a bike wheel. the weight of a full steel bead tire is approximately 800 grams, while a lighter wheel weighs only 700 grams. what is the weight of each tire in pounds? there are 453.592 grams in one pound. round answers to 2 decimal places.

The trigonometric equation that matches the graph is A. y = 2sin(x/2) + 1

A trigonometric equation is the equation of a trigonometric ratio.

The general form of a sine graph is y = AsinBx + C where

WE now pick points on the graph and substitute it into the equation.

At (0,1), we have

y = AsinBx + C

1 = AsinB(0) + C

1 = Asin(0) + C

1 = A(0) + C

1 = 0 + C

C = 1

Also, form the graph, the period T = 4π.

So, B = 2π/T = 2π/4π = 1/2

So, y = AsinBx + C

y = Asin(x/2) + 1

At x = π, y = 3. So, substituting these into the  equation, we have

y = Asin(x/2) + 1

3 = Asin(π/2) + 1

3 = A(1) + 1

3 = A + 1

A = 3 - 1

A = 2.

So, substituting A into the equation, we have

y = Asin(x/2) + 1

y = 2sin(x/2) + 1

So, the equation is A. y = 2sin(x/2) + 1

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Answer:

x = 31

So 2x-7 = 55

x + 4 = 35

Step-by-step explanation:

\(2x-7+x+4=90\\3x-3=90\\3x=93\\x=31\)

The probability that the entire batch of 6500 write-rewrite CDs will be accepted, given that 170 are defective and 6 are randomly selected for testing, is approximately 0.859 or 85.9%.

To find the probability that the entire batch of 6500 write-rewrite CDs will be accepted using acceptance sampling, we need to consider the number of defective CDs in the batch and the number of CDs selected for testing.

Given that the batch consists of 6500 CDs and 170 of them are defective, we know that the remaining 6500 - 170 = 6330 CDs are non-defective.

Now, if we randomly select 6 CDs for testing, we want to determine the probability that all 6 CDs are non-defective. To calculate this probability, we need to use the hypergeometric distribution.

The hypergeometric distribution calculates the probability of obtaining a specific number of successes (in this case, non-defective CDs) from a finite population (the entire batch) without replacement.

Using the hypergeometric distribution formula, the probability of selecting 6 non-defective CDs can be calculated as follows:

P(X = 6) = (C(6330, 6) * C(170, 0)) / C(6500, 6)

where C(n, r) represents the number of combinations of selecting r items from a set of n items.

Evaluating this expression, we find:

P(X = 6) = (C(6330, 6) * C(170, 0)) / C(6500, 6) ≈ 0.859

Therefore, the probability that the entire batch of CDs will be accepted is approximately 0.859, or 85.9%.

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The Exact number of \($$P_{9,2}$$\) is \(72\)

The Exact number of \($$C_{7,5} $$\) is \(21\)

An exact number is a value that is known with complete certainty. In other words, an exact number has zero uncertainty and an infinite number of significant figures. An exact number cannot be simplified or reduced.

Examples of exact numbers included counted numbers, defined units, and defined unit conversions. Many exact numbers are integers, but some are decimals. Here are specific examples.

Here we have to compute \($P_{9,2}$\) means

\(P_{1,5} & =\frac{7 !}{(7-5) !}\)

\(P_{9,2} & =\frac{9 !}{(9-2) !}\)

\(=\frac{9 !}{7 !}=\frac{9 \times 8 \times 7 !}{7 !}\)

\(P_{9,2} & =7 \times 8=72\)

Hence \($P_{9,2}$\) \(=72\)

Here we have to compute \($C_{7,5}$\) means

Combination \($(7,5)$\)

\($$\begin{aligned}& \left(\begin{array}{l}7 \\5\end{array}\right)=\frac{7 !}{(7-5) ! 5 !}=\frac{7 * 6 * 5 !}{2 ! * 5 !} \\& =\frac{7 * 6}{2 * 1}=21\end{aligned}$$\)

Hence

\($$C_{7,5}=21$$\)

Therefore, the Exact number of P9,2. is 72 and C7,5. is 21.

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The time-series model that assumes that demand in the next period will be equal to the most recent period's demand is A) Naive approach.

This model is based on the simplest assumption of all, that the next period's demand will be equal to the current period's demand. It is called the naive approach because it assumes no underlying pattern in the data and provides a baseline prediction. The formula for the naive approach is as follows:

y(t) = y(t-1) where y(t) represents the demand in period t and y(t-1) represents the demand in the previous period.

Although this model is simple, it is often used as a benchmark for comparison with more complex models and can provide reasonable results for stable demand patterns.

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Yes, because as x increases, y increases and because all of the pairs represent the same ratio.

When two sets of provided numbers change in proportion, the ratios are said to be directly proportional if they do so in the same direction.

If two ratios or fractions are equivalent, it may be shown using the proportion formula. By dividing the supplied numbers, we may determine the value that is missing. You may write the percentage formula as a: A and d are the extreme terms, and b and c are the middle terms, according to the formula b::c: d = a/b = c/d.

Yes, because as x increases, y increases.

Yes, because all of the pairs represent the same ratio.

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After considering the given data we conclude that the answer for the given sub question regarding combination are
a) the number of different groups of 10 employees that can be selected is 14,307,292
b) the number of possible groups of 10 employees that consist only of employees who either take public transit or drive to work is 77
c) employees who take public transit is 66
d) employees who drive to work is 11
e) employees that do not include anyone who takes public transit is 184,756
f) employees that do not include anyone who drives to work is 352,716
g) employees that consist of at least one person who drives to work is 14,054,576
h) employees that consist of at least one person who drives to work is 14,054,576
i) employees that consist of 5 people who take public transit and 5 people who drive to work is 365,904
j) employees that consist of 4 people who take public transit, 3 people who drive to work, and 3 people who do neither is 6,270,840

a) This is a combination problem, where the order of selection does not matter. The formula for the number of combinations of n objects taken r at a time is \(nCr = n! / (r! * (n-r)!)\), where n is the total number of objects and r is the number of objects being selected. In this case, there are 32 employees and we want to select 10 of them, so the number of different groups of 10 employees that can be selected is:
\(32C10 = 32! / (10! * (32-10)!) = 14,307,292\)

b) We can add the number of groups that consist only of employees who take public transit to the number of groups that consist only of employees who drive to work. To find the number of groups that consist only of employees who take public transit, we can choose 10 employees from the 12 who take public transit. Similarly, to find the number of groups that consist only of employees who drive to work, we can choose 10 employees from the 11 who drive to work. Therefore, the number of possible groups of 10 employees that consist only of employees who either take public transit or drive to work is:
\(12C10 + 11C10 = 66 + 11 = 77\)

c) We can choose 10 employees from the 12 who take public transit, so the number of possible groups of 10 employees that consist entirely of employees who take public transit is:
\(12C10 = 66\)

d) We can choose 10 employees from the 11 who drive to work, so the number of possible groups of 10 employees that consist entirely of employees who drive to work is:
\(11C10 = 11\)

e) We can choose 10 employees from the 20 who either drive to work or do neither, so the number of possible groups of 10 employees that do not include anyone who takes public transit is:
\((20C10) = 184,756\)
f) We can choose 10 employees from the 21 who either take public transit or do neither, so the number of possible groups of 10 employees that do not include anyone who drives to work is:
\((21C10) = 352,716\)

g) We can subtract the number of possible groups of 10 employees that do not include anyone who takes public transit from the total number of possible groups of 10 employees. Therefore, the number of possible groups of 10 employees that consist of at least one person who takes public transit is:
\(32C10 - 20C10 = 14,122,536\)

h) We can subtract the number of possible groups of 10 employees that do not include anyone who drives to work from the total number of possible groups of 10 employees. Therefore, the number of possible groups of 10 employees that consist of at least one person who drives to work is:
\(32C10 - 21C10 = 14,054,576\)

i) We can choose 5 employees from the 12 who take public transit and 5 employees from the 11 who drive to work. Therefore, the number of possible groups of 10 employees that consist of 5 people who take public transit and 5 people who drive to work is:
\(12C5 * 11C5 = 792 * 462 = 365,904\)

j) We can choose 4 employees from the 12 who take public transit, 3 employees from the 11 who drive to work, and 3 employees from the 9 who do neither. Therefore, the number of possible groups of 10 employees that consist of 4 people who take public transit, 3 people who drive to work, and 3 people who do neither is:
\(12C4 * 11C3 * 9C3 = 495 * 165 * 84 = 6,270,840\)
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Each side of cube is 100 cm.

In Maths or in Geometry, a Cube is a solid three-dimensional figure, which has 6 square faces, 8 vertices and 12 edges. It is also said to be a regular hexahedron.

Given that,

Volume of cube = 1 cubic meter

We know that,

1 m = 100 cm

Also  volume of cube = \(a^{3}\)

Then,

Volume of cube = 1000000 cm

                   \(a^{3}\)  = \(100^{3}\)

                   a = 100 cm

Hence, Each side of cube is 100 cm.

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Answer:

75%

Step-by-step explanation:

It's over 50% and it's definitely not 100%

Answer:

B. -1

Step-by-step explanation:

Let's solve your equation step-by-step.

−4x+7=2x+13

Step 1: Subtract 2x from both sides.

−4x+7−2x=2x+13−2x

−6x+7=13

Step 2: Subtract 7 from both sides.

−6x+7−7=13−7

−6x=6

Step 3: Divide both sides by -6.

−6x/−6 = 6/−6

x=−1

Answer:

-13

Step-by-step explanation:

f(x)=-3-10

f(x)=-13

Answer:

-13

Step-by-step explanation:

if x=-1 then 3x=-3-10=-13

Answer:

helloooooo

Step-by-step explanation:

Answer:

48 ounces

Step-by-step explanation:

16 x 3 is 48,so there is your answer.Hope it helps!

Answer:

Its 50/50 with T or B I say the answer is B

Step-by-step explanation:

Answer:

The first option (the uppermost) is correct.

Step-by-step explanation:

When you multiply 1/2 by 3/4, you obtain the result of (1x3) / (2x4).

Simplifying, this gives us the result: 3/8, which is represented by the first choice.

Let me know if this helps!

Using translation concepts, it is found that the change from f(x) to g(x) can be described in two ways:

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction either in it’s definition or in it’s domain. Examples are shift left/right or bottom/up, vertical or horizontal stretching or compression, and reflections over the x-axis or the y-axis.

In this problem, the parent function is:

f(x) = -x - 5.

The function g(x) is:

g(x) = -x - 2.

The change from f(x) to g(x) can be described in two ways:

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Answer:

Step-by-step explanation:

Interest amount is:

(note 7.5/12 is the monthly interest rate)

Answer:

I think it's 50....

Step-by-step explanation:

I added 21 for the base plus 9 for one side, 8 for the other side plus another 9 for the top and added 3

So 21 + 9 + 8 + 9 + 3 = 50

I hope it's right

The income elasticity of demand is positive, implying that chocolate is a normal good = 0.037

The demand function, Q = 54−5P + 4PA + 0.1Y.

Where Q is the quantity of chocolate demanded, P is the price of chocolate, PA is the price of an apple, and Y is income.

(i) The own-price elasticity of demand for chocolate, we first need to find the expression for it.

The own-price elasticity of demand can be expressed as:

Own-price elasticity of demand = (Percentage change in quantity demanded) / (Percentage change in price)Or,E

P = (ΔQ / Q) / (ΔP / P)E P = dQ / dP * P / Q

Let's calculate the own-price elasticity of demand:

EP= dQ / dP * P / Q= (-5) / (54 - 5P + 4PA + 0.1Y) * 3 / 30

= -0.1667

So, the own-price elasticity of demand for chocolate is -0.1667.

(ii) The cross-price elasticity of demand, we must first determine the expression for it.

The cross-price elasticity of demand can be expressed as:

Cross-price elasticity of demand

= (Percentage change in quantity demanded of chocolate) / (Percentage change in price of apples) Or, E

PA = (ΔQ / Q) / (ΔPA / PA)E PA = dQ / dPA * PA / Q

Let's calculate the cross-price elasticity of demand:

EP = dQ / dPA * PA / Q= (4) / (54 - 5P + 4PA + 0.1Y) * 2 / 30= 0.0296

So, the cross-price elasticity of demand is 0.0296.

(iii) The income elasticity of demand can be expressed as:

Income elasticity of demand = (Percentage change in quantity demanded) / (Percentage change in income)Or,E

Y = (ΔQ / Q) / (ΔY / Y)E Y = dQ / dY * Y / Q

Let's calculate the income elasticity of demand: EY = dQ / dY * Y / Q= (0.1) / (54 - 5P + 4PA + 0.1Y) * 100 / 30

= 0.037

The own-price elasticity of demand is negative, meaning that the quantity demanded of chocolate decreases when the price of chocolate increases.

The cross-price elasticity of demand is positive, indicating that chocolate and apples are substitute goods.

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For C we get

C = (A-b)/εm

Substract your y-intercept from the absorbance and divide by the slope

Beer's law, or Beer-Lambert law, is a relation between the concentration, degree of attenuation, optical path length, and absorbance of a solution. This law is often employed in the analysis of chemicals as it is a straightforward relation. The law was named after August Beer and Johann Heinrich Lambert.

The basic idea here is to use a graph plotting Absorbance vs. Concentration of known solutions. Once you have that you can compare the absorbance value of an unknown sample to figure out its concentration.

You will be applying Beer's law to calculate the concentration.

The equation for Beer's law is: A = εmCl

(A=absorbance, εm = molar extinction coefficient, C = concentration, l=path length of 1 cm)

You should have a data set which was used to create a standard curve. The graph should plot concentration (independent variable) on the x-axis and absorption (dependent variable) on the y axis.

You'll need to add a line of best fit to the data points and determine the equation for the line. The equation should be in y=mx + b form.

y = absorbance (A)

Note: no unit for absorbance

x = concentration (C)

Note: unit is M or mol/L

m = (εm) = slope or the molar extinction coefficient in beers law which has units of \(M^-^1cm^-^1\)

So A = εmC +b

If you solve for C you should get

C = (A-b)/εm

So if you substract your y-intercept from the absorbance and divide by the slope, you are finding the concentration of your sample.

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The given question is incomplete, So we take the similar question:

How do you calculate concentration from absorbance?

The size of the externality can be either positive or negative, and it is measured as the difference between the social cost and the private cost of a good or service.

A positive externality occurs when the production or consumption of a good or service creates benefits for third parties that are not reflected in the market price. For example, when a farmer plants trees, they provide a benefit to society by reducing air pollution. The social cost of planting trees is the cost to the farmer, but the private cost is lower because the farmer does not have to pay for the benefits to society. The size of the externality in this case is the difference between the social cost and the private cost.

A negative externality occurs when the production or consumption of a good or service creates costs for third parties that are not reflected in the market price. For example, when a factory pollutes the air, it creates a cost for society in the form of respiratory problems and other health problems. The social cost of the factory's pollution is the cost to society, but the private cost is lower because the factory does not have to pay for the costs to society. The size of the externality in this case is the difference between the social cost and the private cost.

The size of the externality can be difficult to measure, but it is important to do so in order to design policies that correct for externalities. For example, a government might impose a tax on a good with a negative externality, or it might provide a subsidy for a good with a positive externality.

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Answer:

Answer

4.9/5

345

author link

audreyburkett12

   Ambitious

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Assuming the time changes at a constant rate, the equation for this is linear (so has the equation y=mx +c)

8am = -2

9am = -0.5

10am = 1.0

11am = 2.5

12pm = 4

m = change in each value or the slope , for this it is m=1.5

c = the y intercept, we find this by: when x=8 y must = 1.5 , which it isn't , y has to = -2 . So c = -3.5

The equation then is: y= 1.5*x - 3.5

The gradient/slope/m value is 1.5. The answer is 1.5

Answer:

D

Step-by-step explanation:

I solved this by hand;

Combine like terms

Two factorisation ways

Or

\( \begin{gathered}\\ \large\dashrightarrow\mathsf {7a²b+5ab²-4ab²-3ab²+2a²b²} \\ \end{gathered}\)

Combine like terms :-

\( \begin{gathered}\\ \large\dashrightarrow\mathsf {5ab²-4ab²-3ab²+7a²b+2a²b²} \\ \end{gathered}\)

\(\begin{gathered}\\ \large\dashrightarrow\mathsf {(5-4-3)ab²+7a²b+2a²b²} \\ \end{gathered}\)

\( \begin{gathered}\\ \large\dashrightarrow\mathsf {-2ab²+7a²b+2a²b²} \\ \end{gathered}\)

Two factorisation ways :-

▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬

The engineer measuring the western rod with a sample size of 20 is expected to have a more precise (narrower) confidence interval compared to the engineer measuring the eastern rod with a sample size of 25.

The engineer who measures the length of the western rod 20 times and calculates the average is expected to have a more precise (narrower) confidence interval compared to the engineer who measures the length of the eastern rod 25 times.

In statistical terms, the precision of a confidence interval is influenced by the sample size. The larger the sample size, the more precise the estimate tends to be. In this case, the engineer measuring the western rod has a sample size of 20, while the engineer measuring the eastern rod has a sample size of 25. Since the sample size of the western rod is smaller, it is expected to have a narrower confidence interval and therefore a more precise estimate of the true length of the rod.

A larger sample size provides more information and reduces the variability in the estimates. It allows for a more accurate estimation of the population parameter. Therefore, the engineer with a larger sample size is likely to have a more precise interval.

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Answer:

- ∞ < x < ∞

Step-by-step explanation:

There is no restriction on the domain of x; x is the set of all real numbers which is - ∞ < x < ∞

The domain of the function is all real numbers , D ( ∞ , ∞ )

The domain of a function is the set of values that we are allowed to plug into our function. This set is the x values in a function such as f(x). The range of a function is the set of values that the function assumes. This set is the values that the function shoots out after we plug an x value in.

The range is the set of outputs of a relation or function. In other words, it's the set of possible y values. Recall that ordered pairs are of the form (x,y) so the y coordinate is listed after the x. The output is listed after the input.

Given data ,

Let the function be represented as f ( x )

Now , the value of f ( x ) is

y = ∛x

The cube root function y = ³√x is defined for all real numbers.

The domain of the expression is all real numbers except where the expression is undefined. In this case, there is no real number that makes the expression undefined.

In other words, the domain of the function y = ³√x is all  real numbers

Hence , the domain of the function y = ³√x is ( ∞ , ∞ )

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