The volume of a cone is cubic inches. Its height is 12 inches. What is the radius of the cone?

Answers

Answer 1

Answer: 4.22

Step-by-step explanation:


Related Questions

Use the graphing tool to see what happens to the polynomial function when you change more than one parameter at a
time. In what ways is this new graph different from the parent graph of f(x) = x ? Write down your observations for
each of these transformed functions. Then try a few of your own
· g(x) = (x - 2) + 1
· g(x) = 3x4 - 6
· g(x) = 2(x + 3)* + 10
· g(x) = { (6x - 1)

Answers

Answer:

The parent graph of (x-2)^4+1               shifts 2   units to the right and one unit up.

The parent graph of 3x^4-6            is stretched vertically by a factor of 3   and then shifted 6   units down.

The parent graph of 2(x+3)^4+10                 is shifted 3   units to the left, stretched vertically by a factor of 2   and shifted 10    units up.

The parent graph of 1/4(6x-1)^4                 is shifted one unit to the right, compressed horizontally by a factor of 1/6     , and compressed vertically by a factor of  1/4.

Step-by-step explanation:

Gabriel makes a model of a pyramid with the dimensions shown. A square pyramid. The square base has side lengths of 12 inches. The triangular sides have a height of 11 inches. Gabriel wants to paint the model. How much paint will he need? The area of the square base is in.2. The area of each triangular face is in.2. Gabriel will need in.2 of paint.

Answers

Answer:

Area of the square base: 144 in²

Area of each triangular face: 66 in²

Amount of paint needed: 408 in²

Step-by-step explanation:

We basically want to find the surface area of this square pyramid.

First, find the areas of the 4 triangular sides. The area of a triangle is denoted by: [tex]A=\frac{1}{2} bh[/tex], where b is the base and h is the height.

Here, the base coincides with the side length of the square, so b = 12. The height is 11, so h = 11. Plug these in:

[tex]A=\frac{1}{2} bh[/tex]

[tex]A=\frac{1}{2}[/tex] * 12 * 11 = 66 inches squared

Each triangular face is thus 66 inches squared.

Since there are 4 triangles, multiply 66 by 4: 66 * 4 = 264 inches squared

Now, find the area of the square base. The area of a square is: A = s * s, where s is the side length. Here, the side length is 12, so s = 12. Plug this into the equation:

A = s * s

A = 12 * 12 = 144

So, the square base is 144 inches squared.

Finally, add 144 to 264 to get the total area Gabriel needs to paint:

144 + 264 = 408 inches squared

Answer:

The area of the square base is 144 in²

The area of each triangular face is 66 in²

Gabriel will need 408 in² of paint.

Step-by-step explanation:

The area of the square base is:

12² = 144 in²

The area of each triangular face:

½(12×11) = 66 in²

Gabriel will need:

4(66) + 144 = 408 in²

Bus A and Bus B leave the bus depot at 8 am.
Bus A takes 25 minutes to do its route and bus B takes 35 minutes to complete its route.
At what time are they both back at the bus depot together?
Give your answer as a 12-hour clock time.

Answers

Answer: 10:55

Step-by-step explanation:

Taking statement at face value and the simplest scenario that commencing from 08:00am the buses take a route from depot that returns bus A to depot at 25min intervals while Bus B returns at 35min intervals.

The time the buses will be back at the depot simultaneously will be when:

N(a) * 25mins = N(b) * 35mins

Therefore, when N(b) * 35 is divisible by 25 where N(a) and N(b) are integers.

Multiples of 25 (Bus A) = 25, 50, 75, 100, 125, 150, 175, 200 etc

Multiples of 35 (Bus B) = 35, 70, 105, 140, 175, 210, 245 etc

This shows that after 7 circuits by BUS A and 5 circuits by Bus B, there will be an equal number which is 175 minutes.

So both buses are next at Depot together after 175minutes (2hr 55min) on the clock that is

at 08:00 + 2:55 = 10:55

troy can buy bottles of water in packages of 6 for 8.04 or in packages of 4 for 6.16. how much water does he save by buying 48 bottles of water at the better price

Answers

Answer: 4 Tons

Step-by-step explanation:

Simply just add and subtract

It takes one student 12 hours to wash all of the cars at a school car wash. If 8 students wash all the cars, how many hours will each person spend washing cars?

Answers

Answer:

Each person will wash all cars for 0.1875 hours

Step-by-step explanation:

One student takes time to wash all cars = 12

8 students take time to wash all cars = [tex]\frac{12}{8}= 1.5 hours[/tex]

So, 8 students together takes 1.5 hours to wash the car

Each person spent hours on washing all cars =[tex]\frac{1.5}{8}[/tex]

Each person spent hours on washing all cars =0.1875 hours

So, Each person will wash all cars for 0.1875 hours

students at springfield school can join either the orchestra or the marching band. students cannot join both groups. how many 7th graders are in the band?​

Answers

Answer:56 students

Step-by-step explanation:

So look 6th grade total 42 and 8th is 72 and the total is 170 but he want 7th grade total so what I did is 42+72=114

Then I did 170-114=56 so the total of 7th grade is 56.

The value of the variables x, y, and z will be 45, 24, and 56.

What is Algebra?

Algebra is the study of graphic formulas, while logic is the interpretation among those signs.

The students at spring field school can join either the orchestra or the marching band.

Let the missing value x, y, and z are given in the table.

The table is given below.

                           Orchestra         Band           Total

6th Grade                24                  18                 42

7th Grade                32                   x                   y

8th Grade                 z                   27                 72

Total                        101                 69                 170

Then the value of x, y, and z are calculated below.

For value of z, the equation will be

72 = z + 27

 z = 72 – 27

 z = 45

For value of x, the equation will be

18 + x + 27 = 69

      x + 45 = 69

              x = 69 – 45

              x = 24


For value of y, the equation will be

y = 32 + 24

y = 56

Then the value of the variables x, y, and z will be 45, 24, and 56.

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How to write 4 divisors of 240 that are multiples of tens

Answers

10, 20, 30 40, 60, 80, 120, 240
Final answer:

The divisors of 240 which are multiples of tens are 10, 20, 30, and 60.

Explanation:

To identify divisors of 240 that are multiples of tens, we must first understand what a divisor is. A divisor is a number that divides another number evenly. For example, in the case of 240, some notable divisors are 1, 2, 3, 4, 5, and so on. However, we are specifically looking for divisors that are themselves multiples of 10. These are numbers that end in zero and could be multiplied by some integer to get 240. In this instance, four such divisors are 10, 20, 30, and 60. For each of these examples, one can multiply these by a whole number to produce 240. For instance, 10*24 is 240, so is 20*12, 30*8, and 60*4.

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Is 3,4,5 a Pythagorean triple

Answers

Answer:

Yes  because  it fits the Pythagorean Theorem

Step-by-step explanation:

see:   5 ^2 = 25

and   3^2 + 4^2 =  9 + 16 = 25

25 = 25

so it is

n a recent survey, 18 people preferred milk, 29 people preferred coffee, and 13 people preferred juice as their primary drink for breakfast. If a person is selected at random, find the probability that the person preferred juice as his or her primary drink.

Answers

Answer:

[tex]\frac{13}{60}[/tex]

Step-by-step explanation:

18 people preferred MILK

29 preferred COFFEE

13 preferred JUICE

We want probability that a person preferred JUICE. For that, we need number of people who preferred juice and total number of people.

Lets find total:

18 + 29 + 13 = 60 total people

Total people who preferred JUICE is:

13

Probability (preferred JUICE) = 13/60

The answer is  [tex]\frac{13}{60}[/tex]

PLEASE ANSWER FAST!! (and correctly)

Answers

Answer:

1/10 or 10%

Step-by-step explanation:

Step 1:  Find the probability of selecting a card with an A

Picked amount / Total Times

3 / 30

1/10 or 0.1 or 10%

Answer: 1/10 or 10%

The number 31 is increased to 44. What is the percentage by which the number was increased, to the nearest tenth of a percent?

Answers

The number 31 was increased to 44 by approximately 41.9%.

To calculate the percentage increase, you can use the formula:

[tex]\[ \text{Percentage Increase} = \left( \frac{\text{New Value} - \text{Original Value}}{\text{Original Value}} \right) \times 100 \][/tex]

In this case, the original value is 31, and the new value is 44. Plug these values into the formula:

[tex]\[ \text{Percentage Increase} = \left( \frac{44 - 31}{31} \right) \times 100 \][/tex]

[tex]\[ \text{Percentage Increase} = \left( \frac{13}{31} \right) \times 100 \][/tex]

Now, calculate the percentage increase:

[tex]\[ \text{Percentage Increase} \approx 41.9\% \][/tex]

So, the number 31 was increased to 44 by approximately 41.9%.

The number 31 was increased by approximately [tex]\( \boed{41.9\%} \)[/tex] to become 44.

Step 1

To find the percentage increase from 31 to 44, we can use the formula for percentage increase:

[tex]\[ \text{Percentage Increase} = \left( \frac{\text{New Value} - \text{Old Value}}{\text{Old Value}} \right) \times 100\% \][/tex]

Step 2

Given:

- Old value (31)

- New value (44)

[tex]\[ \text{Percentage Increase} = \left( \frac{44 - 31}{31} \right) \times 100\% \]\[ \text{Percentage Increase} = \left( \frac{13}{31} \right) \times 100\% \]\[ \text{Percentage Increase} \approx 0.419 \times 100\% \]\[ \text{Percentage Increase} \approx 41.9\% \][/tex]

So, the number 31 was increased by approximately [tex]\( \boed{41.9\%} \)[/tex] to become 44.

In the game of​ roulette, a player can place a ​$4 bet on the number 23 and have a StartFraction 1 Over 38 EndFraction probability of winning. If the metal ball lands on 23​, the player gets to keep the ​$4 paid to play the game and the player is awarded an additional ​$140. ​ Otherwise, the player is awarded nothing and the casino takes the​ player's ​$4. What is the expected value of the game to the​ player? If you played the game 1000​ times, how much would you expect to​ lose?

Answers

Answer:

a.The expected value of the game to the player is -$0.2105

b. The player should expect to lose $210.50¢ if he/she places the bet or plays the game 1,000 times

Step-by-step explanation:

Please kindly check the attached files for explanation.

Rectangle A, B, C, D is graphed in the coordinate plane. The following are the vertices of the rectangle: A(2, 0), B(6, 0), C(6, 7), and D(2, 7)

Answers

The dimensions of the rectangle would be (6-2) x (7-0) = 4 x 7

That makes the area (4)(7) = 28.

That makes the perimeter (7+4)(2) = 22

That makes the diagonal sqrt((7^2)+(4^2)) = sqrt(49+16) = sqrt(65)

Who most often wins in a credit transaction?

Answers

companies often win in a credit transaction, due to their clients continually pay them for their usage.

Final answer:

The 'winner' in a credit transaction varies; it could be the lender earning interest or the borrower who benefits from immediate funds. Credit transactions do not create new money but reallocate it, and for personal debt management, debts with higher interest should be paid first.

Explanation:

In credit transactions, the winner is not easily defined as it depends on the perspective and the outcome of the transaction. If we consider a credit card transaction where a customer makes a purchase, the credit card issuer initially appears to win by providing funds to the customer and earning interest on the borrowed amount. The customer benefits by receiving the goods or services they need immediately, with the expectation of repaying the funds.

In a typical credit transaction, one party relinquishes money today while the other party promises to return a specified sum, possibly with interest, at a future date. This does not create new money but shifts existing money from one party to another. The perceived 'winner' could be the lender, who will receive the original amount plus interest, or the borrower, who gets immediate use of the funds.

When managing personal finances, it's advisable to pay off debts with the highest interest rates first, as suggested by the adage, "A penny saved is a penny earned".

what is the missing value for x-5y=-15

Answers

Answer:

y= 1/5 (fraction)

x=−3

Step-by-step explanation:

Let's solve for x.

x−5y=15

Step 1: Add 5y to both sides.

x−5y+5y=15+5y

x=5y+15

Let's solve for y.

x−5y=15

Step 1: Add -x to both sides.

x−5y+−x=15+−x

−5y=−x+15

Step 2: Divide both sides by -5.

−5y

−5

=

−x+15

−5

in the diagram, FG=34, GH=288, and HJ=256. Is GH tangent to circle F?

Answers

Answer:

No

Step-by-step explanation:

If GH is tangent to circle F, then it forms a right angle with FG.  Therefore, triangle FGH would be a right triangle and would satisfy Pythagorean theorem.

34² + 256² = 288²

66692 = 82944

The sides are not a Pythagorean triple, so GH is not tangent to the circle.

whats 15x times 14 y

Answers

Answer:

210xy

Step-by-step explanation:

15x * 14y can be written as 15 * x * 14 * y. Due to the commutative property of multiplication, we can change around the order of these numbers to make this expression easier to understand.

We're going to move the expression around so it is now 15 * 14 * x * y. Now, you can see clearly that you can multiply 15 and 14 together, which will get you 210.

And naturally what you have left is 210 * x * y, which simply appears as 210xy.

I hope this helped!

Which equation can be used to find the volume of this solid?
O V=2x4x5
O V=2+5+4
O V=2x5
OV=4x5

Answers

Answer:

V=2x4x5

Step-by-step explanation:

Volume of a solid can be obtained by multiplying lengths of all the three dimensions i.e. Length, width and height.

[tex]V = l \times b \times h \\ \therefore V = 2 \times 4 \times 5[/tex]

The Volume of Solid is, V=2x4x5.

What is Volume?

'Volume' is a mathematical quantity that shows the amount of three-dimensional space occupied by an object or a closed surface.

We know few formulas for Volume as

Volume of cuboid = l × w × h

Volume of cube = a³

Volume of Cylinder = πr²h

Volume of Prism= B × h

Volume of sphere = (4⁄3)πr³

Volume of Cone = (1⁄3)πr²h

From all the options given we have to find the relation with multiplication.

So, the volume of this solid is V=2x4x5 which is same as Volume of cuboid = l × w × h

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The parallelogram has vertices at (–2, 2), (4, 2), (1, –2), and (–5, –2).

Answers

Answer:

A) base = 6 units

B) height = 4 units

C) Area = 24 square units

Step-by-step explanation:

Base on the gragh given,

The base = |-5| + |1| = 6 unit

The height = |2| + |-2| = 4 unit

The area = base × height

The area = 6 × 4 = 24 square units.

Answer:

The parallelogram has vertices at (–2, 2), (4, 2), (1, –2), and (–5, –2).

Complete each sentence.

The base of the parallelogram is

✔ 6

units.

The height of the parallelogram is

✔ 4

units.

The area of the parallelogram is

✔ 24

square units.

Step-by-step explanation:

What does x equal???????

Answers

Answer:

-4x + 10x - 12 = -3x - 39

6x - 12 = -3x - 39

9x - 12 = -39

9x = -27

x = -3

Step-by-step explanation:

Find the volume of the sphere with a radius of 13 inches Round your answer to the nearest tenth

Answers

Answer:

V= 9202.77 in³

Step-by-step explanation:

What is the circumference of a circle with a diameter of 9 inches? (use 22/7 for pi)

Answers

Answer:

c=28.2857142857 inches

Step-by-step explanation:

The circumference of a circle can be found using:

[tex]c=\pi d[/tex]

We know the diameter is 9, and we are using 22/7 for [tex]\pi[/tex], so we can substitute them in

c=22/7*9

Multiply

c=28.2857142857

The circumference is 28.2857142857 inches

Help me please I need help

Answers

Answer:

Use the 45-45-90 rule.

Step-by-step explanation:

Based on angle A being 45 and angle B looking like its 90 degrees, angle C will be 45 degrees and so you'd use the 45-45-90 rule, which is a special right triangle. The 45 degrees sides are x and the hypotenuse is x[tex]\sqrt{2}[/tex]. It will be easier if you look it up to see a graphic of it, but I'm pretty sure that both sides CB and AB are 6 based on this rule.

The perimeter of a rectangle is 21 inches. What is the measure of its width if its length is 3 inches greater than its width?

Answers

Answer:

x = 3.75 inches

Step-by-step explanation:

We have,

Perimeter of a rectangle, P = 21 inches

Its length is 3 inches greater than its width. Let width is x. So, length of rectangle is l = 3+x

The perimeter of a rectangle is :

[tex]P=2(l+b)[/tex]

l is length and b is breadth

Here, l = 3+x, b = x

Perimeter :

[tex]P=2(3+x+x)\\\\21=2(3+2x)[/tex]

[tex]21=6+4x\\\\15=4x\\\\x=3.75\ \text{inches}[/tex]

So, the width is 3.75 inches.

Final answer:

To find the width of the rectangle, create an equation using the perimeter formula P = 2l + 2w. By substituting the known perimeter and the relationship between length and width, solve for w, resulting in a width of 3.75 inches.

Explanation:

The student is tasked with finding the width of a rectangle when the perimeter is known to be 21 inches and the length is 3 inches greater than the width. To solve this, we set up an equation representing the perimeter of a rectangle: P = 2l + 2w, where P is the perimeter, l is the length, and w is the width.

Let w represent the width of the rectangle. The length is then w + 3 inches. Substituting these values into the perimeter formula, we get: 21 = 2(w + 3) + 2w. Simplifying this, we get 21 = 2w + 6 + 2w or 21 = 4w + 6. Solving for w, we subtract 6 from both sides to get 15 = 4w, and then divide both sides by 4 to get w = 3.75 inches. This means the width of the rectangle is 3.75 inches.

What is the answer for 4x + 2y = 12

Answers

Answer:

(1,4), (2,2) (3,0)

Step-by-step explanation:

adjust the equation so that the y is isolated so subtract 4 x

2y=4x +12

Every number is divisible by 2 so you can further isolate the y

y=-2x+6

Plug your x coordinates into the equation so get the y coordinates

Answer:

y=-2x+6

Step-by-step explanation:

You want to to turn the given equation 4x+2y=12 into y=mx+b

** m is the slope and b is the y-intercept

The first step is to isolate y. First subtract 4x from both sides:

4x+2y=12

2y=-4x+12

Now you have y mostly isolated, all you have to do is divide both sides by 2:

2y=-4x+12

y=-4/2x +12/2

y=-2x +6

Now you have your equation, plug in values for x to find y to fill in the table:

ex: y=-2(2)+6

y= -4+6

y= 2

** an order pair ex.: (2,2)

The average cost of tuition, room and board at small private liberal arts colleges is reported to be $8,500 per term with a standard deviation of $1,200, but a financial administrator believes that the average cost is MORE. A study conducted using 350 small liberal arts colleges showed that the average cost per term is $8,745. Let alpha = 0.05. What is the critical z-value for this test?

Answers

Answer:

z=3.8196

Step-by-step explanation:

-We notice that this is a normal distribution problem.

-Given the mean is $8500, standard deviation is $1200 , and n=350, the critical z-value using alpha=0.05 is calculated as:

[tex]z=\frac{x-\mu_o}{\sigma/\sqrt{n}}\\\\=\frac{8745-8500}{1200\sqrt{350}}\\\\\\=3.8196[/tex]

Hence, the test statitic is z=3.8196

2. A football coach recorded his team’s game scores over a football season. The scores are 21, 45, 21, 14, 21, 28, 24, 14, 24, 28.

(a) Find the mean absolute deviation of the data. Round to the nearest tenth.

(b) Interpret the mean absolute deviation of the data within the context of the problem.

(c) Explain how removing the outlier, 45, affects the mean absolute deviation.

Answers

Answer:

(a) The mean is 24

The Absolute deviation is 8.367

(b) Mean is the number of score per game

(b)  The standard  deviation is the normal expected score difference from the mean

(c) Mean reduce

Standard deviation reduce

Step-by-step explanation:

The data is as follows;

21, 45, 21, 14, 21, 28, 24, 14, 24, 28

The  data with n = 10 is presented as follows

x             (x - μ)       (x - μ)²

21      -3         9

45         21         441

21            -3         9

14        -10        100

21         -3            9

28           4        16

24         0       0

14        -10        100

24         0            0

28     4       16

∑x/n =240  ∑(x - μ)²  =  700

24     ∑(x - μ)²/n = σ² = 70

The mean = 24

The Absolute deviation √70 = 8.367

(b) The mean indicates that within the football season, the average game score per game was 24 and the normal variation from the average was 8.367

(c) Removing the outlier, 45 which ls most equal to two means will reduce the mean or average score per game of the team  to as follows

21 ,  21 , 14,  21,  28,  24,  14,  24,  28

∑x = 195 and μ = (∑x)/n = 195/9 = 21.67

The standard deviation = 4.83

Therefore, removing the outlier 45 which is almost double the mean will reduce the mean by almost μ/n and the standard deviation is also reduced.

An advertisement about the paint that you want to use reads: “Just 2 quarts covers 175 square feet!” If you need to apply two coats of paint on all the walls, how many quarts of paint do you need to buy?

Answers

Final answer:

To apply two coats of paint on all the walls, you will need to buy 4 quarts of paint.

Explanation:

To find out how many quarts of paint you need to buy to apply two coats of paint on all the walls, we need to calculate the total area that needs to be painted.

If 2 quarts cover 175 square feet, then 1 quart covers 175/2 = 87.5 square feet.

Since you need to apply two coats of paint, the total area that needs to be painted is 175 square feet x 2 = 350 square feet.

To find out how many quarts you need, divide the total area by the area covered by 1 quart: 350 square feet / 87.5 square feet/quart = 4 quarts.

You will need to buy 4 quarts of paint to complete the job.

6r + 7 = 13 + 7r with through explanation

Answers

Answer:

Step-by-step explanation:

Answer:

r= -6

Step-by-step explanation:

Here's why:

6 r = 6 + 7r

Subtract 7r from each side:

-r = 6

Divide by each side -1 to get the answer of:

r=-6

It rained 0.61 inches every day for 12 days straight. How many inches did it rain altogether during the 12 days?

Answers

Answer: 7.32 inches

Step-by-step explanation: We can set up an equation to solve: y = 0.61x where y is the total amount of rain in inches and x is how many days it rained.

Multiply 0.61 by 12 to get how many inches total it rained: y = 0.61(12)

y = 7.32 inches

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(Use 3.14 for Pi and round to the nearest tenth.)38.5 centimeters squared44.0 centimeters squared150.0 centimeters squared153.9 centimeters squared True or FalseThe following sentence has proper subject verb agreement:One of the dogs, including the new puppy, is eating right now. 86.1 g of nitrogen reacts with lithium, how many grams of lithium will react? Leah has a 22 ounce coffee. she drinks 7 ounces. enter the percentage of ounces Leah has left of her coffee. round your answer to the nearest hundredth. Suppose that a market research firm is hired to estimate the percent of adults living in a large city who have cell phones. 500 randomly selected adult residents in this city are surveyed to determine whether they have cell phones. Of the 500 people surveyed, 421 responded yes they own cell phones. Using a 95% confidence level, compute a confidence interval estimate for the true proportion of adults residents of this city who have cell phones. Water-soluble vitamins dissolve in water, and excess intake is generally excreted. Fortification of foods in the United States has reduced the incidence of deficiencies for many of these vitamins, but inadequate intake is still possible. Toxicity is less likely since these vitamins are not stored in the body, but excessive intake can still cause undesirable symptoms in some cases.Fill in the blanks with appropriate options.1. --------------------------: A deficiency of this vitamin causes beriberi, which is characterized by weakness, swelling, and tingling or numbness in the hands and feet.2. ------------------------------------ : A severe deficiency of this vitamin causes the disease pellagra.3.------------------------------ : A deficiency of this vitamin is very rare, but those with inadequate intakes can experience numbness, muscle cramps, and difficulty walking.4. ----------------------: A deficiency of this vitamin can lead to sore tongue, skin inflammation, depression, confusion, or anemia.5. -------------------------------: Neural tube defects, like spina bifata, can occur if this nutrient is not consumed in adequate amounts during pregnancy.6. ------------------- : Those who follow a vegan diet without supplementation are at increased risk of deficiency for this vitamin.7. --------------------------- : Scurvy symptoms, caused by a deficiency of this nutrient, include rough skin rash and wounds that will not heal.Options:a. vitamin B6b. vitamin B12c. niacind. folatee. thiaminf. vitamin Ce. pantothenic acid What do arrows in a food chain and food web represent? Place the following in chronological order.AnswerDropping of atomic bombs on JapanWorld War I beginsOil and Steel Embargos on JapanZimmerman TelegraphWorld War II begins Based on past experience, a bank believes that 4% of the people who receive loans will not make payments on time. The bank has recently approved 300 loans. What is the mean of the sampling distribution of the proportion of clients in this group who may not make timely payments Kendra often has her hair in her hands and pulls at it. When she is nervous, she tends to pull some of it out, which helps her feel better. Most of the time she does not even realize she is doing this. Which diagnosis would Kendra likely receive?True / False. A chef combines 5 quarts of pineapple juice, 4 pints of milk, and 4 cups of apple juice to make smoothies. How many cups can be filled with smoothies? Explain. 1. Which of these terms means scratches in rocks caused by glaciers?2 pointsA. StriationsOB. StripesOC. StratosphereOD. Stretch marks Now that the classList Array has been implemented, we need to create methods to access the list items.Create the following static methods for the Student class: 1. getLastStudent() - returns the name of the last student inthe classList array 2. getClass Size() - returns the size of the classList 3. addStudent(int index, Student student) - adds a new student tothe classList at index index. This method is a little tricky - when thenew Student is added to the class, it will create a duplicate value at theend of the classList because of our student constructor. This methodshould also include a command to remove the extra student inthe classList added to the end.4. getStudent(int index) - returns the name of a student at the indexspecified A car leaves Albany, NY, and travels west toward Buffalo, NY. The equation D =280-59t can be used to represent the distance, D, from Buffalo after t hours. In this equation, the 59 represents the? The United States has a democratic government and protects the freedoms of its citizens. Which important U.S. document protects freedoms including the freedom of speech? A. Articles of Confederation B. Civil Rights Act of 1964 C. Bill of Rights D. Declaration of Independence The speaker in Harlem" thinks about: