What is the equation of the circle with center (-4, -1) and radius 3?

Answer:

The minimum distance of Mercury from the Sun is  

28.5

million miles, and the maximum distance is  

43.5

million miles.

Step-by-step explanation:

its the right answer

you add or subtract 7.5 from 36 to get the minimum and maximum because thats the distance from 36 that it varies

Answer:

#1. 28.5
#2. 43.5

Answer:

C 120 degrees

Step-by-step explanation: 3 times 4 equals 12 so if 4 peices are eaten then there is only 2/3 left so theres only 240 degrees left of the pizza so we take 360 minus 240 we get 120 so there is 120 degrees of pizza eaten by johnson.

Step-by-step explanation:

use the slope formula

y2-y1 / x2-x1

Answer:

3 times at 3

Step-by-step explanation:

Answer:

4.5ft per side

Step-by-step explanation:

square has four equal sides and is L times w times h= A but we have A= 18 already so you reverse and divide so

18/4=4.5

Answer:

50% decrease

Step-by-step explanation:

130-65 = 65

65/130 = 0.5

0.5 x 100 = 50

Answer:

Option B

Step-by-step explanation:

704 cubic centimeters

The solutions for the quadratic equation:

x^2 - 8x = -3

Are:

Here we want to solve the quadratic equation:

x^2 - 8x = -3

First we can move all the terms to the left side so we get:

x^2 - 8x + 3 = 0

Using the quadratic formula (or Bhaskara's formula) we can get the solutions for x as:

\(x = \frac{8 \pm \sqrt{(-8)^2 - 4*¨1*3} }{2*1} \\\\x = \frac{8 \pm 7.2 }{2}\)

Then the two solutions for the quadratic equation are:

x = (8 + 7.2)/2 = 7.6

x = (8 - 7.2)/2 =0.4

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By doing a change of units, we know that he will need 40 pint jars to hold the whole volume of sauce.

We know that Joe makes tomato sauce to sell at a craft fair, and we know that he did make that sauce in 5-gallon batches.

We want to see how many jars do he need to hold these 5 gallons, so we need to perform a change of units.

Remember the relation:

1 gallon  = 8 pints.

So, for each gallon, he will need 8 pint jars, then for the 5 gallons, he will need:

5*8 pint jars = 40 pint jars.

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Answer:

2 and 4

Step-by-step explanation:

The square root of 10 is 3.16, which is between 2 and 4.

I DON'T KNOW

Answer:

A would be correct

Step-by-step explanation:

the answer is A.

Answer:

Twenty-two months (a year and ten months)

Step-by-step explanation:

First, we have to find how much is 5% of 500

500 x 0.05 = 25

Next, you add it to 500

so after the first month, you will have $525

Then, we have to find 5% of 525

525 x 0.05 = 26.25

meaning that after the second month, you'll have $551.25

We keep on repeating these steps until we reach the desired amount.

month three:

$551.25 x 0.05 = 27.5625      

551. 25 +  27.5625 = 578.8125

month four:

578.8125 x 0.05 = 28.940625

578.8125 + 28.940625 = 607.753125

month five:

607.753125 x 0.05 = 30.38765625

607.753125 + 30.38765625 = 638.14

month six:

638.14 x 0.05 = 31.91

638.14 + 31.91 = 670.05

month seven:

670.05 x 0.05 = 33.51

670.05 + 33.51 = 703.55

month eight:

703.55 x 0.05 = 35.18

703.55 + 35.18 = 738.73

month nine:

738.73 x 0.05 = 36.94

738.73 + 36.94 = 775.67

month ten:

775.67 x 0.05 = 38.78

775.67 + 38.78 = 814.45

month eleven:

814.45 x 0.05 = 40.72

814.45 + 40.72 = 855.17

month twelve:

855.17 x 0.05 = 42.76

855.17 + 42.76 = 897.93

month thirteen:

897.93 x 0.05 = 44.90

897.93 + 44.90 = 942.83

month fourteen:

942.83 x 0.05 = 47.14

942.83 + 47.14 = 989.97

month fifteen:

989.97 x 0.05 = 49.50

989.97 + 49.50 = 1039.47

month sixteen:

1039.47 x 0.05 = 51.97

1039.47 + 51.97 = 1091.44

month seventeen:

1091.44 x 0.05 = 54.57

1091.44 + 54.57 = 1146.01

month eighteen:

1146.01 x 0.05 = 57.30

1146.01 + 57.30 = 1203.31

month nineteen:

1203.31 x 0.05 = 60.17

1203.31 + 60.17 = 1263.48

month twenty:

1263.48 x 0.05 = 63.17

1263.48 + 63.17 = 1326.65

month twenty-one:

1326.65 x 0.05 = 66.33

1326.65 + 66.33 = 1392.98

month twenty-two:

1392.98 x 0.05 = 69.65

1392.98 + 69.65 = 1462.63

month twenty-three:

1462.63 x 0.05 = 73.13

1462.63 + 73.13 = 1535.76

So your final answer would be that it would take twenty-two months (a year and ten months) to have enough money to buy the computer.

p.s. sorry for the super long answer, I wanted to make sure you had the complete process. hope this helped!

Answer:

y = 1

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

-(-4)

so -×- becomes +

so -(-4)= 4

Answer:

No the answer is D

Step-by-step explanation:

-2

Answer:

5 13/20

Step-by-step explanation:

Answer:

x > 2

Step-by-step explanation:

x - 5 < 3x - 9

x - 5 + 5 < 3x - 9 + 5

x < 3x - 4

x - 3x < 3x - 4 - 3x

-2x < -4

(-2x)(-1) > (-4)(-1)

2x > 4

2x/2 > 4/2

x > 2

Answer:

x > 2.

The solution in interval notation is (2, ∞).

Step-by-step explanation:

2x - (x + 5) < 3x - 9

2x - x - 5 < 3x - 9

2x - x - 3x < -9 + 5

-2x < -4

Divide both sides by -2

x > 2    (Note that the sign flips because we are dividing by a negative)

Answer:

Mean: 10.9

Median: 11

Midrange: 9.5

Mode: 16

Explanation:

The mean is the sum of all the values of the data, divided by the number of data.

In this case, the number of data is 9, the total universities we have the stats.

The sum of all burglaries is:

The mean is:

To one decimal: the mean is 10.9

THe median is the value that falls in the middle of the data, ordered in ascending form.

The ordered data is

0.1728 proportion of suburban park users bike on the park trail .the answer is option O 0.1728.

what you mean by proportion?

Proportion refers to the relationship between a part and the whole. In statistics, a proportion is a measure that describes the size of a subset relative to the size of the entire set. It is usually expressed as a fraction or a percentage.

In the given question,

To find the proportion of suburban park users who bike on the park trail, we need to divide the number of suburban park users who bike by the total number of suburban park users.

From the table, we can see that the number of suburban park users who bike is 42 and the total number of suburban park users is 243.

So, the proportion of suburban park users who bike on the park trail is:

42/243 = 0.1728

Therefore, the answer is option O 0.1728.

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The equation y = \(-0.024x^2\) + 0.0791x + 4.873 represents a quadratic function with a downward-opening parabol

The given expression is a quadratic equation in the form y = -0.024x^2 + 0.0791x + 4.873. Let's analyze its components and characteristics.

The equation represents a quadratic function, where x is the independent variable and y is the dependent variable. The coefficients in front of each term determine the shape, position, and direction of the graph.

The term with the highest power of x is -0.024x^2, which indicates a downward-opening parabola. The coefficient -0.024 determines the steepness of the curve. A negative coefficient means the parabola is concave down.

The term 0.0791x is the linear term and determines the slope of the line. A positive coefficient indicates an upward or positive slope. It affects the overall direction and position of the graph.

The constant term 4.873 is the y-intercept. It indicates the point at which the graph intersects the y-axis when x = 0.

To analyze the graph of the quadratic equation further, we can calculate the vertex. The x-coordinate of the vertex can be found using the formula x = -b/(2a), where a and b are the coefficients of x^2 and x, respectively. In this case, a = -0.024 and b = 0.0791. Substituting these values into the formula, we have x = -0.0791 / (2 * -0.024) ≈ 1.643. By substituting this x-coordinate into the equation, we can find the y-coordinate of the vertex.

Overall, the equation y =\(-0.024x^2 + 0.0791x\) + 4.873 represents a quadratic function with a downward-opening parabola. The specific properties, such as the vertex and other key points, can be determined by further calculations and analysis of the equation.

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Answer:10,-4 and 58/9,-2

Step-by-step explanation:

Plato users

a) -32.06 (To the nearest hundredth)

b) -37.7 (To the nearest tenth)

c) 3.1 (To the nearest tenth)

d) 5.86  (To the nearest hundredth)

f) -4.33  (To the nearest hundredth)

g) 11.44  (To the nearest hundredth)

h) 62x + 45 = 38x + 79

i) 46y - 18 = -37y

An equation is a mathematical statement that asserts the equality of two expressions. It consists of two expressions separated by an equal sign (=), and shows the relationship between the variables present in the equation. Equations are used to model real-world problems and find solutions to various mathematical problems.

They can be solved for a specific variable by using various mathematical methods and techniques.

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Check the picture below.

Answer:you know how to get it look it up :D

Step-by-step explanation:

Give me big brain plz

Answer:

6

Step-by-step explanation:

\(g(9) = 9 - 2 = 7\\f(9) = -2(9) + 19 = -18 + 19 = 1\\g(9) - f(9) = 7 - 1 = 6\)

Quantity of flour needed to make 20 pancakes =

\( = 1 \frac{2}{3} \: \)

\( = \frac{3 \times 1 + 2}{3} \)

\( = \frac{5}{3} \: cups \: of \: flour\)

Then , number of pancakes that can be made from 1 cup of floor :-

\(20 \div \frac{5}{3} \)

\(20 \times \frac{3}{5} \)

\( \frac{60}{5} \)

\( = 12 \: pancakes\) .

Therefore , 12 pancakes can be made from 1 cup of floor .

Number of pancakes that can be made with 1 cup of flour = 12 pancakes

Number of pancakes that can be made with 9 cups of flour :-

= 9 × 12

= 108 pancakes

Therefore , I can make 108 pancakes with 9 cups of flour .

Yes , I have enough flour to make 100 pancakes . I say this because :-

With one cup of flour I can make = 12 pancakes

With 9 cups of flour I can make =

= 9 × 12

= 108 pancakes

As I can make 108 pancakes with 9 cups of flour , I can conclude that I have enough flour to make 100 pancakes .

Answer:

\(\displaystyle \frac{\pi(5e^4+8e^2-1)}{2e^4}\approx9.526\)

Step-by-step explanation:

This can be solved with either the washer (easier) or the shell method (harder). For the disk/washer method, the slice is perpendicular to the axis of revolution, whereas, for the shell method, the slice is parallel to the axis of revolution.  I'll show how to do it with both:

Shell Method (Horizontal Axis)

\(\displaystyle V=2\pi\int^d_cr(y)h(y)\,dy\)

Radius: \(r(y)=2-y\) (distance from y=2 to x-axis)

Height: \(h(y)=2-(-\ln y)=2+\ln y\) (\(y=e^{-x}\) is the same as \(x=-\ln y\))

Bounds: \([c,d]=[e^{-2},1]\) (plugging x-bounds in gets you this)

Plugging in our integral, we get:

\(\displaystyle V=2\pi\int^1_{e^{-2}}(2-y)(2+\ln y)\,dy=\frac{\pi(5e^4+8e^2-1)}{2e^4}\approx9.526\)

Washer Method (Parallel to x-axis)

\(\displaystyle V=\pi\int^b_a\biggr(R(x)^2-r(x)^2\biggr)\,dx\)

Outer Radius: \(R(x)=2-e^{-x}\) (distance between \(y=2\) and \(y=e^{-x}\))

Inner Radius: \(r(x)=2-1=1\) (distance between \(y=2\) and \(y=1\))

Bounds: \([a,b]=[0,2]\)

Plugging in our integral, we get:

\(\displaystyle V=\pi\int^2_0\biggr((2-e^{-x})^2-1^2\biggr)\,dx\\\\V=\pi\int^2_0\biggr((4-4e^{-x}+e^{-2x})-1\biggr)\,dx\\\\V=\pi\int^2_0(3-4e^{-x}+e^{-2x})\,dx\\\\V=\pi\biggr(3x+4e^{-x}-\frac{1}{2}e^{-2x}\biggr)\biggr|^2_0\\\\V=\pi\biggr[\biggr(3(2)+4e^{-2}-\frac{1}{2}e^{-2(2)}\biggr)-\biggr(3(0)+4e^{-0}-\frac{1}{2}e^{-2(0)}\biggr)\biggr]\\\\V=\pi\biggr[\biggr(6+4e^{-2}-\frac{1}{2}e^{-4}\biggr)-\biggr(4-\frac{1}{2}\biggr)\biggr]\)

\(\displaystyle V=\pi\biggr[\biggr(6+4e^{-2}-\frac{1}{2}e^{-4}\biggr)-\frac{7}{2}\biggr]\\\\V=\pi\biggr(\frac{5}{2}+4e^{-2}-\frac{1}{2}e^{-4}\biggr)\\\\V=\pi\biggr(\frac{5}{2}+\frac{4}{e^2}-\frac{1}{2e^4}\biggr)\\\\V=\pi\biggr(\frac{5e^4}{2e^4}+\frac{8e^2}{2e^4}-\frac{1}{2e^4}\biggr)\\\\V=\pi\biggr(\frac{5e^4+8e^2-1}{2e^4}\biggr)\\\\V=\frac{\pi(5e^4+8e^2-1)}{2e^4}\approx9.526\)

Use your best judgment when deciding on what method you use when visualizing the solid, but I hope this helped!

Based on the limited information provided, it is not possible to definitively determine the type of economy in Country A. More specific details and factors would be necessary to make a conclusive determination.