a line passes through point (2,-6) and has a slope of -9. write an equation in ax+by=c form for this line. use integers for a,b, and c.
// lol please help :,) //

Answers

Answer 1

Answer:

  9x +y = 12

Step-by-step explanation:

You want the standard form equation for the line with slope -9 through the point (2, -6).

Point-slope form

The point-slope form equation is a good place to start when given a point and a slope. That equation is ...

  y -k = m(x -h) . . . . line with slope m through point (h, k)

  y -(-6) = -9(x -2) . . . . line with slope -9 through point (2, -6)

Standard form

This can be rearranged to the desired form:

  y +6 = -9x +18 . . . . . . eliminate parentheses

  9x +y = 12 . . . . . . . . add 9x -6

A Line Passes Through Point (2,-6) And Has A Slope Of -9. Write An Equation In Ax+by=c Form For This

Related Questions

suppose the specialist wants to know the number of suspicious transactions that will need to be reviewed until reaching the first transaction that will be blocked. (i) define the random variable of interest and state how the variable is distributed. (ii) determine the expected value of the random variable and interpret the expected value in context.

Answers

i) The random variable is the number of suspicious transmissions reviewed until finding the first blocked one and the random variable is distributed usinng geometric distribution

ii) The expected value of the random variable: 2.5 which means the specialist will review 2.5 suspicious transactions on average before finding the first transmission that will be blocked.

In this question we have been given a fraud detection system identifies suspicious transactions and sends them to a specialist for review. The specialist reviews the transaction, the customer profile, and past history.

Based on past history, the specialist blocks 40 percent of the suspicious transactions.

so, p = 0.40

i. Let X represent the number of suspicious transmissions reviewed until finding the first blocked one.

We will use a geometric distribution to model the first transmission.

ii. We know that according to the geometric model the expected value of the random variable would be.

E(X) = 1/p ,

       = 1/0.4

       = 2.5

This means, the specialist will review 2.5 suspicious transactions on average before finding the first transmission that will be blocked.

Therefore,  i) the random variable: the number of suspicious transmissions reviewed until finding the first blocked one.

ii) the expected value of the random variable: 2.5

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The complete question is:

At a financial institution, a fraud detection system identifies suspicious transactions and sends them to a specialist for review. The specialist reviews the transaction, the customer profile, and past history. If there is sufficient evidence of fraud, the transaction is blocked. Based on past history, the specialist blocks 40 percent of the suspicious transactions. Assume a suspicious transaction is independent of other suspicious transactions.

Suppose the specialist wants to know the number of suspicious transactions that will need to be reviewed until reaching the first transaction that will be blocked.

(i) Define the random variable of interest and state how the variable is distributed.

(ii) Determine the expected value of the random variable and interpret the expected value in context.

How do I solve -3x-2y=5 and get the initial value and rate of change.

Answers

Answer:

-3/2

Step-by-step explanation:

[tex]-3x-2y=5 \\ \\ 3x+2y=-5 \\ \\ 2y=-3x-5 \\ \\ y=-\frac{3}{2}x-\frac{5}{2}[/tex]

Help meee please !!!???

Answers

Answer:

Step-by-step explanation:

it is c

Answer: A have a good day

This graph shows fuel consumption for a car during a test run. Three of the statements are true. Which is NOT?

Line graph. X axis labeled miles; y axis labeled gallons. Line with upward arrow extends from point where X and Y axes connect (0, 0) with one marked coordinate (73.5, 3.5).


The car used 312 gallons of gas to go nearly 75 miles.


The car used 70 gallons of gas to go 3 miles.


The car used gas at a unit rate of 21 miles per gallon.


At this rate, it would take 4 gallons of gas to travel 84 miles.

Answers

In the graph showing fuel consumption for a car during a test run the correct statement is

At this rate, it would take 4 gallons of gas to travel 84 miles.

How to find the correct statement

The information given in the problem will help to find the equation of the graph in the form

y = mx + c

definition of variable to suit the problem

y = output variable = number of gallons

m = slope

x = input variable = number of miles

c = y intercept

The slope

= (3.5 - 0) / (73.5 - 0)

= 0.05

the y intercept is 0

the equation of the line is y = 0.05x

Only option the last option fits the equation as shown

number of gallons = 0.05 * number of miles

= 0.05 * 84 miles

= 4.2 gallons

= 4 gallons

hence the last option is the correct choice

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Two cities are 145 miles apart. A truck travels this distance in 2.5 hours. A car is 1.5 times as fast as the truck. How long does it take the car and the truck to meet if they leave at the same time and travel toward each other

Answers

The time it will take the car and truck to meet is 5hours

What is velocity?

Velocity is the rate of change of displacement with time. It is a vector quantity and it is measured in meter per seconds but it can also be measured in other units like kilometers per hour and miles per hour.

Velocity = displacement/time

the velocity of the truck is 145/2.5 = 58miles per hour

the car is 1.5 times faster than the truck

this means the velocity of the car is 58× 1.5= 87miles per hour

displacement = velocity×time

total displacement = 145miles

displacement of car = 87t

displacement of truck = 58t

using addition of vectors

145=87t-58t

145= 29t

t = 145/29

t= 5hours

therefore at 5hours the car and the truck will meet

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(5 points)
If ABCD is a parallelogram, what is the measure of D
A/9x + 5
16x
C
B

Answers

If ABCD is a parallelogram, then the measure of D is 68

From the property of parallelogram the opposite angels are equal so < DAB = < DCB so < DAB will become 16x.

        9x + 5 + 16x(<DAB) = 180 ....... because it is straight line.

        25x + 5 = 180

        25x = 180 - 5

        25x = 175

            x = 7

now let's substitute in the angle < DAB( 16x): 16 × 7= 112To get < ADC lets use the property of parallelogram which says that adjacent angles are supplementary. which means

          <ADC+ <DAB= 180

          <ADC+ 112 = 180

          < ADC= 180 - 112

          < ADC = 68

Therefore, the measure of D is 68

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What is the answer to 21≥3(a−7)+9

Answers

The answer should be this 11 ≥ a or a ≤ 11

there are 498 identical plastic chips numbered 1 through 498 in a box. what is the probability of reaching into the box and randomly drawing a chip number that is greater than 315? express your answer as a simplified fraction or a decimal rounded to four decimal places.

Answers

The probability of reaching into the box and randomly drawing a chip number that is greater than 3150 is 0.3675

In this question we have been given there are 498 identical plastic chips numbered 1 through 498 in a box.

We need to find the probability of reaching into the box and randomly drawing a chip number that is greater than 315

Total number of chips = 498

so, n(S) = 498

Let event A: drawing a chip number that is greater than 315

The number of chips greater than 315:

498 - 315 = 183

So, n(A) = 183

The probability of reaching into the box and randomly drawing a chip number that is greater than 315 using the formula of probability,

p(A) = n(A)/n(S)

p(A) = 183/498

p(A) = 0.3675

Therefore, the required probability is 0.3675

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A photo is 16in long and 126cm wide.what is the approximate area of the picture in square feet?

Answers

The picture has the dimension of a rectangle and will have the area of 66.166 in square feet.

How to calculate for the area

We have to convert the length and width to be in same unit, before calculating for the area by multiplying the length by the width, and then convert the result to be in square feet.

1 cm = 0.394 inches

126 cm = 126 × 0.394 inches

126 cm = 49.644 inches

So the picture has length 16 inches and width 49.644 inches

area of picture = 16 inches × 49.644 inches

area of picture = 794.304 square inches

1 inch = 0.0833 feet

794.304 square inches = 794.304 × 0.0833 square feet

794.304 square inches = 66.166 square feet.

In conclusion, the picture has an area of 66.166 square feet.

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Please help me with this

Answers

A} M = 10
B R= 6

Can I get a Brainly

If 400 m long fencing wire is required to surround a square flower garden 2 times, find length of the garden. -Maths Links Book 6 Approved by CD​

Answers

Answer:

garden=400/2

=200

4× side = perimeter=200

So,  =200/4

=50 m.

Step-by-step explanation:

Answer:

Length of garden is 50 m.

Step-by-step explanation:

Fence required for 1 time,

→ 400 ÷ 2

→ 200 m

Perimeter of square formula is,

→ P = 4 × L

Now length of the garden will be,

→ P = 4 × L

→ 200 = 4L

→ 4L = 200

→ L = 200/4

→ [ L = 50 m ]

Hence, length of garden is 50 m.

someone please help me with this question it’s my last one!

Answers

Answer:

Step-by-step explanation:

okay so what I would do is multiply the denominator of 3 from 2/3 by 4 to get 12. So what you do to the bottom you have to do to the top so that fraction 2/3 will turn to 8/12.


Then I would multiply the denominator of 4 from 1/4 by 3 to get also get 12. And again what you do to the bottom you have to do to the top. So that fraction will be 3/12.

Ten you add them 8/12 + 3/12 = 11/12


Answer = 11/12

Veronica used this figure in her proof of the Pythagorean theorem.

Answers

Sum of the square of a and square of b should be equal to the  square of c of pythagoras theorem is incorrect.

What is Pythagoras' theorem?
Pythagoras' theorem
states that the sum of the squares of the lengths of the two shorter sides of a right triangle is equal to the square of the length of the hypotenuse (longest side). Mathematically, it can be expressed as a2 + b2 = c2, where a and b are the lengths of the two shorter sides and c is the length of the hypotenuse.

hypotenuse²=opposite side²+Adjacent side²

Substitute the variables

So, c² = a² + b²  

So, option c, which is the sum of the square of a and square of b should be equal to the  square of c is correct.

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Geometry
It’s a a kite. Looking for x and y

Answers

We have to find the values of x and y. We know that one pair of opposite angles of a kite are equal. We know that the sum of all the angles of a quadrilateral is equal to 360 degrees. Therefore, the values of x and y are 80° and 110°.

A kite is a quadrilateral with two pairs of adjacent sides, congruent. A kite also has perpendicular diagonals, where one bisects the other. You can use either of these things to determine if a quadrilateral is a kite.

What is a kite in geometry terms?

The most general definition that is typically used: A kite is a quadrilateral in which one of its diagonals is its axis of symmetry. This definition is equivalent to the following one: A kite is quadrilateral that has two pairs of equal adjacent sides.

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Which of the following equations has a solution of −7?(1 point)


4x−23=5


5x+11=−24


−x+3=−4


−3x−8=−29

Answers

To find the equation with -7 as a solution, we can plug -7 in for the variable.

Option A: 4(-7) = -28
-28 - 23 ≠ 5

Option B: 5(-7) = -35
-35 + 11 = -24

Option C: -1(-7) = 7
7 + 3 ≠ -4

Option D: -3(-7) = 21
21 - 8 ≠ -29

Because -7 only plugs in for one answer, option B is our answer. The equation with a solution of -7 would be 5x + 11 = -24

Mia went into a grocery store and where they sell apples for $2 each and mangos $1.50 each. Let x represent the number of apples and y represent the number of mangos she can buy.


Problem part 1: Mia has $20 to spend. Which inequality can be used to represent this situation?



Problem part 2: If Mia decided to buy 3 mangos, determine the maximum number of apples that she could buy.

Answers

The inequality that can be used to represent this situation is 2x + 1.50y ≤ 20.

The maximum number of apples she can buy is 7 apples.

How to represent inequality?

Mia went into a grocery store and where they sell apples for $2 each and mangos $1.50 each.

where

x = number of applesy = number of mangoes

Therefore, let's represent the inequality when Mia has to spend 20 dollars.

2x + 1.50y ≤ 20

If Mia decide to buy 3 mangoes , the maximum number of apples she can buy can be calculated as follows:

2x + 1.50y ≤ 20

2x + 1.50(3) ≤ 20

2x + 4.5 ≤ 20

2x ≤ 20 - 4.5

2x ≤ 15.5

x ≤ 15.5 / 2

x ≤ 7.75

Therefore, the maximum she can buy is 7 apples.

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52% of 128 is what?

Answers

52% of 128 is what? It is 66.56

4 Describe at least two different transformations or sequences of transformations that
transform square A to square B.

Answers

The orientation of ABCD is clockwise, as is the orientation of A'B'C'D'. This means the transformation involves a even number of reflections (may be 0).

Does the order of transformations matter in functions?

Order is not important. According to algebra, y=12f (x3). Our four transformations are (1), (3), (2), and (4); all four are in the x direction. When we combine a stretch and a translation in the same direction, the sequence counts.

The orientation of AB is North, and the orientation of A'B' is West, so a rotation of 90° CCW (or equivalent) is involved. We can find the point of intersection of the perpendicular bisectors of AA' and BB' (at (-1, -1)) to determine a suitable center of rotation.

ABCD can be transformed to A'B'C'D' by ...

rotation 90° CCW about the point (-1, -1)

Rotation by 90° can also be accomplished by reflection across a diagonal line. Since we want the orientation to remain unchanged, we need another reflection to put the figure into its final position. A suitable alternate sequence for mapping ABCD to A'B'C'D' is ...

reflection across the line y=x

reflection across the line x=-1

Complete question: A.) Describe a transformation sequence that will transform quadrilateral ABCD into quadrilateral A’B’C’D’.

b.) There is more than one way to transform quadrilateral ABCD into quadrilateral A’B’C’D’. Describe a second sequence of transformations that will accomplish this goal. Explain what tool you used as an aid in identifying a transformation sequence.

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Which equations are true for x = –2 and x = 2? Select two options
O x2 – 4 = 0
O x2 = –4
O 3x2 + 12 = 0
O 4x2 = 16
O 2(x – 2)2 = 0

Answers

The only two options with equations that are true for x = –2 and x = 2 are;

Option A: x² - 4 = 0

Option D: 4x² = 16

How to identify the correct domain value?

The domain of a function is the set of all input values  for which the function is possible.

Now, we are given the domain values as  x = –2 and x = 2.

a) x² - 4

f(-2) = (-2)² - 4

= 0

f(2) = (2)² - 2

= 0

b) x² = -4

f(-2) = (-2)²

= 4

f(2) = (2)²

= 4

c) 3x² + 12

f(-2) = 3(-2)²  + 12

= 24

f(-2) = 3(2)²  + 12

= 24

d) 4x²

f(-2) = 4(-2)²

= 16

f(2) = 4(2)²

= 16

e) 2(x - 2)²

f(-2) = 2(-2 - 2)²

= 32

f(2) = 2(2 - 2)²

= 0

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By rounding to 1 significant figure, estimate
101
×
52

Answers

The significant figure by multiplying 101 with 52 is 5000.

What is significant figures?The number of digits in a value, often a measurement, that contribute to the degree of accuracy of the value is referred to as significant figures. At the first non-zero digit, we begin counting significant figures.A number's first significant figure is the first digit that is not zero.To round to the nearest one, ten, hundred, thousand, and so on, change all digits to the right of the rounding digit to zeroes.

Here given,

101 x 52

Round 101 to 100 and 52 to 50, then multiply together to get 5000.

Significant Figures: 1

Decimals: 0

The significant notation: 5e+3

Therefore the significant notation is 5000.

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Make
p the subject of the formula q - 2p = p + 4

Answers

Answer:

p = q - 2p - 4

Step-by-step explanation:

q - 2p = p + 4 ( isolate p on the right by subtracting 4 from both sides )

q - 2p - 4 = p

To secure a 500-meter radio tower against high winds,
guy wires are attached to the top of the tower. Each wire
forms a 15° angle with the top of the tower. Find the length
of the wire from the tower to its anchor in the ground.

Answers

Answer: To find the length of the wire from the tower to its anchor in the ground, you can use the formula for the length of a side in a 30-60-90 triangle. Since the angle between the wire and the tower is 15°, the angle between the wire and the ground is 75° (90° - 15°). This means that the wire and the tower form a 30-60-90 triangle.

In a 30-60-90 triangle, the side opposite the 30° angle is half as long as the hypotenuse, and the side opposite the 60° angle is half as long as the side opposite the 90° angle. Since the wire is the hypotenuse of the triangle, and the wire is opposite the 60° angle, the length of the wire from the tower to its anchor in the ground is half as long as the hypotenuse.

Therefore, the length of the wire from the tower to its anchor in the ground is 500/2 = 250 meters.

(HELP-)
On the day of the test, the teacher instructed the students to take out at least 3 pencils from their backpacks.
Determine which inequality represents this scenario.
3 < p
3 > p
3 ≥ p
3 ≤ p

Chad purchased a new dirt bike for a competition. The salesperson recommended that the tires maintain an air pressure of at least 12psi for good traction on the riding surface.
Determine which inequality represents the salesperson's recommendation.
number line with open circle on the number 12 and line shaded to the left
number line with closed circle on the number 12 and line shaded to the left
number line with closed circle on the number 12 and line shaded to the right
number line with open circle on the number 12 and line shaded to the right

Ms. Rumble's history class conducted interviews with their grandparents for a class project. The grandparents at least 89 years old knew that Amelia Earhart was the first woman to fly solo across the Atlantic Ocean.
Determine the graph to represent this scenario.
number line with open circle on the number 89 and line shaded to the right
number line with closed circle on the number 89 and line shaded to the right
number line with closed circle on the number 89 and line shaded to the left
number line with open circle on the number 89 and line shaded to the left

Wyatt had to climb the stairs to ride the waterslide. The top of the waterslide was more than 56 feet from the ground. Which graph represents this inequality?
number line with open circle on the number 56 and line shaded to the left
number line with closed circle on the number 56 and line shaded to the left
number line with a open circle on the number 56 and line shaded to the right
number line with an closed circle on the number 56 and line shaded to the right

Zan took her dog, Simba, to the dog park on Saturday afternoon. There were more than 20 dogs running around the park when they arrived.
Determine which inequality describes the dogs at the park.
d < 20
d > 20
d ≥ 20
d ≤ 20

Answers

The inequality which can represent the above scenario is 3 ≤ p  

What is Inequality  ?

In mathematical expressions, inequalities are those in which the two sides are not equal. Contrary to equations, we compare two values in inequality. The symbols we will use in this instead of equals to are Less than (or less than or equal to), greater than (or greater than or equal to), or not equal to signs.

≤ - less than or equal to

≥ - greater than or equal to

≠ - Not equal  

Main Body:

Given:  

On the day of the test, the teacher instructed the students to take out at least 3 pencils from their backpacks.

To find:

Determine which inequality represents this scenario.

Let us know about Inequality

In the given scenario,

The teacher asked the to take out at least 3 pencils from their backpacks. which the students can take out 3 pencils or 2 or 1 pencil (which is less than 3) but not greater than 3.  

Therefore,The inequality which can represent the above scenario is 3 ≤ p

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What is the solution of the equation x2 - 12x = 8?

Answers

The solution of the equation is x = 6±2√11.

What is a quadratic equation?

The quadratic formula in elementary algebra is a formula that yields the answer to a quadratic problem. In addition to the quadratic formula, other methods of solving quadratic equations include factoring, completing the square, graphing, and others.

Here, we have

Given: x² - 12x = 8

Now, we factorize the given equation and find the solution.

x² - 12x = 8

x² - 12x - 8 = 0

We apply here the quadratic formula.

= (-b ±√b²-4ac)/2

= (12 ±√12²-4×1×(-8))/2

= (12±√144+32)/2

= (12±√176)/2

= (12±4√11)/2

= 6±2√11

Hence, the solution of the equation x² - 12x = 8 is 6±2√11.

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PLEASE HELP ME!!!!!! THIS IS DUE ON FRIDAY!!!!!! (There is another part)

Answers

Answer:

it's c trust me I had the same problem

2
Write the answer in each blank.
Of these numbers
745 281 578 170
is the smallest
is the largest

Answers

Answer:

170 is the smallest

745 is the largest

Step-by-step explanation:

It is what it is

please help me I don’t get this

Answers

The operations between functions are:

a) h(f(3)) = 5

b) (f×g)(4) = -8

c) f(  g(h(0))) -1

How to operate with functions?

The first thing we want to find is a composition, we want to find:

h(f(3))

That means that we need to evaluate h(x) in f(3), look at the graph and you can see that f(3) = -4

Replacing that we get:

h(f(3)) = h(-4)

And on the graph, we can see that h(-4) = 5

then h(f(3)) = 5

b) Now we have the product:

(f×g)(4) = f(4)*g(4)

Again, looking at the graph:

f(4) = -4

g(4) = 2

Then:

(f×g)(4) = f(4)*f(4)

(f×g)(4) = -4*2

(f×g)(4) = -8

c) Finally we have other composition:

f(  g(h(0)))

So we have 2 compositions, first we find:

h(0) = 5

f(  g(h(0))) = f(g(5))

Then:

g(5) = 0

f(  g(5)) = f(0)

Finally, look at the graph and you can see that f(0) = -1

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Salma finds some nickels and pennies
under the couch cushions. How much
money (in dollars) does she have if she
has 100 nickels and 150 pennies? How
much money (in dollars) does she have if
she has a nickels and y pennies?
Total value, 100 nickels and 150
pennies (dollars):
Total value, x nickels and y pennies
(dollars):

Answers

Answer:

$6.50

0.05x + 0.01y

Step-by-step explanation:

There are 100 pennies in a dollar. So each penny is 1/100 = $0.01

Each nickel is worth 5 pennies. So there are 20 nickels per dollar and therefore each nickel is worth 20/100 = $0.05

If you have 100 nickels, this works out to 0.05 x 100 = $5.00

If you have 150 pennies this works out to 0.01 x 150 = $1.50

Total value = 5 + 1.50 = $6.50

If you have x nickels and y pennies then that, inn dollar amount, would work out to

0.05x + 0.01y


Construct a triangle with sides
equal to a and b and and having angle c included as the angle

Answers

The triangle with sides a and b and angle c is added as an attachment

How to construct the triangle with the given properties

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

Triangles with the following properties

Side lengths = a and b

Angle between the side lengths = C

The above parameters mean that

Side length BC = aSide length AC = bVertex C = Angle C

Also, the other angles and sides can be derived from the above parameters

So, we have

Side length AB = cVertex A = Angle AVertex B = Angle B

Next, we construct the triangle

See attachment for the triangle

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Brendan deposited $3,967 in an account earning 5% interest compounded annually.
To the nearest cent, how much interest will he earn in 5 years?

Answers

The interest earned in 5 years is $1096.

What is interest?

Interest is the fee a business pays a lender (creditor) to borrow money.

Given that, Brendan deposited $3,967 in an account earning 5% interest compounded annually.

A = P(1+r/100)ⁿ

n = 5, r = 5% = 0.05, P = 3967 and a = amount earned

A = 3967(1+0.05)⁵

A = 3967(1.05)⁵

A = 5063

Interest earned = amount - principal

Interest = 5063-3967

Interest = $1096

Hence, Brendan earned $1096 as interest.

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Answer:

$1096.01

Step-by-step explanation:

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there is a multiple vehicle collision on the freeway. you arrive after the fire department and law enforcement have closed the freeway and secured the scene. you notice multiple patients that are lying on the ground with massive wounds and blood pooling. a few patients are sitting on the barrier, talking and appear to have minimal injuries. lastly, there are a few patients still in their vehicles, and you notice firefighters working on extricating them. you are the only emergency medical staff available at this moment and are assigned to triage the scene. you decide to give the patients sitting on the barrier a triage priority number of? as the inventory control manager for a group of retail stores, henry calls the doubleblue jeans warehouse when he needs to restock this product because the manufacturer stores all of its products there. another name for this warehouse would be a T/F? The size of the organization and the normal conduct of business may preclude a single large training program on new security procedures or technologies. listen to the excerpt. which of the following describe the coda from the first movement of beethoven's moonlight sonata? which does not? Kathryn Stockett wrote in The Help, Youd never know it living here, but Jackson, Mississippi, be filled with two hundred thousand peoples. What term BEST describes the technique being used by Stockett in this passage?A) Diction B) Syntax C)Characterization D)Sentence Structure Rowdy's Restaurants Cash Flow ($ in millions) Cash received from: Customers $1,800 Interest on investments 200 Sale of land 100 Sale of Rowdy's common stock 600 Issuance of debt securities 2,000Cash paid for: Interest on debt $ 300 Income tax 80 Debt principal reduction 1,500 Purchase of equipment 4,000 Purchase of inventory 1,000 Dividends on common stock 200 Operating expenses 500 Rowdy's would report net cash Inflows (outflows) from financing activities in the amount of Multiple Choice O $1.100 million O $820 million O $900 million O ($1,100) million a force of 40 n is needed to keep a 10-kg steel box sliding across a level floor with a constant velocity of 8 m/s. what is the net force on the box? A single loop of copper wire lying flat in a plane, has an area of 7.80 cm^2 and a resistance of 2.70 A uniform magnetic field points perpendicular to the plane of the loop. The field initially has a magnitude of 0.500 T, and the magnitude increases linearly to 3.50 T in a time of 1.10 s. What is the induced current (in mA) in the loop of wire over this time? select true or false: more energy is required to break a bond with an order of 3/2 than is required to break a bond of order 2. Find the lengths of segments AD and BD. Then check your answers using a different method. mrs. diaz has introduced the problem of school vandalism in a faculty meeting. she understands that there are multiple ways to address this problem and asks the faculty to consider the different possibilities for a discussion at the next meeting. however, one teacher, ms. villeroy, vehemently protests, stating that there is no need for creative guesswork. the only way to effectively address this problem is to expel students. from what type of thinking has ms. villeroy responded to mrs. diaz's request? A 1000-kilogram space vehicle travels at 5 meters per second along the level road. The magnitude of the normal force acting on the vehicle is approximately A) 1000N B) 5000N C) 10000N D) 50000N yosemite valley is considered one of the 7 wonders of the world. this photo illustrates which landform feature as evidence of past glaciation? A converging lens with a focal length of 40 cm and a diverging lens with a focal length of -40 cm are 160 cm apart. A 2.5 cm-tall object is 60 cm in front of the converging lens.Calculate the image position. cm in front of the second lens.Calculate the image height. President Truman thought an atomic bomb would kill far fewer people than a military invasion of Japan.A: true B: false which of the following is not one of the three main restructuring strategies? a. downsizing b. realigning c. leveraged buyouts d. downscoping what might be the possible mechanism for the effect of gymnema on the perception of taste assuming the prices of resoures a and b are 5 and 8 resoectively when the firm hires the profit maximizing combination of resources its ecnomomic profit will be 138 170 145 76 Read this excerpt. Note the verb tense in the sentence When I look into the small rectangle, I see a face looking back at me but I dont recognize it.There is a mirror over the steel sink in my cell. It's six inches high, and scratched with the names of some guys who were here before me. When I look into the small rectangle, I see a face looking back at me but I don't recognize it. It doesn't look like me. I couldn't have changed that much in a few months.Monster, Walter Dean MyersWhich choice shows the same sentence properly written in past tense?When I look into the small rectangle, I saw a face looking back at me but I dont recognize it.When I looked into the small rectangle, I see a face looked back at me but I didnt recognize it.When I looked into the small rectangle, I saw a face looking back at me but I didnt recognize it.When I look into the small rectangle, I saw a face looked back at me but I didnt recognize it. which of the following is true about the concept of power distance, as it is explained in the video lectures? group of answer choices