Part b
what is the area of the target that earns at least 30 points on a throw?

select the correct from the drop-down menu.

the area is ____ square inches.
a) 16
b) 49
c) 121
d) 144

Reason:

Rewrite the given equation into [tex](x-6)^2 + (y-(-5))^2 = 5^2[/tex]

I changed the y+5 into y-(-5), and also replaced 25 with [tex]5^2[/tex]

Then compare that to the circle template of [tex](x-h)^2 + (y-k)^2 = r^2[/tex]

We see that h = 6 and k = -5 to give a center of (h,k) = (6, -5)

Side note: the radius is r = 5 units

Answer:

see explanation

Step-by-step explanation:

the equation of a circle in standard form is

(x - h)² + (y - k )² = r²

where (h, k ) are the coordinates of the centre and r is the radius

given

x² + y² - 8x + 8y + 23 = 0

collect the x and y terms together and subtract 23 from both sides

x² - 8x + y² + 8y = - 23

using the method of completing the square

add ( half the coefficient of the x / y terms )² to both sides

x² + 2(- 4)x + 16 + y² + 2(4)y + 16 = - 23 + 16 + 16

(x - 4)² + (y + 4)² = 9 ← in standard form

with centre = (4, - 4 ) and r = [tex]\sqrt{9}[/tex] = 3

this is shown in graph b

Answer:

yes it is

Step-by-step explanation:

It is a rational number, as it can be written as a fraction.

Answer:

multiply the probability of the first event by the second.

Step-by-step explanation:

Use the specific multiplication rule formula. Just multiply the probability of the first event by the second. For example, if the probability of event A is 2/9 and the probability of event B is 3/9 then the probability of both events happening at the same time is (2/9)*(3/9) = 6/81 = 2/27.

Answer:

[tex]\frac{1}{26} * \frac{1}{26} = \frac{1}{676} = .00148.[/tex]

Step-by-step explanation:

Multiply the probability of P by the probability of Q.

In which the probability of P is equal to [tex]\frac{R}{Total NumberOf LettersInAlphabet} = \frac{1}{26}[/tex]

In which the probability of Q is equal to [tex]\frac{P}{Total NumberOf LettersInAlphabet} = \frac{1}{26}[/tex]

There's a 1 in 676 chance that you'd randomly pick R, put the tile back in, and then pick P in a sack of 26 letters of the latin alphabet.

The break-even sales price per umbrella if sun cover manufactures the units is $120.99.

This can be done by using the formula:

Break even units = Total fixed cost / (Price - Variable cost)

8573 = 675921/(Price - 42.15)

8573(P - 42.15) = 675921

8573P - 361351.95 = 675921

8573P = 675921 + 361351.95

8573P = 1037273.4

P = 1037273.4/8574

P = $120.99

Therefore, the price is $120.99.

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Answer:

a) 13

b) 1/3

c) -2

d) 1

Step-by-step explanation:

This is quite simple if you look at it from a different perspective. Imagine that when it says "f(2)" That you are plugging the number 2 in for every x on the right side of the equation:

For example:

f(x) = 3x + 7

f(2) = 3(2) + 7

f(2) = 6 + 7

f(2) = 13

________

f(-3) = 3x + 7

f(-3) = 3(-3) + 7

f(-3) = -9 + 7

f(-3) = 7 - 9 (This is just for those that hate negative values. You can rearrange the values as long as their sign is the same when you do move them. Ex: -14 + 6 - 4 + 9 == 9 + 6 - 14 - 4. I hope that makes sense.

f(-3) = -2

The other way is quite simple as well, if you look at it from a different perspective. Imagine that when it says "f(x) = 8" that you are changing the f(x) to the number 8:

For example:

f(x) = 8

f(x) = 3x + 7

8 = 3x + 7

8 - 7 = 3x

1 = 3x

x = 1/3

f(x)= 10

f(x) = 3x + 7

10 = 3x + 7

10 - 7 = 3x

3 = 3x

3/3 = x

1 = x

I hope this helps!

The number of students who come to school through other modes o transportation is 1,165.

The number of students who come to school through other modes o transportation can be calculated as follows:

A = Number of girls that uses other modes o transportation = (100% - 40%) * 950 = 570

B = Number of boys that uses other modes o transportation = (100% - 30%) * (1800 - 950) = 595

C = Total number of studens that uses other modes o transportation = A + B = 570 + 595 = 1,165

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Answer:

If I am not mistaking it should be -7.5

Step-by-step explanation:

Answer:

  b = -15/2

  y = -3x -15/2

Step-by-step explanation:

The value of the y-intercept can be found from a point and the slope of the line by solving the slope-intercept equation for the intercept.

__

  y = mx + b . . . . . . . equation of a line with slope m and y-intercept b

  y -mx = b . . . . . . . . subtract mx from both sides

For the point (x, y) = (-2, -3/2) and slope m = -3, the value of b is ...

  b = -3/2 -(-3)(-2) = -3/2 -6

  b = -15/2 . . . . . the value of b for this line

__

Then the equation for the line is ...

  y = mx +b

  y = -3x -15/2

Answer: See the attached images below.

The steps and explanations are on those screenshots, so there's not much for me to mention right here on this main page. The decimal results are approximate to 6 decimal places. Make sure your calculator is in degree mode.

Answer:

-22

Step-by-step explanation:

each mark decreases by three, two marks down from 16 would be 16+3+3; which equals 22, and it has to be negative

hope this helped!

[tex]\sf Sine \ Rue : \ \dfrac{\sin A}{a}=\dfrac{\sin B}{b}=\dfrac{\sin C}{c}[/tex]

Given following:

Solve for b (distance between school and mall):

[tex]\dashrightarrow \sf \dfrac{\sin 56}{38} = \dfrac{\sin 77}{b}[/tex]

[tex]\dashrightarrow \sf b= \dfrac{38\sin 77}{\sin 56}[/tex]

[tex]\dashrightarrow \sf b= 44.6615 \quad \approx \quad 45[/tex]

The factor of the polynomial function f(x) graphed on the coordinate plane below is x - 1 , Option B is the right answer.

A function in which there is only positive exponents to the variables are called polynomial function.

The missing image is attached with the answer.

It is given in the question

on a coordinate plane, a parabola opens up. it goes through (0, 3), has a vertex at (3.5, 3), and goes through (6, 0)

The zeroes of the polynomial function are the points at which the curve will cut x axis

For the given graph,

the curve cuts the x-axis at x = 1 and x = 6

the  factors will be x - 1 and x - 6

Therefore, a factor of the polynomial function f(x) graphed on the coordinate plane below is x - 1 , Option B is the right answer.

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Answer:

B

Step-by-step explanation:

B

Answer:

The first choice

Step-by-step explanation:

7/8 x + 3/4 = -6

6 (x/8) + 3/4 = -6

Answer:

A.

Step-by-step explanation:

Wren is at the grocery store buying fruit. She buys x pounds of apples for $1.68 per pound. She buys 2 fewer pounds of grapes for $2.48 per pound. The cost of the fruit, before tax, is $13.76. How many pounds of each fruit is she buying?

A.

2.8 pounds of apples and 4.8 pounds of grapes

B.

3.3 pounds of apples and 1.3 pounds of grapes

C.

3.8 pounds of apples and 1.8 pounds of grapes

D.

4.5 pounds of apples and 2.5 pounds of grapes

Answer:

8 minutes

Step-by-step explanation:

Jill jogs 3/4 of a mile in 1/10 hour.

⇒ 3/4 of a mile takes 6 minutes

For one mile :

1 mile she can run

8 mins

The closest among the choices is Choice C. $105.  Differences in amount may vary in the rounding off of the decimal numbers.

The complete question is given below as:-

Marcia has two credit cards and would like to consolidate the two balances into one balance on the card with the lower interest rate. The table below shows the information about the two credit cards Marcia currently uses.

Card A

Card B

Amount

$1,879.58

$861.00

APR

14%

10%

Monthly Payment

$43.73

$18.29

After 5 years, how much will Marcia have saved in interest by consolidating the two balances?

a.

$1,526.40

b.

$2,422.80

c.

$105.00

d.

$227.40

The amount received by an employee by giving the service or work to any frim will be termed as the income.

Given:

Card A - 1,879.58 ; APR 14%; monthly -43.73

Card B -    861.00 ; APR 10% ; monthly -18.29

5 years x 12 months/yr = 60 months.

Card A = 43.73 x 60 = 2,623.80

Card B = 18.29 x 60 = 1,097.40

Total : 2,623.80 + 1,097.40 = 3,721.20

Lowest APR is 10%. monthly rate: 0.83%

Total Card balance: 1,879.58 + 861 = 2,740.58

A = P * (r(1+r)^n) / [(1+r)^n -1]

A = 2,740.58 * [0.0083 (1.0083)^60] / [(1.0083)^60 - 1]

A = 2,740.58 * 0.014/0.64

A = 2,740.58 * 0.022

A = 60.29 monthly payment.

60.29 x 60 = 3,617.40

Separate cards: 3,721.20

Consolidated:     3,617.40

Difference: 103.80

Therefore closest among the choices is Choice C. $105.  Differences in amount may vary in the rounding off of the decimal numbers.

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The range of the exponential function will be y ≥ 250,0003. Then the correct option is B.

The domain means all the possible values of x and the range means all the possible values of y.

The Population Of Center City Is Modeled By Exponential Function F, Where X Is The Number Of Years After The Year 2015.

The graph is given below.

We know that the exponential function is given as

y = abˣ

For x = 0, y will be 250,000

250,000 = a

For x = 40, y will be 400,000

400,000 = 250,000b⁴⁰

           b = 1.0118

Then we have

y = 250,000 (1.0118)ˣ

Then the range of the exponential function will be y ≥ 250,0003.

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This  is an equilateral triangle, therefore, all the angles  are 60 degrees.

3 times  60 is  180.

180 is the answer

The number of ways for the jobs to be ordered in the queue so that job A is the first to finish or the last to finish is; 2 * 9!

We are told that;

There is a set of 10 jobs in the printer queue.

One of the jobs is job A. Thus, there are 9 other identified jobs.

Number of ways to order this nine jobs = 9!

Since the job A has to be ordered first or last, then;

Number of ways to order job A = 2 ways.

Thus;

Total number of ways to order the jobs in the given order = 2 * 9!

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In 15 years, the average car releases 458.7 kilograms of nox.

We know that the average vehicle releases 1.39 grams per mile driven.

And, in average, that car drives 22,000 miles per year.

So in a year, a car releases:

M = (22,000)*1.39 g  = 30,580 g = 30.58 kg

In one year, the average car releases around 30.58 kilograms of nox.

Then in 15 years, the car releases 15 times that amount, then we have the product:

T = 15*30.58 kg = 458.7 kg

In 15 years, the average car releases 458.7 kilograms of nox.

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Answer:

x = 14

Step-by-step explanation:

given f(x) = 2(3x - 5) and f(x) = 74 , then equating gives

2(3x - 5) = 74 ( divide both sides by 2 )

3x - 5 = 37 ( add 5 to both sides )

3x = 42 ( divide both sides by 3 )

x = 14

For the function y = |x| + 2, it shows a vertical translation of the parent function up by 2 units.

The parent function for the graph of the modulus is given as g(x) = |x|

For the function y = |x| + 2, it shows a vertical translation of the parent function up by 2 units.

For the graph, there will be s shift down the graph by 2 units from the graph of the parent function as shown;

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The number 8700 written in scientific notation is 8.7 * 10^3

The number is given as:

Number = 8700

The scientific notation is represented as:

a * 10^b

Where a is between 1 and 10 and b is an integer representing the number of zeros

So, we have:

8700 = 87 * 10^2

Express 87 as 8.7 * 10

8700 = 8.7 * 10* 10^2

Evaluate

8700 = 8.7 * 10^3

Hence, the number 8700 written in scientific notation is 8.7 * 10^3

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Answer:

B

Step-by-step explanation:

To rotate triangle ABC about the origin 90° clockwise we would follow the rule (x,y) → (y,-x), where the y-value of the original point becomes the new x-value and the x-value of the original point becomes the new y-value with the opposite sign.

Step-by-step explanation:

(2x + 3)(2x + 3)

4x² + 6x + 6x + 9

4x² + 12x + 9

Answer:

(1, 0 ) and (0, - 8 )

Step-by-step explanation:

8x - y = 8 → (1)

8x² - y = 8 → (2)

since both equations are equal to 8 then equate the left sides

8x² - y = 8x - y ( subtract 8x - y from both sides )

8x² - 8x = 0 ← factor out 8x from each term

8x(x - 1) = 0

equate each factor to zero and solve for x

8x = 0 ⇒ x = 0

x - 1 = 0 ⇒ x = 1

substitute these values into (1) and solve for y

x = 0 : 8(0) - y = 8 ⇒ y = - 8 ⇒  (0, - 8 )

x = 1 : 8(1) - y = 8 ⇒ y = 0 ⇒ (1, 0 )

Answer:

y = 108

Step-by-step explanation:

2x + 16 = 3x -12 (as you can see the F shape and are on straight lines and AB is parallel to CD) .

Now we solve for x :

Subtract 2x from both sides :

16 = x - 12

Now we add 12 to both sides :

28 = x

Angle 3x-12 and y add up to 180 as they are on a straight line :

3x-12 + y = 180

Substitute x and solve for y :

3(28) - 12 + y = 180

84 - 12 + y = 180

72 + y = 180

y = 108  

Hope this helped and have a good day