. Consider the two properties that you would use to solve an equation like 3x + 5 = 26. Which of the following is true? The standard method for solving an equation like 3x + 5 = 26 is to use the Subtraction Property of Equality and then the Division Property of Equality. The standard method for solving an equation like 3x + 5 = 26 is to use the Subtraction Property of Equality and then the Addition Property of Equality. The standard method for solving an equation like 3x + 5 = 26 is to use the Multiplication Property of Equality and then the Division Property of Equality. The standard method for solving an equation like 3x + 5 = 26 is to use the Division Property of Equality and then the Subtraction Property of Equality.

Using compound interest, the rates per compounding period are given as follows:

a) 0.1273 = 12.73%.

b) 0.0833 = 8.33%

c) 0.0617 = 6.17%

The amount of money earned, in compound interest, after t years, is given by:

\(A(t) = P\left(1 + \frac{r}{n}\right)^{nt}\)

In which:

The interest rate per compounding period is given as follows:

\(\left(1 + \frac{r}{n}\right)^n - 1\)

For item a, the parameters are:

r = 0.12, n = 52.

Hence:

\(\left(1 + \frac{0.12}{52}\right)^{52} - 1 = 0.1273\)

For item b, the parameters are:

r = 0.08, n = 104.

Hence:

\(\left(1 + \frac{0.08}{104}\right)^{104} - 1 = 0.0833\)

For item c, the parameters are:

r = 0.06, n = 12.

Hence:

\(\left(1 + \frac{0.06}{12}\right)^{12} - 1 = 0.0617\)

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Answer:

4.25 im really not sure but hope it helps

The salesman needs to sell $23,050 worth of products to reach his target monthly income of $3000.

To determine how much the salesman needs to sell in a month to reach a monthly income of $3000, we need to consider both his base salary and commission.

Let X be the total amount of sales he needs to make to reach his target income. We can start by setting up an equation to represent his total income in terms of his base salary and commission:

Total Income = Base Salary + Commission

Total Income = $750 + 10%(Sales - $550)

Since his commission is only earned on sales above $550, we subtract $550 from the total sales to calculate the commissionable amount.

We know that his total income needs to be $3000, so we can set up an equation to solve for X:

$3000 = $750 + 10%(X - $550)

$2250 = 10%(X - $550)

$22500 = X - $550

$23050 = X

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The task requires devising a recursive definition for the set S, which contains all strings from A* in which there is no b before an a.

To create a recursive definition for S, we need to consider two cases: a string that starts with an "a" and a string that starts with a "b." For the first case, we can define the set S recursively as follows:

λ ∈ S (the empty string is in S)

If w ∈ S, then aw ∈ S (concatenating an "a" at the end of a string in S results in a string that is also in S)

If w ∈ S and x ∈ A*, then \(wx\) ∈ S (concatenating any string in A* to a string in S results in a string that is also in S)

For the second case, we only need to consider the empty string because any string starting with a "b" cannot be in S. Thus, we can define S recursively as follows:

λ ∈ S

If w ∈ S and x ∈ A*, then xw ∈ S

These two cases cover all possible strings in S, as they either start with an "a" or are the empty string. By using recursive rules to concatenate characters at the beginning or end of strings in S, we can generate all valid strings in the set without generating any invalid strings that contain a "b" before an "a."

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Answer:

C, Yes; for any given number of hours,there is only one possible cost.

Step-by-step explanation:

Simple Function question, if there’s an X with the same number, it’s not a function. It wasn’t D since it’s justifying the range being the same number

Answer: The sum =14

Step-by-step explanation:

Given that n=2

And

sum = cube of a number, n, and 16 which can be expressed mathematically as

n^3 + 6

2^3 + 6

8 + 6= 14

The value modulus functions of x are found as 12 and -3.

A modulus function returns the magnitude of a number regardless of its sign.

The modulus function's value is always non-negative. Whenever f(x) is a modulus function, we get:

for the given function;

m(x) = |2x - 9|, where m(x) = 15.

then,

15 = |2x - 9|

Open the modulus function in its corresponding positive and negative values;

15 = 2x -9 and also 15 = -(2x - 9).

Solving both;

15 = 2x -9

2x = 15 + 9

2x = 24

x = 12

and, the second functions;

15 = -(2x - 9)

15 = -2x + 9

-2x = 15 - 9

x = -3

Thus, the solution for x are 12 and -3.

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The correct question is-

Given m(x) = |2x - 9|, find x when m(x) = 15.

(a) The estimated model is statistically significant at the 1% level based on the overall significance test.

(b) Both hsGPA and skipped are statistically significant at the 1% level.

(c) The coefficient on skipped (-0.079) suggests that as the number of classes skipped per week increases, college GPA tends to decrease.

(a) The test of overall significance at the 1% level indicates that the estimated model is statistically significant.

The null hypothesis states that all the coefficients in the model are equal to zero, while the alternative hypothesis suggests that at least one of the coefficients is not equal to zero. The test statistic for overall significance is typically the F-statistic.

To conduct the test, we compare the calculated F-statistic to the critical value from the F-distribution with the appropriate degrees of freedom. If the calculated F-statistic is greater than the coefficients, we reject the null hypothesis in favor of the alternative hypothesis.

In this case, since the p-value associated with the F-statistic is less than 0.01, we reject the null hypothesis and conclude that the estimated model is statistically significant at the 1% level.

(b) To conduct a basic significance test for each coefficient at the 1% level, we compare the t-statistics for each variable to the critical value from the t-distribution with (n - k) degrees of freedom, where n is the sample size and k is the number of explanatory variables.

The null hypothesis states that the coefficient is equal to zero, while the alternative hypothesis suggests that the coefficient is not equal to zero. If the absolute value of the t-statistic is greater than the critical value, we reject the null hypothesis in favor of the alternative hypothesis.

For the variable hsGPA, the t-statistic is calculated as 0.456 divided by 0.088, resulting in a value of 5.182.

The critical value from the t-distribution with 119 degrees of freedom at the 1% level is approximately ±2.617. Since the absolute value of the t-statistic exceeds the critical value, we reject the null hypothesis and conclude that the coefficient for hsGPA is statistically significant at the 1% level.

For the variable skipped, the t-statistic is calculated as -0.079 divided by 0.026, resulting in a value of -3.038.

The critical value from the t-distribution with 119 degrees of freedom at the 1% level is approximately ±2.617. Since the absolute value of the t-statistic exceeds the critical value, we reject the null hypothesis and conclude that the coefficient for skipped is statistically significant at the 1% level.

(c) The coefficient on skipped (-0.079) indicates the association between the average number of classes skipped per week and the college GPA.

A negative coefficient suggests that as the number of classes skipped per week increases, the college GPA tends to decrease. In this model, for each additional class skipped per week, the college GPA is estimated to decrease by approximately 0.079 points.

However, it's important to note that this interpretation assumes all other variables in the model are held constant. Therefore, skipping classes may have a negative impact on academic performance as measured by college GPA.

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The area of an equilateral triangle with a side length of 8 feet is \(\(16\sqrt{3}\)\) square feet. This can be obtained by applying the formula for the area of an equilateral triangle and simplifying the expression.

The area of an equilateral triangle with a side length of 8 feet can be calculated using the formula for the area of an equilateral triangle. The area of an equilateral triangle is given by \(\( \frac{\sqrt{3}}{4} \times \text{side length}^2 \).\) Substituting the given side length of 8 feet into the formula, we can find the area of the equilateral triangle.

The area of an equilateral triangle with a side length of 8 feet is given by \(\( \frac{\sqrt{3}}{4} \times 8^2 \).\)

To simplify the expression, we can first square the side length: \(\( 8^2 = 64 \).\)

Next, we substitute the squared side length into the formula and simplify: \(\( \frac{\sqrt{3}}{4} \times 64 \).\)

Multiplying the fraction and the number, we have \(\( \frac{\sqrt{3} \times 64}{4} \).\)

Simplifying further, we get \(\( \frac{64\sqrt{3}}{4} \).\)

Since both 64 and 4 can be divided by 4, we simplify the expression to \(\( 16\sqrt{3} \).\)

Therefore, the area of the equilateral triangle with a side length of 8 feet is \(\( 16\sqrt{3} \)\) square feet.

In summary, the area of an equilateral triangle with a side length of 8 feet is \(\( 16\sqrt{3} \)\) square feet.

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Answer:

1420

Step-by-step explanation:

its in the question

Answer:

  9/4

Step-by-step explanation:

You want to know the value required to complete the square in the equation 1 = x² -3x.

Your picture shows the required value: (-3/2)² = 9/4.

<95141404393>

Answer:

Step-by-step explanation:

 h

------ - 1 = -3

  6

To solve for h, first add 1 to both sides to isolate h/6:

h

---- = -2

 6

Now isolate h by multiplying both sides by 6:

h = -12

Answer:

h is -12

..... .. . . . . .. . . .

Answer:

Volume: 512cm

Surface Area: 384 cm

Step-by-step explanation:

Volume formula: V= length x width x height

Surface Area formula: A= 6a^2 ; a = edge

Answer:

\( - \frac{3}{2} \)

Step-by-step explanation:

\(\textcolor{steelblue}{\boxed{ slope = \frac{y _{1} - y_2 }{x_1 - x_2} }}\)

where (x₁, y₁) is the first coordinate and (x₂, y₂) is the second coordinate

Slope

\( = \frac{4 - 1}{0 - 2} \)

\( = \frac{3}{ - 2} \)

\( = \bf{- \frac{3}{2} }\)

Answer:The answer is 108 for sure.

Step-by-step explanation:

The error Justin made in his calculation is "He should have added the values in the numerator before dividing by 2".

The correct answer choice is option B

(x + y + 5) / 2

Where,

x and y are his parents’ current heights in inches,

Mom’s height = 54 inches

Dad’s height = 71 inches

Substitute into the expression

(71 + 54 + 5) / 2

= 130/2

= 65 inches

Justin's work:

( 71 + 54 + 5 ) / 2

= 71 + 27 + 5

= 103 inches

Therefore, Justin should have added the numerators before dividing by 2.

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Step-by-step explanation:

Here is the solution that you have asked.

When the -121 moves to the other sides it becomes positive.

Similarly, when the square of x moves to the other side it becomes root if the 121 .

Hence, The value of X becomes 11, which is the requires answer.

Answer:

x=11

x= -11

Step-by-step explanation:

Answer:

When you add all the angles together you get 360 degrees because every circle equals 360.

a: 35 degrees

b: 40 degrees

c: 35 degrees

d: 70 degrees

Step-by-step explanation:

For "d":

To find a we see that 70 degrees is a bisector to "d" meaning that they are equal. Also the angle to the left of the 40 degree angle is equal to the angle to the right of "d". So we would add 40 and "d", which is 70 degrees. And since that whole line of angles creates a straight line, which is 180 degrees we take the sum of 40 and 70 then subtract that to 180 which is 180-110= 70.

Then we divide 70 by 2 because the 2 angles are the same. This makes 35.

So now that we know the angles that are not labeled we can find a,b, and c

For "a":

It is very simple to find "a" since we found that the unlabeled angles are both 35 degree. Angle "a" happens  to be a bisector of the 35 degree angle making them equal. This means that "a" is 35 as well.

For "b":

Since "b" is a bisector of the 40 degree angles this makes "b" 40 degrees.

For "c":

Angle "c" is exactly like Angle "a" because of them being being bisectors wiht the unlabeled angles. So "c" is 35 too.

Answer:

= -48

Step-by-step explanation:

3x^3 - 8y^2

3 ( 2 )^3 - 8 ( -3 )^2

first you solve the exponents

3 ( 8 ) - 8 ( 9 )

multiply

24 - 72

subtract

= - 48

hope this helps

Answer: 1376

Step-by-step explanation: hope this helps!!!!

Answer:

1376

Step-by-step explanation:

Answer:

Yes

Step-by-step explanation:

A vertical line would only touch 1 point at a time. Please vote brainliest

Answer:

no it is not fiction

Step-by-step explanation:

im not very sure so wait on another answer

In 100 million years, the seafloor spreading zone will create 10 million square kilometers of new surface area.


The seafloor spreading zone creates 1 centimeter of new crust over its entire 1000 kilometers length every year. To calculate the surface area created, we need to multiply the length of the zone by the amount of new crust created each year.

First, we convert the length from kilometers to centimeters: 1000 kilometers = 100,000,000 centimeters.
Then, we multiply the length by the amount of new crust created each year: 100,000,000 cm * 1 cm = 100,000,000 square centimeters.

Finally, we convert square centimeters to square kilometers: 100,000,000 cm^2 = 10,000 km^2. Therefore, in 100 million years, the seafloor spreading zone will create 10,000 square kilometers of new surface area.

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Two cheeseburgers contain a total of 1120 calories (2 x 560) and one small order of fries contains 230 calories. And three cheeseburgers contain a total of 1680 calories (3 x 560) and two small orders of fries contain a total of 460 calories (2 x 230).

Let's use a system of equations to solve for the caloric content of each item.

Let x be the number of calories in one cheeseburger and y be the number of calories in one small order of fries.

From the first statement, we know that:

2x + y = 1350

From the second statement, we know that:

3x + 2y = 2140

We can use these two equations to solve for x and y. First, we'll solve for y in terms of x by rearranging the first equation:

y = 1350 - 2x

Now we can substitute thisn expression for y into the second equation:

3x + 2(1350 - 2x) = 2140

Simplifying this equation, we get:

3x + 2700 - 4x = 2140

-x = -560

x = 560

So one cheeseburger contains 560 calories. We can plug this value back into either of the original equations to solve for y:

2(560) + y = 1350

y = 230

So one small order of fries contains 230 calories.

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The maximum amount of space that the teacher can reserve on her bulletin board using the 40-inch long roll of string is 400 square inches.

A rectangle is a two-dimensional shape with four sides and four right angles. It is characterized by having two equal sides that are parallel to each other and two equal sides that are perpendicular to the first two sides.

First, let's consider the perimeter of the rectangle. The perimeter is the total length of the four sides of the rectangle.

So, if we use the entire 40-inch long roll of string to form the border, it will equal the perimeter of the rectangle. We can represent the length and width of the rectangle using variables "l" and "w", respectively.

The perimeter of the rectangle can be calculated using the formula: P = 2l + 2w.

Now, we can set the perimeter equal to 40 inches and solve for l and w.

P = 40

2l + 2w = 40

l + w = 20

Next, we want to find the maximum area of the rectangle. The area of a rectangle can be calculated using the formula: A = l * w.

So, to find the maximum area, we need to maximize the product of l and w. This can be done by setting l and w equal to half of the perimeter, or 20 inches each.

l = w = 20

A = l * w

A = 20 * 20

A = 400 square inches

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The mean score for the test Phyllis scored 84, exactly one standard deviation above the mean is  78.

One of the statistics used in the generalised Cochran-Mantel-Haenszel tests is the mean score statistic. When the answer levels (columns) are assessed using an ordinal scale, it is applicable.

The chi-square distribution with (R-1) degrees of freedom, where R is the number of treatment groups, serves as the asymptotic distribution of the mean score statistic if the two variables are independent of one another in all strata (rows).

If the mean scores of the response differ between the treatment groups in at least one stratum, the mean score statistic tends to have larger values. The term "nonparametric ANOVA statistic" also applies to this statistic.

x = 84

\(\sigma=6\)

since, x is 1 standard deviation above mean so,

\(z=\frac{x-\mu}{\sigma}\)

\(1=\frac{84-\mu}{6}\\ \\\)

\(\mu\) = 84-6

\(\mu\) =78.

therefore, mean = 78.

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The probability that a randomly selected datum falls within 2 standard deviations of the mean as required is; 0.95.

By observation, it follows that the distribution as represented in the task content above is a normal distribution.

On this note, the empirical rule applies as follows;

For a standard normal distribution, 68% of the observations (datum) fall within 1 standard deviation of the mean; 95% of the datum lie within two standard deviation of the mean; and 99.9% lie within 3 standard deviations of the mean.

On this note, when expressed as a percentage; the probability that the randomly selected datum falls with 2 standard deviations is; 95/100 = 0.95.

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Answer:

10.5638 C.

Step-by-step explanation:

Hopefully this helped, if not HMU and I will get u a better answer

-Have a great day! :)

The answer is C: 10.5628

First you must set up the equation to find a certain number for a table.

\(\frac{1.8642}{3} = \frac{x}{17}\)

Next you must solve for x

\(x=10.5628\)