For Drew’s week 1 classes identify the domain and range is the relation a function? Explain

Answers

Answer 1

From the table for Drew's week 1 classes:

Domain = {English, Math, History, Biology, Biology Lab}

Range = {60. 90, 45, 0}

What is domain and range?

A function's domain is the set of values that can be plugged into it. This set contains the x values in a function such as f. (x). A function's range is the set of values that it can take. This is the set of values that the function returns when we enter an x value. They are the y values.

A function can be thought of as a machine on an assembly line. On one end of the assembly line, there are a few screws and bolts, and on the other end, there is a car. The function is represented by the machine in the middle. The domain consists of the screws and bolts that we insert into the machine (our function).

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Related Questions

NEED HELP DUE TOMORROW PLS!!!!!!

Answers

The cost of filling the cone to its full capacity would be = 189.4 cents

What is a cone?

A cone is a three-dimensional figure in geometry that tapers from a flat base (usually a circular base) to a point called a vertex or longitude (which forms an axis through the center of the base).

The formula for the volume of a cone = πr²h/3

Height (h) = 5 inches

Radius (r) = 3 inches

π = 3.14

volume = 3.14 × 3² × 5/3

= 3.15 × 9 × 1.67

= 47.35 in³

But 1 in³ = 4 cents

47.35 in³ = X

Make X the subject of formula;

X = 47.35 × 4 = 189.4 cents.

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Are 3x-2 and 3x2 reciprocals? Explain.

Answers

Answer: No, 3x-2 and 3x^2 are not reciprocals.

Step-by-step explanation: The reciprocal of a number is defined as the multiplicative inverse of that number, which means that when a number is multiplied by its reciprocal, the result is 1. For example, the reciprocal of 2 is 1/2, because 2 * (1/2) = 1.

In contrast, 3x-2 and 3x^2 are not numbers, they are expressions that contain variables. It is not possible to determine their reciprocals without knowing the values of the variables.

For example, if x=1, then the reciprocal of 3x-2 would be (1/3)/(1-2) = -1/3, and the reciprocal of 3x^2 would be (1/3)/(1^2) = 1/3. However, if x=2, then the reciprocal of 3x-2 would be (1/3)/(2-2) = undefined, and the reciprocal of 3x^2 would be (1/3)/(2^2) = 1/12.

So it is not accurate to say that 3x-2 and 3x^2 are reciprocals.

No

The only thing stopping these from being reciprocals is the -2. Say x becomes 3

First we get 3(9)-2.

Next, we'd get 3(3)(2)

for each mentor artist, write an equation and a graph showing the proportional relationship between the art sold and your total commission.

Sara's pieces of art sell for $25 each your commission is 60%

Ravi's pieces of art sell for $2000 each your commission is 25%

x represents the number of pieces of art sold

y represents the total commission

K represents the commission per piece of art

Answers

The equations of the commissions are

Sara: y = 15xRavi: y = 500x

How to determine the equations and the graph

From the question, we have the following parameters that can be used in our computation:

Sara's pieces of art sell for $25 and  commission is 60%Ravi's pieces of art sell for $2000 and commission is 25%

Also from the question, we have:

x represents the number of pieces of art soldy represents the total commission

This means that:

Commission = Unit rate * Commission proportion * Number of pieces

Using the above as a guide, we have the following:

Sara: y = 25 * 60% * x

Ravi: y = 2000 * 25% * x

Evaluate

Sara: y = 15x

Ravi: y = 500x

See attachment for the graph of the commission equations

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which postulate proves these two triangles are congruent

Answers

The given triangles are congruent by SAS criteria.

What are congruent triangles?

Congruent triangles have both the same shape and the same size.

Given are two right angled triangles as shown in the image.

In the right angled triangles -

Two corresponding sides are equal.

They both have one right angle common.

We can conclude them as congruent by SAS Rule.

Therefore, the given triangles are congruent by SAS criteria.

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Marc's brownie pan, shown below, has a pair of parallel sides. Each day, Marc's family is going to eat 100 square centimeters of brownie from the pan. For how many days does Marc's family have brovnics before they run out? top:29 bottom: 41 side : 20​

Answers

Determine how many square centimeters make up a square meter in order to determine how long Marc will have brownies before they run out.

How to calculate a square meter?

We must first determine the number of square centimeters in a square meter in order to determine how many days Marc has left of brownies before they run out. A square meter has 3.6 square meters in it.

Because of this, Marc has access to brownies for 3.6 days until they are finished.

Knowing the dimensions of a square or rectangle will allow you to compute its square meters. Also known as the shape's area, this term is used. Length times width equals m2, which is the formula used to calculate square meters. As an illustration, if your square is 3 meters long and 2 meters wide, 3 x 2 equals 6 meters2.

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What is the degree of polynomial 2 y² Y³ 2y8?

Answers

The degree of the polynomial  [tex]2yA^2yA^32y^8[/tex] is 15

A polynomial's degree is the sum of the degrees of its monomials with non-zero coefficients. A term's degree is the sum of the exponents of the variables in it, and it is thus a non-negative integer.

The degree of a polynomial is the highest or largest power of a variable in a polynomial equation. The degree denotes the polynomial with the maximum exponential power (ignoring the coefficients).

Consider the following polynomial expression with two variables: [tex]x^3 + 6x^2y^4 + 3y^2+5[/tex]

The polynomial has a degree of 6.

This is because the exponent values of x and y in the second term of the algebraic formula, [tex]6x^2y^4[/tex], are 2 and 4, respectively. We get 6 when we sum the exponent values. As a result, the multivariable polynomial expression has a degree of 6.

As per question, polynomial is: [tex]2yA^2yA^32y^8[/tex]

The total sum of power is: 1+2+1+3+8=15

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what is the product of 69 and 5.6 x 10^5 expressed in scientific notation

Answers

[tex](69)(5.6\times 10^{5})\implies (69)(560000)\implies 3\underset{\leftarrow 7\to }{\underline{8640000}}\implies 3.864\times 10^{7}[/tex]

Tyler drove 52\tfrac{1}{2}52
2
1

mile in 1\tfrac{2}{3}1
3
2

hour. If he drove at a contant rate, how far did he travel in one hour? Enter your anwer a a whole number, proper fraction, or mixed number in implet form

Answers

Tyler drove 40 miles in one hour.

To find how far Tyler drove in one hour, we need to divide the total distance he traveled (52 21/32 miles) by the total time it took him (1 2/3 hours). To do this, we first need to convert the time to a common denominator, which in this case is 32. We can convert 1 2/3 hours to 32/3 hours by multiplying the numerator and denominator of 2/3 by 32/32.

So, we have:

(52 21/32) miles / (32/3) hour = (52 21/32) miles * (3/32) hour

                                                = (52 21/32) * (3/32)

                                                = (52 213/3232)

                                                = (52 63/32) miles/hour

                                                = 40 miles/hour

So, Tyler drove 40 miles in one hour.

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this diagram shows 3cm x 5 cm x 4 cm cubiod
find ac give your answer in 2 decimal place

Answers

The length AC will be 5.83 and the angle ACD will be 34.45°.

What is trigonometry?

The branch of mathematics that sets up a relationship between the sides and the angles of the right-angle triangle are termed trigonometry.

The trigonometric functions, also known as a circular, angle, or goniometric functions in mathematics, are real functions that link the angle of a right-angled triangle to the ratios of its two side lengths.

The length AC will be calculated as,

AC² = 5² + 3²

AC = √ ( 25 + 9 )

AC = √34

AC = 5.83

The angle ACD will be,

tanθ = P / B

θ = tan⁻¹ = ( 4 / 5.83)

θ = 34.45°

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Eleven is 20% of what number?

Answers

55

11 = 20% × y

11 = 20/100 × y

multiply both sides by 100 and divide both sides by 20

y = 11 x 100/20

y = 11 × 100 ÷ 20

y = 55

The answer here is 55

HELP! (25 POINTS AND CROWN FOE THE RIGHT ANSWER!!)

Answers

Substitute x=3y-7 into the second equation to solve for y.

x=3y-7

Substitution Property of Equality:

y=(3y-7)+1

Solve for y - combine like terms:

-7+1=-6:

y=3y-6

Subtract 3y from both sides:

y-3y=-6

-2y=-6

Divide both sides by -2:

-2y/-2=-6/-2

y=3

Now, let’s plug y=3 back into the first equation to solve for x:

x=3(3)-7

x=9-7

x=2

So, the solution is: (2, 3)

HELP!
4(2x-3)=6x+2
I thought when I simplify it 22x=14 but its wrong

Answers

Answer:

the answer is 1

Step-by-step explanation:

4(2x-3)=6x+2

8x-12=6x+2

+6x   +6x

14x-12 =2

    +12 +12

14x=14

x=1 and don't worry we all make mistakes

One angle of a triangle measures 45°. The other two angles are in a ratio of 7:20. What are the measures of those two angles?

Answers

Answer:

35° and 100°

Step-by-step explanation:

The total angle of a triangle = 180°
The total angle of two angles = 180° - 45° = 135°
One part of the ratio = 135° : (20 + 7) = 5°
The smaller angle = 5° x 7  = 35°
The bigger angle = 5° x 20 = 100°

Answer:

35° and 100°

Step-by-step explanation:

the sum of the 3 angles in a triangle is 180°

the ratio of 2 angles is 7 : 20 = 7x : 20x ( x is a multiplier )

equate the sum to the 3 angles to 180 and solve for x

45 + 7x + 20x = 180

45 + 27x = 180 ( subtract 45 from both sides )

27x = 135 ( divide both sides by 27 )

x = 5

Then

7x = 7 × 5 = 35

20x = 20 × 5 = 100

the measure of the 2 angles is 35° and 100°

Jane is making lunch for 12 people. she is serving hotdogs and plans on each person get eating two hotdogs. hotdog buns are sold in packages of eight. which expression can be used to find the number of packages she needs to buy?

Answers

He must purchase 3 packages of hot dogs and 2 packages of hot dog buns for a total of 24 hot dogs with buns if he doesn't want to have any leftover hot dogs or buns. You should be aware that students might respond with 24, which is the least common multiple of 8 and 12.

What are hot dog buns known as?

The hot dog buns most frequently used in the American region of New England and its cuisine are New England-style hot dog buns, also referred to as New England hot dog buns or top-loading hot dog buns.

What does the slang term "hot dogs" mean?

As you can see, "hot dog" is a versatile word that can be used as a noun, verb, adjective, or even as an exclamation.

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The mean length of 10 childrens' index finger is 6.8cm.
The mean length of 7 adults' index finger is 12.8cm.
What is the mean length (rounded to 2 DP) of these 17 people's index finger?

Answers

Answer:

hhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhh

Step-by-step explanation:

In what quadrant does 2/3 lie?

Answers

The point (2, 3) lies in the first quadrant.

Quadrant

The axes of a two-dimensional Cartesian system divide the plane into four infinite regions, called quadrants, each bounded by two half-axes.

These are often numbered from 1st to 4th and denoted by Roman numerals: I (where the signs of the (x; y) coordinates are I (+; +), II (−; +), III (−; −), and IV (+; −).

Cartesian system

The Cartesian coordinate system uses a horizontal axis that is called the x-axis and a vertical axis called the y-axis. Equations for lines in this system will have both the x and y variable.

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26 °
100°
X=
help anyone ?

Answers

Answer:

Step-by-step explanation:

26° + 100°

= 126°

360° - 126°

234°

The solution process is shown for an equation. Justify each step in the process with the appropriate property. Select the correct answer from each drop-down menu. 2 ⁢ ( 3 ⁢ y + 4 ) − 3 ⁢ ( y − 2 ) = 2 ⁢ y original equation 6 ⁢ y + 8 − 3 ⁢ y + 6 = 2 ⁢ y 3 ⁢ y + 14 = 2 ⁢ y combining like terms 14 = - y - 14 = y y = - 14

Answers

All the steps of the solution are written above. Then all the options are correct. And the solution is - 14.

What is the solution to the equation?

The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.

The equation is given below.

2(3y + 4) − 3 (y − 2) = 2⁢y

Simplify the equation, then we have

2(3y + 4) − 3 (y − 2) = 2⁢y

6y + 8 − 3y + 6 = 2y

3y + 14 = 2y

14 = 2y - 3y

14 = - y

y = - 14

All the steps of the solution are written above. Then all the options are correct. And the solution is - 14.

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Tara rocc mos
her home to a restaurant and ate lunch. She wen continued along the same road to a movie theater to see a movie. Finally, she returned home on the same road after the movie. Tara's distance from home during the 4 hours she was out is shown in the graph above. How many total miles did she ride her bicycle?
A)
5
B) 10
C) 16
D) 20

Answers

You can ride in many places, so be sure to look for hazards that could cause injury or other risks while bicycling.

How many miles is a lot to cycle?

The number of miles you can cycle in a single day is unlimited. It depends on your level of fitness, your exercise regimen, and the distance you cycle. Starting out, 10 kilometres per day is OK.

If you're an experienced cyclist who can pedal 25–30 miles every day, 45 miles is a realistic limit.  You can ride a certain bike trail. By riding a bike to work, you can get in shape. If you've never rode a bike before, start out slowly. If you ride your bike for at least three miles every day, you might be able to travel further.

You may be able to make the most of your speed sensor’s accuracy, depending on how accurate it is. You need to know exactly how much effort you put in during your rides.

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Which can be the first step in finding the equation of the line that passes through the points (5.-4) and (-1,8) in
slope-intercept form?

Answers

In slope-intercept form, the equation of the line passing through the points (5.-4) and (-1,8) is y = -4x + 8 .

what is equation ?

An equation is a mathematical formula that connects two assertions using the equal sign (=) to denote equivalence. In algebra, an equation is a mathematical statement that establishes the equality of two mathematical expressions. For instance, an equal sign separates the components 3x + 5 and 14 in the equation 3x + 5 = 14. A mathematical formula is used to express the connection between two phrases on either side of a letter.

given

the points (5.-4) and (-1,8)

slope = [tex]m = \frac{y2 - y1}{x2 - x1}[/tex]

slope intercept form = y = mx + c

To find the equation of the line that passes through the points (5, -4) and (-1, 8),

The slope and the intercept by the slope intercept form = y = mx + c .

The slope is -4 and the intercept is 8.

In slope-intercept form, the equation of the line passing through the points (5.-4) and (-1,8) is y = -4x + 8 .

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A sample of size 95 will be drawn from a population with mean 25 and standard deviation 13. Find the probability that will be between 22 and 27.

Answers

1.3338 is the likelihood, The probability of anything occurring is known as probability.

How are probabilities calculated?

The probability of anything occurring is known as probability. To determine probability, divide the total number of possible outcomes by the number of possible ways an event could occur.

The likelihood or chance that a specific event will occur is represented by a probability. Both proportions between 0 and 1 and percentages between 0% and 100% can be used to describe probabilities.

Explanation:

Mean (m) = 25

The standard deviation is 13

Sample size (n) is 95.

Chance that x will fall between 22 and 27.

Zscore = x - mean / s / n

If x = 22, Zscore is equal to (22 - 25) / (13/95).

For x = 27, Zscore is equal to (27 - 25) / (13/95) / n = 13 / 95, which is 1.3338.

1.3338 is the likelihood.

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I need help to get the answer

Answers

The length BC of the right triangle is 18 units.

How to find the side of a right triangle?

A right angle triangle is a triangle that has one of its angles as 90 degrees. The length BC of the right triangle can be found as follows:

Therefore, using proportion because triangle ABC is similar to triangle BDC.

x / 36 = 9 / x

cross multiply

x × x = 36 × 9

x² = 324

square root both sides of the equation

x = √324

x = 18 units

Therefore,

BC = 18 units

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7. Mai and Tyler are selling items to earn money for their elementary school. The school
earns w dollars for every wreath sold and p dollars for every potted plant sold. Mai
sells 14 wreaths and 3 potted plants and the school earns $70.50. Tyler sells 10
wreaths and 7 potted plants and the school earns $62.50.
This situation is represented by this system of equations:
[ 14w + 3p = 70.50
10w+7p = 62.50
Explain why it makes sense in this situation that the solution of this system is also a
solution to 4w + (-4p) = 8.00.

Answers

On solving the provided question we can say that - her in the equation  14w + 3p = 70.50 and 10w+7p = 62.50 , w = 12; p = 18

What is equation?

An equation is a formula in mathematics that joins two statements with the equal symbol = to represent equality. The definition of an equation in algebra is a mathematical statement proving the equality of two mathematical expressions. In the equation 3x + 5 = 14, for instance, the terms 3x + 5 and 14 are separated by an equal sign. The link between two phrases on either side of a letter is expressed mathematically. There is often only one variable, which is also the symbol. instance: 2x - 4 Equals 2.

[tex]14w + 3p = 70.50 \\[/tex]

10w+7p = 62.50 ,

[tex]w = 12\\[/tex]

p = 18

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Do you remember all 4 ways to solve a quadratic equation?

Answers

The quadratic formula, using square roots, factoring, and completing the square are the four ways to solve a quadratic problem.

what is quadratic equation ?

A quadratic polynomial in a single variable is x ax2+bx+c=0, which is a quadratic equation. a 0. The fact that this polynomial is of second order guarantees that it has at least one solution according to the Fundamental Theorem of Algebra. Solutions could be straightforward or difficult. A quadratic equation is one that has four variables. This suggests that at least one word in it has to be squared. One of the common formulas for solving quadratic equations is "ax2 + bx + c = 0." where the undefined variable "X" is represented by the numerical coefficients or constants a, b, and c.

given

Standard Form: y = a x 2 + b x + c y=ax^2+bx+c y=ax2+bx+c.

Factored Form: y = a ( x − r 1 ) ( x − r 2 ) y=a(x-r_1)(x-r_2) y=a(x−r1)(x−r2)

Vertex Form: y = a ( x − h ) 2 + k y=a(x-h)^2+k y=a(x−h)2+k.

The quadratic formula, using square roots, factoring, and completing the square are the four ways to solve a quadratic problem.

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Ryan has a points card for a movie theater. He receives 85 rewards points just for signing up. He earns 7.5 points for each visit to the movie theater. He needs 160 points for a free movie ticket. Write and solve an equation which can be used to determine vv, the number of visits Ryan must make to earn a free movie ticket.

Answers

Answer:

85+7.5v=160

7.5v=160-85

7.5v=75

V=75/7.5

V=10

Ryan would need to take 10 visits to get a free ticket.

What will be the mirror image of − 3 − 4 in y-axis?

Answers

c sea see cee ion , hol, D, B

homework i need to do pls help

Answers

Answer:

1.

(a) 4y

(b) 5w

(c) 6a

(d) 3s

(e) 2n

(f) 3g

(g) 2y

(h) 0

2.

(a) -2u

(b) -w

(c) -3a

(d) -7y

3.

(a) 7a+3b

(b) 12y+4h

(c) 2g+10a

(d) 15m+10p

(e) 10e+4

(f) 12+5a

Step-by-step explanation:

Don't be intimidated by the "letter" variables. It is really just simple addition and subtraction. Examples:

For Q1=

y + y + y + y = 4y because there are 4 y's, and since we don't know the values of the y, this is the farthest we can simplify it.

For Q2=

4u - 6u = -2u. Since these two numbers have the same variable, this is just a simple subtraction problem. 4 - 6 = -2.

For Q3=

3a + 2b + 4a + b = 7a + 3b.

Look for the numbers with the same variable. 3a and 4a both have a's, so we add the two and get 7a. 2b and b (b is the same thing as 1b) both have b's, so we add them and would get 3b.

Therefore, the answer is 7a + 3b.

I hope this helped! Good luck with future endeavors!!

Step-by-step explanation:

attached the answers below, hope that helps...

A plane flew 390 nautical miles in 45 min. Find its average speed in knots ( nautical miles per hour)

Answers

Answer:

Step-by-step explanation:

1.change minutes to hours,45 minutes is [tex]\frac{3}{4}[/tex] hours

2.then use 390÷    [tex]\frac{3}{4}[/tex]=390·[tex]\frac{4}{3}[/tex]=130·4=520 nautical per hour

How do you find the sides of an acute triangle?

Answers

To find the missing side length of the acute angled triangle apply the cosine law as follow:

a² = b² + c² - 2bccosA

b² = a² + c² - 2accosB

c² = b² + a² - 2abcosC

As given in the question,

Given triangle is acute angled triangle.

Let us consider the measure of two sides and its included angle of the acute angled triangle is given.

Let the triangle be ABC,

Side opposite to ∠A, ∠B , and ∠C are a , b, and c respectively.

Apply cosine law to find the measure of the missing side in the acute angled triangle:

a² = b² + c² - 2bccosA

b² = a² + c² - 2accosB

c² = b² + a² - 2abcosC

Therefore, to get the measure of the missing side length in the acute angled triangle apply cosine law.

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What value of x satisfies the equation − 3 4x − 5 )= 2 1 − 5x?

Answers

For the given expression, x has a value of 6.5.

What are expressions?

A sentence qualifies as a mathematical expression if it comprises one or more mathematical operations, at least two numbers, or variables.

A number is 6 times larger than the other number, x, by a factor of 2.

The equation x/2 + 6 in mathematics represents this claim.

Here, we have the equation:

-3(4x - 5) = 2(1 - 5x)

Find the value of x by solving the expression:

-3(4x - 5) = 2(1 - 5x)

-12x + 15 = 2 - 10x

-2x = -13

x = -13/-2

x = 13/2

x = 6.5

Therefore, for the given expression, x has a value of 6.5.

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Correct question:

What value of x satisfies the equation -3(4x - 5) = 2(1 - 5x)?

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The following is an excerpt from the novel All Quiet on the Western Front written by Erich Maria Remarque in 1929. The book vividly relays the extreme physical and emotional trauma of World War I as experienced through a German soldier stationed on the front lines.I am young, I am twenty years old; yet I know nothing of life but despair, death, fear, and fatuous superficiality cast over an abyss of sorrow. I see how peoples are set against one another, and in silence, unknowingly, foolishly, obediently, innocently slay one another. I see that the keenest brains of the world invent weapons and words to make it yet more refined and enduring. And all men of my age, here and over there, throughout the whole world see these things; all my generation is experiencing these things with me. What would our fathers do if we suddenly stood up and came before them and proffered our account? What do they expect of us if a time ever comes when the war is over? Through the years our business has been killing; -- it was our first calling in life. Our knowledge of life is limited to death. What will happen afterwards? And what shall come out of us?1)Due to the war, what does this soldier know of life?2)How has the war affected this soldier?3)Do you think this soldiers experiences will make it more likely or less likely for him to want to become involved in any future wars? Why or why not?4)Highlight or underline the two sentences of parts or sentences that you believe to be most powerful. Why did you choose these? What do they mean to you?PLEASE HELP ITS DUE TODAY! Which of the following elements will form positive ions Na N Cu Br just give me the right answer!If the distance between two objects decreased, what would happen to the force of gravity between them? It would increase. It would stay the same. It would depend on the speed. It would decrease. Which concept should be used to describe the functioning of the serratus anterior as it assists the anterior deltoid during shoulder flexion A water desalination plant can produce 2.8 * 10 to the power of 6 gallons of water in one day. How many gallons can it produce in 5 days? How could a candidate appeal to both urban and rural communities? Can someone please i need help. (re-read the section the cabinet. Then consider the following statement:George Washington wanted the powers of a king. Is this fact or opinion? Use evidence from the subsection to support your answer.) 4/9 down on a number line what is the answer to 9/10=8/a+6 PLS HELP!! Thank you so much Perimeter stuff Many years ago, scientistsconsidered sponges to belong to Kingdom Plantae. What sort of evidence convinced them that sponges belonged to Kingdom Animalia? which is the longest railway station in world As the clinical director of 24 employees, you have been asked to explain to staff members why they are not getting a raise this year, even though they have been working short-handed for many months and patient satisfaction scores have never been higher. Because you believe yourself to be a transformational leader, you will approach this problem by: Pool Manufacturing manufactures parts for one type of pool. The managerial accountant provided the following data for April: Pool Manufacturing Manufacturing Report for April Number of parts produced 40,000 parts Standard variable manufacturing overhead rate $35 per machine hour Standard hours required per part 0.10 machine hours Actual machine hours 3,250 machine hours Actual variable manufacturing overhead costs $104,000 What is the variable manufacturing overhead efficiency variance in April what is the slope for the equation? Energy can't be made or destroyed. It is only ever transferred, stored or dissipated. This means that energy is... what? What are some of the policy reasons underlying the requirement that before a person can be convicted of a crime, every member of a jury votes for conviction? For democracy to take hold in the modern world, people had to take responsibility for ruling themselves. The belief in individual potential and the importance of creative effort that emerged during the ____________________ helped make this possible. The dollar differential between the cost and sales price of a menu item is called food cost labor cost contribution margin profit margin What is the product of 3p and 4p 5p 7?