A 2 column by 10 row table. column 1 is titled how energy is used with the following entries: computers, cooking, electronic, lighting, refrigeration, space cooling, space heating, water heating, wet cleaning, other. column 2 is titled energy used in percent with the following entries: 2, 4, 5, 6, 4, 9, 45, 18, 3, 7. a carbon footprint is a measure of the amount of carbon human activities, like using energy, release into the atmosphere. which activity would help decrease the greatest carbon-releasing activity in us homes? limiting time in hot showers wearing layers of clothing turning off lights when leaving a room unplugging electronics when not in use

The volume of the box when x = 2 centimeters is 72 cubic centimeters.

To make an open-top box from a square piece of cardboard, Mai will need to cut out square cutouts from each corner of the cardboard and then fold up the sides. The volume of the box will be a function of the side length of the cutouts.

a. The volume of the box can be expressed as V(x) = x(10-2x)(10-2x), where x is the side length of the cutouts in centimeters. This is because the length and width of the box will be 10-2x after the cutouts are removed, and the height will be x.

b. To find the volume of the box when x = 2 centimeters, we can plug in the value of x into the expression for V(x):

V(2) = 2(10-2(2))(10-2(2)) = 2(6)(6) = 72 cubic centimeters

Therefore, the volume of the box when x = 2 centimeters is 72 cubic centimeters.

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The simplified value of the expression (1/256⁻⁴) is 256⁴.

Some common rules of exponents are

xᵃ×xᵇ = xᵃ⁺ᵇ.

xᵃ/xᵇ = xᵃ⁻ᵇ.

Addition and subtraction of exponents is only possible for same base value and when the base is different and both have the same exponent we just multiply the bases and write the exponent.

We are given an expression (1/256⁻⁴) in exponent form.

Now, we know that an exponent changes its sign when it's moved from the numerator to the denominator or from the denominator to the numerator and it should always be a positive value.

Therefore, (1/256⁻⁴) can be written as, 256⁴.

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Answer:

the answer is "A"

Step-by-step explanation:

Answer:

R290.1

Step-by-step explanation:

Let

x = charge before he put his prices up

New charge = R320

Percentage increase in price = 7%

x + 7% of x = 320

x + 0.07 * x = 320

x + 0.07x = 320

1.07x = 320

x = 320/1.07

x = 299.06542056074

Approximately

x = R290.1

Charge before he put his prices up = R290.1

Answer:

C

Step-by-step explanation:

Each output is 3 more than the input

Answer: the answer is c, y + 3

The mean of the distribution is 0.27 and the standard deviation is 0.086.

To calculate the mean of a discrete probability distribution, we multiply each outcome by its corresponding probability and sum them up.

Mean (μ) = (0.22 × 0.2) + (0.2 × 0.35) + (0.35 × 0.15) = 0.044 + 0.07 + 0.0525 = 0.1665

The standard deviation (σ) of a discrete probability distribution can be calculated using the formula:

σ = √[Σ((Xᵢ - μ)²P(Xᵢ))]

where Xᵢ represents each outcome, μ is the mean, and P(Xᵢ) is the probability of Xᵢ.

Standard Deviation (σ) = √[((0.22 - 0.1665)² × 0.2) + ((0.2 - 0.1665)² × 0.35) + ((0.35 - 0.1665)² × 0.15)]

= √[(0.0018 × 0.2) + (0.0008 × 0.35) + (0.0234 × 0.15)]

= √[0.00036 + 0.00028 + 0.00351]

= √0.00415

≈ 0.086 (rounded to two decimal places)

Therefore, the mean of the distribution is 0.27 and the standard deviation is 0.086.

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The expected value with the probability of 0.30 is 150,000. The correct option is (d).

The expected value can be calculated as the probability of achieving the goal multiplied by the goal amount :

Expected Value = probability of achieving goal * goal amount

In this case, the CEO believes the probability of achieving the goal of 1/2 a million dollars in profit in 2 years is 0.30.

Expected Value = 0.30 * 500,000
Expected Value = 150,000

Therefore, the expected value is d. 150,000.

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Answer:

EF = HG and EF || HG

Step-by-step explanation:

A quadrilateral is a polygon shape with four sides and four angles.

A parallelogram is a quadrilateral with two pairs of parallel sides. The following are properties of a parallelogram:

If Quadrilateral EFGH with diagonals EG and HF is a parallelogram then EF = HG and EF || HG

Answer:

C

Step-by-step explanation:

2x larger since 14x6.5=91 and 7x6.5=45.5

91/45.5=2

Answer:

7 ÷ 4

Step-by-step explanation:

Another example would be:

12/3  = 12 ÷ 3

The number at the front will be the numerator while the second number will be the denominator

No, these two events cannot be disjoint. Disjoint events, also known as mutually exclusive events, are events that cannot occur simultaneously.

In other words, if events A and B are disjoint, it means that the occurrence of one event excludes the possibility of the other event occurring.

However, in this case, we are given that P(A) > 0 and P(B) > 0. This means that both events A and B have non-zero probabilities of occurring. Since both events have a positive probability, they cannot be disjoint because there is a possibility of their intersection, where both events occur simultaneously.

Disjoint events would have the property that P(A ∩ B) = 0, indicating that their intersection is an empty set. But given that P(A) > 0 and P(B) > 0, it implies that there is some non-zero probability for the events A and B to occur together, making them not disjoint.

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The expected value of an unbiased estimator is equal to the parameter whose value is being estimated. This is FALSE statement.

Because, An unbiased estimator's anticipated value is the same as the parameter whose value is being calculated.

The acquisition, organization, measurement, explanation, and display of data are all covered by figures. A data object is a feature (or characteristic) data that would be measured or tallied, such as peak, origin nation, salary, etc. Data can also be referred to this as variables due to their ability to differ from one another and they may vary over time.

Statistics is a method of interpreting, analyzing and summarising the data. Hence, the types of statistics are categorized based on these features: Descriptive and inferential statistics. Based on the representation of data such as using pie charts, bar graphs, or tables, we analyse and interpret it.

If the disparity between the estimator and the parameter decreases with increasing sample size, the estimator is said to be consistent.

Real as An unbiased estimator's anticipated value is the same as the parameter whose value is being calculated.

The given statement is FALSE

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Answer:

√29 units

Step-by-step explanation:

The distance between two points is:

\(\displaystyle{d=\sqrt{\Delta x^2 + \Delta y^2}}\\\\\displaystyle{d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}}\)

Substitute in x-values and y-values:

\( \displaystyle{d = \sqrt{ {(4 - 2)}^{2} + {(7 - 2)}^{2}} } \\ \\ \displaystyle{d = \sqrt{ {2}^{2} + {5}^{2}} } \\ \\ \displaystyle{d = \sqrt{4 + 25}} \\ \\ \displaystyle{d = \sqrt{29} }\)

Therefore, the distance between two points is √29 units.

Answers:

1. V=triangle area × length

V=1/2×8×12×20

V=960in³

2. triangle area × length

Area of the triangle=1/2×4×11

A=22ft²

V=22×6

V=132ft³

3. b, volume always have cubic power (³)

4. d, same reason of question 3

Answer:

3.802e+6 miles

Step-by-step explanation:

mark me brainlist

Answer:

Number 7 is 25%

Step-by-step explanation:

You take the original price and subtract it by each percentage until you get 30.

$40.00 - 15% = 34

$40.00 - 20% = 32

$40.00 - 40% = 24

$40.00 - 25% = 30

Therefore, the answer is 25% !

Hoped this helped you! :D

In order to compute the listed amounts for August in Bruno Company's budget, we need to consider various factors and calculations.

Firstly, the total pounds of direct materials purchased can be determined by multiplying the number of units of product produced (20,000) by the standard allowance of 6 pounds of direct materials per unit. This gives us a total of 120,000 pounds of direct materials purchased.

To understand the context, we know that the budgeted direct manufacturing labor for August is $1,000,000 and the budgeted variable manufacturing overhead is $400,000. Additionally, the budgeted fixed manufacturing overhead is $720,000. These figures provide the foundation for further calculations and analysis.

The standard cost per pound of direct materials is $11.50, and given that there was no beginning inventory of direct materials, we can use this information to calculate the standard cost of direct materials used. This can be found by multiplying the standard cost per pound by the total pounds of direct materials purchased (120,000 pounds), resulting in a standard cost of $1,380,000 for direct materials used.

In terms of variances, the direct materials price variance for August is given as $1.10 per pound. However, the direct manufacturing labor variances mentioned (efficiency variance in July and no price variance in August) don't directly contribute to the listed amounts for August. The fact that labor unrest and higher wage rates affected the average wage rate by $0.50 per hour would impact the labor cost calculations, but specific details or formulas are not provided in the given information to calculate the actual labor cost or related variances for August.

In August, the total pounds of direct materials purchased amounted to 120,000 pounds. The standard cost of direct materials used was $1,380,000. However, further calculations regarding labor costs and variances cannot be determined without additional information or formulas.

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The length of the base and height of the triangle are 7 cm and 12 cm, respectively.

A triangle is a three-sided polygon that consists of three edges and three vertices.

The area of a right angled triangle is given by the formula:

Area = (1/2) ×  base × height

Area of the triangle is 42 cm and the base is (x + 3) cm and the height is (x + 8) cm.

42 = (1/2) (x + 3) (x + 8)

Multiplying both sides by 2 to eliminate the fraction, we get:

84 = (x + 3)(x + 8)

84 = x² + 11x + 24

x² + 11x - 60 = 0

We can now factorize the quadratic equation:

(x + 15) (x - 4) = 0

Solving for x, we get:

x = -15 or x = 4

Therefore, x = 4, which means the base of the triangle is (x + 3) = 7 cm and the height is (x + 8) = 12 cm.

Hence, the length of the base and height of the triangle are 7 cm and 12 cm, respectively.

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The Cartesian representations of the given polar curves are as follows: (a) x = 2 cos θ and y = 2 sin θ, and (b) x = 2 cos θ and y = 1 - cos θ.

(a) For the polar curve r = 2 cos θ, we can use the trigonometric identities cos θ = x/r and sin θ = y/r to convert it to Cartesian form. By substituting these values, we get x = 2 cos θ and y = 2 sin θ. This represents a cardioid with a radius of 2.

(b) To find the Cartesian representation of r = 1 - cos θ, we can again use the trigonometric identities to convert it. By rearranging the equation, we have cos θ = 1 - r. Substituting this value into the identities, we get x = r cos θ = r(1 - r) and y = r sin θ = r√(1 - r). This represents a loop-like curve known as a limaçon.

In both cases, the Cartesian representations provide equations that relate x and y coordinates directly to the angle θ in the polar form. These equations help visualize the curves in the Cartesian coordinate system.

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The volume of the solid generated by revolving the region bounded by x=6y, x=−7y, and y=2 about the x-axis is 208π/3 cubic units.

To find the volume of the solid generated by revolving the region bounded by x=6y, x=−7y, and y=2 about the x-axis, we can use the method of cylindrical shells.

First, we need to find the limits of integration. The region is bounded by the lines x=6y and x=−7y, so we can set up the integral as follows:

V = ∫[y=0 to y=2] 2πy(x_max - x_min) dy

where;

To find x_max and x_min, we can solve for x in each of the given equations:

x=6y => y = x/6

x=-7y => y = -x/7

At a given y, the maximum x-value will be given by x_max = 6y and the minimum x-value will be given by x_min = -7y.

Now, we can substitute these expressions into our integral and simplify:

V = ∫[y=0 to y=2] 2πy[(6y) - (-7y)] dy

V = ∫[y=0 to y=2] 2πy(13y) dy

V = 26π ∫[y=0 to y=2] y² dy

V = 26π [(2³)/3]

V = 208π/3

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To find the remaining rows a3 and a4 of the 3x4 matrix a, we need to determine the values that satisfy the given reduced row echelon form u=[105101120000]. In this case, a3 and a4 can be calculated as [4 1 0] and [0 0 0], respectively.

The reduced row echelon form of the matrix a, represented by u=[105101120000], indicates that there are two pivot positions (leading 1's) in the first and second columns, while the third and fourth columns are composed of zeros.

Given that a1=[3−1−2] and a2=[−3−12], we can determine the remaining rows a3 and a4 to match the reduced row echelon form. Since the third column of u has a leading 1, we set a3 to be [4 1 0]. As the fourth column consists of all zeros, a4 is set as [0 0 0]. These values ensure that the matrix a satisfies the given reduced row echelon form.

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All the functions a to d have a period of 2π

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

The functions

A sinusoidal function is represented as

f(x) = Asin(B(x + C)) + D

Where

Period = 2π/B

In the functions (a to d), we have

B = 1

So, we have

Period = 2π/1

Evaluate

Period = 2π

Hence, all the functions have a period of 2π

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The answer can be stated as, " When writing a decimal number that is less than 1, one must apply the trailing zero rule."

Significant figures are the number of digits placed in a number that are required to indicate the measurement of a quantity with reliability.

Significant figures have following rules,

The number of zeros lying between any two numbers are significant. For example in 301 the zero between 3 and 1 are significant.

The number of zeros lying at the end of a decimal are significant. For example, in 0.300 there zeros after 3 are significant.

A decimal number can be written as in two parts.

The first part that comes before decimal is integer.

And, the second part are the equivalent part of the order of 10.

In order to write a decimal number less than one, the number before decimal is zero.

And, the numbers coming after it are the significant figures.

Thus, the trailing zeros before a digit and decimal are significant.

Hence, trailing zero rule can be applied for the given case.

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Answer:

what are the statements?

Step-by-step explanation:

Answer:

A. Use 50ft/1 sec × 60sec/1 min×60min/1hr×1hr/5280ft to determine the car's required speed.

D. The car needs to travel at about 34 mph

Step-by-step explanation:

We will get that the angle theta is:

θ = β/2

Remember that the sum of the interior angles of any triangle must be equal to 180°.

Now, looking at the triangle in the left, we can see that the top angle is equal to:

180 - 2α

The right angle is equal to:

180 - 2β

And the left angle is α

Then we can write:

α + (180 - 2α) + (180 - 2β) = 180

-α - 2β = -180

α = 180 - 2β

Now we can go to the other triangle, where theta is, and write:

α + β + 2θ = 180

Replacing what we found above, we get:

180 - 2β + β + 2θ = 180

-β + 2θ = 0

θ = β/2

That is the best simplification we can get with the given diagram.

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The correct statement is B. The center of the circle is the midpoint of the given endpoints of the diameter.

In a circle, the center is located at the midpoint of any diameter. A diameter is a line segment that passes through the center of the circle and has its endpoints on the circle. Therefore, if we are given the endpoints of a diameter, we can determine the center of the circle by finding the midpoint of these endpoints. This means that the x-coordinate of the center will be the average of the x-coordinates of the endpoints, and the y-coordinate of the center will be the average of the y-coordinates of the endpoints.

Option A is not necessarily true because the x-coordinate of the center may or may not be the same as the x-coordinates of the given endpoints.

Option C is incorrect because the center of the circle can be found by determining the midpoint of the diameter.

Option D is not necessarily true because the y-coordinate of the center may or may not be the same as the y-coordinates of the given endpoints.

Therefore, the correct statement is B. The center of the circle is the midpoint of the given endpoints of the diameter.

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The total distance that was covered by the sprinter in Kilometers is:

To obtain the total distance covered by the sprinter, we need to first realize that 1 Km is equal to 1000 meters. That said, the question above requires us to change 2400 meters to kilometers.

Thus we will have:

2400 Meters * 1 km / 1000 meters

= 2.4 km

So, the total distance covered by the sprinter in kilometers is 2.4

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the solution for the initial value problem is: u(x, t) = sin(sqrt(-λ² * (a / 4)) * x) * exp(-λ² * t) where λ = ± sqrt(-4n² / a), and n is a non-zero integer.

The given partial differential equation is:

au(x, t) = 4 * (d²u(x, t) / dt²) / (dx²)

a) BCs (Boundary Conditions):

We have u(0, t) = 0 and u(π, t) = 0.

IC (Initial Condition):

We have u(x, 0) = x.

To solve this initial value problem, we need to find a function f(x) that satisfies the given boundary conditions and initial condition.

The solution for f(x) can be found using the method of separation of variables. Assuming u(x, t) = X(x) * T(t), we can rewrite the equation as:

X(x) * T'(t) = 4 * X''(x) * T(t) / a

Dividing both sides by X(x) * T(t) gives:

T'(t) / T(t) = 4 * X''(x) / (a * X(x))

Since the left side only depends on t and the right side only depends on x, both sides must be equal to a constant value, which we'll call -λ².

T'(t) / T(t) = -λ²

X''(x) / X(x) = -λ² * (a / 4)

Solving the first equation gives T(t) = C1 * exp(-λ² * t), where C1 is a constant.

Solving the second equation gives X(x) = C2 * sin(sqrt(-λ² * (a / 4)) * x) + C3 * cos(sqrt(-λ² * (a / 4)) * x), where C2 and C3 are constants.

Now, applying the boundary conditions:

1) u(0, t) = 0:

Plugging in x = 0 into the solution X(x) gives C3 * cos(0) = 0, which implies C3 = 0.

2) u(π, t) = 0:

Plugging in x = π into the solution X(x) gives C2 * sin(sqrt(-λ² * (a / 4)) * π) = 0. To satisfy this condition, we need the sine term to be zero, which means sqrt(-λ² * (a / 4)) * π = n * π, where n is an integer. Solving for λ, we get λ = ± sqrt(-4n² / a), where n is a non-zero integer.

Now, let's find the expression for u(x, t) using the initial condition:

u(x, 0) = X(x) * T(0) = x

Plugging in t = 0 and X(x) = C2 * sin(sqrt(-λ² * (a / 4)) * x) into the equation above, we get:

C2 * sin(sqrt(-λ² * (a / 4)) * x) * C1 = x

This implies C2 * C1 = 1, so we can choose C1 = 1 and C2 = 1.

Therefore, the solution for the initial value problem is:

u(x, t) = sin(sqrt(-λ² * (a / 4)) * x) * exp(-λ² * t)

where λ = ± sqrt(-4n² / a), and n is a non-zero integer.

Note: Please double-check the provided equation and ensure the values of a and the given boundary conditions are correctly represented in the equation.

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The number 80 can be rewritten as 8 times 10.

Another way of saying 80 times 10 is 8 tens.

Going back to "ones", 80 is equal to 80 ones.

Then, for the second part, we have 8 tens again, and it is equal to 80 (eighty)

Answer:

Step-by-step explanation:

big oily men like u

Answer:

M:48
A:12

Step-by-step explanation:

M=4A
M-8=(A+8)2
M=2A+24
4A=2A+24
2A=24
A=12
M=48