Angela wants to wrap a rectangular shape present that is 6 inches long, 10 inches wide, and 4 inches height. how much wrapping paper will she need?

The parabola x = √(y - 9) opens upwards.The given parabolic equation is x = √(y - 9). Let's identify the direction of opening of this parabola.The general form of the equation of a parabola is y = a(x - h)² + k.

Comparing this to the given equation, we can see that h = 0 and k = 9. The vertex is therefore (h, k) = (0, 9). Now, let's determine whether the parabola opens upwards or downwards.

If the coefficient of (x - h)² is positive, the parabola opens upwards, and if it's negative, the parabola opens downwards. In this case, since the coefficient of (x - h)² is 1, which is positive, the parabola opens upwards.

Therefore, the parabola x = √(y - 9) opens upwards.

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Answer:

Step-by-step explanation:

22.57 cm inches are the net weight of the slope

The inequality 3/7 x 7 ≤ 7 is true.

The left-hand side, which simplifies to 3, is less than or equal to the right-hand side, which is 7.

To evaluate the inequality 3/7 x 7 ≤ 7, we can simplify the expression on the left-hand side and compare it to the value on the right-hand side.

First, let's calculate 3/7 x 7:

(3/7) x 7 = 3

So, the expression simplifies to 3 ≤ 7.

Now, let's compare 3 to 7. Since 3 is less than 7, we can conclude that 3 ≤ 7 is true. In other words, 3 is less than or equal to 7.

To understand this visually, imagine a number line. Placing a point at 3 and another point at 7, we can see that 3 is to the left of 7. The "less than or equal to" symbol (≤) indicates that the left-hand side can be equal to or less than the right-hand side. In this case, 3 is indeed less than 7, satisfying the inequality.

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Answer:

2(5) + 2√(3^2 + 7^2) = 10 + 2√58 = 25.2

B is the correct answer.

The number of points gained overall by Julia playing the game is 30 point

From the question, we have the following parameters that can be used in our computation:

Tax paid for a new quest = 2.5 points

Total points gained playing the game = 75 points

The above parameters can be represented as

The number of points gained overall = Total points gained playing the game/Tax paid for a new quest

Substitute the known values in the above equation, so, we have the following representation

The number of points gained overall = 75/2.5

Express as a correct fraction

So, we have the following representation

The number of points gained overall = 750/25

Evaluate the quotients

So, we have the following representation

The number of points gained overall = 30

Hence, the number of points gained overall =is30

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Step-by-step explanation:

Given system of equations are :

-3y = x+5 ....(1)

y = 2x+2 ...(2)

We need to find the solution of the equations.

Multiply equation (2) by 2.

-6y = 2x+10 ...(3)

Subtract equation (2) and (3).

y-(-6y)= 2x+2-(2x+10)

7y=2x+2-2x-10

7y=-8

y = 8/7

Put the value of y in equation (2)

\(\dfrac{8}{7}=2x+2\\\\\dfrac{8}{7}-2=2x\\\\x=\dfrac{\dfrac{-6}{7}}{2}\\\\x=\dfrac{-3}{7}\)

Hence, this is the required solution.

Answer:

\(a^{2}\)

Step-by-step explanation:

The formula for the area of a square is length * length, or in this case a * a.

Answer:

A = a^2

Step-by-step explanation:

The area of a square is given by

A = s^2 where s is the side length

The side length is a

A = a^2

The value in the solution of the inequality is 32

Inequality expressions are mathematical statements where the opposite sides are not equal

From the question, we have the following expression that can be used in our computation:

1/4y 8

When expressed properly, we have the following representation

1/4y ≤ 8

Multiply through both sides of the inequality expression by 4

So, we have the following representation

4 * 1/4y ≤ 8 * 4

Evaluate the products

This  gives

y ≤ 8 * 4

Evaluate the products

This  gives

y ≤ 32

This means that values less than or equal to 32 are included in the solution

A sample of this number is 32

Hence, the value in the solution is 32

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Possible question

which value is a solution of the ineqality 1/4y ≤ 8

Answer: The Answer is 32

Step-by-step explanation: Took Quiz

As a result, the borrower can qualify for a loan amount of $476,757.76, expression resulting in a monthly principal and interest payment of $1,587.50, assuming a monthly escrow requirement of $360.

In mathematics, an expression is a grouping of representations, digits, and huge corporations that resemble a clear relationship or regimen. An expression can be a real number, a transitory, or a combination of the two. Addition, subtraction, pervasiveness, division, and exponentiation are examples of mathematical operators. Expressions are common in arithmetic, mathematics, and geometry. They are used in mathematical formula representation, equation solution, and mathematical relationship simplification.

To solve this problem, we must use the loan program's single ratio, which is 45%. This is the maximum debt-to-income (DTI) ratio a borrower can have in order to qualify for the loan.

$65,000 divided by 12 months equals $5,416.67 per month

$5,416.67 divided by 45% equals $2,437.50 per month

$2,437.50 minus $360 equals $2,077.50 per month

$2,077.50 minus $490 equals $1,587.50 per month

This means that the borrower can afford a $1,587.50 monthly principal and interest payment.

Loan amount = (Monthly payment) / (Monthly interest rate)

The loan amount is ($1,587.50) divided by the loan term (0.00333)

The loan amount is $476,757.76.

As a result, the borrower can qualify for a loan amount of $476,757.76, resulting in a monthly principal and interest payment of $1,587.50, assuming a monthly escrow requirement of $360.

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Answer:

3 (x + y) (x - y)

Step-by-step explanation:

3x²-3y²​

GCF is 3

3(x² - y²)

Since both terms are perfect squares, factor using the difference of squares formula, a² − b² = (a+b) (a−b) where a = x  and b = y.

So, the answer is 3 (x + y) (x - y)

Answer:

42%-25%=17%

Step-by-step explanation:

100%-17%=67%

67%passed both first and second test

Answer:

120 four digit numbers can be created from the gives.

Step-by-step explanation:

Solution

You are given 5 digits in the givens.

1 3 5 7 9

Therefore

5 * 4 * 3 * 2 is the answer to your question. 4 and 3 and 2 determine that none of the digits can be repeated. That equals 120.

Answer: (x-4) is not a factor of the given polynomial.

===================================================

Explanation:

Rule: If (x-k) is a factor of p(x), then p(k) = 0. This is a special case of the remainder theorem. We can take this in reverse to say that if p(k) = 0, then (x-k) must be a factor of p(x).

In this case, we have k = 4 and we can find that:

p(x) = 2x^4-9x^3-20x^2+147x-180

p(4) = 2(4)^4-9(4)^3-20(4)^2+147(4)-180

p(4) = 24

The result we get is not zero, so that means (x-4) is not a factor of p(x).

The probability that a randomly selected adult has an IQ between 93 and 117 is approximately 0.6827 or 68.27%.

What is probability?

Probability is a branch of mathematics that deals with the study of random events and their outcomes. It is the measure of the likelihood of an event occurring, expressed as a number between 0 and 1.

To find the probability that a randomly selected adult has an IQ between 93 and 117, we need to standardize the distribution using the z-score formula, and then find the area under the normal distribution curve between those two z-scores.

The z-score formula is:

z = (x - μ) / σ

where x is the IQ score we are interested in, μ is the mean IQ score, and σ is the standard deviation of IQ scores.

For the lower bound of 93, the z-score is:

z = (93 - 105) / 20 = -0.6

For the upper bound of 117, the z-score is:

z = (117 - 105) / 20 = 0.6

Now, we need to find the area under the normal distribution curve between these two z-scores. We can use a standard normal distribution table or a calculator to find this probability. Using a calculator, we can use the normalcdf function:

normalcdf(-0.6, 0.6, 0, 1)

This gives us a probability of 0.6827.

Therefore, the probability that a randomly selected adult has an IQ between 93 and 117 is approximately 0.6827 or 68.27%.

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The number of minutes spent higher than 38 meters above the ground on the Ferris wheel ride is approximately 1.0918 minutes.

To solve this problem, we need to determine the angular position of the Ferris wheel when it is 38 meters above the ground.

The Ferris wheel has a diameter of 50 meters, which means its radius is half of that, or 25 meters.

When the Ferris wheel is at its highest point, the radius and the height from the ground are aligned, forming a right triangle.

The height of this right triangle is the sum of the radius (25 meters) and the platform height (4 meters), which equals 29 meters.

To find the angle at which the Ferris wheel is 38 meters above the ground, we can use the inverse sine (arcsine) function.

The formula is:

θ = arcsin(h / r)

where θ is the angle in radians, h is the height above the ground (38 meters), and r is the radius of the Ferris wheel (25 meters).

θ = arcsin(38 / 29) ≈ 1.0918 radians

Now, we know the angle at which the Ferris wheel is 38 meters above the ground.

To calculate the time spent higher than 38 meters, we need to find the fraction of the total revolution that corresponds to this angle.

The Ferris wheel completes one full revolution in 2 minutes, which is equivalent to 2π radians.

Therefore, the fraction of the revolution corresponding to an angle of 1.0918 radians is:

Fraction = θ / (2π) ≈ 1.0918 / (2π)

Finally, we can calculate the time spent higher than 38 meters by multiplying the fraction of the revolution by the total time for one revolution:

Time = Fraction \(\times\) Total time per revolution = (1.0918 / (2π)) \(\times\) 2 minutes

Calculating this expression will give us the answer in minutes.

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Answer:

Probability distribution

Step-by-step explanation:

Probability distribution is the function which describes the likelihood of possible values assuming a random variable. Alternative hypothesis is a statement which we accept or reject based on the null hypothesis. The null hypothesis is rejected or accepted on the basis of level of significance. When the p-value is greater than level of significance we fail to reject the null hypothesis and null hypothesis is then accepted. It is not necessary that all null hypothesis will be rejected at 10% level of significance. To determine the criteria for accepting or rejecting a null hypothesis we should also consider p-value.

By using the method subtraction, the indicated Z score the graph depicts IS 0.30501

To subtract in mathematics is to take something away from a group or a number of objects. The group's total number of items decreases or becomes lower when we subtract from it. The components of a subtraction issue are the minuend, subtrahend, and difference. An arithmetic operation called subtraction simulates the process of deleting items from a collection. The action of subtracting a matrix, vector, or other quantity from another according to predetermined rules in order to find the difference.

Given that,

The standard normal distribution is a normal distribution with a mean of 0 and a standard deviation of 1 and it is given by the probability density function and distribution function

Areas of the normal distribution are often represented by tables of the standard normal distribution.

Shaded area is 0.80501 according to the attachment. Then the lookup area is

Find the indicated z score.

z=x-μ/ σ

where Z is the value on the standard normal distribution, X is the value on the original distribution, μ is the mean of the original distribution, and σ is the standard deviation of the original distribution.

According to the picture below z is

z=0.80501- 0.5/1 = 0.30501

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Rewrite the function using the change-of-base identity as

\(e^{x^2} \log_{10}(2x) = e^{x^2} \dfrac{\ln(2x)}{\ln(10)}\)

Apply the product rule:

\(\left(e^{x^2} \log_{10}(2x)\right)' = \left(e^{x^2}\right)' \dfrac{\ln(2x)}{\ln(10)} + e^{x^2} \left(\dfrac{\ln(2x)}{\ln(10)}\right)'\)

Use the chain rule:

\(\left(e^{x^2} \log_{10}(2x)\right)' = e^{x^2}\left(x^2\right)' \dfrac{\ln(2x)}{\ln(10)} + e^{x^2} \dfrac{(2x)'}{2\ln(10)x}\)

Compute the remaining derivatives:

\(\left(e^{x^2} \log_{10}(2x)\right)' = 2xe^{x^2} \dfrac{\ln(2x)}{\ln(10)} + e^{x^2} \dfrac2{2\ln(10)x} = e^{x^2}\left(\dfrac{2x\ln(2x)}{\ln(10)} + \dfrac1{\ln(10)x}\right)\)

If you like, you can convert back to base-10 logarithms:

ln(2x) / ln(10) = log₁₀(2x)

1 / ln(10) = ln(e) / ln(10) = log₁₀(e)

Then

\(\left(e^{x^2} \log_{10}(2x)\right)' = e^{x^2}\left(2x\log_{10}(2x)+\frac{\log_{10}(e)}x\right)\)

According to the given statements;

Probability that a student has a dog or a cat is 92%.

Probability refers to potential. A random event's occurrence is the subject of this area of mathematics. The range of the value is 0 to 1. Mathematics has included probability to forecast the likelihood of certain events. The degree to which something is likely to happen is basically what probability means. You will understand the potential outcomes for a random experiment using this fundamental theory of probability, which is also applied to the probability distribution. Knowing the total number of outcomes is necessary before we can calculate the likelihood that a certain event will occur.

According to the given value,

student having dog= 75%

student having cat= 82%

probability that a student has a dog or a cat

P(dog or cat) = .75 + .82 - .65

P(dog or cat) = .92 = 92%

Hence , probability that a student has a dog or a cat is 92%

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Answer:

3/10

Step-by-step explanation:

From the question :

Let amount rytis get = x

Hence, amount Linda gets = 3x

Hence, amount Adam gets = 2 times what Linda gets = 2(3x) = 6x

Hence, total amount shared :

x + 3x + 6x = 10x

Amount Linda got = 3x

Therefore, fraction Linda gets = Amount gotten by Linda / total amount = 3x / 10x = 3/10

Hence, fraction gotten by Linda = 3/10

The fraction of the amount of money does Linda gets is 3/10 and this can be determined by using the arithmetic operations.

Given :

The following steps can be used in order to determine the fraction of the amount of money does Linda get:

Step 1 - Let the total amount of money Rytis get be 'x'.

Step 2 - So according to the given data, the total money Linda has is 3x.

Step 3 - According to the given data, the total money Adam has is 2(3x).

Step 4 - So, the total amount of money shared is:

x + 3x + 6x = 10x

Step 5 - So, the fraction of the amount of money does Linda get is:

\(\rm =\dfrac{3x}{10x}\)

\(= \dfrac{3}{10}\)

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Because \(-3^{2} \neq -9\)

A number squared never equals a negative number. So that's why the value of \(\sqrt{-9}\) is not -3.

Hope this helps you!

~Just a joyful teen

\(SilentNature\)

The blank spaces in the statements area. S, R, and Q  are distinct points that are collinear: b. TX and QS are distinct lines that intersect. c. Point Y and line QS are coplanar. d. Another name for plane P is: plane QSY.

Points that lie on the same straight line are collinear points.

If two lines are lie on the same plane, they are referred to as coplanar lines.

(a.) S, R, and Q are on a straight line. Therefore S, R, and Q  are distinct points that are collinear.

b. TX and QS are distinct lines that intersect.

c. Point Y and line QS are on the same plane. Therefore:

Point Y and line QS are coplanar.

d. Another name for plane P is: plane QSY.

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Answer:

1/4 cake

Step-by-step explanation:

Answer:

C. y--intercept

because it is y axis so cant write x--intercept

In statistics, a residual is defined as the difference between the predicted value of an outcome variable and the observed value of that variable. Residuals are used to evaluate how well a regression model fits the data.In order to calculate the residuals for a scatterplot, follow these steps:

Step 1: Plot the data on a scatterplot.

Step 2: Perform a regression analysis on the data to find the equation of the regression line. This equation should take the form y = mx + b, where y is the dependent variable, x is the independent variable, m is the slope of the line, and b is the y-intercept.

Step 3: Using the equation of the regression line, calculate the predicted value of y for each data point in the scatterplot.

Step 4: Subtract each predicted value of y from the actual value of y for each data point in the scatterplot. This difference is the residual for that data point.

Step 5: Plot the residuals on a new scatterplot. The x-axis of this scatterplot should be the independent variable, and the y-axis should be the residual values.

Step6: This scatterplot is called a residual plot.Residuals are useful for identifying patterns in data that the regression model fails to capture. If the residuals are randomly scattered around the horizontal axis, then the regression model is a good fit for the data. If there are clear patterns in the residual plot, then the regression model may not be a good fit for the data and further analysis is required.

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Answer:

Step-by-step explanation: true

Answer:

B) 8x + 350 ≥ 800

Step-by-step explanation:

A dance squad needs at least $800, this means the inequality sign will be greater than or equal to.

They already have $350, and each ticket is $8.

So,

8x + 350 ≥ 800

Answer:

The answer is 275 students.

Step-by-step explanation:

In 75 students, 33 students attend.

So the ratio is 33/75.

so multiply with 625.

625 x 33/75 = 275

The balance based on the.data given in the table is shown below.

Balance from day 1 to 10 = 11000

Balance from day 11 to 21= 8000

Balance from day 21 to 30- 5500

Balance on day 31 7500

Balance from day 1 to 10= 11000

Balance from day 11 to 21= 8000 Balance from day 21 to 30 5500

Balance on day 31- 7500

The average daily balance of the credit card for the month of december is:

Average daily balance The ratio of total balance from each day in cycle to the total number of days in cycle.

Total balance from each day in cycle=

(11000 x 10)+(8000 × 10)+(5500 x 10) + (7500 x 1) = 104000

Average daily balance=104000 / 31

= 8145

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