**Answer:**

Hello! I'm sorry I couldn't get to your question sooner. I just completed this quiz!

The equation of the circle that represents the dartboard is **(x-10)^2 + (y-17/3)^2 = 9/16**, where the origin is the lower-left corner of the room and the unit of the radius is **feet.**

The position of Sasha's dart is represented by the coordinates **(10.25,5)**. Sash's dart **does** land on the dartboard.

This quiz was completed on k12, lesson 3.03.

The question is an illustration of **equation of circles.**

From the question, we understand that:

[tex]\mathbf{h = 5\ ft\ 8\ in }[/tex] ---- the **height **at which the **dartboard **was hung

[tex]\mathbf{d = 18\i n }[/tex] ---- the **diameter **of the **dartboard**

[tex]\mathbf{B = 10ft}[/tex] --- the **bull's eye**

[tex]\mathbf{D = (10.25ft, 5ft)}[/tex] --- Sasha's **dart**

Equation of the circle

First, we **convert **all **units** to **feet**

This is done by dividing **inches units** by 12

[tex]\mathbf{h = 5\ ft\ 8\ in }[/tex]

[tex]\mathbf{h = 5\ ft\ + \frac{8}{12}\ ft }[/tex]

[tex]\mathbf{h = 5\ ft\ + \frac{2}{3}\ ft }[/tex]

Take LCM

[tex]\mathbf{h = \frac{15 + 2}{3}\ ft }[/tex]

[tex]\mathbf{h = \frac{17}{3}\ ft }[/tex]

[tex]\mathbf{d = 18\i n }[/tex]

[tex]\mathbf{d = \frac{18}{12}ft}[/tex]

[tex]\mathbf{d = \frac{3}{2}ft}[/tex]

Divide by 2 to calculate **radius**

[tex]\mathbf{r = \frac{3}{2*2}ft}[/tex]

[tex]\mathbf{r = \frac{3}{4}ft}[/tex]

The **equation **of the **circle **is represented as:

[tex]\mathbf{(x - a)^2 + (y - b)^2 = r^2}[/tex]

In this case:

[tex]\mathbf{a = B = 10ft}[/tex]* -- the distance between the bull's eye and the wall*

[tex]\mathbf{b = h = \frac{17}{3}\ ft }[/tex]* ---- the height at which the dartboard was hung*

So, we have:

[tex]\mathbf{(x - a)^2 + (y - b)^2 = r^2}[/tex]

[tex]\mathbf{(x - 10)^2 + (y - \frac{17}3)^2 = (\frac 34)^2}[/tex]

Evaluate the exponents

[tex]\mathbf{(x - 10)^2 + (y - \frac{17}3)^2 = \frac 9{16}}[/tex]

Hence, the **equation **of the **circle **is: [tex]\mathbf{(x - 10)^2 + (y - \frac{17}3)^2 = \frac 9{16}}[/tex]

Does Sasha’s dart land on the dartboard?

Yes her **dart lands **on the **dartboard **because

[tex]\mathbf{D = (10.25ft, 5ft)}[/tex] is within the **circumference **of the **dartboard**

Read more about **equation of circles** at:

https://brainly.com/question/23988015

Last year, 50 students attended the winter carnival. This year, 60 students attended the carnival. Which statement below correctly describes the percent

change from last year to this year?

A

An increase of 10%

B

A decrease of 10%

С

An increase of 20%

D

A decrease of 20%

**Answer:**

C. An increase of 20%

**Step-by-step explanation:**

50/100 = 60/x

Cross products

50 x = 6000

Divide 50 by both sides

x = 120

60 is 120% of 50, so there is a 20% increase

Hope this helps!

-Jerc

Suppose that Haley encounter two traffic lights on her commute to GGC campus. Based on

her past experience, she judge that the probability is 0.35 that the first light will be red when she gets to it,

0.45 that the second light will be red, and 0.20 that both lights will be red. Let R1 denote the event that the

first light is red, and let R2 denote the event that the second light is red.

a) Determine the probability that at least one light will be red. (Show how you calculate this.)

b) Determine the conditional probability that the second light will be red given that the first light is

red. (Show how you calculate this.)

c) Are the events R1 and R2 independent? Justify your answer numerically.

d) Are the events R1 and R2 disjoint (mutually exclusive)? Justify your answer numerically.

**Answer:**

Explained below.

**Step-by-step explanation:**

The information provided is,

P (R₁) = 0.35

P (R₂) = 0.45

P (R₁ ∩ R₂) = 0.20

(**a**)

Compute the probability that at least one light will be red as follows:

P (at least one light will be red) = P (R₁ ∪ R₂)

= P (R₁) + P (R₂) - P (R₁ ∩ R₂)

= 0.35 + 0.45 - 0.20

= 0.60

Thus, the probability that at least one light will be red is **0.60**.

(**b**)

Compute the conditional probability that the second light will be red given that the first light is red as follows:

[tex]P(R_{2}|R_{1})=\frac{P(R_{1}\cap R_{2})}{P(R_{1})}[/tex]

[tex]=\frac{0.20}{0.35}\\\\=0.571428\\\\\approx 0.57[/tex]

Thus, the conditional probability that the second light will be red given that the first light is red is **0.57**.

(**c**)

If two events, say A and B are independent then:

P (A|B) = P (A).

The value of P (R₂ | R₁) = 0.57.

And the value of P (R₂) = 0.45

P (R₂ | R₁) ≠ P (R₂)

Thus, the events R₁ and R₂ are **not independent**.

(**d**)

If two events, say A and B are mutually exclusive then:

P (A ∩ B) = 0

The value of P (R₁ ∩ R₂) = 0.20.

Thus, the events R₁ and R₂ are **not mutually exclusive**.

People living in a society where one person rules by force have which type of government?

**Answer:**

An autocracy is a government structure in which the ultimate political authority is concentrated in one person's hands.

Hope this helps please give me brainliest!

God bless!

An autocracy.

An autocracy is a system of government in which a supreme political power is concentrated in the hands of one person.

Identify next 3 numbers in this sequence 2,6,3,9,6,18,15

i know that so far it goes +4, -3, +6, -3, +12, -3, ? i’m not really sure but it COULD be 19, 16, 22?

Analyzing a Linear Function Expressed in Different Ways Choose the true statements. A linear function is expressed by a graph of a line that crosses both axes at the origin. An equation is written in slope-intercept form to express the same function as shown in the graph. From just this information, what statements can be made? A) The slope of the equation must be positive. B)The y-intercept of the equation is zero. C) It is possible that the line on the graph is horizontal. D) The slope of the equation must be negative.

**Answer: The answer is option B and option C.**

**Answer:**

B and C

**Step-by-step explanation:**

Help me out please I need help

it would be 7ounces/minute

you just need to figure out what the difference of an hour and a minute is. an hour=60 minutes so you would want to divide 420 by 60 to get your answer

you just need to figure out what the difference of an hour and a minute is. an hour=60 minutes so you would want to divide 420 by 60 to get your answer

420/60=7 so seven ounces per min.

A young reptile is 0.6 foot long. An adult reptile is 19.5 times as long. How many feet longer is the adult reptile than the young reptile?

0.6ft x 19.5 = 11.7 ft

11.7ft-0.6ft = 11.1 ft

answer is 11.1 ft longer

11.7ft-0.6ft = 11.1 ft

answer is 11.1 ft longer

**PLEASE HELP THIS IS DUE TODAY** when the sun's declination is at the highest point, what direction does the sun rise and set?

june 22 the declination reaches a maximum of 24.45° on june 22 summer solstice in the northern hemisphere and a minimum of -23.45 on december 21-22 winter solstice in the northern hemisphere. the sun, the moon, the planets and the stars all rise in the east and set in the west. and that’s because earth spins towards the east

what does they y represent in the equation y=mx+b

**Answer:**

The y-intercept of this line is the value of y at the point where the line crosses the y axis.

**Step-by-step explanation:**

The equation of any straight line, called a linear equation, can be written as: y = mx + b, where m is the slope of the line and b is the y-intercept.

Please help ASAP! All questions.

**Answer:**

I think i don't really know its been awhile for me.

**Step-by-step explanation:**

But i think you do 2 x 10 and what ever you get from that you multiply by 5 and what get from that you divide by 24.

I may not be right.

So please don't hate i tried.

Shen is on the swim team. Each week he swims a total of 5000 meters. How many kilometers does he swim each week?

Be sure to include the correct unit in your answer.

**Answer:**

5 km

**Step-by-step explanation:**

to convert m to km you have to divide by 1000.

5000/1000=5

hope this helps!

By the end of Tina’s bike ride, she traveled a distance of 40 kilometers. How many miles did Tina ride? (1 mile ≈ 1.6 kilometers)

help plz brainless you help me

**Answer:**

24.85 or rounded to 24.9

**Step-by-step explanation:**

Conversion

K H D____D C M

The **number** of **miles** did Tina **ride** when (1 mile ≈ 1.6 kilometers) so it should be considered as the** 25 miles. **

Since

By the end of **Tina’s bike ride**, she traveled a **distance** of 40 kilometers.

And we know that

1 mile ≈ 1.6 kilometers

So,

[tex]= 40 \div 1.6[/tex]

= 25 miles

hence, The **number** of **miles** did Tina **ride** when (1 mile ≈ 1.6 kilometers) so it should be considered as the** 25 miles. **

Learn more about **miles** here: https://brainly.com/question/13208356

What does it mean to divide a number by

a fraction (e.g., ¾)?

**Answer: You can divide a number by a fraction by flipping over the fraction and multiplying them together. **

**Step-by-step explanation: **

**For example:**

**Lets say we wanted to divide 8 by 3/4**

8÷[tex]\frac{3}{4}[/tex]

**Change the division symbol into multiplication, and flip over the fraction (a great way to remember doing this is to remember the phrase ****Copy Dot Flip ****- Copy the first digit as it is, put a dot for multiplication, and then flip the fraction over)**

8 ·[tex]\frac{4}{3}[/tex]

**Now, just multiply and reduce/simplify the fraction if needed**

**Final answer is **[tex]\frac{32}{3}[/tex]**, no need to simplify or reduce**

**Hope that helps!!**

Select all the expressions that are rational numbers.

a. 3.14159…

b. –9.1234567123…

c. –9.293847210103938…

d. 227

e. –26

**Answer:**

d,e

**Step-by-step explanation:**

rational numbers are positive and negative whole numbers.

**Answer:**

d,e

**Step-by-step explanation:**

20x+x-2=4 rational equation

**Answer:**

x = 2/7

**Step-by-step explanation:**

Step 1: Write equation

20x + x - 2 = 4

Step 2: Solve for *x*

Step 3: Check

*Plug in x to verify it's a solution.*

20(2/7) + 2/7 - 2 = 4

40/7 + 2/7 - 2 = 4

42/7 - 2 = 4

6 - 2 = 4

4 = 4

**Answer:**

x = 2/7

**Step-by-step explanation:**

Collect like terms:

20x + x = 21x ----> 21x - 2= 4

Move the constant to the right hand side and change the sign of the constant:

21x = 4 + 2

Calculate:

21x = 4 + 2 ---> 21x = 6

Divide both sides by 21:

21/21 and 6/21 = 2/7

Solution:

x = 2/7 or x= 0.285714

Ritika bought 5 meters of cloth from the market. She cut off 2 3/4 meters and gave it to Aditi. What length of cloth is left with her?

**Answer:**

I think its 3/2

hope it will help you

4 Rosie has 150 caramel

apples to sell. Each caramel apple is covered with one topping.

of the caramel apples are covered with peanuts.

are covered with chocolate chips.

• The rest are covered with sprinkles.

How many caramel apples are covered with sprinkles?

F

50

G 80

H 70

J 30

7.3B

**Answer:**

I'd say 50

**Step-by-step explanation:**

I just divided 150 by 3 since I only saw 3 toppings.

Write the product using exponents.

(-4).(-4).(-4).y.y

The product would be -64y^2

**Answer:**

(-4)^3 * y^2

**Step-by-step explanation:**

hope it helps.

you just purchased new tennis shoes for basketball for $99 the cost for washing will be $2.00. you will wear them 110 times between basketball practice and games. what is the cost per wearing?

**Answer:**

**Step-by-step explanation:**

espera y termino y te ayudo vale que me falta poco vale

Please Assist!

What is the answer to this question???

**Answer:**

[tex](3.5,0.5)[/tex]

**Step-by-step explanation:**

Midpoint Formula: [tex](\frac{x_1+x_2}{2},\frac{y_1+y_2}{2} )[/tex]

Simply plug in your coordinates into the midpoint formula to find midpoint:

P(5, -3)

Q(2, 4)

[tex](\frac{5+2}{2},\frac{-3+4}{2} )[/tex]

[tex](\frac{7}{2},\frac{1}{2} )[/tex]

[tex](3.5,0.5)[/tex]

At 7:00 one Summer morning Harry and Hermione hopped into their speedy more motorboat and left Hogwarts dock. They arrived at Dumbledore Wharf 35 minutes later. During the busy summer months a car ferry departs from Dumbledore wharf every five minutes. Tourists crowd onto the ferry for the 55 minute ride to Hogswarts dock. If Harry and Hermione followed the route that the car ferries take, how many car ferries did they see on their trip?

9514 1404 393

**Answer:**

19

**Step-by-step explanation:**

If we assume that the car ferries start at or before 6:05, and each 5 minutes thereafter, and if we count the ferries at the dock on either end, the total number seen is the number of ferries encountered in ...

55 +35 = 90 . . . minutes

That is, it is the number already in transit when they leave, plus the number that start while they are traveling.

That's 90/5 +1* = **19 ferries**.

_____

The attached diagram can give an idea. Each up-sloping line represents a ferry in-transit. The left side is Dumbledore Wharf; the right side is Hogwarts dock. Each horizontal unit represents the distance traveled by a ferry in 5 minutes. Each vertical unit represents a 5-minute interval.

The down-sloping line represents the motorboat travel. The dots at either end of the latter line represent car ferries that are at the dock, just arriving or just-departing. Altogether, there are 17 places where the lines cross, in addition to the boats at the docks.

__

* the +1 is because the number of points defining intervals is 1 more than the number of intervals.

Choose the best explanation that describes in words what the numerical value of the slope tells you.

a. Every increase in coral growth of one centimeter will result in an average of 5.25 fewer degrees Celsius of sea surface temperature per year.

b. Every increase in coral growth of one centimeter will result in an average of 5.25 more degrees Celsius of sea surface temperature per year.

c. Every increase in sea surface temperature of one degree Celsius will result in an average of 0.1578 more centimeters of coral growth per year.

d. Every increase in sea surface temperature of one degree Celsius will result in an average of 0.1578 fewer centimeters of coral growth per year.

Data for the question :

Sea surface temperature 26.7 26.6 26.6 26.5 26.3 26.1

Growth 0.85 0.85 0.79 0.86 0.89 0.92

Answer:

d. Every increase in sea surface temperature of one degree Celsius will result in an average of 0.1578 fewer centimeters of coral growth per year.

Step-by-step explanation:

Given the data :

Surface Temperature (X) : 26.7 26.6 26.6 26.5 26.3 26.1

Growth (Y) : 0.85 0.85 0.79 0.86 0.89 0.92

Using a regression calculator, we can find the model equation and extract the slope :

The regression equation obtained is :

y=5.039-0.1578x

From y = mx + c

Where m = gradient or slope

c = intercept

x and y are predictor and predicted variables respectively.

Hence, the gradient or slope (m) of the model = - 0.157. We have a negative slope, hence, increase in x will result una decrease in y.

The slope thus means: for every 1 degree increase in sea surface temperature (x), there is an average decline of about 0.1578 cm in growth per year.

f(x) = -x^2+10x-6

Find f(-5)

9514 1404 393

**Answer:**

f(-5) = -81

**Step-by-step explanation:**

Put -5 where x is and do the arithmetic.

f(-5) = -(-5)^2 +10(-5) -6

f(-5) = -25 -50 -6

** f(-5) = -81**

**Answer:**

-81

**Step-by-step explanation:**

Valerie runs track and field. At meets, Valerie lkes to buy protein bars, bananas and sports drinks Protein bars are $1. bananas are S0.50, and sports drinks are S2. Valerie has S10 to spend. She will spend no more than twice as much on sports drinks as bananas and at least three times as much on bananas as protein bars. Let represent the number of protein bars. represent the number of bananas. and represent the number of sports drinks that Valerie buys. Which statements are true regarding Valerie's situation? Select all that apply A: p + 0.5b + 2d < 10 B: 0.5d + b + 3p < 10. C: d < 2b. D: b > 3p. E: 2d < b. F: 3b > p

Complete Question

Valerie runs track and field. At meets, Valerie likes to buy protein bars, bananas, and sports drinks. Protein bars are $1, bananas are $0.50, and sports drinks are $2. Valerie has $10 to spend. She will spend no more than twice as much on sports drinks as bananas and at least three times as much on bananas as protein bars.

Let p represent the number of protein bars, b represent the number of bananas, and d represent the number of sports drinks that Valerie buys.

Which statements are true regarding Valerie's situation? Select all that apply A: p + 0.5b + 2d < 10 B: 0.5d + b + 3p < 10. C: d < 2b. D: b > 3p. E: 2d < b. F: 3b > p

Answer:

The statements that are true regarding Valerie's situation:

A: p + 0.5b + 2d < 10

C: d < 2b

D: b > 3p

Step-by-step explanation:

Lets represent

The number of protein bars as p.

The number of bananas as b.

The number of sports drinks that Valerie buys as d.

From the question:

We are told

Protein bars are $1

Bananas are $0.50

Sports drinks are $2.

She will spend no more than twice as much on sports drinks as bananas

d ≤ 2b = d < 2b

At least three times as much on bananas as protein bars.

b ≥ 3p = b > 3p

We are also told that:

Valerie has $10 to spend.

Hence:

$1 × p + $0.50 × b + $2 × d < $10

= p + 0.5b + 2d < 10

Therefore, the statements that are true regarding Valerie's situation:

A: p + 0.5b + 2d < 10

C: d < 2b

D: b > 3p

Find the value of x and measure of ∠3

∠3=2x+7

∠6=6x+21

**Answer:**

the answer is four

**Step-by-step explanation:**

AsKevin Selma madelyn Louis

very cool yes yes yes

Can someone plz plz help me with the last 2 problems #5 and #6

**i believe your answers would be **

1/2c+7 and 2H-9

I mark as brainliest

**Answer:**

32

**Step-by-step explanation:**

**Answer:**

32

**Step-by-step explanation:**

:)

A stack of books is 62 inches high. How high is it in feet and inches?

**Answer:**

5 feet and .16667 inches

**Step-by-step explanation:**

if you where to simplify the inches it would be 2 inches because the 6 next to the 1 is greater then five making the 1 a 2

The length of a rectangle is 10 meters more than the width. If 3 meters is added to both the length and the width, the new area will be 299 square meters. Find the length and width of the original rectangle.

HELP HELP HELP HELP

**Answer:**

L = 20

W = 10

**Step-by-step explanation:**

L = (w + 10)

NL = (w + 13)

Divide 299 by 13:

299 ÷ 13 = 23

So, 23 x 13 = 299

L = 23

W = 13

Subtract 3 from both to get the original length and width

analyze the paintings of paul cezanne HARTEQUIN what are the elements of art he using?
Jordan invested $97,000 in an account paying an interest rate of 1.6% compoundedmonthly. Assuming no deposits or withdrawals are made, how long would it take, tothe nearest year, for the value of the account to reach $109,700?
Select the correct locations on the image.Ancient Egyptians were highly dependent on agriculture. Based on this knowledge, mark the two locations on the map that would be highlysuitable for farming.SEAJerusalemMEDITERRANEANGazaRosettaAleuandriaBPeluNakrat,C's AvansOkatesMerinaHeliopolis6.220Sagara MEMPHISDurreanTimSinaiMeydungO seraaldimHerakleopolisLOWEREGYPTdenisaEastern
Piper and her children went into a movie theater and she bought $59.50bags of popcorn and candies. Each bag of popcorn costs $8.50 and each candy costs$4.25. She bought 8 more candies than bags of popcorn. Graphically solve a systemof equations in order to determine the number of bags of popcorn, x, and the numberof candies, y, that Piper bought.
Fill in the blanks below with the correct reciprocal pronouns:Alex and Martha say goodbye to ______ after school.The puppies playfully bit ________ on the nose.The mom and dad loved ________ very much.The children fought with _________on the playground.
Can cause severe mental disabilities if ingested in small quantities? Name the element that was commonly used in paints.
help plz ive been stuck on this for a while now
mental math again 60x40x2
Which line is steeper Line A or Line D? EXPLAIN. PLEASE HELP I WILL MARK BRAILIEST!!
Multiply 2.89x 23.2 =
The following summary transactions occurred during 2021 for Bluebonnet Bakers: Cash Received from: Collections from customers $490,000 Interest on notes receivable 11,500 Collection of notes receivable 54,000 Sale of investments 34,000 Issuance of notes payable 175,000 Cash Paid for: Purchase of inventory 235,000 Interest on notes payable 7,500 Purchase of equipment 90,000 Salaries to employees 95,000 Payment of notes payable 40,000 Dividends to shareholders 35,000 The balance of cash and cash equivalents at the beginning of 2021 was $26,000. Required: Prepare a statement of cash flows for 2021 for Bluebonnet Bakers. Use the direct method for reporting operating activities
scientists are studying a population of 20 bugs and tracking the population, y, as it grows over time, t, in weeks. If the population grows by at least 6.1% each week, which system of inequalities represents the scenario?
Make Sense and Persevere A submarinedescends to of its maximum depth. Then itdescends another of its maximum depth. If itis now at 650 feet below sea level, what is itsmaximum depth?
The length of a rectangle is given by 6t + 5 and its height is t, where t is time in seconds and the dimensions are in centimeters. Find the rate of change of the area with respect to time.A'(t) =???
what are the differences or simularities between the english and spanish
True or falseEach family represents the number of energy levels present in an atom of the element.
Taxonomists try to group organisms based on?A. SizeB. Evolutionary relationshipsC. Physical appearanceD. Ecological niche
the following equation has been solved incorrectly. Explain the students error
PLSS!!!! HELP!!! ME I WILL MARK U!!!!
Use the information from the balance sheet and income statement below to calculate the following ratios:a. Current Ratio b. Acid-test ratio c. Times interest earned d. Inventory turnover e. Total asset turnover f. Operating profit margin g. Days in receivables h. Operating return on assets i. Debt ratio j. Fixed asset turnover k. Return on equityBalance Sheet ASSETS Cash $100,000 Accounts receivable 30,000 Inventory 50,000 Prepaid expenses 10,000 Total current assets $190,000 Gross plant and equipment 401,000 Accumulated depreciation (66,000) Total assets $525,000 LIABILITIES AND OWNERS' EQUITY Accounts payable $90,000 Accrued liabilities 63,000 Total current liabilities $153,000 Long-term debt 120,000 Common stock 205,000 Retained earnings 47,000 Total liabilities and equity $525,000 Income Statement Sales* $210,000 Cost of goods sold (90,000) Gross profit $120,000 Selling, general, and administrative expenses (29,000) Depreciation expenses (26,000) Operating profits $65,000 Interest expense (8,000) Earnings before taxes $57,000 Taxes (11,970) Net income $45,030