a. 64
b.4
c.8
d.23
[ I NEED HELP :(( ]​

The pair of numbers that would be in the columns, considering the proportional relationship, is given as follows:

20 would be in the column for 2, and 60 would be in the column for 6.

A proportional relationship is a special linear function, with intercept having a value of zero, in which the output variable is obtained with the multiplication of the input variable and the constant of proportionality k, as shown as follows:

y = kx

The table is extended to represent more equivalent ratios for 2:6, hence the constant of the relationship is given as follows:

k = 6/2 = 3.

Hence the equation is:

y = 3x.

The values given by each column are given as follows:

When x = 20, the numeric value of the relationship is of:

y = 3 x 20 = 60.

Hence the first option is correct.

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By using substitution method to solve the given equation they sold 20 tacos and 100 burritos .

The substitution method is the algebraic method to solve simultaneous linear equations. As the word says, in this method, the value of one variable from one equation is substituted in the other equation.

For example - x +y = 2 , x = 2-y

                       3x+3y = 6

            substituting value of x in equation 2 we get

                      y = 1

                       x = 1

According to the given information:

Let's assume x is the number of tacos sold and y is the number of burritos sold.

We know that:

The total amount raised from selling tacos and burritos is $1,020

The cost of one taco is $3.50

The cost of one burrito is $9.50

The total number of items sold is 120

Using this information, we can set up two equations:

3.50x + 9.50y = 1020 (total amount raised)

x + y = 120 (total number of items sold)

We can solve for x and y by using any method of solving systems of equations, such as substitution or elimination.

Let's use the substitution method:

x + y = 120 (equation 2)

y = 120 - x (solve for y)

3.50x + 9.50y = 1020 (equation 1)

3.50x + 9.50(120 - x) = 1020 (substitute y from equation 2)

3.50x + 1140 - 9.50x = 1020 (distribute)

-6x = -120 (subtract 1140 from both sides)

x = 20 (divide both sides by -6)

Now that we know x = 20, we can substitute it back into either equation to find y:

x + y = 120 (equation 2)

20 + y = 120 (substitute x = 20)

y = 100

Therefore, they sold 20 tacos and 100 burritos.

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Answer:

The mod-point is (-4,-4)

Step-by-step explanation:

By using mid-point formula

M(x,y)=(x1+x2)/2 ,(y1+y2)/2

putting the values of the coordinates

M(x,y)=(0+-8)/2 ,(-8+0)/2

M(x,y)=-8/2 , -8/2

M(x,y)=(-4,-4)

So the mid-point is (-4.-4)

I hope this will help you :)

The series converges absolutely if |x - 2| < 1, and diverges if |x - 2| > 1 or |x - 2| = 1.

To determine the values of x for which the series converges, we can use the ratio test:

lim(n→∞) |[(x − 2)⁽ⁿ⁺¹⁾ / (n+1)] / [(x − 2)ⁿ / n]|

= lim(n→∞) |(x − 2) / (n+1)|

= 0, if |x - 2| < 1

= ∞, if |x - 2| > 1

= 1, if |x - 2| = 1

The series converges absolutely if |x - 2| < 1, and diverges if |x - 2| > 1 or |x - 2| = 1.

The series converges for x values in the open interval (1, 3) and diverges for x values outside this interval or on its boundary.

The ratio test may be used to identify the x values at which the series converges:

lim(n) |[(x 2)(n+1)/(n+1)] If |x - 2| 1 =, if |x - 2| >, then |[(x 2)n / n]| = lim(n) |(x 2) / (n+1)| = 0 1 = 1, if |x - 2| = 1

If |x - 2| 1, the series absolutely converges; otherwise, it diverges if either |x - 2| > 1 or |x - 2| = 1.

The series diverges for x values outside of or near the open interval (1, 3), where it converges for x values within the interval.

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The series ∑ (x - 2)^n / n converges for x ∈ (0, 4) exclusive.

To determine the convergence of the series, we can use the ratio test. The ratio test states that if the limit of the absolute value of the ratio of consecutive terms is less than 1, then the series converges.

Applying the ratio test to the given series:

lim(n→∞) |((x - 2)^(n+1) / (n+1)) / ((x - 2)^n / n)|

= lim(n→∞) |(x - 2)(n/n+1)|

= |x - 2| lim(n→∞) (n/n+1)

= |x - 2|

For the series to converge, |x - 2| < 1. Solving this inequality, we find:

-1 < x - 2 < 1

1 < x < 3

Therefore, the series ∑ (x - 2)^n / n converges for x ∈ (1, 3). However, the series does not converge at the endpoints x = 1 and x = 3. Thus, the series converges for x ∈ (0, 4) exclusive.

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Answer:

2 7/12

Step-by-step explanation:

Convert 1 5/6 to a mixed number first.

11/6 + 3/4

Find a common denominator

24 is a common denominator

So 44/24 + 18/24

62/24

Simplify

2 7/12

The amount a corsage and a boutonniere sells for this year is taken as

the same as the amount they where sold last year.

The system of equations is presented as follows;

Last year, she sold 35 corsages and 29 boutonnieres = $1,408

This year, she sold 24 corsages and 15 boutonnieres = $858

Required:

How much does each item sell for

Solution:

Let x represent the price of each corsages, and let y represent the price

of each boutonnieres sold, we have, the following system of equations;

Making y the subject of equation (1), gives;

Therefore;

\(24 \cdot x + 15 \times \left(\dfrac{1,408}{29} - \dfrac{35}{29} \cdot x \right) = \mathbf{\dfrac{171\cdot x + 21120}{29}} = 858\)

171·x + 21120 = 858 × 29 = 24,882

171·x = 24,882 - 21,120 = 3,762

Therefore;

\(y = \mathbf{\dfrac{1,408}{29} - \dfrac{35}{29} \times 22} = 22\)

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Step-by-step explanation:

<A= right angle

<B= acute angle

<C= obtuse angle

<D=right angle

hope this helps you.

Answer:

6

Step-by-step explanation:

4.5(x-9)=-13.5

((distribute the 4.5 to the x (4.5x) and distribute the 4.5 to the -9 (-40.5)))

4.5x-40.5=-13.5

4.5x=27

x=27/4.5

x=6

The lines to use to solve the equation are y = –3x – 2  and y = 2x + 8

The graph of the line is attached

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

–3x – 2 = 2x + 8

The above equation can be splitted by introducing the variable y

using the above as a guide, we have the following:

y = –3x – 2

y = 2x + 8

This means that the lines to use to solve the equation are y = –3x – 2  and y = 2x + 8

The graph of the line is added as an attachment

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Answer:

A1(8,0)

B1(12,6)

C1(6,8)

Step-by-step explanation:

If its dilated by a scale factor of 1/2, that means for each x and y-coordinate you divide by 2 to get the new scale factor

Originally A(16,0) so now it would be A1(8,0)

Originally B(24, 12) so now it would be B1(12,6)

Originally C(12, 16) so now it would be C1(6,8)

Answer:

Hamm i don't know sorry a want yo help You Buy a can't because a don't know sorry

Answer:

3/16

Step-by-step explanation:

hope it help

Answer:

x = 9.238 y = 4.619

Step-by-step explanation:

I kind of forgot how to do sohcahtoa but we do cosine for one of them. I used a calculator but the lengths seems reasonable so I'm sure they should be right.

Answer:

72.588

or rounded 72.6

Step-by-step explanation:

There were 11 pies cooked in all by the club to earn money for the basketball game.

What is Function?

A relation between a collection of inputs and outputs is known as a function. A function is, to put it simply, a relationship between inputs in which each input is connected to precisely one output. Each function has a range, codomain, and domain.

Given, The Cooking Club made some pies to sell at a basketball game to raise money for the new math books. The cafeteria contributed four pies to the sale.

Each Pie cut into four pieces

Since there were 60 pieces of pie

The total number of pies sell at a basketball game =  60/4

The total number of pies sell at a basketball game = 15

Also, given there were four pies donated by Cafeteria

Thus,

Total pie basketball team made = 15 - 4

Total pie basketball team made = 11

Therefore, the Total number of pies made by the club to raise funds for the basketball game is 11.

The ratio of the probability of flipping a tail to the probability of flipping a head when the probability of getting three heads is the same as the probability of getting exactly two tails in three flips is 1/3.

Let p be the probability of flipping a head and q be the probability of flipping a tail.

The probability of getting three heads in three flips is \((p)^3.\)

The probability of getting exactly two tails in three flips is 3pq².

Given that these probabilities are equal, we have:

\((p)^3\)= 3pq²

Simplifying this equation gives:

p = 3q

Dividing both sides by q gives:

p/q = 3

Therefore, the ratio of the probability of flipping a tail to the probability of flipping a head is 1/3.

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The characteristics of the parallelogram and star gives;

Parallelogram;

Rotational symmetry: Yes

Point symmetry: Yes

Star:

Rotational symmetry: Yes

Point symmetry: Yes

Rotational symmetry is one in which a shape assumes its original appearance after a rotation.

Point symmetry are the property of two points that are equidistant from and on opposite sides of the coordinate axis

The parallelogram has rotational symmetry of 180°

The parallelogram has point symmetry

Therefore;

Parallelogram:

Rotational symmetry; Yes

Point symmetry; Yes

The star has rotational symmetry of 360°/5 = 60°

Given that points on the star when rotated about its center can be made to match up with opposite side, it is said to have point symmetry.

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(a) 27 outcomes in the sample space are : (1,1,1), (1,1,2), (1,1,3), (1,2,1), (1,2,2), (1,2,3), (1,3,1), (1,3,2), (1,3,3), (2,1,1), (2,1,2), (2,1,3), (2,2,1), (2,2,2), (2,2,3), (2,3,1), (2,3,2), (2,3,3), (3,1,1), (3,1,2), (3,1,3), (3,2,1), (3,2,2), (3,2,3), (3,3,1), (3,3,2), (3,3,3)

(b) All outcomes in the event that all three members go to the same station are : (1,1,1), (2,2,2), (3,3,3)

(a) The 27 outcomes in the sample space can be represented as ordered triples, where each element corresponds to the station that each family member is assigned to. The possible values for each element are 1, 2, and 3. Therefore, the sample space consists of the following 27 outcomes:

(1,1,1), (1,1,2), (1,1,3), (1,2,1), (1,2,2), (1,2,3), (1,3,1), (1,3,2), (1,3,3),

(2,1,1), (2,1,2), (2,1,3), (2,2,1), (2,2,2), (2,2,3), (2,3,1), (2,3,2), (2,3,3),

(3,1,1), (3,1,2), (3,1,3), (3,2,1), (3,2,2), (3,2,3), (3,3,1), (3,3,2), (3,3,3)

(b) The outcomes in the event that all three members go to the same station can be found by examining the 27 outcomes in the sample space and selecting those outcomes where all three elements are the same. Therefore, the outcomes in the event that all three members go to the same station are:

(1,1,1), (2,2,2), (3,3,3)

In these outcomes, all three family members are assigned to the same station. There are three such outcomes, since each family member can be assigned to any one of the three stations.

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Answer:

40

Step-by-step explanation:

I divided 1600 ÷ 10 = 160

Then I divided 160 ÷ 4 = 40

The Taylor polynomials P1, P2, P3, and P4 centered at a0 for f(x) are given as:P1(x) = 1P2(x) = 1 - x²/2!P3(x) = 1 - x²/2! + x⁴/4!P4(x) = 1 - x²/2! + x⁴/4! - x⁶/6!

We will apply the Taylor's theorem formula, which is supplied as follows, to determine the Taylor polynomials P1, P2, P3, and P4 centred at a0 for f(x) in the given question:f'(a)(x-a)/1 = f(x) = f(a) + f'(a)! + f''(a)(x-a)²/2! + ... + fⁿ(a)(x-a)ⁿ/n!We have f(0) = 1f'(0) = 0f''(0) = -1f'''(0) = 0f4(0) = 1 for f(x) = cos(x) at x = 0.We can get the following polynomial expressions by using these values in the Taylor's theorem formula:P1(x) = 1P2(x) = 1 - x²/2!P3(x) = 1 - x²/2! + x⁴/4!P4(x) = 1 - x²/2! + x⁴/4! - x⁶/6!Consequently, the Taylor polynomials P1, P2, P3, and P4 for f(x) are provided as follows:P1(x) = 1P2(x) = 1 - x²/2!P3(x) = 1 - x²/2! + x⁴/4!P4(x) = 1 - x²/2! + x⁴/4! - x⁶/6!

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For cross products and the right hand rule, the order of the numbers does matter. For addition of vectors the order does not matter and for subtraction of vectors the order does matter.

For cross products and the right-hand rule, the order of the numbers does matter.

When you switch the order of the vectors in a cross product, you get the opposite (negative) of the original result. Mathematically, A x B = - (B x A). The right-hand rule is used to determine the direction of the resulting vector, and reversing the order changes the direction.

For addition and subtraction of vectors, the order does not matter for addition, as vector addition is commutative. That is, A + B = B + A.

However, the order does matter for subtraction, as vector subtraction is not commutative. In this case, A - B ≠ B - A.

To summarize:
1. For cross products and the right-hand rule, the order of the numbers matters.
2. For vector addition, the order does not matter.
3. For vector subtraction, the order does matter.

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The value of the voltage of the electricity is 6 + j + 2j²

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

C = 2 - j

I = 3 + 2j

The formula of voltage is given as

V = CI

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

V = (2 - j) * (3 + 2j)

Open the brackets

So, we have

V = 6 + 4j - 3j + 2j²

Evaluate the like terms

V = 6 + j + 2j²

Hence, the voltage is 6 + j + 2j²

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Answer:

No you didn't try everything.I think it's solvable

Step-by-step explanation:

a= -2, b= 3, c= 2, d= -3

So

\(c - b = 2 - 3 = - 1 \\ d - c = - 3 - 2 = - 5 \\ a - c = - 2 - 2 = - 4\)

Hope this helps please mark me BRAINLIEST. Thanks

Answer:

It would simplify into -12x+8

Step-by-step explanation:

(-3x+3)+ (-9x + 5)

-3x +3 -9x + 5

-12x +8

       For C1(Q) = 3 - 2Q.

        For C2(Q) =  4.

     2. The AVC function

           For C1(Q) = 5/Q + 3 + 20/Q - Q.

           For C2(Q) = 3/Q + 4 + 2/Q.

     3. The AFC function

              For C1(Q)= 5/Q - 20/(5 + 3Q + 20/Q - Q)

              For C2(Q) = 0.

     4.  To find the AC function

        For C1(Q) = (5 + 3Q + 202 - Q^2)/Q + 5/Q - 20/(5 + 3Q + 20/Q - Q).

         For C2(Q) = (3 + 4Q + 2)/Q + 3/Q + 4 + 2/Q.

    5.To find the ATC function

    For C1(Q)= 5/Q² + 3/Q + 20/Q² - Q/Q + 5/Q - 20/(5Q + 3Q² + 20 - Q²)

     For C2(Q)= 3/Q² + 4/Q + 2/Q² + 3/Q + 4/Q + 2/Q.

1. To find the MC function, we take the derivative of the cost functions with respect to Q.

For C1(Q) = 5 + 3Q + 202 - Q^2, MC1(Q) = 3 - 2Q.

For C2(Q) = 3 + 4Q + 2, MC2(Q) = 4.

2. To find the AVC function, we divide the cost functions by Q.

For C1(Q), AVC1(Q) = (5 + 3Q + 202 - Q^2)/Q = 5/Q + 3 + 20/Q - Q.

For C2(Q), AVC2(Q) = (3 + 4Q + 2)/Q = 3/Q + 4 + 2/Q.

3. To find the AFC function, we subtract the AVC function from the ATC function.

For C1(Q), AFC1(Q) = (5 + 3Q + 202 - Q^2)/Q - (5 + 3Q + 202 - Q^2)/(5 + 3Q + 20/Q - Q)

= 5/Q - 20/(5 + 3Q + 20/Q - Q).

For

C2(Q), AFC2(Q) = (3 + 4Q + 2)/Q - (3 + 4Q + 2)/(3/Q + 4 + 2/Q) = 0.

4. To find the AC function, we add the AVC function to the AFC function.

For

C1(Q), AC1(Q) = (5 + 3Q + 202 - Q^2)/Q + 5/Q - 20/(5 + 3Q + 20/Q - Q).

For

C2(Q), AC2(Q) = (3 + 4Q + 2)/Q + 3/Q + 4 + 2/Q.

5. To find the ATC function, we divide the AC function by Q.

For

C1(Q), ATC1(Q) = [(5 + 3Q + 202 - Q²)/Q + 5/Q - 20/(5 + 3Q + 20/Q - Q)]/Q

= 5/Q² + 3/Q + 20/Q² - Q/Q + 5/Q - 20/(5Q + 3Q² + 20 - Q²).

For

C2(Q), ATC2(Q) = [(3 + 4Q + 2)/Q + 3/Q + 4 + 2/Q]/Q

= 3/Q² + 4/Q + 2/Q² + 3/Q + 4/Q + 2/Q.

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Answer:

ikr like what, Im so behinddd

The area inside the loop of the limacon given by the polar equation r = 7 - 14sin(θ) is 294π square units.

To find the area inside the loop of the limacon given by the polar equation r = 7 - 14sin(θ), we need to evaluate the integral for half of the area and then double the result.

The curve of the limacon has a loop when 0 ≤ θ ≤ π, so we integrate from 0 to π. The area can be calculated as follows:

A = 2 ∫₀^π 1/2 r² dθ

Using the equation for r given, we can substitute and simplify:

A = 2 ∫₀^π 1/2 (7 - 14sin(θ))² dθ

A = 2 ∫₀^π 1/2 (49 - 196sin(θ) + 196sin²(θ)) dθ

A = ∫₀^π (98 - 392sin(θ) + 392sin²(θ)) dθ

Using the trigonometric identity 1 - cos(2θ) = 2sin²(θ), we can simplify further:

A = ∫₀^π (98 - 392sin(θ) + 196 - 196cos(2θ)) dθ

A = ∫₀^π (294 - 392sin(θ) - 196cos(2θ)) dθ

Integrating with respect to θ:

A = [294θ + 392cos(θ)sin(θ) + 98sin(θ)]₀^π

Evaluating at the limits of integration, we get:

A = [294π + 0 + 0] - [0 + 392cos(0)sin(0) + 98sin(0)]

A = 294π - 0 - 0 = 294π

Therefore, the area inside the loop of the limacon r = 7 - 14sin(θ) is 294π square units.

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