Tim wants to buy several pairs of jeans. He compares the prices at a store in his neighborhood and at an online store. He finds that a pair of jeans costs $24 at the local store. If he buys online, each pair would cost $22, and he would have to pay a shipping fee of $6 per order.

Part A
Complete the tables to relate the number of pairs of jeans to the cost of the jeans at each store. Assume that Tim is placing a single order, and ignore any taxes.

Part B
Look at the table that represents the local store. For each row in the table, find the ratio of the number of pairs of jeans to the cost of the jeans.

Part C
Are the ratios that you calculated in part B equivalent? Based on these ratios, what can you conclude about the relationship between the number of pairs of jeans that Tim buys at the local store and the cost?

Part D
Next, look at the table that represents the online store. For each row in the table, find the ratio of the number of pairs of jeans to the cost of the jeans.

Part E
Are the ratios that you calculated in part D equivalent? Based on these ratios, what can you conclude about the relationship between the number of pairs of jeans that Tim buys at the online store and the cost?

Part F
The local store where Tim shops charges a 7% sales tax for clothing. Complete the table by figuring the cost of the jeans after sales tax is applied. The first row has been done for you.

Part G
From part F, find the ratio of the number of pairs of jeans to the cost with sales tax for each row in the table.

Part H
Are the ratios that you calculated in part G equivalent? Show your work to support your answer. What does this tell you about the relationship between the number of pairs of jeans and the cost with sales tax applied?

please help with each question.

Here, x value of 8 would be located on the left tail of the normal distribution curve, 3.67 standard deviations below the mean (μ=22.3) and with a very low value in terms of percentile or probability (0.015%).

To indicate where the given x value of 8 would be on the curve, we need to plot it on a normal distribution curve with a mean (μ) of 22.3 and a standard deviation (σ) of 3.9.
First, we need to convert the given x value of 8 into a z-score by using the formula:  z = (x - μ) / σ
Plugging in the values, we get: z = (8 - 22.3) / 3.9 = -3.67
This means that the value of 8 is located 3.67 standard deviations below the mean.
Next, we need to find this point on the normal distribution curve. We can use a z-score table or a graphing calculator to find the corresponding area under the curve.
If we use a z-score table, we can look up the area to the left of -3.67, which is 0.00015. This means that only 0.015% of the data falls below this point.
To plot this on the curve, we can locate the mean (μ) and mark it as the center of the curve. Then, we can count 3.67 standard deviations to the left of the mean and mark this as the point where the value of 8 would be located.

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Answer:8

Step-by-step explanation:if it is 4/5 per hour then you mulitply 4/5 x 10

and 4/5=.8

     .8 x 10=8

Answer:

90

Step-by-step explanation:

2^a=√64   2^a=8   a=3

b/3=3   b=3*3   b=9

a²+b²=3²+9²=9+81=90

If a production function satisfies the condition that multiplying the inputs by a positive number results in multiplying the output by the same number, then the production function can be written in the form of the Cobb-Douglas production function, where output (Y) is equal to a constant (A) multiplied by a function of capital per labor (k).

The condition states that if we multiply the inputs, K and L, by any positive number, the output, Y, is also multiplied by the same number. This implies that the production function exhibits constant returns to scale, where increasing the scale of inputs proportionally increases the scale of output.

In the Cobb-Douglas production function, the output (Y) is expressed as the product of a constant factor (A), the total factor productivity, and a function of capital (K) and labor (L) raised to certain exponents. The exponents, denoted as a and (1-a), determine the elasticity of output with respect to capital and labor, respectively.

Given the condition that multiplying inputs by a positive number results in multiplying output by the same number, we can deduce that the exponents in the Cobb-Douglas production function must sum up to 1. This ensures that increasing capital and labor in a proportional manner leads to a proportional increase in output.

Therefore, the production function can be written as y = A • f(k), where y represents output per unit of labor (Y/L), and k represents capital per unit of labor (K/L). This form aligns with the Cobb-Douglas production function and captures the property of constant returns to scale.

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The value of the function k(t) for the t = 3 will be 28.

A certain kind of relationship called a function binds inputs to essentially one output.

A function can be regarded as a computer, which is helpful.

The machine will only accept specified inputs, described as the function's domain, and will potentially produce one output for each input.

In other words, the function is a relationship between variables, and the nature of the relationship defines the function for example y = sinx and y = x +6 like that.

Given the function,

k(t)=10t−2.

Now t = 3

k(3) = 10(3) - 2

k(3) = 30 - 2

k(3) = 28

Hence "The value of the function k(t) for the t = 3 will be 28".

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Answer:

8.57 explanation:

Step-by-step explanation: If Quan gets 210 dollars every 24 hours and you want to find the amount he gets every hour all you have to do is do 210 divided by 24 which you will get 8.75. So every hour he gets $8.75 every hour for his work

Answer: His Hourly rate will be $8.75.

Answer:

28 and 12 . (QUORA)

Step-by-step explanation:

Let’s write this down. We are looking for X and Y.

The difference between two numbers is 16: −=16

Three times the larger number is seven times the smaller:  ∗3=∗7

So, we need to solve X and Y from these two equations.

If we re-arrange X*3 = Y*7, we get Y = X*3/7.

So, −∗3/7=16 .  −∗3/7  is the same as  7∗/7−3∗/7 , or  4∗/7 . So  4∗/7=16−>4∗=7∗16−>=7∗4=28 .

Then we just go back to  −=16 , and  =28 , gives us  28−=16,  or  =28–16−>=12 .

So the numbers are 28 and 12.

Answer:

look it up i need my coins

Step-by-step explanation:

Answer:

Anymore clues?

Step-by-step explanation:

The tank can hold up to average 90,000 gallons of water, since it is already filled with 54,000 gallons and 60% of that is food.

Volume = πr2h

= 3.14 x (15 feet)2 x 18 feet

= 15,444.4 cubic feet

15,444.4 cubic feet x 7.48 gallons/cubic feet = 115,511.17 gallons

115,511.17 gallons - 54,000 gallons = 61,511.17 gallons

61,511.17 gallons + 54,000 gallons = 115,511.17 gallons

115,511.17 gallons is the total capacity of the tank.

The tank is able to hold up to 90,000 gallons of water, since it already contains 54,000 gallons and 60% of that is food. This means that the tank can still hold up to 36,000 gallons of water, giving it a total capacity of 90,000 gallons. This is possible because the tank is in the shape of a cylinder, which means that the volume of the tank is determined by the formula V = πr2h, where V is the volume, r is the radius, and h is the height. This means that the tank can be adjusted accordingly to increase or decrease the amount of water it can hold. In this case, the tank is able to hold up to 90,000 gallons of water because the capacity of the tank is determined by the size of its radius and height, and can be adjusted accordingly to increase or decrease the amount of water it can hold.

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The argument presented is an example of a fallacy known as affirming the consequent, which incorrectly assumes that if the consequent of a conditional statement is true, then the antecedent must also be true. It fails to consider other possibilities and overlooks the fact that not all square shapes are cubes.

The argument presented is an example of a fallacy known as affirming the consequent, which is a formal logical fallacy. This fallacy occurs when one assumes that if the consequent (the "then" part) of a conditional statement is true, then the antecedent (the "if" part) must also be true.

In this case, the argument incorrectly assumes that because all cubes are square (if cube, then square) and a dice is a cube, then the dice must be square. However, this reasoning is flawed. While it is true that all cubes are square, not all square shapes are cubes. Therefore, even though a dice is a cube, it does not necessarily mean that it must be square.

The argument fails to consider other possibilities, such as the fact that cubes can have other shapes besides squares, like rectangular cubes. This logical error highlights the importance of careful reasoning and avoiding fallacies when making arguments.

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The value of m which is an additive inverse of 58 is -58.

Additive inverse is what you add to a number to make the sum zero. When two numbers are added together to get 0, then we say both the numbers are additive inverses of each other.

Since m is the additive inverse of 58, hence:

m + 58 = 0m = -58

The additive inverse of 58 is -58.

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It should be noted that the relationship between the balance and the number of withdrawals is linear, because there is a constant amount of $10 per withdrawal.

To confirm this, we can calculate the differences in balance for each pair of withdrawals:

Between withdrawals 3 and 2: 170 - 140 = 30

Based on the information, the starting amount is $200.

The equation to illustrate the withdrawal will be:

= 200 - 10w

where w = withdrawal.

These differences are constant, which means the rate of change of the balance is constant too.

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The derivative of the given integral with respect to x is 2x * sin(x⁶) - 1.

What is integration?

Integration is a mathematical operation that is the reverse of differentiation. Integration involves finding an antiderivative or indefinite integral of a function.

To solve this problem, we need to use the fundamental theorem of calculus and the chain rule.

Let's start by applying the fundamental theorem of calculus, which states that if F(x) is the antiderivative of f(x), then the integral of f(x) from a to x is equal to F(x) - F(a). In other words:

∫[a,x] f(t) dt = F(x) - F(a)

In this case, we have:

F(x) = ∫[0,x²] sin(t³) dt

So, applying the fundamental theorem of calculus, we get:

d/dx [∫[0,x²] sin(t³) dt] = d/dx [F(x) - F(0)]

Now, we need to apply the chain rule to find d/dx [F(x)]. Let's define a new function g(u) = ∫[0,u] sin(t³) dt. Then, we have:

F(x) = g(x²)

Using the chain rule, we get:

d/dx [F(x)] = d/dx [g(x²)] = g'(x²) * d/dx [x²] = 2x * g'(x²)

Substituting this back into the previous equation, we get:

d/dx [∫[0,x²] sin(t³) dt] = 2x * g'(x²) - F'(0)

To find g'(u), we can use the fundamental theorem of calculus again:

g'(u) = d/du [∫[0,u] sin(t³) dt] = sin(u³)

Substituting this back into the previous equation, we get:

d/dx [∫[0,x²] sin(t³) dt] = 2x * sin(x⁶) - cos(0) = 2x * sin(x⁶) - 1

Therefore, the derivative of the given integral with respect to x is 2x * sin(x⁶) - 1.

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Answer:

Option (b) second one is the correct answer

Answer:

because the line has a slope of 0, you know that it is horizontal

therefore, the equation is y=-8

Step-by-step explanation:

The chords, inscribed angles, and central angles in the figure has been identified below.

A chord is a line segment that has both endpoints that lies on the circumference of a circle.

An inscribed angle can be defined as an angle that is formed by two chords in a circle, and having its vertex on the circumference of the circle.

A central angle is an angle that has its vertex at the center of the circle and it is formed by two radii of the circle.

1. The chords in the circle are: DE and EF

Inscribed angle is: angle DEF

Central angle are: angle DCF

2. The chords in the circle are: RS, ST, and SU

Inscribed angle are: angles STR, SRT, SRT, and RSU

Central angle are: angles TCU, SCT, SCR, and RCU

3. The chords in the circle are: DG and EF

Inscribed angle are: angles DGF and GEF

Central angle is: none

4. The chord in the circle is: AE

Inscribed angles are: none

Central angle is: angles DCE, ACB, BCE, and BCD

5. m<DGE = 1/2(84)

m<DGE = 42°

6. m<EFD = 1/2(84)

m<EFD = 42°

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Answer:

yzx and tus

Step-by-step explanation:

The current ages of the two brothers are A = 25 and B = 30.

To solve the problem, let's denote the current ages of the two brothers as A and B, where A is the older brother and B is the younger brother.

From the given information, we have three time points to consider: 20 years ago, the present, and 20 years from now. Let's analyze each of these time points:

20 years ago:

At this time point, the ratio of their ages was 1:2. This can be expressed as (A-20)/(B-20) = 1/2.

Present:

Currently, the ratio of their ages is 5:6. This can be expressed as A/B = 5/6.

20 years from now:

In the future, the ratio of their ages will be 9:10. This can be expressed as (A+20)/(B+20) = 9/10.

Now, we have three equations based on the given information. We can solve this system of equations to find the ages of the brothers.

Equation 1: (A-20)/(B-20) = 1/2

Equation 2: A/B = 5/6

Equation 3: (A+20)/(B+20) = 9/10

Solving this system of equations will yield the values of A and B, representing the current ages of the two brothers.

2(A-20) = B-20

2A - 40 = B - 20

2A - B = 20

Now, let's solve the system of equations using a method like substitution

From Equation 2, we have A/B = 5/6. We can rewrite it as A = (5/6)B.

Substituting this value of A into Equation 1:

2((5/6)B) - B = 20

(10/6)B - B = 20

(4/6)B = 20

(2/3)B = 20

B = (3/2) × 20

B = 30

Now, we can substitute the value of B back into Equation 2 to find A:

A/B = 5/6

A/30 = 5/6

A = (5/6) × 30

A = 25

Therefore, the current ages of the two brothers are A = 25 and B = 30.

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Answer:

The answer is D

Step-by-step explanation:

I just took the test three times and it was correct

Answer:

Step-by-step explanation:

if g(x)=3x-8

replace x with -2

g(-2)=3(-2)-8=-6-8=-14

Answer:

a = -15, b = -.5, c = -1

Step-by-step explanation:

1/3a = -5 --> multiply each side with 3 --> a = -15

12 - b = 12.5 --> subtract 12 from both sides --> -b = .5 --> multiply each side with -1 to get b positive --> b = -.5

.1 = -10c --> multiply each side with -10 --> c = -1

Answer:

Step-by-step explanation:

The second one

By unitary method, Marissa can hike 7/3 miles in an hour.

A single unit's value can be determined from the values of multiple units, and multiple units' values can be determined from the values of single units using the unitary method.

Given:

\(1\frac{3}{4}\) = 7/4miles are hiked in 3/4 hours.

To find: the number of miles hiked in one hour

Finding:

By unitary method,

Miles hiked in 3/4 hours = 7/4

Miles hiked in 1 hour = 7/4(4/3) = 7/3

Hence, by unitary method, Marissa can hike 7/3 miles in an hour.

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The answer to work for part a) is 2. The value that is used in hypothesis testing to compare a test statistic to the rejection region is known as a critical value. The critical value differs depending on the level of significance selected for the test and the test’s degree of freedom.

The value that is used in hypothesis testing to compare a test statistic to the rejection region is known as a critical value. The critical value differs depending on the level of significance selected for the test and the test’s degree of freedom. For this particular question, the critical value can be calculated using the Z-distribution formula since the sample size is greater than or equal to 30.

Thus, the answer to work for part a) is 2.

Explanation: Given that the population standard deviation is known to be 1.28 screens, The sample size is 89 with a sample mean of 10.59 screens. The hypothesis test can be represented as follows:

H0: µ ≤ 5 Ha: µ > 5

To determine whether there is sufficient evidence to conclude that the mean number of screens per household is greater than 5, a Z-test can be used. The test statistic is calculated as follows:

Z = (X - µ) / (σ / sqrt(n))

Where X = 10.59,

µ = 5,

σ = 1.28,

n = 89.

Substituting the values in the above equation, we get

Z = (10.59 - 5) / (1.28 / sqrt(89))

= 33.97

Since the alternative hypothesis is one-tailed, the critical value for the test can be calculated using the Z-distribution formula as follows:

Critical value = Zα

where α is the level of significance. For instance, for a 5% level of significance, α = 0.05, and the corresponding critical value is 1.64. Since the calculated test statistic is greater than the critical value, the null hypothesis can be rejected at a 5% level of significance.

Hence, there is sufficient evidence to conclude that the mean number of screens per household is greater than 5.

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2,092.1 is the population of the town after 5 years, and P(t)=2500*(1-0.035)^t is the exponential function.

In mathematics, exponential decay defines the process of diminishing an amount by a consistent percentage rate over a period of time.

It can be stated by the formula y=a(1-b)x wherein y is the total form and is the initial money, b is the decay factor, and x is the quantity of time that has passed.

So, we got:

r = 3.5%/100% = 0.035

We have our exponential function:

P(t) = 2500*(1 - 0.035)^t

The number after 5 years is provided by substituting t = 5, we will get:

P(5) =  2500*(1 - 0.035)^5 = 2,092.1

Therefore, 2,092.1 is the population of the town after 5 years, and P(t) = 2500*(1 - 0.035)^t is the exponential function.

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Correct question:
The population of the town is 2500 and is decreasing at a rate of 3.5% per year. Write an exponential decay function to find the population of the town after 5 years

Answer: A. h(x) = 1/4x - 2

Step-by-step explanation:

f(x) = 4x + 8

find the inverse...

A.

\(h(x) = \frac{1}{4} x-2\)

\(f(x) = 4(\frac{1}{4} x-2)+8\)

\(f(x)=x-8+8\)

\(f(x)=x\)  

\(h(x) = \frac{1}{4} (4x+8)-2\)

\(h(x)=x+2-2\)

\(h(x)=x\)

Since they both come out to 'x', they are inverses of each other.

f(x) = 4x + 8 and h(x) = 1/4x - 2 are inverses

As per the information provided, a = 4√3/3 + 4, b = 4 - 4√3/3 the answer can be calculated with optimization method. it will be as follows:

Sum of a and b is 8, we get

a+b=8

b=8−a

Now, let x=a−b

Then we get,

\(x=a−(8−a) \\ x=2a−8 \\ x+8=2 \\ 1 \div 2x+4=a

\)

we use this to answer to solve for b

\(b=8−a \\ =8−(1 \div 2x+4) \\ =4−1 \div 2x

\)

Now we use the product of two numbers and its difference. This can be expressed as:

\(a⋅b⋅x=(1 \div 2x+4)(4−1 \div 2x) \\ x=2 {x}^{2} − \frac{1}{4} {x}^{3} +16x−2x^{2} \\ =−14x^{3} +16x

\)

Thus, this expression that we need to maximize. Take the derivative, set it equal to zero, and solve for x

\(−3 \div 4x ^{2} +16=0 \\ 16 =3 \div 4 x ^{2} \\ 643=x \\ 28√3 \div 3=x\)

Now for us to check that this is a maximum, we have to note that the second derivative is

\(−3 \div 2x

\\ At \\

x=8√3 \div 3

\)

the second derivative is −4√3. Since this number is negative, the point is a maximum.

Now we must find the values of a and b for this x. We have to use the relationship

\(a=1 \div 2x+4\)

\(a=1 \div 2 \times 8√3 \div 3+4 \\ =4√3 \div 3+4\)

now we use the relationship b=8−a

\(b=8−(4√3 \div 3+4) \\ =4−4√3 \div 3\)

The first step in determining a function's maximum or minimum value is differentiating it. Then, set this derivative to zero and conduct the computation.

x. This will reveal the location of a function's maximum or minimum, but it won't reveal which.

Take the second derivative to get more details. A local maximum occurs when both the first and second derivatives are negative. You have a local minimum when both the first derivative and the second derivative are zero.

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Answer: You have a 1/6 chance to roll a 2 when you role a dice since there is 6 sides

Step-by-step explanation: