Which equation can be used to calculate the surface area of the triangular prism net show below?

The net of a rectangular prism. The rectangular sides are 10 centimeters by 13 centimeters, 10 centimeters by 12 centimeters, and 10 centimeters by 5 centimeters. The triangular sides have a base of 5 centimeters and height of 12 centimeters.

[Not drawn to scale]

a
Surface Area = (one-half) (5) (12) + (5) (10) + (12) (10) + (13) (10)

b
Surface Area = (one-half) (5) (13) + (one-half) (5) (13) + (13) (10) + (12) (10)

c
Surface Area = (2) (5) (13) + (5) (10) + (13) (10) + (12) (10)

d
Surface Area = (one-half) (5) (12) + (one-half) (5) (12) + (5) (10) + (12) (10) + (13) (10)

What is the area of the composite figure?

A trapezoid has base lengths of 12 centimeters and 13 centimeters. The other sides have lengths of 5 centimeters and 10 centimeters. A rectangle with side lengths of 2 centimeters and 5 centimeters is connected to the side with length 10 centimeters.

a
70 square centimeters

b
100 square centimeters

c
105 square centimeters

d
130 square centimeters

Answer:

it is linear

Step-by-step explanation:

now this is a case of a an object falling under gravity so gravity is constant which means that the velocity is increased at a constant rate and therefore the graph is going to be linear

that is a straight line graph I hope you get the point

the velocity is going to be increasing constantly with time

Answer:

\( \frac{3}{2} \)

Step-by-step explanation:

to find the slope (gradient) use the formula

\(slope = \frac{change \: in \: y}{change \: in \: x} \)

\( slope = \frac{10 - 1}{7 - 1} \)

\(slope = \frac{9}{6} \)

9/6 can be simplified to 3/2 (as you do 9 ÷ 3 = 3 and 6 ÷ 3 = 2)

the slope is 3/2

True. Poor retention of new recruits often contributes significantly to high turnover rates within organizations. When new employees leave shortly after being hired, it can be costly for the company in terms of recruitment, training, and lost productivity.

This phenomenon is particularly relevant when the turnover rate is disproportionately higher among new hires compared to existing employees.

There are several reasons why poor retention of new recruits can lead to a disproportionate amount of turnover. First, inadequate onboarding and training programs can leave new hires feeling unprepared or unsupported in their roles, leading to dissatisfaction and a higher likelihood of leaving. Second, mismatches between job expectations and the actual work environment can result in disillusionment and early departures. Finally, a lack of mentorship or opportunities for growth and advancement can make new recruits feel undervalued and prompt them to seek opportunities elsewhere.

Addressing poor retention of new recruits is crucial for organizations to reduce turnover, enhance employee engagement and satisfaction, and optimize their recruitment efforts. Implementing comprehensive onboarding programs, providing ongoing support and mentorship, and creating a positive work environment can help improve retention rates and mitigate the disproportionate impact of new hire turnover.

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Answer:

Answer is d=9t.

Step-by-Step:

4.5/.5=9

6.75/.75=9

13.5/1.5=9

Answer:

yes

Step-by-step explanation:

Using the converse theorem of Pythagoras.

If the longest side squared is equal to the sum of the other 2 sides, then the triangle is right.

longest side = 17 and 17² = 289 and

8² + 15² = 64 + 225 = 289

Since 8² + 15² = 17² then the triangle is right.

Answer:

13.4

Step-by-step explanation:

1/3 * 3x + 5.2y

1/3 * 3(3)  + 5.2(2)

1/27  + 10.4

Answer:

B. 13.4

Step-by-step explanation:

We have the fraction, .It is required to find the value of the fraction when

x = 3 and y = 2.So, on substituting these values,

we get,i.e. i.e. i.e.

 So, the value of the fraction is 13.4

Hence, option B is correct.

In year x, it rained on 40% of all Mondays and 20% of all Tuesdays:  in year x, it did NOT rain on 28% of all the weekdays.

To answer your question, we first need to determine the percentage of rainy days for Mondays and Tuesdays, and then find the percentage of non-rainy days for these two weekdays. After that, we can calculate the percentage of non-rainy days for all weekdays in year x.

1. Determine the percentage of rainy days for Mondays and Tuesdays:
- 40% of all Mondays had rain
- 20% of all Tuesdays had rain

2. Calculate the percentage of non-rainy days for Mondays and Tuesdays:
- Non-rainy Mondays: 100% - 40% = 60%
- Non-rainy Tuesdays: 100% - 20% = 80%

3. Determine the total percentage of non-rainy days for all weekdays in year x. Since we don't have information about the other weekdays, we'll assume that the rain probability for those days does not affect the overall percentage.

For this calculation, let's assume there are 52 Mondays and 52 Tuesdays in year x.

- Non-rainy Mondays: 0.60 * 52 = 31.2 days
- Non-rainy Tuesdays: 0.80 * 52 = 41.6 days
- Total non-rainy days for Mondays and Tuesdays: 31.2 + 41.6 = 72.8 days

- Total weekdays in year x: 5 weekdays * 52 weeks = 260 days

4. Calculate the percentage of non-rainy days for all weekdays in year x:

(Non-rainy days for Mondays and Tuesdays / Total weekdays in year x) * 100

(72.8 / 260) * 100 = 28%

Thus, in year x, it did NOT rain on 28% of all the weekdays.

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Answer:

You stated the question, "Is the experimental probability of pulling a red cube greater than, less than, or equal to the theoretical probability of pulling a red cube?

Step-by-step explanation:

Therefore, this question makes no sense.

The expression (2−3i)−3(4+2i)−(1−I)(1+I) simplifies to -15 - 4i.

Let's simplify the given expression step by step:

First, we have (1−I)(1+I), which can be expanded using the difference of squares formula: (a−b)(a+b) = a^2 - b^2. Applying this formula, we get (1^2 - I^2) = 1 - (-1) = 1 + 1 = 2.

Next, we calculate 3(4+2i) by distributing the 3 to each term within the parentheses: 3 * 4 + 3 * 2i = 12 + 6i.

Now, we substitute the simplified expressions into the original expression: (2−3i)−(12 + 6i)−2.

Combining like terms, we have 2 - 3i - 12 - 6i - 2 = -10 - 9i.

Therefore, the expression (2−3i)−3(4+2i)−(1−I)(1+I) simplifies to -15 - 4i.

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Answer:

D, 3/13 simplified from 12/52

Step-by-step explanation:

the reason that it would be 3/13 is because its simplified from 12/52, which is 12 of the possibly of face cards over 52 the amount of cards in the deck, so the possibility was 12/52, but simplified would be 3/13 ! love you !

                     BE SAFE !!!!                      HOPE THIS HELPS!!!!

                                              <3 <3 <3 <3 <3

The probability that the card drawn is a face card is 3/13.

Option D is the correct answer.

It is the chance of an event to occur from a total number of outcomes.

The formula for probability is given as:

Probability = Number of required events / Total number of outcomes.

We have,

There are 3 face cards.

Number of jack = 4

Number of queen = 4

Number of king = 4

Total number of cards = 52

The probability that the card drawn is Jack.

= 4/52

The probability that the card drawn is Queen.

= 4/52

The probability that the card drawn is King.

= 4/52

The probability that the card drawn is a face card.
= 4/52 + 4/52 + 4/52

= 3 x 4/52

=  3 x 1/13

= 3/13

Thus,

The probability that the card drawn is a face card is 3/13.

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Answer:

7

Step-by-step explanation:

x + 4y = 12

4y = -x + 12

Line G:

y = -1/4x + 3

Line H:

y = 4x + b

-5 = 4(-3) + b

-5 = -12 + b

7 = b

Answer: yes

Step-by-step explanation:

Answer:

30%

Step-by-step explanation:

70% of 3,000 is 2,100 therefor 30% is the decrease.

Answer:

the correct answer is the product of PA) and P(B) is not equal to P(A and B)

0.688 will be the probability of getting a nickel from the jar.

Given,

Probability;-

Simply put, probability is the likelihood that something will occur. When we don't know how an event will turn out, we can discuss the likelihood or likelihood of several outcomes. Statistics is the study of events that follow a probability distribution.

Here,

The number of fortunate situations divided by the total number of coins would be the product between the probability of each occurrence and the likelihood of each event.

Therefore,

P(nickel) = 19/69

P(penny) = 17/68

That is,

P = 19/69 × 17/68

P = 323/4692

P = 0.0688

That is,

The probability of getting nickel from the jar is 0.06888

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Answer:  Slope of the line formed by the data is -3.  

m=-3    for    y=mx+b.

Step-by-step explanation:  The slope is the change in y (the rise) divided by the change in x (the run) between two points on the line.  I'll pick 2 points:  (-4,17) and (9,-22).  Any two points will work, if it is a straight line.  For these points, y, the rise, changes from 17 to -22, for a net change of (-22 - 17) = -39 for y.  x, the run, goes from -4 to 9, for a change in x of (9 - (-4)) = 13.

The rise(y) over the run(x) for these points is thus (-39/13) = -3

The slope is -3

g(x) is shifted 8 units to the right and 3 units up is the correct answer.

Given the graph of a function expressed as:

g(x) = (x - 8)^3 + 3

The graph of g(x) = (x - 8)^3 + 3 is obtained by taking the graph of the parent function f(x) = x^3 and performing two transformations:

A horizontal shift of 8 units to the right. This means that the graph of g(x) will be shifted to the right by 8 units compared to the graph of f(x).

A vertical shift of 3 units up. This means that the graph of g(x) will be shifted upwards by 3 units compared to the graph of f(x).

Therefore, the correct answer is: g(x) is shifted 8 units to the right and 3 units up.

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Answer:

Step-by-step explanation:

Four friends go out to lunch together.

For what number of toppings is the price of a personal pizza the same as a calzone?

Let us represent the number of toppings as x

We need to know the price of a personal pizza and the price of a calzone

Mike orders a personal pizza with 2 toppings for $7.00.

2x = $7

x = $7/2

x = $3.50

Dustin orders a personal pizza with 5 toppings for $9.25.

5x = $9.25

x = $9.25/5

x = $1.85

Lucas orders a calzone with 1 topping for $5.75.

x = $5.75

Will orders a calzone with 4 toppings for $8.75.

4x = 8.75

x = 8.75/4

x =2.1875

S cannot be a basis for \(R^{n }\)

What is Matrix ?

A matrix is a rectangular array of numbers or symbols arranged in rows and columns. Matrices are commonly used in mathematics, physics, engineering, computer science, and other fields to represent systems of linear equations, transformations, and other mathematical objects and operations.

The statement "For each b in  \(R^{m }\), the equation Ax - b has a solution" is equivalent to the following statements:

A. The columns of A span \(R^{m }\)

B. Each b in \(R^{m }\) is a linear combination of the columns of A.

E. The matrix A has a pivot position in each column.

To explain why S cannot be a basis for  \(R^{n }\) , we can use the fact that a set of vectors S = {v1, ..., vk} is a basis for  \(R^{n }\) if and only if the matrix whose columns are the vectors in S is invertible. In this case, since k < n, the matrix whose columns are the vectors in S cannot be invertible because it has more columns than rows.

Therefore, S cannot be a basis for \(R^{n }\).

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The correct response is B. 8. The largest of these three integers is 8.

Zero, a positive natural number, and a negative integer denoted by a minus sign are all examples of integers. The negative numbers are the inverse additions of the comparable positive numbers. 0 is an integer because it may be expressed as a full number with no remainder. True. Whole numbers are defined as 0, 1, 2, 3, 4, and so forth. Positive integers are produced when two positive numbers are added as opposed to two negative integers, which results in a sum with a negative sign. The outcome of subtracting two separate signed integers, with the sign of the result matching that of the larger number, is always subtraction.

Let the three consecutive integers be x,(x+1),(x+2)

About the issue, we have

4x=3(x+2)

∴4x=3x+6

∴4x−3x=6

∴x=6

The biggest number will be (x+2)=6+2=8

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The smallest of the three consecutive integers is 6. The largest of these integers is 8. Therefore, the answer is B. 8.

The problem involves finding three consecutive integers such that four times the smallest is three times the largest. To solve the problem, we first let x be the smallest integer. Then, the next two consecutive integers are x+1 and x+2. Using the given information, we can set up an equation and solve for x. Simplifying the equation yields x=6, which means the three consecutive integers are 6, 7, and 8.

Let's call the smallest of the three consecutive integers "x". Then, the next two consecutive integers are x+1 and x+2.

From the given information, we can set up the following equation:

4x = 3(x+2)

Simplifying and solving for x, we get:

x = 6

Therefore, the three consecutive integers are 6, 7, and 8, and the largest of these three integers is 8. So, the answer is:

B. 8

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The converse statement "If an animal is a zebra, then it has stripes" is false, as evidenced by the counterexample of horses and the existence of other striped animals that are not zebras.

The converse of a conditional statement is formed by swapping the hypothesis and the conclusion. In this case, the original statement "Animals with stripes are zebras" can be rephrased as "If an animal is a zebra, then it has stripes." Now, we need to evaluate the truth value of this converse statement.

The converse statement is false. It is not true that if an animal is a zebra, then it has stripes. A counterexample that disproves this statement is a horse. Horses are animals that can have stripes, such as in the case of some horse breeds like the Appaloosa or the zebra hybrid known as a zorse. However, horses are not zebras themselves.

In the original statement, it was stated that animals with stripes are zebras. While it is true that zebras have stripes, it does not imply that all animals with stripes are zebras.

The presence of stripes does not solely define an animal as a zebra. There are various animals in the animal kingdom that exhibit stripes, such as tigers, chipmunks, and certain fish species, but they are not zebras.

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Yes, the equation of velocity is rearranged to find the area under the curve.

The equation of velocity in general is v = d/t

where v = velocity, d = distance, and t = time.

We rearrange this equation to create an equation for distance and the equation of distance determines the area under the curve.

Our motive is to isolate the variable whose equation we want to create. So, in this case, isolate 'd' and move all other variables to the other side.

1. Multiply both sides by t

v × t = d/t × t

2. Cancel the t where appropriate

v × t = d

3. We get the equation for d

d = v × t

Now, this equation is used to find the area under the curve.

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Answer: Cal's answer must be incorrect because the sum of angles is incorrect.

Step-by-step explanation:

The sum of all interior angles of a triangle is 180 degrees.

According to Cal, the three angles of the triangle has magnitude 65, 45 and 60 respectively.

Sum of angles = 65+45+60

i.e. Sum of angles = 170 which is not equal to 180

Hence, Cal's answer must be incorrect because the sum of angles is incorrect.

Answer:

(c) is correct.

Step-by-step explanation:

(c) 9 + 2(4) = 9 + 8 = 17

Answer:

200

Step-by-step explanation:

0.2 * x = 40

40 / 0.2 = 200

The volume of the largest rectangular box in the first octant with three faces in the coordinate planes and one vertex in the plane x + y + z = 3 is 27.

We can use the following steps to solve the given problem:

Step 1: Consider the given plane equation x + y + z = 3.

Step 2: Now, find the intercepts of the plane on the axes, as follows:Putting x = 0 and y = 0 in the equation x + y + z = 3, we get z = 3.So, the z-intercept is 3.Putting x = 0 and z = 0 in the equation x + y + z = 3, we get y = 3.So, the y-intercept is 3.Putting y = 0 and z = 0 in the equation x + y + z = 3, we get x = 3.So, the x-intercept is 3.Therefore, the intercepts of the plane x + y + z = 3 on the three axes are 3, 3, and 3.

Step 3: Let the rectangular box be of dimensions l, b, and h, respectively, and one of its vertices be (0, 0, 0).So, the other three vertices of the box will be (l, 0, 0), (0, b, 0), and (0, 0, h).Also, the coordinates of the vertex of the rectangular box on the plane x + y + z = 3 will be (3, 0, 0), (0, 3, 0), and (0, 0, 3).Hence, l = 3, b = 3, and h = 3.Substituting these values in the formula for the volume of a rectangular box, we get:V = l × b × h= 3 × 3 × 3= 27Therefore, the volume of the largest rectangular box in the first octant with three faces in the coordinate planes and one vertex in the plane x + y + z = 3 is 27.

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Answer:(x-5)/8

Step-by-step explanation:

f(x)=8x+5

   let f(x)-1=y

y=8x+5

interchanging x and y

x=8y+5

y=(x-5)/8

Therfore f(x)-1=(x-5)/8

Answer:

x-5/8

Step-by-step explanation:

This equation is False.

5/6-(2/3-4/9) = 11/18

(5/6-2/3)-4 = -23/6

Showing two different answers, so no they are not equal.

Answer:

Step-by-step explanation:Ok so yes I agree with him or her if you divide and once you double it and move the Decimal then you should get your answer so yes B is the right answer.