Santa owes $11 to Mrs. Claus and $13 to his elf. What is the effect on his budget?

The volume of the rectangular prism is 208cm³

Volume' is a mathematical quantity that shows the amount of three-dimensional space occupied by an object or a closed surface. The unit of volume is in cubic units such as m3, cm3, in3 etc. Sometimes, volume is also termed capacity.

The volume of a rectangular a prism is expressed as base area × height. The base area is a rectangle and the area of a rectangle is Length × width

length = 2cm

width = 13 cm

height = 8cm

base area = 13× 2 = 26cm²

Volume of the prism = 26× 8 = 208cm³

Therefore the volume of the rectangular prism is 208cm³.

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Answer:

1/10x + -4

Step-by-step explanation:

did it on think central

Answer:

1.029 is greater than 1.0275

Step-by-step explanation:

Answer:

1.029

Step-by-step explanation:

What is greater 1.0275 or 1.029

.027 < .029

So, 1.029 is greater.

The statement that the ratio 1.000 kilograms to 1 gram can be used for converting units is false. The correct Ratio is 1 kilogram to 1000 grams.

The statement "One ratio you could use for converting units is 1.000 kilograms to 1 gram" is false.

When converting units, it is important to use the correct conversion factors that relate the two units being converted. In this case, the ratio given is 1.000 kilograms to 1 gram, which implies that 1 kilogram is equal to 1 gram. However, this is incorrect.

The correct conversion factor between kilograms and grams is that 1 kilogram is equal to 1000 grams. This means that to convert kilograms to grams, you multiply the value in kilograms by 1000. Conversely, to convert grams to kilograms, you divide the value in grams by 1000.

So, the correct ratio for converting kilograms to grams is 1 kilogram to 1000 grams, or 1:1000. Therefore, the statement that the ratio 1.000 kilograms to 1 gram can be used for converting units is false. The correct ratio is 1 kilogram to 1000 grams.

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The input is the number you feed into equations, where as the output is the number you get when calculations are finished!

I hope this was helpful!!!

Answer:

The arithmetic mean of two numbers is found by adding them together and dividing the sum by 2.

So, the arithmetic mean of 4 and 18 is:

(4 + 18) / 2 = 22 / 2 = 11

Therefore, the arithmetic mean of 4 and 18 is 11.

Step-by-step explanation:

Answer:

STEP 1:let the arithmetic mean be p, q, r hence 4,p, q, r, 18

STEP 2:U5=18=a+4d

a+4d=18

we're a=4 therefore

4+4d=18

STEP 3:4d/4=(18-4)÷4=14/4

d=14/4=3.5

p=U2=a+d=4+3.5=7.5

q=U3=a+2d=4+(2×7.5)

=

From the diagram given in the question, we are asked to find the missing length indicated.

We can see from the diagram that the right triangles are similar, so the ratio of hypotenuse to short leg is the same for all.

So,

x/900 = (1600 + 900)/x

Let's cross multiply:

x² = 900(2500)

let's take square of both sides:

x = √(900) * √(2500)

x = 30(50)

x = 30 * 50

x = 1500

Therefore, the missing length is 1500

Let’s solve the equation x^2 - 4x = 5 by factoring:

First, we’ll move all the terms to one side of the equation:

x^2 - 4x - 5 = 0

Now, we’ll factor the left side of the equation. We’re looking for two numbers that multiply to -5 and add to -4. Those numbers are -5 and 1. So we can write:

(x - 5) (x + 1) = 0

Now we’ll use the zero-product property to solve for x. This property states that if the product of two numbers is zero, then at least one of the numbers must be zero. So we have:

x - 5 = 0 or x + 1 = 0

Solving each equation separately, we find that x = 5 or x = -1.

So, the solutions to the equation x^2 - 4x = 5 are x = 5 and x = -1.

A WHOLE pargraph  or just a a eqaution

By use of determinants, the solution to the system of linear equations is: x = - 17 / 39, y = 71 / 39, z = 22 / 39

In this problem we find a system of three linear equations with three variables. This kind of system can be solved by means of determinants. For this case, we can use Sarrus law and the following definition:

x = D₁ / D, y = D₂ / D, z = D₃ / D

\(D = \left|\begin{array}{ccc}1&- 1&3\\4&1&- 2\\2&- 3&1\end{array}\right|\)

D = 1 - 36 + 4 - 6 + 4 - 6

D = 9 - 48

D = - 39

\(D_1 = \left|\begin{array}{ccc}- 4&- 1&3\\1&1&- 2\\- 7&- 3&1\end{array}\right|\)

D₁ = - 4 - 9 - 14 + 21 + 1 + 24

D₁ = - 29 + 46

D₁ = 17

\(D_{2} = \left|\begin{array}{ccc}1&-4&3\\4&1&- 2\\2&- 7&1\end{array}\right|\)

D₂ = 1 - 84 + 16 - 6 + 16 - 14

D₂ = - 104 + 33

D₂ = - 71

\(D_{3} = \left|\begin{array}{ccc}1&- 1&-4\\4&1&1\\2&- 3&-7\end{array}\right|\)

D₃ = - 7 + 48 - 2 + 8 - 28 + 3

D₃ = 22

x = - 17 / 39

y = 71 / 39

z = 22 / 39

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The roots of the quadratic equation \(3x^2 - 14x - 5 = 0\), in exact square root form, are x = 5 and x = -1/3.

Using the quadratic formula to solve the quadratic equation \(3x^2 - 14x - 5 = 0\),we have

\(x = (-(-14) ± sqrt((-14)^2 - 4(3)(-5))) / (2(3))\\x = (14 ± sqrt(14^2 + 4(3)(5))) / (2(3))\\x = (14 ± sqrt(196 + 60)) / 6\\x = (14 ± sqrt(256)) / 6\\x = (14 ± 16) / 6\\\)

Therefore, the two roots of the quadratic equation in exact square root form are:

\(x = (14 + 16) / 6 = 5\\x = (14 - 16) / 6 = -1/3\\\)

Thus, the roots of the quadratic equation \(3x^2 - 14x - 5 = 0\), in exact square root form, are x = 5 and x = -1/3.

A quadratic equation is a second-degree polynomial equation in one variable of the form:

\(ax^2 + bx + c = 0\)

where x is the variable, and a, b, and c are constants. In this equation, the highest power of x is 2, and it is called the coefficient of x^2. The coefficient of x is b, and the constant term is c.

The quadratic equation is called "quadratic" because the highest power of x is a square (i.e., x^2), and the graph of the equation is a parabola.

The quadratic equation can have zero, one, or two real solutions, depending on the values of a, b, and c. The solutions can be found by using the quadratic formula:

\(x = (-b ± √(b^2 - 4ac)) / 2a\)

where the symbol ± means "plus or minus" and the square root is of the discriminant (b^2 - 4ac).

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The volume of the tree stump is approximately 1005.3 cubic inches when rounded to the nearest tenth.

To calculate the volume of the tree stump, we can use the formula for the volume of a cylinder, which is given by:

Volume = π * r^2 * h

Given:

Radius (r) = 20 inches

Height (h) = 0.7 feet

First, let's convert the height from feet to inches since the radius is already in inches. There are 12 inches in 1 foot, so:

Height (h) = 0.7 feet * 12 inches/foot = 8.4 inches

Now, we can substitute the values into the volume formula:

Volume = π * (20 inches)^2 * 8.4 inches

Calculating the volume:

Volume = 3.14159 * (20 inches)^2 * 8.4 inches

≈ 3.14159 * 400 inches^2 * 8.4 inches

≈ 1005.3096 cubic inches

Rounding the volume to the nearest tenth:

Volume ≈ 1005.3 cubic inches

Therefore, the volume of the tree stump is approximately 1005.3 cubic inches when rounded to the nearest tenth.

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Answer:

multiply 0.75 × 10 = 7..50

Answer:

2

Step-by-step explanation:

this one is correct

1/5+1/5=2/5

Answer:

if this is a riddle the answer is 4

Step-by-step explanation:

i know this riddle lol

Answer:

4

Step-by-step explanation:

I hope this helps

Answer:

None of the above the answer is −

10d4+17sd2−6s2

Step-by-step explanation:

The labeling of bases and height in a trapezium is not fixed and can vary based on the context or problem. It doesn't matter where they are on the trapezium, as long as they are clearly defined and consistent within the given situation.

In a trapezium (or trapezoid), the labeling of the bases and height is not fixed or standardized. It can vary depending on the context or the specific problem being considered. However, there are a few general guidelines to keep in mind when labeling a trapezium.

Bases: The trapezium has two parallel sides, often referred to as the "top base" and the "bottom base." The bases are usually labeled based on their relative lengths or position in the trapezium. The longer parallel side is commonly referred to as the "top base," while the shorter parallel side is referred to as the "bottom base." However, this is not a strict rule and can vary depending on the problem or preference.

Height: The height of a trapezium is the perpendicular distance between the bases. It is generally labeled as a vertical line segment connecting the bases. The placement of the height is not fixed, and it can be drawn from any point on the top base to any point on the bottom base, as long as it forms a perpendicular line. The height is usually labeled with the symbol "h" or sometimes "x" or "y" depending on the context.

It's important to note that the labeling of the bases and height is primarily for communication and clarity. As long as the labeling is consistent and clearly defined within the given problem or context, it does not have to conform to any specific arrangement or be in a rectangular shape. The key is to ensure that the labels are clearly understood and can be used to calculate the desired quantities or solve the problem at hand.

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f(x) = x^3 - 6x^2 + 12x the function is increasing for x < -2, increasing for x > 4 and decreasing for -2 < x < 4. The critical value that will give you a relative maximum is x = 4. The critical value that will give you a relative minimum is x = -2.

The derivative of the given function is f'(x) = 3x^2 - 12x + 12. Setting this equal to 0 gives us x = 0 and x = 4. By the first derivative test, we can determine that the function is increasing for x < -2, increasing for x > 4 and decreasing for -2 < x < 4. Therefore, the critical value that will give us a relative maximum is x = 4 and the critical value that will give us a relative minimum is x = -2. This can be verified by finding the second derivative of the function, which is f''(x) = 6x -12. Setting this equal to 0 gives us x = 2, which is between the two critical values. Since the second derivative is negative for x < 2, the critical value at x = -2 will give us a relative minimum and since it is positive for x > 2, the critical value at x = 4 will give us a relative maximum.

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The contractor should lower the ramp by approximately 4.62° to meet safety regulations.

We have,

To determine the angle created by the bottom of the ramp and the ground, we can use the trigonometric function of sine.

In the given triangle, the height is 6 ft and the base is 16 ft.

The angle we want to find is opposite the height (let's call it θ).

The sine of an angle is defined as the ratio of the opposite side to the hypotenuse.

sin(θ) = opposite/hypotenuse

sin(θ) = 6/16

sin(θ) = 0.375

To find the angle θ, we can take the inverse sine (also known as arcsine) of 0.375:

θ = arcsin(0.375)

θ ≈ 22.62°

To meet safety regulations, the angle should be no more than 18°. Therefore, the contractor needs to lower the ramp by:

22.62° - 18° ≈ 4.62°

Thus,

The contractor should lower the ramp by approximately 4.62° to meet safety regulations.

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Answer:

they are related by numbers

One way Olivia might have moved ABCDE onto A"B"C"D"E" is by first reflecting ABCDE over the x-axis, and then translating it 4 units to the left and 6 units down.

1) This would map point A to A", B to B", C to C", D to D", and E to E", creating A"B"C"D"E".

2) Angelica's transformation does not result in a figure that matches A"B"C"D"E". Reflecting ABCDE over the y-axis would map point A to A", B to E", C to D", D to C", and E to B", so the shape would be flipped horizontally. Translating it up 8 units would then shift the shape up, but it would still be horizontally flipped, so it would not match A"B"C"D"E".

3) Michael's claim is not correct. Translating ABCDE diagonally 8 units up and 10 units right would move point A to point J, which is not on A"B"C"D"E". The other points would also not be in their correct positions, so the resulting shape would not match A"B"C"D"E". To get to A"B"C"D"E" with one transformation, Michael would need to use a combination of translation, rotation, and/or reflection.

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Answer: 126

Step-by-step explanation: this is the distributive property so you multiply the number outside the parentheses times the numbers inside the parentheses

Answer:

Step-by-step explanation:

bond issue that is structured so that a portion of the outstanding bonds mature at regular intervals until all of the bonds have matured. Because the bonds mature gradually over a period of years, these bonds are used to finance projects that provide a consistent income stream for bond repayment.

Answer:

As = 256\(\pi\) or 804.25cm

Step-by-step explanation:

By formula As = \(4\pi r^{2}\)

As = 256\(\pi\) or 804.25cm

Answer:

$40.00 is the answer

Step-by-step explanation:

also can you mark me as a brainlist if you get a chance

Answer: $40.00

Step-by-step explanation:

12 is 30% of 40

The amount of dry ingredients used in the cake recipe is approximately 7 cups.

We have,

3 ½ cups of flour, 2 ⅔ cups of sugar, and 1 ¾ cups of cocoa.

Now, first convert all quantity in same unit.

3 ½ cups of flour

= 3 cups + 0.5 cups

= 3 cups and 8 ounces.

and, 2 ⅔ cups of sugar

= 2 cups + 0.67 cups,

= 2 cups and 10.72 ounces.

and, 1 ¾ cups of cocoa

=1 cup + 0.75 cups

= 1 cup and 12 ounces.

So, the total amount

= 3 cups and 8 ounces + 2 cups and 10.72 ounces + 1 cup and 12 ounces = 6 cups and 14.72 ounces

= 7 cups

Therefore, the amount of dry ingredients used in the cake recipe is approximately 7 cups.

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The domain of the question is expressed as; 0 ≤ x ≤ 4

The range of the question is expressed as; 100 ≤ f(x) ≤ 207.36

The domain of a graph is defined as the set of all possible input values that makes the function possible while the range is defined as the set of all possible output values that can result from the possible input values.

Now, we are told that the insect population increases by 20% each month from May 1 to September 1.

The function that represents the insect population after x months is;

f(x) = 100(1.2)ˣ

Thus, the domain is from x = 0 to 4 months inclusive. 0 ≤ x ≤ 4

f(0) = 100(1.2)⁰

f(0) = 100

f(4) = 100(1.2)⁴

f(4) = 207.36

100 ≤ f(x) ≤ 207.36

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Answer:

1. 5² is 25 yards

2. 7² is 49m

3. 8² is 64cm

4.draw a square, make one side 6 feet then do 6² which is 36feet

5. do the same thing then write 10 inches on one side and 10² is 100 inches.

6. 7x3= 21 ft

7. 5x4= 20 in.

8. 2x8= 16 yd

Step-by-step explanation:

common sense

The expression 2 - 5(x - 1) is a linear expression

From the question, we have the following parameters that can be used in our computation:

2 - 5(x - 1)

The general rule is that

Using the above as a guide, we have the following:

2 - 5(x - 1) is a linear expression

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