Which set of ordered pairs represents a function?
o {(6,5), (-5,4), (5, 7), (6, -8)}
o {(2, 1), (5,-6), (8,-5), (4, -6)}
{(4,-5), (-7,3), (-7, -8), (-5, -4)}
o {(6,-1), (-7,0), (6,3), (-2,4)}

The average price of milk in 2018 was 6.45 dollars per gallon.

The average price of milk in 2021 was 189.95 dollars per gallon.

The given function is:

Price = 3.55 + 2.90(1 + x)³

where x is the number of years after 2018.

In order to find the average price of milk in 2018, we need to set x = 0:

Price in 2018 = 3.55 + 2.90(1 + 0)³ = 3.55 + 2.90(1) = 6.45 dollars per gallon

Price in 2021 = 3.55 + 2.90(1 + 3)³ = 3.55 + 2.90(64) = 189.95 dollars per gallon

So, the average price of milk in 2021 was 189.95 dollars per gallon.

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AThe area of an equilateral triangle is given by the formula:

A = (sqrt(3)/4) * s^2

where A is the area and s is the length of one side.

If the original length of the side is x, then the new length is 6x. Therefore, we can write:

A(6x) = (sqrt(3)/4) * (6x)^2

Simplifying:

A(6x) = (sqrt(3)/4) * 36 * x^2

A(6x) = 9 * sqrt(3) * x^2

Therefore, the function representing the area of an equilateral triangle with sides of length six times the original length is:

A(6x) = 9 * sqrt(3) * x^2:

Answer:

√8

Step-by-step explanation:

Answer:

-3x is the answer

Step-by-step explanation:

These are all numerical expressions when we move one fraction to the other side in case of multiplication it gets flipped and when we move a fraction to the other side that is not is multiplication its sign changes.

A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.

Given, - (5/9)m = 1 (11/12).

-(5/9)m = 23/12.

m = 23/12×-9/5.

m = - 207/60.

m = - 69/20.

Given, 28 = - (1/2)k.

28×(-2/1) = k.

k = - 56.

Given, 0.85 = a/-7.2

a = 0.85×-7.2

a = - 6.12

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The volume of a sphere is given by the following formula:

Where r is the radius of the sphere.

By replacing 2.2 for r and 3.14 π, we get:

Then, the volume of the sphere equals 4.58 cubic centimeters

Answer: A

Step-by-step explanation: answer is A because if you multiply the chart and minuses than you will get 8.00 an hour

Answer:

x = 32

m ∠ BEC = 43°

Step-by-step explanation:

(3x + 41 )° = 137°                    [ vertically opposite angle ]

3x + 41 = 137

3x = 137 - 41

3x = 96

x = 32

137° + m∠BEC = 180°       [ Straight line angle ]

m ∠BEC = 180 - 137

m ∠ BEC = 43°

Answer:

Answer in explanation

Step-by-step explanation:

We know that 137 and (3x+41) are vertical angles eaning mthey are equilvalent.

Therefore we can write the eqaution 137= 3x+41 and solve for x.

137-41=3x

96=3x

32=x

We know that BEA and BEC are supplemntry meaning they form a 180 degree angle. And BEA is 137. we know that BEC is 180-137 which is

43

Hoped this helped,

JoeLouis2

Answer:

$147

Step-by-step explanation:

Answer:

Angle <E is approximately 40 degrees, and angle <D is approximately 50 degrees

Step-by-step explanation:

Since angle <F is clearly 90 degrees, we can find angle E using the cosine function that relates the adjacent side to the angle with the hypotenuse:

\(cos(\theta)=\frac{adj}{hyp} \\cos(E)=\frac{6.5}{8.5}\\E = arccos(\frac{6.5}{8.5})\\E\approx 40.12^o\)

And we use the sin function to deal with angle <D:

\(sin(\theta)=\frac{opp}{hyp} \\sin(D)=\frac{6.5}{8.5}\\D = arcsin(\frac{6.5}{8.5})\\D\approx 50^o\)

Answer:

\( \boxed{a_n \: = \: 64 \: \times \: ( - \frac{3}{4} ) ^{n \: - \: 1} }\)

Step-by-step explanation:

\(r \: = \: \frac{ - 48}{64} \\ \\ r \: = \: \frac{36}{ - 48} \\ \\ r \: = \: \frac{ - 27}{36} \)

\(r \: = \: - \frac{3 }{4} \\ \\ r \: = \: - \frac{3 }{4} \\ \\ r \: = \: - \frac{3 }{4}\)

\(r \: = \: - \frac{3 }{4}\)

\(a_1 \: = \: 64; \: r \: = \: - \frac{3 }{4}\)

\( \boxed{a_n \: = \: a_1 \: \times \: {r}^{ n \: - \: 1} }\)

_______________________

\( \boxed {\bold{a_n \: = \: 64 \: \times \: {( - \frac{3}{4} )}^{ n \: - \: 1} }}\)

Data: The unknown "n" is the term you want

The area of the region bounded between the graphs of\(y = -x^2 + 8x\) and \(y = x^2 + 2x\) is 9 square units.

To find the area of the region bounded between the graphs of\(y = -x^2 + 8x\)and\(y = x^2 + 2x\), we need to find the points of intersection of the two curves and then integrate the difference of the curves between these points.

First, we find the points of intersection by setting the two curves equal to each other:

\(-x^2 + 8x = x^2 + 2x\)

Simplifying and rearranging, we get:

\(2x^2 - 6x = 0\)

Factoring out 2x, we get:

\(2x(x - 3) = 0\)

So, \(x = 0 or x = 3.\)

Substituting these values of x in either of the two equations, we get the corresponding y values:

For\(x = 0, y = 0^2 + 2(0) = 0.\)

For\(x = 3, y = 3^2 + 2(3) = 15.\)

So, the points of intersection are (0, 0) and (3, 15).

Now, we can integrate the difference of the curves between these points to find the area.

\(A = ∫[0, 3] [(x^2 + 2x) - (-x^2 + 8x)] dx\)

Simplifying the integrand, we get:

\(A = ∫[0, 3] (2x^2 - 6x) dx\)

Integrating this expression, we get:

\(A = [(2/3) x^3 - 3x^2] [0, 3]\\A = [(2/3) (3)^3 - 3(3)^2] - [(2/3) (0)^3 - 3(0)^2]\\A = (18 - 27) - (0 - 0)\\A = -9\)

Therefore, the area of the region bounded between the graphs of\(y = -x^2 + 8x\) and\(y = x^2 + 2x\) is 9 square units.

Note that the area is a positive quantity even though the integrand was negative because the area is defined as the absolute value of the integral.

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The probability of getting a blue based on the image that we have in the problem here is 1/10

The idea of probability is used to calculate the possibility or chance of an event happening. It is a measurement of the probability that, out of all conceivable outcomes, a certain outcome or group of outcomes will occur.

Probability is simply represented as a number between 0 and 1, with 1 denoting a certain event and 0 denoting an impossibility. A probability of 0.5 (or 50%) means that there is an equal chance that an event will occur or not.

Thus:

P(Blue) = 1/10

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Answer:The answer is 14 and 20:35

Step-by-step explanation:

By using the arithmatic operations we can say that the sticker price of the small pickup with the given options is $36,050.

What are arithmetic equations?

Arithmetic equations are mathematical expressions that involve arithmetic operations such as addition, subtraction, multiplication, and division. Arithmetic equations typically have a left-hand side and a right-hand side, separated by an equal sign (=).

To determine the sticker price of the small pickup with the given base price and options, we need to add up the prices of the options and the base price, and then add the destination charge.

Base price = \($31,100\)

Stereo/SiriusXM radio/navigation system = \($1,445\)

Power sunroof = \($850\)

Security package = \($640\)

Aluminum wheels = \($545\)

Tubular side steps = \($525\)

Heated front seats = \($250\)

Trailer tow group = \($525\)

Pearlcoat paint = \($225\)

All-terrain tires = \($100\)

Destination charge = \($645\)

Sticker price = Base price + Options + Destination charge

Sticker price = \(31,100 + $1,445 + $850 + $640 + $545 + $525 + $250 + $525 + $225 + $100 + $645\)

Sticker price = \($36,050\)

Therefore, the sticker price of the small pickup with the given options is $36,050.

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Yes , rotating is  a congruence transformation.

What is a congruence transformation?

A transformation that changes the position of the figure while not dynamical its size or form is termed a congruity transformation.

Main body:

A congruity transformation is that the movement or locating of a form specified it produces a form that is congruent to the initial.

Translations, reflections, and rotations are the three types of congruence transformations. That is, the pre-image and the image are always congruent.

Hence ,rotating is  a congruence transformation.

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Answer:

m = 5

Step-by-step explanation:

Given

\(\frac{m-2}{6}\) = \(\frac{1}{2}\) ( multiply both sides by 6 to clear the fraction )

m - 2 = 3 ( add 2 to both sides )

m = 5

Answer:

\(f(x) = \frac{(2x - 1)(3x - 2)}{9x - 4} \\ open \: brackets \\ = \frac{(6 {x}^{2} - 4x - 3x + 2) }{9x - 4} \\ = \frac{6 {x}^{2} - 7x + 2 }{9x - 4} \\ let \: x \: be \: 1 \\ f(1) = \frac{(6 - 7 + 2)}{(9 - 4)} \\ = \frac{1}{5} \)

Answer:

Step-by-step explanation:

9

Answer:

d)

Step-by-step explanation:

>The domain are all the values of x , so you can graph on the calculator that on the x-axis the graph starts at 9 and keeps going to the right so the domain is x≥9 or [9,∞)

or

>Solve for x in the given equation when f(x) =y = 0 to find the roots

√(x-9) = 0 , square both sides

x-9 = 0 , add 9 to both sides

x= 9

from this root the graph moves to the right to ∞

the domain is [9, ∞)

Answer:13.8 is the best answer i could get

Step-by-step explanation:1,077 multiply that × 13.8 =14,862

Answer:

1. C) 8•9

2. D) 4•2

Step-by-step explanation:

1. multiplication come first before division

2. You have to resolve parenthesis first (3+4•2)

3•24÷12-(3+8)

Answer:

i think c and d

Step-by-step explanation:

math

Answer:

5040

Step-by-step explanation:

an illustration of permutations

The given parameter is:

number of days

dinners for 7 days

Substitute known values

The coefficient of variation (CV) is a measure of relative variability and is calculated by dividing the standard deviation by the mean, and then multiplying by 100 to express it as a percentage.

In this case, the mean weight is 340 grams, and the standard deviation is 5.2 grams.

CV = (Standard Deviation / Mean) * 100

CV = (5.2 / 340) * 100

CV ≈ 1.53%

Therefore, the correct answer is option B: 1.53%.

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P(X ≥ 200) = 1 - P(X < 200) ≈ 1.0. In other words, it is very likely (almost certain) that at least 200 out of 210 college graduates under age 20 are employed.

To find the probability that at least 200 out of 210 college graduates under age 20 are employed, we can use the binomial distribution formula:
P(X ≥ 200) = 1 - P(X < 200)
where X is the number of employed college graduates under age 20 out of a sample of 210.
We know that the unemployment rate for college graduates under the age of 20 is 7%. Therefore, the probability of an individual college graduate being unemployed is 0.07.
To find the probability of X employed college graduates out of 210, we can use the binomial distribution formula:
P(X = k) = (n choose k) * p^k * (1-p)^(n-k)
where n is the sample size (210), k is the number of employed college graduates, and p is the probability of an individual college graduate being employed (1-0.07=0.93).
We want to find P(X < 200), which is the same as finding P(X ≤ 199). We can use the cumulative binomial distribution function on a calculator or software to find this probability:
P(X ≤ 199) = 0.000000000000000000000000000001004 (very small)
Therefore, P(X ≥ 200) = 1 - P(X < 200) ≈ 1.0. In other words, it is very likely (almost certain) that at least 200 out of 210 college graduates under age 20 are employed.

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The solution to the given differential equation is y = e⁽ˣ³⁾⁽²⁸ˣ ⁺ ᶜ⁾, where C is a constant.

To solve the first-order linear differential equation of the form y' + p(x)y = q(x), where p(x) and q(x) are functions of x:

Find the integrating factor (IF) = e⁽∫ᵖ⁽ˣ⁾ᵈˣ⁾

Multiply both sides of the equation by the IF.

Apply the product rule to the left side and simplify the right side.

Integrate both sides with respect to x.

Solve for y.

Using this method, for the given equation:

y' - 3x²y = 28e⁽ˣ³⁾

Find the integrating factor (IF):

IF = e⁽∫ᵖ⁽ˣ⁾ᵈˣ⁾ = e⁽⁻³/¹ * ∫ˣ²ᵈˣ⁾ = e⁽⁻ˣ³⁾

Multiply both sides by the IF:

e⁽⁻ˣ³⁾y' - 3x²e⁽⁻ˣ³⁾y = 28

Apply the product rule to the left side and simplify the right side:

d/dx (e⁽⁻ˣ³⁾y) = 28

Integrate both sides with respect to x:

e⁽⁻ˣ³⁾)y = 28x + C, where C is the constant of integration.

Solve for y:

y = e⁽ˣ³⁾(28x + C)

Therefore, the solution to the given differential equation is y = e⁽ˣ³⁾(28x + C), where C is a constant.

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Complete question:

How to solve the first order linear differential equation

Y'- 3x²y=28eˣ³

PLEASE GIVE BRAINLIEST :)

thank you and have a good day

Answer:

He will have 36 trays full of eggs.

Step-by-step explanation:

To find out how many trays he will have, we have to divide 1080 (the number of eggs), by the number of trays that carry 30 eggs.

1080/30 = 36

Answer:

Step-by-step explanation:

Divide 1080 by 30

1080/30 = 36 trays

Answer:

Solved Examples on Angle of Depression: 1. From the top of a tower, a man finds that the angle of depression of a car on the ground is 30°. If the car is at a distance 40 metres from the tower, find the height of the tower.

Step-by-step explanation: