x + 2y = 23

A.(15,-4)
B.(-15,4)
C.(15,4)

Answer:

A money problem is a good one for it. It should be something with a rate.

Answer:

I think something like this would work:

Me and my friend both work for x hours at different jobs. I get 58$ per hour and I already have 170$. My friend gets 42$ per hour, and already has 320. At the end I have more money. How many hours did we work?    

Maybe try something like that.

Step-by-step explanation:

Answer:

statistical!!

Step-by-step explanation:

Answer:

3 is known as the power of 2.

Answer:

The three is the exponent, it is also called power so 2 to the power of 3

Step-by-step explanation:

After considering the given data we conclude that there truth table is possible and is placed in the given figures concerning every sub question.

A truth table is a overview that projects  the truth-value of one or more compound propositions for each possible combination of truth-values of the propositions starting up the compound ones.
Every row of the table represents a possible combination of truth-values for the component propositions of the compound, and the count of rows is described by the range of possible combinations.
For instance, if the compound has just two component propositions, it comprises  four possibilities and then four rows to the table. The truth-value of the compound is projected on each row comprising the truth functional operator.
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Answer:

there are 276 guests

Step-by-step explanation:

add dem all up = 276

The graph of the function is attached and the domain is (0, 30]

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

The piecewise function

Next, we plot the individual functions in their domain

See attachment for the graph

The is the collective domain of individual function

When the domains are combined, we have

Domain = From 0 (exclusive) to 30 (inclusive)

As an interval, we have

Domain = (0, 30]

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360 degrees equals a circle. A circle can be divided into more manageable pieces. A circle's circumference is referred to as an arc, and an arc is given a name based on its angle.

Having no sides or edges, a circle is a figure with a round shape. A closed, two-dimensional curved form is what is meant by the term "circular" in geometry. The shape of a car tire, a wall clock that indicates the time, and a lollipops are a few objects that are circular in nature. The collection of all points in the plane that make up a circle are all equally spaced from a certain point known as the "centre," making the form a closed two-dimensional shape.

The reflection symmetry line is created by all lines that traverse the circle. Additionally, it is symmetrical in rotation around the center at all angles. A curved line forms a circle, a two-dimensional shape. The curving line's tips are evenly spaced apart from the center since it is a sphere.

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Answer:

16.24 Units

Step-by-step explanation:

The perimeter of the triangle is the sum of the length of the sides of the triangle. Given the points on the vertices, the length of each side may be found using the formula

Length = √(x2 - x1)^2 + (y2 - y1)^2

Considering the pair (-1, 2), (3, 1), the length of that side

= √(3 -- 1)^2 + (1-2)^2)

= √(16 + 1)

= √17 units

Considering the pair (-1, 2), (7, 2), the length of that side

= √(7 -- 1)^2 + (2-2)^2)

= √(64)

= 8

Considering the pair  (3, 1),  and (7, 2), the length of that side

= √(7 - 3)^2 + (2  - 1)^2

= √(16 + 1)

= √17

Hence the perimeter of the triangle

= √17 + 8 + √17

= 4.12 + 8 + 4.12

= 16.24 Units

Answer:

Temperature at 9 A.M =  13° F

Step-by-step explanation:

Given:

Temperature at 6 A.M = - 2° F

Temperature increases in 3 hours =  15° F

Find:

Temperature at 9 A.M

Computation:

Temperature at 9 A.M = Temperature at 6 A.M + Temperature increases in 3 hours

Temperature at 9 A.M =  - 2° F + 15° F

Temperature at 9 A.M =  13° F

P(tail) = Probability of getting a tail on the coin

P(tail)=1/2

P(4)=Probability of getting the number '4' on the dice.

P(4)=1/6

P(tail and 4)=Probability of getting tail on the coin and number '4' on the dice.

P(tail and 4)=p(tail multiply with 4)

P(tail and 4)= 1/2×1/6

P(trail and 4)=1/12

Hope this helps!

Answer:

List Price = $ 8.75

Discount Amount = $ 1.75

Answer: $460

Step-by-step explanation:

plug in hours to equation

30(6)+25(4)+21(9)= 460 dollars

Answer:

---------------------------

You need to find the value of f(x) when x = - 5 and x = 12.

For x = - 5 use the middle function:

For x = 12 use the bottom function:

Answer:y=x+7

Step-by-step explanation:

The values of Z such that e² = 2 + i√3 are Z = ln(2 + i√3) + 2πik, where k is an integer.

To find the values of Z, we can start by expressing 2 + i√3 in polar form. Let's denote it as re^(iθ), where r is the modulus and θ is the argument.

Given: 2 + i√3

To find r, we can use the modulus formula:

r = sqrt(a^2 + b^2)

= sqrt(2^2 + (√3)^2)

= sqrt(4 + 3)

= sqrt(7)

To find θ, we can use the argument formula:

θ = arctan(b/a)

= arctan(√3/2)

= π/3

So, we can express 2 + i√3 as sqrt(7)e^(iπ/3).

Now, we can find the values of Z by taking the natural logarithm (ln) of sqrt(7)e^(iπ/3) and adding 2πik, where k is an integer. This is due to the periodicity of the logarithmic function.

ln(sqrt(7)e^(iπ/3)) = ln(sqrt(7)) + i(π/3) + 2πik

Therefore, the values of Z are:

Z = ln(2 + i√3) + 2πik, where k is an integer.

The values of Z such that e² = 2 + i√3 are Z = ln(2 + i√3) + 2πik, where k is an integer.

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Answer:

Dear Friend here is your answer.

Answer:

y = -x/4 + 30

y = -2x/3 + 490

Step-by-step explanation:

5x+20y=600

5x-5x+20y=-5x+600

20y=-5x+600

20y/20=(-5x+600)/20

20y/20=-5x/20+600/20

y = -x/4 + 30

2x+3y=1470

2x-2x+3y=-2x+1470

3y=-2x+1470

3y/3=(-2x+1470)/3

3y/3=-2x/3+1470/3

y = -2x/3 + 490

Answer:

y = (5/3)x - 4

Step-by-step explanation:

We put the equation in the form y = mx + b.

So,

9y - 15x = -36 implies that

3y - 5x = -12, dividing through by 4, and continuing we have that,

3y = 5x - 12

3y/3 = 5x/3 - 12/3, dividing through by 3, and continuing we have that,

y = (5/3)x - 4

if the roots of the polynomial function are -9 and 7 - i, then the other factor of the polynomial function is x - (7  + i)

The roots of the polynomial function are given as:

-9 and 7 - i

The root is 7 - i is a complex number.

This means that its conjugate must also be a root of the factor.

The conjugate of 7 - i is 7 + i

So, we have:

x = 7 + i

Equate to 0

x - (7  + i) = 0

Hence, the other factor of the function is x - (7  + i)

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Answer:

A on edge 23

Step-by-step explanation:

trust me bro

Answer:

Correct answer is \(72x^2+288x^2-216x\)

Step-by-step explanation:

the simplified expression for the surface area of the rectangular prism is: Surface Area = \(360x^2 - 216x\)

The surface area of a rectangular prism is given by the formula:

Surface Area = 2 * (length * width + length * height + width * height)

Given:

Width = 6x

Height = 6x

Length = 12x - 9

Substitute these values into the formula:

Surface Area = 2 * [(12x - 9)(6x) + (12x - 9)(6x) + (6x)(6x)]

Now distribute and simplify each term:

\(1. (12x - 9)(6x) = 72x^2 - 54x\\2. (12x - 9)(6x) = 72x^2 - 54x\\3. (6x)(6x) = 36x^2\)

Putting it all together:

Surface Area = 2 * \((72x^2 - 54x + 72x^2 - 54x + 36x^2)\)

Surface Area = 2 * (\(180x^2 - 108x)\)

Finally, distribute the 2:

Surface Area =\(360x^2 - 216x\)

So, the simplified expression for the surface area of the rectangular prism is: Surface Area =\(360x^2 - 216x\)

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y = 700.7x + 41,708 is the equation expressing the number y of shopping centers in terms of the number x of years after 1997. And the number of shopping centers will reach 60,000 approximately 26.2 years after 1997, or around the year 2023.

(a) Let x be the number of years after 1997, then we can express the number of shopping centers y as a function of x as:

y = mx + b

where m is the rate of change (slope) and b is the initial value. To find m, we can use the two data points:

(0, 41,708) and (10, 48,715)

m = (48,715 - 41,708) / (10 - 0) = 700.7

So the equation becomes:

y = 700.7x + 41,708

(b) We want to find the value of x when y = 60,000. Substituting y = 60,000 into the equation, we get:

60,000 = 700.7x + 41,708

Solving for x, we get:

700.7x = 60,000 - 41,708

x = (60,000 - 41,708) / 700.7

x ≈ 26.2

So the number of shopping centers will reach 60,000 approximately 26.2 years after 1997, or around the year 2023.

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Answer: 5

1  x 5 = 5

2 x 5 = 10

Answer:

x(5^2+2)

Solution:

5x^3+2x

=x(5^2+2)

The probability of getting at least one question right is 96.875%.

The question states that at least one guess should be right. This ultimately means that all guesses cannot be wrong, which is the only possibility being excluded here.

Probability for wrong guess =12=0.5

Probability for all wrong guesses =0.5*0.5*0.5*0.5*0.5=0.03125 or 3.125%

There is only 3.125% chance of all wrong guesses. Rest of the possibilities are our favorable conditions, i.e. at least one correct guess.

Therefore,

Probability of at least one correct guess=1-0.03125=0.96875 or 96.875%

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The product of (n + 7)(n - 2) is\(n^2 + 5n - 14\).

To find the product of (n + 7)(n - 2), we can use the distributive property of multiplication over addition. According to this property, we need to multiply each term of the first expression by each term of the second expression.

Expanding the expression:

(n + 7)(n - 2) = n(n) + n(-2) + 7(n) + 7(-2)

Simplifying each term:

n(n) =\(n^2\)

n(-2) = -2n

7(n) = 7n

7(-2) = -14

Now, combining the simplified terms:

\(n^2 - 2n + 7n - 14\)

Combining like terms:

\(n^2 + 5n - 14\)

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The mean of the sample is 5, 3, 5, 12, 3, 2 the coefficient of variation is 91%. Option A is the correct answer.

To calculate the coefficient of variation, first, we need to calculate the standard deviation and mean of the sample.

The mean of the sample is (3 + 5 + 12 + 3 + 2)/5 = 5.

To find the standard deviation, we first need to calculate the variance. The variance can be found by taking the sum of the squared differences between each data point and the mean, dividing by the sample size minus one, and then taking the square root.

The variance is ((3-5)² + (5-5)² + (12-5)² + (3-5)² + (2-5)²)/4 = 20.5.

The standard deviation is the square root of the variance, which is approximately 4.53.

Finally, we can calculate the coefficient of variation by dividing the standard deviation by the mean and multiplying by 100%.

Coefficient of variation = (4.53/5) x 100% = 90.6%.

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The question is -

A researcher has collected the following sample data. The mean of the sample is 5, 3, 5, 12, 3, 2 the coefficient of variation is?

a. 91%

b. 72.66%

c. 330%

d. 264%

The sum of their squares is (x)^2 + (x-d)^2 + (x-2d)^2.

According to the statement

we have given that the 3 integers are in an arithmetic progression and their product is prime.

And we have to find the sum of their squares.

So, let the three integers which is A, B, C.

And according to the arithmetic progression the

A = x and B = x-d, C = x-2d. here d is the common difference and x is a 1st term.

So, there product is prime

then

(x) (x-d) (x-2d) = c -(1)

And

their sum of square is

(x)^2 + (x-d)^2 + (x-2d)^2 - (2)

So, The sum of their squares is (x)^2 + (x-d)^2 + (x-2d)^2.

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Answer:

y = 4.8

Step-by-step explanation:

y = k/x

4 = k/6

k = 24

y = 24/5

y = 4.8