The equation of a circle in general form is x2+y2−4x+5y−3=0.

What are the coordinates of the center of the circle and the radius of the circle?

center: (−2,52); radius = 53√2

center: (2,−52); radius = 53√2

center: (2,−52); radius = 3

center: (−2,52); radius = 3

Value of R = 1.72×10¹¹ meter

The correct option is B.

Expressions in math are mathematical statements that have a minimum of two terms containing numbers or variables, or both, connected by an operator in between. The mathematical operators can be of addition, subtraction, multiplication, or division.

For example, x + y is an expression, where x and y are terms having an addition operator in between.

Given, expression

R = √[1/{1/(149×10⁹)² - 1/(298×10⁹)²}]

R = √[1/{1/(149×10⁹)² - 1/(298×10⁹)²}]

R = √[1/{(6.71×10⁻¹²)² - (3.36×10⁻¹²)²}]

R = √[1/{4.50×10⁻²³ - 1.13 × 10⁻²³}]

R = √[1/3.37×10⁻²³]

R = √2.97×10²²

R = 1.72×10¹¹ meter

Hence, 1.72×10¹¹ meter is value of R.

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Complete question is here;

Answer: To find the percent increase in average movie theater ticket price, you can use the formula:

percent increase = (new value - old value) / old value * 100

Plugging in the values, we get:

percent increase = ($8.53 - $6.96) / $6.96 * 100 = 22.9%

So, the percent of increase in average movie theater ticket price for the 10-year period from 2007 to 2017 is 22.9%.

Step-by-step explanation:

Answer: 69

Step-by-step explanation:

In the equation 692 = 4,761, we can see that 692 is being multiplied by some number to get 4,761. To find that number, we can divide 4,761 by 692:

4,761 / 692 = 69.

So, 4,761 / 69 = 69

In this case, 692 is being multiplied by 69 to get 4,761, so 69 is the value we get when we divide 4,761 by 69.

Answer:

19

Step-by-step explanation:

8 = 1/3 (a+5)

24 = a + 5

=> a = 19

Answer:

[tex]a=19[/tex]

Step-by-step explanation:

[tex]8=\frac{1}{3} (a+5)[/tex]

To find the answer we have to find the value of the variable. In order to find the value of the variable we need to isolate it from the equation.

[tex]8=\frac{1}{3} (a+5)[/tex]
[tex]\frac{1}{3} (a+5)=8[/tex]
Multiply 3 on both sides:
[tex]8\times3=24[/tex]
[tex](a+5)=24[/tex]
Subtract both sides by 5:
[tex]24-5=19[/tex]
[tex]a=19[/tex]

Therefore your answer is "a = 19."

Hope this helps.

Answer:

First choice

y = 3ˣ

Step-by-step explanation:

It is easier if you examine the obviously wrong choices

Choice 2, y = 9x is incorrect because at x = 0, y = 9x should be 0, instead it is 1

Choice 3 , y = 3x is incorrect for the same reason

Choice 4 y = x³ is incorrect because at x = 0, x³ should be 0, instead it is 1

Correct choice is the first one: y = 3ˣ

Let's check:

x = 0,  y = 3⁰  = 1 because any number raised to the power 0 is 1

x = 1, y = 3¹ = 3; because any number raised to the power 1 is 1itself

x = 2; y = 3² = 9 ; so fts

You can test out the rest of the entries yourself

The periodic fixed costs of the company, based on the cost function, are $1,000.

The fixed costs refer to the period costs that do not change in total concerning the production or activity level and they relate to a financial period.

The fixed cost per unit decreases as more units are produced and vice versa.  However, within the relevant range, the fixed cost for the period remains the same.

A cost function is a model or formula that shows the total costs based on different cost behaviors (fixed and variable) and the relationship of costs to the production quantity.

Cost functions can be used to predict the total costs to be incurred under different production levels.

In this situation, the cost function, C = 1000 + 3.75q, shows that the fixed cost per period is $1,000 and $3.75 per unit (variable).

Thus, based on the cost function, the fixed costs are $1,000.

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Answer:

Step-by-step explanation:

Your first step should be to use the Distributive property to simplify the part where it says: -2(a+b). Then you need to put in the numbers given to you for a=2 and b=4  

Answer:

Step-by-step explanation:

First, we will use the property of radicals that states that (a √b) * (c √d) = (ac) √(bd). Since the expression has both multiplication and addition, we will break the expression down into its components and simplify each component separately.

6√x+7√(54) = 6√x + 7√(27*2) = 6√x + 7√27 * 7√2 = 6√x + 7√27 * (2*√2) = 6√x + 14√27 * √2 .

Next, we will simplify the second component of the expression: 12√(6) = 12√(2*3) = 12√2 * 6√3 = (4*3)√2 * 6√3 = 12√2 * 6√3.

Finally, we can combine the two separate parts of the expression to get the simplified version: 6√x + 14√27 * √2 - 12√2 * 6√3 = 6√x + 14√27 * √2 - 12√6.

The simplified version of the expression is 6√x + 14√27 * √2 - 12√6, in exact terms (no decimals).

The radius of the cylinder is 1.59 centimeters.

Remember that for a cylinder of radius R and height H, the volume is given by the formula:

V = pi*R^2*H

Where pi = 3.14

Here we know that the height is 76cm, and the volume is 600cm³, then we can replace these two in the equation to get:

600cm³ = 3.14*(76cm)*R^2

Solving for R, we will get:

R = √( 600cm³/3.14*(76cm)) = 1.59 cm

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The radius of the cylinder is r=50.129

The radius of the cylinder is the radius of a base. The altitude of the cylinder is a perpendicular segment from the plane of one base to the plane of the other and the height of the cylinder is the length of the altitude. The axis of a cylinder is the segment containing the centers of the two bases

The volume of a cylinder is 600,000.

The height is 76cm and the radius is unknown. How do you solve it?

The volume of a right cylinder can be determined by πr²h,

where

r is the radius,

h is the height, and

pi is a constant.

So:

76πr²=600000

πr²=600000/76=7894.736

r²=2512.972

r=50.129 cm^2

Hence, the radius is 50.129 cm^2

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Answer:

152

Step-by-step explanation:

8*10+12*6 =80+72 =152

Therefore , the solution of the given problem of circle comes out to be

angle is 5π /6 .

A circle is created when every point as in plane that is specific distance apart from another point does so (center). As a result, it is a curve made up of points that are spaced apart from one another in the plane. It is rotationally symmetrical about the center at all angles. Every pair of endpoints in the plane that make up a circle are evenly spaced away from the "center" and form a closed, two-dimensional object. A specular symmetries line is produced by a line that passes through the circle. It is rotationally symmetrical about the center at all angles.

Here,

Given : 4π/3

=>  4π/3 * 180/π

=> 240°

Thus , Angle measured from positive x -  axis  is anticlockwise direction.

=> 90° + 60° =  150°

=>  150° * π/180°

=> 5π /6

Therefore , the solution of the given problem of circle comes out to be

angle is 5π /6 .

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An equation is represented by the table is y= -4x+3. Therefore, option B is the correct answer.

The general equation of a straight line is y=mx+c, where m is the gradient, and y = c is the value where the line cuts the y-axis. This number c is called the intercept on the y-axis.

From the given table, we have coordinates (0, 3) and (1, -1)

Here, m=(-1-3)/(1-0)

m=-4

Substitute m=-4 and (x, y)=(0,3) in y=mx+c, we get

3=-4(0)+c

c=3

Substitute m=-4 and c=3 in y=mx+c, we get

y= -4x+3

Therefore, option B is the correct answer.

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"Your question is incomplete, probably the complete question/missing part is:"

Which equation is represented by the table?

y=-3x+1

y=-4x+3

y=3x-4

y=-2x+1

Answer:

32842

Step-by-step explanation:

837428942

Step-by-step explanation: angle on a straight line equals=180

(a) x+2x+3x =180

(b) 6x=180 (divide both sides by the coefficient of x i.e 6)x

    x=180divide by 60

    x =30

(c) now we know the value of x substitute it to get the largest value

      x+2x+3x =180

30+2(30)+3(30)=180

30+60+90=180

therefore the largest angle is 90 degrees

Answer:

y>\frac{2}{3} x+4

Step-by-step explanation:

Graph the inequality by finding the boundary line, then shading the appropriate area.

Hope this helps :)

Answer:

The graph that shows the translation f(x) = f(x) + 1 is the graph that is shifted upward by one unit on the y-axis. All the points on the graph have been moved upward by one unit, but the shape of the graph remains the same as the parent function.

The dotted line graph that shows the translation f(x) = f(x) + 1 is the one where the graph is shifted upward by one unit on the y-axis.

well,  the number is really "x", which oddly enough is the 100%.

we also know that 3/4% of "x" is 24, so

[tex]\begin{array}{ccll} amount&\%\\ \cline{1-2} x&100\\[1em] 24&\frac{3}{4} \end{array}\implies \cfrac{x}{24}~~ = ~~\cfrac{100}{~~ \frac{3 }{4 } ~~}\implies \cfrac{x}{24}=\cfrac{400}{3} \\\\\\ 3x=9600\implies x=\cfrac{9600}{3}\implies x=3200[/tex]

Answer:

Step-by-step explanation:

When the plane landed in Las Vegas it was 4:30PM Pacific time - this converts to 730 PM Eastern time.

The entire trip lasted from 9:45 am to 7:30 pm.  This is a total of 9 hours and 45 minutes.

Subtract 2 hours and 20 minutes for the layover and the plane was flying

for 7 hours and 25 minutes.

9 - 2 = 7 hours and 45 minutes - 20 = 25 minutes

Answer:

The equation that can be used to find y, the height of the first bounce, in inches, when the ball is dropped from a height of x inches is y=x/2. This can be determined by analyzing the data in the table:

-When the ball is dropped from a height of 10 inches, the height of the first bounce is 5 inches (y=5).

-When the ball is dropped from a height of 20 inches, the height of the first bounce is 10 inches (y=10).

-When the ball is dropped from a height of 30 inches, the height of the first bounce is 15 inches (y=15).

In all these cases, the height of the first bounce is half the height of the drop, meaning that the equation y=x/2 is the correct one

Answer:

B) y = x/2

Step-by-step explanation:

When the ball is dropped 10 inches, the ball bounces 5 inches

5 = 10/2

When the ball is dropped 20 inches, the ball bounces 10 inches.

10 = 20/2

When the ball is dropped 30 inches, the ball bounces 15 inches.

15 = 30/2

Answer:

(0, 28)

Step-by-step explanation:

Overview

To answer the question given, we have to find the point on the line that goes through the points given in the table when the x-axis represents the month of the year (1 is Jan, 2 is Feb, etc.) and the y-axis represents the average temperature for that month.

Method 1

I've attached a graph of the line for reference.

When we look at the graph of the line that goes through the points given in the table, we can determine that its y-intercept is (0, 28).

Method 2

To determine the y-intercept of the line without actually graphing it, we can construct an equation using the given points.

We know that the line's slope is defined as [tex]\dfrac{\textrm{rise}}{\textrm{run}}[/tex].

Using that information, we can solve for the line's slope by using any two of the given points. I will use the points for January (1, 42) and February (2, 56).

[tex]\textrm{slope} = \dfrac{56-42}{2-1} = \dfrac{14}{1} = 14[/tex]

Then, we can plug this value into the point-slope form equation

[tex]y - b = m(x - a)[/tex]

along with one of the given points [tex](a,b)[/tex] -- I'll use January (1, 42):

[tex]y-42=14(x-1)[/tex]

Next, to solve for the y-coordinate of the line's y-intercept, we can plug 0 into the equation for x and solve for y.

[tex]y - 42 = 14(0 - 1)[/tex]

[tex]y - 42 = 14(-1)[/tex]

[tex]y - 42 = -14[/tex]

[tex]y = -14 + 42[/tex]

[tex]y = 28[/tex]

Finally, we can plug the solved y-coordinate and 0 for the x-value (because we solved for when y when x = 0) into the format of a Cartesian coordinate:

(0, 28)

Answer:

----------------------------------------

The distance is the product of the speed and time.

Given:

Find the distance:

He paid 6.7% in taxes of his annual income.

A percentage is a number or ratio that can be expressed as a fraction of 100. If we have to calculate the percent of a number, divide the number by the whole and multiply by 100. Hence, the percentage means, a part per hundred. The word percent means per 100. It is represented by the symbol “%”

Given here: Income = $27000 and paid $1,809 in social security taxes.

Thus percentage of earnings  paid as taxes is

1809/27000 × 100 =6.7%

Hence, He paid 6.7% in taxes of his annual income.

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Therefore , as a result, after answering the question, we may state that the coordinates are -(68,-69); the answer is = x - y - 137 = 0.

When locating points or other geometric objects precisely on a continuum, such as Euclidean space, a coordinate system is a technique that uses one maybe more integers or coordinates. Locating a point or item on an a double plane requires the use of coordinates, which are pairs of integers. Two numbers called the y and x coordinates are used to describe a point's location on a 2D plane. a collection of integers that represent specific locations.

Here,

Given :

we provided with the coordinates as -

(68,-69)

so, the equation is = y -y1 = m(x-x1)

= y + 69 = x - 68

x - y - 137 = 0

Therefore , as a result, after answering the question, we may state that the coordinates are -(68,-69); the answer is = x - y - 137 = 0.

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Answer:

(0,3)

Step-by-step explanation

4x+y=3

anything multiplied by x would make it greater than 3 so x is 0 then y has to be equal to 3 so (0,3)

Answer:

the down payment of 20000 is 10% of the purchase price of 200000.

Step-by-step explanation:

To calculate the percentage of the down payment to the purchase price, you can use the following formula:

(down payment / purchase price) x 100

So in this case:

(20000 / 200000) x 100 = 0.1 x 100 = 10

Therefore, the down payment of 20000 is 10% of the purchase price of 200000.

The cost of laser eye surgery in Country B is $1500 for each eye.

What is the proportion?

Proportion is an equation that defines that the two given ratios are equivalent to each other. In other words, the proportion states the equality of the two fractions or the ratios.

A proportion is two ratios that have been set equal to each other,

a proportion is an equation that can be solved.

When we say that a proportion is two ratios that are equal to each other, it means this in the sense of two fractions being equal to each other.

For instance, 5/10 equals 1/2.

We have given,

The cost of laser eye surgery in Country A is $2000 for each eye.

The same surgery in Country B is 3/4 of this amount.

Based on the given conditions, formulate: 2000 * 3/4

Reduce the expression to the lowest term: 500 * 3

Calculate the product or quotient: 1500

Hence, The cost of laser eye surgery in Country B is $1500 for each eye.

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The cost of laser eye surgery in Country B is $1500 for each eye.

Proportion is an equation that defines that the two given ratios are equivalent to each other. In other words, the proportion states the equality of the two fractions or the ratios.

A proportion is two ratios that have been set equal to each other,

a proportion is an equation that can be solved.

When we say that a proportion is two ratios that are equal to each other, it means this in the sense of two fractions being equal to each other.

For instance, 5/10 equals 1/2.

We have given,

The cost of laser eye surgery in Country A is $2000 for each eye.

The same surgery in Country B is 3/4 of this amount.

Based on the given conditions, formulate: 2000 * 3/4

Reduce the expression to the lowest term: 500 * 3

Calculate the product or quotient: 1500

Hence, The cost of laser eye surgery in Country B is $1500 for each eye.

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Therefore , the solution of the given problem of slope comes out to be

1/10 , 2/15 , 3/20 and 4/25 slopes are respectively.

steep a line is defined by its slope. The phenomenon of gradient overflow occurs in equations based on gradients. By dividing the median of the run (width difference) at two points even by rise (vertical distinction) between these very same two points, one may calculate the slope. Modeling the fixed path problem involves using an equation of the hill variety, denoted by the formula y = mx + b. The location of the line's y-intercept, when the slope is m, a = b, and also the equation are all true (0, b).

Here,

Given:

To find the slope

we have to find dx/dy is the formula for slope,

Thus ,

=> x/y = 1/10

=> x/y = 2/15

=> x/y =  3/20

=> x/y = 4/25

Therefore , the solution of the given problem of slope comes out to be

1/10 , 2/15 , 3/20 and 4/25 slopes are respectively.

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Let x be the first day's ride.The second ride will then be equal to 1.5 times.The third day's journey will cost 1.5 (1.5x)The ride on the fourth day will cost 1.5*1.5. (1.5x)

The length of the line that connects two places serves as the unit of measurement for distance.

By subtracting the different coordinates from the pair if the two points are on the same horizontal or vertical line, the distance can be calculated.

Let x be the first day's ride.

The second ride will then be equal to 1.5 times.

The third day's journey will cost 1.5 (1.5x)

The ride on the fourth day will cost 1.5*1.5. (1.5x)

Consequently, the distance traveled over the four days is

65=x+1.5x+1.5*1.5x+1.5*1.5*1.5x

65=x+1.5x+2.25x+3.375x

65=8.125x

by multiplying both sides by 8.125, we get

x=65/8.125

x=8mile

the initial ride be x miles long.

The second day's ride will be 12 miles long (=1.5 x =1.5*8).

The third day's ride will be 18 miles (1.5 x 1.5).

The fourth day's ride will be 27 miles, or 1.5*1.5(1.5x).

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The cafe served 49 regular coffees.

You can use the proportion of regular coffees to the total number of coffees to find out how many regular coffees were served.

If 70% of the coffees served were regular, that means that 100-70 = 30% of the coffees served were decaffeinated.

To find out how many regular coffees were served, you can use the following proportion:

(Number of regular coffees) / (Total number of coffees) = 70% / 100%

You can then cross-multiply and solve for the number of regular coffees:

Number of regular coffees = (70/100) * (Total number of coffees)

Given the Total number of coffees = 70, you can substitute that and get:

Number of regular coffees = (70/100) * 70 = 49

Therefore, the number of regular coffees which the cafe served was 49.

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