y=-14x+29
y=x-16

what is the answer to x and y please show me step by step. Thank you

The volume of the sphere is option (d) 904.32 cm³

Volume is a measure of the amount of three-dimensional space occupied by a substance, object, or region of space

The formula for the volume of a sphere is V = (4/3)πr³, where r is the radius of the sphere.

Substituting r = 6 cm and π ≈ 3.14 into the formula, we get:

V = (4/3) × 3.14 × 6³

Find the cube of the number

V = (4/3) × 3.14 × 216

Multiply the numbers

V ≈ 904.32

Rounding the answer to the nearest hundredth, we get approximately 904.32 cm³.

Therefore, the correct option is (d) 904.32 cm³.

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The given question is incomplete, the complete question is:

What is the approximate volume of the sphere when the radius is 6 cm?

Use 3.14 to approximate pi and round the answer to the nearest hundredth if necessary.

a) 48 cm³

b) 150.72 cm³

c) 288.00 cm³

d) 904.32 cm³

Answer:

23 degrees

Step-by-step explanation:

Sum of all angles in a triangle add up to 180.

Right triangle consists of three angles, one a right angle which is a 90 degree angle and two other angles.

Therefore, 67+90 = 157. 180-157 = 23.

23 degrees

Answer:

a. 58/99

b. 53/90

c. 29/50

Step-by-step explanation:

An equation that best models the situation include the following: A. y = 34x² - 334x + 1075.

In order to determine an equation for the line of best fit (trend line) that models the data points contained in the table, we would have to use a graphing calculator (scatter plot).

In this scenario, the number of months would be plotted on the x-axis of the scatter plot while the units would be plotted on the y-axis of the scatter plot.

Based on the scatter plot (see attachment) which models the relationship between the number of months and units, an equation for the line of best fit is given by:

y = 34x² - 334x + 1075

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The sampling variability can be reduced by increasing the sample size. Hence, it is essential to ensure that a large enough sample size is used to obtain reliable estimates of population parameters.

Parameter and statistic: Parameter is a value that describes the population, while statistic is a value that describes a sample.

Parameters are usually represented using Greek letters, while statistics are usually represented using Roman letters. In other words, a parameter is a population characteristic, whereas a statistic is a sample characteristic.

P and p hat: P represents the true proportion of a population with a particular attribute, while p hat represents the proportion of a sample with that attribute. P hat is an estimate of the true proportion p, which may differ from the actual proportion due to sampling error.

Sampling variability: Sampling variability is the variation in sample statistics that occurs from sample to sample. It is the result of the fact that different samples of the same size drawn from the same population will produce different estimates of the population parameter due to random sampling error. The sampling variability can be reduced by increasing the sample size. Hence, it is essential to ensure that a large enough sample size is used to obtain reliable estimates of population parameters.

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The statement that must be true is: Carter withdrew or spent $150 during the month.

Deposit is money held in a bank account or with another financial institution that requires a transfer from one party to another.

If Carter had a total of $50 in his bank account at the start of the month and made deposits totaling $150 during the month, then he had a total of $200 in his account during the month.

Since he still had a total of $50 in his account at the end of the month, it means that he must have spent or withdrawn $150 during the month, which is equal to the total amount of deposits he made.

Therefore, the statement that must be true is: Carter withdrew or spent $150 during the month.

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The solutions to the equation 2x² + 12x = 26 are x = -7 and x = 1.

How to solve equation?

To solve the equation 2x² + 12x = 26, we need to bring all the terms on one side of the equation and then factorize or use the quadratic formula to find the values of x that satisfy the equation.

First, we can simplify the equation by dividing both sides by 2 to get:

x² + 6x = 13

Now, we can bring all the terms to one side by subtracting 13 from both sides:

x² + 6x - 13 = 0

To factorize the quadratic expression, we need to find two numbers that multiply to give -13 and add to give 6. These numbers are 7 and -1, since 7 * -1 = -7 and 7 + (-1) = 6. So we can rewrite the equation as:

(x + 7)(x - 1) = 0

Now we can use the zero product property to find the values of x that satisfy the equation:

x + 7 = 0 or x - 1 = 0

Solving for x in each equation, we get:

x = -7 or x = 1

Therefore, the solutions to the equation 2x² + 12x = 26 are x = -7 and x = 1.

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The length of AD is approximately 9.2 units.

A triangle is a geometric figure that is formed by three line segments joining three non-collinear points in a plane. It is a three-sided polygon and the most basic two-dimensional shape. A triangle has three interior angles and three vertices. The sum of the interior angles of a triangle is always 180 degrees, and each angle is measured in degrees. Triangles can be classified based on the length of their sides and the measures of their angles. There are several types of triangles such as equilateral, isosceles, scalene, acute, right, and obtuse triangles. Triangles are used in various fields such as engineering, architecture, mathematics, and physics, and they are an essential part of many geometric calculations and constructions.

To solve this problem, we can use the angle bisector theorem which states that if a line bisects an angle of a triangle, then it divides the opposite side into two segments that are proportional to the adjacent sides.

Let AD = x. Then we can set up the following proportion:

AC/CD = AB/BD

Substituting the given values, we get:

24/x = 15/(18 - x)

Simplifying this equation, we get:

360 - 15x = 24x

39x = 360

x = 9.23 (rounded to the nearest tenth)

Therefore, the length of AD is approximately 9.2 units.

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Step-by-step explanation & Answer:

It's easier to compare two functions if you can compare them by graphs.

The first function is a polynomial function - try your best to put these in standard form so that you can see where the roots/x-intercepts are. You can set the function equal to zero to find the roots, as well as set x=0 to find our y-intercept.

The second function is an exponential function.  These always diverge ("shoot off") to positive infinity on the y-axis, and are asymptotic on the x axis, diverging to negative infinity. The only difference is made by a +5 here...that is a ENTIRE vertical shift up of 5 units <— Answer! Exponential functions also have a special y-intercept...think about what will happen if this intercept is shifted up 5 units.

! Know the forms of these two functions and how to graph them and it will make them much easier to compare !

After solving the given fraction 2 3/7+4 6/7, the resultant answer is 51/7.

Fractions represent any number of parts of a whole, or more generally equal parts.

In everyday English, fractions represent how many parts of a particular size there are. 8, 3/4.

Fractions represent a whole object or part of a collection.

A fraction consists of two parts. The number at the top of the line is called the counter. Indicates how many equal parts of the whole or collection are taken.

The number below the line is called the denominator.  

So, solve the fractions as follows:

= 2 3/7+4 6/7

= 14+3/7 + 28+6/7

= 17/7 + 34/7

= 17+34/7

= 51/7

Therefore, after solving the given fraction 2 3/7+4 6/7, the resultant answer is 51/7.

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Complete question:

Solve the fractions: 2 3/7+4 6/7

Answer: 9

Step-by-step explanation:

Let's first represent the given information in the form of an equation. We know that the long sleeve t-shirts (x) cost $27 each, and the short sleeve t-shirts (y) cost $20 each. Elijah collected $543 in total. So we can write the equation as:

27x + 20y = 543

We also know that Elijah sold 15 short sleeve t-shirts (y), so we can plug that value into the equation:

27x + 20(15) = 543

Now, we solve for x:

27x + 300 = 543

Subtract 300 from both sides of the equation:

27x = 243

Now, divide by 27:

x = 9

So Elijah sold 9 long sleeve t-shirts.

Number of long sleeve t shirts that Elijah sell is 9 long sleeve t shirts.

Linear equations are equation involving one or more expressions including variables and constants and the variables are having no exponents or the exponent of the variable is 1.

Linear equations may include one or more variables.

Given that,

The long sleeve t-shirts cost $27 each and the short sleeve t-shirts cost $20 each.

He collected a total of $543.

So, we get an equation,

27x + 20y = 543

Also, given that, Elijah sold 15 short sleeve t-shirts.

Substitute y = 15.

27x + (20 × 15) = 543

27x + 300 = 543

27x = 543 - 300

27x = 243

x = 9

Hence Elijah sold 9 long sleeve t shirts.

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Paisley would have about $48147 in her account when Jayden's money has tripled using compounding.

What is compounding ?

In mathematics, compounding refers to the process of adding interest to an investment or loan, such that the interest is earned on both the principal amount and any previously accumulated interest.

First, let's find out how many years it will take for Jayden's money to triple in value. We can use the formula for compound interest:

[tex]A = P(1 + r/n)^{(nt)[/tex]

where:

A = final amount

P = principal (starting amount)

r = interest rate (as a decimal)

n = number of times compounded per year

t = number of years

For Jayden, P = $16,000, r = 8.625% = 0.08625, n = 1 (compounded annually), and we want to find t when A = 3P = $48,000. Plugging in these values, we get:

[tex]\$48,000 = \$16,000(1 + 0.08625/1)^{(1t)[/tex]

[tex]3 = 1.08625^t[/tex]

[tex]ln(3) = t*ln(1.08625)[/tex]

[tex]t = ln(3) / ln(1.08625)[/tex]

t ≈ 13.2 years

So it will take about 13.2 years for Jayden's money to triple in value.

Next, let's find out how much Paisley will have in her account after the same amount of time, using the formula:

[tex]A = P(1 + r/n)^{(nt)[/tex]

For Paisley, P = $16,000, r = 8.375% = 0.08375, and n = 12 (compounded monthly). Plugging in t = 13.2 years, we get:

[tex]A = \$16000*(1 + 0.08375/12)^{(12*13.2)[/tex]

A ≈ $48147

Therefore, Paisley would have about $48147 in her account when Jayden's money has tripled in value, to the nearest dollar.

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By using subtraction of polynomial, The polynomial 5x2y2 - 18xy2 - 10x2y is bigger by 5x^2y^2 - 16x^2y + 5x^2 - 18xy^2 than -5x2 + 6x2y - 7xy.

To find the difference between 5x^2y^2 - 18xy^2 - 10x^2y and -5x^2 + 6x^2y - 7xy, we simply subtraction of polynomial the second expression from the first expression:

(5x^2y^2 - 18xy^2 - 10x^2y) - (-5x^2 + 6x^2y - 7xy)

= 5x^2y^2 - 18xy^2 - 10x^2y + 5x^2 - 6x^2y + 7xy (distributing the negative sign)

= 5x^2y^2 - 10x^2y + 5x^2 - 18xy^2 - 6x^2y + 7xy (rearranging terms)

= 5x^2y^2 - 16x^2y + 5x^2 - 18xy^2 (combining like terms)

Therefore, the expression 5x^2y^2 - 18xy^2 - 10x^2y is bigger than -5x^2 + 6x^2y - 7xy by 5x^2y^2 - 16x^2y + 5x^2 - 18xy^2.

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Answer:

The value of A is 62

Step-by-step explanation:

since it is parallel to C

Answer:

92 cm

Step-by-step explanation:

From (-20, 14) to (8, 14) the distance is 20 + 8 = 28

From (-20, 14) to (-20, -4) the distance is 14 + 4 = 18

perimeter = 2(length + width)

perimeter = 2(28 + 18)

perimeter = 2(46)

perimeter = 92

Answer: 92 cm

Answer:

3 Pounds

Step-by-step explanation:

If 1 slice of pie = 8 ounces that means that 6 slices would be 48 ounces because of 6 slices * 8 ounces. Now we have to take the 48 ounces and divide them by 16 because 16 ounces = 1 pound. And in doing so, 6 slices would = 3 Pounds.

The approximate length of the pendulum is 255.96 feet.

Calculus is a branch of mathematics that deals with the study of change and how things change over time.

We have the equation for the period of a pendulum as:

T = 2π√(L/32)

We need to find the length of the pendulum, L, if the period is 10 seconds. Rearranging the equation, we get:

L = 32(T/2π)²

Substituting T = 10, we get:

L = 32(10/2π)²

L ≈ 255.96 feet

Hence, the approximate length of the pendulum is 255.96 feet.

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the answer will be 3675.0 m (rounded to one decimal place)

What is rounded off?

Rounding off is a process of approximating a number to a certain degree of accuracy. When we round off a number, we usually need to specify the number of digits we want to keep or the position to which we want to round.

For example, if we want to round off 3.14159 to two decimal places, we would look at the third decimal place (which is 1) and see that it is less than 5, so we would keep the first two decimal places and round off the rest. Thus, rounding off 3.14159 to two decimal places would give us 3.14.

Rounding off is often used to simplify numbers or make them easier to work with, especially in situations where exact values are not necessary or practical.

To round 3675 m to the nearest tenth of a meter, we need to look at the hundredth digit, which is 7. Since 7 is greater than or equal to 5, we need to round up the last digit (tenth digit). Therefore, rounding 3675 m to the nearest tenth of a meter gives us:

Hence the answer will be 3675.0 m (rounded to one decimal place).

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Answer:

85.6 square units.

Step-by-step explanation:

The surface area of a rectangular prism is the sum of the areas of all six faces. To find the surface area of the given rectangular prism, we can use the formula:

Surface Area = 2lw + 2lh + 2wh

where "l" is the length, "w" is the width, and "h" is the height.

Substituting the given values, we get:

Surface Area = 2(6.8)(1.6) + 2(6.8)(3.8) + 2(1.6)(3.8)

= 21.76 + 51.68 + 12.16

= 85.6

the surface area of the rectangular prism is 85.6 square units.

To find the total value of the investment after 8 years with monthly compounding, we can use the formula:

A = P(1 + r/n)^(nt)

where:

A = the final amount

P = the principal amount (initial investment)

r = the annual interest rate (as a decimal)

n = the number of times the interest is compounded per year

t = the number of years

Plugging in the given values, we get:

A = 5000(1 + 0.025/12)^(12*8)

A ≈ $6,105.74

Therefore, the total value of the investment after 8 years is approximately $6,105.74.

So, the correct option is (a) $6,105.74.

Answer:

Step-by-step explanation

wow, never seen this before

Answer: present age of father=42

               present age of son=14

Step-by-step explanation:

let x=present age of father

56-x=present age of son

10 yrs ago:

x-10=age of father

56-x-10=46-x=age of son
age of father=8 times age of son

x-10=8(46-x)

x-10=368-8x

9x=378

x=42

56-x=14

present age of father=42

present age of son=14

Yes, there difference between the RHS Congruence Rule and Hypotenuse-Leg Theorem.

The hypotenuse leg theorem states that two right triangles are congruent if the hypotenuse and one leg of one right triangle are congruent to the other right triangle's hypotenuse and leg side. In order to prove any two right triangles congruent, we apply the HL (Hypotenuse Leg) Theorem or the RHS (Right angle-Hypotenuse-Side) congruence rule.

Answer: A

Step-by-step explanation:

A polygon is a plane figure with at least three straight sides and angles, and typically five or more. A matches with the description best.

(Sorry if you get this wrong..)

A violation of substantive due process (B)A new law fines book publishers for printing content that is considered unpatriotic. A drug dealer with several prior convictions is sent to prison without a trail.

The procedural rights guaranteed by the United States Constitution ensure that all citizens are treated equally before the law. For example, all citizens have the right to a lawyer, to a public and speedy trial, to have their case judged by a jury of their peers, etc.

In Scenario B, the drug dealer's rights are violated by law enforcement. Even if he has a criminal record, law enforcement has no right to immediately throw him in jail.

Due process is the application of all legal rules and principles relating to a case by the state to uphold all legal rights of individuals. Due process balances the power of the laws of the land and protects individuals against the laws. When the government harms a person without following the exact procedure of the law, it is a violation of due process and violates the rule of law.

It is the constitutional process in which the federal government before denying a citizen the right to life, liberty, or freedom, must give proper notice to the person, the opportunity of being heard, and the decision is taken without any discrimination. The act which violates the Procedural due process is giving a driver a traffic ticket without telling him, his right, i.e, can appeal in court against it.

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Answer:

Mode = 25

Median = 29

Mean = 30.3

Range = 36

Step-by-step explanation:

To find the mode, order the numbers lowest to highest and see which number appears the most often.

To find the median, calculate the mean by adding together the middle values and dividing them by two.

The mean is the average of the numbers. It is easy to calculate: add up all the numbers, then divide by how many numbers there are. In other words it is the sum divided by the count.

The range is the difference between the smallest and highest numbers in a list or set. To find the range, first put all the numbers in order. Then subtract (take away) the lowest number from the highest. The answer gives you the range of the list.

Answer: (x,y) = (-6, 6)

Step-by-step explanation: I'm not very good at explaining but if you you follow this equation, (x1-x2, y1-y2) with (x1,y1) (5,5) and (x2,y2) being the function, that's how you get (-1,11)