Help please!! Thank you

Help Please!! Thank You

Answers

Answer 1

Answer:

25 ( A)

pls mark me as BRAINLIEST

stay at home stay safe

and keep rocking

Answer 2

Answer:

A

Step-by-step explanation:

The first ten primes are

2,3,5,7,11,13,17,19,23,27

so the number is

2*3*5*7*11*13*17*23*27

so

2*11 is 22, so 22 divides the number

2*3 is 6, so 6 divides the number

2 is there so 2 divides the number

So the only one is 25.


Related Questions

The supply and demand curves for a product line of bicydes are shown. A protimately where is the equilibrium pointe
у
350
Quantity
300
+250
+200
+150
+100
demand
+50
20
80 100 120 140 160 180 200 220 240 250 200 300
Price (dollars)
A (93,268)
B. (132,220)
C.(180,355)
D.(220,115)​

Answers

The correct answer is B

Answer:

It's B

Step-by-step explanation:

plato

Leonardo wrote an equation that has an infinite number of solutions. One of the terms in Leonardo's equation is missing, as shown below. Negative (x minus 1) + 5 = 2 (x + 3) minus box

Answers

Answer:

The term inside the box should be 3 x.

Step-by-step explanation:

Given the equation:

- (x - 1) + 5 = 2 (x + 3) - T

(where T is the missing term in Leonardo's equation)

we can work with the given terms and accumulate all of them on one side of the equal sign (let's pick the right side for that, and move the tremt T to the left):

- x + 1 + 5 = 2 x + 6 - T

- x + 6 = 2 x + 6 - T

0 = 3 x - T

T = 3 x

For such equation to render infinite number of solutions, the term T on the left must equal "3 x". that way, the equation would be verified for any possible value x.

Answer:

3x

Step-by-step explanation:

i did the test and got it right, hope this helps!

Find the radius of a circle that has an arc whose central angle measures 17 degrees and has a length of 12 degrees.

Answers

Answer:

The radius of the circle is 40.44 cm

Step-by-step explanation:

We can use the formula for the arc of a circle of radius R and central angle [tex]\theta[/tex], where [tex]\theta[/tex] is given in radians (we therefore convert [tex]17^o[/tex] into radians with [tex]17^o\,\pi/180^o=0.2967[/tex] radians)

[tex]arc=R\,\theta\\12\,cm= R\,\theta\\12\,cm=R\,(0.2967)\\R=\frac{12}{0.2967} \,cm\\R=40.44\,cm[/tex]

Andrew is putting reflective tape around the edge of a stop sign. The sign is a regular octagon, and each side is 11 inches long. How many inches of tape will Andrew need?

Answers

Answer:

88 inches

Step-by-step explanation:

We are finding the perimeter of the stop sign, therefor we have to either multiply or add the value of 11. Since this sign is an octagon we will have to multiply by eight or add 11 eight times. This will give you an answer of 88 inches.

Answer:

88 inches

Step-by-step explanation:

The stop sign is in the shape of an octagon. An octogon has 8 sides. If each side is 11 inches you multiply 11 * 8 which is 88.

Mr. Duncan bought a table at a discount if 30% thus saving $42. what was the marked price of the table?​

Answers

Answer:

$140

Step-by-step explanation:

if 30% of full price = $42 then 100% = 42/0.3 = 140

Answer:

$140

Step-by-step explanation:

1. Set up the equation

[tex]\frac{42}{x}[/tex] = [tex]\frac{30}{100}[/tex]

Percentage is out of 100 this equation says 42 of x number is equal to 30%.

2. Cross multiply

30x = 4200

3. Solve for x by dividing both sides by 30

x = 140

Please help!! Don't anwser if you dont know it :) Brainliest for right anwser

Answers

Answer:

D. The graph of g(x) is horizontal stretched by a factor of 3.

Step-by-step explanation:

Multiplying x by 1/3 stretches the graph horizontally by a factor of 3.

Answer:i think its d too

Step-by-step explanation:

Analyze the diagram below and complete the instructions that follow.
Find the value of M angle 2 + M angle 4

Answers

Answer:

200°

Step-by-step explanation:

<2 = 90° (right angle)

<3 = 70° (vertically opposite angles)

<4 + <3 = 180° ( angles on a straight line)

<4 + 70 = 180°

<4 = 180° - 70°

<4 = 110°

<2 + < 4

= 90 ° + 110° = 200°

10500 people visited an art gallery in 2002.This was an increase of 25% on 2001.How many visitors were there in 2001?​

Answers

There were (10500/1.25) = 8400 visitors in 2001.


Explanation:
An increase of 25% means multiplying by 1.25. So, if the visitors from 2001 are multiplied by 1.25, then the result is 10500. Thus, the amount from 2001 was 10500/1.25=8400

Answer:

The amount in 2001 is 8400

Step-by-step explanation:

Let x be the amount in 2001

There is an increase of 25% to get to the amount in 2002

x+ .25x = 1.25 x

1.25x = 10500

Divide each side by 1.25

1.25x / 1.25 = 10500/1.25

x =8400

The amount in 2001 is 8400

10
Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar(s).
A system of linear equations is given by the tables. One of the tables is represented by the equation y=-3x + 7
X
у
х
y
0
5
-6
9
3
6
-3
8
6
7.
0
7
9
8
3
6
The equation that represents the other equation is y =
X+ .
The solution of the system is (
Reset
Next

Answers

Answer: The equation that represents the other equation is [tex]y=\dfrac{1}{3}x+5[/tex] .

The solution of the system is (3,6).

Step-by-step explanation:

Linear equation: [tex]y=mx+c[/tex]  , where m= slope

c = y-intercept.

In the first table, the y-intercept = 5     [ y-intercept = value of y at x=0.

Slope for first table  = [tex]\dfrac{y_2-y_2}{x_2-x_1}=\dfrac{6-5}{3-0}=\dfrac{1}{3}[/tex]

The equation that represents the first table:

[tex]y=\dfrac{1}{3}x+5[/tex]

So, the equation that represents the other equation is [tex]y=\dfrac{1}{3}x+5[/tex] .

Also, the solution of the system is the common point (x,y) that satisfy both equations in the system.

Here, x=3 and y=6 is the common value in both tables.

So, the solution of the system is (3,6).

The linear equation of the first table is y = 1 / 3 x + 5

The solution to the system of equation is (3, 6)

Point slope equation;y = mx + b

where

m = slope

b = y-intercept

Therefore, y = - 1 /3 x + 7 is the equation for the second table.

The equation for the first table can be solved using (0, 5)(3, 6) from the table. Therefore,

m = 6 - 5 / 3 - 0 = 1 / 3

let's find b using (0, 5)

5 = 1 / 3(0) + b

b = 5

Therefore, the equation of the first table is as follows:

y = 1 / 3 x + 5

The solution to the system of equation can be calculated as follows:

y + 1 /3 x  = 7

y - 1 / 3 x  = 5

2y = 12

y = 12 / 2

y = 6

6 - 1 / 3 x = 5

- 1 / 3 x = 5 - 6

- 1 / 3 x = - 1

x = 3

Therefore, the solution to the system of equation is (3, 6)

learn more on linear equation here: https://brainly.com/question/2263981?referrer=searchResults


3. The diagram shows a piece of rectangular tile
PQRS. A kite shape TUVW is inscribed in the
rectangle. Given that the perimeter of PQRS is
120 cm, find the area of TUVW.​

Answers

Answer:

432cm²

Step-by-step explanation:

If the Perimeter is 120cm, PT=8 (120-28-12-12-28-12-12)/2

This means the rectangle is 24x36.

area of a kite is the diagonals divided by 2 (or half of the rectangle).

24x36=864

864/2=

432 cm²

An expression is given -6m+9n-12

Answers

Answer -3(2m-3n+4)

Step-by-step explanation:

Find the value of z.

Answers

Answer:

2

Step-by-step explanation:

opposite angles are the same

the shape opposite to 'z' is labelled with 2

which means that, that angle is 2 degrees

which also means that z would be 2 aswell.

The quotient of two rational numbers is positive. What can you conclude about the signs of the dividend and the divisor? That’s us my question it’s confusing please someone help meee I’m in grade 7

Answers

Answer:

The divisor and dividend have the same signs.

Step-by-step explanation:

Let's look at all of the possible outcomes of dividing with different signs.

Positive / positive = positive

Positive / negative = negative

Negative / positive = negative

Negative / negative = positive

We can see that whenever the signs are the same, the quotient is positive.

Select all the correct answers. Which statements are correct interpretations of the logarithmic function f(x) = 7 log2 x, with respect to the context? The password is weakest if it uses a single symbol for all 7 characters. The strength of the password increases with a decrease in the number of symbols. The password is stronger with an increase in the number of symbols. The password is strongest if a single symbol is used for all 7 characters. There are 2 possible symbol options per character to produce a password of strength of 7 bits. There are 7 possible symbol options per character to produce a password of strength of 7 bits.

Answers

Answer:

The password is weakest if it uses a single symbol for all 7 characters.

The strength of password increases with an increase in the number of symbols.

There are 7 possible symbol options per character to produce a password of strength of 7 bits.

Step-by-step explanation:

The password strength is determined by the usage of symbols and upper case and lower case letters along with a numeric character. The strength of password increases when different symbols are used. It is considered as weak password if only single symbol is used for all the 7 characters. The strong passwords are not easy to break and decode.

Answer:

The three correct options are:

The password is weakest if it uses a single symbol for all 7 characters.

The password is stronger with an increase in the number of symbols.

There are 2 possible symbol options per character to produce a password of strength of 7 bits.

Rewrite the following radical expression in rational exponent form.

Answers

Answer:

[tex]x^\frac{3}{7}[/tex]

Step-by-step explanation:

we can write [tex]\sqrt[7]{x}[/tex] as [tex]x^\dfrac{1}{7}[/tex] and we multiply 1 by 3 to get [tex]x^\frac{3}{7}[/tex]

 what is the measure of AC 

Answers

Answer:

A

Step-by-step explanation:

The inscribed angle ABC is half the measure of its intercepted arc, thus

arc AB = 2 × 44° = 88° → A

Answer:

A

Step-by-step explanation:

The measure of an inscribed angle is half the measure of it's intercepted arc

Anjana is riding a motorboat at Katara starting from rest on a lake accelerates in a straight line at a constant rate of 3 m/s^2 for 8 s. How far does she ride the boat during this time?

Answers

Answer:

96 meters

Step-by-step explanation:

The computation of the distance far from her ride the boat during this time is shown below:

According to the kinematics motion equation

[tex]s = u \times t + \frac{1}{2} \times a \times t^{2}[/tex]

where,

o = 0 m/sec  

a = 3.0 m/sec

t = 8.0 sec

Now placing these values to the above formula

So, the distance far from her ride is

[tex]= 0 \times 8 + \frac{1}{2} \times 3 \times 8^{2}[/tex]

= 96 meters

We simply applied the above formula

to solve the equation 3 x + 1 = 4 x + (negative 4)

Answers

Answer:

x=5

Step-by-step explanation:

3x+1 = 4x -4

Subtract 3x from each side

3x+1-3x = 4x-3x-4

1 = x-4

add 4 to each side

1+4 = x-4+4

5 =x

Answer: x=5

Step-by-step explanation:

3x+1=4x+(-4)

3x+1=4x-4

3x+5=4x

5=x

Can you help me it’s algebra 2 and I need the answers for like 5 more questions, it’s urgent like really urgent!!!!

Answers

Answer:  B) as x → -5  from the left, y → -∞

                    as x → -5 from the right, y → +∞

Step-by-step explanation:

[tex]g(x) =\dfrac{x^2+15x+56}{x+5}\quad =\dfrac{(x+7)(x+8)}{x+5}\\\\\\\text{Evaluate from the left. Let x = -6}\rightarrow \dfrac{(-)(-)}{(-)}=-\\\\\\\text{Evaluate from the right. Let x = -4}\rightarrow \dfrac{(-)(-)}{(+)}=+[/tex]

Refer to the graph which confirms that

from the left, y tends toward -∞from the right, y tends toward + ∞

Which function is graphed below?

Answers

Answer:

The function graphed below is [tex]x = y^{2} - 2[/tex] or [tex]y = \pm \sqrt{x+2}[/tex].

Step-by-step explanation:

The graph represents a second order polynomial function (a parabola), whose axis of symmetry is the x-axis and whose form is presented as follows:

[tex]x - h = C\cdot (y-k)^{2}[/tex]

Where:

[tex]x[/tex], [tex]y[/tex] - Dependent and independent variable, dimensionless.

[tex]h[/tex], [tex]k[/tex] - Horizontal and vertical components of the vertex, dimensionless.

[tex]C[/tex] - Vertex constant, dimensionless. If [tex]C > 0[/tex], then vertex is an absolute minimum, otherwise it is an absolute maximum.

After a quick observation, the following conclusions are done:

1) Vertex is an absolute minimum ([tex]C > 0[/tex]) and located at (-2, 0).

2) Parabola pass through (2, 2).

Then, the value of the vertex constant is obtained after replacing all known values on expression prior algebraic handling: ([tex]x = 2[/tex], [tex]y = 2[/tex], [tex]h = -2[/tex], [tex]k = 0[/tex])

[tex]2+2 = C\cdot (2-0)^{2}[/tex]

[tex]4 = 4\cdot C[/tex]

[tex]C = 1[/tex]

The function is:

[tex]x = -2 + 1\cdot y^{2}[/tex]

[tex]x = y^{2}-2[/tex]

The inverse function of this expression is [tex]y = \pm \sqrt{x+2}[/tex]

The function graphed below is [tex]x = y^{2} - 2[/tex] or [tex]y = \pm \sqrt{x+2}[/tex].

Susan and Mark are standing at different places on a beach and watching a bird. The angles of elevation they make are 20º and 50º, respectively. If Susan and Mark are 7 kilometers apart and the bird is between them, the bird is at a height of kilometers from the ground.

Answers

Answer:

The bird is 2.44km high

Step-by-step explanation:

Hello,

To solve this question, we need to understand how they are and we can only get this with a correct pictorial diagram.

See attached document for better understanding.

From the first diagram, we understand that the bird is between them and also on top of them.

Assuming Susan, Mark and the bird all form a triangle at each other and the bird at the top, we can divide the the triangle into two equal parts.

But before then, we should know that sum of angles in a triangle is equal to 180°

Therefore,

20° + 50° + b° = 180

70° + b = 180

b = 180° - 70°

b = 110°

Dividing angle b into two equal parts = 55° on each side.

See the last attached document for better illustration.

Using SOHCAHTOA, we can find the adjacent of the triangle which corresponds to the height of the bird.

We have opposite = 3.4km and we're looking for adjacent. We can use tangent of the angle to find the adjacent.

Tanθ = opposite / adjacent

Tan 55° = 3.5 / adj

Adjacent = 3.5 / tan55

Adjacent = 3.5 / 1.43

Adjacent = 2.44km

The height of the bird is 2.44km

Answer:

A. 1.95

Step-by-step explanation:

PLATO

Which point is on the line that passes through point R and is perpendicular to line PQ? (–6, 10) (–4, –8) (0, –1) (2, 4)

Answers

Answer:

(-4, -8)

Step-by-step explanation:

Let the coordinates of common point of the given lines are (x, y),

Thus, the slope of the line passes through the points (a, b) and R(4,2) is,

       2 - b

m1 = ------

        4 - a

Again, the slope of the line passes through two points P(-6,4) and Q(4,-4),

      -4 - 4          -8           -8          -4

m2 = ------  =   --------- = --------- = ---------

        4- (-6)       4 + 6         10        5

= m1 * m2 = -1

 

  2 - b      -4

= -------   x ---- =  -1

   4 - a      5

        8 - 4b

=     -----------   = 1

        20 - 5a

= 8 - 4b  = 20 - 5a

= 5a - 4b = 12 --------- equation 1

For a = -6   and b = -10

5 x -6  - 4  x  10 = -70 ≠ 12

For a = -4   and b = -8

5 x -4  - 4  x  - 8  = 12 = 12

For a = 0  and b = -1

5 x 0 - 4 x -1 = 4 ≠ 12

For a = 2 and b = 4

5 x 2 - 4 x 4 = -6 ≠ 12

therefore Second is correct

hope it helps and i get the brainliest.

The point lies on the line that passes through point R and is perpendicular to line PQ will be (-4, -8). Then the correct option is B.

What is the equation of a perpendicular line?

If the slope of the line is m, then the slope of the perpendicular line will be negative 1/m.

The points are P(-6, 4), Q(4, -4), and R(4, 2). Then the slope of the line PQ is calculated as,

m = (4 + 4) / (-6 - 4)

m = - 4/5

The slope of the perpendicular line is calculated as,

⇒ -1/m

⇒ -1/(-4/5)

⇒ 5/4

The equation of the perpendicular line is written as,

y - 2 = (5/4)(x - 4)

y - 2 = (5/4)x - 5

y = (5/4)x - 3

Let's check which option satisfies the equation. Then we have

a) For, x = -6 and y = 10, then we have

10 = (5/4) (-6) - 3

10 ≠ - 10.5

 

b) For, x = -4 and y = -8,

-8 = (5/4) (-4) - 3

-8 = -8

c) For, x = 0 and y = -1,

-1 = (5/4) (0) - 3

-1 ≠ - 3

 

d) For, x = 2 and y = 4,

4 = (5/4) (2) - 3

4 ≠ - 0.5

 

The point lies on the line that passes through point R and is perpendicular to line PQ will be (-4, -8). Then the correct option is B.

More about the equation of a perpendicular line link is given below.

https://brainly.com/question/14200719

#SPJ7

Exactamente a las 6:45 am mi reloj se daño y comenzo a caminar en sentido contrario a la velocidad correcta, ahora son las 9:30 am que hora esta marcando mi reloj? ayuda :(

Answers

Answer:

El reloj está marcando:

las 4:00 horas

Step-by-step explanation:

El reloj avanzó a su mismo ritmo pero en sentido contrario a partir de las 6:45

si ahora son las 9:30 el reloj marca:

9:30 = 9horas 30minutos = 9h 30'

6:45 = 6horas 45minutos = 6h 45´

1 hora = 60'

9h 30' = 8h + 60' + 30' = 8h + 90' = 8h 90'

entonces:

 8h 90'

- 6h 45'

= 2h 45

entonces el reloj está marcando 2h 45' menos que la hora en que se dañó.

por tanto:

 6h 45'

- 2h 45'

= 4h 00'

El reloj ahora está marcando las

4 horas en punto.

Please help me with this question!

Answers

Answer: C) 12.2

================================================

Explanation:

We have a known adjacent side (10) and an unknown hypotenuse (x). The cosine rule ties the two sides together.

cos(angle) = adjacent/hypotenuse

cos(35) = 10/x

x*cos(35) = 10

x = 10/cos(35)

x = 12.2077458876146 approximately

x = 12.2

Make sure your calculator is in degree mode.

Answer:

[tex]\boxed{12.2}[/tex]

Step-by-step explanation:

cos θ = [tex]\frac{adjacent}{hypotenuse}[/tex]

The hypotenuse of the triangle is x.

cos (35) = [tex]\frac{10}{x}[/tex]

x = [tex]\frac{10}{cos(35)}[/tex]

x = 12.20774588...

x ≈ 12.2

plzzzz answer right away will mark BRAINLIST AND FIVE STARS PLUS THANKS What is the constant of proportionality in the equation y = StartFraction x over 9 EndFraction? 0 StartFraction 1 over 9 EndFraction StartFraction 8 over 9 EndFraction 1

Answers

Answer:

Proportionality Constant = k = [tex]\frac{1}{9}[/tex]

Step-by-step explanation:

Equation is:

[tex]y = \frac{x}{9}[/tex]

=> [tex]y = (\frac{1}{9} ) x[/tex]

Comparing it with [tex]y = kx[/tex], where k is the proportionality constant, We get:

Proportionality Constant = k = [tex]\frac{1}{9}[/tex]

Answer:

[tex]{\sf \frac{1}{9}}[/tex]

Step-by-step explanation:

y and x are the directly proportional quantities.

[tex]\sf y=kx[/tex]

The constant of proportionality is k.

The equation is:

[tex]\sf y=\frac{x}{9}[/tex]

[tex]\sf y=\frac{1}{9} x[/tex]

The value of k in this equation is:

[tex]\sf k= \frac{1}{9}[/tex]

Evaluate each expression for the given values of the variables: |a+x|/2-|a-x|/2if a=−2; x=−6

Answers

Answer:

2

Step-by-step explanation:

|a+x|/2-|a-x|/2

Plug in the values.

|-2+-6|/2-|-2- -6|/2

Evaluate.

|-8|/2-|4|/2

Apply rule : |-a| = a

8/2 - 4/2

4 - 2

Subtract.

= 2

The Answer is the problem is: 2

Hope this helped!

In Central City, Elm Street and Maple Street are parallel to one another. Oak Street crosses both Elm Street and Maple Street as shown.

Answers

Answer:

a. (True) Since ∠6 and ∠8 are vertical angles, they are congruent.

b. (False) ∠1 and ∠2 are supplementary but 65 + 125 ≠ 190.

c. True

d. True

e. True

Answer:

The answer is Freddy Kruger

Step-by-step explanation:

Elm Street, duh

What is the measure of angle B in degrees?

Answers

119°

Step-by-step explanation:

for this angle A has to be found for that you can use the theorem that states sum of interior angles is equal to the sum of opp exterior angle

51 + A = 112

A = 112 - 51

A = 61°

THEN WE CAN FIND THE B angle

they are angles on a straight line

so 61 + B = 180

B = 119°

Renna pushes the elevator button, but the elevator does not move. The mass limit for the elevator is 450 kilograms ({kg}, but Renna and her load of identical packages mass a total of 620kg. Each package has a mass 37.4kg Write an inequality to determine the number of packages, Renna could remove from the elevator to meet the mass requirement.

Answers

Answer:

5 ≤ The number of packages Renna can remove

Step-by-step explanation:

The allowable mass on the elevator is given as 450 kg

The mass of Renna and the packages = 620 kg

The mass of each package = 37.4 kg

The mass Renna should remove from the elevator to meet the mass requirement = 620 - 450 = 170 kg

Therefore, the number of packages, n, Renna should remove can be found from the following inequality

170 ≤ n × 37.4

We note that since the mass of the packages are known, 5 packages weigh 187 kg which is > 170 kg

Therefore, the number of packages to be removed is 170 ≤ n × 37.4 < 187

Dividing by 37.4, we get;

Number of packages to be removed = 4.55 ≤ n < 5 ≈ 5 packages

Given that there whole number packages, we have;

5 ≤ n, which is , 5 ≤ The number of packages Renna can remove.

Answer:

37.4p  ≥ 170

Step-by-step explanation:

5 are in total packages.

Trust me this is the answer because I did this before

Hope this helps ;)

For what values of the following expressions are true: |a−5|=5−a

Answers

Answer:

Whenever a-5<0 or a<5

Step-by-step explanation:

So if you have an absolute value, that turns into two equations. The one we care about is -(a-5)=5-a. After distributing the negative through the left side of the equation, you'll get that 5-a=5-a, which is an identity. But you can only say that abs(a-5)=5-a when a-5<0. To see a visual representation of this, graph both sides of the equation in desmos.

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Sodium oxide has the chemical formula Na2O. What is the oxidation number of oxygen in this compound? Provide your answer below: ___ Please help. Ill mark you as brainliest if correct! Mitchell Corporation manufactures a single product. The selling price is $85 per unit, and variable costs amount to $68 per unit. The fixed costs are $16,500 per month. What will be the monthly margin of safety (in dollars) if 1,800 units are sold each month 30 points **please help quadratic relations - will give brainlist to first one who answers Please answer this question now Una masa de 0,5 kg est sobre una pendiente inclinada 20 sujeta mediante una cuerda paralela a la pendiente que impide que deslice. Si no hay rozamiento, qu fuerza hace la cuerda? HELP NEEDED NOW Measure the difference between the lower quartile of Data Set A and the lower quartile of Data Set B. Round to the nearest tenth when performing all operations. Lindon Company is the exclusive distributor for an automotive product that sells for $34.00 per unit and has a CM ratio of 30%. The companys fixed expenses are $193,800 per year. The company plans to sell 21,600 units this year. Required: 1. What are the variable expenses per unit? (Round your "per unit" answer to 2 decimal places.) 2. What is the break-even point in unit sales and in dollar sales? 3. What amount of unit sales and dollar sales is required to attain a target profit of $91,800 per year? 4. Assume that by using a more efficient shipper, the company is able to reduce its variable expenses by $3.40 per unit. What is the companys new break-even point in unit sales and in dollar sales? What dollar sales is required to attain a target profit of $91,800? What is the value of 3X to the 2nd power Language Arts - Bible Skills > I need help with this one question will give brainly The following data are the actual results for Marvelous Marshmallow Company for August:Actual output 8,000 casesActual variable overhead $ 427,000Actual fixed overhead $ 149,000Actual machine time 33,400 machine hoursStandard cost and budget information for Marvelous Marshmallow Company follows:Standard variable-overhead rate $ 12.00 per machine hourStandard quantity of machine hours 4 hours per case of marshmallowsBudgeted fixed overhead $ 144,000 per monthBudgeted output 12,000 cases per monthRequired:Compute the following variances:a Variable-overhead spending varianceb. Variable-overhead efficiencv variancec. Fixed-overhead budget varianced. Fixed-overhead volume variance How can you avoid the risk of getting these illnesses . A biologist is in the process of classifying a newly discovered fungus. The fungus is a decomposer and has saclikestructures. The organism most likely belongs in the same group as which of the following? What the answer now now When a son was born to Confucius, the king of Lu sent over a carp as present. Confucius named his son Carp.The wise say a carp leaping over the dragon gate is a very lucky sign. My father says he named me Cloud because I was born in the year of the dragon: there are always clouds following a dragon. Confucius son died an early death. My father has only three daughters.Knowing the carp is a symbol of luck, perseverance, and success in Chinese culture, what can be inferred from this excerpt from Wangs The Carp? An electric field can be created by a single charge or a distribution of charges. The electric field a distance from a point charge has magnitude E = k|q'|/r^2.The electric field points away from positive charges and toward negative charges. A distribution of charges creates an electric field that can be found by taking the vector sum of the fields created by individual point harges. Note that if a charge is placed in an electric field created by q', q will not significantly affect the electric field if it is small compared to q'. Imagine an isolated positive point charge with a charge Q (many times larger than the charge on a single electron).1. There is a single electron at a distance from the point charge. On which of the following quantities does the force on the electron depend?a. the distance between the positive charge and the electronb. the charge on the electronc. the mass of the electrond. the charge of the positive chargee. the mass of the positive chargef. the radius of the positive chargeg. the radius of the electron2. For the same situation as in Part A, on which of the following quantities does the electric field at the electron's position depend?a. the distance between the positive charge and the electronb. the charge on the electronc. the mass of the electrond. the charge of the positive chargee. the mass of the positive chargef. the radius of the positive chargeg. the radius of the electron Sam is writing a research paper on the benefits of healthy eating habits.He drew a chart to help him brainstorm his thoughts which three items on the chart would be best for him The line L is shown on the grid. Find an equation for L. Give your answer in the form y=mx+c What is the equation of the line of best fit for the following data? Round theslope and yintercept of the line to three decimal places.Need help ASAP!! Find the Slope of the line-411/44