Find the equation of the line below.
5
(2,1)
-5
5

Answer:

C. 40,25,-16,-2 Celsius

Answer:

D

B

Step-by-step explanation:

Answer:

5 5/6

Step-by-step explanation:

Multiply 2 1/3 by 2 1/2.  The easiest way (?!) is to change both mixed numbers to improper fractions (I dislike that name! It just means a numerator bigger than the denominator).

2 1/3 Multiply the denominator 3 by the whole number 2, add the numerator 1 to get 6+1 = 7.  Place that over the denominator, 3.  So 2 1/3 = 7/3.

2 1/2 Multiply the denominator 2 by the whole number 2, add the numerator 1 to get 4+1=5.  Place that over the denominator, 2.  So 2 1/2 = 5/2.

Multiply 7/3 by 5/2.

[tex]\frac{5}{2} \cdot \frac{7}{3}=\frac{35}{6}[/tex]

Finally, convert the improper fractioin 35/6 to a mixed number by dividing 35 by 6 (6 goes into 35 5 whole times with 5 "left over").  The whole number part is 5 and the left over fraction part is 5/6.

5 5/6

Answer:

I believe it’s option c!

Step-by-step explanation:

Correct me if I’m wrong!

$14.40. And then you have the tax. :D

Have A Great Day.

The cost of 2 dozen pens will be "$14.4".

Given:

Cost of 6 pens,

As we know,

then,

                        = [tex]24[/tex]

Now,

→ The cost of 1 pen will be:

= [tex]\frac{3.60}{6}[/tex]

= [tex]0.6[/tex] ($)

hence,

→ The cost of 24 pens (2 dozen) will be:

= [tex]0.6\times 24[/tex]

= [tex]14.4[/tex] ($)

Thus the above solution is right.

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Answer:

First column 35

Second column 60

It is 91.6083916% likely that the soil sample contains organic matter

Step-by-step explanation:

700 -655= 35

300 -240= 60

655 +60 = 715

715÷655 = 0.916083916

0.916083916 x 100 = 91.6083916%

The surface area of the right cone in terms of pi is 176π units².

A cone is simply a 3-dimensional geometric shape with a flat base and a curved surface pointed towards the top.

The surface area of a cone is expressed as;

Surface area  = πrl + πr²

Where r is the radius of the base, l is the slant height of the cone and π is constant pi.

From the diagram:

Radius r = 8 units

Slant height h = 14 units

Surface area =?

Plug the given values into the above formula and solve for surface area:

Surface area = πrl + πr²

Surface area = ( π × 8 × 14 ) + ( π × 8² )

Surface area = ( π × 112 ) + ( π × 64 )

Surface area = 112π + 64π

Surface area = 176π units²

Therefore, the surface area is 176π units².

Option A)176π units² is the correct answer.

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Answer:

C. The cone is ⅓ the volume of the cylinder

Step-by-step explanation:

Volume of a cylinder = πr²h

Volume of a cone = ⅓πr²h

Assuming they both have the same height (h) and radius (r), from the formula given above, we see that the cone is ⅓ of the volume of the cylinder (πr²h)

Let's demonstrate this with figures:

Hypothetically, let,

h = 3 cm

r = 3 cm

Let's plug these values into each formula for a cone and a cylinder:

Cylinder = π*3³*3 = 27π cm³

Cone = ⅓(π*3²*3) = ⅓(27π) = 9π cm³

As you can see, the volume of the cylinder (27π) is 3 times the volume of the cone (9π)

Therefore:

The cone is ⅓ the volume of the cylinder

Step-by-step explanation:

Recognize youre finding the ratio between litres of gas per litres of oil

per always means a ratio

3.75L gas / 1.5L oil

simplify to get 2.5L gas / 1L oil

Answer:

hinh nh ul a caanbang

Step-by-step explanation:

Calorie consumption increases, and weight tends to increase slightly, but the relationship is not very strong.

To compare the daily calorie consumption of teachers to their weight, we can create a scatter plot of the given data, where the calorie consumption is plotted on the x-axis, and the weight is plotted on the y-axis.

Each point on the scatter plot represents a teacher, and the position of the point shows the teacher's calorie consumption and weight.

From the scatter plot, we can see that there is no clear pattern or trend between the calorie consumption and weight of the teachers. However, we can calculate the correlation coefficient between the two variables to quantify the strength and direction of the relationship.

Using a calculator or a spreadsheet program, we can find that the correlation coefficient between calorie consumption and weight is approximately 0.07, which indicates a weak positive correlation.

This means that as calorie consumption increases, weight tends to increase slightly, but the relationship is not very strong.

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Answer:

SSS

Step-by-step explanation:

You can tell by the 2 dashes side and the one dash if that makes sense

Answer: SAS

Step-by-step explanation:

Answer:

Step-by-step explanation:

Surface area of a cube of side-length 0.5m

= 6(0.5)^2 = 6(0.25) = 1.5 sq.m.

Answer:

14mm×20mm=280mm²

14mm×12mm/2=84mm²

3.14×10²mm=314mm²

280m²+84mm²+314mm²=678mm²

Answer:

521mm^2

Step-by-step explanation:

First, separate the shapes.

-Half circle= diameter of 20, radius 10

-Rectangle= 14x20

-Triangle= (32-20)x14= 12x14

Then, calculate

Circle equation= (pi)r^2= (pi)(10)^2= 314.16    -> divide by 2 for half circle= 157.1

Rectangle= 14x20=280

Triangle= (12x14)=168   ->  Divide by two because it's a triangle= 84

Add 157 + 280 + 84 and you get  521

9514 1404 393

Answer:

  (x, y) = (2, 2)

Step-by-step explanation:

We can put the second equation into standard form by dividing by -2.

  x -2y = -2

Adding this to the first equation eliminates x

  (x -2y) +(-x -y) = (-2) +(-4)

  -3y = -6

  y = 2 . . . . . divide by -3

  -x -(2) = -4 . . . . substitute for x in the first equation

  2 = x . . . . . . . . add 4+x

The solution is (x, y) = (2, 2).

Answer:

3

Step-by-step explanation:

Answer:

y = 5.66388 feet, (round that to whatever you need to round to)

Step-by-step explanation:

cos (51) = y/9

cos(51)*9=

y = 5.66388 feet

Answer:

389

Step-by-step explanation:

3*118 + 35

Answer:

Ronald ran at a speed of 14.26 km / h, while Khalil did so at a speed of 9.35 km / h.

Step-by-step explanation:

Given that Ronald and Khalil had a 400 meter race, and Ronald's time was 1 minute and 51 seconds, and Khalil's time was 2 minutes and 34 seconds, to determine how much faster was Ronald time the Khalil’s, the following calculation must be performed:

400 x 2.5 = 1000

60 x 60 = 3600

1.51 = 101 x 2.5 = 252.5

2.34 = 154 x 2.5 = 385

252.5 = 1000

3600 = X

3600 x 1000 / 252.5 = X

14,257.43 = X

385 = 1000

3600 = X

3600 x 1000/385 = X

9,350.65 = X

14,257.43 / 1000 = 14.26

9,350.65 / 1000 = 9.35

Thus, Ronald ran at a speed of 14.26 km / h, while Khalil did so at a speed of 9.35 km / h.

Answer:

(a) [tex]f(n)= 900n -100[/tex]

(b) [tex]f(1) = 800[/tex]; [tex]f(n) = f(n-1) +900[/tex]   for [tex]n \ge 2[/tex]

Step-by-step explanation:

Given

[tex]f(1) = 800[/tex] --- first month

[tex]d = 900[/tex] --- difference in distance covered each month

Required

Find f(n)

To do this, we have:

[tex]a_n = a_1 +d(n -1)[/tex]

Where

[tex]a_1 = f(1) = 800[/tex]

This gives:

[tex]a_n = 800 +900(n -1)[/tex]

[tex]a_n = 800 + 900n - 900[/tex]

Collect like terms

[tex]a_n= 900n +800-900[/tex]

[tex]a_n= 900n -100[/tex]

So, we have:

[tex]f(n)= 900n -100[/tex]

As a recursion, we have:

[tex]f(1) = 800[/tex]

For every other month i.e. [tex]n \ge 2[/tex]

We have:

 [tex]f(n) = f(n-1) +900[/tex]  for [tex]n \ge 2[/tex]

Which means 900 miles plus distance covered in previous month

the answer is x=1/2+3y/4

Answer:

x:(1/2,0)

y:(0,-2/3)

this is the points in the graphic

Answer:

[tex]E(x) = 4.500[/tex] --- Expected value

[tex]SD(x) = 2.872[/tex] --- Standard deviation

Step-by-step explanation:

Given

[tex]\begin{array}{ccccccccccc}x & {0} & {1} & {2} & {3} & {4}& {5} & {6} & {7} & {8} & {9} \ \\ P(X=x) & {\frac{1}{10}} & {\frac{1}{10}} & {\frac{1}{10}} & {\frac{1}{10}} & {\frac{1}{10}}& {\frac{1}{10}} & {\frac{1}{10}} & {\frac{1}{10}} & {\frac{1}{10}} & {\frac{1}{10}} \ \end{array}[/tex]

Solving (a): Expected value

This is calculated using:

[tex]E(x) = \sum\limits^{9}_{i=0} x_i * P(X = x_i)[/tex]

Since they all have the same probability, the formula becomes:

[tex]E(x) = \frac{1}{10}\sum\limits^{9}_{i=0} x_i[/tex]

[tex]E(x) = \frac{1}{10}(0+1+2+3+4+5+6+7+8+9)[/tex]

[tex]E(x) = \frac{1}{10}*45[/tex]

[tex]E(x) = \frac{45}{10}[/tex]

[tex]E(x) = 4.500[/tex]

Solving (b): Standard Deviation

First, we calculate the variance using

[tex]Var(x) = E(x^2) - (E(x))^2[/tex]

In (a), we have:

[tex]E(x) = 4.500[/tex]

[tex]E(x^2)[/tex] is calculated as:

[tex]E(x^2) = \sum\limits^{9}_{i=0} x_i^2 * P(X = x_i)[/tex]

Since they all have the same probability, the formula becomes:

[tex]E(x^2) = \frac{1}{10}\sum\limits^{9}_{i=0} x_i^2[/tex]

So, we have:

[tex]E(x^2) = \frac{1}{10}(0^2+1^2+2^2+3^2+4^2+5^2+6^2+7^2+8^2+9^2)[/tex]

Using a calculator

[tex]E(x^2) = \frac{1}{10}(285)[/tex]

[tex]E(x^2) = 28.5[/tex]

So:

[tex]Var(x) = E(x^2) - (E(x))^2[/tex]

[tex]Var(x) = 28.5 - 4.5^2[/tex]

[tex]Var(x) = 28.5 - 20.25[/tex]

[tex]Var(x) = 8.25[/tex]

The standard deviation is then calculated as:

[tex]SD(x) = \sqrt{Var(x)}[/tex]

[tex]SD(x) = \sqrt{8.25}[/tex]

[tex]SD(x) = 2.872[/tex] ---- approximated

Answer: 39

Step-by-step explanation:

30 32 32 36 42 42 44 45

Answer:

i would say A

Step-by-step explanation:

Answer:

Step-by-step explanation:

The answer is B; 90°

Option C is the correct transformation to transform ABCD to A'B'C'D'.

Rotation involves moving an object about a fixed point. Each point on the object describes a circular path with the center, the center of rotation.

Translation involves moving an object such that only one of the three cartesian coordinates changes during the transformation.

here, we have,

Rotation

Rotate the square ABCD counterclockwise about the origin. Sides AD and BC of square ABCD will become parallel to the sides A'D' and B'C' respectively of the square A'B'C'D'. The square ABCD is, thus, oriented the same way as the square A'B'C'D'.

Vertical Translation

After the rotation, the side AB is 1 unit above the y-axis, which is the same as that of the square A'B'C'D'. So, the vertical position of the square ABCD is the same as that of the square A'B'C'D'.

Horizontal Translation

The side AD of the square ABCD is 5 units to the left of the x-axis. The side A'D' of the square A'B'C'D' is 8 units to the left of the x-axis. So, translate the square ABCD to the left by 3 units to coincide with the position of A'B'C'D'.

Thus, to obtain A'B'C'D' from ABCD first rotate it by 90° counterclockwise then, translate it to the left by 3 units.

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Answer:nice do it

Step-by-step explanation:

what is it about

show the problem

Step-by-step explanation:

Answer:

5250.53 social security, 1227.95 Medicare

Step-by-step explanation:

84686x.062=5250.53 in social security

84686x.0145=1227.95 in Medicare

Answer:

Step-by-step explanation:

look up z-table

3 std div. = 0.00135

Answer:

False.

Step-by-step explanation:

Time-series graph is a graph that relates something to the change of time, then the time is the single variable in this case.

Bar graphs relate a given quantity to a given variable, an example of this can be the population of a given city (represented by the height of each bar) for each different year (which is the single variable in this case)

Pie-chart is a circular graph with defined sections that represent a given proportion. This kind of graph is used to represent percentages, like in the case of a pie chart that describes the number of men and women in a city. (one section of the circle represents the percentage of women and the other section of the circle represents the percentage of men). In this type of graph, there are no variables, so this is not a single variable graph.

Then the statement:

"Examples of graphs of a single variable include pie charts, bar graphs, and time-series graphs."

Is false.

Answer:

wow!

Step-by-step explanation: