Henry lives in Mississippi, which has a sales tax of 7%. He just bought a bed whose full price was $1600, but he got 30% off, because the store was having a sale. What was the total amount that Henry paid?
A.) $1120.00
B.) $1198.40
C.) $1934.40
D.) $1712.00

Answer:

-28x^4y^6

Step-by-step explanation:

Given are two terms as

[tex]-4x^3y^2[/tex] and

[tex]7xy^4[/tex]

To find the product

we group like terms and find their product

Here we have -4 and 7 for coefficients : Product =-28

x terms are x^3 and x  hence product = x^(1+3) =x^4

y terms are y^2 and y^4 hence product = y^(2+4) = y^6

Hence product is

[tex]-28x^4y^6[/tex]

General Idea:

If A and B are independent, then the probability that events A and B both occur is:

[tex] p(A\; and\; B) = p(A) \times p(B). [/tex]

In other words, the probability of A and B both occurring is the product of the probability of A and the probability of B

Applying the concept:

Five cards are drawn from a standard deck of cards. Each card is replaced after being drawn.

There are four 3's in a deck of card, four 2's in a deck of card. In a deck of card there are 52, so...

[tex] \\[tex] p(3\; and\; 3\; and\; 3 \; and \; 2 \; and\; 2)=\frac{4}{52} \times \frac{4}{52} \times \frac{4}{52} \times \frac{4}{52} \times \frac{4}{52} \\ \\ Multiply \; numerator \; with \; numerator \; and \; denominator \; with \; denominator\\ \\ \frac{4 \cdot 4 \cdot 4 \cdot 4 \cdot 4}{52 \cdot 52 \cdot 52 \cdot 52 \cdot 52} \\ \\ Cancel \; Common\; Factor\\ \\ \frac{1 \cdot 1 \cdot 1 \cdot 1 \cdot 1}{13 \cdot 13 \cdot 13 \cdot 13 \cdot 13} =\frac{1}{13^5} =\frac{1}{371293} [/tex] \; =\; p(3) \times \; p(3) \times \; p(3) \times \; p(2) \times p(2) [/tex]

The number of rows in the auditorium is 45, and each row has 59 seats.

This problem can actually be solved using Algebra. If we let 'x' represent the number of rows in the auditorium, then the number of seats in each row would be x + 14 (since the number of seats in each row exceeds the number of rows by 14). Since the total number of seats is 1320, we can now set up and solve an equation: x(x + 14) = 1320.

Solving the equation, we get [tex]x^2[/tex] + 14x - 1320 = 0. This can be factored to (x - 45)(x + 29) = 0. The positive solution is x = 45. Therefore, there are 45 rows in the auditorium.

Substituting x = 45 back to our original equation x + 14, we find out that there are 45 + 14 = 59 seats in each row.

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B- $47.80 for apex that's what i got.

The full price of the purse is C) $60.85.

The price at which the purse is bought = $25

The price paid = $35.85

To find the full price of the purse, we need to add the discount amount to the price Veronica paid.

Since she got $25 off, the discount amount is $25.

Therefore, the full price of the purse is

= $35.85 + $25

= $60.85.

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The number whose 140% is 364 is 260.

The percentage is calculated by dividing the required value by the total value and multiplying by 100.

Example:

Required percentage value = a

total value = b

Percentage = a/b x 100

Example:

50% = 50/100 = 1/2

25% = 25/100 = 1/4

20% = 20/100 = 1/5

10% = 10/100 = 1/10

We have,

Number = M

140% of M = 364.

140/100 x M = 364

Solve for M.

M = 364 x 100 / 140

M = 260

Thus,

140% of 260 is 509.6.

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Answer:

C.Yes, because this definition fits all acute triangles and does not fit triangles that are not acute.

Step-by-step explanation:

The binomials below are a factor of this trinomial that will be x + 2. Option A  is correct.

Polynomial is the combination of variables and constants systematically with "n" number of power in ascending or descending order.

[tex]\rm a_1x+a_2x^2+a_3x^3+a_4x^4..........a_nx^n[/tex]

It is given that, the expression is, x² - 3x - 10

Binomials in algebra are two-term expressions joined by a plus or minus sign, such as ax+b. While the second term might or might not, the first term always contains a variable.

A binomial can be solved or simplified for further work by factoring, which is the process of looking for simpler terms that, when multiplied together, produce the original binomial expression.

Thus, the binomials below are a factor of this trinomial that will be x + 2. Option A  is correct.

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The equation of line E will be x = 8.

A relationship between two or more parameters that, when shown on a graph, produces a linear model. The degree of the variable will be one.

The linear equation is given as,

y = mx + c

Where m is the slope of the line and c is the y-intercept of the line.

From the diagram, line E is perpendicular to the x-axis and parallel to the y-axis.

The slope of the line which is parallel to the y-axis will be ∞. Then the equation of line E will be

y = ∞x + c

y = (1/0)x + c

0y = x + c

x + c = 0

From the graph, the value of the variable c will be negative 8.

Then the equation of line E will be x = 8.

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Answer:

the correct answer is 16 cubic inches

Step-by-step explanation:

Final answer:

The linear equation describes the algebraic relationship between two variables in a paired sample data set, with the slope and y-intercept being key components of this equation.

Explanation:

Given a collection of paired sample data, the linear equation algebraically describes the relationship between the two variables, x and y. The most fundamental representation of a linear association is through a linear equation, which graphically manifests as a straight line in a scatter plot. Two commonly used forms of linear equations are y = mx + b and y = a + bx. The latter is frequently used in statistical contexts to differentiate from the algebraic context.

In these equations, m or b (when used as a coefficient) is known as the slope, indicating the rate of change or how much y changes as x changes. The y-intercept represented by a is the point at which the line crosses the y-axis, typically where x equals zero. A linear relationship between two variables is confirmed when a scatter plot of the pair shows points that approximate a straight line.

Answer:

Therefore ,(D)  360π inches.

Step-by-step explanation:

Given: A tire at the top of a hill starts rolling down the hill. If the diameter of the tire is 36 inches.

To find: How many inches has the tire rolled if it has rotated exactly 10 times down the hill.

Solution : We have given that diameter of tire = 36 inches.

 Radius = [tex]\frac{Diameter}{2}[/tex]

  Radius = [tex]\frac{36}{2}[/tex]

 Radius = 18 inches.

Circumference of tire = 2 * π radius

Circumference of tire = 2 *  π 18

                                    = 36π

We need to  rolled the tire 10 times down the hill

then,  10 * 36π = 360π inches.

Therefore ,(D)  360π inches.

Answer:

The two triangles are similar by AAA

Step-by-step explanation:

we know that

If the two triangles are similar, then the ratio of its corresponding sides is equal and its corresponding angles are congruent

Remember that

The sum of the internal angles of a triangle must be equal to [tex]180\°[/tex]

so

In the triangle CDE

Find the measure of angle E

[tex]m<C+m<D+m<E=180\°[/tex]

substitute the values and solve for m<E

[tex]60\°+53\°+m<E=180\°[/tex]

[tex]m<E=180\°-(60\°+53\°)=67\°[/tex]

The measures of internal angles triangle CDE are [tex]60\°-53\°-67\°[/tex]

In the triangle FGH

Find the measure of angle G

[tex]m<F+m<G+m<H=180\°[/tex]

substitute the values and solve for m<G

[tex]60\°+m<G+67\°=180\°[/tex]

[tex]m<G=180\°-(60\°+67\°)=53\°[/tex]

The measures of internal angles triangle FGH are [tex]60\°-53\°-67\°[/tex]

therefore

The two triangles are similar by AAA

Answer: The average rate of change from x = 0 to x = 20 is decreasing

✔ slower than

the average rate of change from x = 0 to x = 15.

Suppose that the height of the slide is 2 feet, when x = 20. What is the average rate of change over the entire slide?

-3.9

Step-by-step explanation:

So, the two answers are: Slower than, and -3.9

The resulting graph of the rational function is the Graph at the top right graph 2.

To depict the rational function f(x) =  2/(x - 1) + 3, we must consider its characteristics. The function has a vertical asymptote at x = 1 because the function is undefined at that point, and it has a horizontal asymptote at y = 3 due to the behavior of the function as x approaches infinity. The graph will approach these asymptotes but never cross them.

For values of x greater than 1, the function will decrease towards the horizontal asymptote because the (x - 1) in the denominator increases, which causes the value of f(x) to decrease.

However, because of the '+3' term in the function, the curve will approach y = 3 as x goes to infinity.

To graph this function, plot several points where x is not equal to 1, then draw the curve that passes through these points while approaching the respective asymptotes.

The portions of the graph should fall above the horizontal line y = 3 for x < 1 and approach y = 3 from below for x > 1.

Therefore, the resulting graph of the rational function is the Graph at the top right graph 2.

The probable question may be:

Which graph represent the rational function f(x)=2/x-1+3

Answer: (x4-81) I searched it up..

Step-by-step explanation:

√9 = 3

3 is a real number , a whole number , a rational number , an integer and a natural number ,

So last option is correct

Set of all natural numbers , set of all whole numbers , set of all integers, set of all rational numbers , set of all real numbers.

The probability that none of the five identical pieces of equipment will fail during a year is approximately 59.049%, calculated using the statistical independence of each piece's probability of not failing, which is 0.9, raised to the power of 5.

The question is asking for the probability that none of the five pieces of equipment fails within a year when there is a 1 in 10 chance of failure for each piece of equipment. To calculate this, we use the principle of statistical independence. If the chance that one piece of equipment does not fail is 9 in 10 (or 0.9), then the probability that all five do not fail is 0.9 raised to the power of 5.

Mathematically, this is calculated as:

[tex](0.9)^5[/tex]= 0.9 * 0.9 * 0.9 * 0.9 * 0.9

Performing the multiplication, the probability that none of the five pieces fail during a year is approximately 0.59049.

In conclusion, there is a 59.049% chance that none of the identical pieces of equipment will fail during a year, assuming that the failures are statistically independent events.

Answer:

Its 6 feet

Step-by-step explanation:

Answer: with the problem you can see that

Smallest is 4.1 inches

Expression is 12 multiply by (7/10) to the power of 3

Answer:

Smallest is 4.1 inches

Expression is 12 multiply by (7/10) to the power of