if f(x)=-2x-3, find f(-1)

A pattern is a recurring arrangement of numbers, forms, colours, and so on.

In mathematics, a pattern is a recurring arrangement of numbers, forms, colours, and so on. The Pattern may be applied to any form of event or object. A pattern is defined as a group of integers that are connected to each other in a specified way.

As per the pattern, Each figure has 3 more squares than the one before it.

Hence, the correct option is C.

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The percentage decrease of the depth of the lake from January to August is 20%.

The difference between the initial and final numbers is shown as a percentage reduction. It displays a percentage loss of value compared to the original regardless of the units. The decrease is equal to the initial amount less the final amount.

Given,

The depth of lake in January = 943 feet

The depth of lake in August = 754.4 feet

The difference is = (943-754.4) feet

                             = 186.6 feet

So, the percentage decrease of the depth of the lake from January to August will be =  (186.6 ÷ 943) × 100

                        = 20%

Therefore, the answer is 20%.

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Answer:

  Draw perpendicular bisectors of two the sides

Step-by-step explanation:

The point that is the same distance from each of their houses is the point called the "circumcenter." It is the center of the circle that passes through the vertices of the triangle. Then each of the vertices is the same distance from the center.

The circumcenter is the intersection point of the perpendicular bisectors of the sides of the triangle. To find it, the group needs to draw perpendicular bisectors of two of the sides.

Answer:

The answer is C

Step-by-step explanation:

EDGE2020

Answer:

  18 cubic inches

Step-by-step explanation:

The formulas for the volumes of a cone and a cylinder can be used to answer this question.

The volume of a cone is given by ...

  V = 1/3πr²h . . . . . volume of cone with radius r and height h

The volume of a cylinder is given by ...

  V = πr²h . . . . . volume of a cylinder with radius r and height h

Comparing the formulas, we see that the volume of a cone is 1/3 the volume of a cylinder with the same radius and height.

  (cone volume) = 1/3(cylinder volume)

Multiplying this equation by 3 gives ...

  3×(cone volume) = (cylinder volume)

Using the given value for cone volume, we have ...

  cylinder volume = 3×(6 in³) = 18 in³

The volume of the cylinder is 18 cubic inches.

So the value of X is 15 degree.

Look at the attached picture

Hope it will help you

Good luck on your assignment

AC=180°

\(3x + 8x + 15 = 180 \\ 11x = 165 \\ x = 15\)

The motivations for producers and consumers in the black market are largely driven by financial incentives and a desire to avoid legal consequences.

The black market refers to the illegal trade of goods and services that are not permitted by law, such as drugs, counterfeit items, and stolen goods. Producers and consumers in the black market are motivated by a variety of factors, including:

High profits, Producers in the black market can earn higher profits than they would in legal markets due to the lack of regulation and taxes.

Escaping legal consequences: Producers and consumers may participate in the black market to avoid legal consequences, such as fines or imprisonment, for engaging in illegal activities.

Limited availability, Some goods and services are only available on the black market due to legal restrictions or limited supply.

Low prices, Consumers in the black market can often purchase goods and services at lower prices than in legal markets due to the lack of taxes and regulations.

Desire for anonymity, The black market can provide anonymity for both producers and consumers, allowing them to engage in illegal activities without fear of detection or retribution.

However, participating in the black market also comes with significant risks, including the possibility of arrest, fines, and even violence.

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Step-by-step explanation:

–5/6 + 7/5 = –25/30 + 42/30

= 17/30

The growth rate function indicates that the number of years The Iron Man's net worth will reach the net worth of T'Challa is about 87 years

The growth rate is the rate of growth of a function with regards to the input variable.

T'Challa's net worth in the Marvel comics = 80 trillion (8 × 10¹³) Dollars

The Iron Man's net worth = 20 billion (2 × 10¹⁰) Dollars

The growth rate per annum of The Iron Man's net worth = 10% per annum

The number of years it will take to reach T'Challa can therefore, be found as follows;;

(2 × 10¹⁰) × (1 + 0.1)ˣ = (8 × 10¹³)

(1 + 0.1)ˣ = (8 × 10¹³)/(2 × 10¹⁰)

x·ln(1 + 0.1) = ln((8 × 10¹³)/(2 × 10¹⁰))

x = (ln((8 × 10¹³)/(2 × 10¹⁰)))/(ln(1 + 0.1)) ≈ 87 years

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The consumer surplus is approximately $145.83.

To find the consumer surplus, we first need to find the demand function's inverse, which gives us the willingness to pay for each unit of the product. The demand function is:

D(x) = √(739 - 3x)

Setting D(x) equal to the equilibrium price of $25, we get:

25 = √(739 - 3x)

Squaring both sides, we get:

625 = 739 - 3x

Solving for x, we get:

So at a price of $25 per unit, the consumer is willing to buy 38 units per month.

Now we can calculate the consumer's surplus.

The consumer\(x = (739 - 625) / 3 = 38\) surplus is the difference between the total amount that consumers are willing to pay for a certain quantity of a good and the total amount they actually pay. In this case, the consumer's surplus can be calculated as:

\(CS = \int_0^{38} [D(x) - 25] dx\)

where D(x) is the demand function, and the integral is taken over the range of 0 to 38, which represents the quantity demanded at a price of $25 per unit.

Evaluating this integral, we get:

\(CS = \int_0^{38} [\sqrt{(739 - 3x)} - 25] dx\\\\= [1/6 (739 - 3x)^{(3/2)} - 25x]_0^{38}\\\\= \$ 145.83\)

Therefore, the consumer surplus is approximately $145.83.

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Answer:

(0, 1)

Step-by-step explanation:

The y-intercept is where a graph intersects with the y-axis. The x-coordinate would be 0, and the y-coordinate would be any real number.

Given the information above, the y-intercept is (0, 1) or 1 because its x-coordinate is 0 and y-coordinate is a real number.

Answer:

y-intercept is (0,1)

Step-by-step explanation:

When we are looking at the chart we’re looking for a point where the x is 0 and the y is 1 which is the definition of y-intercept, where the line intersects only with the y-axis

We can see this in the chart but if that point is not on there, we have another way to find it.

This is the formula, point-slope form.

(Math people are not that creative, you use it when you have the slop and a point)

First, we need to find the slope

We do this by taking two points and using the formula y2-y1 over (/) x2-x1

So our formula is y2-y1/x2-x1.

If you pick two random points, (We will use 0,1 and 1,3) and subtract them from each other, you have the slope

3 is y2 because it’s a y point and its the second point and 1 is our other point because its a y point and its the first y point

So our equation now is 3-1/x2-x1

Now we have to sub in for the x’s

Do the same thing and our equation now is…

3-1/1-0

This gets us to 2/1 which is obviously 2.

Now we have our slope so we just have to fill in for the point.

Point slope form uses the model y-y1=m(x-x1)

So we use our same two points and get

Y-1=2(x-0)

Solve this out to Slope intercept form which will give us our y-intercept.

This gets us to y=2x+1 so our y-intercept is clearly still 1!

Answer: Identity Property of Multiplication

Step-by-step explanation:

Answer: The area of the composite figure is 240.

Step-by-step explanation: For the area of the rectangle, multiply the length and width. That's 20 x 10, which is 200. Now we have to find the area of the triangle. That's length x height x 1/2. 20 x 4 is 80, and then half of that is 40. Add 200 and 40 to get 240.

9514 1404 393

Answer:

  B) 1.25P

Step-by-step explanation:

The perimeter of the square is P, so each side is 0.25P. That means the rectangle had sides of 2(0.25P) and 1/2(0.25P) = 0.5P and 0.125P.

The rectangle's perimeter is ...

  perimeter = 2(L+W) = 2(0.5P +0.125P) = 2(0.625P)

  perimeter = 1.25P . . . . matches choice B

Answer:

(a) 110

Step-by-step explanation:

We can plug in 7 for a and 3 for b.  Then we can simplify

11(a + b)

11(3 + 7)

11(10)

110

Thus, the value of 11(a + b) when a = 7 and b = 3 is 110, or answer a

Answer:

0.40

Step-by-step explanation:

fraction of left-handed to total in the group will be

24/60

cut down to 2/5

converting to decimal, it becomes 0.40

No, being Independent and being a swing voter is not disjoint that mutually exclusive.

As in 2012 Pew Research survey asked 2,373 randomly sampled registered voters ;

The 11% of respondents are  identified as both Independent and swing voters which means that there is overlap between the two groups, i.e. they are not mutually exclusive.

Some voters may identify as Independent and also as swing voters, meaning they are not independent in terms of political affiliation, but are still considered swing voters because they are not firmly committed to one political party.

Therefore, the categories of Independent and swing voter are not disjoint and can coexist for the same individual.

The given question is incomplete , the complete question is

A 2012 Pew Research survey asked 2,373 randomly sampled registered voters their political affiliation (Republican, Democrat, or Independent) and whether or not they identify as swing voters. 35% of respondents identified as Independent, 23% identified as swing voters, and 11% identified as both.

Are being Independent and being a swing voter disjoint, i.e. mutually exclusive ?

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Answer:

Amount of Tax = $19.97

Tax Rate = 28%

Step-by-step explanation:

Amount of Tax = $71.97 - $52 = $19.97

Tax Rate = 19.97/71.97 × 100

= 0.28 × 100 = 28%

The given system of equations is:

8a - 4b = 20...............(1)

5a - 8b = 62...............(2)

Multiply equation (1) by 2

16a - 8b = 40........................(3)

Subtract equation (2) from equation (3)

11a = -22

a = -22/11

a = -2

Substitute a = -2 into equation (1)

8a - 4b = 20

8(-2) - 4b = 20

-16 - 4b = 20

4b = -16-20

4b = -36

b = -36/4

b = -9

Therefore the solution to the system of equations is:

a = -2 and b = -9

Answer:

Step-by-step explanation:

For the function, the x-intercept of g(x) is at (5,0).

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. The usual way to refer to a function is as f(x), where x is the input.

Given f(x) = ln(x)

and g(x) = -f(x - 4)

the function is

g(x) = -ln(x - 4)

when x = 5

g(x) = -ln(5 - 4)

g(x) = -ln1

g(x) = 0

the coordinates are (5, 0)

Hence the x-intercept is (5, 0).

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If a linear function is increasing, the reciprocal function must be decreasing, mathematically because the reciprocal function is the inverse of the linear function

The reciprocal function of a linear function is given by the formula:

f(x) = 1/x

If a linear function is increasing, then its slope (m) is positive. This means that the slope of the reciprocal function must be negative. The slope of the inverse of a linear function is the negative reciprocal of the slope of the linear function, meaning that the slope of the reciprocal function must be negative for the linear function to be increasing.

To illustrate this, we can consider a simple example of a linear function, f(x) = 2x. This linear function has a positive slope (2), so its reciprocal function, f(x) = 1/x, must have a negative slope (-1). This means that the reciprocal function is decreasing.

In general, if a linear function is increasing, then its reciprocal function must be decreasing, as the slope of the reciprocal function must be the negative reciprocal of the slope of the linear function.

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Mean - this is the average. Add up the numbers and divide by the count of the numbers in the data set.

11+13+14+16+17+18+20+20+21+24+25+29 = 228

There are 12 numbers, so divide by 12.

228/12 = 19. The mean is 19.

Median - - - this is the MIDDLE number. Your data is already in numerical order (hooray!) so there are 12 numbers. Since it's even, we'll take the average of the 2 middle numbers. The 6th number is 18 and the 7th number is 20. The average of these is 19. So the median is 19.

(Side note: yes, median and mean can be the same.)

Mode - - - this is repeat/most common numbers! 20 repeats. 20 is the mode.

Range - - - biggest number is 29, littlest is 11. The range is 29-11 = 18.

Using the relation between velocity, distance and time, it is found that:

Velocity is distance divided by time, that is:

\(v = \frac{d}[t}\)

Flying against the wind, an airplane travels 2520 kilometers in 4 hours, that is:

\(v - v_w = \frac{2520}{4}\)

\(v - v_w = 630\)

\(v = 630 + v_w\)

Flying with the wind, the same plane travels 9450 kilometers in 9 hours, hence:

\(v + v_w = \frac{9450}{9}\)

\(v + v_w = 1050\)

\(v = 1050 - v_w\)

Hence, solving for the wind's speed:

\(630 + v_w = 1050 - v_w\)

\(2v_w = 420\)

\(v_w = \frac{420}{2}\)

\(v_w = 210\)

For the plane, we have that:

v = 1050 - 210 = 840.

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Answer:

The total cost would be $9.45

Step-by-step explanation:

Answer:

  (d)  (1, 2)

Step-by-step explanation:

You want to know which of the given points satisfies the inequality.

We find it easiest to plot the given points on a graph of the solution. This shows us that (1, 2) is a solution to the inequality. (It lies in the solution area.)

__

Additional comment

Another way to choose the answer is to try each of the points in the inequality.

If you can visualize the boundary line (without plotting it) as a line with positive slope and a y-intercept of 2, you can more readily reject the first choice and accept the last choice. (0, 3) is above the y-intercept, and (1, 2) is to the right of it (in the solution space).

You may also recognize the x-intercept will be -3, so the second choice lies above the boundary line.

Answer: Choice A

Work Shown:

\(m = \text{geometric mean of x and y}\\\\m = \sqrt{x*y}\\\\m = \sqrt{18*7}\\\\m = \sqrt{9*2*7}\\\\m = \sqrt{9}*\sqrt{2*7}\\\\m = 3\sqrt{14}\\\\\)

Answer:

For Loan A, his total payback amount would be $28,638. In turn, for Loan B his total payback amount would be $35,637.60.

Step-by-step explanation:

For the 10-year Loan A, with monthly payments of $ 238.65, the total value of the payback is determined by calculating the monthly amount for the number of months that are 10 years old, that is: 238.65 x 10 x 12, the result of which is $ 28,638.

On the other hand, for the 20-year Loan B, with monthly payments of $ 148.49, the total value of the payback is determined by calculating the monthly amount for the number of months that are 20 years old, that is: 148.49 x 20 x 12, the result of which is $ 35,637.60.

Answer:

Loan B will have the lowest total payback because the total of the principal and the interest paid for loan B is less than the same total for loan A.

Step-by-step explanation:

Just plz trust me

Answer:

B. x=4

Step-by-step explanation: