Here is an equation: 2x+4y=80 use the equation to help you complete the table.
Which equation represents the same relationship?

(a) n+3......................

seventh term is 19

eight term is 22

nine term is 25

Answer:

option C

Step-by-step explanation:

the solutions to function x^2 -9x +14 are (x-7) and (x-2)

through the zero product property

(x-7)=0

x=7

and

(x-2)=0

x=2

this is what I looked up and got..hope it helps

The volume of the solid generated by the revolution is 33.5 cubic units.

It is given that, the diameter of the semi-circle is 4 and it is rotated to one full rotation around its diameter.

A solid generated when a semicircle is being rotated about its diameter is called a "SPHERE".

Therefore, the volume of the solid generated by the revolution is the volume of the sphere.

The formula for the volume of the sphere is given by,

Volume of sphere = (4/3)πr³

where r is the radius and π has the default value of 3.14

Here, the given diameter is 4.

To find the radius = diameter/2

radius = 4/2 = 2.

Now, to calculate the volume of the sphere substitute r=2 and π=3.14

volume of the sphere = (4/3)×3.14×2³

⇒ (4/3)×3.14×8

⇒ 100.48 / 3

⇒ 33.49 (approximately 33.5)

Therefore, the volume of the solid generated by the revolution is 33.5 cubic units.

Learn more about volume:

https://brainly.com/question/1578538

#SPJ1

A vertical translation (5 units up) is applied on quadratic function f(x) = x².

In this problem we find the representation of quadratic function and its image on Cartesian plane. The image is the consequence of using a vertical translation, whose definition is now introduced:

g(x) = f(x) + k

Where k is the y-coordinate of the quadratic function.

If we know that f(x) = x² and k = 5, then the image of the function is:

g(x) = x² + 5

The image is the result of a vertical translation (5 units up).

To learn more on translations: https://brainly.com/question/17485121

#SPJ1

Answer:

the cube root of 64 is 3√64=4.

Step-by-step explanation:

Hope it's answer you plz mark as Brainlist

The probability of getting a 6 on a loaded die is not provided, so I cannot give an exact answer. However, if we assume that the probability of getting a 6 on each roll is p, then the probability of getting exactly seven 6's in ten rolls can be calculated using the binomial distribution.

The formula for the binomial distribution is:

P(X = k) = (n choose k) * p^k * (1-p)^(n-k)

where P(X = k) is the probability of getting exactly k successes in n trials, p is the probability of success on each trial, and (n choose k) is the number of ways to choose k successes from n trials.

In this case, we want to find the probability of getting exactly seven 6's in ten rolls, so n = 10 and k = 7. We don't know p, so we can't calculate the exact probability, but we can use a range of values for p to see how it affects the probability.

For example, if we assume that p = 0.5 (i.e. the loaded die has an equal chance of rolling 6 and any other number), then the probability of getting exactly seven 6's in ten rolls is:

P(X = 7) = (10 choose 7) * 0.5^7 * 0.5^3
          = 0.117

So there is about an 11.7% chance of getting exactly seven 6's in ten rolls if the die has an equal chance of rolling 6 and any other number. If the probability of rolling a 6 is higher or lower than 0.5, the probability will be different.

Learn more about loaded die: https://brainly.com/question/21321490

#SPJ11

The total amount of money spent/ amount of friends

Step-by-step explanation:

52/4

Answer:

4x = 52

Step-by-step explanation:

Let's say the cost of the ticket is represented by the variable x.

If 4 friends each went to the movies, and the tickets cost $52, that means

x + x + x + x = 52

Simplifying this, we get

4x = 52

If you want to solve for the cost of each ticket, divide both sides by 4.

After doing this, we get

x = $13

I hope this helps!

E⁣⁣⁣xplanation i⁣⁣⁣s i⁣⁣⁣n a f⁣⁣⁣ile

bit.\(^{}\)ly/3a8Nt8n

The value of n that makes a system of equations with a solution that has a y-value of 2 is n = 5

A system of equations is a pair of equation that contain two unknowns.

Given the system of equations

5x+6y= 32  (1)

2x + ny = 18  (2)

We desire the value of n where the value of y is 2

First, we make x subject of the formula from equation (1)

So, x = (32 - 6y)/5

Substituting x into equation (2), we have that

2x + ny = 18  (2)

2(32 - 6y)/5 + ny = 18  (2)

(64 - 12y)/5 + ny = 18

Multiplying through by 5, we have

64 - 12y + 5ny = 90

We now make n subject of the formula.

64 - 12y + 5ny = 90

- 12y + 5ny = 90 - 64

(- 12 + 5n)y = 26

-12 + 5n = 26/y

5n = 26/y + 12

n = 26/5y + 12/5

Since y = 2, substituting y into the equation, we have

n = 26/5(2) + 12/5

n = 26/10 + 12/5

n = (26 + 24)/10

n = 50/10

n = 5

So, the value of n = 5

Learn more about system of equations here:

https://brainly.com/question/28196676

#SPJ1

Answer:

5 times greater hope this helps

Therefore, the range of the middle 50% of these data is 16.  range = 16.

To find the range of the middle 50% of data, we need to first find the quartiles.

Let's start by sorting the data:10, 10, 20, 26, 30

The median is the middle value when the data is arranged in order, which in this case is 20.

To find the first quartile (Q1), we need to find the median of the lower half of the data:10, 10, 20

This gives us a median of 10, since there are an even number of values,

we take the average of the two middle values.

To find the third quartile (Q3), we need to find the median of the upper half of the data:20, 26, 30

This gives us a median of 26.

So our quartiles are:

Q1 = 10Q2 (median) = 20Q3 = 26

Now we can find the range of the middle 50% of data.

The middle 50% of data is the range between Q1 and Q3.

So, we need to find the range between 10 and 26:26 - 10 = 16

to know more about range visit:

https://brainly.com/question/29204101

#SPJ11

The equation to find the number of overtime hours worked on the second day is 19.5x = 87.75.

An equation is the statement of two expressions located on two sides connected with an equal to sign. The two sides of an equation is usually called as left hand side and right hand side.

Given that,

Earning of Lynette for one hour when she works overtime = $19.50

She worked overtime twice this week.

One day she worked 3 hours of overtime.

Earning on first day = 3 × $19.50 = $58.50

Total earnings for overtime = $146.25

Earnings on second day = $146.25 - $58.50 = $87.75

Let x be the number of hours worked overtime.

19.5x = 87.75

x = 4.5

Hence the required equation is 19.5x = 87.75.

Learn more about Equations here :

https://brainly.com/question/29657992

#SPJ1

The value of xxx in terms of aaa is 0.

To find the value of xxx in terms of aaa, we can set up the equation based on the given conditions.

The sum of xxx and a−xa−xa, minus, xx is aaa:

x + (a - x) - x = a

Simplifying the equation:

a - x = a

Subtracting a from both sides:

-x = 0

Dividing both sides by -1:

x = 0

Know more about equation here:

https://brainly.com/question/29538993

#SPJ11

Answer:

Round (n-value):   0.      1.       2.     3.    4.

# of Teams (aₙ): 1024, 512,  256,  128,  64

Step-by-step explanation:

aₙ = a₁ · r ⁿ⁻¹

Someone please correct me if I'm wrong.  I learned this very recently.

(C) Regression analysis is the statistical method commonly used to estimate the level and trend in a time series by modeling the relationship between the data and independent variables.

Regression analysis is the statistical method used to estimate the level and trend in a time series. Time series data represents observations taken at different points in time and is commonly used to analyze trends and patterns over time.

Regression analysis allows us to model the relationship between a dependent variable (in this case, the time series data) and one or more independent variables (such as time or other relevant factors). By using regression analysis, we can identify the underlying trend in the time series and estimate its level.

The regression model captures the relationship between the dependent variable (the time series) and the independent variable(s) by fitting a line or curve that best represents the data. This line or curve helps to identify the overall trend and level of the time series.

While moving average, simulation method, covariance analysis, and correlation analysis are useful techniques in analyzing time series data, they are not specifically designed to estimate the level and trend in a time series. Therefore, (C) regression analysis is the most appropriate method for estimating the level and trend in a time series.

Learn more about Regression analysis here:

https://brainly.com/question/31860839

#SPJ11

answer:

\( - a ^{3} b^{2} c^{2} - a^{2} b^{3} c ^{2} + a^{2} b^{2} c^{3} \)

ok done. Thank to me :>

Answer:

Step-by-step explanation:

It appears that angle AED measures 143 degrees. The measure of angle x is the same since it is vertical to angle AED. Vertical angles are congruent.

The equation to convert x feet into y miles for the walking path is y = x / 5280

To convert x feet into y miles, use the following equation:

y = x / (5280)

where y = distance in miles and x = distance in feet.

For the walking path, make sure it is 1 mile long. Therefore, set up the following equation:

distance from school to park + distance from park to school = 1 mile

Let d be the distance from the school to the park, then the distance from the park to the school is also d. Using the given requirements, set up the following two equations:

distance to first water fountain = d / 3

distance to second water fountain = 2d / 3

The total distance can be expressed as:

d + (2d/3) + (d/3) = 1 mile

Multiplying both sides by 3:

3d + 2d + d = 3 miles

Simplifying:

6d = 3

d = 1/2 mile

Now, use the equation y = x / 5280 to find the distances in miles:

Distance from school to park = (1/2) mile = (1/2) x 5280 feet = 2640 feet

Distance from park to school = (1/2) mile = (1/2) x 5280 feet = 2640 feet

Distance to first water fountain = (1/2) mile / 3 = (1/6) x 5280 feet = 880 feet

Distance to second water fountain = (2/3) x (1/2) mile = (1/3) x 5280 feet = 1760 feet

Therefore, the equation to convert x feet into y miles for the walking path is:

y = x / 5280

Find out more on equation creation here: https://brainly.com/question/29438269

#SPJ1

There is sufficient evidence to conclude that the proportion of sales he makes to women is more than 75%.

At the 1% significance level, the critical value for a one-tailed test with 149 degrees of freedom is 2.326. Since the p-value of 0.0001 is much smaller than 0.01, we reject the null hypothesis that the proportion of sales made to women is equal to 0.75. Therefore, we can conclude that there is sufficient evidence to suggest that the proportion of sales made to women is more than 75%.

Note that we cannot conclude that the proportion of sales made to women is more than 50% because the null hypothesis assumes that the proportion is exactly 75%, not 50%. Furthermore, we have only tested the hypothesis that the proportion is greater than 75%, not whether it is greater than 50%. Therefore, the correct answer is: "There is sufficient evidence to conclude that the proportion of sales he makes to women is more than 75%."

To know more about hypothesis visit :

https://brainly.com/question/31319397

#SPJ4

Answer:

The width and height of the old 35-inch television are 28 inches and 21 inches, respectively.

Step-by-step explanation:

35-inch television is a television whose screen has an hypotenuse (\(l\)) of 35 inches and the aspect ratio of 4 : 3 means that 4 inches width per each 3 inches height. And by Pythagorean Theorem:

\(r_{l} =\sqrt{r_{w}^{2}+r_{h}^{2}}\)

Where:

\(r_{l}\) - Hypotenuse rate, dimensionless.

\(r_{w}\) - Width rate, dimensionless.

\(r_{h}\) - Height rate, dimensionless.

If \(r_{w} = 4\,in\) and \(r_{h} = 3\,in\), the hypotenuse rate is:

\(r_{l} = \sqrt{4^{2}+3^{2}}\)

\(r_{l} = 5\)

The width and height of the old television can be found with the help of trigonometric functions:

Width of 35-inch old television (\(w\))

\(w = l\cdot \cos \theta\)

\(w = l\times\left(\frac{r_{w}}{r_{l}} \right)\)

Height of 35-inch old television (\(h\))

\(h = l\cdot \sin \theta\)

\(h = l\times\left(\frac{r_{h}}{r_{l}} \right)\)

Where \(\theta\) is the direction of the hypotenuse with respect to width, measured in sexagesimal degrees.

If \(r_{w} = 4\), \(r_{h} = 3\) and \(r_{l} = 5\) and \(l = 35\,in\), the width and height of the old 35-inch television:

\(w = (35\,in)\times \left(\frac{4}{5} \right)\)

\(w = 28\,in\)

\(h =(35\,in)\times \left(\frac{3}{5} \right)\)

\(h = 21\,in\)

The width and height of the old 35-inch television are 28 inches and 21 inches, respectively.

False. The statement you described is not an equivalent form for a conditional statement. The process you mentioned, which is reversing and negating the antecedent and consequent, is known as forming the contrapositive of the statement.

A conditional statement has the form "If P, then Q," where P is the antecedent and Q is the consequent. The contrapositive is formed by negating both the antecedent and consequent, and reversing their order: "If not Q, then not P." The contrapositive is equivalent to the original conditional statement.

However, simply reversing the antecedent and consequent without negating them gives you the converse, which is "If Q, then P." The converse is not equivalent to the original conditional statement.

To learn more about Antecedent - brainly.com/question/28845527

#SPJ11

Answer:

\( { x^2+3x-4} \)

Step-by-step explanation:

Factor top and bottom.

The numerator is a difference of two squares, and the denominator is a quadratic.

\( \frac{ {9x}^{2} - {(x}^{2} - 4)^{2} }{4 + 3x - {x}^{2} } \)

= \(\frac{ (3x+x^2-4)(3x-x^2+4) }{(1+x)(4-x)}\)

= \( \frac{ (x-1)(x+4) (1+x)(4-x) }{(1+x)(4-x)} \)

If x does not equal -1 and does not equal 4, we can cancel the common factors in italics to give

= \( { (x-1)(x+4)} \)

= \( { x^2+3x-4} \)

Answer:

The answer is

Step-by-step explanation:

\( \frac{9 {x}^{2} - ( { {x}^{2} - 4})^{2} }{4 + 3x - {x}^{2} } \)

To solve the expression first factorize both the numerator and the denominator

For the numerator

9x² - ( x² - 4)²

Expand the terms in the bracket using the formula

( a - b)² = a² - 2ab + b²

(x² - 4) = x⁴ - 8x² + 16

So we have

9x² - (x⁴ - 8x² + 16)

9x² - x⁴ + 8x² - 16

- x⁴ + 17x² - 16

Factorize

that's

(x² - 16)(-x² + 1)

Using the formula

a² - b² = ( a + b)(a - b)

We have

(x² - 16)(-x² + 1) = (x + 4)(x - 4)( 1 - x)(1 + x)

For the denominator

- x² + 3x + 4

Write 3x as a difference

- x² + 4x - x + 4

Factorize

That's

- ( x - 4)(x + 1)

So we now have

\( \frac{(x + 4)(x - 4)( 1 - x)(1 + x)}{ - (x - 4)(x + 1)} \)

Simplify

\( \frac{ - (x + 4)(1 - x)(1 + x)}{x + 1} \)

Reduce the expression by x + 1

That's

-( x + 4)( 1 - x)

Multiply the terms

We have the final answer as

Hope this helps you

Answer:

270 miles

Step-by-step explanation:

if 1 gallon = 18 miles

then 15 gallons = x miles

cross multiply

1 × x = 15×18miles

x = 270 miles

so it travels 270 miles on 15 gallons of gasoline

Answer:

1.4 people out of 10

Step-by-step explanation:

Just divide it by 10

Answer:

only 4 people

You can determine if the inverse of a polynomial function is a function by using the Horizontal Line Test on the inverse.

The Horizontal Line Test is a graphical method that can be used to determine whether a given function is one-to-one, meaning that for each output value, there is at most one input value that maps to it.

If the inverse of a polynomial function is a function, it must pass the Horizontal Line Test, meaning that no horizontal line intersects the graph of the inverse more than once.

In other words, if the inverse of a polynomial function passes the Horizontal Line Test, it is guaranteed to have an inverse, which will be a function itself. If the Horizontal Line Test fails, then the inverse is not a function and does not have an inverse.

To know more about Inverse function:

https://brainly.com/question/2541698

#SPJ4

Answer:

it would be 66 I hope this helps.

Answer:

Step-by-step explanation:

\(\frac{r}{19}>-1\)

Multiply both sides by 19

\(\frac{r}{19}*19>-1*19 \\\\r > -19\)

At time t = 10 minutes, there would be approximately 16.67 grams of salt in the tank.

The number of grams of salt in the tank at time t can be found by considering the rate of salt entering and leaving the tank.

Initially, the tank contains 20 grams of salt in 360 liters of fluid.

Every minute, 6 liters of pure water are pumped into the tank, while an equal amount of the well-mixed solution is pumped out.

Since the rate of water entering and leaving the tank is the same, the volume of fluid in the tank remains constant at 360 liters.

Therefore, the concentration of salt in the tank is constant over time.

To find the number of grams of salt in the tank at time t, we can use the formula:

a(t) = (20 grams / 360 liters) * (360 liters - 6 liters * t)

where t is the time in minutes.

Let's work through an example:

If t = 10 minutes, then the number of grams of salt in the tank at that time would be:

a(10) = (20 grams / 360 liters) * (360 liters - 6 liters * 10)

Simplifying this expression:

a(10) = (20 grams / 360 liters) * (360 liters - 60 liters)

a(10) = (20 grams / 360 liters) * 300 liters

a(10) = (20 * 300) / 360

a(10) = 6000 / 360

a(10) ≈ 16.67 grams

Therefore, at time t = 10 minutes, there would be approximately 16.67 grams of salt in the tank.

Learn more about  grams of salt https://brainly.com/question/14820429

#SPJ11