3) Write an equation of a circle satisfying the following conditions:
Center: (-2,5)
Radius: 23
a) (x - 2)2 + (v + 5)= 12
b) (x + 2)2 + (y – 5)2 = 12
c) (x - 2)2 + (y + 5)= 144
d) (x + 2)2 + (-5) = 154

Answer:

11 times

Step-by-step explanation:

So if you look at the point where the line is on two real numbers at the top of the grid, it shows that it cost $10 for every 5 rides. So if you find the unit rate, divide 10 by 5 to see how much each ride cost, you get that each ride cost $2. Then just divide $22 by $2 and you get 11. Hope this helps, comment if you need more help

Answer:

Step-by-step explanation:

m4 + m3 = 180 (Supplementary angle on 1 line)

m6 +m3 = 180 (Supplementary angle)

-> m6=m4

-> x+80 = 4x-10

-> 90 = 3x

-> x = 30

-> m6=m4 = 80+30 = 110

...

m1+m4 = 180 (Supplementary angle on 1 line)

-> m1 = 180 -110 = 70

Answer:6.25

Step-by-step explanation:

Answer:

  3

Step-by-step explanation:

f(x) = (1/7)(7x) can be simplified to ...

f(x) = x

Then for x=3, ...

  f(3) = 3

Answer:V=(7x11)/2 x 9

Step-by-step explanation:

Height=h=9

volume=v

base area=(7x11)/2

Volume of triangular prism=base area x height

V=(7 x 11)/2 x 9

Answer:

a = ln (2b)

Step-by-step explanation:

2e^a =4b

Divide each side by 2

2/2 e^a =4/2b

e^a = 2b

Take the natural log of each side

ln(e^a) = ln(2b)

a = ln (2b)

Answer:

Step-by-step explanation:

Okay so basically what you need to do is find out how much you can take from 360, in this you you would add the two numbers (70+105) and subtract from 360.

Answer:

The perimeter of the triangle would be 21.2. The area would be 18 ft^2

Step-by-step explanation:

Hope this helps :)

Attached is the work I did to get the answers

Answer:

87x + 73

Step-by-step explanation:

Combine like terms.  Combining the x terms yields 87x; combining the constants yields 73.  Thus, the desired expression is 87x + 73.

Answer:87x+73

Step-by-step explanation:

Distribute the Negative Sign:

=57x+79+−1(−30x+6)

=57x+79+−1(−30x)+(−1)(6)

=57x+79+30x+−6

Combine Like Terms:

=57x+79+30x+−6

=(57x+30x)+(79+−6)

=87x+73

Answer:

20 and nine thousand nine hundred and twelve ten thousandth

Step-by-step explanation:

fifteen and eighty-eight ten thousandth =15 88/10000

Thirty six=36

36 - 15 88/10000

36 - 150088/10000

(36x10000 - 150088)/10000

(360000 - 150088)/10000

209912/10000=20 9912/10000

20 and nine thousand,nine hundred and twelve ten thousandth

The value of the expression [36 - (15 + 88 / 10,000)] is 20.9912.

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.

Subtract fifteen and eighty-eight ten-thousandths from thirty-six. Then the expression is given as,

⇒ 36 - (15 + 88 / 10,000)

The value of the expression is calculated as,

⇒ 36 - (15 + 88 / 10,000)

⇒ 36 - (150,088/10,000)

⇒ (360,000 - 150,088) / 10,000

⇒ 209,912 / 10,000

⇒ 20.9912

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Answer:

55

Step-by-step explanation:

90-35

Answer:

x is 55°

Step-by-step explanation:

The angle measurement of 35° & x° is 90 and you can tell by the angle being a square.

To find x:

90-35=x

x=55°

Answer:

  35

Step-by-step explanation:

Let x represent the HCF of the ages. Then we can have ax = 10 represent Lena's age, and bx can represent her dad's age.

The LCM will be abx = 14x, so we have ab = 14.

Factors of 14 are 1·14 and 2·7. Since the ratio of ages is between 30/10 = 3 and 45/10 = 4.5, we must have b/a in that range. This will be the case for ...

  a=2, b=7

For a=2 and ax=10, we have x=5.

The dad's age is bx = 7·5 = 35.

Answer: 10,000 steps is 5 miles aka 2,000 feet

Step-by-step explanation:

Explanation: Linear equations can be written in the form y = mx + b where the multiplier, m, or the coefficient of the x term represents the slope of the line and the b is your constant term which represents the y-intercept of the line

This linear equation has a slope equal to -4 since it's

the coefficient of the number in front of your variable.

This equation has a y-intercept that is equal to 6 since it's

in the place of the b in the equation y = mx + b.

Answer:

Area=LW=(60m)(40m)=2400 m^2

Step-by-step explanation:

The area of the rectangular pen is 2400 square meters.

The region that a rectangle occupies in a two-dimensional space is referred to as the area of a rectangle. The quantity of square units required to entirely fill a rectangle is another way to describe its area. The whole distance encircling a rectangle's outside is referred to as its perimeter.

Given, A rectangular animal pen will be built using 200 meters of fencing. If one side of the fence is 60 meters. Hence,

Parameter of rectangle = 200

2(length + width ) = 200

given length of the pen is 60 meters

2(60 + width) = 200

width = 100- 60 = 40

Area of the rectangle = length * width = 60* 40 = 2400

Therefore, 2400 square meters will be the area of the given rectangular pen.

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Answer:

Width: 8cm Length: 7cm

Step-by-step explanation:

Answer:

Length = 7cm, width = 8cm

Step-by-step explanation:

Divide 32 and 28 by 4

Answer:28.26

Step-by-step explanation:

Φ=180 since it's in a straight line

Radius=r=9

π=3.14

Length of arc=Φ/360 x 2 x π x r

Length of arc=180/360 x 2 x 3.14 x 9

Length of arc=0.5 x 2 x 3.14 x 9

Length of arc=28.26

Answer:

a) z = 2.327

b) The margin of error is of 0.065.

c) The 98% confidence interval for the true population proportion of all New York State union members who favor the Republican candidate is (0.3083, 0.4383).

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].

For this problem, we have that:

[tex]n = 300, \pi = \frac{112}{300} = 0.3733[/tex]

a) 98% confidence level

So [tex]\alpha = 0.02[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.02}{2} = 0.99[/tex], so [tex]z = 2.327[/tex] is the critical value.

b)

The margin of error is:

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

So, applying to this question:

[tex]M = 2.327\sqrt{\frac{0.3733(1-0.3733)}{300}} = 0.065[/tex]

The margin of error is of 0.065.

c) Find confidence interval for the problem.

[tex]\pi - M = 0.3733 - 0.065 = 0.3083[/tex]

[tex]\pi + M = 0.3733 + 0.065 = 0.4383[/tex]

The 98% confidence interval for the true population proportion of all New York State union members who favor the Republican candidate is (0.3083, 0.4383).

Answer:

12 inches

Step-by-step explanation:

1/3 of 3 feet = 1 foot

12 inches make 1 foot

so the answer is 12

The number of inches in 1/3 of 3 feet will be 12 inches.

It is the measure of distance between the two points and is known as length. The length is measured in meters generally.

Unit modification is the process of converting the measurement of a given amount between various units, often by multiplicative constants that alter the value of the calculated quantity without altering its impacts.

1/3 of 3 feet

Then the number of feet is given as,

⇒ (1/3) x 3

⇒ 1 foot

We know that in 1 foot, there are 12 inches. Then we have

⇒ 1 x 12 inches

⇒ 12 inches

The number of inches in 1/3 of 3 feet will be 12 inches.

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Answer:

  20

Step-by-step explanation:

The sum of the ages of the first 12 is ...

  12×18 = 216

The sum of the ages of the remaining 8 is ...

  8×23 = 184

So, the sum of ages of all 20 people is ...

  216 +184 = 400

and their average age is ...

  400/20 = 20

The mean age of the members of the group is 20.

_____

The mean of a data set is the total of the values, divided by the number of values.

Answer:

a=90-67=23°

.................

Answer:

x=1

Step-by-step explanation:

4x-4=0

4x=4

Therefore, x=1

Describe using the word x. It simply means to translate the amount you've discovered into the variable x.

Given

h(x)=4x-4

once h(x) = 0

0 = 4x-4

4x = 4

x =4/4

x = 1

The phrase "f (x)" denotes a formula with x serving as its input variable.

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Answer:

12, 13, 14, 15, 16

Step-by-step explanation:

Let the five consecutive integers be (x - 2), (x - 1), x, (x + 1) & (x + 2)

According to the given condition:

[tex](x - 2) + (x - 1) + x + (x + 1) + (x + 2) = 70 \\ 5x = 70 \\ x = \frac{70}{5} \\ x = 14 \\ \implies \\ (x - 2) = (14 - 2) = 12 \\ (x - 1) = (14 - 1) = 13 \\ x = 14 \\ (x + 1) = (14 + 1) = 15 \\ (x + 2) = (14 + 2) = 16\\ [/tex]

Answer:I think it’s 269 because when you do 1,350 divided by 50 it’s 27 then you add 9+2 to get 11/50 then you do 27x11 which gives you 270 and the closest answer to that is 269

Step-by-step explanation:

Answer:

About 296 households have more than three children.

Step-by-step explanation:

I got it right on edge

Answer:

The unknown angle = 126°

Step-by-step explanation:

From angles in a triangle.

The total sum of angles in a triangle = 180°

Let the unknown angle be x

27 + 27 + x = 180

X = 180-27-27

X= 180-54

X = 126°

Answer: 81°

Step-by-step explanation:

m<p is a secant exterior angle which equals arcAB-arcDC divided by 2.

plug the numbers in and arcAB-27 / 2 =54 Arc AB is 27+54=81 degrees

Answer:

m=4

Step-by-step explanation:

First get the equation in slope intercept form

y -4x =1

Add 4x to each side

y - 4x+4x = 4x+1

y = 4x+1

This is in the form

y = mx+b where m is the slope and b is the y intercept

The slope is 4

Parallel lines have the same slope

m =4

Answer:

46.1

Step-by-step explanation:

Mark BRAINLIEST

Answer:

Hello! The correct answer is 2.95 [tex]ft^{2}[/tex]

Answer:

Step-by-step explanation:

Find a-score of both

z-score = (x-mean)/SD

for 120

z =( 120- 180)/34 = -1.765

For 155

z = (155-180)/34 = -0.735

The probability to look for using z-score table is;

P(-1.765<z<-0.735) = 0.19239

Answer:

5x - 17

Step-by-step explanation:

3 + 5x - 20

= 5x - 17