What is the purpose of an assignment statement?
to assign a programming language
to assign an editor to a program
to store a value in a variable
to assign a debugging routine

Answer:

20

Step-by-step explanation:

g(3)= 3²+4·3-1

9+4·3-1

9+12-1

21-1=20

Answer:

x = 24

Step-by-step explanation:

if a and b are parallel then

62 and 5x - 2 are same- side interior angles and sum to 180° , that is

5x - 2 + 62 = 180

5x + 60 = 180 ( subtract 60 from both sides )

5x = 120 ( divide both sides by 5 )

x = 24

thus for a to be parallel to b , then x = 24

The water level in Boston Harbor is rising when the derivative of the function H is positive, and it is falling when the derivative is negative. The relative extrema of H can be found by finding the critical points of the function, where the derivative is zero or undefined.

To determine when the water level is rising or falling, we need to find the derivative of the function H with respect to t. Taking the derivative of H=4.8sin[(t-10)]+76, we get dH/dt = 4.8cos[(t-10)].

When the derivative dH/dt is positive, it indicates that the water level is rising, and when it is negative, the water level is falling. The sign of the cosine function determines the sign of the derivative.

To find the relative extrema of H, we set dH/dt = 0 and solve for t. In this case, 4.8cos[(t-10)] = 0. Solving this equation gives us cos[(t-10)] = 0.

The cosine function equals zero at specific angles, such as π/2, 3π/2, etc. Therefore, we can find the critical points by solving (t-10) = π/2 + nπ, where n is an integer.

Interpreting the results, the critical points correspond to the times when the water level changes direction. At these points, the water level reaches a maximum or minimum value.

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Answer:96

Step-by-step explanation:

uwu yay

The required equation represents the inverse function b(a), which takes the trapezoid's area is B(a) = a/6 - 9.

A trapezoid is a quadrilateral having two parallel bases and one set of other sides called as legs.

We have been given that the trapezoid's base is nine and its height is twelve.

As an outcome, 'b' is the base's parallel side.

The function that represents the trapezoid's area is given by:

A(b) = [12(b + 9)]/2

Let's consider A(b) = a

Then, a =  [12(b + 9)]/2

Now solving for b, we get

2a = 12(b + 9)

a = 6(b + 9)/2

a = 6b + 54

6b = a - 54

b = (a - 54)/6

b = a/6 - 9

Assuming that the length of the side parallel to the base 'b' = B(a), the equation will be:

B(a) = a/6 - 9

Thus, the correct answer would be option A. B(a) = a/6 - 9.

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Answer:

thgghngztlslxy it probably 450

(a) The equilibrium point is approximately (26, 26) where quantity (x) and price (P) are both 26.

(b) Consumer surplus ≈ 434

(c) 434 dotars (d)  -1155 dotars.

To calculate the deadweight loss, we need to find the area between the supply and demand curves from the equilibrium quantity to the quantity \(x_C\).

To find the equilibrium point, we need to set the demand and supply functions equal to each other and solve for the quantity.

Demand function: D(x) = 61 - x
Supply function: S(x) = 22 + 0.5x

Setting D(x) equal to S(x):
61 - x = 22 + 0.5x

Simplifying the equation:
1.5x = 39
x = 39 / 1.5
x ≈ 26

(a) The equilibrium point is approximately (26, 26) where quantity (x) and price (P) are both 26.

To find the point (\(x_C\), \(P_C\)) where the price ceiling is enforced, we substitute the given price ceiling value into the demand function:

P_C = $30
D(\(x_C\)) = 61 - \(x_C\)

Setting D(\(x_C\)) equal to \(P_C\):
61 - \(x_C\) = 30

Solving for \(x_C\):
\(x_C\) = 61 - 30
\(x_C\) = 31

(b) The point (\(x_C\), \(P_C\)) is (31, $30).

To calculate the new consumer surplus, we need to integrate the area under the demand curve up to the quantity \(x_C\) and subtract the area of the triangle formed by the price ceiling.

Consumer surplus

\(=\int[0,x_C] D(x) dx - (P_C - D(x_C)) * x_C\\=\int [0,x_C] (61 - x) dx - (30 - (61 - x_C)) * x_C\\=\int [0,31] (61 - x) dx - (30 - 31) * 31[61x - (x^2/2)]\)
evaluated from

0 to 31 - 31[(61*31 - (31²/2)) - (61*0 - (0²/2))] - 31[1891 - (961/2)] - 311891 - 961/2 - 311891 - 961/2 - 62/2(1891 - 961 - 62) / 2868/2
Consumer surplus ≈ 434

(c) The new consumer surplus is approximately 434 dotars.

To calculate the new producer surplus, we need to integrate the area above the supply curve up to the quantity \(x_C\).

Producer surplus \(= (P_C - S(x_C)) * x_C - \int[0,x_C] S(x) dx(30 - (22 + 0.5x_C)) * x_C - \int[0,31] (22 + 0.5x) dx(30 - (22 + 0.5*31)) * 31 - [(22x + (0.5x^2/2))]\)
evaluated from 0 to 31(30 - 37.5) * 31 - [(22*31 + (0.5*31²/2)) - (22*0 + (0.5*0²/2))](-7.5) * 31 - [682 + 240.5 - 0](-232.5) - (682 + 240.5)(-232.5) - 922.5-1155
(d) The new producer surplus is -1155 dotars. (This implies a loss for producers due to the price ceiling.)

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Answer:

what you  have is right

Step-by-step explanation:

Step-by-step explanation:

The answer is d . all your doing is multiplying the 8 and the 1/2 and then use ( ) and multiply by 1/3

Answer:

119 square units

Step-by-step explanation:

To find the area of a trapezoid, use this formula: (a+b)/2 * h

Substitute 24, 10, and 7 for a, b, and h, respectively.

((24 + 10)/2) * 7

Step 1: Add 24 and 10 to get 34.

(34/2) * 7

Step 2: Divide 34 by 2 to get 17.

17 * 7

Step 3: Multiply 17 by 7 to get 119

119

The area of this trapezoid is 119 square units.

Answer:

119

Step-by-step explanation:

I took the quiz

Given are three ropes: one 13 1 8 feet long, another 21 3 4 feet long, and one 35 1 2 feet long.Jen has one rope that is 13 1 8 feet long and another that is 21 3 4 feet long. Let's find the total length of the two ropes.

Jen has a total length of\(rope= $13\frac{1}{8}$ ft + $21\frac{3}{4}$ ft = $13+\frac{1}{8}+21+\frac{3}{4}$ ft = $34\frac{7}{8}$\)ftKelsey has a rope that is 35 1 2 feet long. Hence, we can compare both to find who has more rope and how much more: Jen has 34 7 8 feet of rope and Kelsey has 35 1 2 feet of rope.Thus, Kelsey has more rope and the amount of extra rope that Kelsey has is given as follows.

Amount of extra rope that Kelsey \(has= 35 $\frac{1}{2}$ ft - 34 $\frac{7}{8}$ ft= $\frac{71}{2}-\frac{63}{8}$ ft = $\frac{8\cdot 71}{2\cdot 8}-\frac{7\cdot 9}{8\cdot 7}$ ft = $\frac{568-63}{16}$ ft = $\frac{505}{16}$ ft\)Therefore, option D is correct: Kelsey has 1 5 8 feet more rope.

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The sampling distribution of difference between means approximates a normal curve whose mean is zero.

The sampling distribution means the probability distribution based on the large number of samples of size n from the given population

Mean is the average of the given numbers and it is calculated by dividing the sum of observation by the number of observation. Here the term observation represents the given data.

Here they used the normal curve, sot its mean value is zero

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Answer:

No. of sweets = 123

No. of children = 7

then

sweets per children =123/7 =17. 57

Answer: =17.57

Step-by-step explanation:

Divide the no. of sweets by the no. of children

=123/7

=17.57

Answer:

C

Step-by-step explanation:

1 gallon = 16 cups

3 gallons = 48 cups if each camper gets one cup of lemonade, it can serve 48 campers.

Answer:

3/4=21/28

Step-by-step explanation:

21/28÷7/7=3/4

Answer 3/4 and 21/28

To find the balance of the account at the end of the week, we need to calculate all the transactions:

Initial balance: $150

Shoes: -$180

Cash advance: +$300

Repaid debt: -$250

Bank fee: +$110

Cash deposit: -$150

So the final balance would be $150 - $180 + $300 - $250 + $110 - $150 = $-70.

This means the balance of the account at the end of the week would be -$70.

The probability of out of any two students chosen at random, one student will be absent while the other is present is 29/450 or approximately 0.064.

Let's denote the event that a student is absent as A and the event that a student is present as P.

The probability of a student being absent is P(A) = 1/30, which means the probability of a student being present is P(P) = 29/30.

We want to find the probability that out of any two students chosen at random, one student will be absent while the other is present.

There are two possible cases for this event:

The first student is absent and the second student is present

The first student is present and the second student is absent

Let's calculate the probability of each case separately:

Case 1: The probability of the first student being absent is P(A) = 1/30. The probability of the second student being present is P(P) = 29/30. Therefore, the probability of the first student being absent and the second student being present is:

P(A and P) = P(A) × P(P) = (1/30) × (29/30) = 29/900

Case 2: The probability of the first student being present is P(P) = 29/30. The probability of the second student being absent is P(A) = 1/30. Therefore, the probability of the first student being present and the second student being absent is:

P(P and A) = P(P) × P(A) = (29/30) × (1/30) = 29/900

The total probability of one student being absent and the other being present is the sum of the probabilities of the two cases:

P = P(A and P) + P(P and A) = (29/900) + (29/900) = 58/900

Simplifying the fraction by dividing both the numerator and denominator by 2, we get:

P = 29/450

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The modulus of |-r| means that it is an absolute value. Therefore, the answer is "s".

The absolute value function is defined by the following piecewise rule, depending on the input of the function:

|x| = x, x ≥ 0.

|x| = -x, x < 0.

It measures the distance of a point x to the origin, thus, |-2| = |2| = 0, and has vertex(turning point) at (0,0). Then the range is from the y-coordinate of the vertex to positive infinity.

WE have given as s=l-r l

When we add a positive or negative number in between the lines then; it is;

|-r| goes through = -r = -s

|-r| goes through = r = s

The modulus of |-r| means that it is an absolute value. Therefore, the answer is "s".

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An equivalent expression for \(6d^(-4) / (21d^7) is 2 / (7d^4)\), or negative \(2 / (7d^3)\) if you prefer to write the exponent as a negative power.

To simplify the expression \(6d^{(-4) }/ (21d^7),\) you can first cancel out common factors between the numerator and denominator. Both 6 and 21 can be divided by 3, and\(d^{(-4)\) and \(d^7\) can be simplified using the rule that a negative exponent means the reciprocal of the corresponding positive exponent:

\(6d^{(-4) }/ (21d^7) = (2d^7) / (7d^{11})\)

This expression can be further simplified by factoring out a 2 from the numerator:

\((2d^7) / (7d^{11}) = 2 / (7d^{(11-7)}) = 2 / (7d^4)\)

Therefore, an equivalent expression for \(6d^(-4) / (21d^7) is 2 / (7d^4)\), or negative \(2 / (7d^3)\) if you prefer to write the exponent as a negative power.

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Answer:

2

Step-by-step explanation

12-3 = 9

-3-4= - 7

question  12+(-3) - 3- 4

9 - 7 = 2

4*(-7)

28

12 + (-3)

12 - 3

9

-3(-4)

3*4

12

Best of Luck!

the dimensions of an NHL ice rink are 85 ft by 200 ft.

Let's assume that the width of the rink is x ft. Then the length of the rink is 30 ft longer than twice the width, which means the length is (2x+30) ft.

The perimeter of the rink is the sum of the lengths of all four sides, which is given as 570 ft. So we can write:

2(width + length) = 570

Substituting the expressions for width and length, we get:

2(x + 2x + 30) = 570

Simplifying and solving for x, we get:

6x + 60 = 570

6x = 510

x = 85

So the width of the rink is 85 ft, and the length is (2x+30) = 200 ft.

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Answer:

0.300

Step-by-step explanation:

Answer:

0.003

Step-by-step explanation:

Answer:

m=15/14

Step-by-step explanation:

y2-y1

x2-x1

(3, 0) (-11, -15)

x1 y1   x2   y2

-15-0

-11-3          = -15/-14 m=-15/-14 = 15/14

The equation of the vertical asymptote of the function \(g(x)=4log_{2} (x-2)+5\) is x=2.

Vertical asymptotes are vertical lines that represent the zeros of a rational function's denominator. Asymptotes can also occur in other situations, such as logarithms. It occurs at the x-value that is outside the domain of the function, therefore the graph can never cross it.

There may be a vertical asymptote along the vertical line if a portion of the graph is about to turn vertical. At the point of x along which you discovered the vertical asymptote, the function's value changes to either ∞ or -∞. A vertical asymptote, however, must never touch the graph.

Graph the function \(g(x)=4log_{2} (x-2)+5\)

(x,y)= (3,5), (4,9), (6,13)

From graph we can see that the graph is turning to be vertical from x=2. So, the equation of vertical asymptote of the function is x=2.

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The complete question is:

“What is the equation of the vertical asymptote of \(g(x)=4log_{2} (x-2)+5\)? enter your answer in the box.”

Step-by-step explanation:

Take two empty ice cream cups. Make a small hole at the bottom of each cup and pass a long thread through them. Tie a knot or match stick at each end of the thread so that the thread does not slip out through the holes. ... Thus, sound can travel through a solid

Answer:

The plan that is most useful for demonstrating a new technology or service or to reach a market that is widely spread out is a proof-of-concept website

The statement about the market section of the classic business plan that is not true is that some people prefer to relocate the competition and competitive advantage section from the market section to the industry section.

A critical risk to the success of your business plan is Overlooked competition.

The pitch deck categories that is sometimes given in the form of a user's experience is Problem slide.

There are two goals you can seek in the "ask" of your elevator pitch. One is to build your network and the other is to get the listener to Make a micro-commitment

A good marketing strategy is most likely to focus on the longer-term competitive plan.

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Let's say you know the measure of angle 10. Let's make it 120 degrees.

Since it looks like you're going through a traversals unit (or something that includes traversals), you know that angle 10 and angle 8 are the same, which means they are both 120 degrees.

Now, since a line is 180 degrees on one side, you have to subtract 180-120 to find angle 7, which is 60.

Using the exterior-interior rule (I don't know the name), you know that angle 7 is equal to angle 1, which gets you 60.

Angle 1: 60 degrees.

You can do the same thing with another angle to find 12, or continue with this scenario with angle 10 being 120 degrees.

Edit: If you want to continue with this scenario, you can use the two interior angle rule, where angle 9 is equal to angle 1, and angle 12 is equal to angle 5. This also means angle 13 is equal to angle 8. But, since angle 13 is also 120 degrees, and there are 180 degrees in a line, that means angle 12 is also 60 degrees.

Angle 12: 60 degrees.

To form a triangle, the set of line segments must satisfy the triangle inequality theorem, which states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side. Therefore, we need to check if the given line segments 8 cm, 4 cm, and 3 cm meet this requirement.

We can start by checking if the sum of the two smaller sides (3 cm and 4 cm) is greater than the largest side (8 cm). 3 cm + 4 cm = 7 cm, which is less than 8 cm. Therefore, these three line segments cannot form a triangle.

In general, for a set of line segments to form a triangle, the largest side must be smaller than the sum of the other two sides. In this case, the line segment of 8 cm is too long compared to the other two sides, which makes it impossible to form a triangle.

In conclusion, there are no line segments that meet the requirements to form a triangle with lengths of 8 cm, 4 cm, and 3 cm.

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