. (cross multiply)

x--5

y-3=2x+10

y=2x+13

0.529 is the probability that a student does not have a college degree.

From the information given, we know that:

The formula for conditional probability:

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

Let A be the event of not having a college degree, and B be the event of being married. We want to find P(A).

Using these values, we can calculate:

P(college degree and B) = (1/2) * (400/850) = 0.235

P(A and B) = 310/850 - 0.235 = 0.07

Finally, we can calculate P(A) using the formula for total probability:

P(A) = 1 - P(college degree)

= 1 - (400/850)

= 0.529

Therefore, the probability that a student does not have a college degree is 0.529.

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Answer:

It should be in between 8 or 9

Step-by-step explanation:

There are 7 numbers, so the median is the middle one:

=8

Answer: 12 blueberry muffins

Step-by-step explanation:

Answer:

red = 28 apples

green = 13 apples

equations:

r + g = 41

r = g + 15

Step-by-step explanation:

r = number of red

g = number of green

r = g + 15 (the number of red apples is 15 more than the number of green apples)

r + g = 41

Substitute the first equation into the second and solve for a numerical value of g

(g + 15) + g = 41

2g + 15 = 41

2g = 26

g = 13

Now solve for a numerical value of r

r = g + 15

r = 13 + 15

r = 28

checking the math:

r + g = 41

28 + 13 = 41

Please lmk if you have any questions.

1) 23

That's all I know lol

The person has walked a total of 28 miles. To calculate total distance walked by the person, we add up the distances in each direction

5 miles East + 6 miles Southeast + 6 miles South + 7 miles Southwest + 4 miles East

When we add these distances together, we get:

5 + 6 + 6 + 7 + 4 = 28

Therefore, the person has walked a total of 28 miles.

In more detail, let's break down the distances walked in each direction:

- 5 miles East: This means the person walked 5 miles in the East direction.

- 6 miles Southeast: This means the person walked 6 miles in the direction that is both South and East.

- 6 miles South: This means the person walked 6 miles in the South direction.

- 7 miles Southwest: This means the person walked 7 miles in the direction that is both South and West.

- 4 miles East: This means the person walked 4 miles in the East direction.

By adding up these distances, we find that the person has walked a total of 28 miles.

#A person starts walking from home and walks: 5 miles East 6 miles Southeast 6 miles South 7 miles Southwest 4 miles East This person has walked a total of ---miles

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Answer:

Below

Step-by-step explanation:

As I posted ....looks to be 147°

The price per cup is $0.97.

The usual operators for math: the unary - (negation) and the binary + (addition), - (subtraction), * (multiplication), and / (division) They all work with actual numbers.

Given cost of  2-quart carton of frozen yogurt is $7.76,

1 cup = 0.25 quart

2 quart  = 8 cup

1 cup = (2 quart)/8

1 cup = 7.76/8

1 cup = $0.97

Hence the price of frozen yogurt per cup is $0.97.

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If Sergio draws a rectangle with a length of 27 centimeters, the width of the rectangle must be 9 centimeters to maintain the same proportional relationship as Catlynn's rectangle.

The proportional situation represents (indirect, direct) variation: Direct variation.

In direct variation, two variables are related in such a way that an increase in one variable leads to a proportional increase in the other variable. In this case, the length and width of the rectangle are directly related to its area. As the length increases, the width also increases proportionally to maintain the same area.

If Sergio draws a rectangle with a length of 27 centimeters, the width of the rectangle must be (9, 6, 4) centimeters: 9 centimeters.

Since we know that the constant of variation, k, is 3, we can use it to find the width when the length is 27 centimeters. By rearranging the formula for direct variation, we have width = length / k. Substituting the values, we get width = 27 / 3 = 9 centimeters.

Therefore, if Sergio draws a rectangle with a length of 27 centimeters, the width of the rectangle must be 9 centimeters to maintain the same proportional relationship as Catlynn's rectangle.

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