10. Lin says that a solution to the equation 2x – 6 = 7x must also be a solution to the
equation 5x – 6 = 10x.

Write a convincing explanation about why this is true.

Answer:

Thats what i got too :)

Step-by-step explanation:

You have the correct answer. It is 80.3 square yards.

Work Shown:

Area of parallelogram = length*width = 21.5*33.6 = 722.4 sq ft

1 yard = 3 ft

1 sq yd = 9 sq ft ... square both sides

To convert from square feet to square yards, we'll divide by 9

This is the same as multiplying by 1/9

722.4 sq ft = (722.4 sq ft)*(1 sq yd/9 sq ft)

722.4 sq ft = (722.4)*(1/9) sq yards

722.4 sq ft = 80.2667 sq yards

722.4 sq ft = 80.3 sq yards

Step-by-step explanation:

3³⁸ - 3³⁷

= 3³⁷(3 - 1)

= 2 * 3³⁷

= 2 / [3^(-37)].

Hence x = -37.

Answer:

"Theorem 106: If the slopes of two lines are opposite reciprocals of one another, or the product of their slopes is −1, then the lines are nonvertical perpendicular lines." - www.cliffsnotes.com

Answer:

Step-by-step explanation:

10^12

2)10x10=100

1)100x10=1,000

1)1,000x10=10,000

1)10,000x10=100,000

1)100,000x10=1,000,000

1)1,000,000x10=10,000,000

1)10,000,000x10=100,000,000

1)100,000,000x10=1,000,000,000

1)1,000,000,000x10=10,000,000,000

1)10,000,000,000x10=100,000,000,000

1)100,000,000,000x10=1,000,000,000,000

The value of 10^12 is 1,000,000,000,000 or 1 trillion.

hope it helps!

The amount that Blake should have invested is $28875.38

Compound interest is the interest calculated on the principal and the interest accumulated over the previous period. It is different from simple interest, where interest is not added to the principal while calculating the interest during the next period.

Given here: Interest rate=5.7% compounded daily

Let p be the principal that Blake needs to invest

76000=P(1+5.7%/365)³⁶⁵ ˣ ¹⁷

76000=P(1.000156)⁶²⁰⁵

P=$28875.38

Thus Blake should have invested $28875.38

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Answer:

The number 10/2 = 5 is an integer.

Step-by-step explanation:

An integer is a whole number which cannot be expressed in fractions. For example, 1, 2, 3...

Integer can be positive,  negative of zero.

\(\frac{10}{2}=5\)

It is a whole number so it is an integer.

- 0.3

It is not an integer as it has a fractional part.

\(\sqrt20\)

It also has a fractional part, so it is not an integer.

0.4

It also has a fractional part, so it is not an integer.

a. Based on the estimated demand function, the relationship between good X and good Y is that they are substitute goods. This means that as the price of good X increases, the quantity demanded of good Y increases.

b. Based on the estimated demand function, good X is a normal good. This is because the coefficient of M (consumer income) is positive (0.003M). When consumer income increases, the quantity demanded of good X also increases. This positive relationship indicates that good X is a normal good, as consumers are willing to buy more of it when they have higher income.

c. To derive the simplified demand function (quantity demanded as a function of price), we substitute the given values into the demand function. Given that consumer income M is $40,000 and the price of good Y (Py) is $25, the simplified demand function becomes:

Qxd = 200 - 5Px + 0.003(40) - 4(25)

= 200 - 5Px + 0.12 - 100

= -5Px + 100.12

So, the simplified demand function is Qxd = -5Px + 100.12.

d. To derive the inverse demand function, we solve the simplified demand function for Px:

Qxd = -5Px + 100.12

-5Px = Qxd - 100.12

Px = (Qxd - 100.12) / -5

To calculate the demand price for 100 units of the good, we substitute Qxd = 100 into the derived inverse demand function:

Px = (100 - 100.12) / -5

= -0.12 / -5

= 0.024

The demand price for 100 units of the good is 0.024. This represents the price at which consumers are willing to purchase 100 units of the good.

e. To derive the simplified supply function (quantity supplied expressed as a function of price), we substitute the given values into the supply function. Given that PI = $20 and F = 15, the simplified supply function becomes:

QXS = -80 + 12Px - 6(20) + 7(15)

= -80 + 12Px - 120 + 105

= 12Px - 95

So, the simplified supply function is QXS = 12Px - 95.

f. To derive the inverse supply function, we solve the simplified supply function for Px:

QXS = 12Px - 95

12Px = QXS + 95

Px = (QXS + 95) / 12

The minimum price at which the producer will supply any of the good X at all is when QXS is equal to zero. Substituting QXS = 0 into the inverse supply function:

Px = (0 + 95) / 12

= 95 / 12

= 7.92

So, the minimum price at which the producer will supply any of the good X is $7.92.

g. To determine the equilibrium price and quantity of good X, we need to equate the demand function and the supply function. Setting Qxd equal to QXS and solving for Px:

-5Px + 100.12 = 12Px - 95

Rearranging the equation:

17Px = 195.12

Px = 195.12 / 17

Px ≈ 11.48

Substituting the equilibrium price (Px) back into either the demand or supply function, we can find the equilibrium quantity (Q):

Qxd = -5(11.48) + 100.12

= 45.6

Therefore, the equilibrium price is approximately $11.48, and the equilibrium quantity is approximately 45.6 units.

h. If the price in the market is $15, it is below the equilibrium price of $11.48. This means that the price is lower than what the market would naturally settle at. As a result, there would be excess demand in the market. Consumers would want to buy more goods at the lower price, but producers would be unwilling to supply the quantity demanded at that price. This situation may lead to shortages, as the quantity demanded exceeds the quantity supplied.

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Answer:

15 hour(s) and 30 minute(s).

Step-by-step explanation:

Answer:

krkrkrl4k3?8999kekek

Step-by-step explanation:

the UK. I have been a while. I have been a while. I have been a while. I have been a while 6e5 the UK. I have been a while. I have been a while. I have

. How do we have a look at the moment. The comments for the first time in the UK. I

Yes , there can be a Right triangle with two side lengths as simple fraction and other side length as an integer .

In the question ,

we have to find , whether a Right Triangle can be made by two fractions and an integer length .

yes, we can make a Right Triangle with two lengths as fractions and other length as integer .

let us prove it with the help of an example .

Consider the triplet 7 , 24 , 25 .

let the two fractions side be 7/25 and 24/25 , and the hypotnuse of the right triangle be  1 .

We know that for the Right Triangle

(side1)² + (side2)² = hypotnuse²

(7/25)² + (24/25)² = 1²

49/625 + 576/625 = 1

(49+576) / 625 =1

625/625 = 1

1 = 1

hence ,it is a Right Triangle .

Therefore , Yes , there can be a Right triangle with two side lengths as simple fraction s and other side length as an integer .

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Answer:

Check the explanation below please! :)

Step-by-step explanation:

"It is provided that the students has to select new colors for the hats and the pants of the marching band uniforms.

The color options for each item are: yellow (Y), green (G), or black (B).

The sample space for the color selection of hats and pants is:

Sample Space

Hats        Pants

Y              Y

Y              G

Y              B

G              Y

G              G

G              B

B              Y

B              G

B              B

There are a total of 9 possible selections."

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Answer:

\(x = 18^o\)

Step-by-step explanation:

The vertically opposite angle \(2x\) must be equal to the original 36 degrees.

So,

\(2x = 36^o\\\implies x = \frac{36^o}{2}\\\implies x = 18^o\)

It is reasonable for Stacy to use a normal model for the sampling distribution of the sample proportion. This is because, according to the Central Limit Theorem,

when the sample size is large enough (typically considered to be at least 30), the sampling distribution of the sample proportion will be approximately normal, regardless of the shape of the population distribution.

In Stacy's case, she plans on surveying a random sample of students, which implies that she will have a sufficiently large sample size. Therefore, the conditions for using a normal model are satisfied.

In conclusion, Stacy can use a normal model for the sampling distribution of the sample proportion in her survey for the final project.

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Answer: Total number of males= C

Step-by-step explanation:

Answer:

121.92

Step-by-step explanation:

There's 121.92 centimeters in 4 feet.

Hope this helps! :^)

Answer:

J. All real numbers

we get the graph of the quadratic function by plotting the points on the graph paper.

We are given the quadratic function as:

f (x) = x²

We need to graph the function and find the values of the function for some given points of x.

For x = - 2, we get that:

f (x) = x²

f (- 2) = (- 2)²

f (- 2) = 4

For x = - 1, we get that:

f (x) = x²

f (- 1) = (- 1)²

f (- 1) = 1

For x = 0, we get that:

f (x) = x²

f (0) = (0)²

f (0) = 0

For x = 1, we get that:

f (x) = x²

f (1) = (1)²

f (1) = 1

For x = 2, we get that:

f (x) = x²

f (2) = (2)²

f (2) = 4

Plotting these points on the graph, we obtain the graph of the quadratic function.

Therefore, we get the graph of the quadratic function by plotting the points on the graph paper.

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Answer:

-10

Step-by-step explanation:

Difference means to subtract

(-4) - 6

-4 - 6

-10

I hope this is what you are looking for.

Answer:

The answer to this question is -10 because when you put -4-6 you get -10 and so the answer is -10!

Consuelo deposited an amount of money in a savings account that earned 6. 3% simple interest. After 20 years , she had earned $5’922 in interest then the initial deposit was $4700

Use the simple interest formula

I = P r t

where I = simple interest

P = principal

r= rate of interest

t= number of years

5922=Px6.3%x20

5922=Px1.26

P=5922/1.26

P=4700

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To solve for the diameter and radius of a cone with a volume of 8 and a height of 6, we need to use the formulas for the volume and surface area of a cone.

The volume of a cone is given by the formula:

V = 1/3 * π * r^2 * h

where V is the volume, r is the radius, h is the height, and π is the mathematical constant pi (approximately 3.14).

We know that the volume is 8 and the height is 6, so we can plug these values into the formula and solve for the radius:

8 = 1/3 * π * r^2 * 6

r^2 = 8/(π*6/3)

r^2 = 4/π

r = √(4/π)

r ≈ 0.798

The radius is approximately 0.798.

To find the diameter, we simply multiply the radius by 2:

d = 2 * r

d ≈ 1.596

Therefore, the diameter is approximately 1.596 and the radius is approximately 0.798.

The correct answer is D: A and B ( Accounts receivable and cost goods )

Accounts receivable represents the amount of money owed to a company by its customers for goods or services that have been delivered but not yet paid for. As sales increase, the amount of accounts receivable also tends to increase since more customers will have outstanding balances.

Cost of goods sold (COGS) represents the direct costs associated with producing or purchasing the goods that are sold by a company. It includes the cost of raw materials, labor, and other direct expenses. As sales increase, the COGS also tends to increase since more goods are being produced or purchased for sale.

COGS is directly influenced by the level of sales because it is tied to the inventory turnover. When goods are sold, their associated costs are transferred from the inventory account to the COGS account. As sales increase, more goods are sold, and therefore, more costs are transferred to COGS.

COGS is calculated by subtracting the ending inventory value from the sum of the beginning inventory and the purchases made during a specific period. It is a key component in determining a company's gross profit and gross profit margin, which are important indicators of profitability.

On the other hand, administrative salaries (option c) typically do not vary directly with sales. Administrative salaries are usually fixed expenses that are paid to employees for their administrative roles regardless of the level of sales.

Therefore, the correct answer is option d. A and B, as both accounts receivable and cost of goods sold vary with sales.

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Answer:

See below

Step-by-step explanation:

Are you asking for the equation?

y = 2.5x + 20  

y = the total cost

x = number of movies.

Answer:

71

Step-by-step explanation:

The correct option is B) Not valid. Consider the statement “Since some shoes are sneakers, some non-sneakers are non-shoes.”

We know that all sneakers are shoes, but all shoes are not sneakers.  Hence, some shoes are sneakers. But, this statement does not imply that “some non-sneakers are non-shoes.” This inference cannot be drawn by contraposition. So, it is not valid.Inferences cannot be drawn in contraposition all the time. Contraposition is a type of logical statement that involves reversing and negating the terms of an original proposition. It is a logical relationship between a proposition and its converse. If a proposition is true, the contrapositive is always true.An example of contraposition can be shown as follows:“If a person is a human, then they are mortal.”We can write the contrapositive of this statement as:“If a person is not mortal, then they are not human.”

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Answer:

DE = 6.3 units

Step-by-step explanation:

A segment joining the midpoints of 2 sides of a triangle, that is DE

Is one half the measure of the third side, that is

DE = 12.6 ÷ 2 = 6.3

Answer:

Step-by-step explanation:

The question is incomplete. Here is the complete question.

Find the angle between the given vectors to the nearest tenth of a degree.

u = <8, 7>, v = <9, 7>

we will be using the formula below to calculate the angle between the two vectors;

\(u*v = |u||v| cos \theta\)

\(\theta\) is the angle between the two vectors.

u = 8i + 7j and v = 9i+7j

u*v = (8i + 7j )*(9i + 7j )

u*v = 8(9) + 7(7)

u*v = 72+49

u*v = 121

|u| = √8²+7²

|u| = √64+49

|u| = √113

|v| = √9²+7²

|v| = √81+49

|v| = √130

Substituting the values into the formula;

121= √113*√130 cos θ

cos θ = 121/121.20

cos θ = 0.998

θ = cos⁻¹0.998

θ = 3.6° (to nearest tenth)

Hence, the angle between the given vectors is 3.6°

Answer:

Yes.

Step-by-step explanation:

A fourth degree function is defined as a function with a multiplicity of four. This can be done with any number distinct roots less than or equal to four. If the three distinct roots given must be the only roots, we can choose any of the roots to square and make the function a fourth degree polynomial. Otherwise, we can add another root to make a fourth degree polynomial. Either way, it's possible.

4 is the value of w which makes the equation true.

What is an equation?

It is given that,

3(−4w−5)=−7(5+w)

by solving the equation,

-12w-15=-35-7w

12w-7w=35-15

5w=20

w=20/5

∴w=4

Hence, 4 is the value of w which makes the equation true.

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