Jacksons kitty weighed 2 pounds and 3 ounces a month later the kitty weighed 56 ounces how much weight did the kitty gain in that month

VX= 18

VW= 14

WX = ?

Since W is on line segment VX, W V and X are collinear, such as:

VX = VW+ WX

18 = 14 + WX

Solve for WX

18-14 = WX

4 = WX

Answer:

  (a)  x^2 +4x +3

Step-by-step explanation:

The attachment shows the synthetic division. The quotient is ...

  x^2 +4x +3

_____

Additional comment

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Answer:a

Step-by-step explanation:

The answer to two decimal places would be 7.98 feet, so we don't need to round further.

How to solve a  circle?

To find the diameter of a circle given its circumference, we can use the formula:

Circumference = π × Diameter

where π is the mathematical constant pi (approximately 3.14).

In this problem, we are given that the circumference of the circle is 25.12 feet. So we can plug that value into the formula:

25.12 = 3.14 × Diameter

To solve for the diameter, we need to isolate the variable (Diameter) on one side of the equation. We can do this by dividing both sides of the equation by 3.14:

25.12 ÷ 3.14 = Diameter

This gives us:

Diameter = 7.98 feet

Therefore, the diameter of the circle is approximately 7.98 feet.

It's worth noting that since the problem statement only gives π to two decimal places, we should round our answer to the same level of precision. The answer to two decimal places would be 7.98 feet, so we don't need to round further.

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The Spearman rank-order correlation coefficient is a measure of the direction and strength of the linear relationship between two ordinal variables.

Spearman's rank-order correlation is used when two variables are measured on an ordinal scale.

What is the Spearman Rank-Order Correlation Coefficient?

The Spearman Rank-Order Correlation Coefficient is a non-parametric statistical measure that estimates the relationship between two variables using ordinal data.

It evaluates the strength and direction of a relationship between two variables by rank-ordering the data.

The Spearman correlation coefficient, named after Charles Spearman, calculates the association between two variables' rankings.

The correlation coefficient ranges from -1 to +1. A value of +1 indicates that there is a perfect positive relationship between the variables, whereas a value of -1 indicates that there is a perfect negative relationship between the variables.

In contrast, a value of 0 indicates that there is no correlation between the variables.

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The equation of the ellipse with center (1, 4), vertices (10, 4), and (1, 2) is (x - 1)^2/9 + (y - 4)^2/4 = 1.To determine the equation of an ellipse, we need the center and the lengths of the major and minor axes

the coordinates of the vertices. In this case, we have the center at (1, 4) and the vertices at (10, 4) and (1, 2). Step 1: Finding the center: The center of the ellipse is given as (1, 4). This means the point (1, 4) lies at the center of the ellipse. Step 2: Finding the lengths of the major and minor axes: The major axis of an ellipse represents the longest diameter, while the minor axis represents the shortest diameter. In this case, the major axis is the line segment connecting the two given vertices: (10, 4) and (1, 4). The length of the major axis is the distance between these two points, which is 10 - 1 = 9 units. The minor axis is the line segment connecting the other two given vertices: (1, 2) and (1, 4). The length of the minor axis is the distance between these two points, which is 4 - 2 = 2 units. Step 3: Writing the equation in standard form:The standard form of the equation of an ellipse with center (h, k), where a is the semi-major axis and b is the semi-minor axis, is

\([(x - h)^2 / a^2] + [(y - k)^2 / b^2] = 1\)

Plugging in the values from our given ellipse, we have:

\([(x - 1)^2 / (9/2)^2] + [(y - 4)^2 / 2^2] = 1\)

Simplifying, we get:

[(x - 1)^2 / 81/4] + [(y - 4)^2 / 4] = 1

Multiplying both sides by 81/4 to eliminate the fraction, we have:

[(x - 1)^2 / 9] + [(y - 4)^2 / 4] = 1

Therefore, the equation of the ellipse with center (1, 4), vertices (10, 4) and (1, 2) is (x - 1)^2/9 + (y - 4)^2/4 = 1.

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Answer:

21

Step-by-step explanation:

Since the girls have the same age, let their age be x.
Then, their average is

\(\frac{x+x}{2} = \frac{2x}{2} = x\)

Let \(S_{i}\) denote the age of 'i' girls.
Then, \(S_{8} = S_{6} + x + x - eq(1)\)

Also, we have,

\(\frac{S_{8}}{8} =15 - eq(2)\)

\(\frac{S_{6}}{6} =13 - eq(3)\)

Then eq(2):

(from eq(1) and eq(3))

\(\frac{S_{6} + 2x}{8} =15\\\\\frac{13*6 + 2x}{8} = 15\\\\78+2x = 120\\\\2x = 120-78\\\\x = 21\)

The average of the other two girls with equal age​ is 21

Answer:

x = 3, y = - 1

Step-by-step explanation:

Given the 2 equations

6x + 4y = 14 → (1)

- 5x + 12y = - 27 → (2)

Multiplying (1) by - 3 and adding to (2) will eliminate the y- term

- 18x - 12y = - 42 → (3)

Add (2) and (3) term by term to eliminate y

- 23x + 0 = - 69

- 23x = - 69 ( divide both sides by - 23 )

x = 3

Substitute x = 3 into either of the 2 equations and solve for y

Substituting into (1)

6(3) + 4y = 14

18 + 4y = 14 ( subtract 18 from both sides )

4y = - 4 ( divide both sides by 4 )

y = - 1

solution is (3, - 1 )

The cube root of x⁶ is x², and the cube root of y⁵ is y^(5/3). Combining these simplifications, we have -∛250x²y^(5/3) as the simplified form of ³√-250x⁶y⁵.

To simplify ³√-250x⁶y⁵, we can break it down into its factors and simplify each part separately.
First, let's look at the cube root of -250. The cube root of a negative number will be negative, so the cube root of -250 is -∛250.

Next, let's simplify the variables. The cube root of x⁶ is x², and the cube root of y⁵ is y^(5/3).
Combining these simplifications, we have -∛250x²y^(5/3) as the simplified form of ³√-250x⁶y⁵.

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Answer:

y= 32x

Step-by-step explanation:

Use slope formula

192-128/6-4= 64/2

M=32x

Find y-intercept (if any)

128=32(4)+b

128=128+b

B=0

A binomial is a factor of a polynomial has been determined by using the

polynomial division method.

To determine if a binomial is a factor of a polynomial, you can use the polynomial division method. The basic idea is to divide the polynomial by the binomial and check if the remainder is zero. If the remainder is zero, then the binomial is a factor of the polynomial. Here's the step-by-step process:

Write the polynomial and the binomial in standard form, with the terms arranged in descending order of their exponents.

Perform the long division of the polynomial by the binomial, similar to how you would divide numbers. Start by dividing the highest degree term of the polynomial by the highest degree term of the binomial.

Multiply the binomial by the quotient obtained from the division and subtract the result from the polynomial.

Repeat the division process with the new polynomial obtained from the subtraction step.

Continue dividing until you reach a point where the degree of the polynomial is lower than the degree of the binomial.

If the remainder is zero, then the binomial is a factor of the polynomial. If the remainder is non-zero, then the binomial is not a factor.

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Answer:

9 < 37

Step-by-step explanation:

4 + 5 = 9

9 = 37

9 < 37

~ Lady Brain

Hey there!

AB/CD

= 5(-2) / 4(-6)

= -10 / -24

= 5/12

Answer: -10/-24 or 5/12

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

Answer:

=3x^5−53x^3−20x^2−10x−40

Step-By-Step explanation:

=(3x^4+−12x^3+−5x^2+−18+8)(x+4)

=(3x^4)(x)+(3x^4)(4)+(−12x^3)(x)+(−12x^3)(4)+(−5x^2)(x)+(−5x^2)(4)+(−18)(x)+(−18)(4)+(8)(x)+(8)(4)

=3x^5+12x^4−12x^4−48x^3−5x^3−20x^2−18x−72+8x+32

=3x^5−53x^3−20x^2−10x−40

Answer:

5, 30, and 70

Step-by-step explanation:

Multiply by  number of quarters by 5 to get the number of nickels.

Two variables that are linearly connected have a consistent rate of change since a line's slope is unique.

The slope of a line, which shows the rate of change between two variables, is determined by dividing the change in one variable's value by the change in the other variable's value. A straight line can be used to depict the relationship between two variables when they are linearly related, and the slope of the line indicates how quickly the variables are changing.

Since no two lines have the same slope, the rate of change of two variables with linear relationships is constant and remains constant.

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The expressions are simplified to give;

7. 4n³(3n² + 4)

8. -3x(3x² - 4)

9. 5(k² - 8k + 2)

10. -10(6 + 6n² + 5n³)

11. 3(6n³ - 4n - 7)

12. 9(7n³ + 9n + 2)

Algebraic expressions are defined as mathematical expressions that are composed of variables, coefficients, terms, factors and constants.

These algebraic expressions are also made up of arithmetic operations, such as;

To factorize the expressions, we have;

12n⁵ + 16n³

Find the common term

4n³(3n² + 4)

-9x³ - 12x

find the common term

-3x(3x² - 4)

5k² - 40k + 10

find the common terms

5(k² - 8k + 2)

-60 + 60n² + 50n³

find the common term

-10(6 + 6n² + 5n³)

18n³ -12n - 21

find the common term

3(6n³ - 4n - 7)

63n³ + 81n + 18

Find the common term

9(7n³ + 9n + 2)

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The amount will be equal to $1348.07. The correct option is A.

Compound interest is the interest levied on the interest. The formula for the calculation of compound interest is given as:-

\(\rm A = P(1+\dfrac{r}{n})^{nt}\)

Compound Interest Formula:

A = Account Balance

P = Principle/Initial Amount

r = Rate of Interest (decimal)

n = Number of times compounded (per year)

t = Number of Years

Given Information

Account Balance = ?

It is given that the balance after 15 years in a savings account earns 2% interest compounded bi-monthly when the initial deposit is 1000.

This is because we are gaining money, so the multiplier should be greater than 1. We already added 1, which is 100% so you simply add the 0.02 for the extra 2%.

Number of times compounded per year = 6

This is because it is being compounded bi-monthly, or once every 2 months. 12 months divided by 2 months is 6 months, so 6 times a year.

Number of years = 15

Solve by plugging the given values into the formula.

\(\rm A = P(1+\dfrac{r}{n})^{nt}\)

\(\rm A = 1000(1+\dfrac{0.02}{6})^{6 \times 15}\)

A = 1000 x (1.14)

A = $1348.07.

Therefore, the amount will be equal to $1348.07. The correct option is A.

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The equation has 3 solutions (determined by the degree of polynomial and non-extreme case).

If you use cubic equation to try and solve the equality you get

\(x_1\approx-0.88 \\ x_2\approx1.35 \\ x_3\approx2.53\)

Clearly third one is in \((2,3)\) so the statement that one solution is between 2 and 3 is true.

Hope this helps.

Question 1a

To calculate the book value at the end of the first year using straight-line depreciation, we need to determine the annual depreciation expense first. The straight-line method assumes that the asset depreciates by an equal amount each year over its useful life. Therefore, we can use the following formula to calculate the annual depreciation:

Annual Depreciation = (Cost - Salvage Value) / Useful Life

Substituting the given values, we get:

Annual Depreciation = ($200,000 - $20,000) / 10 years = $18,000 per year

This means that the tractor will depreciate by $18,000 each year for the next 10 years.

To determine the book value at the end of the first year, we need to subtract the depreciation expense for the year from the original cost of the tractor. Since one year has passed, the depreciation expense for the first year will be:

Depreciation Expense for Year 1 = $18,000

Therefore, the book value of the tractor at the end of the first year will be:

Book Value = Cost - Depreciation Expense for Year 1

= $200,000 - $18,000

= $182,000

So the book value of the tractor at the end of the first year, December 31, 2022, using straight-line depreciation is $182,000. so the answer is D

Question 1(b)

To determine the farmer's noncurrent liabilities, we need to use the information provided to calculate the total liabilities and then subtract the current liabilities from it. Here's the step-by-step solution:

Calculate the total current liabilities using the current ratio:

Current Ratio = Current Assets / Current Liabilities

2 = $80,000 / Current Liabilities

Current Liabilities = $80,000 / 2

Current Liabilities = $40,000

Calculate the total liabilities using the debt/equity ratio:

Debt/Equity Ratio = Total Liabilities / Owner Equity

1.0 = Total Liabilities / $100,000

Total Liabilities = $100,000 * 1.0

Total Liabilities = $100,000

Subtract the current liabilities from the total liabilities to get the noncurrent liabilities:

Noncurrent Liabilities = Total Liabilities - Current Liabilities

Noncurrent Liabilities = $100,000 - $40,000

Noncurrent Liabilities = $60,000

Therefore, the farmer's noncurrent liabilities are $60,000. so the answer is B.

Answer:

you have a one out of 3 chance of picking an orange marble. divide 54 by 3 equals 18, the number of times you will pick an orange marble

Answer:

18

Step-by-step explanation:

1 out of 3 percent chance of picking an orange marble. 54 ÷ 3 = 18, also the number of times you'll pick an orange marble. Have a nice day!

Answer:

35%

Step-by-step explanation:

He pays 525 out of 1500 dollars.

525/1500 = 7/20

= 0.35

Marlon pays in rent 35% of his earnings.

For y-fx)=xex-5, when x= 5 and dx=0.1 : dy Hence the linear approximation using dy is f(5.1)-f(5)+dy)= 0%:  the linear approximation using dy is f(5.1)-f(5)+dy)= 0% (rounded to the nearest percent).

The problem is asking for the linear approximation of the function f(x) = xex-5 at x=5 using dy, when dx=0.1.

To begin, we need to find dy. We can do this by taking the derivative of f(x) with respect to x and then plugging in x=5 and dx=0.1:

f'(x) = ex + xex-5
f'(5) = e^5 + 5e^0 = e^5 + 5

dy = f'(5) dx = (e^5 + 5)(0.1) = e^5/10 + 0.5

Now we can use the linear approximation formula:

f(x+dx) ≈ f(x) + f'(x) dx

Plugging in x=5, dx=0.1, and dy=e^5/10 + 0.5:

f(5.1) ≈ f(5) + f'(5) (0.1) + dy
f(5.1) ≈ (5e^0) + ((e^5 + 5)(0.1)) + (e^5/10 + 0.5)
f(5.1) ≈ 5.7e^0 + 1.05e^5 + 1

Finally, we can check the accuracy of this linear approximation by calculating the percentage error:

(f(5.1) - f(5) - dy) / f(5.1) x 100%

= [(5.7e^0 + 1.05e^5 + 1) - (5e^0 + e^5 - 5) - (e^5/10 + 0.5)] / (5.7e^0 + 1.05e^5 + 1) x 100%

= -0.0005%

Therefore, the linear approximation using dy is f(5.1)-f(5)+dy)= 0% (rounded to the nearest percent).

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Answer:

0.52=0.42+0.23-P(A and B)

P(A and B)=0.13.

Step-by-step explanation:

If this is right, please rate. Im sure its right though.

The length of the Mississippi River is 4.26 times as great as the length of Colorado River

The length of Rio Grande is 2.87 times as large as the  length of the Colorado River

The length of the Mississippi River is 1.48 times as large as the Rio Grande River

In order to determine how much greater the length of a river is greater than that of another river, divide the length of longer river by the shorter river

a. Length of the Mississippi River / length of Colorado River

3.93 x 10³ ÷ 9.23 × 10² = 4.26 times

b. Length of the Rio Grande /  length of Colorado River

2.65 x 10³ ÷ 9.23 × 10² = 2.87 times

c. . Length of the Mississippi River / length of the Rio Grande

3.93 x 10³ ÷ 2.65 x 10³ = 1.48 times

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The logarithmic identity log a + log b = log (ab) on the right-hand side, we get:

log(30/14) = log(225/196)

The equation log(x+15) = logx + log15, we can use the logarithmic identity that states log a + log b = log (ab).

The right-hand side of the equation, we get:

log(x+15) = log(15x)

The one-to-one property of logarithms, states that if log a = log b, then a = b.

we have:

x + 15 = 15x

Simplifying this equation, we can subtract x from both sides and add 15 to both sides to get:

15 = 14x

Finally, we can divide both sides by 14 to get:

x = 15/14

The solution to the equation log(x+15) = logx + log15 is x = 15/14.

We should check this solution by plugging it back into the original equation to make sure that both sides of the equation are equal:

log(15/14 + 15) = log(15/14) + log(15)

Simplifying the left-hand side, we get:

log(30/14) = log(15/14) + log(15)

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Equation: y * 5 = 85

In this equation, 'y' represents the number of learners in class 9T, and '5' represents the number of pencils each learner receives. The equation states that the product of the number of learners (y) and the number of pencils each learner receives (5) is equal to the total number of pencils (85) that Mrs. Leclerc shares among the learners.

This equation can be used to solve for the value of 'y' by dividing both sides of the equation by 5. By doing so, we can determine the number of learners in class 9T based on the given information about the number of pencils shared.

For example, if we divide 85 by 5, the result is 17. Therefore, there are 17 learners in class 9T.

In summary, the equation y * 5 = 85 represents the situation where Mrs. Leclerc shares 85 pencils between the learners in class 9T, with each learner receiving 5 pencils. By solving the equation, we can find the number of learners in the class, which in this case is 17.

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Answer:

A correlation of -1.00 indicates a strong negative correlation. This means that as one variable increases, the other variable decreases at a constant rate. In other words, there is a perfect inverse relationship between the two variables, with one increasing as the other decreases and vice versa. This is the strongest possible negative correlation.

The correlation coefficient ranges from -1 to 1, with -1 indicating a strong negative correlation, 0 indicating no correlation, and 1 indicating a strong positive correlation. Positive correlations indicate that as one variable increases, the other variable also increases. Negative correlations indicate that as one variable increases, the other decreases.

In summary, a correlation of -1.00 indicates a strong negative correlation, meaning that there is a perfect inverse relationship between the two variables.

Use an alternative method such as the binomial test or the exact test for proportions when np is less than five.

When the product of the sample size (n) and the population proportion (p) is less than five (np < 5), the conditions for applying the normal approximation to the binomial distribution are not met. In such cases, it is recommended to use alternative methods to perform a valid hypothesis test.

One common approach is to utilize the exact test or Fisher's exact test. This method calculates the probabilities directly based on the binomial distribution, providing more accurate results when the sample size is small or np is low.

By employing the exact test, you consider all possible outcomes and calculate the exact probabilities of observing the data under the null hypothesis. This allows for a reliable hypothesis test, even when the normal approximation is not suitable.

Therefore, to perform a valid hypothesis test when np is less than five, you should opt for the exact test or Fisher's exact test rather than relying on the normal approximation.

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