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4 years ago

I REALLY NEED HELP ON 40 and 41, 50 POINTS

Mathematics

1 answer:

photoshop1234 [79]4 years ago

3 0

Question 40 is D because from looking at the graph, its is symmetrical and the mean is the average, which usually the middle of the graph, so is the median. The median and mean would be within the 2.1-3 category because its the middle of the graph.

Question 41 is B because every pound is 16 ounces. If you multiply 16 and 12.5, you'll get 200.

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If you plot and connect these points P1(3,2) and P2(6,8) , what figure is Formed? What is the Direction?

Sergio [31]

Answer:

Please check the explanation.

Step-by-step explanation:

Given the points

P1(3, 2)

P2(6, 8)

When we plot P1(3, 2) and P2(6, 8), we determine the line segment P1P2.

The direction of the segment is from P1 to P2.

Determining the length of the segment P1P2.

$\:l=\:\sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}$

$=\sqrt{\left(6-3\right)^2+\left(8-2\right)^2}$

$=\sqrt{3^2+6^2}$

$=\sqrt{45}$

$=\sqrt{5}\sqrt{3^2}$

$=3\sqrt{5}$

Thus, the length of the segment is:

$\:\:\:l=3\sqrt{5}$

Determining the equation of a line containing the segment P1P2

Given the points

P1(3, 2)

P2(6, 8)

Finding the slope between P1(3, 2) and P2(6, 8)

$\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}$

$\left(x_1,\:y_1\right)=\left(3,\:2\right),\:\left(x_2,\:y_2\right)=\left(6,\:8\right)$

$m=\frac{8-2}{6-3}$

$m=2$

Using the line point-slope form of the line equation

$y-y_1=m\left(x-x_1\right)$

where m is the slope of the line and (x₁, y₁) is the point

substituting the values m = 2 and the point (3, 2)

$y-2=2\left(x-3\right)$

Add 2 to both sides

$y-2+2=2\left(x-3\right)+2$

$y=2x-4$

Thus, the equation of a line containing the line segment P1P2 is:

$y=2x-4$

8 0

3 years ago

Helllp please <br> Find the area of The following figures. Dimensions are in centimeters.

lukranit [14]

Answer:

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5 0

3 years ago

Read 2 more answers

Todd has 21 white tiles dnd some black tiles to make a mosaic. The mosaic has a total area of 144 Square centimeters. Each tile

tekilochka [14]

Answer:the number of black tiles that Todd used is 27

Step-by-step explanation:

Let x represent the number of black tiles that Todd used.

Todd has 21 white tiles and some black tiles to make a mosaic. Each tile has an area of 3 square. It means that the total area of the white tiles is 21 × 3 = 63 cm^2

The total area of the white tiles is x × 3 = 3x cm^2

The mosaic has a total area of 144 Square centimeters. It means that

3x + 63 = 144

3x = 144 - 63 = 81

x = 81/3 = 27

3 0

3 years ago

Explain how to solve 3^x-4=6 using the change of base formula log base b of y equals log y over log b. include the solution for

Alexxandr [17]

Answer:

x = log 10/log 3

Step-by-step explanation:

3^x - 4 = 6

3^x = 10

We take log base 3 of both sides since log_3 3^x is simply x.

log_3 3^x = log_3 10

x = log_3 10

We have an answer for x, but it is a log base 3. We want log base 10.

Now we use the change of base formula.

log_b y = log y/log b

x = log 10/log 3

7 0

3 years ago

Fred purchased a piece of artwork for 6200, and it is expected to increase in value by 5% per year. Write a function y to repres

yKpoI14uk [10]

Answer:

y = a(1 + r) ^v

y = 6200( 1 + 0.05)^v

y = 6200(1.05)^v

Step-by-step explanation:

Fred purchased a piece of artwork for 6200, and it is expected to increase in value by 5% per year. Write a function y to represent the value of the piece of artwork after v years.

The function we can used to represent the above question is given as Exponential Growth function.

Where the number of years = v

The value of the artwork = y

y = a(1 + r) ^v

Where

a = Initial value of the artwork = 6200

r = Growth rate = 5% = 0.05

v = number of years

Therefore, the function y to represent the value of the piece of artwork after v years is written as:

y = 6200( 1 + 0.05)^v

y = 6200(1.05)^v

7 0

3 years ago