what is the slope of the line shown below?

Complete question:

Two stacks of 23 quarters each are shown below. One stack forms a cylinder but the other stack does not form a cylinder.

Use Cavelieri’s principle to explain why the volumes of these two stacks of quarters are equal.

Answer:

In this image, we have 2 stacks, whereby one stack forms a cylinder and the other stack doesn't form a cylinder.

We are required to use Cavelieri’s principle to explain why the volumes of the two stacks of quarters are equal.

Cavelieri’s principle states that the volume of two solid figures will be equal if both figures have equal height, the distance from their respective base is equal and their corresponding cross section are of the same area.

Here, we can see that the quater of each stack have the same base area. Since, both quaters have the same base area, there will be no difference in the area of the cross section of both stacks.  

The volume of these 2 stacks of quarters will be equal because both stacks have have the same height of 23 quaters.

Answer:

125.66 in2

Step-by-step explanation:

The area of the pizza is given by the formula:

Area = pi * radius^2

The radius of the pizza is half the diameter, so radius = 16/2 = 8 inches

Then, the total area is:

Area = pi * 8^2 = 64pi in2

They will put cheese in 5 of the 45° slices, so the total angle covered is 5 * 45° = 225°.

If the full area of the pizza is 360°, we can find the area covered by cheese using a rule of three:

360° -> 64pi in2

225° -> x in2

x = (225/360) * 64pi

x = 125.66 in2

Answer:

the answer is b

Step-by-step explanation:

plz give me a Brainliest

A word that describes the slope of the line is negative. The correct answer is option B.

A graph is the representation of the data on the vertical and horizontal coordinates so we can see the trend of the data. It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

For this case the first thing you should know is that we have an equation of the form:

y = mx + b

Where,

m: The slope of the line

b: Cutting point with the vertical axis.

For this case, we observe that the values of y decrease when the values of x increase. Therefore, the function decreases.

This means that it is true that:

m < 0

Therefore, the slope of the line is negative.

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Answer:

A

Step-by-step explanation:

These shapes are not identical, because the angles and sides are mirrored, but much like a mirrored object, they are similar. Another way to explain it is when you look into a mirror what you are seeing is not what people see when they see you with their eyes, it's a REFLECTION!

The correct option is Option A: figure ABCD is similar to A′B′C′D′.

Reflection is the translation of the figure about an axis or point so that the distance of the reflected figure from the axis is the same as the distance of the original figure from the axis.

When a point of coordinate (x,y) is reflected about the y-axis then the coordinate of the reflected point will be (-x,y).

In quadrilateral ABCD the coordinate of A is (2,5) and the coordinate of A' is (-2,5). Here the coordinate of y is unchanged and the x coordinate is changed negatively. So point A' is the reflection of point A.

In quadrilateral ABCD the coordinate of B is (1,2) and the coordinate of B' is (-1,2). Here the coordinate of y is unchanged and the x coordinate is changed negatively. So point B' is the reflection of point B.

In quadrilateral ABCD the coordinate of C is (3,1) and the coordinate of C' is (-3,1). Here the coordinate of y is unchanged and the x coordinate is changed negatively. So point C' is the reflection of point C.

In quadrilateral ABCD the coordinate of D is (4,5) and the coordinate of D' is (-4,5). Here the coordinate of y is unchanged and the x coordinate is changed negatively. So point D' is the reflection of point D.

So all the points of quadrilateral ABCD are reflected about the y-axis.

As it is a reflection about the y-axis for which the size will not be changed and both the reflected and the original figure will be similar.

Therefore the correct option is Option A: figure ABCD is similar to A′B′C′D′.

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Answer:

68.245

Step-by-step explanation:

total cost = $81.05

10% discount is 10/100× 81.05=8.105

substract 8.105 from 81.05= 72.945

with a 6.5% sales tax

6.5/100× 72.954 = 4.7

72.945-4.7= 68.245 the actual price

if am wrong let me know

Answer:

option A

Step-by-step explanation:

to find the correlation coefficient by hand, first put your data pairs into a table....

Graph C indicates the graph which has a correlation coefficient, r, closest to 0.75.

Correlation coefficient of a data is the measure which indicates the strength of the linear relationship among two variables in a scatterplot.

Given are four graphs.

The range of values for correlation coefficient, r is from -1 to 1.

The value closest to -1 is considered weak linear relationship between the variables and value closest to 1 considered strong linear relationship between the variables.

Here the value of r is closest to 0.75.

Since it is closest to 1, the linear relationship is stronger. This means that the data points are more centered to form a line or they are close to each other.

Two such graphs are B and C.

Since r is 0.75, it is positive, So the relationship is positive.

So graph C is the correct one.

Hence graph C is the required graph.

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Answer:

graph c

y= 3/2 x² +4x-2 would be graphed on the left side of the graph and the vertex would be just a little more than -4

Answer:

Step-by-step explanation:

P(x)= x^2-5x+c=0

P (-2)= (-2)^2-5 (-2)+c=0

= 4+10+c=0

=14+c=0

C=(-14)

Answer:

[tex]\fbox{\begin{minipage}{4em}c = -14\end{minipage}}[/tex]

Step-by-step explanation:

Given:

A quadratic equation: [tex]x^{2} - 5x + c = 0[/tex], with [tex]x =-2[/tex] is a solution.

Solve for:

Value of c

Step 1: define the problem

If [tex]x = -2[/tex] is a solution of equation [tex]f(x) = 0[/tex], then [tex]f(-2) = 0[/tex]

Step 2: Perform the calculation

Substitute [tex]x = -2[/tex] into original quadratic equation, we have:

[tex](-2)^{2} - 5(-2) + c = 0[/tex]

Perform the square and multiplication:

[tex]4 + 10 + c = 0[/tex]

Transfer all of numbers to the right side, except c:

(notice for the change in sign of numbers)

[tex]c = (-4) + (-10)[/tex]

Perform the sum on the right side to get c:

[tex]c = -14[/tex]

Hope this helps!

:)

Answer:

D) A = 2p and B = 1/p

Step-by-step explanation:

To divide this,

we first see how many times 3p will go into 6p².

 [tex]\frac{6p^2}{3p} = 2p[/tex]

It will go in 2p times; this goes up top of the problem.

Multiplying back through, we have

[tex]2p*3p = 6p^2[/tex]

Subtracting this from the first term under the box, we have

[tex]6p^2-6p^2= 0.[/tex]

 This cancels.  Bring down the next term, 9p.

See how many times 3p goes into 9p = [tex]\frac{9p}{3p}=3[/tex]

it goes in 3 times.  This goes up top, beside the 2p.  We separate them with a +, since the 3 is positive.

Multiplying back through, we have 3(3p) = 9p.  

Subtract this from the line above; 9p-9p = 0.  

Bring down the last term, 3.  

Since this is not 0, this is the remainder.  

This gives us

2p + 3 R 3;

writing this as a rational expression, we have

[tex]2p + 3 + \frac{3}{3p}[/tex]

The remainder term, [tex]\frac{3}{3p}[/tex], will simplify to 1/1p or 1/p;

this gives us

[tex]2p + 3 + \frac{1}{p}[/tex]

Therefore, the answer is  A = 2p and B = 1/p

Answer:

D) A = 2p and B = 1/p

Step-by-step explanation:

Answer:

115

Step-by-step explanation:

4*2+8(2) = 24

31

7(2)+30 = 44

3*2-5(2)+20 = 6-10+20 = -4+20 = 16

24+31+44+16

115      

Answer:

it is given , angle 2 , angle 3 , converse alternate exterior angles theorem

Step-by-step explanation:

We know that angle 1 is congruent to angle 3 and that line l is parallel to line m because  it is given . We see that angle 2 is congruent to  angle 3  by the alternate interior angles theorem. Therefore, angle 1 is congruent to angle 2 by the transitive property. So, we can conclude that lines p and q are parallel by the converse alternate exterior angles theorem .

Answer:

✔ it is given

✔ angle 2

✔ angle 3

✔ converse alternate exterior angles theorem

Answer:

[tex]y = \frac{1}{2} x+\frac{3}{2}[/tex]

Step-by-step explanation:

Answer: D

Step-by-step explanation:

Answer:

angles 1 and 4, and angles 2 and 3

Answer:

1 and 4, 2 and 3

Step-by-step explanation:

Does this actually seem difficult? If you're in High school, because i'm in Middle school and I can answer this question.

Answer:

The answer should be 22 ounch Hence,kevita is write but there should be 7.50 not 6.50 in kevita equation

Answer:

x=22

Step-by-step explanation:

set all of your values equal to 360 (bc thats the value of the degrees in a circle) and then solve for x!

75 + 92 + ( x+57 ) + ( x+92) = 360

( x+57 ) + ( x+92 ) = 201

2 x = 44

x = 22

Answer:

525 mm

Step-by-step explanation:

The edges of A : B = 2.5, thus

The perimeters of A : B = 2.5

Thus the perimeter of B is 2.5 times the perimeter of A

perimeter of B = 2.5 × 210 mm = 525 mm

Answer:

43 2/5

Step-by-step explanation:

change each of the mixed fractions to improper fraction.

-11  2/3 = -31/3

-4 1/5 = -21/5.

Multiply them now:

-31/3 x -21/5 = 651/15

Then turn 651/15 to a mixed fraction because the question was in mixed fractions:

43 6/15 = 43 2/5 (simplified)

Please mark brainiest

Answer:

I believe it's major arc

Step-by-step explanation:

Second option on edge

Answer:

b

Step-by-step explanation:

Answer:

$104

Step-by-step explanation:

First, convert 60% to a decimal.

60% = 0.6

Now, multiply the cost to buy the camera ($65) by the decimal.

$65 × 0.6 = $39

Now, add this amount to the amount it cost to buy the camera.

$65 + $39 = $104

The selling price for the camera will be $104.

Answer:

The answer is $104

Answer:

150=2x5x5x3, or 150=2x5^2x3

Step-by-step explanation:

150=50x3

50=5x10

10=2x5

150=2x5x5x3

Answer:

1/6 of 42:

first, of is the same as multiplication so change this:

1/6 * 42

put 42 over 1 so they are both fractions:

1/6 * 42/1

Now solve:

42/6

= 7

:) brainliest?

(if u meant the sixth root of 42, it's about 1.86)

Answer:

7

Step-by-step explanation:

42/6=7

Answer:

720

Step-by-step explanation:

The lock requires that repetition is not allowed.

The possibles numbers are 0 - 9, that is, 10 digits.

The first number in the combination can be picked from the 10 digits.

This means that there are 10 possible choices.

The second number in the combination can now only be picked from 9 digits.

This means that there are 9 possible choices.

The third number in the combination can now only be picked from 8 digits.

This means that there are 8 possible choices.

Therefore, the number of possible outcomes in the combination is:

10 * 9 * 8 = 720 outcomes

Answer:

9b-8

Step-by-step explanation:

6b+5b-2b-8

11b-2b-8

9b-8

In parallelogram PQRS, QP is extended to point T and ST is drawn. If ST = SP and m∠R = 130°, what is m∠PST?

Answer: 80°

Step-by-step explanation:

ST = SP and m∠R = 130°

If m∠R = 130°, then,

QPS = 130° ( Opposite angles of a parallelogram are equal)

QPS + SPT = 180° (angle on a staght line)

130° + SPT = 180°

SPT = 180° - 130° = 50°

PTS = SPT = 50° (Base Angle of an isosceles triangle)

m∠PST = 180° - (50° + 50°) (sum of Angle in a triangle)

m∠PST = 80°

Answer:

Step-by-step explanation:

Since length times width = the area, you know that the area divided by the length is the width. This means that 6x^2 + 10 / 2 = the length.

6x^2 / 2 = 3x^2

10/2 = 5

You end up with 3x^2 + 5 as the length.

Answer & Step-by-step explanation:

Since you trying to find the width when you are given the length and the area, then you are going to divide the area by the length to get the width.

(6x² + 10) ÷ 2

We can also put this into a fraction so it will be easier to know what you are dividing.

[tex]\frac{6x^2+10}{2}[/tex]

Divide 6x² by 2 and divide 10 by 2. Keep the exponent because 2 does not have a variable.

So, your width will be 3x² + 5

Answer:

B and C

Step-by-step explanation:

A. y + 11 = 22         →  subtract 11 from both sides:

    y = 11

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B. 8 = 18 - y           →  subtract 18 from both sides:

    -10 = -y              →  divide both sides by -1:

     10 = y

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C. 60 = 6y             →  divide both sides by 6:

    10 = y

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D. [tex]\frac{y}{5}[/tex] = 4                  →  multiply both sides by 5:

   y = 20

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E. 10y = 20            →  divide both sides by 10:

     y = 2