The formula A 6s2 gives the surface area A of a cube with a side length s. What is the surface area of a cube that has a side length of 5 inches?

Answer:

250%

Step-by-step explanation:

Let initial Markup % = x

Sales price = 100% + x = (1 + x)%

50% off sale = (1+x)% - (1+x)% /2

Final price after 50% off sale = 1 + 0.75 = 1.75

Hence,

50% off sale = 75% price markup

0.5(1 + x) = 1.75

0.5 + 0.5x = 1.75

0.5x = 1.75 - 0.5

x = 1.25 / 0.5

x = 2.5

Hence, Markup on initial price should be 1.25 = (2.5 * 100%) = 250%

In the given map, the approximate area of the Central Park is 450 blocks

Froom the question, we are to determine the approximate area of the central park.

The park is a rectangular park and the approximate area of the park can be calculated by using the formula for calculating the area of a rectangle.

If Central Park is about 50 blocks long by 9 blocks wide, we can find its approximate area by multiplying the length and width:

Area = Length x Width

Area = 50 x 9

Area = 450

Hence, the approximate area of Central Park is 450 blocks.

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Answer:

pir^2 = Area of Circle

Step-by-step explanation:

A circle is formed by all points in a plane that are at a particular distance from the center and the area of a circle is equal to pi squared times the radius (A = π r²).

All points in a plane that are at a specific distance from a specific point, the center, form a circle.

In other words, it is the curve that a moving point in a plane draws to keep its distance from a specific point constant.

The radius of a circle is the separation between any point on the circle and its center.

The radius must typically be a positive integer.

A degenerate situation is a circle with a radius equal to zero (one point).

Except when otherwise specified, this article discusses circles in Euclidean geometry, namely the Euclidean plane.

A circle's area is equal to pi times the radius squared (A = π r²).

Therefore, a circle is formed by all points in a plane that are at a particular distance from the center and the area of a circle is equal to pi squared times the radius (A = π r²).

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The z score that separate the middle 56% of the distribution from the area in the tails of the standard normal distribution is ±0.77.

Given that the z score separates the 56% of the distribution from the area in the tails of the standard normal distribution.

In a normal distribution in with mean μ and standard deviation σ, the z score of a measure X is as under:

Z=(X-μ)/σ

It is used to measure how many standard deviations the measure is from the mean.

After finding the z score we have to look at the z score table and find the p value associated with this z score, which is the percentile of X.

The normal distribution is symmetric which means that the middle 56% is between the 11th and 67th percentile. Looking at the z table the z scores are Z=±0.77.

Hence the z score that separate the middle 56% of the distribution from the area in the tails of the standard normal distribution is ±0.77.

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Answer:

Okay so the answer would be 8 cups

Step-by-step explanation:

the reason this is is because if you combine the cups its 2 2/3 so then all you have to do is multiply it by 3 and then your answer is 8 cups of sugar

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

Explanation:

Chords EF and HG are the same length (16 units). This means that they are the same distance away from the center point Q.

Based on that we know segments QA and QB are the same length.

Let's find x.

QA = QB

7x-6 = 4x+3

7x-4x = 3+6

3x = 9

x = 9/3

x = 3

From that we can find...

Both segments are 15 units each to confirm we have the correct x value.

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

Now draw a segment from point Q to point G.

This forms right triangle QBG.

The leg BG is half of chord HG, so BG = 0.5*16 = 8 units

We just found QB and it is 15 units.

Use the pythagorean theorem to find the hypotenuse QG

a^2 + b^2 = c^2

(BG)^2 + (QB)^2 = (QG)^2

8^2 + 15^2 = (QG)^2

289 = (QG)^2

(QG)^2 = 289

QG = sqrt(289)

QG = 17 is the radius

Answer: 21.9 units

Step-by-step explanation:

Each right angle indicates that a right triangle is formed due to geometry theorems.

In short, below are the steps to take to solve this problem:

1) You have to note that each pair with the bisectors can form a right angle triangle. After that, you can use Pythogoreas' theorem to solve finally for radius of Q.

2)

4²+ (4x+3)²= (7x-6)²+4²

(4x+3)= (7x-6)

x=3

4x+3=15

15²+16²=r²

r=21.9 units

Answer:

If we multiply equation 2 with -6 and add both equations, we can eliminate variable y. The equation is given and solved below.

Step-by-step explanation:

The equations given are:

12x+6y=120

4x+y=30

We need to find How can you change one equation so that one variable is eliminated when the two  equations are added?

Let:

\(12x+6y=120--eq(1)\\4x+y=30--eq(2)\)

If we multiply equation 2 with -6 and add both equations, we can eliminate variable y.

Solving

\(12x+6y=120\\-24x-6y=-180\\---------\\-12x+0y=-60\\-12x=-60\\x=\frac{-60}{-12}\\x=5\)

So, we eliminated the variable y and found the value of x.

Now Putting value of x in any of above equations we can find value of y.

\(4x+y=30\\4(5)+y=30\\y=30-20\\y=10\)

So, we get value of y=10

Answer:

12

Step-by-step explanation:

6/9 tells you that you need 2/3 of matirial per drape

so 12 x 2/3 gets you 8

12 yards of matirial for 8 drapes

When solving this equation you would need 12 drapes for 8 pairs

Steps for solving this equation:

Step One: 9÷6=1.5

1.5 for each pair of drapes, so if we have eight drapes we need to multiply 1.5 by 8.

Step Two: 1.5*8=12

ANSWER: 12 drapes

The statements that are true for Larry's Auto Shop, with regards to the fixed cost and variable cost of the organization is the option A.

A. Statement I and II are true

A fixed cost of production is a cost that remains the same as the production level changes. The basic infrastructure, rent, salaries, insurance, and taxes on the property are associated with the fixed cost of the organization.

The possible equation for the total cost for Larry, obtained from a similar question in the internet;

T = 50 + 10·q²

Where;

q = The quantities of repairs made by Larry's Auto Shop

I. When 0 repairs are produced, the variable cost is 0, therefore, the fixed cost = The total cost = 50 + 10 × 0² = 50

The fixed cost = The total cost

II. The above equation used to calculate the total cost = the fixed cost when 0 repairs are produced, indicates that the fixed cost = $50

III. The fixed cost is a fixed amount which remains the same for all amount of output produced, therefore, the the statement Larry Auto Shop's fixed cost depends on the level of output that is produced.

The possible statements in the question are;

I. When Larry's Auto Shop produces 0 repairs, its fixed cost equals its total cost

II. Larry's Auto Shop's fixed cost is equivalent to $50

III. The fixed cost of Larry Auto Shop depends on the level of output that is produced.

The options are;

(A) I and II are true

(B) I and III are true

(C) I, II, and III are true

(D) Statement I is true

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All people come very close to being able to float in water. therefore, 0.007 is the volume (in cubic meters) of a 50-kg woman.

Correct answer will be a. 0.007

The volume of a person in water is determined by their body density and the amount of air in their lungs. The volume can be estimated using the principle of buoyancy, which states that a body floating in a fluid is buoyed up by a force equal to the weight of the fluid displaced by the body.

In this case, we are given the weight of a 50-kg woman and asked to determine her volume in cubic meters. To do this, we can use the formula for buoyancy: Fb = ρf * V * g, where Fb is the buoyant force, ρf is the density of the fluid (water), V is the volume of the woman, and g is the acceleration due to gravity.

Since the woman is floating, the buoyant force is equal to her weight, so we can set these two equal to each other: ρf * V * g = 50 kg * 9.8 m/s^2. Solving for V, we find that V = 50 kg / (ρf * g) = 50 kg / (1000 kg/m^3 * 9.8 m/s^2) = 0.005 m^3.

Comparing this answer to the options given, we can see that the closest option is 0.007 m^3 (choice a), which is our final answer.

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Answer attached as picture with explanation. Please check.

Answered by Benjemin

brainly won't let me type my answer out so i'll just put it in the comments, sorry if it's inconvenient.

Answer:

the answer would be (3, -2) hope this helps! :)

Step-by-step explanation:

To minimize expected costs,  that course of action that he should  take is option (2) He can call in a specialist local engineering company. They will charge $20 000 to carry out the repair and they estimate that there is a 30% chance that they will be able to return the machine to working order in 2 days. There is, however, a 70% chance that repairs will take 4 days.

To determine the course of action with the lowest expected cost, we need to calculate the expected costs associated with each option and choose the option with the lowest expected cost.

Option 1

If the machine is returned to the supplier, the company will incur a cost of $3200 per day for 10 days, which is a total cost of 10 x $3200 = $32,000. Since the supplier will repair the machine free of charge, there are no additional repair costs. Therefore, the total expected cost for option 1 is $32,000.

Option 2

If the local engineering company is called in, there is a 30% chance that the machine will be repaired in 2 days and a 70% chance that repairs will take 4 days. Therefore, the expected repair time is

0.3 x 2 + 0.7 x 4 = 3.4 days

The cost of the repair is $20,000, and the company will incur additional costs of $3200 per day for the expected repair time of 3.4 days, which is a total cost of 3.4 x $3200 = $10,880. Therefore, the total expected cost for option 2 is $20,000 + $10,880 = $30,880.

Option 3

If the factory engineer attempts to repair the machine, there is a 50% chance that it will be repaired in 5 days. If the repair is not successful, there is a 25% chance that a second attempt will be successful in 2 additional days. If the second attempt is also unsuccessful, the local engineering company will be called in and repairs will take 3.4 days on average, as calculated above for option 2. Therefore, the expected repair time for option 3 is

0.5 x 5 + 0.25 x (5 + 2) + 0.25 x (5 + 2 + 3.4) = 5.35 days

The cost of attempting the repair is $0, but the company will incur additional costs of $3200 per day for the expected repair time of 5.35 days, which is a total cost of 5.35 x $3200 = $17,920. Therefore, the total expected cost for option 3 is $17,920.

Based on these calculations, the engineer should choose option 2, which has the lowest expected cost of $30,880.

Therefore, correct option is (2) He can call in a specialist local engineering company. They will charge $20 000 to carry out the repair and they estimate that there is a 30% chance that they will be able to return the machine to working order in 2 days. There is, however, a 70% chance that repairs will take 4 days.

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The given question is incomplete, the complete question is:

A Large Machine In A Factory Has Broken Down And The Company That Owns The Factory Will Incur Costs Of $3200 For Each Day The Machine Is Out Of Action. The Factory’s Engineer Has Three Immediate Options. Option 1: He Can Return The Machine To The Supplier Who Has Agreed To Collect, Repair And Return It Free Of Charge, But Not To Compensate The Company For

A large machine in a factory has broken down and the company that owns the factory will incur costs of $3200 for each day the machine is out of action. The factory’s engineer has three immediate options.

Option 1: He can return the machine to the supplier who has agreed to collect, repair and return it free of charge, but not to compensate the company for any losses they might incur while the repair is being carried out. The supplier will not agree to repair the machine if any other person has previously attempted to repair it. If the machine is returned, the supplier will guarantee to return it in working order in 10 days’ time.

Option 2: He can call in a specialist local engineering company. They will charge $20 000 to carry out the repair and they estimate that there is a 30% chance that they will be able to return the machine to working order in 2 days. There is, however, a 70% chance that repairs will take 4 days.

Option 3: He can attempt to carry out the repair work himself, and he estimates that there is a 50% chance that he could mend the machine in 5 days. However, if at the end of 5 days the attempted repair has not been successful he will have to decide whether to call in the local engineering company or to make a second attempt at repair by investigating a different part of the mechanism. This would take 2 further days, and he estimates that there is a 25% chance that this second attempt would be successful. If he fails at the second attempt, he will have no alternative other than to call in the local engineering company. It can be assumed that the probability distribution for the local engineering company’s repair time will be unaffected by any work which the factory engineer has carried out. 168

Assuming that the engineer’s objective is to minimize expected costs, what course(s) of action should he take?

The price at which the total quantity supplied is 250 is $11.58.

In order to find the price at which the total quantity supplied is 250, we need to equate the total quantity supplied by both producers (Supply 1 and Supply 2) and solve for the price.

Supply 1: P = 6 + 0.7Q

Supply 2: P = 16 + 0.6Q

To find the equilibrium price, we set the total quantity supplied equal to 250:

0.7Q + 0.6Q = 250

1.3Q = 250

Q = 250 / 1.3 ≈ 192.31

Now that we have the quantity, we can substitute it back into either supply function to find the price. Let's use Supply 1:

P = 6 + 0.7Q

P = 6 + 0.7 * 192.31

P ≈ 6 + 134.62

P ≈ 140.62

Therefore, the price at which the total quantity supplied is 250 is approximately $11.58.

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The 25th number in the arithmetic sequence is 197.

The sequence starts with the number 5 and counts by 8s. To find the 25th number in the sequence, we need to find the number that comes after the 24th number.

To do this, we can use the formula for the nth term of an arithmetic sequence, which is given by the formula:

aₙ = a₁ + (n - 1)d

In this case, a₁ is the first term of the sequence (5), n is the number of terms (25), and d is the common difference (8). Plugging these values into the formula, we get:

a₂₅ = 5 + (25 - 1) * 8

Simplifying this expression, we get:

a₂₅ = 5 + 24 * 8
    = 5 + 192
    = 197

Therefore, the 25th number in the sequence is 197.

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Answer:

no sé xdxd espero te ayude xd

Answer:

The graph should go left 3 not right 3.

Plane AB intersects the sphere at a distance of 7″ from center O.

Let r be the radius at the intersection of plane and sphere.

Area at the intersection = πr²

Given area at the intersection = 576π

πr² = 576π

r² = 576

Let R be the radius of the sphere.

R² = r²+7²

R² = 576+49

R= 25

Volume of the sphere = (4/3)πR³ = (4/3)π(25)³ = 65449.85

Ans: 65449.85 in³

a) The exponential equation to model the value of the car (V) as a function of time (t) can be written as V = 25000 * (0.88)^t, where t represents the number of years and 0.88 is the depreciation factor due to the 12% annual depreciation.

b) After 5 years, the car will be worth approximately $14,693.53.

a) To model the value of the car as a function of time, we can use the formula for exponential decay, where the initial value (V₀) is $25,000 and the decay factor (a) is 0.88 (representing the 12% annual depreciation).

Therefore, the exponential equation can be written as V = V₀ * a^t, which translates to V = 25000 * (0.88)^t.

b) To calculate the value of the car after 5 years, we substitute t = 5 into the equation:

V = 25000 * (0.88)^5

V ≈ 25000 * 0.5848

V ≈ 14,693.53

Hence, after 5 years, the car will be worth approximately $14,693.53.

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The solution for the equation would be (-4,-16) as the definition of solution of equation says "A number that can be entered for the variable to produce a true number statement is the solution to an equation".

A number that can be entered for the variable to produce a true number statement is the solution to an equation. One-step equations can be solved in four different ways: by adding, subtracting, multiplying, and dividing. In an equation, both sides will remain equal if we add the same amount to each side. Systems of equations can be solved using one of three techniques: graphing, substitution, or elimination. Simply plot the given equations on a graph and locate the point(s) where they all intersect to solve a system by graphing. You can find the values of the variables you are solving for by finding the coordinate of this point.

The equation is,

y=4x

x+y=-20

x+4x=-20

5x=-20

x=-4

y=-4*4

y=-16

(x,y)=(-4,-16)

According to the definition of solution of equation, "A number that can be entered for the variable to produce a true number statement is the solution to an equation," the answer to the equation would be (-4,-16).

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Answer:

A

Step-by-step explanation:

I think

The value of m in the proportion is 5/78.

What is proportion?

The size, number, or amount of one thing or group as compared to the size, number, or amount of another. The proportion of boys to girls in our class is three to one.

To solve for m in the proportion:

1/2/3/5 = 13m

We can simplify the left-hand side of the equation by multiplying the first fraction by the reciprocal of the second fraction, and multiplying the third fraction by the reciprocal of the fourth fraction. This gives:

(1/2) ÷ (3/5) = 13m

(1/2) × (5/3) = 13m (using the rule a/b ÷ c/d = a/b × d/c)

5/6 = 13m

To isolate m, we can divide both sides of the equation by 13:

5/6 ÷ 13 = m

m = 5/78

Therefore, the value of m in the proportion is 5/78.

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Answer:

a

Step-by-step explanation:

Determine the amount of sales she made that month

a. The total amount of sales is Ksh 450,000

b. Her commission in february is  Ksh 34,480

Total earning is Ksh 43,860

a) Jane's total earnings in January were Ksh 48,000, and her base salary is Ksh 20,000. This means that she earned an additional Ksh 28,000 in commissions.

Since her commission rate is 8% for sales in excess of Ksh 100,000, we can calculate the amount of sales she made in January by first calculating the sales over which she got a commission.

Ksh 28,000 is 8% of the sales over Ksh 100,000. So we can set up the following equation and solve for the sales:

0.08 * sales = 28,000

Solving for sales:

sales = 28,000 / 0.08 = Ksh 350,000

Since she only earns a commission on sales in excess of Ksh 100,000, the total amount of sales she made in January would be:

Ksh 100,000 (no commission threshold) + Ksh 350,000 (sales over the threshold) = Ksh 450,000

b) i) If her total sales in February increased by 18%, her sales in February were:

1.18 * Ksh 450,000 = Ksh 531,000

But remember, she only gets a commission on sales over Ksh 100,000. So the sales that will earn a commission in February are:

Ksh 531,000 - Ksh 100,000 = Ksh 431,000

Her commission in February is 8% of this amount:

0.08 * Ksh 431,000 = Ksh 34,480

ii) If her sales in March then dropped by 25%, her sales in March were:

0.75 * Ksh 531,000 = Ksh 398,250

The sales that will earn a commission in March are:

Ksh 398,250 - Ksh 100,000 = Ksh 298,250

Her commission in March is 8% of this amount:

0.08 * Ksh 298,250 = Ksh 23,860

So, her total earnings in March (her base salary plus her commission) would be:

Ksh 20,000 + Ksh 23,860 = Ksh 43,860

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Step-by-step explanation:

floor = 12*10= 120 sq ft

rug = r² = 9 Пr2

120-9π = 91.74 sq ft

Answer:

20ft

Step-by-step explanation:

The height at which the ladder touch the wall when the ladder is 30 feet long, and the ladder is 10 feet from the base of the wall is 20√2 feet.

If ABC is a triangle with AC as the hypotenuse and angle B with 90 degrees then we have:

\(|AC|^2 = |AB|^2 + |BC|^2\)

where |AB| = length of line segment AB. (AB and BC are rest of the two sides of that triangle ABC, AC being the hypotenuse).

Consider the diagram below.

We've got:

The wall is usually perpendicular to ground, therefore making 90° angle with it. Thus, ABC is a right angled triangle.

Using Pythagoras theorem in it, we get:

\(|AC|^2 = |AB|^2 + |BC|^2\\\\30^2 = |AB|^2 + 10^2\\|AB|^2 = 900 - 100\\\\|AB|^2 = 800\\\\\text{Taking sq. root of both the sides}\\\\|AB| = \sqrt{800} = \sqrt{ (\pm 20\sqrt{2})^2}\\\\|AB| = \pm 20\sqrt{2} \: \rm ft\)

But as length cannot be a negative quantity, so we get:

\(|AB| = 20\sqrt{2} \: \rm ft\)

Thus, the height at which the ladder touch the wall when the ladder is 30 feet long, and the ladder is 10 feet from the base of the wall is 20√2 feet.

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The number of calories burned y after x minutes of kayaking is

You should know when we eat and drink more calories than we use up, our bodies store the excess as body fat. If this continues, over time we may put on weight

For kayaking Linear function is y=4.5x

In 45 minute means  x=45

so, y=4.5x

45*45

= 20.25

That means in kayaking will  burnt 20.25 calories in 45

minutes

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Answer:

:c

Step-by-step explanation:

are know men sorry

These lines will be parallel to the initial line and will intersect the final velocity line at the corresponding values (122 for the lower estimate and 298 for the upper estimate)

To sketch the velocity against time, you can take the following steps:

First, calculate the acceleration using the given data by using the formula;

acceleration = (final velocity - initial velocity)/time

Where; Initial velocity is the velocity before applying the brakes

Final velocity is the velocity at which the car comes to stop

Time is the time it takes to stop the car (6 seconds in this case)

Now, calculate the lower and upper estimates using the formula;

Lower estimate = initial velocity + (acceleration x time)

Upper estimate = initial velocity + (2 x acceleration x time)

Sketch the graph using the following steps;

On the vertical axis, plot the velocity of the car

On the horizontal axis, plot the time

Start from the initial velocity and draw a straight line with the calculated acceleration until the end of the time (6 seconds)This straight line will give you the final velocity (0 in this case)

Now, draw two more lines, one with the lower estimate and the other with the upper estimate

Finally, label the axes and the lines with their corresponding values.'

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Without knowing what the dropdown list shows for reasons, it's hard to pinpoint exactly what is expected here.

Angle ACD is congruent to angle BCD because they are corresponding angles between the congruent triangles ∆ACD and ∆BCD.

The triangle congruency is due to angle-angle-side (AAS) similarity:

• angles A and B are congruent - this is given

• angles CDB and CDA are congruent right angles - this is implied by the given detail that CD and AB are perpendicular

• the leg CD is common to both triangles, and CD is of course congruent to itself (reflexive property)

So angles ACD and BCD are congruent, which means they have the same measure, so by definition of angle bisector, CD bisects angle ACB.

QED