A net of a triangular prism is shown below. 42 8 ft 3 ft 5 f 5 ft What is the surface area, in square feet, of the triangular prism? A 44 B 96 C 108 D 120

Answer:

2, -3

Step-by-step explanation:

4 units down is -9, then a reflection over y axis makes -2 2 6 units up makes -9 -3

Answer: 2

Step-by-step explanation:

write out the fraction and make a common denominator.

If she can eat 1/4 of a pizza in 1/3 hours, multiply 1/3 by 3 to get 3/3 hours and do he same with 1/4, that gets you 3/4 of a pizza in 1 hour.

Seyna can eat 3/4 of a pizza in one hour.

Given that Seyna can eat 1/4 of a pizza in 1/3 of an hour.

We need to find that at this rate what fraction of a pizza could she eat in one hour.

To find out the fraction of a pizza Seyna can eat in one hour, we need to determine how many fractions of 1/4 pizzas she can consume in 1 hour.

We know that Seyna can eat 1/4 of a pizza in 1/3 of an hour. Let's calculate how many 1/4 pizzas she can consume in 1 hour by multiplying the given rate by 3:

(1/4) x (3/1) = 3/4

Therefore, Seyna can eat 3/4 of a pizza in one hour.

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Answer:

D = 31

Step-by-step explanation:

Consider the equation showing the distributive property.

84 +93 = 3 (28+ D)

The unknown value we are asked to find is D

Hence:

84 + 93 = 84 + 3D

Collect like terms

84 - 84 + 93 = 3D

93 = 3D

D = 93/3

D = 31

Therefore, the unknown value that would make the equation true is 31

The distance from the base of the ladder to the wall is approximately 2.9 feet.

To solve for the distance from the base of the ladder to the wall, Walter used the trigonometric function tangent, which is defined as the ratio of the opposite side to the adjacent side of a right triangle.

In this case, the opposite side is the height of the ladder on the wall, and the adjacent side is the distance from the base of the ladder to the wall.

Since the angle between the ladder and the ground is 75 degrees, the other acute angle in the right triangle is 15 degrees. Therefore, Walter used the formula for a tangent:

tangent(15) = height of the ladder on the wall/distance from the base of the ladder to the wall

Solving for the distance, we get:

distance = height of the ladder on the wall/tangent (15)

Substituting the values given, we get:

distance = 12 * sin(75) / tan(15) ≈ 2.9 feet

Therefore, the distance from the base of the ladder to the wall is approximately 2.9 feet.

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Answer:

if each side is 6 millimeters and its a cube what is 6x4

Step-by-step explanation:

Answer:

-------------------

There are 13 clubs and 13 hearts in the deck.

First, find the number of ways to choose 2 clubs out of 13:

Next, find the number of ways to choose 3 hearts out of 13:

Now, multiply these two results:

The equation of this line in slope-intercept form is equal to y = -4x + 7.

In Mathematics and Geometry, the slope-intercept form of the equation of a straight line is given by this mathematical expression;

y = mx + c

Where:

By making the variable "y" the subject of formula, we have the following:

4x + y = 7

y = -4x + 7

Therefore, the slope (m) is equal to -4.

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Step-by-step explanation:

Parallel lines cut by a transversal coloring activity is an activity that helps students understand the pattern of angles when parallel lines are cut by a transversal. The activity involves coloring the angles formed by the parallel lines and the transversal in different colors. This helps students identify the different types of angles formed and their relationships with each other.

So, the simpler form of the radical expression 4 sqrt 1296 x^16y^12 is 144x^14y^14 sqrt (x) sqrt (y).

To simplify the radical expression 4 sqrt 1296 x^16y^12, we need to first factor the number inside the radical. 1296 can be factored into 36 x 36, which simplifies to 6^4. So, the expression becomes 4 sqrt (6^4 x^16y^12).
Next, we can simplify the expression further by using the property of exponents that says a^m x a^n = a^(m+n). This means that we can combine the exponents of x and y, which gives us 4 sqrt (6^4 x^(16+12) y^(12+16)). Simplifying this, we get 4 sqrt (6^4 x^28 y^28).
Now, we can simplify the radical expression even further by using the property that says sqrt (a x b) = sqrt (a) x sqrt (b). Applying this to our expression, we get 4 x 6^2 x sqrt (x^28) x sqrt (y^28). Simplifying this further, we get 144x^14y^14 sqrt (x) sqrt (y).
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The correct first step for solving the equation 3(x+8) = 42 is (3×x)+(3×8) = 42.

For the given equation;

3(x+8) = 42

The first step will be to open the parenthesis, and multiply each term with 3.

(3×x)+(3×8) = 42.

Thus, the first step to solve the linear equation is  (3×x)+(3×8) = 42.

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Answer: C. The y-intercept is (0, 150). Diego has $150 before buying any

Step-by-step explanation:

Brainlylist

Step-by-step explanation:

If function f(x) is even then so the graph of this function has a line symmetry about y-axis. So the option 3 is correct.

In the given question we have to check which statement is correct.

If f(x) is an even function, which statement about the graph of f(x) must be true.

The given statement are;

As we know that if function f(x) is even then so the graph of this function has a line symmetry about y-axis.

So the option 3 is correct.

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Answer:

4+7x=32

7x=32-4

7x=28

x=4

Step-by-step explanation:

Answer:

This is how I calculated it.

If the total is $912

And the equipment costs $612.

I did $912- 612= $300 (There's only $300 remaining after purchasing the equipment)

Each uniform costs $25

So I did $300:25= 12

The School purchased 12 uniforms.

Have a nice day.

The independent variable of interest in an ANOVA procedure is called a factor. Hence (d).

The independent variable of interest in an ANOVA procedure is referred to as the factor. The factor represents the different categories or levels being compared to assess their impact on a dependent variable. It is the variable that is manipulated or controlled by the researcher to determine its effect on the outcome. In the context of ANOVA, the factor is typically a categorical variable that divides the data into distinct groups or treatments. These groups are compared to evaluate if there are statistically significant differences in the means of the dependent variable across the different levels of the factor. Therefore, the correct answer is factor(d).

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Cheating in academia is a severe crime that should be condemned in the strongest possible terms. It undermines the very foundation of the academic world and harms both individuals and society as a whole. It is therefore imperative that academic institutions and individuals take a strong stance against cheating and work to uphold the values of honesty, integrity, and respect that are essential for a healthy academic environment.

Cheating in academia is undoubtedly a severe crime, as it undermines the entire educational system's fundamental values and principles. The academic world is built on trust, honesty, and integrity, and cheating blatantly violates these principles. When someone cheats in an exam, they are not only harming themselves but also the entire academic community.

Cheating in exams can result in various consequences, such as a loss of trust and credibility, a tainted reputation, and a damaged academic career. Those who cheat are often seen as lacking the required skills and knowledge to succeed in their studies, and as a result, they may be ostracized from the academic community.

Academic integrity is essential in maintaining the quality and credibility of education. It ensures that individuals who receive degrees have earned them through hard work and dedication, and not through fraudulent means. Furthermore, academic integrity promotes a culture of honesty, respect, and fairness, which are values that should be upheld by all members of the academic community.

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The probability of drawing two orange balls, given that at least one ball is orange, is 1/5.

There are a total of 6 possible outcomes when selecting 2 balls from the urn without replacement: (O,O), (O,B), (B,O), (B,B), (O,B), (B,O).

The event that at least one of the balls selected is orange corresponds to the outcomes (O,O), (O,B), and (B,O). The probability of this event is the sum of the probabilities of the individual outcomes:

P(at least one orange) = P(O,O) + P(O,B) + P(B,O)

To calculate the individual probabilities, we can use the formula for the number of combinations of n items taken k at a time:

C(n,k) = n! / (k! (n-k)!).

The probability of each outcome is the number of ways it can occur divided by the total number of possible outcomes:

P(O,O) = C(2,2) / C(4,2)

= 2! / (2! (2!)) / (4! / (2! (2!)))

= 1/6

P(O,B) = C(2,1) * C(2,1) / C(4,2)

= 2 * 2! / (1! (2!)) / (4! / (2! (2!)))

= 2/6

P(B,O) = P(O,B) = 2/6

So,

P(at least one orange) = 1/6 + 2/6 + 2/6

=> 5/6

And the probability that both balls are orange is:

P(both orange) = P(O,O) = 1/6.

So, the probability of drawing two orange balls, given that at least one ball is orange, is 1/5.

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Answer:

180= 58 +58 +x

x= 180 -116

64

Differential equations are mathematical equations that involve derivatives. They describe the relationship between an unknown function and its derivatives, helping to model and understand dynamic systems in physics, engineering, and other scientific disciplines.

To find the general solution of the given system of differential equations by decoupling, we first need to rewrite the given equation in a more standard form. The equation provided is: x1' = x1 * x.

Step 1: Rewrite the equation
x1' = x1 * x can be rewritten as dx1/dt = x1 * x, where x1 is a function of time t.

Step 2: Separate variables
Now, we separate variables by dividing both sides of the equation by x1, and then multiplying both sides by dt:
(dx1/x1) = x * dt

Step 3: Integrate both sides
Now we can integrate both sides of the equation with respect to their respective variables:

∫(dx1/x1) = ∫(x * dt)

After integrating, we get:
ln|x1| = (1/2) * x^2 + C₁, where C₁ is the constant of integration.

Step 4: Solve for x1
To find the general solution for x1, we need to exponentiate both sides of the equation to eliminate the natural logarithm:

x1(t) = Ce^(1/2 * x^2), where C = e^(C₁) is a new constant.

So, the general solution of the given system of differential equations is x1(t) = Ce^(1/2 * x^2), where C is an arbitrary constant.

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This means that if the average weight of the men in the elevator is more than 180 lbs, the elevator would be overloaded.

To determine the average weight beyond which the elevator would be considered overloaded, we can follow these steps:
Find the total weight limit for 33 occupants: 5940 lbs.

Divide the total weight limit by the number of occupants to find the average weight per person: 5940 / 33 = 180 lbs.
Now, we need to find the difference between the average weight per person (180 lbs) and the mean weight of the population (166 lbs): 180 - 166 = 14 lbs.
Since we have the difference and the standard deviation (26 lbs), we can now calculate the Z-score:

Z = (difference) / (standard deviation) = 14 / 26 ≈ 0.54.
The average weight beyond which the elevator would be considered overloaded is 180 lbs.

The corresponding Z-score for this weight is approximately 0.54.

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Answer:

The intersection of the two intervals = 4, 5, 6,.......+∞ = (4, +∞)

The union of the two intervals = -3, -2, -1, 0, 1, 2, 3, 4, 5,.....,+∞ = (-3, +∞)

Step-by-step explanation:

The given intervals are;

First interval  = (-3, +∞)

Second interval  = (4, +∞)

Using the number line, we therefore, the first interval includes, -3, -2, -1, 0, 1, 2, 3, 4, 5,.....,+∞

The second interval includes, 4, 5,.....,+∞

Which gives the intersection as 4, 5, 6,.......+∞

The union is the interval that combines the two sets of intervals which is given as follows;

The union of the two intervals = -3, -2, -1, 0, 1, 2, 3, 4, 5,.....,+∞

Given statement solution is :- When points tend to cluster around a straight line, we describe this by saying that the relationship between the two variables is "linear" or "linearly correlated."

A linear relationship is any relationship between two variables that creates a line when graphed in the x y xy xy -plane. Linear relationships are very common in everyday life.

A linear relationship (or linear association) is a statistical term used to describe a straight-line relationship between two variables.

When points tend to cluster around a straight line, we describe this by saying that the relationship between the two variables is "linear" or "linearly correlated." This means that as one variable increases or decreases, the other variable changes proportionally in a consistent and predictable manner.

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The following equation could be used to represent a function w:

= w(x)=v(x-7)+7

According to the information provided,

The point of discontinuity of rational functions is at x=7.

When a rational function has a point of discontinuity, it generally occurs when,

q(x) = r(x-a), where x = a

In this case, we must pay attention to the following relationship, which is a combination of a parent rational function and a vertical translation:, (2)

If we know that a=7 and k=7.

The equation which can represent w is as follows,

w(x) = v ( x-7 ) + 7

A rational function can be represented as a polynomial split by another polynomial. Because polynomials are defined everywhere, the domain of a rational function is the set of all numbers except the zeros in the denominator.

Example: x = f(x) (x - 3). The denominator, x = 3, has only one zero. Rational functions are no longer defined when the denominator is zero.

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Answer:

hypotenuse is 52

Step-by-step explanation:

The solution to the inequality ||8-3p|| ≥ 2 is:p ≤ 2 or p ≥ 10/3. To solve the inequality ||8-3p|| ≥ 2, you'll first want to isolate the absolute value expression.

Once you've done that, you'll be left with two inequalities to solve. How to solve the inequality ||8-3p|| ≥ 2?The first inequality is 8-3p ≥ 2.

To solve for p, you can start by subtracting 8 from both sides to get:-3p ≥ -6.

Then divide both sides by -3 to get:p ≤ 2. The second inequality is -(8-3p) ≥ 2. To solve for p, you can start by distributing the negative sign to get:-8 + 3p ≥ 2.

Then add 8 to both sides to get:3p ≥ 10. Finally, divide both sides by 3 to get:p ≥ 10/3. So the solution to the inequality ||8-3p|| ≥ 2 is:p ≤ 2 or p ≥ 10/3.

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Answer: The slope is 2/3.

Step-by-step explanation: From (-1,6) to (-7,-3), the x goes up 6, and the y goes down 9. This makes the fraction -6/9. This would reduce to -2/3, but the direction the slop is headed is upwards to the right, meaning it's a positive slope.

The Average Variable Cost (AVC) Formula is a fundamental concept in economics and business management. It is used to calculate the average cost of producing one unit of a good or service, taking into account only the variable costs of production.

Variable costs are those costs that change with the level of production, such as raw materials and labor. Fixed costs, on the other hand, do not change with the level of production and include expenses such as rent and equipment.

The AVC formula is calculated by dividing the total variable costs of production by the number of units produced. This gives the average cost of producing each unit of the good or service, taking into account only the variable costs.

The value of the AVC formula lies in its ability to help managers and business owners understand the cost structure of their operations. By calculating the average variable cost, they can determine the minimum price they need to charge for their product or service in order to cover their costs and make a profit.

In addition, the AVC formula can be used to compare the efficiency of different production methods. By calculating the AVC for each method, managers can determine which method is the most cost-effective, taking into account only the variable costs.

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A female student's probability of not receiving an A is 0.56, or 56%.

Probability and probability, as well as its cognates in various modern languages, come from the educated Latin of the Middle Ages called probabilis, which Cicero used to refer to a viewpoint as being plausible or generally accepted. Ancient French probabilite is where the word probability came from (14 c.)

We must utilise the data in the table to determine the likelihood that a female student will not receive an A.

There are 16 male students and 9 female students in the class, according to the table. Of the nine female students, four received As compared to five Bs.

Hence, the The likelihood that a female student won't receive an A is: P (Female student does not have an A) = Total number of female students / Number of female students without an A

P

Female student does not have an A (Female student does not have an A) = 5/9 P(Female student does not have an A) = 0.56 or 56%.

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The equation 12x+2y=126 can be justified using the slope-intercept form of a linear equation, which states that any linear equation can be written in the form y=mx+b, where m is the slope and b is the y-intercept.

Rearranging the given equation, we can write it in the form y=-6x+63, which follows the slope-intercept form with a slope of -6 and a y-intercept of 63. Therefore, the theorem or postulate that justifies this equation is the slope-intercept form of a linear equation.

The equation 12x + 2y = 126 represents a linear equation in two variables, x and y. The terms you mentioned do not specifically refer to a theorem or postulate, as they typically relate to geometry. However, this linear equation can be solved using algebraic methods such as substitution, elimination, or graphing.

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Answer:

h > -18

Step-by-step explanation:

h + 20 > 2

h > -18

Answer:

if you just wanna solve it its just h>-18 you just subtract 20 from 2

Step-by-step explanation: