type the correct answer in the box. use numerals instead of words. the composite figure shown has a surface area of 844 square centimeters. 3-d composite shape formed by placing a rectangular pyramid over a rectangular prism that shares a common base. prism has a length of 18 centimeters, a width of 10 centimeters, and a height labeled x centimeters. height of pyramid is 12 centimeters. what is the height of the rectangular prism? the height of the prism is centimeters.

Answer:

1 Solar day = 86,400 seconds (SI Base Unit)

1 day = 1,440 minutes

Step-by-step explanation:

If need anymore help just ask I'm not really good at explaining but I'll try just comment haha ☺️

1) The x-intercept lies at (1, 14), and the y-intercept lies at (3, 42).

2) This means that after 3 cuts, the length of the string is 33 inches.

3) Therefore, the 42-inch string can be cut into 14 pieces of 3 inches each.

The x-intercept is the point on the graph where a line crosses the x-axis.

The y-intercept is the point on the graph where a line crosses the y-axis.

The x- and y-intercepts are the coordinate points for graphing data.

Thus, the x- and y-intercepts are coordinate points where the graph of a function or an equation touches the two axes.

Learn more about the x- and y-intercepts at https://brainly.com/question/24609929

#SPJ1

The value of the integral is 2pi.

To interpret the given integral in terms of areas, we need to recognize that the integrand, \(\sqrt(4-x^2),\) represents the upper half of a circle with radius 2 centered at the origin.

First, we can sketch the graph of\(y = \sqrt(4-x^2)\)over the interval [-2, 2]:

      |         /\            |

   2 |       /    \          |

      |      /        \       |

     |     /            \     |

     |_/_____  __\_|

         -2         2

The integral can be evaluated as follows:

\(int_(-2)^2 \sqrt(4-x^2) dx\) = area of upper half of circle with radius 2 and center at (0, 0)

                         = (1/2) * pi *\(r^2\), where r = 2

                         = (1/2) * pi * 4

                         = 2pi

Therefore, the value of the integral is 2pi.

Learn more about definite integral

brainly.com/question/29974649

#SPJ11

the mean score for a critical reading test, using Excel, the probability that a random sample of 500 students will have a mean score of more than 590 can be calculated to be approximately 0.408.

To calculate the probabilities using Excel, we can utilize the standard normal distribution. First, we need to convert the sample means to z-scores by using the formula: z = (sample mean - population mean) / (population standard deviation / sqrt(sample size)). For the sample mean of more than 590, we can calculate the probability of z being greater than the corresponding z-score using the formula "=1-NORM.S.DIST(z-score,TRUE)". In this case, the z-score is (590 - 580) / (115 / sqrt(500)), which gives approximately 0.408.

Similarly, for the sample mean of less than 575, we calculate the probability of z being less than the corresponding z-score using the formula "=NORM.S.DIST(z-score,TRUE)". The z-score is (575 - 580) / (115 / sqrt(500)), which gives approximately 0.084.

Therefore, the probability that a random sample of 500 students will have a mean score of more than 590 is approximately 0.408, and the probability that the sample mean is less than 575 is approximately 0.084.

Learn more about mean here:

https://brainly.com/question/31101410

#SPJ11

Answer:

Equally likely

Step-by-step explanation:

Hope this is right!

Answer:

2

Step-by-step explanation:

a) From the given information , upon calculation , the inventory turnover is 4.8 times.

To calculate the inventory turnover, we need to divide the cost of goods sold (COGS) by the average inventory. The quick ratio given is 1.56, which can help us find the average inventory.

Quick Ratio = (Current Assets - Inventory) / Current Liabilities

Rearranging the formula, we can find the inventory:

Inventory = Current Assets - (Quick Ratio * Current Liabilities)

= $950,000 - (1.56 * $450,000)

= $950,000 - $702,000

= $248,000

Now, we can calculate the inventory turnover:

Inventory Turnover = COGS / Average Inventory

Given that COGS is $1,200,000 and the average inventory is $248,000:

Inventory Turnover = $1,200,000 / $248,000

≈ 4.8 times

The inventory turnover is approximately 4.8 times. This means that the company sells and replaces its inventory about 4.8 times during the given period. A higher inventory turnover generally indicates efficient inventory management, as it implies that the company is selling its goods quickly and minimizing the risk of inventory obsolescence or spoilage.

To know more about  inventory turnover, visit;
https://brainly.com/question/30410494

#SPJ11

a) The number of units that produces maximum profit is: q = 11/6.

b) The price per unit that produces maximum profit is: p = 36.

c) The maximum profit is P = -698/9.

The cost and profit functions are given as:

C(q) = 80 + 14q

p = 58 - 12q

To find the number of units that produces maximum profit, we need to find the value of q that maximizes the profit function.

The profit function, P(q), is given by:

P(q) = Revenue - Cost

The revenue is given by:

Revenue = Price * Quantity

R(q) = p * q

The cost is given by:

Cost = Fixed Cost + Variable Cost

C(q) = 80 + 14q

Substituting the given price equation p = 58 - 12q into the revenue equation, we get:

R(q) = (58 - 12q) * q

Now we can express the profit function in terms of q:

P(q) = R(q) - C(q)

P(q) = (58 - 12q) * q - (80 + 14q)

P(q) = 58q - 12q² - 80 - 14q

P(q) = -12q² + 44q - 80

a) To find the number of units that produces maximum profit, we need to find the value of q that maximizes the profit function P(q). This can be done by taking the derivative of P(q) with respect to q and setting it equal to zero.

P'(q) = -24q + 44

-24q + 44 = 0

-24q = -44

q = 44/24

q = 11/6

So, the number of units that produces maximum profit is q = 11/6.

b) To find the price per unit that produces maximum profit, we can substitute the value of q = 11/6 into the price equation p = 58 - 12q:

p = 58 - 12 * (11/6)

p = 58 - 22

p = 36

So, the price per unit that produces maximum profit is p = 36.

c) Finally, to find the maximum profit, we can substitute the value of q = 11/6 into the profit function P(q):

P(q) = -12 * (11/6)² + 44 * (11/6) - 80

Simplifying the expression, we get:

P(q) = 88/3 - 484/18 - 80

P(q) = 88/3 - 242/9 - 80

P(q) = (264 - 242 - 720)/9

P(q) = -698/9

So, the maximum profit is P = -698/9.

Read more about Profit functions at: https://brainly.com/question/25638609

#SPJ1

- Events A, B, C, and D are exhaustive.
- Events A and B, B and D are not mutually exclusive.
- Events A and C, C and D, A and D are mutually exclusive.

To determine whether the events are exhaustive or mutually exclusive, we need to understand the definitions of these terms:
1. Exhaustive events: Events are considered exhaustive if the union of all the events covers the entire sample space S. In other words, there are no outcomes in the sample space that are not included in any of the events.
2. Mutually exclusive events: Events are considered mutually exclusive if they have no outcomes in common. In other words, the events cannot occur simultaneously.
Now let's analyze the given events:
A = {1, 2, 4}
B = {1, 2, 4, 5, 6}
C = {5, 6}
D = {2, 3, 6}
To determine if the events are exhaustive, we need to check if their union covers the entire sample space S.
The union of A, B, C, and D is {1, 2, 3, 4, 5, 6}, which covers the entire sample space S. Therefore, the events A, B, C, and D are exhaustive.

To determine if the events are mutually exclusive, we need to check if any outcomes are shared between the events.
The outcomes 1, 2, and 4 are shared between events A and B. Therefore, events A and B are not mutually exclusive.
The outcomes 2 and 6 are shared between events B and D. Therefore, events B and D are not mutually exclusive.
No outcomes are shared between events A and C, C and D, or A and D. Therefore, events A and C, C and D, and A and D are mutually exclusive.

Learn more about exhaustive

https://brainly.com/question/32891238

#SPJ11

Hence ,  approximately 66.4 ml of acid in the solution.

What is acid solution?

Higher than that of pure water, an acidic solution has a high concentration of hydrogen ions (H +start superscript, plus, end superscript). A basic solution has a lower concentration of H +start superscript, plus, end superscript than pure water.

What is a hydrogen ion?

When a hydrogen atom's nucleus is separated from the orbiting electron, it becomes a hydrogen ion. The hydrogen nucleus is composed of a proton, or particle, with a single positive electric charge. Therefore, the single hydrogen ion, designated by the symbol H+, often serves as the standard representation of a proton.

GIVEN:

Water makes up 82.1% of a solution if acid makes up 17.9% of it.

We may do this by dividing the overall volume of the solution by the amount of acid present:

371 ml ×17.9% = 66.389 ml

As a result, the solution contains about 66.4 ml of acid

to know more about acid solution visit:

brainly.com/question/13208021

#SPJ1

The problem involves finding the volume of the solid that lies under the plane 4x + 6y - 2z + 15 = 0 and above a given rectangle.  

The equation of the plane suggests a linear equation in three variables, and the rectangle defines the boundaries of the solid. We need to determine the volume of the region enclosed by the plane and the rectangle.

To find the volume of the solid, we first need to determine the limits of integration in the x, y, and z directions. The rectangle defines the boundaries in the x and y directions, while the equation of the plane determines the upper and lower limits in the z direction.

By setting up appropriate integral bounds and evaluating the triple integral over the region defined by the rectangle and the plane, we can calculate the volume of the solid.

It is important to note that the specific dimensions and coordinates of the rectangle are not provided in the question, so those details would need to be given in order to perform the calculations.

To know more about solid volumes click here: brainly.com/question/23705404

 #SPJ11

Answer:

6/8

Step-by-step explanation:

If we simply 12/16, we need to divide both numerator and demonstrator by 2:

12/2 = 6

16/2 = 8

6/8

Answer:

12/16 = 6/8

Step-by-step explanation:

divide both by 2

In response to the stated question, we can state that The new balance is equation therefore $55.59.

An equation is a mathematical assertion that establishes the equality of two expressions that are joined together by the equals sign ('='). For example, 2x – 5 = 13. 2x-5 and 13 are examples of expressions. The letter '=' connects the two expressions. A mathematical formula is called an equation if it contains two algebraic expressions on either side of the equal sign (=). It shows how the right and left formulas are equivalent to one another. Any formula will result in L.H.S. = R.H.S. (left side = right side).

We must ascertain the balance that is still owing after the payment and purchase transactions have been executed in order to calculate the unpaid balance.

The balance drops to $35.51 on April 15 ($50.51 - $15.00), a reduction of $15.00.

The account balance climbs to $54.78 ($35.51 + $19.27) on April 25.

The remaining balance is $54.78 as a result.

$44.29 * (0.18 / 365) * 30 = $0.81

The finance fee is therefore $0.81.

We combine the outstanding balance and the finance charge to determine the new balance:

$54.78 + $0.81 = $55.59

The new balance is therefore $55.59.

To know more about equation visit:

https://brainly.com/question/649785

#SPJ1

Answer:

17000 grams

Step-by-step explanation:

A kilogram is 1000 grams so if you want to find out what 17 kilograms in grams is, you have to multiply the kilograms by 1000:

17 * 1000 = 17000 grams

Answer:

17000

Step-by-step explanation:

multiply the mass value by 1000

I hope this helps!

Audrey's September savings should not be multiplied by 4, as the total savings are different of the multiplication of September's Savings and 4.

Audrey's total savings is given by the sum of the savings of each month.

From the table given by the image at the end of the answer, the savings for each month are given by:

Then the total savings are obtained as follows:

Total Savings = 68 + 31 + 158 + 74.75 = $331.75.

The multiplication of September's savings and 4 is of:

68 x 4 = $272.

Different result of the total savings of $331.75, hence the multiplication should not be applied.

The table with the savings is given by the image presented at the end of the answer.

More can be learned about the addition of amounts at https://brainly.com/question/27672495

#SPJ1

Use a half angle formula or formula for reducing powers The \((cos(8x))^2\) = \((cos^2(4x)/2)\) + \((cos^2(4x)/2)\) * cos(0.5x).

To fill in the blanks in the identity \((cos(8x))^2\) = __ *+____ * cos(___x), we can utilize the half-angle formula for cosine. The half-angle formula states that cos(θ/2) = ±√((1 + cos(θ))/2), where the sign depends on the quadrant in which θ/2 lies.

In this case, we have cos(8x), so we can express it as cos(2 * 4x). By applying the half-angle formula, we can rewrite cos(8x) as cos(4x) = ±√((1 + cos(2 * 4x))/2).

Next, we notice that cos(2 * 4x) is of the form cos(2θ), so we can use the formula for reducing powers of cosine, which is cos(2θ) = 2\(cos^2\)(θ) - 1. Thus, cos(2 * 4x) = 2c\(os^2\)(4x) - 1.

Substituting this result back into the half-angle formula, we have cos(8x) = ±√((1 + 2\(cos^2\)(4x) - 1)/2), which simplifies to ±√(\(cos^2\)(4x)/2).

Therefore, the identity \((cos(8x))^2\) = __ *+____ * cos(___x) can be filled in as follows:

\((cos(8x))^2\) = (\(cos^2\)(4x)/2) + (\(cos^2\)(4x)/2) * cos(0.5x).

Please note that the ± sign can be used to represent both positive and negative values depending on the specific context of the problem.

For more such questions angle,click on

https://brainly.com/question/25716982

#SPJ8

Answer:

in simplified version   it would be x ≤-4

Step-by-step explanation:

multiply each term in x ≤-4 by -1

Angelica constructs a regular tetrahedron

The surface area of the regular tetrahedron is 339.08 \(in^{2}\)

"It is a triangle that has all its sides equal in length and all angles are 60° in measure."

"Two or more triangles are congruent if all three corresponding sides are equal and all the three corresponding angles are equal in measure."

"It is a triangular pyramid having congruent equilateral triangles for each of its faces."

\(A=\sqrt{3}\times a^{2}\), where 'a' is the edge length of tetrahedron

For given question,

Angelica used four congruent equilateral triangles.

She constructs a regular tetrahedron using four congruent equilateral triangles.

The length of each edge of tetrahedron = side length of equilateral triangle

So, each edge of tetrahedron measures 14 inches.

Using the formula of area of the regular tetrahedron,

\(A=\sqrt{3}\times a^{2} \\\\A=\sqrt{3}\times (14)^{2}\\\\A=1.73\times 196\\\\A=339.08~~in^2\)

Therefore, the surface area of the regular tetrahedron is 339.08 \(in^{2}\)

Learn more about regular tetrahedron here:

https://brainly.com/question/17132878

#SPJ2

Answer:

On what

Step-by-step explanation:

Answer:

\(9^3\)

Step-by-step explanation:

Rules Used

\(a ^x \cdot a^y = a^{x+y}\)

\(\frac{b^x}{b^y} = b^{x-y}\)

\(\frac{9^6 \cdot 9^0 \cdot 9^4}{9^7} = 9^{6 + 0 + 4 -7} = 9^{10-7} = 9^3\)

Answer:

9^3

Step-by-step explanation:

When we want to multiply exponents, we use the formula a^m x a^n= a^m+n.

In this case, we can see that 9 is our a, and their respective exponents are mn and n.

9^6 x 9^0 x 9^4 = 9^6+0+4= 9^10

When dividing exponents we subtract the exponents for each number from the top. For example, 9^10/9^7= 9^10-7= 9^3

If we want to simplify this even further, 9^3 = 729.

Hope this helps!

:)

Answer:

y=1/4 x + 1

Step-by-step explanation:

y=mx+b

you wil have 30$ remaning

Step-by-step explanation:

becuse 100-70 is 30 becuse u spent  10 o ice tea for 1 week and theres 7 days in a week :D

Answer: 38

Step-by-step explanation:

Subtract 1/8 from 1/2

12 - 18 is 38.

Steps for subtracting fractions

Find the least common denominator or LCM of the two denominators:

LCM of 2 and 8 is 8

Next, find the equivalent fraction of both fractional numbers with denominator 8

For the 1st fraction, since 2 × 4 = 8,

12 = 1 × 42 × 4 = 48

Likewise, for the 2nd fraction, since 8 × 1 = 8,

18 = 1 × 18 × 1 = 18

Subtract the two like fractions:

48 - 18 = 4 - 18 = 38

Answer:

24 %

Step-by-step explanation:

12 out of 50 is 24%. Hope this helps ya!!

Answer:

24 percent

Step-by-step explanation:

Multiply 50 by 2 to get the standard numbers of percentile. You can then multiply all the other numbers (10, 12, 8) by 2. Do this to the 12 pecan pies and you get 24. 24 percent!

Hope this helped! Please mark me as the brainliest!

9514 1404 393

Answer:

  0.296

Step-by-step explanation:

8/27 is the repeating decimal 0.296296296...(3-digit repeat)

The ten-thousandths digit is 2, so rounding the number simply truncates it at the thousandths place.

  8/27 ≈ 0.296

Answer:

0.296

Step-by-step explanation:

a) The differences in proportions are centered around 0.00. This means that, on average, there is no difference between the proportion of students who sit in the front or back of the classroom, regardless of whether they are using a laptop or a notebook.

(b) Random assignment does not always balance the proportion of each group (laptop vs. notebook) that sit in the front or back of the classroom.

This is because random assignment is a probabilistic process, and there is always a chance that the randomization will produce unbalanced groups. However, on average, random assignment will produce balanced groups.

The graph of the differences in proportions is centered near 0 because, on average, the randomizations produce a difference of 0. However, there is some variation in the results of the randomizations, so there will be some differences in proportions that are not equal to 0.

The answer to the question "Does random assignment always balance the proportion of each group?" is no. Random assignment does not always produce balanced groups, but it does on average.

This means that if we repeated the randomization 2000 times, we would expect about 1000 of the randomizations to produce balanced groups, and about 1000 of the randomizations to produce unbalanced groups.

The answer to the question "Yes, but this would be less likely if we had larger treatment groups" is yes. If we had larger treatment groups, it would be less likely that the randomization would produce unbalanced groups.

This is because, with larger treatment groups, there is more variation in the data, which makes it more likely that the randomization will produce balanced groups.

To know more about time click here

brainly.com/question/30823895

#SPJ11

Answer:

x = 1

Step-by-step explanation:

First, combine like terms. Like terms are terms that share not only the same variable, but the same amount of that variable:

5x - 4 + 2x = 3

(5x + 2x) - 4 = 3

7x - 4 = 3

Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS. PEMDAS is the order of operation, and stands for:

Parenthesis

Exponents (& Roots)

Multiplications

Division

Addition

Subtraction

First, add 4 to both sides of the equation:

7x - 4 (+4) = 3 (+4)

7x  = 3 + 4

7x = 7

Next, divide 7 from both sides of the equation:

(7x)/7 = (7)/7

x = 7/7 = 1

x = 1 is your answer.

~

Answer:

x = 1

Step-by-step explanation:

5x - 4 + 2x = 3

7x - 4 = 3           (add the Xs together)

7x = 7                (add seven to both sides)

x = 1                  (divide both sides by 7)

Answer:

8 + 4 ÷ (-24) × (3) - 4 = 35

Step-by-step explanation:

Solving for Cartesian product n(B), we have n(B) = 72 / 24 = 3.

The Cartesian product is a mathematical operation that takes two sets and produces a set of all possible ordered pairs of elements from both sets.

In other words, if A and B are two sets, their Cartesian product (written as A × B) is the set of all possible ordered pairs (a, b) where a is an element of A and b is an element of B.

For example, if A = {1, 2} and B = {3, 4}, then A × B = {(1, 3), (1, 4), (2, 3), (2, 4)}.

By the question.

We know that n (Ax B) represents the number of elements in the set obtained by taking the Cartesian product of sets A and B.

Using the formula for the size of the Cartesian product, we have:

n (Ax B) = n(A) x n(B)

Substituting the given values, we get: 72 = 24 x n(B)

To learn more about set:

https://brainly.com/question/8053622

#SPJ1