The volume of a stack of identical circular drink coasters, each 1 centimeter thick, can be found using the function V(r)=8pi r^2 where r is the radius of a coaster. What does the constant 8 in the function represent?

Step-by-step explanation:

Total professors = 10

Probability of chemistry professors = 2/6 = 1/3

Answer:

y=4x-31

Step-by-step explanation:

Ignore the hint. Point slope form makes everything so much harder than it has to be.

Parallel lines always have the same slope, in this case 4.

So our equation is now: y = 4x + b

Let's solve for b by plugging in (5, -11), as it's the only point we know is on the parallel line.

-11 = 4(5) + b

-11-20 = b

b = -31

So plug in b: y = 4x - 31

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Also rate and tell me if I'm correct :)

Answer:

y = -4x + 15.

Step-by-step explanation:

To find the equation of a line perpendicular to y = -2 and passing through the point (4, -1), we can use the point-slope form of a linear equation.

The given line y = -2 has a constant slope of 0 since there is no variable term involving x. A line perpendicular to it will have an undefined slope.

Using the point-slope form, we have:

y - y₁ = m(x - x₁),

where (x₁, y₁) represents the coordinates of the given point (4, -1), and m represents the slope.

Since the slope is undefined, the equation becomes:

y - (-1) = undefined(x - 4).

Simplifying:

y + 1 = undefined(x - 4).

Now, we can write the equation in slope-intercept form by substituting the slope as -4 (the negative reciprocal of 0):

y + 1 = -4(x - 4).

Expanding the right side:

y + 1 = -4x + 16.

To isolate y, we can subtract 1 from both sides:

y = -4x + 16 - 1.

Combining the constants:

y = -4x + 15.

Therefore, the equation of the perpendicular line is:

y = -4x + 15.

Answer:

4) 8^14

7) h^7

10) 29^8 over 10^8

Step-by-step explanation:

If the numbers have the same base, just add their exponents together. So 10 plus 4 is 14.

Same thing for the second problem, since you have the same base, just add the exponents together. 6 plus 1 is 7

The bases are the same so just add the exponents, 7 plus one is 8.

(-2.9)^8

Convert it into a fraction: -(29/10)^8

Raise the fraction to the power (8) and the numerator and denominator to that power: 29^8/10^8

Hope this helps :)

8¹⁴

Step-by-step explanation:

4.) 8¹⁰×8⁴

=8 to the power (10+4)

=8¹⁴

7.) h⁶xh¹

=h to the power (6+1)

=h^7

10.) (-2.9)^1×(-2.9)^7

=(-2.9)^7+1

=(-2.9)^8

Answer:

1) False

2) True

3) False

4) True

5) True

6) False

7) True

8) True

Answer:

The electron configuration of an element describes how electrons are distributed in its atomic orbitals. Electron configurations of atoms follow a standard notation in which all electron-containing atomic subshells (with the number of electrons they hold written in superscript) are placed in a sequence. For example, the electron configuration of sodium is 1s22s22p63s1.

Step-by-step explanation:

Answer:

The interest rate was 42.5%.

Step-by-step explanation:

Answer:

Height of Planter = H = 20 in²

Step-by-step explanation:

As the planter is not given in the question, the question is incomplete.

First, lets complete the question by attaching the diagram related to this question.

(SEE THE ATTACHMENT)

Lets consider the right angled triangle that is formed at the top of the planter, as shown in the diagram attached.

The right angled triangle has a width of 16 inches and a heights of 16 inches as well.

We know that the Area of a triangle can be calculated by following formula:

[tex]A=\frac{1}{2}\cdot(width)\cdot(height)[/tex]

Substitute the values to find Area:

[tex]Area = \frac{1}{2}\cdot16\cdot16\\Area = 128 in^2[/tex]

We also know that the Volume of a triangular prism is given by:

[tex]Volume=(Area)\cdot(Height)[/tex]

Where

Area = Area of the face = 128 in²

Height = Height of the planter = H

Volume = 2560 in³

Substitute the values and solve for H:

[tex]2560=128\cdot{H}\\H=\frac{2560}{128}\\H=20in^2[/tex]

Answer:

C

Step-by-step explanation:

You take the fractions and turn them into mixed numbers. You do that by multiplying the whole number with the denominator and adding the numerator for the new numerator and the denominator stays the same. Now, you'd get -45/8 + 7/2. Change the denominator of the second one to 8 so you can add them, do this by multiplying the numerator and denominator by 4. Now you get -45/8 + 28/8. -45 +28 is -17 so your answer is -17/8. If you need it In mixed form, 8 goes into -17 2 times so you get -2 and the remainder 1/8 so -2 1/8.

Answer:

(-4, 2)

Step-by-step explanation:

By looking at the graph, the solution to the system of linear equations will always be where they intercept. If they both are the same line it means that there are infinite solutions, and if they don't intercept at all, that means there are no solutions.

Answer: false

Step-by-step explanation:

The exponents would have to have a different sign from each other (positive or negative), not the integer.

Answer: 1 squealer apart if on a square grid

Step-by-step explanation:

Answer:

The distance is 1

Step-by-step explanation:

Since the x coordinates are the same, we only need to look at the y coordinates

-3 - -4

-3 +4

1

Answer:

b

Step-by-step explanation:

Answer:

0.02

Step-by-step explanation:

[tex]0.2\times -0.5\times (-0.9 - -0.7)= \\\\0.2\times -0.5 \times (-0.2)= \\\\0.02[/tex]

Hope this helps!

0.02

[tex]solution \\ 0.2 \times \: - 0.5 \times ( - 0.9 - ( - 0.7)) \\ = 0.2 \times ( - 0.5) \times ( - 0.9 + 0.7) \\ = 0.2 \times( - 0.5) \times ( - 0.2) \\ = - 0.1 \times ( - 0.2) \\ = 0.02[/tex]

hope this helps..

Good luck on your assignment

Answer: The right answer for the question that is being asked and shown above is that: "Its length is twice the 3rd side." In a triangle, a segment is drawn joining the midpoint of two sides. The statement that is true about this segment is that Its length is twice the 3rd side

Step-by-step explanation:

Answer:    Its length is twice the 3rd side.

Answer:

f(t) = $67000(.30)^t          (Must use " ^ " to indicate exponentiation)

Step-by-step explanation:

This is an exponential function:

f(t) = $67000(.30)^t  (Must use " ^ " to indicate exponentiation)

Answer:

m = - 1/3

Thats the answer.

Step-by-step explanation:

Answer:

a) 2/5 x 900 = 360 hectares

b) 3/5th

c) 3/5 x 900 = 540

540 - 360 = 180

Farmer Richards needs to bring another 180 hectares under cultivation.

Answer:

3

Step-by-step explanation:

Answer:

1

From -2 to 0 there is 2, but from  1 to 3 there is also 2, so 2/2=1

Answer: n = 42

Step-by-step explanation:

56 - 14 = 42

If + and - are right next to each other, the + cancels out.

Answer:

i agree with Thetides5 the answer is n=42

Step-by-step explanation:

plz give me a brainliest i been working so hard to get a brainliest but no one has give me me one so plz can u give me one??? And hope this helps :D

Answer:

x is equal to 16 degrees

Angle measures 62 degrees

Step-by-step explanation:

From Law of Sines:

XW/sin(∠Y) = WY/sin(∠X)

From the picture

XW = 8

WY = 8

∠X = 62°

Replacing into the equation:

8/sin(∠Y) = 8/sin(62°)

∠Y = 62°

Angle Y is also equal to:

∠Y = 4x - 2

62 = 4x - 2

62 + 2 = 4x

64/4 = x

16° = x

Answer:

x = 10

Step-by-step explanation:

Data

Given that A, B, and C are collinear points and B is between A and C, then the addition of the measure of segments AB and BC must be equal to the measure of segment AC, that is:

AB + BC = AC

Replacing with data:

2x + (x - 2) = 28

3x - 2 = 28

3x = 28 + 2

x = 30/3

x = 10

Answer:

A

Step-by-step explanation:

cause it only has 3 in l side

The probability of a 3 showing on the dice would be equal to 1/6. the correct option is A.

Probability refers to a possibility that deals with the occurrence of random events.

The probability of all the events occurring need to be 1.

The formula of probability is defined as the ratio of a number of favorable outcomes to the total number of outcomes.

P(E) = Number of favorable outcomes / total number of outcomes

We are given that A fair,six sided dice is thrown once.

There are 6 possibilities and 3 is one of them so, probability of 3 is 1 out of 6,

The probability of a 3 showing on a six-sided dice is;

P(E)  = 1/6

Learn more about probability here;

https://brainly.com/question/9326835

#SPJ2

Answer:

c

Step-by-step explanation:

Answer:

There is no explanation so I guess 1 to 1?

Step-by-step explanation:

Answer:

Part A: A  

Part B: A

Step-by-step explanation:

1)

the inequality should be less than or equal to, since we need to find how many are left

now, the answer B is wrong, since there can't be negative 56, since Xander collected some cans, though he still must collect a few

thus, the answer is A

2)

A again is correct, since it represents:c ≤ 56

B represents c ≥ 56

C represents c ≤ –56

D represents c ≥ -56

Answer:

610 cm²

Step-by-step explanation:

This is an irregular figure. We can split it up by the triangle and the rectangle on the bottom.

To find the area of the triangle, we must determine the base length. As we can see, the bottom of the arrow has the measure 15 cm, and you can see that the missing section in the base of the triangle is the same measure. Now we find the measure of the base by adding 15 + 8 + 8, which equals 31 cm.

Now we multiply and divide by 2 to find the area of the triangle:

20*31 * 1/2

= 310 cm²

Now, we find the area of the rectangle. We can see that its dimensions are 15 by 20. We can plug these values into the rectangle formula:

A = 15*20

A = 300 cm²

Now we add these values to find the total area:

310 cm² + 300 cm²

= 610 cm²

Answer:

it is C. An = 2(2)^n

Step-by-step explanation:

Answer:it is C. An = 2(2)^n

Step-by-step explanation:

Answer:

1/4

Step-by-step explanation:

There are 4 equal sized sections, and 2 sections that are twice the size of the others ( 2*2=4), for a total of 8 sections

The section with a 6 in it is a double size section so it counts as 2 sections

P(6) =number of sections with a 6/ total sections

       =2/8

       =1/4

Answer:

1/4

Step-by-step explanation:

A

Answer:

x=3,y=-1 or (3,-1) The answer is D

Step-by-step explanation:

Answer:

x = 12

Step-by-step explanation:

If it is a perpendicular bisector, then the intercepting angles are always 90°.

If that is the case then we simply set the expression 7x + 6 equal to 90 and solve for x. We should get 12 as our answer.