What is the volume of the prism below?

Answer:

-7

Step-by-step explanation:

3=-3x-18

3x=-18-3

3x=-21

x=-7

Answer:

6.75 $

Step-by-step explanation:

25%

= 25 / 100

= 1 / 4

25% of $ 27

= ( 1 / 4 ) x ( 27 )

= ( 1 x 27 ) / 4

= 27 / 4

= 6.75 $

Answer:

$20.25

Step-by-step explanation:

Answer:

a)x1 = -2, x2= 2

b) x= -1

Step-by-step explanation:

we have to add 7775000 to make 7800000 from 25000 which is calculated by using Substraction method.

Subtraction in mathematics is the process of subtracting one integer from another. In other terms, the result of subtracting two from five is three. After addition, subtraction is usually the second process you learn in math class.Subtraction is the action or procedure of determining the difference between two quantities or figures. The phrase "taking away one number from another" is also used to describe the process of subtracting one number from another.

Distance to be covered altogether= 7800000 m
THE distance has covered= 25000 m.

We can calculate the thousands needs to be added in 25000 to make it 7800000 by using Substraction method:-

7800000-25000= 7775000m

hence, to make 7800000 from 25000 we have to add 7775000.

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He made $112 each week

The total amount earned in three weeks before his weekly earning was doubled = $168

The amount earned each week before his weekly earning was doubles = $168/3

The amount earned each week before his weekly earning was doubled = $56

If his weekly earning was doubled:

The amount earned each week = 2 x $56

The amount earned each week = $112

Answer:

-1

Step-by-step explanation:

Just substitute 30 for x in y = 14 - 0.5x:

y = 14 - 0.5(30)  =  14 - 15  =  -1

The percentage change from 6 to 27 is approximately 350.00%.

To calculate the percentage change, we can use the following formula:

Percentage Change = ((New Value - Old Value) / Old Value) * 100

Given:

Old Value (X) = 6

New Value = 27

Using the formula, we have:

Percentage Change = ((27 - 6) / 6) * 100

Calculating this expression, we find:

Percentage Change ≈ 350.00

Rounding the percentage change to two decimal places, we have:

Percentage Change ≈ 350.00%

Therefore, the percentage change from 6 to 27 is approximately 350.00%.

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The percentage change from 6 to 27 is approximately 350.00%.

To calculate the percentage change, we can use the following formula:

Percentage Change = ((New Value - Old Value) / Old Value) * 100

We have:

Old Value (X) = 6

New Value = 27

Using the formula, we have:

Percentage Change = ((27 - 6) / 6) * 100

Calculating this expression, we find:

Percentage Change ≈ 350.00

Rounding the percentage change to two decimal places, we have:

Percentage Change ≈ 350.00%

Therefore, the percentage change from 6 to 27 is approximately 350.00%.

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Answer:

min: (-2;-6) & (1; 3/4); max: (0;2).

Step-by-step explanation:

1) f`(x)=3x³+3x²-6x;

2) f`(x)=0, ⇒ 3x³+3x²-6x=0;

3) 3x³+3x²-6x=0; ⇒ x(x²+x-2)=0; ⇒ x(x-1)(x+2)=0; ⇒ x₁=0; x₂=1; x₃=-2;

other steps are provided in the attachment.

Answer:

To use an area model to determine the quotient of 556 and 16, we can divide a rectangle of area 556 into 16 equal parts. Each part will have an area of 556/16.

We can start by dividing 556 into 16 groups of 10 (160), and then into 16 groups of 3 (48). That leaves us with a remainder of 4.

So we have:

556 = 16 x 34 + 48 + 4

This shows that 556 can be written as 16 times some whole number (34) plus a remainder of 48 + 4/16.

Simplifying the remainder, we have:

48 + 4/16 = 48 + 1/4 = 48.25

Therefore, the quotient of 556 and 16 is:

556/16 = 34 1/4

The quotient of 556 and 16 using an area model can be determined by producing a rectangle with the total area of 556 and one side of 16. The length of the other side will be the quotient. In this case, the quotient is 34 3/4.

When asked to determine the quotient of 556 and 16 using the area model, one way to think of this is making a rectangle. The total area is 556 and one side is 16. The length of the other side will be the quotient.

Start by first estimating how many times 16 could fit into 556. Let's take 30 as an estimate, because 30*16 = 480, which is relatively close to 556. Draw a rectangle with the width of 16 and the length of 30.

Find the difference between the rectangle's area and 556. So, 556 - 480 = 76. Now, 76 is our remaining area to fill. 16 goes into 76 four more times, adding up to 64.

There is still a leftover area, which is 76-64 = 12. This is smaller than our width of 16. So, your final answer is 34 12/16 or 34 3/4 in simplest form.

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Answer:

2

Step-by-step explanation:

trust me it's 2 but I'm not for sure

Atomic orbitals are regions around an atomic nucleus where electrons are likely to be found. They have different shapes and energy levels, determining an electron's position and behavior within an atom.

Based on the given answer choices, the atomic orbitals are:

1. σ2px
2. 2s
3. π2py
4. σ1s
5. 3px
6. σ*2px

These are atomic orbitals because they describe the wave function of an electron in an atom, using a combination of quantum numbers (n, l, and m) and the type of orbital (s, p, or d). σ and π represent bonding and antibonding orbitals, respectively, while the asterisk (*) denotes an antibonding orbital.

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Answer:

x=7

Step-by-step explanation:

In order for this figure to be a rhombus, the interior sides have to  add up to 180, and the angle not given by an expression has to be 90.

90+8x+7+3x+6=180

Combine like terms

90+11x+13=180

103+11x=180

Subtract 103 from both sides

11x=77

Divide both sides by 11

x=7

1: The price-demand equation for gasoline is 0.1x + 7p = 56.

2: The price-demand equation for gasoline represents the relationship between the price per gallon (p) and the daily demand (x) measured in hundreds. The equation is given as 0.1x + 7p = 56. This equation implies that the demand for gasoline is influenced by both the price per gallon and the daily demand.

The equation suggests that for every increase of 1 in x (daily demand measured in hundreds), the price per gallon (p) needs to decrease by 0.1 in order to maintain a constant demand level. Similarly, for every increase of 7 in p (price per gallon), the daily demand (x) needs to decrease by 1 in order to maintain a constant demand level.

This equation can be used to analyze the impact of changes in price or demand on the equilibrium point where supply and demand intersect. It provides insights into the sensitivity of demand to changes in price and vice versa.

3: The price-demand equation for gasoline, 0.1x + 7p = 56, captures the relationship between the price per gallon and the daily demand measured in hundreds. It allows us to understand how changes in price and demand affect each other. By manipulating the equation, we can determine the necessary adjustments in price and demand to maintain equilibrium.

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AB²=AC²+BC² <=> AB²=10²+24²=100+576=676 <=> AB=√676=26 => x=26

In the given ∆RST,

➾Tan 53° = ST/RT

➾ 1.327 = 14/RT

➾ RT = 14/1.327

➾ RT = 10.55 (approx)

➢ Therefore, the length RT = 10.55 cm (approx)

Answer:

(0, -5)

Step-by-step explanation:

look at find the points where the origin starts which is on the y axis

Answer:

Step-by-step explanation:

03. as a percent is 30%

1.5% as a decimal is 0.75

3/4 x 80 is 60.

4 2/3 divided by 1/2 is 1.5...

Answer:

27 = 30%

28 = 0.15

29 = 60

30 = 14

Step-by-step explanation:

When you convert a decimal to a percentage, if it is set up with "0." in front, then just swap the number behind the decimal and put it in front of the zero and add a percentage sign. When converting a percentage to a decimal, you reverse the process. Then the others are simple multiplication and division! Remember, when you're dividing a fraction, use the process "KCP" (keep change flip) where you keep the first fraction in the equation, change the division sign to a multiplication sign, and flip the next fraction. (ex. 1/2 flipped to 2/1.) Then just multiply.

Answer:

437.99 or 269.13

Step-by-step explanation:

hope this helps

The quadrilateral ABCD is a trapezium is proved.

To show that quadrilateral ABCD is a trapezium (or trapezoid), we need to prove that one pair of opposite sides is parallel.

Given:

- Diagonals AC and BD intersect at point O.

- The ratio of AO to BO is equal to the ratio of CO to DO,

i.e., AO/BO = CO/DO.

Proof:

1. Consider triangle AOB and triangle COD.

2. By the property of intersecting lines,

<AOC = <BOD {vertically opposite angles}.

3. Similarly, angles COA and DOB are equal.

4. From the given ratio

AO/BO = CO/DO, we can write

AO/CO = BO/DO.

(Dividing numerator and denominator of both sides by CO)

5. By the Angle-Angle (AA) similarity criterion,

Triangles AOC and BOD are similar.

6. If triangles are similar, their corresponding angles are equal.

7. Therefore, angles ACO and BDO are equal.

8. Since angles AOC and BOD are equal, and angles ACO and BDO are equal, we have:

  ∠AOC = ∠BOD and ∠ACO = ∠BDO.

9. By the Alternate Interior Angles Theorem, since ∠ACO and ∠BDO are equal, lines AB and CD are parallel.

10. Hence, quadrilateral ABCD is a trapezium.

Therefore, by showing that one pair of opposite sides (AB and CD) is parallel, we have proved that quadrilateral ABCD is a trapezium.

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(a) We can say with 99% confidence that the true average number of kilometers an automobile is driven annually in Virginia is between 22,494.88 km and 24,505.12 km.

(b) We can assert with 99% confidence that the possible size of our error if we estimate the average number of kilometers driven by car owners in Virginia to be 23,500 kilometers per year is ±100.51 km. This means that we can expect our estimate to be off by no more than 100.51 km, 99% of the time.

What is mean?

In statistics, the mean (also known as the arithmetic mean or average) is a measure of central tendency that represents the sum of a set of numbers divided by the total number of numbers in the set.

(a) To construct a 99% confidence interval for the average number of kilometers an automobile is driven annually in Virginia, we can use the following formula:

CI = x ± z*(σ/√n)

Where x is the sample mean (23,500 km), σ is the population standard deviation (3,900 km), n is the sample size (100), and z is the critical value for the 99% confidence level (which can be obtained from a standard normal distribution table or calculator).

Using a calculator or a table, we find that the critical value for a 99% confidence level is z = 2.576.

Plugging in the values, we get:

CI = 23,500 ± 2.576*(3,900/√100)

CI = 23,500 ± 1,005.12

CI = (22,494.88, 24,505.12)

Therefore, we can say with 99% confidence that the true average number of kilometers an automobile is driven annually in Virginia is between 22,494.88 km and 24,505.12 km.

(b) To determine the possible size of our error if we estimate the average number of kilometers driven by car owners in Virginia to be 23,500 kilometers per year, we can use the margin of error formula:

ME = z*(σ/√n)

Where ME is the margin of error, z is the critical value for the 99% confidence level (2.576), σ is the population standard deviation (3,900 km), and n is the sample size (100).

Plugging in the values, we get:

ME = 2.576*(3,900/√100)

ME = 1,005.12/10

ME = 100.51

Therefore, we can assert with 99% confidence that the possible size of our error if we estimate the average number of kilometers driven by car owners in Virginia to be 23,500 kilometers per year is ±100.51 km. This means that we can expect our estimate to be off by no more than 100.51 km, 99% of the time.

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Subtraction is a mathematical operation that reflects the removal of things from a collection. The difference between −9 4/5 and −3 2/3 is -6 2/15.

Subtraction is a mathematical operation that reflects the removal of things from a collection. The negative symbol represents subtraction.

The difference between −9 4/5 and −3 2/3 is,

−9 4/5 − (−3 2/3)

= −9 4/5 + 3 2/3

= (−9+3) + (−4/5 + 2/3)

= −6 + (-2/15)

= -6 2/15

Hence, The difference between −9 4/5 and −3 2/3 is -6 2/15.

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Answer:

The graph in the attached figure

Step-by-step explanation:

we have

solve for x

-----> Multiply by

The solution is the interval--------> (-9, ∞)

All real numbers greater than  ( the number is not included)

The graph in the attached figure

The solution to the inequality 3x+7 > 13 is x > 2

The inequality is given as:

3x+7 > 13

Subtract 7 from both sides of the inequality

3x > 6

Divide both sides by 3

x > 2

This means that the solution to the inequality 3x+7 > 13 is x > 2

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Answer:

1/4

Step-by-step explanation:

Favorable Outcomes/ All Possible Outcomes= 2/8

2/8= 1/4

The answer is 1/4.

The required answer to the subtraction problem 83,456 - 728.88 is, 82,727.12

Subtraction is mathematical terminology that helps and elaborates the decrease in the original value by some value.

Here,
To perform the subtraction, you line up the decimal points and subtract the digits in each place value starting from the right. In this case, you subtract 8 from 6, which requires borrowing 1 from the digit to the left, giving you 16 - 8 = 8 in the one's place. You then subtract 2 from 5, giving you 3 in the tenth place. Continuing this process, you get the result of 82,727.12.

Thus, the answer to the subtraction problem 83,456 - 728.88 is, 82,727.12

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Answer:

640 students

Step-by-step explanation:

We are told in the question that 4 out of every 5 students owns a bicycle

This also means , out of every 5 students only 1 does not have bicycle

Then we have a ratio of 4 : 1

This means a fraction of 4/5 students own a bicycle in a school

Based on this result, how many of the 800 students in a school own a bicycle?

This calculated as:

4/5 × 800

= 640 students

Therefore, 640 students out of 800 students own a bicycle

Required area of the composite figure is 69 cm²

What is area of a composite shape?

the area covered by any composite shape. A composite shape is a shape in which some polygons are put together to form the required shape is called the area of composite shapes . These figures can consist of combinations of triangles, rectangles, squares etc. To determine the area of composite shapes, divide the composite shape into basic shapes such as square, rectangle,triangle, hexagon, etc.

Basically, a compound shape consists of basic shapes put together. This is also called a "composite" or "complex" shape. This mini-lesson explains the area of compound figures with solved examples and practice questions.

Here in this figure, we have two figures.

First one is rectangle and second one is triangle.

Length and breadth of the rectangle are 12 cm and 4 cm respectively.

So, area = Length × Breadth = 12 × 4 = 48 cm²

Again height of the triangle is (11-4) = 7 cm and base of the triangle is (12-6) = 6 cm.

So, area of the triangle = 1/2 × 7 × 6 = 3×7 = 21 cm²

Now if we add both area of rectangle and triangle then we will get area of the composite figure.

So, required area of the composite figure is ( 48+21) = 69 cm²

Therefore, option A is the correct option.

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Answer: A change from 20 to 22 represents a positive change (increase) of 10% Use the formula found below on this webpage to find the percent change by replacing the given values: Percent change = New - Old|Old| × 100% Percent change = 22 - 20 |20| × 100% = 2 20 × 100 = 10% (increase)

Answer: 10%

How: you know that 10 percent of 20 is 2 because you divide it by 10. by this you'll know that you are adding an extra 10 percent onto 20 to make it 22.

The value of the middle of the three is 25.

Let x be the first odd integer, then the next two consecutive odd integers are x+2 and x+4. The sum of these three consecutive odd integers is given as 75, so we can write the equation:

x + (x+2) + (x+4) = 75

Simplifying the left side of this equation gives:

3x + 6 = 75

Subtracting 6 from both sides gives:

3x = 69

Dividing by 3 gives:

x = 23

So the first odd integer is 23, and the next two consecutive odd integers are 25 and 27. The middle of these three is the second consecutive odd integer, which is 25. Therefore, the value of the middle of the three is 25.

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