Alex is tracking how many computers he can fix in an afternoon. He listed the number of computers fixed per hour in the following table:


Hour (x) Number of Customers
f(x)
1 4
2 8
3 12


Determine if these data represent a linear function or an exponential function, and give the common difference or ratio.
This is an exponential function because there is a common ratio of 4.
This is a linear function because there is a common difference of 4.
This is a linear function because there is a common difference of 8.
This is an exponential function because there is a common ratio of 8.

John Barker's repair shop in Ontario is required to calculate the HST payable or refund for the first reporting period. The HST rate is 13% and the amount before HST sales is $150,000. The total HST collected from sales is $19,500 and the total ITCs are $19,790. The net HST payable/refund is $19,500 - $19,790 and the correct option is d) A refund of $5,980.

Given the following information for John Barker's repair shop in Ontario, we are required to calculate the HST payable or refund for the first reporting period. The HST rate for Ontario is 13%.Amount Before HST Sales $150,000 Equipment purchased $96,000 Supplies purchased $83,000 Wages paid $19,000 Rent paid $17,000Let's calculate the total HST collected from sales:

Total HST collected from Sales= HST Rate x Amount before HST Sales

Total HST collected from Sales= 13% x $150,000

Total HST collected from Sales= $19,500

Let's calculate the total ITCs for John Barker's repair shop:Input tax credits (ITCs) are the HST that a business pays on purchases made for the business. ITCs reduce the amount of HST payable. ITCs = (HST paid on eligible business purchases) - (HST paid on non-eligible business purchases)For John Barker's repair shop, all purchases are for business purposes. Hence, the ITCs are the total HST paid on purchases.

Total HST paid on purchases= HST rate x (equipment purchased + supplies purchased)

Total HST paid on purchases= 13% x ($96,000 + $83,000)

Total HST paid on purchases= $19,790

Let's calculate the net HST payable or refund:

Net HST payable/refund = Total HST collected from sales - Total ITCs

Net HST payable/refund = $19,500 - $19,790Net HST payable/refund

= -$290 Since the Net HST payable/refund is negative,

it implies that John Barker's repair shop is eligible for an HST refund. Hence, the correct option is d) A refund of $5,980.

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We can use the power series expansion of the exponential function e^(-x) to evaluate the sum of the series:

e^(-x) = ∑(n=0 to infinity) (-1)^n (x^n) / n!

Setting x = 3/2, we get:

e^(-3/2) = ∑(n=0 to infinity) (-1)^n (3/2)^n / n!

Multiplying both sides by (3/2)^2 and simplifying, we get:

(9/4) e^(-3/2) = ∑(n=0 to infinity) (-1)^n (3/2)^(n+2) / (n+2)!

Comparing this with the given series, we can see that they differ only by a factor of (-1) and a shift in the index of summation. Therefore, we can write:

∑(n=0 to infinity) (-1)^n (2n) (3/2)^(2n) / (2n)!

= (-1) ∑(n=0 to infinity) (-1)^n (3/2)^(n+2) / (n+2)!

= (-1) ((9/4) e^(-3/2))

= - (9/4) e^(-3/2)

Hence, the sum of the series is - (9/4) e^(-3/2).

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Answer:

(2)

15x8.66666667=130.00000005

Step-by-step explanation:

to get the are in square feet you have to Length (in feet) x width (in feet) = area in sq. ft.

Answer: (2,2)

Step-by-step explanation:

The solution of the system of equations is the intersection point, or the point where both lines meet. Looking at the graph, we see that the blue and red line meet at (2,2). That means the solution is (2,2).

We can also solve this algebraically. Since we are given that y=x, we can plug that into the equation and solve.

y+2y=6       [combine like terms]

3y=6            [divide both sides by 3]

y=2

Since we are told that y=x, we know that x is also 2. This tells us that the solution is also (2,2).

Answer:

See below

Step-by-step explanation:

Opens Downward   ( due to the  -  coefficient  of t^2 )

when t = 0    the height is = 25 meters

initial velocity = 200 m/s

Vertex = 20.41, 2065.82

Answer:

It will take him 90 seconds

Step-by-step explanation:

Divide 72 by 4 and then multiply that by 5. that will show you  how many seconds it take him to walk 73 yards

Part A:The sample space contains 20 possible outcomes.

Part B :there are 3 favorable outcomes.

Part C:The probability of selecting 2 cards that are consonants is 3/20.

The proportion (relative frequency) of times an event is anticipated to occur when an experiment is repeated a large number of times under identical conditions is known as the probability of the event.

Part A:  When two cards are selected from the pile, the set of all possible outcomes known as the sample space is created. Since one of the five cards has already been selected, there are five choices for the first card and four for the second.

As a result, the sample space contains 20 possible outcomes, or 5 x 4.

Part B: There are 3 consonants in the arrangement of cards: R, S, and T, so the number of ways to choose two consonants from the set of three is one of the favorable outcomes. The following combination formula can be used to find this:

f = (number of ways to choose 2 consonants from 3)

= C(3,2)

= 3

So there are 3 favorable outcomes.

Part C: The probability of selecting two consonant-containing cards in the sample space is the product of the number of favorable outcomes and the number of possible outcomes.

P(selecting two consonants) = f / n,

where n is the number of possible outcomes in the sample space and f is the number of favorable outcomes.

Substituting the values we found in parts A and B, we get:

P(selecting 2 consonants) = 3 / 20

Therefore, the probability of selecting 2 cards that are consonants is 3/20.

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Answer:

0.45

Step-by-step explanation:

You divided 2.25 by 5

The statements that are True about the Correlations is , "Correlations are a measure used to determine the degree to which two variables are related" , the correct option is (c) .

In the question,

few statements about Correlation is given ,

we need to find the statement that is True .

we know that , Correlation is the term that is used to measure the degree of relationship between two variable ,

the correlation can be negative , positive or 0 ,

and the negative correlation implies that if one variable increases then other variable decreases and vice a versa .

So , from the above information about Correlation ,

we conclude that , the True statement is "Correlations are a measure used to determine the degree to which two variables are related. "

Therefore , the statement in option (c) is True  .

The given question is incomplete , the complete question is

Select the statement below that is true about correlations.

(a) Correlations can only be negative

(b) Correlations are a measure of how much one variable changes as the other variable changes

(c) Correlations are a measure used to determine the degree to which two variables are related.

(d) Correlations are a measure of causation between two variables

(e) A negative correlation implies no relationship between variables

(f) Correlations can only be positive .

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The measure of the length of x is equal to 225 rounded to the nearest whole number using the trigonometric ratios of tangent and sine

The trigonometric ratios involves the relationship of an angle of a right-angled triangle to ratios of two side lengths. Basic trigonometric ratios includes; sine cosine and tangent.

Considering the right triangle with opposite = 108 and adjacent = 81, the angle between them and hypotenuse is derived and used to solve for the base x of the entire right triangle as follows:

tan⁻¹(108/81) = 53.13°

hypotenuse side = √(108² + 81²)

hypotenuse side = √18225

hypotenuse side = 135.

For the entire right triangle;

the smaller angle = 180 - (90 + 53.13)

the smaller angle = 36.87

sin36.87 = 135/x

x = 135/sin36.87

x = 254.9995

Therefore, the measure of the length of x is equal to 225 rounded to the nearest whole number using the trigonometric ratios of tangent and sine

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Answer:

Step-by-step explanation:

3 + 5 +7 +9 + 11 + ....

n = 100

a = 3

d = 5 - 3 = 2

\(S_{n}=\frac{n}{2}(2a + (n-1)d)\\\\S_{100}=\frac{100}{2}(2*3+99*2)\\\\=50*(6+198)\\\\= 50 * 204\\= 10200\\\)

Step-by-step explanation:

\(f(x) = {x}^{3} + 6 {x}^{2} + 5x + 12\)

x intercept = -1, 3 and 4

y intercept = 12

Hello!

So to answer this question, there are two major steps you need to do. These steps are multiplication and addition. The equation to model this situation is this:

(2.18 x 5) + (2.22 x 3) = X

(X is the total amount that Jacob paid)

To solve this equation, you want to use the order of operations.

First, you will multiply inside of the parenthesis.

2.18 x 5 = 10.90

So, the equation will look like this:

10.90 + (2.22 x 3) = X

Now, you have to multiply the other set in parenthesis.

2.22 x 3 = 6.66

The equation now looks like this:

10.90 + 6.66 = X

To find the value of X, we have to add the two values on the right side of the equation.

10.90 + 6.66 = 17.56

So, X = 17.56.

Jacob paid a total of $17.56 for the lemonades.

Hope this helps!

Total number of outcomes for randomly choosing a vehicle = 25

What is outcome of an event?

Suppose an event is happening. The results which are possible in that event is known as outcome of that event.

Number of sportscar a car dealership has = 12

Number of sports utility vehicle a car dealership has = 6

Number of luxury car a car dealership has = 7

Total number of outcomes for randomly choosing a vehicle

                                                                                  = 12 + 6 + 7 =              

                                                                                  =  25

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We can calculate the net yard as adding the two events in respect to the same reference value.

The first event is gaining 14 yards, so we have a=14.

The second event is losing 20 yards, which according to our reference is a negative value: b=-20.

Then, we can calculate the net effect as:

This correspond, as it has a negative value, to a loss of 6 yards.

Answer: the total change is 6 yards lost.

Speed = 50 miles per hour

Time = 4 hours

Distance = D

Distance = speed x time

Replacing:

D = 50 mph x 4 h = 200 miles

Using the ratio test, the radius of convergence for the power series ∑ (3k!x^3k)/(3k)6k is found to be 1/3 or 1/(3e) when expressed in terms of e.



To find the radius of convergence of the given power series ∑ (3k!x^3k)/(3k)6k, we can apply the ratio test. Using the ratio test, we consider the limit of the absolute value of the ratio of successive terms:

lim┬(k→∞)⁡〖|(3(k+1))!x^(3(k+1))/((3(k+1))(6(k+1)))|/(|(3k)!x^(3k)/((3k)(6k))|)〗

Simplifying this expression, we get:

lim┬(k→∞)⁡〖|(3k+3)!x^(3k+3)/((3k+3)(6k+6))|/(|(3k)!x^(3k)/((3k)(6k))|)〗

Canceling out common terms, we have:

lim┬(k→∞)⁡〖|3k+3)(3k+2)(3k+1)x^3/((3k+3)(6k+6))|/(|x^3/(3k(6k))|)〗

Simplifying further, we obtain:lim┬(k→∞)⁡〖|x^3/(6k+6)|/(|x^3/(18k^2)|)〗

Taking the absolute value and simplifying, we get:

lim┬(k→∞)⁡〖|(18k^2)/(6k+6)||x^3|〗

As k approaches infinity, (18k^2)/(6k+6) approaches 3, resulting in:

lim┬(k→∞)⁡〖3|x^3|〗

For the series to converge, the absolute value of x^3 must be less than 1/3, which gives the radius of convergence as 1/3. Hence, the radius of convergence is 1/3 or 1/(3e) when expressed in terms of e.

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a) Yes, this provide strong evidence that more than 15% of college students in America have at least one sibling

b) Type of error might you have committed is type 1 error.

We can use the sample proportion of students with at least one sibling (20/100 = 0.2) to calculate a test statistic, which measures how far the sample proportion is from the null hypothesis. In this case, we can use a one-sample proportion z-test to calculate the test statistic:

z = (p1 - p) / √(p * (1 - p) / n)

where p1 is the sample proportion, p is the null hypothesis proportion, and n is the sample size.

Using the values from your question, we get:

z = (0.2 - 0.15) / √(0.15 * 0.85 / 100) ≈ 1.18

We can use a standard normal distribution to find the p-value, which is the probability of getting a test statistic as extreme as the one we observed, assuming the null hypothesis is true. The p-value can be calculated as:

p-value = P(Z > z)

where Z is a standard normal random variable.

Using a calculator or a table of standard normal probabilities, we can find that the p-value is approximately 0.12.

To make a decision about whether to reject or fail to reject the null hypothesis, we compare the p-value to a significance level, which is a threshold that we set to determine how much evidence we need to reject the null hypothesis.

The most common significance level is 0.05, which means that we are willing to accept a 5% chance of rejecting the null hypothesis when it is actually true.

In this case, the p-value (0.12) is greater than the significance level (0.05), so we fail to reject the null hypothesis. This means that we do not have strong evidence to conclude that more than 15% of college students in America have at least one sibling based on this sample.

Now, let's talk about the type of error that we might have committed when testing the hypothesis. In hypothesis testing, there are two types of errors: type I error and type II error.

A type I error occurs when we reject a true null hypothesis, and a type II error occurs when we fail to reject a false null hypothesis.

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Answer:

50%

Step-by-step explanation:

Sense there are 4 popsicles in all, and 2 are cherry, there would be 2/4 cherry popsicles, which is 1/2 or 50%

Hope my explanation makes sense :)

The correct solution to the arithmetic expression (2 8)/2*9/3 using the order of operations as employed by Oracle 12c when solving equations is 4.

According to the Order of Operations, the first step is to evaluate expressions inside parentheses, then perform any multiplications or divisions, and finally perform any additions or subtractions. In this expression, the first step would be to evaluate the expression inside the parentheses: (28)/2. This evaluates to 14.

Next, the expression becomes 14 * 9/3. According to the Order of Operations, we need to perform the multiplication first, so 14 * 9 = 126. Finally, we perform the division: 126/3 = 42.

So, the correct solution to the expression (2 8)/2 * 9/3 is 42.

Order of operations is a set of rules used to determine the sequence in which arithmetic operations should be performed in a mathematical expression to obtain the correct result. The rules ensure that operations are performed in a consistent and predictable manner.

The order of operations is typically represented by the acronym PEMDAS, which stands for Parentheses, Exponents, Multiplication and Division (from left to right), and Addition and Subtraction (from left to right).

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Two lines that form a right angle at their point of intersection are perpendicular to each other.

The negative reciprocal is equal to the slope of the perpendicular lines. A transversal line is a line that is perpendicular to two parallel lines. Equal pairs of alternate angles and matching angles are created in the case of the transversal line.

When two lines intersect at a right angle, they are perpendicular to each other. The junction is referred to as the point of perpendicularity. The perpendicular lines form a 90-degree angle, and they can be used to create a coordinate system or used in geometric constructions. Such lines are called perpendicular lines.

Correct Question :

Two lines that form a right angle at their point of intersection are called what?

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Answer:

4 is a factor. Also, (3n - 5) is a factor.

The factored form of 12n - 20 is:

4(3n - 5)

Step-by-step explanation:

We're looking for the biggest number (sometimes its a variable with the biggest exponent, but not this time)

that goes into 12n and also goes into 20. 4 is the biggest number that goes into both 12n and 20. So we factor it out...this is like "un-distributive property" (if you have been studying distributive property, this is like reversing it)

12n - 20

= 4(3n - 5)

The main answer to this question is that there could be several reasons why an experiment may not produce significant results even if the research hypothesis is true.

One possible explanation could be that the sample size used in the experiment was too small, which could have resulted in insufficient statistical power to detect the true effect of the independent variable on the dependent variable. Another explanation could be that there were extraneous variables that were not controlled for in the experiment, which could have influenced the results and made it difficult to detect the true effect of the independent variable.

it is important to consider all possible factors that may affect the results of an experiment and to take steps to minimize their impact. This includes ensuring that the sample size is appropriate, controlling for extraneous variables, and using appropriate statistical tests to analyze the data. By doing so, researchers can increase the likelihood of obtaining significant results that accurately reflect the effects of the independent variable on the dependent variable.

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Answer:

>

Step-by-step explanation:

28.45 >3+hgydnjsjsjjsjkso

Answer:

y=-1/2x+7/2

Step-by-step explanation:

Madison figures out the average and range of chloride readings from wells close to the ocean. Other than a query, she has carried out an operation. The answer id option (d).

The standard deviation is a measure of variance from the mean that takes spread, dispersion, and dispersion into account. The standard deviation displays a "typical" divergence from the mean. It is a well-liked measure of variability since it retains the primary units of measurement from the data set.  A minor variation occurs when the numbers are close to the mean, while a high variation occurs when they are far from the mean.

The standard deviation describes the degree to which the results deviate from the mean. The average deviation, which depends on all values, is the most often used metric for measuring dispersion. Consequently, the standard deviation's value can be altered even by a slight change in one value.

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The third term and fourth term has a sum of 108.

Let's use the formula for the nth term of an exponential sequence:

\(a_n = a_1 * r^{(n-1)}\)

where \(a_1\) is the first term, r is the common ratio, and n is the term number.

We're given that the second term is 9, so we know:

\(a_2 = a_1 * r = 9\)

We're also given that the fourth term is 81, so we know:

\(a_4 = a_1 * r^3 = 81\)

We can use the equation for \(a_2\) to solve for \(a_1\):

\(a_1 * r = 9\\a_1 = 9 / r\)

Substituting this expression for \(a_1\) into the equation for \(a_4\), we get:

\((9 / r) * r^3 = 81\\r^2 = 9\\\)

r = 3 or r = -3

Since we have a common ratio, we can find the third term using either value of r:

\(a_3 = a_2 * r = 9 * 3 = 27\)

Now we can find the sum of the third and fourth terms:

\(a_3 + a_4 = 27 + 81 = 108\)

Therefore, the sum of the third term and fourth term is 108.

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Answer: If you want me to evaluate its 18x - 2

Hope it helped :D

Answer:

We get -2 < r < 3

Corresponding to the fourth choice

The fourth number line is the correct option

Step-by-step explanation:

-2 < 3r+4 < 13

We have to isolate r,

subtracting 4 from each term,

-2-4< 3r + 4 - 4 < 13 - 4

-6 < 3r < 9

divding each term by 3,

-6/3 < r < 9/3

-2 < r < 3

so, the interval is (-2,3)

or, -2 < r < 3

this corresponds to

The fourth choice (since there is no equality sign)