Please show your work.


Question D.
This is a diagram of Annie's living room. If she plans to carpet the entire room, how many square feet of carpet will he need?

A: 27.0

B: 71.5

C: 98.5

D: 121

Answer: AB is 40

Step-by-step explanation: CD=CE+ED ED is 5 and it is also the midpoint meaning it is 1/2 of the value of the line. Therefore CD is 10, BC=BD+CD CD as we know is 10 and D is the mid point meaning it is also 1/2 of the value of BC. 10+10=20, AB=AC+BC, BC is 20 so AC must also be 20;therefore AB is 40

Answer:

x=4

length=13

width=-1

Step-by-step explanation:

Given:

The volume of the triangular prism is 216 cubic meters.

To find the volume of a triangular prism, we need to multiply the area of the triangular base by the length of the prism.

Calculate the area of the triangular base.

The base of the triangular face is given as 8 meters, and the height is 9 meters. We can use the formula for the area of a triangle: area = (1/2) * base * height.

Plugging in the values, we get:

Area = (1/2) * 8 meters * 9 meters = 36 square meters.

Multiply the area of the base by the length of the prism.

The length of the prism is given as 12 meters.

Volume = area of base * length of prism = 36 square meters * 12 meters = 432 cubic meters.

Adjust for the shape of the prism.

Since the prism is a triangular prism, we need to divide the volume by 2.

Adjusted Volume = (1/2) * 432 cubic meters = 216 cubic meters.

Therefore, the volume of the triangular prism is 216 cubic meters.

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Simplify by expressing 32 as a product of its prime factors. Write it in index form and apply the power rule: (a^m)^n = a^mn

32 =2x2x2x2x2 = 2^5

(-2^5)^6/5 = -2 ^ 5x6/5 = -2^6

= -64

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The result of simplifying each number (-32)⁶/₅  using the exponent rules is 64  

To solve this exercise we have to resolve algebraic operations following the exponent rules.

(-32)⁶/₅  

Base= -32

Exponent = 6/5

The base number -32 is the same as: -2⁵, then we get:

(-2⁵)⁶/₅  

Using the power of a power rule that indicates that: the exponent result will be the multiplication of these exponents, we have:

(-2)⁵*⁶/₅  

(-2)⁶

64

In mathematics an exponent is the number of time that a number, called (base) is multiplied by itself. It is also called, power or index.

Example: 3² = 3*3 = 9

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Answer:

To solve this problem, we can use the following equation:

T = 2π√(r/g)

where T is the period (time for one complete revolution), r is the length of the rope, and g is the acceleration due to gravity.

First, we need to find the length of the rope. We can use trigonometry to do this:

sin(12°) = r/1.55m

r = 1.55m * sin(12°) = 0.319m

Next, we need to find g. We can use the value of 9.81 m/s^2 for the acceleration due to gravity.

Now we can plug in our values and solve for T:

T = 2π√(0.319m/9.81 m/s^2)

T ≈ 0.807 s

Therefore, the period of the tetherball's motion is approximately 0.807 seconds.

Answer:

In this question the value of x is given 29 so put it in the equation to get answer

\(h(x) = {x}^{2} + 4\)

put the value of x = 29 in the above equation

\(h(x) = {29}^{2} + 4\)

so after solving this equation we get our answer

\(h(x)= 841 + 4\)

\(h(x) = 845\)

Hope it helps u mate

if u like leave a thank

Answer:

the variable x=12.5

Step-by-step explanation:

so first you will insert 29 to the equation

29= x2+4

now you subtract 4 from 29

29-4= 25

since you are multiplying you have to do the opposite operation which would be division so now divide 25 by 2

25/2

now insert your answer

h(12.5)=(12.5)2+4

h would be considered 2.32

The probability that a friend will randomly choose an integer between 1 and 10, inclusive, that is more than 8 or odd is 7/10 or 0.7.

To see why, we can count the number of integers between 1 and 10 that are more than 8 or odd. The integers more than 8 are 9 and 10, and the odd integers are 1, 3, 5, 7, and 9.

The set of integers that satisfy either condition is {1, 3, 5, 7, 9, 10}, which has a total of 6 elements. Since there are 10 possible integers, the probability of choosing an integer that satisfies either condition is 6/10 or 0.6.

However, we must also include the probability of choosing 9 or 10, which individually have a probability of 1/10. Thus, the total probability is 0.6 + 0.1 + 0.1 = 0.7.

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The weakest r-values correlation will be the negative 0.35. Then the correct option is A.

If the actual value of r is between 0.25 and 0.5, the relationship between these two variables is regarded as weak.

These r-values represents the weakest correlation will be the negative 0.35.

Then the correct option is A.

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Answer:

D)

Step-by-step explanation:

Given that the cost is $1.10 per pound, we can calculate the cost per servable pound by dividing the total cost ($1.10 * 4 pounds) by the servable weight (2 pounds). Therefore, the correct option is c. $2.20.

The original weight of the food item is 4 pounds, and the cost per pound is $1.10. Therefore, the total cost of the food item is 4 pounds * $1.10 = $4.40.

The servable weight of the food item is 2 pounds. To find the cost per servable pound, we divide the total cost ($4.40) by the servable weight (2 pounds):

Cost per servable pound = Total cost / Servable weight = $4.40 / 2 pounds = $2.20.

Hence, the cost per servable pound for this food item is $2.20. Therefore, the correct option is c. $2.20.

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Answer:

b = \(\frac{2}{9}\)

c = \(\frac{4}{9}\)

Step-by-step explanation:

There are two 6 on the board out of 9 numbers

There are four numbers greater than 10 out of the nine possiblilites

It is safe to say that it is nearly impossible for devices to be produced at zero production costs.

It is highly unlikely that any devices will be produced if the production cost is R0,00 (assuming R refers to South African Rand). There are various factors involved in the production of devices, including the cost of materials and labor, research and development, marketing, and distribution costs.

Even if we disregard the cost of materials and labor, there are still other production expenses that cannot be escaped, like facility costs, machinery, and intellectual property rights. Furthermore, marketing and distribution costs add considerable expenses.

Therefore, it is safe to say that it is nearly impossible for devices to be produced at zero production costs. Even if a device could somehow be developed without incurring any initial costs, other costs incurred during the device's production, such as power costs, facility rent, and salaries, would have to be covered. Therefore the reality is that there is always a cost involved in producing any device, and that cost must be factored in for any real-world production.

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Answer:

n=95

Step-by-step explanation:

To find the angles inside the triangle, subtract the outside angle from 180 to get the inside angle:

180 - 121 = 59

180 - 144 = 36

Then add these values together and subtract that from 180 to get the missing angle corresponding (next to) angle n:

180 - ( 59 + 36 )

180 - 95 = 85

Then subtract that value from 180 to get the value of angle n:

180 - 85 = 95

Answer is 95.

Hope it helps...

Answer:

first three

Step-by-step explanation:

go directly to the x- value ed2020

first second and third

!:)

Answer:

(a)Grade =7.5% (No warning sign is needed)

(b)Rise =90 feet

Step-by-step explanation:

\(\text{Slope = }\dfrac{Rise}{Run}\)

(a)

Rise = 63 feet

Run (Horizontal distance) = 840 feet.

\(\text{Slope = }\dfrac{63}{840}=0.075\\\\$Grade=Slope \times 100 = 0.075 \times 100 = 7.5\%\)

A warning sign should not be posted since its grade is less than 8%.

(b)

Grade = 9%

Run (Horizontal distance) = 1000 feet.

Recall that:

Grade = Slope X 100

\(9 =\dfrac{Rise}{1000} \times 100\\\\9 =\dfrac{Rise}{10}\\\\$Rise = 9 \times 10 \\$Rise=90 feet\)

The road rises 90 feet over a distance of 1000 feet.

The revised MeanMedian2 class allows the user to input up to 20 values, with the option to stop entering numbers by inputting 9999. It calculates both the mean and median of the provided values.

To implement this functionality, the MeanMedian2 class can prompt the user to enter values in a loop until either 20 values are entered or the user inputs 9999. The entered values can be stored in a list. Once the user is done entering values, the class can compute the mean and median. For the mean, it can sum all the values in the list and divide by the number of values. For the median, it needs to handle two scenarios: an odd number of values and an even number of values. If the list has an odd number of values, the median can be obtained by simply finding the middle value. However, if there is an even number of values, the two middle values can be averaged to get the median.

With this revised class, users can easily input any number of values, up to 20, and get accurate mean and median calculations. Additionally, the option to quit by entering 9999 provides a convenient way for users to stop entering values whenever they want. This updated implementation improves the flexibility and usability of the MeanMedian2 class.

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Answer:

third option: (x+3) / √x+2

Step-by-step explanation:

f(x) = √x+2           g(x) = (x² + 1) / x

(g·f)(x) = g(f(x)) = ((√x+2)² + 1) / √x+2

==> (x+2+1) / √x+2

==> (x+3) / √x+2

Rewrite the angle as a sum or difference with its

reference angle: sin(180° + 20°)

Simplify the expression using the general

reduction formula: sin(20)

Calculate the approximate value: -0.34202

Answer: -0.34202

Answer:

Option 3  (lower left)

Step-by-step explanation:

Answer:

a) yes ASA

b) yes SSS

c) yes SSS

d) yes HL

Step-by-step explanation:

Answer: 72 cubic inches

Step-by-step explanation:

The formula for the volume of a cone: \(\dfrac{1}{3}\pi r^{2}h\)

Formula for the volume of a cylinder: \(\pi r^{2}h\)

We are given that a cylinder should fit exactly inside the cone

Upon comparing the two equations above, we get:

\($$Volume of cone = \dfrac{1}{3}\text{Volume of cylinder}\)

Since we are given the volume of cone is 24 cubic inches, we can write down the below:

\(24 = \dfrac{1}{3}\text{Volume of cylinder }\\ \text{Volume of cylinder = 72 cubic inches}\)

Therefore, we can conclude that if the volume of the cylinder is 72 cubic inches, then the cone with volume of 24 cubic inches can fit exactly in.

Answer:

\(V_{cylinder}=72\:in^3\)

Step-by-step explanation:

Answer:

28.26² yards

Step-by-step explanation:

Diameter is 6.

Radius=Diameter/2. r=6/2

Area=Pi*Radius²

I'll just use 3.14 for pi

Area=3.14*3²

3²=9 3.14*9=28.26

so the answer 28.26²

Function h is the one with the lowest minimum value.

An expression, rule, or law in mathematics that specifies the relationship between an independent variable and a dependent variable (the dependent variable). In mathematics, functions exist everywhere, and they are crucial for creating physical links in the sciences.

A function is more precisely defined as a set of ordered pairs (x,y) with the limitation that there may only be one ordered pair with the same value of x given a set of inputs (domain) X and a set of potential outputs (codomain).

A graph is considered to be a function if any vertical line formed can cross it at most one point. A vertical line cannot cross the graph at more than two points in any location.

Considering the query

f(x) = x² - 2x - 6

given the graph

at its lowest value (1,-7)

h(x) = 2(x-1)²

h(x) = 2 (x² + 1 -2x )

h(x) = 2x² - 4x + 2

Creating the graph

We may view the

Lowest value at (1,0)

The complete question is,

Consider continuous functions f, g, and k. Then complete the statements.

The function that has the least minimum value is function _____. The function that has the greatest minimum value is function _____.

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To prove the converse of the Vertical Angles Theorem, we need to show that if angles LDBC and LABE are congruent and points D, B, and E are on opposite sides of line AB, then they must be collinear.

Given: ∠LDBC ≅ ∠LABE

To Prove: D, B, and E are collinear

Proof:

1. Assume that points D, B, and E are not collinear.

2. Let BD intersect AE at point X.

3. Since D, B, and E are not collinear, then X is a point on line AB but not on line DE.

4. Consider triangle XDE and triangle XAB.

5. By the Alternate Interior Angles Theorem, ∠XAB ≅ ∠XDE (corresponding angles formed by transversal AB).

6. Since ∠LDBC ≅ ∠LABE (given), we have ∠LDBC ≅ ∠XAB and ∠LABE ≅ ∠XDE.

7. Therefore, ∠LDBC ≅ ∠XAB ≅ ∠XDE ≅ ∠LABE.

8. This implies that ∠XAB and ∠XDE are congruent vertical angles.

9. However, since X is not on line DE, this contradicts the Vertical Angles Theorem, which states that vertical angles are congruent.

10. Therefore, our assumption that D, B, and E are not collinear must be false.

11. Thus, D, B, and E must be collinear. Therefore, the converse of the Vertical Angles Theorem is proven, and we can conclude that if ∠LDBC ≅ ∠LABE and D, B, and E are on opposite sides of line AB, then D, B, and E are collinear.

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Answer:

The box is considered a cube so,

4 x 4 = 16

56 divided by 16 = 3.5 is your height

1/2 x 1/2 x 1/2 = 1/8.

56 divided by 1/8 = 7 cubes

It already is to the nearest cent. 25 cents.

Answer:

0

Step-by-step explanation:

The answer is 15.

From the question, we have

60 ÷ 4 = 15

The answer is 15.

Divide:

Repetitive subtraction is the process of division. It is the multiplication operation's opposite. It is described as the process of creating equitable groups. When dividing numbers, we divide a larger number down into smaller ones such that the larger number obtained will be equal to the multiplication of the smaller numbers. One of the four fundamental mathematical operations, along with addition, subtraction, and multiplication, is division. Division is the process of dividing a larger group into smaller groups so that each group contains an equal number of things. It is a mathematical operation used for equal distribution and equal grouping.

Complete question:

Solve: 60 ÷ 4

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The conditional probability of passing the second test, given that the student passed the first test, is approximately 0.857 or 85.7%.

The random variable X represents the outcome of the first test, where it takes on a value of 1 if the student passes and 0 if the student fails.

Similarly, the random variable Y represents the outcome of the second test, taking on a value of 1 if the student passes and 0 if the student fails. Given that the joint probability of passing both tests is 0.6, we can interpret this as the probability of X=1 and Y=1.

The marginal probability of failing the first test is 0.3, which can be represented as P(X=0). To find the conditional probability of passing the second test, given that the student passed the first test, we use the formula \(P(Y=1 | X=1) = P(X=1 and Y=1) / P(X=1).\)

Since we know that \(P(X=1 and Y=1) = 0.6, and P(X=1) = 1 - P(X=0) = 1 - 0.3 = 0.7\), we can substitute these values into the formula:
\(P(Y=1 | X=1) = 0.6 / 0.7\)

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The conditional probability of passing the second test, given that the student passed the first test, is approximately 0.8571 or 85.71%.

The conditional probability of passing the second test, given that the student passed the first test, can be calculated using the formula for conditional probability:

P(Y=1 | X=1) = P(X=1 and Y=1) / P(X=1)

We are given that the joint probability of passing both tests is 0.6, which means P(X=1 and Y=1) = 0.6.

To find P(X=1), we need to use the marginal probability of failing the first test, which is given as 0.3. Since the marginal probability of passing the first test is the complement of failing the first test (i.e., 1 - 0.3 = 0.7), we can say P(X=1) = 0.7.

Now we can substitute these values into the conditional probability formula:

P(Y=1 | X=1) = 0.6 / 0.7

Simplifying this expression, we have:

P(Y=1 | X=1) = 0.8571

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