Write an equation in point slope form that passes through (-14, - 6) and the
slope is 2/3

Answer:

.25 cents, per Party hat

Step-by-step explanation:

In a transportation problem, the activities correspond to the shipping lanes while the supply of each activity is the quantity shipped.

In the transportation problem, activities are the shipping lanes that are taken to transport goods from sources to destinations.

The quantities to be shipped are known as supplies or availabilities. The transportation problem is a linear programming problem that is used to determine how to allocate resources to obtain a minimum cost or maximum profit.The transportation problem is one of the most widely used problems in linear programming. It is used to solve many real-world problems such as supply chain management, production planning, and logistics.

In the transportation problem, we are given a set of sources and a set of destinations. The supply and demand at each source and destination are also given. The objective is to minimize the total cost of transporting the goods from sources to destinations while satisfying the demand and supply constraints.

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A. Manager A wants the decision to be 0.4, so they would recommend a decision of 0.4 to the principal.

B. The recommendations in the Nash equilibrium would be rA = 0.4 and rB = 0.7.

(a) If Manager B always truthfully reports the state of the economy (s = 0.7), Manager A would send a recommendation that minimizes their disutility Ua. In this case, Manager A wants the decision to be 0.4, so they would recommend a decision of 0.4 to the principal.

(b) In a Nash equilibrium, both managers strategically make their recommendations based on their own utility. Manager A wants to minimize their disutility Ua, which increases as the decision deviates from 0.4. Manager B wants to minimize their disutility UB, which increases as the decision deviates from 0.7.

To find the Nash equilibrium, we need to consider the recommendations made by both managers simultaneously. Let's denote the recommendations as rA (from Manager A) and rB (from Manager B). The principal's decision, d, would be the average of the recommendations, so d = (rA + rB) / 2.

Given that both managers strategically choose their recommendations, they will aim to minimize their disutility. In this case, Manager A would recommend a decision of 0.4 (as it minimizes Ua), and Manager B would recommend a decision of 0.7 (as it minimizes UB). Therefore, the recommendations in the Nash equilibrium would be rA = 0.4 and rB = 0.7.

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Answer:

\(k = 1 - \frac{ \sqrt{313} }{26} \)

\(k = \frac{ \sqrt{313} }{26} + 1\)

Answer:

C: 0.000568 miles

Step-by-step explanation:

Essentially, the exponent on the 10 is how many places to move the decimal point, and negative versus positive dictates whether to move it right or left respectively.

Answer:

Step-by-step explanation:

The answer is A. 0.568

Answer: 225 adult tickets, 375 student tickets

Step-by-step explanation:

a = adult tickets

s = student tickets

a + s = 600 (the adult and student ticket added together should equal 600)

6.00a + 4.50s = 3,037.50 ($6 multiply by the adult ticket plus $4.50 multiply by the student ticket should equal to 3,037.50)

a = -s + 600 (get one of the variable by itself by subtracting it from one side)

6 (-s + 600) + 4.5s = 3,037.5 (substitute the a for -s + 600)

-6s + 3600 + 4.5s = 3,037.5 (combine like terms)

-1.5s + 3600 = 3,037.5 (subtract 3600 from each side)

-1.5s = - 562.5 (divide -1.5 from each side)

s = 375

600 = 375 + a (substitute s for 375)

a = 225

Answer:

t=144x3+432x2y+432xy2+144y3−x2

2xy2

Step-by-step explanation:

The difference of the fraction is 2/3 or two-thirds

Fractions are written as a ratio of two integers. They are written in the form a/b

Given the following expression

Negative 2 and one-half minus (negative 1 and three-fourths)

This can also be written as;

-2 1/2 - (-1 3/4)

Convert mixed to improper to have;

-5/2 + 7/4

Swap to have;

7/4 - 5/3

Find the LCM

3(7)-4(5)/12

21-20/12
8/12

Write in its simplest form

8/12 = 2/3

Hence the difference of the fraction is 2/3 or two-thirds

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Answer:

2

Step-by-step explanation:

because -3/4 + 2 3/4= 2

The given relation {(x, x^2): x is a real number} does represent y as a function of x.

A function is defined as a relation where each input value corresponds to a unique output value. In this case, for every real number x, the corresponding y value is obtained by squaring x. For example, if we choose x = 2, the output value y would be y = 2^2 = 4. Similarly, for any other real value of x, there will always be a unique value of y, which is the square of x.

The relation {(x, x^2)} satisfies the criteria of a function because no two distinct x values will have the same y value. Each x value has a specific y value associated with it, given by the square of x.

Graphically, this relation represents a parabola that opens upwards, with the vertex at the origin (0, 0) and symmetrically increasing y values as x moves away from zero in both positive and negative directions.

Therefore, the given relation represents y as a function of x, where y is the square of x. It fulfills the condition of uniqueness, with each input value of x having a corresponding unique output value of y.

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Answer:

(this is easy)

n x 3 = 48

48/3 = n

n= 16

Hannah is 16 years old.

Step-by-step explanation:

Answer:

C. one is the answer

Step-by-step explanation:

hopes it helpzz u

plz mark as brainliest

As per the concept of counting problem, the reason that the answers in part (a) and part (b) are not the same is because Q1 and Q2 are treated as two different coins in part (a) whereas they are effectively treated as the same coin in part (b). And the reason they are treated as one coin is because they both contribute the same amount to the sum of money.

Counting Problems

Basically, counting refers the process of finding the number of elements of a finite set of objects.

Given,

Suppose you have a nickel, two dimes, and a quarter. One of the dimes was minted in 1976, and the other one was minted in 1992.

While we looking into the given problem,

For A) states that,  If you choose at least one coin, this means you could choose 1, 2, 3 or 4 coins. Let us label the dime as D, the penny as P, the quarter minted in 1976 as Q1 and the quarter minted in 1992 as Q2.

Here in this process if you choose one coin, you could choose either D, P, Q1, or Q2. This gives us 4 possible sets.

And If you choose two coins, you choose the following sets of coins: DP, DQ1, DQ2, PQ1, PQ2, Q1Q2. This gives us 6 possible sets.

Then If you choose three coins, you could the following sets of coins: DPQ1, DPQ2, DQ1Q2, PQ1Q2. This gives us 4 possible sets.

So, If you choose four coins, you can only choose DPQ1Q2. This gives us 1 possible set.

So, the total number of different sets of coins you can form is 4 + 6 + 4 + 1 = 15 different sets of coins can be formed.

Similarly, for b) If you choose at least one coin, this means you could choose 1, 2, 3 or 4 coins.

Then If you choose one coin you could choose either D, P, Q1, or Q2. However, since Q1 and Q2 give us the same sum, they are effectively the same set. This gives us 3 possible sums.

So, If you choose two coins, you could choose the following sets of coins : DP, DQ, PQ, Q1Q2.And this gives us 4 possible sums

Then If you choose three coins, you could choose the following sets of coins: DPQ, DQ1Q2, PQ1Q2. And this gives us 3 possible sums

Then If you choose four coins, you can only choose DPQ1Q2. This gives us 1 possible sum.

So, the total number of different sums of coins you can form is 3 + 4 + 3 + 1 = 11 different sums of money can be produced.

Finally, c) The reason that the answers in part (a) and part (b) are not the same is because Q1 and Q2 are treated as two different coins in part (a) whereas they are effectively treated as the same coin in part (b). And the reason they are treated as one coin is because they both contribute the same amount to the sum of money.

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Answer:

(3 x \(x\)) + (3 x 8) = 42

Step-by-step explanation:

3(x+8) = 42

3*x + 3*8 = 42

3x + 24 = 42

3x = 42 -24

3x = 18

x = 18 / 3

x = 6

Hope this helps :)

Answer:

\(3(x+8) = 42\\=>(x+8) = 14\)

\(3(x+8)=126\\=>x+8 = 42\)

\(3(x+8) = 42\\=> 3x +24 = 42\)

\(3(x+8) = 42\\=> 3\cdot x +3\cdot 8 = 42\)

YES              

\(x +8 = 14\\3\cdot x +3\cdot 8 = 42\\3x + 24 =42\)              

NO

\(3(x+8) = 126\\x+24 = 42\\3x+8 =42\)

If the angles are ∠1 = 2x + 4 and ∠2 = 3x - 3, then m∠TRS =  36°.

What is an angle?

An angle is a figure in plane geometry that is created by two rays or lines that have a shared endpoint. The Latin word "angulus," which meaning "corner," is the source of the English term "angle." The shared terminus of two rays is known as the vertex, and the two rays are referred to as sides of an angle.

The measure of ∠1 = 2x + 4

The measure of ∠2 = 3x - 3

The measure of ∠TRS is -

∠TRS = ∠1 + ∠2

Since, PR is a bisector then ∠1 = ∠2.

The equation is -

2x + 4 = 3x - 3

2x - 3x = - 3 - 4

-x = -7

x = 7

Substitute the value of x in the angles -

∠1 = 2(7) + 4

∠1 = 14 + 4

∠1 = 18°

∠2 = 3(7) - 3

∠2 = 21 - 3

∠2 = 18°

So, the value of ∠TRS is -

∠1 + ∠2

18° + 18°

36°

Therefore, the measure of ∠TRS is 36°.

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Answer:

Step-by-step explanation:

Option 1

\(\frac{(30+3)5}{15}-7=\frac{33\times 5}{15}-7\)

                 \(=\frac{165}{15}-7\)

                 \(=11-7\)

                 = 4

Option 2

\(30+3\times 5-(15+20)=30+3\times 5-35\)

                                   = 30 + 15 - 35

                                   = 45 - 35

                                   = 10

Option 3

\(30+\frac{(3\times 5)-5}{8}=30+\frac{15-5}{8}\)

                    \(=30+\frac{10}{8}\)

                    \(=30+\frac{5}{4}\)

                    \(=30+\frac{4+1}{4}\)

                    \(=30+\frac{4}{4}+\frac{1}{4}\)

                    \(=31+\frac{1}{4}\)

                    \(=30\frac{1}{4}\)

Option 4

\(30+3\times 5-(\frac{75}{5}-10)=30+15-(15-10)\)

                                   = 30 + 15 - 5

                                   = 45 - 5

                                   = 40

Therefore, None of the given expressions has a value of 5.

Answer:

I think the answer is 19

Step-by-step explanation:

Using the linear approximating polynomial, e^(-0.7) is approximately 1.7, and using the quadratic approximating polynomial, e^(-0.7) is approximately 1.945.

To find the linear approximating polynomial, we need the first-degree Taylor polynomial centered at a = 0. The linear approximating polynomial is given by p_1(x) = f(a) + f'(a)(x - a), where f(x) = e^(-x).

First, we find f(a) and f'(a):

f(a) = f(0) = e^0 = 1

f'(a) = f'(0) = -e^0 = -1

Substituting these values into the linear approximating polynomial, we get:

p_1(x) = 1 - 1(x - 0) = 1 - x

b. To find the quadratic approximating polynomial, we need the second-degree Taylor polynomial centered at a = 0. The quadratic approximating polynomial is given by p_2(x) = f(a) + f'(a)(x - a) + (1/2)f''(a)(x - a)^2.

First, we find f''(a):

f''(a) = f''(0) = -f'(0) = -(-1) = 1

Substituting all the values into the quadratic approximating polynomial, we get:

p_2(x) = 1 - 1(x - 0) + (1/2)(1)(x - 0)^2

= 1 - x + (1/2)x^2

= 1 - x + (1/2)x^2

c. Using the linear approximating polynomial p_1(x) = 1 - x, we can approximate e^(-0.7) by substituting x = -0.7:

p_1(-0.7) = 1 - (-0.7) = 1 + 0.7 = 1.7

Using the quadratic approximating polynomial p_2(x) = 1 - x + (1/2)x^2, we can approximate e^(-0.7) by substituting x = -0.7:

p_2(-0.7) = 1 - (-0.7) + (1/2)(-0.7)^2 = 1 + 0.7 + (1/2)(0.49) = 1 + 0.7 + 0.245 = 1.945

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Answer:  \(y-0 = \frac{5}{6}(x+8)\)

==================================================

Explanation:

Point-slope form is

\(y - y_1 = m(x - x_1)\\\\\)

where m is the slope and \((x_1,y_1)\) is the point the line goes through.

We're given the slope of m = 5/6, and we want the line going through (-8,0) which is the x-intercept -8. The x-intercept always occurs when y = 0.

So,

\(y - y_1 = m(x - x_1)\\\\y - 0 = \frac{5}{6}(x - (-8))\\\\y - 0 = \frac{5}{6}(x + 8)\\\\\)

We can replace the y-0 with y; however, I'm going to keep that 0 so that the equation better matches the point-slope form.

To find the measure of an angle in a triangle that is isosceles, you can use the fact that the two equal sides of the triangle are congruent to each other.  The measure of each of these angles can be found by subtracting the measure of the third angle from 180 degrees.

Determine which two sides of the triangle are equal in length (these are called the "congruent sides").

Find the measure of the angle opposite one of the congruent sides. This angle is called the "base angle."

Subtract the measure of the base angle from 180 degrees. This will give you the measure of the other two angles in the triangle (since the three angles in any triangle must add up to 180 degrees).

For example, if the measure of the base angle is x degrees, then the measure of the other two angles would be (180-x) degrees.

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The measure of angles in an isosceles triangle can be found using the Triangle Angle Sum Theorem. This theorem states that the sum of the angles in any triangle is 180 degrees. Therefore, if you know two of the angles in the triangle, you can find the third angle by subtracting the sum of the two known angles from 180.

To find the measure of an angle in a triangle isosceles, you can use the Triangle Angle Sum Theorem. This theorem states that the sum of the angles in any triangle is 180 degrees. Therefore, if you know two of the angles in the triangle, you can find the third angle by subtracting the sum of the two known angles from 180.

Let's look at an example. Suppose you have an isosceles triangle and you know that two of its angles measure 50 degrees and 60 degrees. To find the measure of the third angle, you would subtract 110 (the sum of the two known angles) from 180. This gives you 70 degrees as the measure of the third angle.

In addition to the Triangle Angle Sum Theorem, you can also use the Isosceles Triangle Theorem to find the measure of an angle in an isosceles triangle. The Isosceles Triangle Theorem states that the angles opposite the two equal sides of an isosceles triangle are equal. This means that if you know one of the angles in the triangle, you can determine the measure of the other two angles, since they will both be equal to the measure of the known angle.

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Answer:

Yes, you have to move because 1 square is one unit.

Answer:

Step-by-step explanation:

As they are in proportion,

x +4  : x +12   :: x -1  : x + 5

Product of means  = Product of extremes

(x + 12)(x -1) = (x +4)(x+5)

Use FOIL method for polynomial multiplication

x*x + x*(-1) + 12*x + 12*(-1) = x*x +  x*5  + 4*x + 4*5

x² - x + 12x - 12 = x² + 5x + 4x + 20

Combine like terms

x² + 11x - 12 = x² + 9x + 20

x² + 11x - 12 - x² - 9x - 20 = 0

Combine like terms

x² - x² + 11x -9x   -12 -20 = 0

2x - 32 = 0

2x = 32

x = 32/2

x = 16

Answer:

14 minutes

Step-by-step explanation:

divide 2.50$ by 0.17$ and u get 14 minutes if you round it

Answer:

2^-64

Step-by-step explanation:

256^-2*2^3/2

256^-2^3

256^-8

1/256^8

1/2^8*8

1/2^64

2^-64

Answer:

\(\large \text{$ \sf 2^{-64}$}\)

Step-by-step explanation:

Given:

\(\large \text{$ \sf (256)^{-4^{\frac{3}{2}}}$}\)

This reads as:  256 to the power of "-4 to the power of 3/2".

Therefore, we need to deal with the "-4 to the power of 3/2" first.

Rewrite the 4 as 2²:

\(\large \text{$ \sf \implies -(2^2)^{\frac{3}{2}}$}\)

\(\textsf{Apply exponent rule} \quad (a^b)^c=a^{bc}:\)

\(\large \text{$ \sf \implies -2^{\left(2 \times \frac{3}{2}\right)}$}\)

\(\large \text{$ \sf \implies -2^{3}$}\)

Therefore:

\(\large \text{$ \sf \implies -2^3=(-2)(-2)(-2) = -8$}\)

Replace "-4 to the power of 3/2" with -8 :

\(\large \text{$ \sf \implies 256^{-8}$}\)

Rewrite 256 as 2⁸ :

\(\large \text{$ \sf \implies (2^8)^{-8}$}\)

\(\textsf{Again, apply exponent rule} \quad (a^b)^c=a^{bc}:\)

\(\large \text{$ \sf \implies 2^{(8 \times -8)}$}\)

\(\large \text{$ \sf \implies 2^{-64}$}\)

In one complete calculation:

\(\large\begin{aligned} \sf (256)^{-4^{\frac{3}{2}}} & = \sf (256)^{-(2^2)^{\frac{3}{2}}}\\& = \sf (256)^{-2^{\left(2 \times \frac{3}{2}\right)}}\\& =\sf (256)^{-2^{3}}\\& = \sf (256)^{-8}\\& \sf = (2^8)^{-8}\\& = \sf 2^{(8 \times -8)}\\& =\sf 2^{-64}\end{aligned}\)

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The number of  subscribers they must  sample to obtain this interval is: b) 385.

How to find the sample?

95% confidence interval for z-score is  1.96

Using this formula to find the number of  subscribers  they must sample to obtain this interval

n≥ (zσ/2 ÷ 2ME)²

Where:

n= Sample

zσ = Z-score

ME = margin of error

Let plug in the formula

n≥ [1.96 / 2(0.05)]²

n≥ [1.96 / 0.1]²

= (19.6)²

= 384.16

=385 (Rounded)

Therefore the correct option is B.

The complete question is:

Netflix would like to estimate the proportion of their current subscribers who would pay extra for a premium membership including access to more movies and TV shows. To do this, they plan to calculate a 95% confidence interval to estimate the proportion. They would like a margin of error of .05. How many subscribers must they sample to obtain this interval?

a) 1537

b) 385

c) 192

d) 10

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Answer:

It looks to me that maybe a dilation of 1/2 or 1/3

Step-by-step explanation:

a. The complete table for the ordered pairs that are solutions to y = x³ - 4 is

x             y

-1            -5

0            -4

1             -3

2            4

b. The graph of the equation is shown below

From the question, we are to complete the given table of ordered pairs that are solutions to the given equation.

The given equation is

y = x³ - 4

Now, we will determine the values of y for the given values of x

When x = -1

y = x³ - 4

y = (-1)³ - 4

y = -1 - 4

y = -5

(-1, -5)

When x = 0

y = x³ - 4

y = (0)³ - 4

y = 0 - 4

y = -4

(0, -4)

When x = 1

y = x³ - 4

y = (1)³ - 4

y = 1 - 4

y = -3

(1, -3)

When x = 2

y = x³ - 4

y = (2)³ - 4

y = 8 - 4

y = 4

(2, 4)

Thus,

The table is

x             y

-1            -5

0            -4

1             -3

2            4

The graph is shown below

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Answer:

Yes you got it right 4x-3y>-12

Step-by-step explanation:

The plane will reach an altitude of 21,000 feet approximately 29.2 minutes after lift off. Rounded to the nearest whole minute, the plane will be at an altitude of 21,000 feet 37 minutes after lift off.

To determine the number of minutes after lift off when the plane reaches an altitude of 21,000 feet, we need to solve the equation a = 21,000, where "a" represents the altitude in feet. By substituting the altitude value into the equation and solving for the variable, we can find the number of minutes.

The given equation represents the altitude "a" of the plane in feet, given by a = 3480 + 600t, where "t" represents the time in minutes after lift off. We need to find the number of minutes when the plane is at an altitude of 21,000 feet.

By substituting a = 21,000 into the equation, we have:

21,000 = 3480 + 600t

To isolate "t," we subtract 3480 from both sides:

21,000 - 3480 = 600t

Simplifying, we get:

17,520 = 600t

Dividing both sides by 600, we find:

t = 29.2

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