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2 years ago

The value of a piece of machinery, in dollars, after t years is described by the function below.

Mathematics

2 answers:

mel-nik [20]2 years ago

8 0

Answer:

6100

Step-by-step explanation:

12500-1600*4=6100

jenyasd209 [6]2 years ago

5 0

Answer:

$6,100

Step-by-step explanation:

12,500-1600(4)

12,500-6,400=6,100

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Identify two ordered pairs below that would form a direct variation:

Aleks [24]

Answer:

(12,3) and (20,5)

Step-by-step explanation:

When using the direct variation equation we can check these by division and we get .25 for the answer of both.

3/12 and 5/20

3 0

2 years ago

If the outliers are not included what is the mean of the data set, 79 79 80 82 50 78 83 79 81 82

White raven [17]

The mean to your question is 62.3
you need to add all of the numbers together and then divide by how many numbers are there to find the answer.

3 0

3 years ago

Given a||b ,and cis not parallel to a or b which of the following are true ? Choose all answers that are correct.

umka2103 [35]

Answer:

Options B and D are true.

Step-by-step explanation:

See the diagram attached.

Line a and b are parallel and line c is not parallel to them.

There is a transverse line and this line forms the angles 1 to 12.

Now, option A gives ∠ 8 + ∠ 10 = 180° which can not be true as line c is not parallel to line b.

Option B gives ∠4 + ∠ 6 = 180° which is true because line a is parallel to line b and ∠ 4 and ∠ 6 are interior supplementary angles.

Option C gives ∠ 1 + ∠ 11 = 180° which can not be true as line c is not parallel to line a.

Option D gives ∠3 + ∠ 5 = 180° which is true because line a is parallel to line b and ∠ 3 and ∠ 5 are interior supplementary angles.

Therefore, options B and D are true. (Answer)

7 0

3 years ago

The cross-sectional areas of a right triangular prism and a right cylinder are congruent. The right triangular prism has a heigh

expeople1 [14]

Answer:

The correct answer is:

The volume of the triangular prism is equal to the volume of the cylinder

Step-by-step explanation:

Given that there are two figures

1. A right triangular prism and

2. Right cylinder

Area of cross section of prism is equal to Area of cross section of cylinder.

Let this value be A.

Also given that Height of prism = Height of cylinder = 6

Volume of a prism is given as:

$V_{Prism} = \text{Area of cross section} \times Height$

$V_{Prism} = A \times 6 ........ (1)$

Cross section of cylinder is a circle.

Area of circle is given as: $\pi r^{2}$

Area of cross section, A = $\pi r^{2}$

Volume of cylinder is given as:

$V_{Cylinder} = \pi r^{2} h\\\Rightarrow V_{Cylinder} = A \times h\\\Rightarrow V_{Cylinder} = A \times 6 ...... (2)$

From equations (1) and (2) we can see that

$V_{Prism}=V_{Cylinder}$

Hence, the correct answer is:

Volume of prism is equal to the volume of cylinder.

3 0

3 years ago

In the diagram, line x|| line y. Find the angle measures below.

Yanka [14]

Answer:

<1 = 95

<2 =85

Step-by-step explanation:

<1 = 95

They are alternate exterior angles and alternate exterior angles are equal when the lines are parallel

<1 + <2 = 180 since they form a straight line

95+ <2 =190

Subtract 95 from each side

95-95+<2 =180-95

<2 =85

5 0

3 years ago