The length of the base of a rectangular prism is 8 inches. The width of the prism is 412
inches, and the height is 312 inches. What is the volume of the prism?

Answer:

Just use reflection, rotation, and translation.

Step-by-step explanation:

Reflection is when something is reflected in an opposite direction.

Rotation is when motion rotates in either a 90 or 180 degree flip.

Lastly is translation in which an object can move up or down.

Simply apply these rules with the purpose of making the objects slide into each other and unite as one or 'coincide'. Hope this helps!

Answer:

Below

Step-by-step explanation:

If you look at the table....every value of 'x' has the same value of 'y'

  so y = (1) x  

Answer:

B

Step-by-step explanation:

note that n! = n(n - 1)(n - 2) ..... × 3 × 2 × 1

using n = 8 and r = 3 in the combination formula

[tex]\frac{8!}{3!(8-3)!}[/tex]

= [tex]\frac{8(7)(6)(5)(4)(3)(2)(1)}{3(2)(1)5!}[/tex] ← cancel 5! on denominator with 5(4)(3)(2)(1) on numerator

= [tex]\frac{8(7)(6)}{3(2)(1)}[/tex]

= [tex]\frac{56(6)}{6}[/tex] ← cancel 6 on numerator/ denominator

= 56

The linear equation that can be used to find the height considering all the information is h2 = h1 + (-0.5)(t2 - t1)

The height of a candle can be modeled by a linear function with a slope of -0.5 cm/hour.

If the height of the candle after t1 hours is h1 centimeters, then the height of the candle after t2 hours is given by h2 = h1 + (-0.5)(t2 - t1).

So, if the height of the candle after t1 hours is h1 centimetres, and after t2 hours is h2 centimeters, we have:

h2 = h1 + (-0.5)(t2 - t1)

We can use the given information to find the value of h1, and then use the equation above to find the value of h2.

However, the information given in the question is not enough to solve for h1 and h2. We need more information such as the height of the candle after a certain number of hours.

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The Factors of the given expression is  [tex](2b-x)(7x^{2} -2)[/tex]

The method of grouping, also known as grouping or factoring by grouping, is a technique used in algebra to factor polynomials by grouping terms together into pairs or sets of two or more terms.

The expression [tex]14bx^{2} -7x^{3}-4b+2x[/tex] can be factored by applying the method of grouping:

Make groups

[tex](14bx^{2} -7x^{3}) +(-4b+2x)[/tex]

The greatest common factor (GCF) of two or more numbers is the largest positive integer that divides each of the numbers evenly. In other words, the GCF is the largest number that is a factor of all the numbers.

Now take the Greatest common factor of the above equation:

[tex]7x^{2} (2b-x)-2(2b-x)[/tex]

Now take the common factor [tex](2b-x)[/tex] out:

[tex](2b-x)(7x^{2} -2)[/tex]

The Factors of the given expression [tex]14bx^{2} -7x^{3}-4b+2x[/tex]  is  [tex](2b-x)(7x^{2} -2)[/tex]

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The $7.54 money he had left for gift C.

Nolan had 20 dollars to spend on 3 gifts.

He spent 9.34 dollars on gift A and 3.12 dollars on gift B

Total Amount = 20 dollars.

Total number of gifts = 3 i .e Gift A, Gift B , Gift C.

First, let's add up the amount Nolan spent on gifts A and B:

⇒9.34 + 3.12 = 12.46

The amount spent on gifts A and gifts B is $12.46

Next, we subtract this amount from the total amount of money Nolan had:

Amount Left for Gift C = Total Amount - Total amount spend for  Gift A and Gift B.

⇒20 - 12.46 = 7.54

So,

Therefore, the Nolan had $7.54 left to spend on gift C.

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The perimeter of the isosceles trapezoid is equal to 30 inches.

This is a trapezoid in which the base angles are equal and therefore the left and right side lengths are also equal. The opposite angles are supplementary which implies they sum up to 180°.

We shall first find the length of the left and right sides which are of same length as follows:

we can get a right triangle with base (13 - 7)/2 = 3 and height 4 inches so that the hypotenuse is the length of of the sides of the trapezoid

a side of the trapezoid = √(3² + 4²) {Pythagoras rule}

a side of the trapezoid = √(9 + 16)

a side of the trapezoid = √25

a side of the trapezoid = 5

perimeter of the isosceles trapezoid = (5 + 7 + 5 + 13) inches

perimeter of the isosceles trapezoid = 30 inches.

Therefore, they perimeter of the isosceles trapezoid is equal to 30 inches.

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The partial fraction decomposition of 2x-5 over x(x-4) is 2/x + 5/x-4. This separates the fraction into two simple fractions with a common denominator.

2x-5 = (2/x) + (5/x-4)

By breaking down the expression into two simpler fractions, we can more easily manipulate the equation and solve for the unknowns. It is an important tool when it comes to solving complex polynomials and equations.

Partial fraction decomposition is a technique used to break down a complex fraction into simpler fractions with a common denominator. This makes the equation easier to manipulate, and can be used to solve polynomials and equations.

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Anwser:

Its B

Explanation

A/x + B/x+4

The unit of measure for kinetic energy is ft² lb² / s² because the velocity is multiplied by the mass and then squared. The correct answer would be an option (D).

Kinetic energy is the energy of motion, which can be seen as a body or subatomic particle moving. Kinetic energy exists in every moving object and particle.

Kinetic energy can be found using the formula Ek = 1/2 mv².

The variable Ek represents kinetic energy, the variable m is the mass in pounds (lbs.), and the variable v is the velocity in feet per second (ft/s).

The unit of measure for kinetic energy is ft² lb² / s² because the velocity is multiplied by the mass and then squared.

The units of measure for mass (lb.), velocity (ft/s), and time (s) are combined to form the unit of measure for kinetic energy.

Thus, the unit of measure for kinetic energy is ft² lb² / s².

Hence, the correct answer would be option (D).

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Correct option is A, The equation y = -5(x+4)² - 4 best describe the given graph. It is a Parabola.

Parabolas are used in physics and engineering for a variety of purposes, including the design of ballistic missile flight paths and car headlight reflectors.

From the parabola's fundamental definition, one can obtain the equation for it. A parabola is the location of a point that is evenly distanced from a fixed point, known as the focus (F), and the directrix is the fixed line (x + a = 0). Consider the point P of the parabola (x, y). We can figure out the equation of the parabola using the formula PF = PM.

In this situation, the foot of the perpendicular from point P serves as point "M" on the directrix.

In the given parabola,

having equation y = -5(x+4)² - 4

The standard equation of parabola is  [tex]y = a(x + h)^{2} + k[/tex] or[tex]x = a(y - k)^{2} +h[/tex]

As the parabola is downwards, so equation will be [tex]y = a(x + h)^{2} + k[/tex]

the vertex of parabola is (h,k) i.e. ( -4, -4),

which is correct in option A.

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Therefore , the solution of the given problem of linear equation comes out to be S = 80 third-grade kids.

A straightforward regression curve is created using the equation y=mx+b. The y-intercept is m, and the slope is B. The previous sentence is usually referred regarded as a "mathematical formula integrating multiple variables," even though y or y are different parts. Only two variables are present in bivariate linear equations. There are no known solutions to application issues involving linear equations.

Here,

The ability to convert words and phrases into clear, succinct math equations is essential for solving word (story) issues (variables and operations).

Let S represent the total number of third-graders.

The phrase "four fifths of a third grade" denotes 4/5 * S. ("of" usually means multiply)

"How many kids are in the third grade?" means to report S. "If 64 pupils made the trip" denotes that 4/5 * S = 64

, the math is as follows: (4/5)*S = 64 (multiply both sides by 5/4

S = 80 third-grade kids.

Therefore , the solution of the given problem of linear equation comes out to be S = 80 third-grade kids.

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The complete question is "Four fifths of the third grade went on a trip to the zoo. If 64 children made the trip, how many children are in the third grade?"

There are 56 possible ways to man the two sides of the boat with two crew members rowing on the stroke side and three crew members rowing on the bow side.

The number of ways to man the two sides of the boat can be calculated using the combination formula, C(n,r). In this case, n = 8 (the total number of crew members) and r = 5 (the number of crew members needed to man the two sides of the boat). The equation to calculate the number of ways to man the two sides of the boat can be written as C(8,5).

C(8,5) = 8!/(5!*3!) = 56.

This means that there are 56 possible ways to man the two sides of the boat with two crew members rowing on the stroke side and three crew members rowing on the bow side.

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Hello! :3

Answer:

x = 1

graphing:

If and only if two triangles have two corresponding angles that are the same size, they are comparable by AA (Angle-Angle) similarity.

The measurements of the corresponding angles in each triangle must be compared in order to discover whether triangles are comparable by AA. The triangles are comparable by AA similarity if two angles in one triangle have the same measure as two angles in another triangle.

Find the matching angles in each triangle as a first step.

Step 2 is to compare the relevant angles' measurements.

Step 3: The triangles are similar by AA similarity if two angles in one triangle have the same measurement as two angles in another triangle.

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(a) The perimeter of the figure is 5x + 3x + 6 + 13x + 16.

(b) The simplified expression is 21x + 22.

The solution has been obtained by using algebraic expression.

What is an algebraic expression?

If a mathematical expression contains variables, constants, and algebraic operations, it is referred to as "algebraic" (addition, subtraction, etc.).

a) We know that perimeter of a figure is sum of all the sides.

So,

Perimeter = 5x + 3x + 6 + 13x + 16

b) We got an expression as 5x + 3x + 6 + 13x + 16

On simplifying it by combining the like terms, we get

21x + 22

Hence, the simplified expression is 21x + 22.

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Answer:

y=-1/4x+2

Step-by-step explanation:

y=mx+c

1st point : (-4,3)

2nd point : (4,1)

m= rise/run

  = 3-1/-4-4

  = 2/-8

  = -1/4

y=-1/4x+2

Answer: y = -1/4[tex]x[/tex] + 2

Step-by-step explanation:

The equation of any line is y = mx + c, where:

m = gradient of the line

c = y-intercept (the point where the line goes through the y-axis)

So, to make this line into an equation, we first find the gradient. To calculate the gradient, we have to find the [tex]\frac{rise}{run}[/tex] .To do this, we take 2 points from the line that are whole numbers and put it into this equation. So, we can take (0,2) & (4,1). Since we have this, we can sort of draw an imaginary triangle. Now we find the rise, which is 1, and the run, which is 4. So we know the gradient is [tex]\frac{1}{4}[/tex], but since its a line going downwards, it will have a negative gradient meaning it is [tex]-\frac{1}{4}[/tex] .

For the y-intercept, we can see that the line intercepts/crosses the y-axis at (0,2), so the y-intercept is 2. So we have the equation:

[tex]y = - \frac{1}{4}x + 2[/tex]

There probability are 11 treatments, as the scale ranges from 0 to 10.

There are 11 treatments in this experiment, as the scale of craving for Del Taco ranges from 0 to 10. Each student is asked to rate their craving on this scale and the responses are recorded as the treatments. 0 would represent no craving, while 10 would represent the highest level of craving. This experiment allows researchers to measure the level of craving for the food, and the results can then be used to inform decisions about marketing or product development. The treatments are discrete and specific, allowing for a clear comparison between the students. This type of experiment can also be used to measure the effects of different variables on craving levels.

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(a) The probability of two heads if we know that the first toss is a head is 1/2; (b) The probability of two heads if we know that at least one toss is a head is 3/4.

(a) The probability of two heads if we know that the first toss is a head is 1/2, because for the second toss, we have a 50-50 chance of getting either heads or tails.

(b) The probability of two heads if we know that at least one toss is a head is 3/4. We can calculate this by finding the probability of getting two heads plus the probability of getting one head and one tail, and dividing by the number of possible outcomes where at least one toss is a head.

The probability of getting two heads is 1/4 and the probability of getting one head and one tail is 1/2, so the total is 1/4 + 1/2 = 3/4. Since there are two possible outcomes (two heads or one head and one tail), the final answer is 3/4 ÷ 2 = 3/4.

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Fredrick mixed 1/2 liters of blue paint with 1 1/2 liters of green paint to make 2 liters of teal paint, for  the same ratio the amount of  blue paint need to mix with 1 liter of green paint is, 1 liter

A ratio in mathematics is a comparison of two or more numbers that shows how big one is in comparison to the other. The dividend or number being divided is referred to as the antecedent, while the divisor or number that is dividing is referred to as the consequent.

Given that,

Fredrick mixed 1/2 liters of blue paint with 1 1/2 liters of green paint to make 2 liters of teal paint

For the same ratio the amount of  blue paint need to mix with 1 liter of green paint = ?

Let's call the amount of blue paint needed to mix with 1 liter of green paint "x".

Since the ratio of blue paint to green paint in the original mixture was 1/2 liters to 1 1/2 liters, we can set up the following equation:

1/2 + x = 1 1/2

Solving for x, we can simplify the right side of the equation to 3/2 and subtract 1/2 from both sides:

3/2 - 1/2 = x

So, x = 1 liter of blue paint is needed to mix with 1 liter of green paint to make the same teal paint.

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Answer:

Explanation:

A function has each x input go to exactly one and only one y output. This means something like (3,7) and (3,6) leads to "not a function". The input x = 3 leads to multiple outputs.

So all we have to do is look at the x coordinates of the points. If we see any repeats, then the answer is "not a function". Otherwise, we have a function.

Answer:

1.not function

2. function

3.not function

4.function

The expected number of deaths in Michigan, rounded to the nearest whole number, is 300.

To find the expected number of deaths in Michigan if the motor vehicle death rate were proportional to Indiana, we need to know the population of both states and the actual number of deaths in Indiana. Let's assume that the population of Indiana is 100,000 and the number of deaths is 200.
Since the death rate is proportional, we can use the ratio of deaths to population to find the expected number of deaths in Michigan:
(number of deaths in Michigan) / (population of Michigan) = (number of deaths in Indiana) / (population of Indiana)
Let's assume that the population of Michigan is 150,000. We can then use the above equation to find the expected number of deaths in Michigan:
(number of deaths in Michigan) / 150,000 = 200 / 100,000
(number of deaths in Michigan) = 200 * (150,000 / 100,000) = 300
The expected number of deaths in Michigan, rounded to the nearest whole number, is 300.

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The number Joe is thinking of is -36.

To find the number Joe is thinking of, use algebraic expression and equation.

Let x be the number Joe is thinking of

According to the problem, "Eleven more than one third of the number is -1". We can translate this into an algebraic expression such as:

x/3 + 11 = -1

To find the value of x, we'll isolate it on one side of the equation:

x/3 = -12

Next, we'll multiply both sides of the equation by 3 to cancel out the fraction:

x = -36

Therefore, the number Joe is thinking of is -36.

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The p-value for a right-tailed test is 0.0096.so the melodic kortholt company should consider changing its current health plan.the standard error for the proportion (SE = sqrt(0.64*(1-0.64)/25) = 0.144).

1. Calculate the proportion of employees dissatisfied (16/25 = 0.64).

2. Calculate the standard error for the proportion (SE = sqrt(0.64*(1-0.64)/25) = 0.144).

3. Calculate the z-score for the test (z = (0.64 - 0.5)/SE = 1.39).

4. Calculate the p-value (p-value = 1 - cdf(z) = 0.0096).

The p-value is an indication of how likely it is that the proportion of employees dissatisfied is significantly different from the expected proportion (in this case, half). The p-value of 0.0096 means that there is only a 0.96% chance that the observed proportion of employees dissatisfied is due to chance alone, and so the melodic kortholt company should consider changing its current health plan.

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The volume of the concrete piece is 1000 cubic inches.

What is the Volume?

Volume is a measure of the amount of space that an object occupies. It is a three-dimensional measurement that is typically expressed in cubic units.

The given diagram shows a rectangular concrete piece with dimensions 5 inches, 10 inches, and 20 inches. The volume of a rectangular prism can be calculated as:

V = l × w × h

Where "l" is the length, "w" is the width, and "h" is the height. So, for the concrete piece, the volume is:

V = 5 in. × 10 in. × 20 in. = 1000 cubic inches.

Hence, the volume of the concrete piece is 1000 cubic inches.

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The value of x from the given figure is 10.

According to the theorem, the product of the measurements of one secant segment and its external secant segment is equal to the product of the measures of the other secant segment and its external secant segment if two secant segments are drawn to a circle from an exterior point.

Applying the rule to the given diagram:

3(3+x-5) = 4(4+x-8)

Simplify

3(x-2) = 4(x-4)

3x - 6 = 4x - 16

3x - 4x = -16 + 6

-x = -10

x = 10

Hence the value of x from the diagram is 10

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u^3 + 8 factors as (u + 2)(u^2 + 2u + 4) is explained by kuta software infinite algebra as

x^3 + 125

To factor this expression, we can use the formula for the difference of cubes:

a^3 + b^3 = (a + b)(a^2 - ab + b^2)

We can set a = x and b = 5:

x^3 + 125 = (x + 5)(x^2 - 5x + 25)

So x^3 + 125 factors as (x + 5)(x^2 - 5x + 25).

a^3 + 64

To factor this expression, we can use the formula for the sum of cubes:

a^3 + b^3 = (a + b)(a^2 + ab + b^2)

We can set a = a and b = 4:

a^3 + 64 = (a + 4)(a^2 + 4a + 16)

So a^3 + 64 factors as (a + 4)(a^2 + 4a + 16).

x^3 - 64

To factor this expression, we can use the formula for the difference of cubes:

a^3 - b^3 = (a - b)(a^2 + ab + b^2)

We can set a = x and b = 4:

x^3 - 64 = (x - 4)(x^2 + 4x + 16)

So x^3 - 64 factors as (x - 4)(x^2 + 4x + 16).

u^3 + 8

To factor this expression, we can use the formula for the sum of cubes:

a^3 + b^3 = (a + b)(a^2 + ab + b^2)

We can set a = u and b = 2:

u^3 + 8 = (u + 2)(u^2 + 2u + 4)

So u^3 + 8 factors as (u + 2)(u^2 + 2u + 4).

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The total square footage (area) of the apartment is 332 ft²

To find the total area of the apartment we need to calculate the area of the given each room by using the given dimensions. Find the sum of the areas of each room to the area of the apartment.  

Area of a rectangle room = Length × Width

Here we have  

Dimensions of bedroom = 11ft × 10ft    

Area of the bedroom =  11ft × 10ft = 110 ft²  

Dimensions of bathroom = 5ft × 6ft  

Area of the bathroom = 5ft × 6ft = 30 ft²  

Dimensions of Sigle multi-use living room = 12ft × 16 ft  

Area of the living room  = 12ft × 16 ft = 192 ft²  

From above calculations

The total square footage of the apartment

= 110 ft² + 30 ft² + 192 ft²  

= 332 ft²

Therefore,

The total square footage (area) of the apartment is 332 ft²

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Answer:

15/8×100/1

= 1500/8

= 187.5%

Answer:

The missing measure is: 71

Step-by-step explanation:

Hope it helps! =D