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kobusy [5.1K]
2 years ago
8

The square below has side 5x. Find the area of the square remaining after a circle of radius 2x is removed from the square; in o

ther words, find the area of the shaded region in factored form.

Mathematics
2 answers:
Sonbull [250]2 years ago
7 0

Answer:

12.43x²

Step-by-step explanation:

area circle: pi×(2x)²

= 4pi×x²

area square:

5x×5x= 25x²

<u>colored</u><u> </u><u>area</u><u>:</u><u> </u><u>area</u><u> </u><u>square</u><u>-</u><u> </u><u>area</u><u> </u><u>circle</u>

<u>=</u><u>25x</u><u>²</u><u>-4pi</u><u>×</u><u>x</u><u>²</u>

<u>≈</u><u>12.43x</u><u>²</u>

ANTONII [103]2 years ago
3 0

Answer:

hope it helps you

..........

...

..

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Vadim26 [7]

Answer:

x+2

Step-by-step explanation:

The firs 3 observations are x, x+2, x+4

Mean = sum of data/samaple size

Mean = x+x+2+x+4/3

MEan = 3x+6/3

Mean = 3(x+2)/3

Mean = x+2

Hence the required mean is x+2

6 0
3 years ago
An insurance company estimates the probability of an earthquake in the next
erma4kov [3.2K]

Answer:

- 27.88

Step-by-step explanation:

Probability of earthquake = 0.0012

P(earthquake). = 0.0012

P(no earthquake) = 1 - p(earthquake) = 1 - 0.0012 = 0.9988

X ____ 60,000 ______ - 100

P(X) ___ 0.0012 _____ 0.9988

The expected value of the policy :

E(X) = Σx*p(x)

E(X) = (0.0012 * 60000) + (0.9988 * - 100)

E(X) = 72 - 99.88

E(X) = - 27.88

3 0
2 years ago
Help 30 points and i will mark brainliest for the best answer which will be more points
klasskru [66]

Answer:

See below

Step-by-step explanation:

From the table we see there is a relation between x and y values

Every step change of x = 0.5, every step change of y = 2

<u>This relation is linear. The formula for linear function is:</u>

  • y = mx + b

<u>Using to pairs of points to get the slope and y-intercept</u>

  • (0, 60) and (1, 64)

<u>Calculating the slope:</u>

  • m = (64 - 60)/(1 - 0) = 4/1 = 4
  • y - intercept is 60 as per point (0, 60)

<u>So the function is</u>

  • y = 4x + 60
<h3>Part A</h3>
  • Yes. Described above
<h3>Part B</h3>
  • y = 4x + 60
<h3>Part C</h3>
  • Slope is the steepness of the line.
  • y -intercept is the lowest score with no time spent studying
6 0
3 years ago
If interest is compounded once every 12 months, how often is it
Alenkasestr [34]

Answer:

Quarterly

Step-by-step explanation:

8 0
2 years ago
Read 2 more answers
Solve the system by the substitution method. Show your work. 2y - x = 5, x2 + y2 - 25 = 0
Anna71 [15]
Subsitution

2y-x=5
minus 2y both sides
-x=5-2y
times -2 both sides
x=2y-5

subsitute 2y-5 for x in other equation

(2y-5)²+y²-25=0
expand
4y²-20y+25+y²-25=0
5y²-20y=0
factor
5y(y-4)=0
set to zero

5y=0
y=0

y-4=0
y=4


subsitute back

for y=0
x=2y-5
x=2(0)-5
x=-5
one solution is (-5,0)

for x=4
x=2y-5
x=2(4)-5
x=8-5
x=3
one solution is (3,4)




the 2 soltuions are (-5,0) and (3,4)
8 0
3 years ago
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