Simplify the expression to a polynomial in standard form:
(−x+1)(x^2+6x−4)

The value of cos(2022π) is easy to compute by hand because the argument (2022π) is a multiple of 2π, which means it lies on the x-axis of the unit circle.

Recall that the unit circle is the circle centered at the origin with radius 1 in the Cartesian plane. The x-coordinate of any point on the unit circle is given by cos(θ), where θ is the angle between the positive x-axis and the line segment connecting the origin to the point. Similarly, the y-coordinate of the point is given by sin(θ).

Since 2022π is a multiple of 2π, it represents an angle that has completed a full revolution around the unit circle. Therefore, the point corresponding to this angle lies on the positive x-axis, and its x-coordinate is equal to 1. Hence, cos(2022π) = 1.

In summary, cos(2022π) is easy to compute by hand because the argument lies on the x-axis of the unit circle, and its x-coordinate is equal to 1.

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The ratio "0.5 km to 100 m" expressed in lowest fractional form is 5:1.

To express the ratio "0.5 km to 100 m" in lowest fractional form, we need to convert both quantities to the same unit. Let's convert 0.5 km to meters.

1 kilometer (km) is equal to 1000 meters (m). Therefore, 0.5 km can be written as:

0.5 km = 0.5 × 1000 m = 500 m

Now we have the ratio as "500 m to 100 m". To express this ratio in lowest fractional form, we can divide both quantities by their greatest common divisor (GCD).

The GCD of 500 m and 100 m is 100 m.

Dividing both quantities by 100 m:

500 m ÷ 100 m = 5

100 m ÷ 100 m = 1

The simplified ratio is:

5 to 1

Therefore, the ratio "0.5 km to 100 m" expressed in lowest fractional form is 5:1.

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Answer:

below

Step-by-step explanation:

that is the procedure above

This statement best illustrates money used as a medium of exchange. In this scenario, the individual goes to the store and exchanges $68 for a pair of jeans. Money serves as a medium of exchange when it is used to facilitate transactions between buyers and sellers. In this case, the buyer wants a pair of jeans, and the seller wants to sell them for $68. Without money, they would have to engage in bartering, which can be cumbersome and inefficient. Money makes the transaction smoother and allows both parties to get what they want. Overall, this example demonstrates how money is an essential tool for facilitating transactions in our modern economy.
Hi! Your question is about the function of money as illustrated by the example of paying $68 for a pair of jeans. This statement best illustrates money used as a medium of exchange.

In this scenario, money is being used as a medium of exchange because it is facilitating the transaction between you and the store. Instead of using barter or trading goods and services directly, you use money to acquire the pair of jeans. This makes transactions more efficient and convenient since it eliminates the need for a double coincidence of wants, which is when two parties each have something the other wants. As a medium of exchange, money serves as a universally accepted means to buy and sell goods and services, like your jeans purchase at the store.

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The answer is Numeric.

What measurement scale is this?

There are mainly two types of variables

Numerical(quantitative): observations that can be measured in numerical form

Agin two types: ratio scale and interval scale

Categorical(qualitative ): named categories

Again two types: Ordinal or nominal

Her in the given an example,

Measured time of race have  numerical observations

The measurement scale is Numeric.

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Answer:

-11 - 5z = 6(5z + 4)

-11 - 5z = 30z + 24

-35 = 35z

z = -1

0 = -5y - 2y

5y = -2y

5 = -2

no solutions

The standard form of the given equation is 5x - 4y = -3.

What is a standard form of an equation?

The standard form for linear equations in two variables is Ax+By=C.

What is a slope intercept form?

The slope-intercept form is the way to write a line's equation so that the y-intercept (where the line crosses the vertical y-axis) and slope (steepness) are instantly visible. This form is frequently known as the y = mx + b form.

Here, we have

y = 5/4x+3/4

we have to convert this equation into standard form

y - 5/4x = 3/4

y - 5/4x - 3/4 = 0

4y - 5x - 3 = 0

4y - 5x = 3

5x - 4y = -3

Hence, the standard form of the given equation is 5x - 4y = -3.

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Well first lets find out how many campers one box will feed

we can find this by doing 75/9

75/9 is 8.3333 (.3333 keeps repeating)

Now that we know that and we know we need to feed 130 campers

we can do 8.3333 /130

This is 15.6

15.6 boxs, you cant buy 0.6 of a box so lets just round up to 16

we can check this math by doing

15.6 * 8.33333333 which we can see equals 130

since we rounded up lets do 16 * 8.33333333

This is 133.3333333 so a little more but again we had no choice since we cant buy 0.6 of a box

the answer is 16

Answer:

Step-by-step explanation:

Step 1: Convert the discounted percent to decimal

20% = 0.2

Step 2: Multiply the discount to the item regularly priced

0.2(65.00) = 13

So, Bill received a $13 discount, therefore, the amount he paid AFTER his discount is:

Step 3: Subtract the result (the discount Bill received) from the regular price

$65.00 - $13.00= $52.00

Therefore, Bill paid $52.00

Step 1: Multiply the wholesale price for a pillow by the marked-up the wholesale price

$4.50 × 40% = 1.8

\(\frac{4.50}{x}=\frac{100\%}{40\%}\)

\(\frac{x}{4.50}=\frac{40}{100}\)

x = 1.8

Step 2: Add the result to the wholesale price for the pillow

4.50 + 1.8 = $6.3

Step 3: Round to the nearest cent

Add a zero behind the result = 6.30

Therefore, the price of the pillow in the department store is $6.30

A significance level of 0.10, we have enough evidence to conclude that the new copy machines have a significantly faster mean repair time compared to the older model.

To test if the new copy machines are faster to repair, we can set up the following null and alternative hypotheses:

Null Hypothesis (H₀): The mean repair time for the new copy machines is the same as the mean repair time for the older model.

Alternative Hypothesis (H₁): The mean repair time for the new copy machines is less than the mean repair time for the older model.

Let's perform a one-sample t-test to test these hypotheses. The test statistic is calculated as:

t = (sample mean - population mean) / (sample standard deviation / √(sample size))

Given:

Population mean (μ) = 93 minutes

Sample mean (\(\bar x\)) = 86.8 minutes

Sample standard deviation (s) = 14.6 minutes

Sample size (n) = 18

Significance level (α) = 0.10

Calculating the test statistic:

t = (86.8 - 93) / (14.6 / sqrt(18))

t = -6.2 / (14.6 / 4.24264)

t ≈ -2.677

The degrees of freedom for this test is n - 1 = 18 - 1 = 17.

Now, we need to determine the critical value for the t-distribution with 17 degrees of freedom and a one-tailed test at a significance level of 0.10. Consulting a t-table or using statistical software, the critical value is approximately -1.333.

Since the test statistic (t = -2.677) is less than the critical value (-1.333), we reject the null hypothesis.

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The expression where the greatest common factor (GCF) is factored completely is \(2x^3y + 18xy - 10x^2y - 90y = 2y(x^3 + 9x - 5x^2 - 45)\)

The expression completely factored in is

\(2y(x^3 + 9x - 5x^2 - 45) = 2y[x(x^2 - 5) + 9(x^2 - 5)]\\= 2y(x - 5)(x^2 + 9)\)

Please refer below for the remaining answers.

We have,

Part A:

To rewrite the expression 2x³y + 18xy - 10x²y - 90y so that the greatest common factor (GCF) is factored completely, we can factor out the common terms.

GCF: 2y

\(2x^3y + 18xy - 10x^2y - 90y = 2y(x^3 + 9x - 5x^2 - 45)\)

Part B:

To completely factor the expression, we can further factor the quadratic term.

\(2y(x^3 + 9x - 5x^2 - 45) = 2y[x(x^2 - 5) + 9(x^2 - 5)]\\= 2y(x - 5)(x^2 + 9)\)

Now,

Part A:

To determine the length of each side of the square given the area expression (9x² + 24x + 16), we need to factor it completely.

The area expression (9x² + 24x + 16) can be factored as (3x + 4)(3x + 4) or (3x + 4)².

Therefore, the length of each side of the square is 3x + 4.

Part B:

To determine the dimensions of the rectangle given the area expression (16x² - 25y²), we need to factor it completely.

The area expression (16x² - 25y²) is a difference of squares and can be factored as (4x - 5y)(4x + 5y).

Therefore, the dimensions of the rectangle are (4x - 5y) and (4x + 5y).

Now,

f(x) = 2x² - 5x + 3

Part A:

To find the x-intercepts of the graph of f(x), we set f(x) equal to zero and solve for x.

2x² - 5x + 3 = 0

The quadratic equation can be factored as (2x - 1)(x - 3) = 0.

Setting each factor equal to zero:

2x - 1 = 0 --> x = 1/2

x - 3 = 0 --> x = 3

Therefore, the x-intercepts of the graph of f(x) are x = 1/2 and x = 3.

Part B:

To determine if the vertex of the graph of f(x) is maximum or minimum, we can examine the coefficient of the x^2 term.

The coefficient of the x² term in f(x) is positive (2x²), indicating that the parabola opens upward and the vertex is a minimum.

To find the coordinates of the vertex, we can use the formula x = -b / (2a), where a and b are the coefficients of the quadratic equation.

For f(x),

a = 2 and b = -5.

x = -(-5) / (2 x 2) = 5/4

To find the corresponding y-coordinate, we substitute this x-value back into the equation f(x):

f(5/4) = 25/8 - 25/4 + 3 = 25/8 - 50/8 + 24/8 = -1/8

Therefore, the vertex of the graph of f(x) is at the coordinates (5/4, -1/8), and it is a minimum point.

Part C:

To graph f(x), we can start by plotting the x-intercepts, which we found to be x = 1/2 and x = 3.

These points represent where the graph intersects the x-axis.

Next,

We can plot the vertex at (5/4, -1/8), which represents the minimum point of the graph.

Since the coefficient of the x² term is positive, the parabola opens upward.

We can use the vertex and the symmetry of the parabola to draw the rest of the graph.

The parabola will be symmetric with respect to the line x = 5/4.

We can also plot additional points by substituting other x-values into the equation f(x) = 2x² - 5x + 3.

By connecting the plotted points, we can draw the graph of f(x).

The steps to graph f(x) involve plotting the x-intercepts, the vertex, and additional points, and then connecting them to form the parabolic curve.

The answer in part A (x-intercepts) and part B (vertex) are crucial in determining these key points on the graph.

Thus,

The expression where the greatest common factor (GCF) is factored completely is \(2x^3y + 18xy - 10x^2y - 90y = 2y(x^3 + 9x - 5x^2 - 45)\)

The expression completely factored in is

\(2y(x^3 + 9x - 5x^2 - 45) = 2y[x(x^2 - 5) + 9(x^2 - 5)]\\= 2y(x - 5)(x^2 + 9)\)

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Answer:

-10 + 2

-88 + 80

Answer:

Humans have limited powers as, but most of us desire to gain the ability to have supernatural powers for fame and fortune. However, only with a radical mutation in the DNA can abilities and powers turn out in them.

Step-by-step explanation:

Answer:

I think 9 is the best answer

Answer:

9 is the answer.

Step-by-step explanation:

Given:

We can tell that '3x + 6y' is basically '15 x 3' because the whole equation has been multiplied by three. Therefore, 3x + 6y must equal 45.

=> 3x + 6y = 45

But we need to divide 45 by 5 to get the solution because the 3x + 6y has also been divided by 5.

=> 45/5

=> 9

Therefore, 9 is the answer.

\(GeniusUser\)

Answer:reflects over y- axis, reflects over x- axis, 180

Step-by-step explanation:

The distribution function of M, FM(-), is given by FM(x) = x, 0 ≤ x ≤ 1.

The probability density function of M is\(fM(x) = n * x^(^n^-^1^)\), 0 ≤ x ≤ 1.

In order to understand the distribution function of M, we need to consider the probability that M is less than or equal to a given value x. Since each Xi is uniformly distributed over (0,1), the probability that Xi is less than or equal to x is x.

For M to be less than or equal to x, all of the random variables Xi must be less than or equal to x. Since these variables are independent, their joint probability is the product of their individual probabilities. Therefore, the probability that M is less than or equal to x can be expressed as the product of n x's: P(M ≤ x) = x * x * ... * x = \(x^n\).

The distribution function FM(x) is defined as the probability that M is less than or equal to x. Therefore, FM(x) = P(M ≤ x) = \(x^n\).

To find the probability density function (PDF) of M, we differentiate the distribution function FM(x) with respect to x. Taking the derivative of \(x^n\)with respect to x gives us \(n * x^(^n^-^1^)\). Since the range of M is (0,1), the PDF is defined only within this range.

The distribution function of M is FM(x) = x, 0 ≤ x ≤ 1, and the probability density function of M is \(fM(x) = n * x^(^n^-^1^)\), 0 ≤ x ≤ 1.

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Answer:

hey I was just wondering if u could help me with my

ine

Step-by-step explanation:

thank u

The best interpretation of the slope for the predictor ‘Likelihood of Recession’ is, A one-unit increase in the Likelihood of Recession is associated with a 0.17-unit increase in Delaying Major Purchases

The best interpretation of the slope for the predictor Likelihood of Recession as discussed in class is, A one unit increase in the Likelihood of Recession is associated with a.

17 unit increase in Delaying Major Purchases.

Here, we are asked to estimate a multiple regression model to answer questions pertaining to the regression model, interpretation of slopes, determination of signification predictors, and R-Squared (R2).

Let us first write the multiple regression equation:

\(y = b0 + b1x1 + b2x2 + b3x3 + … + bkxk\)

where y is the dependent variable, x1, x2, x3, …, xk are the independent variables, b0 is the y-intercept, b1, b2, b3, …, bk are the regression coefficients/parameters of the model.

Using the Purchase Data, the multiple regression equation can be represented asDelaying Major Purchases = 4.49 + (-0.32)Gender + (0.17)

Likelihood of Recession + (0.75)

Worry about Retiring ComfortablyTo interpret the slopes of the multiple regression equation, we will find out the significance of the predictors of the regression equation.

The best way to do that is by using the P-value.

Predictors Coefficients t-test P-Value

Unstandardized Standardized Sig. t df Sig. (2-tailed)  

(Constant) 4.490        0.000

Gender -0.318 -0.056 0.019 -2.388 415.000 0.017  

Likelihood of Recession 0.171 0.152 0.000 4.834 415.000 0.000  

Worry about Retiring Comfortably 0.748 0.270 0.000 12.199 415.000 0.000  

Here, we see that the p-value of the predictor ‘Likelihood of Recession’ is less than 0.05, and it has a significant effect on delaying major purchases.

Thus, the best interpretation of the slope for the predictor ‘Likelihood of Recession’ is, A one-unit increase in the Likelihood of Recession is associated with a 0.17 unit increase in Delaying Major Purchases.

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Answer:

it is 10:00 a.m very simple

Answer:

The answer is 10:20 AM

Step-by-step explanation:

First off, add 20 to 8:50. Get 9:10. Add 20 more, get 9:30. Add 50, and get 10:20.

Answer:

to determine whether the equation of the line parallel or perpendicular.we have to find there slope.

Step-by-step explanation:

3y=15-2x

y=15/3 -2x/3

y=5-2x/3

y=-2x/3 +5

4x+6y=-48

6y=-48-4x

y=-4x/6 -48/6

y=-4x/6 -8

now to say two lines are parallel there slope should be the same

-2/3 ≠ -4/6

to say two line are perpendicular with one another the product of there slope should be -1

-2/3 * -4/6

=8/18

=4/9 which is different from -1

Answer:

12/x hours

Step-by-step explanation:

d=12

s*t=d

t=d/s

t=12/s

A final score of more than 92 earns an E, that means

E>92

A final score of 60 or less earns a U:

The inequality to represent Satisfactory grade, could be:

Answer:

28/(x-3)^3 + 18/(x-3)^2 + 3/ x-3

Step-by-step explanation:

Create a new fraction for each factor in the denominator with an unknown value in the numerator. Set this new expression equal to the given fraction and solve for the unknown values. Once found, substitute these values back into the new expression that was created.

Answer:

10.75 would be a 64 ring size in the US

Answer:

150 pallats

Step-by-step explanation:

To find the percentage of states with an infant mortality rate between 5 and 7 percent, we will use the z-score formula and the standard normal distribution table.

Steps are:
Step 1: Convert the given rates to the same unit as the mean (per 1,000 live births) by dividing them by 100. So, 5% = 5/100 * 1000 = 50 and 7% = 7/100 * 1000 = 70.

Step 2: Calculate the z-scores for the given infant mortality rates.
z-score = (X - mean) / standard deviation
For 50:
z-score = (50 - 6.98) / 1.62 = 43.02 / 1.62 ≈ 26.55
For 70:
z-score = (70 - 6.98) / 1.62 = 63.02 / 1.62 ≈ 38.90

Step 3: Find the area under the standard normal distribution curve between these z-scores. Since these z-scores are far beyond the typical range of the z-table (usually between -3.49 and 3.49), the probabilities of finding states with these z-scores are practically zero.

In this case, we can conclude that the percentage of states with an infant mortality rate between 5 and 7 percent is approximately 0%.

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Answer:

I believe it would be no real number

Step-by-step explanation:

If you use PEMDAS and multiply the (5-2c) by 2 you get 10-4c. You'd then have to isolate the c and move it over by adding 4c to each side, which would make the inequality 0>10 or even if you flipped it to be -10>0. Both of which are false.

Answer:

\(-\frac{15}{7}\)

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

Answer:

it should be -\(\frac{15}{7}\)

Step-by-step explanation:

Answer:

the percent error is 10%

Step-by-step explanation:

Given that

The estimate value of the marbles is 60

And, the actual amount is 54 marbles

We need to find out the percent error

As we know that

Percent error = (Estimated - actual)  ÷ (Estimated) × 100

= (60 - 54) ÷ 60 × 100

= 10%

Hence, the percent error is 10%

We simply applied the above formula