Find the 2nd term in the sequence. Will give Brainliest.

Find The 2nd Term In The Sequence. Will Give Brainliest.

Answers

Answer 1

Answer:

17

Step-by-step explanation:

b(1) = 16

b(2) = b(2-1) +1

      = b(1) +1

     = 16+1

    = 17


Related Questions

Please answer it now

Answers

━━━━━━━☆☆━━━━━━━

▹ Answer

435.20 square cm

▹ Step-by-Step Explanation

Diameter = 12

Radius = 1/2d

Radius = 1/2 * 12

Radius = 6

A = πr(r +√h² + r²) =

A = π · 6·(6 + √16²+6²)

≈ 435.19869 → 435.20 square cm

Hope this helps!

CloutAnswers ❁

━━━━━━━☆☆━━━━━━━

The Nguyen family and the Reed family each used their sprinklers last summer. The Nguyen family's sprinkler was used for 15 hours. The Reed family's sprinkler was used for 25 hours. There was a combined total output of 1175L of water. What was the water output rate for each sprinkler if the sum of the two rates was 55L per hour? Nguyenfamily'ssprinkler:Lperhour Reedfamily'ssprinkler:Lperhour

Answers

Answer:

Nguyen family's sprinkler: 20 L per hour Reed family's sprinkler: 35 L per hour

Step-by-step explanation:

Let n and r represent the output in liters per hour of the Nguyen and Reed family sprinklers, respectively. Then we have ...

  15n +25r = 1175 . . . . total sprinkler output

  n + r = 55 . . . . . . . . . sum of two output rates

The second equation tells us we can substitute n = 55 -r into the first equation:

  15(55 -r) +25r = 1175

  10r = 1175 -825 . . . . . . subtract 825

  r = 350/10 = 35 . . . . . . divide by 10

  n - 55 -35 = 20 . . . . . . find n from r

Nguyen family's sprinkler: 20 L per hour

Reed family's sprinkler: 35 L per hour

can someone please please help me :/ I have to get this right. please help​

Answers

Answer: Choice B. f(x) = 100 - 68x

Work Shown:

Solve for y. Then replace y with f(x).

[tex]680x + 10y - 1000 = 0\\\\10y - 1000 = -680x\\\\10y = -680x + 1000\\\\y = \frac{-680x + 1000}{10}\\\\y = \frac{-680x}{10} + \frac{1000}{10}\\\\y = -68x + 100\\\\y = 100 - 68x\\\\f(x) = 100 - 68x\\\\[/tex]

Effectively this involves adding 1000 to both sides and subtracting 680x from both sides, afterward we divide both sides by 10 to isolate y.

Answer:

choice B

Step-by-step explanation:

I did this problem like 6 months ago......

Esmereldas family went out to dinner paying 20% tip at the end of the meal. Their credit card was charged $51.00. What was the amount on the bill without the tip

Answers

Answer:

42.50

Step-by-step explanation:

bill + tip = total bill

The tip is based on the bill

tip = bill * 20%

tip = bill * .20

Replace in the original equation

bill + .20 bill = total bill

Combine like terms

1.20 bill = total bill

The total bill was 51 dollars

1.20 bill = 51

Divide each side by 1.20

1.20 bill / 1.2 = 51/ 1.2

bill =42.50

Answer:

$42.50

Step-by-step explanation:

If the total was $51 with the tip, and you know the tip was 20%, you can set up an equation and solve:

0.2x+x=51

1.2x=51

x=42.5

Therefore, the bill (w/o tip) was $42.50

p.s.Please give me brainliest. Thank you! :)

a diagonal of rectangle forms a 30 degree angle with each of the longer sides of the rectangle. if the length of the shorter side is 3, what is the length of the diagonal

Answers

Answer:

Length of diagonal = 6

Step-by-step explanation:

Given that

Diagonal of a rectangle makes an angle of [tex]30^\circ[/tex] with the longer side.

Kindly refer to the attached diagram of the rectangle ABCD such that diagonal BD makes angles of [tex]30^\circ[/tex] with the longer side CD and BA.

[tex]\angle CDB =\angle DBA =30^\circ[/tex]

Side AD = BC = 3 units

To find:

Length of diagonal BD = ?

Solution:

We can use the trigonometric ratio to find the diagonal in the [tex]\triangle BCD[/tex] because [tex]\angle C =90^\circ[/tex]

Using the sine :

[tex]sin\theta = \dfrac{Perpendicular }{Hypotenuse }[/tex]

[tex]sin\angle CDB = \dfrac{BC}{BD}\\\Rightarrow sin30^\circ = \dfrac{3}{BD}\\\Rightarrow \dfrac{1}2 = \dfrac{3}{BD}\\\Rightarrow BD =2 \times 3 \\\Rightarrow BD = \bold{6 }[/tex]

So, the answer is:

Length of diagonal = 6

The following shape is based only on squares, semicircles, and quarter circles. Find the area of the shaded part.

Answers

Answer:

The area of the shaded part is 36.53 cm²

Step-by-step explanation:

The dimension of the side of the square ABCD = 8 cm

The shaded part is seen to be the area of intersection of two quarter circles

The dimension of the radius of the quarter circles = The side length of the square

Therefore;

The dimension of the radius of the quarter circles = 8 cm

The figure can be taken as being formed by the two quarter circles with a square removed

The shaded area is the

Therefore, the area of the shaded part Sₐ, is given by the relation;

Sₐ = Area of first quarter circle + Area of second quarter circle - Area of the square

Given that the dimensions (radius) of the two quarter circles are the same, we have;

Area of first quarter circle = Area of second quarter circle = (π × 8²)/4 cm²

Area of the square = (Side length of the square)² = 8² = 64 cm²

Sₐ =  (π × 8^2)/4 + (π × 8^2)/4 - 64 = 36.53 cm²

The area of the shaded part = 36.53 cm².

Find the area of each polygon

Answers

Answer:

1. 66 ft²

2. 102 cm²

3. 35 in.²

4. 7.36 in.²

5. 60 in.²

6. 91 m²

7. 48 m²

5. 567 mm²

9. 255 m²

10. The side length of the square is 9 cm

The area of the square is 81 cm²

Step-by-step explanation:

1. The area of the parallelogram = 11 × 6 = 66 ft²

2. The area of the triangle = 1/2×12×17 = 102 cm²

3. The area of the trapezium = 1/2×(5 + 9)×5 = 35 in.²

4. The area of the triangle = 1/2×4.6×3.2 = 7.36 in.²

5. The area of the parallelogram = 10 × 6 = 60 in.²

6. The area of the trapezium = 1/2×(15 + 11)×7 = 91 m²

7. The area of the parallelogram = 8 × 6 = 48 m²

5. The area of the trapezium = 1/2×(27 + 36)×18 = 567 mm²

9. The height of the wall = 17 m - 8 m = 15 m

The area = 17 × 15 = 255 m²

10. The dimensions of a square with perimeter = 36 cm are;

Side length = 36/4 = 9 cm

The area of the square = 9 × 9 = 81 cm².

Candy is on sale for $0.75 each. You have a coupon for $0.25 off your total purchase. Write a function rule for the cost of n pieces of candy

Answers

Answer:

t = 0.75n - 0.25

t represents your total

Step-by-step explanation:

So lets start by writing our total variable.

t =

Now each candy is 0.75 so lets write that down too.

t = 0.75

Since we don't know how much candy we buy, lets multiply 0.75 by n.

t = 0.75n

Now we have a $0.25 coupon so now subtract the 0.25 from the cost.

t = 0.75n - 0.25

There you go.

CAN SOMEONE HELP ME ASAP? The density of a certain material is such that it weighs 7 ounces for every 2.5 gallons of volume. Express this density in tons per cubic meter. Round your answer to the nearest hundredth.

Answers

Answer: Density = 0.23 tons per cubic meter.

Step-by-step explanation:

Formula : [tex]Density=\dfrac{Mass(in \ ton)}{Volume (in\ m^3)}[/tex]

1 ton = 32000 ounces

⇒ 1 ounce = 0.00003125 ton

⇒  7 ounces = 7(0.00003125)=  0.00021875 ton

1 gallon = 0.00378541 cubic meter

2.5 gallons = 0.009475 cubic meter

Density= [tex]\dfrac{0.00021875}{0.009475}\text{ tons per cubic meter}[/tex]

[tex]\dfrac{21875}{94750}\text{ tons per cubic meter}\approx0.23\text{ tons per cubic meter}[/tex]

Hence, Density = 0.23 tons per cubic meter.

Answer:

0.02 tons per cubic meter

Step-by-step explanation:

One angle of a triangle has a measure of 66 degrees. The measure of the third angle is 57 degrees more than 1/2 the measure of the second angle. The sum of the angle measures of a triangle is 180 degrees. What is the Measure of the second angle? What is the measure of the third angle?

Answers

Answer:

76 degrees

Step-by-step explanation:

Let the angles be x, y and z

As per given:

x= 66z = 57 + 1/2yx+y+z = 180

Considering the first 2 equations in the third one:

66 + y + 57 + 1/2y = 1801.5y = 180 - (66+57)1.5y = 57y = 57/1.5y = 38

So the third angle is:

z = 57 + 38/2 = 76 degrees

Find the length of LM if L is the midpoint of NM. NL = 3x + 1, LM = 8x - 24.

Answers

Answer:

LM = 16

Step-by-step explanation:

From the question given:

L is the midpoint of NM

NL = 3x + 1

LM = 8x - 24

LM =?

Next, we shall determine the value of x.

This can be obtained as follow:

Since L is the midpoint of NM, it means that NL and LM are equal i.e

NL = LM

Thus, we can obtain the value of x as follow:

NL = 3x + 1

LM = 8x - 24

NL = LM

3x + 1 = 8x - 24

Collect like terms

3x - 8x = - 24 - 1

-5x = - 25

Divide both side by - 5

x = -25/-5

x = 5

Finally, we shall determine the length of LM as follow:

LM = 8x - 24

x = 5

LM = 8(5) - 24

LM = 40 - 24

LM = 16

Therefore, the length of LM is 16

Mr. Lee is 32 years older than his son. Five years later, Mr. Lee’s age will be 5 times that of his son. How old is Mr. Lee now?

Answers

Answer: mr lee is 37 year .

Step-by-step explanation:32+5=37

Answer:

Mr. lee is 35 yrs old right now. his son 3

Step-by-step explanation:

after 5 yrs, his son will be 8 and lee 40, 8×5=40

WILL MARK BRAINLIEST Decide whether the triangles are similar. If so, determine the appropriate expression to solve for x.

Answers

Answer:

third option

Step-by-step explanation:

∠ E = 180° - (65 + 53)° = 180° - 118° = 62°, then

∠ A = ∠ F = 53° and ∠ C = ∠ E = 62° , thus

Δ ABC ~ Δ FDE by the AA postulate

Since the triangles are similar then the ratios of corresponding sides are equal, that is

[tex]\frac{BC}{DE}[/tex] = [tex]\frac{AB}{FD}[/tex] , substitute values

[tex]\frac{x}{z}[/tex] = [tex]\frac{w}{r}[/tex] ( multiply both sides by z )

x = z × [tex]\frac{w}{r}[/tex]

The expression to solve for x would be x = r × w/z Therefore, the correct option is 3.

What is the congruent triangle?

Two triangles are said to be congruent if the length of the sides is equal, a measure of the angles are equal and they can be superimposed.

Since,

∠ E = 180° - (65 + 53)°

= 180° - 118° = 62°,

then

∠ A = ∠ F = 53° and ∠ C = ∠ E = 62° ,

Thus, Δ ABC ~ Δ FDE are congruent by the AA postulate.

Since the triangles are similar then the ratios of corresponding sides are equal so,

BC / DF = AB / ED

Substitute;

x / r = w/ z ( multiply both sides by z )

x = r × w/z

Therefore, the correct option is 3.

Learn more about congruent triangles;

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What are the opposites of 3,7,5, and -2 2

Answers

Answer:

-3, -7, -5, 2, and -2

Step-by-step explanation:

When you are looking for opposites just think about a number line.

You are on the positive side

What is the opposite of a positive... negative

The same for the other way around

What is the opposite of a negative... positive

Answer:

Step-by-step explanation: The opposites are what you would imagine them to be, positive and negative.

the answer is -3, -7, -5 and 22

Examine the table of input (x) and output (y) values below. What is the relationship between the input and output values? Write an equation for this relationship. input (x) –1 0 1 2 3 4 5 output (y) –4 –1 2 5 8 11 14 What do you notice about the relationship between the x and y values?

Answers

Answer:

Relationship: As the input increases by 1, the output increases by 3.

Equation: y=3x-1

~Hope this helps~

Use the formula for the volume of a cylinder to find the volume of a water tank (in ft with a radius of 15 feet and a height of 35 feet. Round to two decimal places.

Answers

Answer:

24,740.04 ft³

Step-by-step explanation:

Use the cylinder volume formula, V = [tex]\pi[/tex]r²h, where r is the radius and h is the height.

Plug in the values and solve for V:

V = [tex]\pi[/tex](15²)(35)

V = 24740.04215

Round:

V = 24,740.04 ft³

The volume of a water tank will be; 24,740.04 ft³.

What is the volume of a cylinder?

The volume of the cylinder is the product of the height, pie, and square of the radius.

The volume of the cylinder =  πr²h

where r is the radius and h is the height.

We have been given a cylinder that has a radius of 15 feet and a height of 35 feet.

We need to find the volume of a water tank.

Now Plug in the values and solve for V:

V = π(15²)(35)

V = 24740.04215

Round: V = 24,740.04 ft³

Hence, the volume of a water tank will be; 24,740.04 ft³.

Learn more about volume;

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HELP ASAP
The points $(-3,2)$ and $(-2,3)$ lie on a circle whose center is on the $x$-axis. What is the radius of the circle?

Answers

Answer:

[tex]radius = \sqrt{13}[/tex] or [tex]radius = 3.61[/tex]

Step-by-step explanation:

Given

Points:

A(-3,2) and B(-2,3)

Required

Determine the radius of the circle

First, we have to determine the center of the circle;

Since the circle has its center on the x axis; the coordinates of the center is;

[tex]Center = (x,0)[/tex]

Next is to determine the value of x through the formula of radius;

[tex]radius = \sqrt{(x_1 - x)^2 + (y_1 - y)^2} = \sqrt{(x_2 - x)^2 + (y_2 - y)^2}[/tex]

Considering the given points

[tex]A(x_1,y_1) = A(-3,2)[/tex]

[tex]B(x_2,y_2) = B(-2,3)[/tex]

[tex]Center(x,y) =Center (x,0)[/tex]

Substitute values for [tex]x,y,x_1,y_1,x_2,y_2[/tex] in the above formula

We have:

[tex]\sqrt{(-3 - x)^2 + (2 - 0)^2} = \sqrt{(-2 - x)^2 + (3 - 0)^2}[/tex]

Evaluate the brackets

[tex]\sqrt{(-(3 + x))^2 + 2^2} = \sqrt{(-(2 + x))^2 + 3 ^2}[/tex]

[tex]\sqrt{(-(3 + x))^2 + 4} = \sqrt{(-(2 + x))^2 + 9}[/tex]

Eva;uate all squares

[tex]\sqrt{(-(3 + x))(-(3 + x)) + 4} = \sqrt{(-(2 + x))(-(2 + x)) + 9}[/tex]

[tex]\sqrt{(3 + x)(3 + x) + 4} = \sqrt{(2 + x)(2 + x) + 9}[/tex]

Take square of both sides

[tex](3 + x)(3 + x) + 4 = (2 + x)(2 + x) + 9[/tex]

Evaluate the brackets

[tex]3(3 + x) +x(3 + x) + 4 = 2(2 + x) +x(2 + x) + 9[/tex]

[tex]9 + 3x +3x + x^2 + 4 = 4 + 2x +2x + x^2 + 9[/tex]

[tex]9 + 6x + x^2 + 4 = 4 + 4x + x^2 + 9[/tex]

Collect Like Terms

[tex]6x -4x + x^2 -x^2 = 4 -4 + 9 - 9[/tex]

[tex]2x = 0[/tex]

Divide both sides by 2

[tex]x = 0[/tex]

This implies the the center of the circle is

[tex]Center = (x,0)[/tex]

Substitute 0 for x

[tex]Center = (0,0)[/tex]

Substitute 0 for x and y in any of the radius formula

[tex]radius = \sqrt{(x_1 - 0)^2 + (y_1 - 0)^2}[/tex]

[tex]radius = \sqrt{(x_1)^2 + (y_1)^2}[/tex]

Considering that we used x1 and y1;

In this case we have that; [tex]A(x_1,y_1) = A(-3,2)[/tex]

Substitute -3 for x1 and 2 for y1

[tex]radius = \sqrt{(-3)^2 + (2)^2}[/tex]

[tex]radius = \sqrt{13}[/tex]

[tex]radius = 3.61[/tex] ---Approximated

Which of the following expressions represents the distance between -3.9, and -4.7?

Answers

Answer:

[tex]d = \sqrt{(x2 - x1) {}^{2} + (y2 - y1) {}^{2} }[/tex]

Step-by-step explanation:

[tex]d = \sqrt{( - 4 + 3) {}^{2} + (7 - 9) {}^{2} } [/tex]

[tex]d = \sqrt{(1 + 4)} = \sqrt{5} [/tex]

please help, not so good with this subject

Answers

Answer:

I believe the answer is d

Step-by-step explanation:

A rational number is a number that can be written as a ratio. That means it can be written as a fraction, in which both the numerator (the number on top) and the denominator (the number on the bottom) are whole numbers.

In this case, since [tex]\sqrt{81}[/tex] can be simplified to 9 and 9 can be written as a fraction (9/1) it is a rational number.

Pranav and Trevon each improved their yards by planting daylilies and ornamental grass. They bought their supplies from the same store. Pranav spent $74 on 1 daylily and 9 bunches of
ornamental grass. Trevon spent $114 on 1 daylily and 14 bunches of ornamental grass. What is the cost of one daylily and the cost of one bunch of ornamental grass?

Answers

Answer:

Day lilies and ornamental grass are $2, $8 respectively

Step-by-step explanation:

step one

we need to represent the scenario with a system of equation

let day lilies be represented with x

and ornamental grass be y

Hence we have

[tex]x+9y= 74--------1\\x+14y= 114------2[/tex]

Let us subtract 1 from 2 we have

[tex]x+14y= 114------2\\\\\\ -(x+9y= 74--------1\\=0+5y= 40[/tex]

Dividing both sides by 5 we have

y= 40/5

y= 8

step 2

Substitute y = 8 in equation 1 we have

x+9(8)= 74

x+72= 74

x=74-72

x= 2

Day lilies and ornamental grass are $2, $8 respectively

Type the correct answer in the box. Simplify this expression: 4(1 – 3x) + 7x – 8.

Answers

Answer:

-4 -5x

Step-by-step explanation:

4(1 – 3x) + 7x – 8.

Distribute

4 -12x +7x -8

Combine like terms

-4 -5x

Answer:

The simplified answer of this expression is -5x - 4

Step-by-step explanation:

4(1 - 3x) + 7x - 8

Distribute 4 to (1 - 3x)

4 - 12x + 7x - 8

Rearrange the terms so it'll be easier to combine them.

4 - 8 - 12x + 7x

Combine like terms.

-4 - 5x

Put the equation in standard form.

-5x - 4


list the next three terms in the following sequence
1,2,4,7, 11, 16​

Answers

Answer:

22, 29, 37

Step-by-step explanation:

There is a pattern to find the next number in the sequence. The sequence is taking the previous number and adding the number it is in the sequence.

Notice how the first number being added is the number of the previous sum and the second number being added is always increasing by one

1+0=1

1+1=2

2+2=4

4+3=7

7+4=11

11+5=16

16+6=22

22+7=29

29+8=37

22, 29, 37

shannon is paid £1150 a month after deductions.what is her net annual salary?(a year=12 months )

Answers

Answer:

£13800

Step-by-step explanation:

1150*12=£13800

If the length of a room is 18 feet, how long should it be on a scale drawing
where 1 in. = 2 ft.?

Answers

Answer:

9 in.

Step-by-step explanation:

Proportions:

1 in ⇔ 2 ft

R in ⇔ 18

R = 18*1/2

R = 9 in

9 in
18/2 = 9
So fit to scale is 9 inches

Find the values of the apple, banana and lollypop below.

Pls help

Answers

Answer:

a= Apple = 3

b= Banana =5

v= Lollypop=1

Step-by-step explanation:

36 is divided into 2 giving us 18

Let apple=a

Banana=b

Lollypop=c

In the first half

An apple + 3 bananas=18

a+3b=18 (1)

Second half is further divided into 2

That is,

18÷2=9

First half of the second half

3apples=9

3a=9 (2)

Second half of the second half

1 apple + 1 banana + 1 lollypop=9

a+b+c=9 (3)

a+3b=18 (1)

3a=9 (2)

a+b+c=9 (3)

From (2)

3a=9

Divide both sides by 3

a=9/3

a=3

Substitute a=3 into 1

a+3b=18

3+3b=18

3b=18-3

3b=15

Divide both sides by 3

b=15/3

=5

b=5

Substitute the value of a and b into (3)

a+b+c=9

3+5+c=9

8+c=9

c=9-8

c=1

Therefore,

a= Apple = 3

b= Banana =5

v= Lollypop=1

The graph of f(x)=sin(x) is transformed into a new function, g(x) , by stretching it vertically by a factor of 4 and shifting it 3 units down. What is the equation of the new function g(x) ?

Answers

Answer:

f(x) = 4sin(x) - 3

Step-by-step explanation:

Just need help
the equations are above​

Answers

Answer:

6×4p=24p

15a÷3=5a

3t×8y=24ty

24ef÷12e=2f

-4fx-5px-3 =-x(4f+5p)-3

-9abc÷3a=-3bc

Round 2.1 to the nearest whole number.

Answers

When you round 2.1 to the nearest whole number, the answer will be 2.

Answer:

2 is the answer

Step-by-step explanation:

to round 2.1 to the nearest whole number consider the tents value of 2.1 which is 1 end less than five therefore we have to round down the ones place value of 2.1 . 2 remains 2 and the decimal point is removed.

2.1 to the nearest whole number is 2

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Christine went shopping and bought each of her ten nephews a gift, either a video costing $14.95 or a CD costing $16.88. She spent $164.94 on the
gifts. How many videos and how many CDs did she buy

Answers

Answer:

She bought 2 videos and 8 CDs.

Becky's ship is 43 miles west all the harbor.
Clyde's yacht is a5 miles north from Beery. How
far is Clyde from the Harbor? Show your work.
С
x= Harbor
25
B.
43

Answers

Answer:

Clyde is 49.74 away from the harbor

Step-by-step explanation:

Here in this question, we are interested in knowing the distance of Clyde from the harbor.

The key to answering this question is having a correct diagrammatic representation. Please check attachment for this.

We can see we have the formation of a right angled triangle with the distance between Clyde’s ship and the harbor the hypotenuse.

To calculate the distance between the two, we shall employ the use of Pythagoras’ theorem which states that the square of the hypotenuse is equal the sum of the squares of the two other sides.

Let’s call the distance we want to calculate h.

Mathematically;

h^2 = 25^2 + 43^2

h^2 = 625 + 1849

h^2 = 2474

h = √2474

h = 49.74 miles

Other Questions
Drag the tiles to the correct boxes.to.complete the.pairs, Match the images with the stages of a mosquito's life cycle The difference between total sales revenue and total cost of goods sold is the: A. Trade margin B. Gross marketing contribution C. Net marketing contribution D. All of the above Read the excerpt from Iqbal. My first impression was that he was handsome. Then I thought, No, he isn't really good-looking. But he had such eyes. They were sweet and deep and they weren't afraid. He was standing at the threshold of the workroom with Hussain Khan's enormous hand gripping his arm and we were all looking at him. The fourteen of us child-slaves plus Karim, all observing another slave. He was one of the many who had come and gone over the years, but we felt that somehow, this new boy was different. He looked around at us, one by one. He was sad, of course, like anyone who has been away from home for a long time, like anyone who is little more than a slave, like anyone who can't imagine what will become of him. But I'm telling you this: He wasn't afraid. Why did the author choose to provide this fictional account of Iqbal Masih, who was a real person Find the area of the shaded regions: 1 - Os coeficientes numricos de uma equao do 2 grau (ax + bx + c = 0), so nmeros reais representados pelas letras a, b e c. Para que uma equao do 2 grau possa existir, necessrio que o coeficiente a seja DIFERENTE de: * 1 ponto a) -2 b) -1 c) 0 d) 1 2) Usando o mtodo de Tentativa e Erro, visto na aula, qual das alternativas abaixo representa uma raiz da equao: x-5x+6=0 * 1 ponto a) x = 0 b) x = 1 c) x = 2 c) x = -2 What are the 5 important milestones of the Neolithic Revolution? Longman Company manufactures shirts. During June, Longman made 1,900 shirts but had budgeted production at 2,150 shirts. Longman gathered the following additional data:Variable overhead cost standard $0.80 per DLHrDirect labor efficiency standard 4.50 DLHr per shirtActual amount of direct labor hours 8,620 DLHrActual cost of variable overhead $10,344 Fixed overhead cost standard $0.10 per DLHrBudgeted fixed overhead $968 Actual cost of fixed overhead $1,033 Required:a. Calculate the variable overhead cost variance.b. Calculate the variable overhead efficiency variance.c. Calculate the total variable overhead variance.d. Calculate the fixed overhead cost variance.e. Calculate the fixed overhead volume variance Which function will add a grade to a student's list of grades in Python? add() append() print() sort() Design a nonlinear system that has at least two solutions. One solution must be the ordered pair: (-2, 5). Tell how you came up with your system and give the entire solution set for the system. On January 1, Year 2, Kincaid Company's Accounts Receivable and the Allowance for Doubtful Accounts carried balances of $71,000 and $2,900, respectively. During the year Kincaid reported $190,000 of credit sales. Kincaid wrote off $1,750 of receivables as uncollectible in Year 2. Cash collections of receivables amounted to $227,700. Kincaid estimates that it will be unable to collect one percent (1%) of credit sales. The net realizable value of receivables appearing on Kincaid's Year 2 balance sheet will amount to: a) $29,650. b) $28,500. c) $33,300. d) $31,550. The substances are placed in separate containers at room temperature, and each container is gradually cooled. Which of these substances will solidify before the temperature reaches 0C? benzene water butane nitrogen Can someone help!!! And explain please What is the slope of the line between (3, 4) and (2, 1)? What is the argument of -1 + 3 i? 30 60 120 150 simplify the expression 10 divided by 5 times 3 GIVING 100 POINTS PLEASE ANSWER SOON When ponds freeze, they freeze at the surface first before freezing at the bottom. Which property of water explains why this might happen? Density Adhesion High boiling point High specific heat 5. List the democratic rights we enjoy today whose origins can be traced to theFrenchRevolution Dr. Potter provides vaccinations against polio and measles. Each polio vaccination consists of 6 doses, and each measles vaccination consists of 3 doses. Last year, Dr. Potter gave a total of 60 vaccinations that consisted of a total of 225 doses. How many more measles vaccines did Mr. Potter give than polio? Show All Work !! The weights of cars passing over a bridge have a mean of 3,550 pounds and standard deviation of 870 pounds. Assume that the weights of the cars passing over the bridge are normally distributed. Use a calculator to find the probability that the weight of a randomly-selected car passing over the bridge is less than 3,000 pounds. 600 units of blood were donated. Graph A shows the percentage of each blood type donated. Chart A shows the types of blood recipient can receive. A patient who has a O blood type needs a transfusion. How many units of the donated blood could be used on the patient?