ANSWER THE QUESTION FOR BRAINLIST !!

In 2010 , Cornfield Farms produced 175,000 bushels of corn . Each year since 2010, their total corn harvest has increased by 2.5 % over the previous year .

Write an exponential function , f(x), that models the number of bushels of corn produced X years after 2010

Enter your answer by filling in the boxes

f(x) = ______ • (_______) ^x

Answers

Answer 1

Answer:

[tex]f(x) = 175000*1.025^x[/tex]

Step-by-step explanation:

Exponential function has the form

[tex]f(x) = ab^x[/tex]

Where a- initial value, b- growth rate

Find the growth rate b

[tex]b = 1 + 2.5/100 = 1 + 0.025 = 1.025[/tex]

The function is

[tex]f(x) = 175000*1.025^x[/tex]
Answer 2

Answer:

[tex]y = 175000 \cdot {1.025}^{x} [/tex]

Step-by-step explanation:

recall exponential function:

[tex]y = a \cdot {b}^{x} [/tex]

where:

a is the initial valueb is the growthx is the independent variabley is the dependent variable

Finding the exponential function:

firstly,It says In 2010 , Cornfield Farms produced 175,000 bushels of corn. It simply refers that, The initial value is 175,000, therefore,

[tex]a \implies 175000[/tex]

secondly, It assers that Each year since 2010, their total corn harvest has increased by 2.5% over the previous year, thus

[tex] b \implies 1 + \frac{2.5}{100} = 1.025[/tex]

finally, just plug in the value of a and b into the function,

[tex]y = 175000 \cdot {1.025}^{x} [/tex]

and we're done!


Related Questions

Roman Civilization began in 509 B.C. and ended in 476 A.D. How long did Roman Civilization last?

Answers

Answer:

Add 509 and 476; The Roman Era lasted for a total of 985 years from 509 B.C to 476 A.D.

Step-by-step explanation:

So going by the figures of your question, add 509 and 476; The Roman Era lasted for a total of 985 years from 509 B.C to 476 A.D.

Your coach bought 12 hamburgers and 6 large fries for your team for
dinner. Each hamburger cost $1.75. He spend $30. Write and solve
an equation to determine the cost c of a large fry.

Answers

Answer:

$1.5

Step-by-step explanation:

12 x 1.75 + 6c = 30

21 + 6c = 30

6c = 30 - 21

6c = 9

c = 9/6

c = 1.5

Answer:

do face reveal

Step-by-step explanation:

we don't talk about bruno

pleaseeee check picture its about finding area of triangle.

Answers

Answer:

13.75 is your answer

Step-by-step explanation:

find area of whole triangle 5.5*7*1/2=19.25

Find area of blank spot 5.5*2*1/2=5.5

Subtract 19.25-5.5=13.75

The total cost of a pizza and 3 drinks is $19. The price of the pizza is $10 and each drink is the same price, d. What is the prive of the one drink?

Answers

Answer:

each of the drinks are $3

Step-by-step explanation:

10 d d d /19 d=3


hope it help

Answer:

$3

Step-by-step explanation:

pizza-p

drink-d

p+3d=19

p=$10

10+3 (d)=19

3 (d)=19-10

3 (d)=9

d=9÷3

d=$3

CAN SOMEBODY SOLVE THE PROBLEM IVE BEEN STUCK ON IT I WILL GIVE BRAINIEST


The diameter of a cylinder is 3 yd. The height is 12 yd.Find the volume of the cylinder.

Answers

Answer:

84.78cube.yd

Step-by-step explanation:

Volume of cylinder= πr^2h

3.14 × 1.5 × 1.5 × 1284.78 cube.yd

A real estate agent is working for a developer who claims that the average commute time to downtown is 20 minutes with a standard deviation of 7 minutes. Stephon is an independent real estate agent and wants to check the times for his client. He took a random sample of 15 commute times and found an average of 26 minutes. He did hypothesis testing using a significance level of 5%. Which conclusion could he make? The z-statistic is 0. 22, so the null hypothesis should not be rejected. The z-statistic is 1. 69, so the null hypothesis should not be rejected. The z-statistic is 3. 32, so the null hypothesis should be rejected. The z-statistic is 3. 67, so the null hypothesis should be rejected.

Answers

We conclude that z-score = 0.0005 which is less than 5%.

To calculate the z-statistic,

We must first calculate the standard error.

What is the formula for standard error?

Standard error is standard deviation divided by the square root of the population.

[tex]standard error=\frac{standard deviation }{\sqrt{population} }[/tex]

In this case, it is equal to 1.81.

The z-score is defined the distance from the sample to the population mean in units of standard error.

z = (26 – 20)/1.81 = 3.31

Therefore we conclude that  z-score = 0.0005 which is less than 5%.

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Find the area of the figure below. You may assume all sides are perpendicular.


Multiple answer choice

23

19

27

17

Answers

Answer:

I think the answers is 27, just add all of those squares.

40 + x + 25= 180
like i either get decimals for this or something that doesn’t at ALL equal 180, so confused.

Answers

[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]

Let's solve ~

[tex]\qquad \sf  \dashrightarrow \:40 + x + 25 = 180[/tex]

[tex]\qquad \sf  \dashrightarrow \:x + 65 = 180[/tex]

[tex]\qquad \sf  \dashrightarrow \:x = 180 - 65[/tex]

[tex]\qquad \sf  \dashrightarrow \:x = 115[/tex]

I hope you understood the procedure, please let me know if you have any doubts


[tex]solve \: the \: following \: problems \: below[/tex]
please answer it correctly I need It now
please none sense report ​

Answers

Answer:

1. Find the circumference, then multiply that by 120 turns.

Formula for circumference;

C = 2πr

But, we need to find the radius which is 1/2(half) of the diameter, so,

D/2 = R

D = Diameter

R = Radius

20/2 = 10 is the radius.

Plug in values now:-

C = 2(3.14) x 10

C = 6.28 x 10

C = 62.8 is the circumference, now we multiply this by 120 to get the total amount of centimetres it'll go.

62.8(120)

= 7,536 cm it'll go.

2. Find the circumference, then multiply that by 750 turns/revolutions.

C = 2πr

Find radius,

D/2 = R

50/2 = 25 is the radius.

Plug in values now:-

C = 2(3.14) x 25

C = 6.28 x 25

C = 157 cm it'll go.

3. Same thing, find circumference then compare values.

Given that radius is 10,

Use the formula for circumference;

C = 2πr

Replace values:-

C = 2(3.14) x 10

C = 6.28 x 10

C = 62.8 cm is the circumference of the first circle.

Now the second circle, (use same formula)

C = 2πr

Find radius,

D/2 = R

10/2 = 5 is the radius.

Replace values:-

C = 2(3.14) x 5

C = 6.28 x 5

C = 31.4 cm is the circumference for the second circle.

Now subtract the second circle's circumference from the first:

62.8 - 31.4

= 31.4, 31.4 cm is how much greater the second circle is than the first.

4 - 5. Find circumference, (using circumference formula)

C = 2πr

Find radius,

D/2 = R

760/2 = 380

Replace values:-

C = 2(3.14) x 380

C = 6.28 x 380

C = 2,386.4 km is the distance he'll travel.

If he wants to travel around it with 2,000 km, he'll need to travel at least once.

Real Numbers: Mastery Test

Answers

Answer:

exuse me but i dont see the questions

Step-by-step explanation:

Which of the following correctly measures the length (in cm) of the green box shown in the image below?

0.920 cm
0.92cm
0.9cm

Answers

Answer:

0.92 cm

Step-by-step explanation:

Do not pick 0.920 as it is the same as 0.92 but 0.92 is always the preferable option

The accurate measurement for the length of the green box is indeed 0.92 cm.

To measure the length of the green box accurately, we must carefully analyze the given image. By comparing the green box to the provided scale, we can deduce the correct measurement.

Upon examination, the green box appears to span almost the entirety of the "0.1 cm" scale division and extends slightly beyond it. Given that the box reaches around 9 divisions on the scale, it is reasonable to deduce that its length is 0.92 cm. This is because it's covering 9 divisions of 0.1 cm each, and considering the small extension.

Hence, the accurate measurement for the length of the green box is indeed 0.92 cm. This value takes into account its coverage of 0.9 cm (9 divisions) and a slight extension, aligning with the provided options.

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#SPJ3

Find the 51st term of the arithmetic sequence 29,9, -11, ...

Answers

Answer:

Step-by-step explanation:

29-9=20

9-(-11)=20

50×-20=-1000

-1000+29=-971

Jasmyn and Samantha go to the mall to go shopping. Jasmyn buys a new t-shirt that is $24.99 and Samantha buys a new pair of pants that are $48.99. If sales tax is 6%, how much will they have to pay total for the t-shirt and pants including tax?

The total cost of both items is $ ____

Answers

Answer:

78.42

Step-by-step explanation:

[tex]1.06(24.99 + 48.99)[/tex]

[tex]1.06 \times 73.98 = 78.42[/tex]

Consider the following initial-value problem. Y'' − 5y' = 8e4t − 4e−t, y(0) = 1, y'(0) = −1 find ℒ{f(t)}, for f(t) = 8e4t − 4e−t. (write your answer as a function of s. )

Answers

The Laplace transform of the non-homogeneous second order differential equation is [tex]\mathcal {L} \{f(t)\} = \frac{4\cdot (s+6)}{s\cdot (s-4)\cdot (s+1)\cdot (s-5)} +\frac{1}{s} -\frac{1}{s\cdot (s-5)}[/tex].

How to determine the Laplace transform of a non-homogeneous second order differential equation

A Laplace transform is a frequency-based algebraic substitution method used to determine the solutions of differential equations in a quick and efficient manner.

In this question we shall use the following Laplace transforms:

[tex]\mathcal {L} \{f(t) + g(t)\} = \mathcal {L} \{f(t)\} + \mathcal {L}\{g(t)\}[/tex]   (1)

[tex]\mathcal {L} \{\alpha\cdot f(t)\} = \alpha\cdot \mathcal {L} \{f(t)\}[/tex]   (2)

[tex]\mathcal{L} \left\{y^{(n)} \right\} = s^{n}\cdot \matcal {L}\{f(t)\}-s^{n-1}\cdot y(0) -...-y^{(n)}(0)[/tex]   (3)

[tex]\mathcal {L} \{e^{-a\cdot t}\} = \frac{1}{s+a}[/tex]   (4)

Now we proceed to derive an expression fo the Laplace transform of the solution of the differential equation:

[tex]y'' -5\cdot y' = 8\cdot e^{4\cdot t}-4\cdot e^{-t}[/tex]

[tex]s^{2}\cdot \mathcal {L}\{f(t)\}-5\cdot y(0) - y'(0) - 5\cdot s \cdot \mathcal {L} \{f(t)\} +5\cdot y(0) = \frac{8}{s-4}-\frac{4}{s+1}[/tex]

[tex]\mathcal {L} \{f(t)\} = \frac{4\cdot (s+6)}{s\cdot (s-4)\cdot (s+1)\cdot (s-5)} +\frac{1}{s} -\frac{1}{s\cdot (s-5)}[/tex]

The Laplace transform of the non-homogeneous second order differential equation is [tex]\mathcal {L} \{f(t)\} = \frac{4\cdot (s+6)}{s\cdot (s-4)\cdot (s+1)\cdot (s-5)} +\frac{1}{s} -\frac{1}{s\cdot (s-5)}[/tex]. [tex]\blacksquare[/tex]

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The Laplace transform Y'' − 5y' = 8e4t − 4e−t when y(0) = 1, y'(0) = −1 for f(t) = 8e4t − 4e−t would be  [tex]\frac{4(s+6)}{s.(s-4)(s+1).(s-5)} + \frac{1}{s} - \frac{1}{s.(s-5)}[/tex].

What is Laplace transform?

A Laplace transform is a frequency-based algebraic substitution method used to determine the solutions of differential equations quickly and efficiently.

The Laplace transform

L[ f(t) + g(t) ] = Lf(t) + Lg(t)

Also,

L [[tex]y^{n}[/tex]] = [tex]s^{n} . L[ f(t) ] - s^{n-1} .y(0) .....y^{n}(0)[/tex]

We have

Y'' − 5y' = 8 . e^4t − 4 . e−t

[tex]s^{2} . L[ f(t) ] - 5. y(0)- y'(0) .....y^{n}(0)[/tex]

y(0) = 1, y'(0) = −1  

for f(t) = 8e4t − 4e−t.

= [tex]\frac{8}{s-4} - \frac{4}{s+1}[/tex]

L [f(t)] = [tex]\frac{4(s+6)}{s.(s-4)(s+1).(s-5)} + \frac{1}{s} - \frac{1}{s.(s-5)}[/tex]

Learn more about Laplace transform ;

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2x-10=12 what is the value of x+4

Answers

Answer:

15

Step-by-step explanation:

if 2x-10=12 then

2x=22 so

X=11

X+4= 15

Answer:

15

Step-by-step explanation:

1. we find what x is by finding out the first equation:

2x - 10 = 12

Add 10 to both sides (it cancels out on the first side)

-10 + 10 = 0 (cancels out)

12 + 10 = 22

2x = 22

Now we divide both sides by 2 to get x alone

22 divided by 2 = 11

X = 11

2. Now we can solve the equation x + 4:

Just fill in x, which as we solved, is 11

x + 4 = 11 + 4 = 15

Therefore, the value of x + 4 is 15.

Type the correct answer in the box. round your answer to the nearest tenth. events m and n are independent events. in this scenario, if p(m) = 0.46 and p(m and n) = 0.138, then p(n) = .

Answers

The probability helps us to know the chances of an event occurring. The probability of event n occurring is 0.3.

What is Probability?

The probability helps us to know the chances of an event occurring.

[tex]\rm{Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}[/tex]

We know that for two independent events the probability of the two events occurring simultaneously is written as,

[tex]P(A \cap B) = P(A)\cdot P(B)[/tex]

Now, as we know the probability of event m occurring also we know the probability of both events occurring simultaneously, therefore, the probability of event n occurring can be written as,

[tex]P(A \cap B) = P(A)\cdot P(B)\\\\P(m \cap n) = P(m)\cdot P(n)\\\\0.138 = 0.46 \times P(n)\\\\P(n) = 0.3[/tex]

Hence, the probability of event n occurring is 0.3.

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Solve the system using linear combination.
41
S 5x + 3y
Зх бу
9
We want to eliminate the variable y. What number should we multiply times the first
equation, so that when we add the two equations, we can eliminate the variable y?

Answers

Answer:

Delta does not have a relative extreme in the equation, so it is variable y It can not be true

Step-by-step explanation:

[tex]s = 5x + 3y[/tex]

There is an answer

The rest of the equation that has no substituted delta is not true, so the prime variables have relative extremes.

40 points answer ASAP
A manager is assessing the correlation between the number of employees in a plant and the number of products produced monthly. The table shows the data:


Number of employees
(x) 0 10 20 30 40 50 60 70 80
Number of products
(y) 120 200 280 360 440 520 600 680 760


Part A: Is there any correlation between the number of employees in the plant and the number of products produced monthly? Justify your answer. (4 points)

Part B: Write a function that best fits the data. (3 points)

Part C: What does the slope and y-intercept of the plot indicate? (3 points)

Answers

Answer: See below

Step-by-step explanation:

a) There is a correlation between the number of employees in the plant and the number of products produced yearly. Specifically, a positive correlation exists because, as we can see on the table, as the number of employees increases, the number of products also increases. And the rate of increase is constant.

b) Let the function be: y = mx + b

When x = 0; y = 120

So:

120 = 0 + c

c = 120

Now the slope:

[tex]\text { Slope }=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}=\frac{200-120}{10-0}=\frac{80}{10}=8[/tex]

Therefore, the equation that best fits the data is y = 8x + 120

c) The slope in the function represents the constant rate of change, meaning that as the number of employees increases by 1, the number of products produced monthly increases by 20. While the y-intercept of the plot, which is 120, indicates the constant number of products, that is to say, when there are no employees, there are still 120 products.

What are the domain and range of g of x equals the square root of the quantity x plus 4?

D: [4, ∞) and R: [0, ∞)
D: (–4, ∞) and R: (–∞, 0)
D: [–4, ∞) and R: [0, ∞)
D: (4, ∞) and R: (–∞, 0)

Answers

Using it's concept, it is found that the domain and range of the function are given by:

D: [–4, ∞) and R: [0, ∞)

What are the domain and the range of a function?The domain of a function is the set that contains all the values of the input.The range of a function is the set that contains all the values of the output.

In this problem, the function is:

[tex]g(x) = \sqrt{x + 4}[/tex]

The square root function does not exist for negative values, hence the domain is represented by:

[tex]x + 4 \geq 0 \rightarrow x \geq -4[/tex]

The range of the square root function is [tex]x \geq 0[/tex], which remains the same as there are no vertical translations.

Hence the correct option is given by:

D: [–4, ∞) and R: [0, ∞)

More can be learned about domain and range of functions at https://brainly.com/question/10891721

Answer: C) D: [–4, ∞) and R: [0, ∞)

Step-by-step explanation:



There are 250 wolves in a national park. the wolf population is increasing at a rate of 16% per year. write an exponential model to represent the situation. use the model from problem 1 to determine how long it will take the wolf population in the national park to reach 1000. round the answer to the nearest hundredth.

Answers

[tex]\qquad \textit{Amount for Exponential Growth} \\\\ A=P(1 + r)^t\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{initial amount}\dotfill &250\\ r=rate\to 16\%\to \frac{16}{100}\dotfill &0.16\\ t=\textit{elapsed time} \end{cases} \\\\\\ A=250(1 + 0.16)^{t}\implies A=250(1.16)^t \\\\[-0.35em] ~\dotfill[/tex]

[tex]A=P(1 + r)^t\qquad \begin{cases} A=\textit{accumulated amount}\dotfill &1000\\ P=\textit{initial amount}\dotfill &250\\ r=rate\to 16\%\to \frac{16}{100}\dotfill &0.16\\ t=\textit{elapsed time} \end{cases} \\\\\\ 1000=250(1.16)^t\implies \cfrac{1000}{250}=1.16^t\implies 4=1.16^t \\\\\\ \log(4)=\log(1.16^t)\implies \log(4)=t\log(1.16) \\\\\\ \cfrac{\log(4)}{\log(1.16)}=t\implies \stackrel{\textit{about 9 years and 4 months}}{9.34\approx t}[/tex]

If you borrowed $2000 from your friend to buy a triathlon bike with a simple interest loan of 7%
annual interest rate for 6 months. How much money will you need to pay them back after the 6
months?

Answers

The amount of money that you will need to pay them back after the 6 months is $2,070.

Given the following data:

Interest rate = 7% = 0.07.

Simple interest = $2000.

Time = 6 months.

Conversion:

12 months = 1 year.

6 months = 0.5 year.

How to calculate simple interest.

Mathematically, simple interest is given by this formula:

[tex]I=PRT[/tex]

Where:

S.I is the simple interest.P is the principal or starting amount.R is the interest rate.T is the time measured in years.

Substituting the given parameters into the formula, we have;

[tex]I=2000 \times 0.07 \times 0.5[/tex]

I = $70.

Amount to be paid;

[tex]A=I+P\\\\\A=70+2000[/tex]

A = $2,070.

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If in a certain year, 400 000 high school seniors took a test in the NSAT and 240 000 scored above the cut-off score, what is the cut-off score for that year?​

Answers

Answer:

160 000

Step-by-step explanation:

400 000 - 240 000 = 160 000

Hi can u please help me with this and also an explanation thank u

Answers

Question 1: Area of the base

The base is a triangle

          ⇒ Area of a Triangle --> [tex]\frac{1}{2}*(base)*(height)[/tex]

                ⇒ Area = [tex]\frac{1}{2} * 6 * 8 = 3 * 8 =[/tex] 24 square kilometers

Question 2: Height of Pyramid

Height of pyramid ⇒ distance from the tip of the figure to its base

          ⇒ Height = 12 km

Question 3: Volume of a pyramidFormula for Volume of a pyramid ⇒  1/3 * (base area) * (height)

          ⇒ [tex]\frac{1}{3} *24 * 12 = 8 * 12[/tex] = 96 cubic kilometers

Hope that helps!

If you read 84 pages in 156. At this rate how long will it take you to read 21 pages?

Answers

Answer:

39

Step-by-step explanation:

you can set a proportion

84/156 = 21/x

when u solve for x u get 39

Pls help dont need an explanation just an answer

Answers

At y-intercept x=0.
Y-intercept = 1

(0,1). & (-1 ,-4)

Slope =y2-y1/(x2-c1)
=(-4-1)/(-1-0)
=-5/-1
Slope =5
= (

Answer:

[tex]\boxed{\text{Slope = 5}}[/tex]

[tex]\boxed{\text{y-intercept = 1}}[/tex]

Step-by-step explanation:

To find the slope of the line, we must pick any two points on the line. Using those two points, we will calculate the Rise and the Run. Then, we will use the slope formula (Rise/Run) to find the slope. The y-intercept is the intersection of the point on the y-axis.

[tex]\text{My chosen points: (0,1) and (1,6)}[/tex]

[tex]\text{Rise = 5; Run = 1}[/tex]

≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡

[tex]\text{Slope}= \dfrac{\text{Rise}}{\text{Run}}[/tex]

➡ [tex]\bold{Slope = \frac{5}{1} = \underline{5}} \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ [\text{Rise = 5; Run = 1}][/tex]

[tex]\underline{........................................................................................................................}[/tex]

[tex]\text{Intersection on y-axis:} \ (0,1)[/tex]

➡ [tex]\text{y-intercept} \rightarrow (0,\bold{ 1}) \rightarrow \bold{\underline{{1}}}}[/tex]

≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡

The cheer squad is ordering small towels to throw into the stands at the next pep rally. The printing company has quoted the following prices. Which function defined below represents the cost, C, in dollars for an order of x towels?.

Answers

The function D represents the cost is  $175  for of x towels.

For the first 20 towels, the equation is simply 5x.

The 5 is the cost per towel ($5) times the number of towels sold up to and including 20 towels.

What is the meaning of maximum cost of 20 towels?

Replace x by 20 in given expression  we get the maximum cost

So the maximum cost of those 20 towels is $5 (20)=$100.

Looking at towels 21 and greater, the price drops to $3 each. Putting this in a formula,

Therefore we get,

3(x-20)+100

Which is $3 for the cost per towel, (x-20) since it starts with towel number 21, and +100 for the cost of the first 20 towels.

Let's try it for 45 towels using the formula

3 (45-20)+ 100

=3(25) + 100

=75+ 100

= $175

The function D represents the cost is  $175  for of x towels.

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Answer:

d

Step-by-step explanation:

edge 2022

please answer fast this answer with image​

Answers

Answer:

3/2

use a calculator to try it on your own

do the 1/4 - 4/9 (4/2/3-11/12) first

then times 9/17

then plus 1/1/8

at last divide by 9/16

In the following figure, the square ABCD is inscribed in the circle centered at point P. What is the area of the circle?

Answers

Answer:

[tex]A_{Circle} \approx 39.24\: units^2[/tex]

Step-by-step explanation:

Square ABCD is inscribed in a circle with center P such that BC = 5 units.

BD will be diagonal of the square as well as diameter of the circle.

[tex]BD = BC\times\sqrt 2[/tex]

[tex]\implies BD = 5\sqrt 2[/tex]

-> Diameter of the circle [tex](d) = 5\sqrt 2[/tex]

-> Radius of the circle [tex](r) = 2.5\sqrt 2=3.535\: units[/tex]

[tex]A_{Circle} =\pi(r)^2[/tex]

[tex]\implies A_{Circle} =3.14(3.535)^2[/tex]

[tex]\implies A_{Circle} =3.14(3.535)^2[/tex]

[tex]\implies A_{Circle} =39.2381465[/tex]

[tex]\implies A_{Circle} \approx 39.24\: units^2[/tex]

Can y’all please solve this

Answers

A). The answer is x = -4
Work:
3 - x = 11 + x
3 - x - 3 = 11 + x - 3
-x = x + 8
-x - x = x + 8 - x
-2x = 8
-2x/-2 = 8/-2
Answer: x = -4

B). The answer is x = 6
Work:
2x + 7 = 3x + 1
2x + 7 = 3x + 1 - 7
2x = 3x - 6
2x - 3x = 3x - 6 - 3x
-x = -6
-x/-1 = -6/-1
Answer x = 6

C). Answer: x = 4/3
Work:
8 - 2x = 4 + x
8 - 2x - 8 = 4 + x - 8
-2x = x - 4
-2x - x = x - 4 - x
-3x = -4
-3x/-3 = -4/-3
Answer: x = 4/3

D). Answer: x = 2
Work:
4x + 2 = 2x + 6
4x + 2 - 2 = 2x + 6 - 2
4x = 2x + 4
4x - 2x = 2x + 4 - 2x
2x = 4
2x/2 = 4/2
Answer: x = 2

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Answers

Answer:

a

Step-by-step explanation:

the solution to the system is at the point of intersection of the linear equations.

the lines intersect at (- 4, 3 )

then solution is (- 4, 3 )

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