yo factor x6 - 2x4 + x2 - 2.
( x2 + 2)( x4 - 1)
x4 ( x2 - 2)
( x4 + 1)( x2 - 2)

Answer:

4

7

4 or 2.5

Step-by-step explanation:

x+2x=3x

12/3=4=x

13+1=14

14/2=7=y

13+/-3=16/10

16/4=4

10/4= 2.5

this one depends wether 3 is negative or positive

Answer:

x=3 and y=3

Step-by-step explanation:

−x+8y=21for x:

−x+8y=21

−x+8y+−8y=21+−8y(Add -8y to both sides)

−x=−8y+21

−x

−1

=

−8y+21

−1

(Divide both sides by -1)

x=8y−21

Step: Substitute8y−21forxin−4x+2y=−6:

−4x+2y=−6

−4(8y−21)+2y=−6

−30y+84=−6(Simplify both sides of the equation)

−30y+84+−84=−6+−84(Add -84 to both sides)

−30y=−90

−30y

−30

=

−90

−30

(Divide both sides by -30)

y=3

Step: Substitute3foryinx=8y−21:

x=8y−21

x=(8)(3)−21

x=3(Simplify both sides of the equation)

Answer:

A plane is a two-dimensional surface that can contain points, rays, and lines, including parallel lines.

A plane can contain several lines which might be parallel to each other.

A plane is a flat surface on which a straight line joining any two points on it would wholly lie. It is usually represented in drawings by a four‐sided figure.

A plane is a flat, two-dimensional surface that extends indefinitely.

A line can be contained in a plane.

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Answer:

1/20 of a gallon

Step-by-step explanation:

If she divides 1/4 into 5 glasses, the answer would be 0.05, or 1/20 gallons.

Answer: go over 3 up 1

Step-by-step explanation: so like go to 3 then go up 1. Then go 3 more then up 1. Should be right I apologize if I’m wrong but I should be right!

the first few coordinates are (1,3), (2,6), (3,9), (4,12), (5,15), (6,18)

Answer:

Following are the equation to this question:

Step-by-step explanation:

\(\to \frac{\sqrt{(.24)(.76)}}{60} + \frac{(.24)(.76)}{60}\\\\\to \frac{\sqrt{0.1824}}{60} + \frac{0.1824}{60}\\\\\to \frac{0.42708313}{60} + \frac{0.1824}{60}\\\\\to \frac{0.42708313+0.1824}{60} \\\\\to \frac{0.60948313}{60} \\\\\to 0.0101580522\)

Answer:

15.00+(0.25)x=c

Step-by-step explanation:

15.00+(0.25)x=c  15 is the flat out fee plus the 0.25 times the amoutn f miles then add 15+ the miles and you get the answer

Answer:1

2

x

+

1

3

y

=

5

,  

1

4

x

+

y

=

10

Step-by-step explanation:

The correct option regarding opposite rational numbers is given as follows:

Point D and Point E are opposite rational numbers because they are the same distance away from zero.

Rational numbers are all the numbers that can be represented by fractions. The opposite of a rational number is the number with the exchanged signal, for example, -2 is the opposite of 2 and vice-versa.

For this problem, we have that:

Same absolute value(distance from 0), different signals, hence the correct option is given by:

Point D and Point E are opposite rational numbers because they are the same distance away from zero.

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The value of the standard normal random variable z (z0) such that P(z ≤ z0) = 0.7090 is 0.54.

To calculate the value of the standard normal random variable z (z0), we need to use a standard normal distribution table or a calculator that can compute standard normal probabilities such that P(z ≤ z0) = 0.7090, follow these steps:

1. Identify the given probability: P(z ≤ z0) = 0.7090.
2. Look up the given probability in a standard normal distribution table or use an online calculator or software.
3. Find the corresponding z-score (z0) for the given probability.

Using a standard normal distribution table or an online calculator, the corresponding z0 value for P(z ≤ z0) = 0.7090 is approximately 0.54. Therefore, the value of the standard normal random variable z (z0) such that P(z ≤ z0) = 0.7090 is 0.54.

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Answer:

Angles 1 and 5 are corresponding

Answer:

a) 6

b) -3.5

c) 11

Step-by-step explanation:

We need to apply the given values of f and g with the respective sums.

The estimate for the sum of the numbers is 230, and the actual sum of the numbers is 209.

To estimate the sum of the numbers, we can round each number to the nearest ten and then add them together. When rounding off to the nearest tens, we look at the number at the tenth position. If it is five and above, we round it off to the next nearest tens number and if it is below five, we round it off to the previous nearest tens number.

76 rounds to 80   since 6 is above 5
6 rounds to 10 since 6 is above 5
25 rounds to 30 since 5 is located at 5 and above interval
5 rounds to 10 since 5 is located at 5 and above interval
10 rounds to 10 since 0 is below 5
87 rounds to 90 since 7 is above 5

So, the estimate for the sum of the numbers is: 80 + 10 + 30 + 10 + 10 + 90 = 230

To find the actual sum of the numbers, we simply add them together without rounding:

76 + 6 + 25 + 5 + 10 + 87 = 209

The complete question is: 76. 6 25. 5 10. 87 =

What was Sela's estimate and what is the actual sum of the number?

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The sum of the 25th term of the AP 3, 10, 17 is 171.

The sum of the 25th term of an arithmetic progression (AP) 3, 10, 17 can be found using the formula for the nth term of an arithmetic progression, which is:
aₙ = a₁ + (n - 1) d
where aₙ is the nth term, a₁ is the first term, d is the common difference, and n is the number of terms.

In this case, a₁ = 3, d = 10 - 3 = 7, and n = 25. Plugging in these values into the formula, we get:
a₂₅ = 3 + (25 - 1) 7
a₂₅ = 3 + 168
a₂₅ = 171

Therefore, the sum of the 25th term of the AP 3, 10, 17 is 171.

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Given f'(x) = 4x + 10sin(x), integrating f'(x) yields f(x) = (2/3)\(x^{3}\) - 10cos(x) + 14x + C. Using the initial conditions f(0) = 4 and f'(0) = 4, we find C = 4. Therefore, f(4) = (2/3)\(4^{3}\) - 10cos(4) + 14(4) + 4.

Given that f′(x) = 4x + 10sin(x), we can integrate this expression to find f(x). Integrating 4x gives us 2\(x^{2}\), and integrating 10sin(x) gives us -10cos(x). Therefore, f'(x) = 2\(x^{2}\) - 10cos(x) + C, where C is the constant of integration.

Using the initial condition f'(0) = 4, we can substitute x = 0 into the expression for f'(x) and solve for C:

f'(0) = 2\((0)^{2}\) - 10cos(0) + C

4 = 0 - 10(1) + C

C = 14

Now, we have the expression for f'(x): f'(x) = 2\(x^{2}\) - 10cos(x) + 14.To find f(x), we integrate f'(x): f(x) = (2/3)\(x^{3}\) - 10sin(x) + 14x + K, where K is the constant of integration.

Using the initial condition f(0) = 4, we can substitute x = 0 into the expression for f(x) and solve for K:

f(0) = (2/3)(0)  - 10sin(0) + 14(0) + K

4 = 0 - 0 + 0 + K

K = 4

Therefore, the function f(x) is given by f(x) = (2/3)\(x^{3}\) - 10sin(x) + 14x + 4.

To find f(4), we substitute x = 4 into the expression for f(x): f(4) = (2/3)\(4^{3}\) - 10sin(4) + 14(4) + 4.

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Answer:

no it is 4^8

Step-by-step explanation:

We know a^b * a^c = a^ (b+c)

4^5 * 4^3 = 4^(5+3) = 4^8

Answer:

No

Step-by-step explanation:

The correct answer is 4^8

You can add the exponents together since the bases are the same (4 = 4)

So we add 5 and 3 together

5 + 3 = 8

4^8

Hope I helped :)

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Answer:

The unit rate at HEB is $0.23 per ounce. The unit rate at Fiesta is $0.25 per ounce. So HEB has the better buy for dish soap.

Step-by-step explanation:

To calculate unit rate, you divide the price by the oz.

So for HEB, you should do $2.80/12 oz. This will equal to $0.23 per ounce. For Fiesta, you should do $2.00/8 oz. This will equal to $0.25 per ounce.

To determine which one is the better buy, the lower priced one is better, meaning HEB is the better buy.

The probability will be 0.037 or 3.7% when it is rounded to the nearest tenth.

To calculate the probability of hitting the clown's mouth, we need to compare the area of the clown's mouth to the total area of the rectangular wood piece.

The area of the clown's mouth can be found using the formula for the area of a circle: A = π * (r^2), where r is the radius. In this case, the diameter is given as 3 inches, so the radius is 1.5 inches.

Plugging the values into the formula, we get A = π * (1.5^2) = 7.065 square inches. The total area of the rectangular wood piece is 16 inches * 12 inches = 192 square inches.

Therefore, the probability of hitting the clown's mouth is 7.065 / 192 ≈ 0.0367, which rounds to 0.037 or 3.7% when expressed as a percentage rounded to the nearest tenth.

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Answer:

I would say about 13 minutes.

Step-by-step explanation:

9 4/5 KPH is about 6.1224489795918 Kilometers per minute

Multiply by 2 1/5 KPM

6.1224489795918 x 2 1/5 = 13.4693877551 Minutes

Answer: 13.469 or about 13.5 minutes

Step-by-step explanation:

Estimating part:

The first number can be rounded to 10, and second number to 2

You can set up a proportional equation

\(\frac{10 kilometers}{60 minutes} = \frac{2 kilometers}{x}\)

then cross multiply to get 10x=120, then divide to get x = 12 minutes

Exact answer:

I like making fractions into decimals to make it easier to see

The first number as a decimal is 9.8, and the second is 2.2

Set up another proportional equation

\(\frac{9.8 kilometers}{60 minutes} = \frac{2.2 kilometers}{x}\)

cross multiply to get 9.8x = 132

divide by 9.8 on both sides to get x = 13.5 minutes

There are 7 degrees of freedom.

In performing the pooled-variance t test, the degrees of freedom can be calculated using the formula:
df = (n1 - 1) + (n2 - 1)

Substituting the given values:
df = (4 - 1) + (5 - 1)
df = 3 + 4
df = 7

Therefore, there are 7 degrees of  freedom.

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There are 7 degrees of freedom for the pooled-variance t-test.

To perform a pooled-variance t-test, we need to calculate the degrees of freedom. The formula for degrees of freedom in a pooled-variance t-test is:

\(\[\text{{df}} = n_1 + n_2 - 2\]\)

where \(\(n_1\)\) and \(\(n_2\)\) are the sample sizes of the two independent samples.

In this case, \(\(n_1 = 4\)\) and \(\(n_2 = 5\)\). Substituting these values into the formula, we get:

\(\[\text{{df}} = 4 + 5 - 2 = 7\]\)

In a pooled-variance t-test, we combine the sample variances from two independent samples to estimate the population variance. The degrees of freedom for this test are calculated using the formula \(df = n1 + n2 - 2\), where \(n_1\)and \(n_2\) are the sample sizes of the two independent samples.

To understand why the formula is \(df = n1 + n2 - 2\), we need to consider the concept of degrees of freedom. Degrees of freedom represent the number of independent pieces of information available to estimate a parameter. In the case of a pooled-variance t-test, we subtract 2 from the total sample sizes because we use two sample means to estimate the population means, thereby reducing the degrees of freedom by 2.

In this specific case, the sample sizes are \(n1 = 4\) and \(n2 = 5\). Plugging these values into the formula gives us \(df = 4 + 5 - 2 = 7\). Hence, there are 7 degrees of freedom for the pooled-variance t-test.

Therefore, there are 7 degrees of freedom for the pooled-variance t-test.

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The percent change in height after the second bounce would be:

Percent change = [(h_2 - h_1) / h_1] * 100%

The expression \(25(0.93)^x\)represents the height of the ball after x bounces. To find the percent change in height after each bounce, we need to calculate the ratio of the change in height to the original height and express it as a percentage.

Let's denote the height after the first bounce as h_1, the height after the second bounce as h_2, and so on.

The percent change in height after the first bounce is given by:

Percent change = [(h_1 - original height) / original height] * 100%

Using the given expression, we can substitute x = 1 to find h_1:

h_1 = \(25(0.93)^1\) = 23.25

Therefore, the percent change in height after the first bounce is:

Percent change = [(23.25 - original height) / original height] * 100%

To find the percent change after subsequent bounces, we can continue this process. For example, after the second bounce:

h_2 = \(25(0.93)^2\)

And the percent change in height after the second bounce would be:

Percent change = [(h_2 - h_1) / h_1] * 100%

You can repeat this process for each subsequent bounce to find the percent change in height after each bounce using the given expression.

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Answer:

if it is nearest whole number it is 3

Step-by-step explanation:

To take a transpose of a matrix in MATLAB 7, we can use two ways namely transpose operator (A') and transpose function (transpose(A))

Let's analyze how to take transpose of a matrix in MATLAB 7,

To take the transpose of matrix A, you can use either of the following:

A = A';

A = transpose(A);

Example:

Define matrix A

A = [1 2 3; 4 5 6; 7 8 9];

Take the transpose of matrix A using the transpose operator

A_transpose = A';

Display the original matrix A and its transpose

disp("Matrix A:");

disp(A);

disp("Transpose of Matrix A:");

disp(A_transpose);

Output:

Matrix A:

    1     2     3

    4     5     6

    7     8     9

Transpose of Matrix A:

    1     4     7

    2     5     8

    3     6     9

In this example, we define matrix A with dimensions 3x3. We then use the transpose operator (') to obtain the transpose of matrix A, which swaps the rows and columns. Finally, we display the original matrix A and its transpose using the disp() function.

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Rental: $15

Cost per hour: $6

total rental cost =15+6x

Where x is the number of hours

Answer:

90

Step-by-step explanation:

Answer:

(5,6)

Step-by-step explanation:

Add 5 to each side since it is going in both positive directions (up and down)

(5,6)

Answer:

$33.91

Step-by-step explanation: Take 35% and change it to .35 now multiply 96.88 by .35 and you will get 33.908 round up to 33.91

Answer:

33.908

Step-by-step explanation:

To find the percentage of a certain number, you need to convert the percentage into its decimal form (0.35) and multiply it by the certain number. Then you'll have your answer!

0.35*96.88=33.908

33.908 is 35% of 96.88

Here's another example! Let's say you want to find 45% of.... 78!

45% is 45/100. The first step is to convert 45% into its decimal form. (45/100=0.45)

Then you multiply the decimal by the number you want to find the percentage of!

0.45*78=35.1

35.1 is 45% of 78!

I hope this helped :D

Answer:

y^1/2/xz^2

Step-by-step explanation: