Which of the following is equivalent to −2(5p − 2q)?

−10p + 4q
−10p − 2q
−7p + 4q
−7p − 4q

Answer:

No solution is possible from the information provided.

Step-by-step explanation:

Answer:

maybe

Step-by-step explanation:

l o l

XD

Answer:

(625 • (x4)) -  28y4

 54x4 -  28y4 3.1      Factoring:  625x4-256y4  

Theory : A difference of two perfect squares,  A2 - B2  can be factored into  (A+B) • (A-B)

Proof :  (A+B) • (A-B) =

        A2 - AB + BA - B2 =

        A2 - AB + AB - B2 =

        A2 - B2Note :  AB = BA is the commutative property of multiplication.

Note :  - AB + AB equals zero and is therefore eliminated from the expression.

Check :  625  is the square of  25  

Check : 256 is the square of 16

Check :  x4  is the square of  x2  

Check :  y4  is the square of  y2  

Factorization is :       (25x2 + 16y2)  •  (25x2 - 16y2)  3.2      Factoring:  25x2 - 16y2  

Check :  25  is the square of  5  

Check : 16 is the square of 4

Check :  x2  is the square of  x1  

Check :  y2  is the square of  y1  

Factorization is :       (5x + 4y)  •  (5x - 4y)this is the answer: (25x2 + 16y2) •(5x + 4y) • (5x - 4y)

The square of the length of the chord that is a common external tangent of the other two circles with radii of 3 and 6 is 45.

Given that circles of radii 3 and 6 are externally tangent to each other and internally tangent to a circle of radius 9. The circle of radius 9 has a chord that serves as a common external tangent for the other two circles. The task is to find the square of the length of this chord.

The distance between the centers of the circles of radii 3 and 6 can be found by adding their radii: d1 = 3 + 6 = 9 units.

Since the circles are internally tangent to the circle of radius 9, the distance between their centers can be found by subtracting their radii from the radius of the larger circle: d2 = 9 - 3 - 6 = 0 units.

The chord is a common external tangent of the circles, and its length can be found by doubling the distance between the center of the circle of radius 9 and the chord: Chord length = 2 × h.

To find the height (h) of the triangle formed by the chord and the center of the circle of radius 9, we can use the formula h = (r1 + r2 - R) / 2, where r1 and r2 are the radii of the smaller circles, and R is the radius of the larger circle. In this case, h = (3 + 6 - 9) / 2 = 0.
Since h is zero, it means that the chord passes through the center of the circle of radius 9. Therefore, its length will be the diameter of the circle of radius 9.

The square of the length of the chord can be found using the Pythagorean theorem. Let's denote the length of the chord as d.

- We know that r1 + h = R, so h = R - r1 = 9 - 3 = 6.

- Using the Pythagorean theorem: d = sqrt(R² - h²) = √(9² - 6²) = √(81 - 36) = √(45).

Therefore, the square of the length of the chord is d^2 = 45.

In summary, the square of the length of the chord that serves as a common external tangent for the circles of radii 3 and 6, and is internally tangent to a circle of radius 9, is 45.

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Answer:

i belive it is the first one.

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Answer: b

Step-by-step explanation: I took the test

Component 3 must be started on day 197 to meet the delivery date of day 200.

To illustrate the backward schedule, we need to start from the delivery date (day 200) and work our way backward, taking into account the lead times and dependencies of each operation.

(a) Backward schedule:

Operation    |  Work Center  |  Time (hours)  |  Start Day

--------------------------------------------------------

Final Assembly |   Work Center 1  |        1       |     200

Sub-assembly 1 |   Work Center 2  |        2       |     199

Component 4     |   Work Center 3  |        3       |     197

Component 2     |   Work Center 4  |        4       |     196

Component 3     |   Work Center 5  |        3       |     ????

(b) To identify when component 3 must be started to meet the delivery date, we need to consider its dependencies and lead times.

From the backward schedule, we see that component 3 is required for sub-assembly 1, which is scheduled to start on day 199. The time required for sub-assembly 1 is 2 hours, which means it should be completed by the end of day 199.

Since component 3 is needed for sub-assembly 1, we can conclude that component 3 must be started at least 2 hours before the start of sub-assembly 1. Therefore, component 3 should be started on day 199 - 2 = 197 to ensure it is completed and ready for sub-assembly 1.

Hence, component 3 must be started on day 197 to meet the delivery date of day 200.

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Answer:

trapezoid and half circle.

Step-by-step explanation:

Answer:

False

Step-by-step explanation:

The statement itself is wrong in the textbook is given that if a number is a rational then it si the additive inverse of the stsrement

Answer:

\(P( 2 \ green ) = \frac{4}{121}\)

Step-by-step explanation:

\(Probability \ of \ green \ i n \ the \ first \ try = \frac{2C_1}{11C_1} = \frac{2}{11}\\\\Probability \ of \green \ i n \ the \ Second \ try = \frac{2C_1}{11C_1} = \frac{2}{11}\\\\Probability \ of \ 2 \ green = \frac{2}{11} \times \frac{2}{11 } = \frac{4}{121}\)

Answer:

B. Yes, since the slopes are the same and the y-intercepts are different.

Step-by-step explanation:

yes; both have a slope of 3/7

Yes. They have the same slope.

are the y intercepts the same or different

different

The equilibrium price and quantity for each pair of demand and supply functions are as follows:

a. Q = 10 - 2P

To find the equilibrium, we set the quantity demanded equal to the quantity supplied:

10 - 2P = P

By solving this equation, we can determine the equilibrium price and quantity. Simplifying the equation, we get:

10 = 3P

P = 10/3 ≈ 3.33

Substituting the equilibrium price back into the demand or supply function, we can find the equilibrium quantity:

Q = 10 - 2(10/3) = 10/3 ≈ 3.33

Therefore, the equilibrium price is approximately $3.33, and the equilibrium quantity is also approximately 3.33 units.

b. Q = 1640 - 30P

Setting the quantity demanded equal to the quantity supplied:

1640 - 30P = P

Simplifying the equation, we have:

1640 = 31P

P = 1640/31 ≈ 52.90

Substituting the equilibrium price back into the demand or supply function:

Q = 1640 - 30(1640/31) ≈ 51.61

Hence, the equilibrium price is approximately $52.90, and the equilibrium quantity is approximately 51.61 units.

In summary, for the demand and supply functions given:

a. The equilibrium price is approximately $3.33, and the equilibrium quantity is approximately 3.33 units.

b. The equilibrium price is approximately $52.90, and the equilibrium quantity is approximately 51.61 units.

In the first paragraph, we summarize the steps taken to determine the equilibrium price and quantity for each pair of demand and supply functions. We set the quantity demanded equal to the quantity supplied and solve the resulting equations to find the equilibrium price. Substituting the equilibrium price back into either the demand or supply function allows us to calculate the equilibrium quantity.

In the second paragraph, we provide the specific calculations for each pair of functions. For example, in case a, we set Q = 10 - 2P equal to P and solve for P, which gives us P ≈ 3.33. Substituting this value into the demand or supply function, we find the equilibrium quantity to be approximately 3.33 units. We follow a similar process for case b, setting Q = 1640 - 30P equal to P, solving for P to find P ≈ 52.90, and substituting this value back into the function to determine the equilibrium quantity of approximately 51.61 units.

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Answer:

1.43 minutes to get same height

Step-by-step explanation:

Equation

180 - 8x = 160 + 6x

14x = 20

x = 1.43 minutes

Answer:

19

Step-by-step explanation:

|-7| +|-5| + 7 = 7+5+7= 19

If Angle M is y then,

Step-by-step explanation:

(6y) + (3y -6) + y = 180°

10y - 6 = 180

10y = 186

y= 18.6

Angle O = 3(18.6) - 6 = 49.8

Answer 49.8

I hope this helps!!!

Angle-Angle (AA) similarity postulate,  if two angles of one triangle are congruent to two angles of another, then the triangles are similar.

Similar triangles are the triangles that have corresponding sides in proportion to each other and corresponding angles equal to each other. Similar triangles look the same but the sizes can be different.

As per the diagram,

Triangles RPQ & RST are similar since

∠P = ∠S & ∠Q = ∠T

Side - side - side (SSS) similarity theorem - If the lengths of the corresponding sides of two triangles are proportional, then the triangles are similar.

Triangles RPQ & RST are similar since

RP/RS = RQ/RT = ST/PQ

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The research hypothesis posits that the more caffeine consumed by a subject, the longer a subject will stay awake (H1: rxy > 0). In this case, we are given the correlation coefficient r(10) = 0.653 and p < 0.05.

To interpret these results, we need to understand the correlation coefficient (r) and the p-value. The correlation coefficient measures the strength and direction of the relationship between two variables. In this case, it represents the relationship between caffeine consumption and staying awake.

The correlation coefficient ranges from -1 to 1. A positive value indicates a positive relationship, meaning that as one variable increases, the other variable also tends to increase. A negative value indicates a negative relationship, where as one variable increases, the other tends to decrease. The closer the value is to 1 or -1, the stronger the relationship.

In this case, the correlation coefficient is 0.653, which is positive. This suggests a moderate positive relationship between caffeine consumption and staying awake.

The p-value, on the other hand, measures the probability of obtaining the observed correlation coefficient (or a more extreme one) if the null hypothesis were true. The null hypothesis (H0) states that there is no relationship between caffeine consumption and staying awake.

In this case, we are given that p < 0.05. This means that the probability of obtaining a correlation coefficient as extreme as 0.653, or more extreme, under the assumption that there is no relationship, is less than 0.05. This is considered statistically significant.

Based on these results, we can conclude that there is a statistically significant positive relationship between caffeine consumption and staying awake. However, it's important to note that correlation does not imply causation. Other factors could be influencing the relationship, and further research would be needed to establish a causal relationship.

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Answer:

\(m=\frac{15}{8}\)

Step-by-step explanation:

\(-6\left(1-m\right)=9-2m\)

\(-6(1-m)=-6+6m\)

\(-6+6m=9-2m\)

Add 6 to both sides:-

\(-6+6m+6=9-2m+6\)

\(6m=-2m+15\)

Now, add 2m to both sides:-

\(6m+2m=-2m+15+2m\)

Divide both sides by 8:-

\(\frac{8m}{8}=\frac{15}{8}\)

\(m=\frac{15}{8}\)

-----------------------

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-----------------------

Answer:

your answer is m=15/8

The speed of the boat in still water and the speed of the current is 18 and 5 miles/hour respectively.

Define speed, distance and time.

A key idea in mathematics is time speed and distance. Questions like circular motion, boats and streams, mobility in a straight line, clocks, races, etc. frequently involve the concepts of time and distance.

Formula of speed distance and time is Distance/Time = Speed

Speed describes the distance traveled divided by the time required to cover the distance and indicates how quickly or slowly an object goes.

Given data -

Time to travel 299 miles downstream = 13 hours

Time to travel 299 miles upstream = 23 hours

Let the speed of the boat in still water = x miles/hour

Let the speed of the current = y miles/hour

Then, speed of the boat downstream = (x + y) miles/hour

And speed of the boat upstream = (x - y) miles/hour

According to the concept of speed, distance and time

As time to travel 299 miles downstream = 13 hours,

299 / (x + y) = 13

x + y = 23          --------- equation 1

Similarly, as time to travel 299 miles upstream = 23 hours

299 / (x - y) = 23

x - y = 13            ------------equation 2

By adding equation 1 and 2, we will get

2x = 36

x = 18

Substitute the value of x in equation 2, we will get

y = 5

The speed of the boat in still water = 18 miles/hour

The speed of the current = 5 miles/hour

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Answer:

7.9

Step-by-step explanation:

Answer:

\(y=-\frac{4}{5}x+\frac{74}{5}\)

Step-by-step explanation:

Hi there!

What we need to know:

1) Determine the slope (m)

\(y=\frac{5}{4} x-10\)

From the given equation, we can identify clearly that the slope of this line is

\(\frac{5}{4}\). The negative reciprocal of \(\frac{5}{4}\) is \(-\frac{4}{5}\), so therefore, the slope of the line we're currently solving for is \(-\frac{4}{5}\). Plug this into \(y=mx+b\):

\(y=-\frac{4}{5}x+b\)

2) Determine the y-intercept (b)

\(y=-\frac{4}{5}x+b\)

Plug in the given point (11,6) and solve for b

\(6=-\frac{4}{5}(11)+b\\6=-\frac{44}{5}+b\)

Add \(-\frac{44}{5}\) to both sides to isolate b

\(6+\frac{44}{5}=-\frac{44}{5}+b+-\frac{44}{5}\\\frac{74}{5} =b\)

Therefore, the y-intercept is \(\frac{74}{5}\). Plug this back into \(y=-\frac{4}{5}x+b\):

\(y=-\frac{4}{5}x+\frac{74}{5}\)

I hope this helps!

1. To determine the number of tubs John must sell per show to break even, we need to consider the fixed costs and the contribution margin per tub. The contribution margin is the difference between the selling price and the variable cost per tub.

In this case, the variable cost is the wholesale cost of $30 per tub. The contribution margin per tub is $80 - $30 = $50.  To calculate the break-even point, we divide the fixed costs by the contribution margin per tub:

Break-even point = Fixed costs / Contribution margin per tub

Break-even point = $900 / $50 = 18 tubs

Therefore, John must sell at least 18 tubs per show to break even.

2a. To earn a profit of $1,100 per show, we need to determine the sales volume in units necessary. The desired profit is considered an additional fixed cost in this case. We add the desired profit to the fixed costs and divide by the contribution margin per tub:

Sales volume for desired profit = (Fixed costs + Desired profit) / Contribution margin per tub

Sales volume for desired profit = ($900 + $1,100) / $50 = 40 tubs

Therefore, John needs to sell 40 tubs per show to earn a profit of $1,100.

2b. To determine the sales volume in dollars necessary to earn the desired profit, we multiply the sales volume in units (40 tubs) by the selling price per tub ($80):

Sales volume in dollars for desired profit = Sales volume for desired profit * Selling price per tub

Sales volume in dollars for desired profit = 40 tubs * $80 = $3,200

Therefore, John needs to achieve sales of $3,200 to earn a profit of $1,100 per show.

c. Income Statement (condensed version):

Sales Revene: 40 tubs * $80 = $3,200

Variable Costs: 40 tubs * $30 = $1,200

Contribution Margin: Sales Revenue - Variable Costs = $3,200 - $1,200 = $2,000

Fixed Costs: $900

Operating Income: Contribution Margin - Fixed Costs = $2,000 - $900 = $1,100

The condensed income statement confirms the answers from parts a and b, showing that the desired profit of $1,100 is achieved by selling 40 tubs and generating sales of $3,200.

3. The margin of safety represents the difference between the actual sales volume and the breakeven sales volume.

Margin of safety in sales dollars = Actual Sales - Breakeven Sales = $3,200 - ($50 * 18) = $2,300

Margin of safety in units = Actual Sales Volume - Breakeven Sales Volume = 40 tubs - 18 tubs = 22 tubs

Margin of safety as a percentage = (Margin of Safety in Sales Dollars / Actual Sales) * 100

Margin of safety as a percentage = ($2,300 / $3,200) * 100 ≈ 71.88%

Therefore, the margin of safety is $2,300 in sales dollars, 22 tubs in units, and approximately 71.88% as a percentage.

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Answer:

B. 11

Step-by-step explanation:

Set up a system of equations where a is the number of adults and c is the number of children

a + c = 87

8a + 5c = 468

Solve by substitution by rearranging the first equation, then substituting it in the second equation:

a = 87 - c

Substitute this for a in the second equation, then solve for c:

8(87 - c) + 5c = 468

696 - 8c + 5c = 468

696 - 3c = 468

-3c = -228

c = 76

Then, plug this into the first equation to solve for a:

a + c = 87

a + 76 = 87

a = 11

So, 11 adults attended the carnival.

The correct answer is B, 11

Answer:

p is goodvjlxhkjdgmdgjmdmthdmyj

Answer:

as a fraction?

27/25

or

1 2/25

Step-by-step explanation:

Answer:

y = -2x -4

Step-by-step explanation:

The equation of a line is y = mx + b, where m is the slope of the line, and b is the y-intercept.  We are told that the slope of the line is -2, so we can start with

y = mx + b

y = -2x + b

We can figure out the value of b by plugging in the coordinates of the point given (-2, 0)

0 = -2(-2) + b

0 = 4 + b

Subtract 4 from both sides of the equation

-4 = b

Then plug that value of b back into the equation above:

y = -2x + (-4) or y = -2x -4

Answer:

y=mx+c

we will find c

0=(-2)(-2)+c

c=-4

y=-2x+(-4)

y=-2x-4

2x+y+4=0