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aliina [53]
3 years ago
6

A 100 point test has x questions worth 2 points a piece and y question worth 4 points a piece. Write an equation that describes

all possible numbers of questions that may be on the test
Mathematics
1 answer:
adelina 88 [10]3 years ago
6 0
The equation that describes all possible numbers of questions that may be in the test is 100= 2x+4y.
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A large washer has an outer radius of 10mm and a hole with a diameter of 14mm. What is the area of the top surface of the washer
choli [55]
<h2>Answer:</h2>

The area of the top surface of the washer is:  160.14 square mm.

<h2>Step-by-step explanation:</h2>

The top of the surface is in the shape of a annulus  with a outer radius of 10 mm and a inner radius of 7 mm ( since the diameter of the hole is: 14 mm and we know that the radius is half of the diameter)

Now, we know that the area of the annulus region is given by:

Area=\pi (R^2-r^2)

where R is the outer radius and r is the inner radius.

Here we have:

R=10\ mm\\\\and\\\\r=7\ mm

Hence, we have:

Area\ of\ top\ surface=\pi (10^2-7^2)\\\\i.e.\\\\Area\ of\ top\ surface=\pi (100-49)\\\\i.e.\\\\Area\ of\ top\ surface=\pi\cdot 51\\\\i.e.\\\\Area\ of\ top\ surface=160.14\ mm^2

4 0
3 years ago
Read 2 more answers
Which equation represents the graphed function?
nadezda [96]

9514 1404 393

Answer:

  y = 1/4x -2

Step-by-step explanation:

The line rises one unit from -2 to -1 as x changes from 0 to 4. The slope is ...

  m = rise/run = 1/4

The y-intercept (b) is where the line crosses the y-axis, at y = -2.

The equation in slope-intercept form is ...

  y = mx + b

  y = 1/4x -2

8 0
3 years ago
Amrita bought a new delivery van for $32,500. The value of this van depreciates at a rate of 12% each year. Write a function f(x
FrozenT [24]

Answer:

The function, f(x) to model the value of the van can be expressed as follows;

f(x) = 32,500 \times \left(0.88\right)^x

Step-by-step explanation:

From the question, we have;

The amount at which Amrita bought the new delivery van, PV = $32,500

The annual rate of depreciation of the van, r = -12% per year

The Future Value, f(x), of the van after x years of ownership can be given according to the following formula

f(x) = PV \cdot \left(1 + \dfrac{r}{100} \right)^x

Therefore, the function, f(x) to model the value of the van after 'x' years of ownership can be expressed as follows;

f(x) = 32,500 \cdot \left(1 - \dfrac{12}{100} \right)^x = 32,500 \cdot \left(0.88\right)^x

8 0
3 years ago
The number square root of 3 goes on forever with no repeating pattern therefore it is rational?
vova2212 [387]

Answer:

False

Step-by-step explanation:

A number that can expressed as \frac{p}{q},

Where, p and q are integers such that q ≠ 0, is called a rational number.

Also, a decimal number with repeating pattern is a rational number,

( for eg : 0.333.... = \frac{3}{9} )

Since,

√3 = 1.73205080757.....

∴ There is no repeating pattern

Thus, √3 is not a rational number.

Given statement is FALSE.

8 0
3 years ago
NEED HELP WITH THIS NEED URGENT PLEASE!!!!!<br> PLEASE ILL MRK BRAINLIEST PLEASE FAST URGENT PLZ!
Schach [20]

Answer:

Table D. shows the proportional relationship.

You would plot those points on their corresponding part on the graph, like (2,1), (6,3), (8,4), and (10,5). The first number being the x value and the second number being the y value. Remember, x goes from side to side, and y goes up and down.

4 0
3 years ago
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