Find the area of the shaded regions. Give your answer as a completely simplified exact value in terms of π (no approximations)
Answer:
52[tex]\pi[/tex]
Step-by-step explanation:
The total shaded are will be the area of big circle - not shaded circle + little shaded circle.
The are of big shaded circle: [tex]\pi[/tex][tex]r^{2}[/tex] So, A=[tex]\pi[/tex](8^2)= 64[tex]\pi[/tex]
The are of not shaded circle: [tex]\pi r^{2}[/tex] So, A= [tex]\pi[/tex](4^2)= 16[tex]\pi[/tex]
The are of little shaded cirlce: [tex]\pi r^{2}[/tex] So, A=[tex]\pi[/tex](2^2)= 4[tex]\pi[/tex]
64[tex]\pi[/tex] - 16[tex]\pi[/tex] + 4[tex]\pi[/tex]= 52[tex]\pi[/tex]
what is 246 588 rounded to the ten thousands place
9514 1404 393
Answer:
250,000
Step-by-step explanation:
The thousands digit is more than 4, so the ten-thousands digit is increased by 1 before digits to its right are replaced by zeros. The rounded number is ...
250,000
I dont think this is right PLEASE HELP ASAP!!!! thank you so so so much!!! *will give brainliest*
Answer:
i got -2.093 repeating
Step-by-step explanation:
multiply -2 and 3.14 then divide by - 3 sorry if not right
Factor -45x - 18 using the greatest common factor. Do not use spaces in your answer
a packet contains 6 maths books each of length 25 CM 20 cm and height 2 cm what is the volume of the packet
Step-by-step explanation:
1book valume = 25cm×20cm×2cm=1000cm³
a packet valume = 6×1000cm³ = 6000cm³
Answer:
216000 cm3
Step-by-step explanation:
length of packet = 6 × 25 cm = 150 cm
breadth of packet = 6 ×20 cm = 120 cm
height of packet = 6 × 2 cm = 12 cm
Now,
volume of packet = l×b×h = 150 cm × 120 cm × 12 cm
= 216000 cm3
WEEEEEEEEEEEEEEEEEEEEEEE
Answer:
a^7/8^2
Step-by-step explanation:
Here, we want to write the expression using only positive exponents
An important rule for indices to use here is that;
a^-b = 1/a^b
thus;
8^-2 = 1/8^2
So we have;
1/8^2 * a^7
= a^7/8^2
Which of the following is an improper integral?
A) the integral from 0 to 3 of the quotient of the quantity x plus 1 and the quantity 3 times x minus 2 dx
B) the integral from 1 to 3 of the quotient of the quantity x plus 1 and the quantity 3 times x minus 2 dx
C) the integral from negative 1 to 0 of the quotient of the quantity x plus 1 and the quantity 3 times x minus 2 dx
D) None of these
Answer:
A) [tex]\displaystyle \int\limits^3_0 {\frac{x + 1}{3x - 2}} \, dx[/tex]
General Formulas and Concepts:
Calculus
Discontinuities
Removable (Hole) Jump Infinite (Asymptote)Integration
IntegralsDefinite IntegralsIntegration Constant CImproper IntegralsStep-by-step explanation:
Let's define our answer choices:
A) [tex]\displaystyle \int\limits^3_0 {\frac{x + 1}{3x - 2}} \, dx[/tex]
B) [tex]\displaystyle \int\limits^3_1 {\frac{x + 1}{3x - 2}} \, dx[/tex]
C) [tex]\displaystyle \int\limits^0_{-1} {\frac{x + 1}{3x - 2}} \, dx[/tex]
D) None of these
We can see that we would have a infinite discontinuity if x = 2/3, as it would make the denominator 0 and we cannot divide by 0. Therefore, any interval that includes the value 2/3 would have to be rewritten and evaluated as an improper integral.
Of all the answer choices, we can see that A's bounds of integration (interval) includes x = 2/3.
∴ our answer is A.
Topic: AP Calculus AB/BC (Calculus I/I + II)
Unit: Integration
Book: College Calculus 10e
Identify the rational exponent expression for V10°.
Answer:
The square root of 16 is rational.
Step-by-step explanation:
Answer:
Step-by-step explanation:
V10,000 20.5121/3 21. 41/2. 22. 11/3. 23.
Set up a proportion to solve for x.
A 18
B) 9
C) 4.2
D) 3
HELPP
-0.5x+x plz answer quick
1) Alex bought some chips and pop for his class party. He bought a total of
32 items. Each bag of chips cost $0.75 and each bottle of pop cost $2.19.
He spent a total of $39.84. How many bags of chips and how many bottles
of pop did he buy?
Answer:
21 bags of chips and 11 bottles of pop
Step-by-step explanation:
(0.75 × 21)+(2.19 × 11) = $39.84
Answer:
18
Step-by-step explanation:
Divide the 39.84 to 2.19 because the question was find how much pop bought
Select the correct answer.
The loudest animal on Earth is the blue whale. Blue whales can emit sound with an intensity of 106.8 watts/meter2. The equation
log
by the human ear, Io (approximately 1 x 10-12 watts/meter).
Based on this information, which value is closest to the sound level, in decibels, of the vocalizations of a blue whale?
A.
140 dB
B.
100 dB
C. 240 dB
D. 1,000 dB
Answer:
140 db
Step-by-step explanation:
I have succesfully finished tihs
The value is closest to the sound level of the vocalizations of a blue whale is 140dB.
We have given that,
Intensity(I)= 106.8 watts/meter^2
The intensity of sound hair by the human ear is,
[tex]I_0=1\times10^{-12}[/tex]
What is the meaning of the sound intensity?Sound intensity is defined as the power carried by sound waves per unit area in a direction perpendicular to that area.
We have to find which value is closest to the sound level, in decibels, of the vocalizations of a blue whale
So we have given the formula
[tex]B=10 log(\frac{I}{I_0} )[/tex]
So use the given value we get
[tex]B=10 log(\frac{106.8}{1\times 10^{-12}} )[/tex]
B= 140.28 dB≈140 dB
Therefore the value is closest to the sound level of the vocalizations of a blue whale is 140dB.
To learn more about the intensity visit:
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Triangle ABC has vertices at A(1, 2), B(4,6), and C(4,2) in the coordinate
plane. The triangle will be reflected over the x-axis and then rotated 180°
about the origin to form a A'B'C'. What are the vertices of A'B'C'?
A. A'(1, -2), B'(4, -6), C'(4,-2)
B. A'(-1, -2), B'(-4,-6), C'(-4,-2)
C. A'(-1,2), B'(-4, 6), C'(-4,2)
D. A'(1, 2), B'(4, 6), C'(4,2)
Answer:
c
Step-by-step explanation:
£1 = $1.5 dollars
Convert £20 into dollars
Answer:
$30
Step-by-step explanation:
1.5 x 20 = 30
If a number is tripled and then subtracted from 28, the result is 3 more than twice the number. What is the number?
A)x=5
B)x=31
C)x=6
D)x=4
Answer: x = 5
Step-by-step explanation:
Based on the information, the number is x= 5.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
A mathematical equation is a statement with two equal sides and an equal sign in between. An equation is, for instance, 4 + 6 = 10. Both 4 + 6 and 10 can be seen on the left and right sides of the equal sign, respectively.
Consider that the number be x.
Given that;
Tripling the number we get = 3x.
On subtraction from 28, the equation will be: 28 - 3x.
Now forming the equation for result. Twice the number will be 2x. Result = 2x + 3.
Now equating these two equations as;
28 - 3x = 2x + 3
Rewriting the equation as;
3x + 2x = 28 - 3
Now, addition on Left Hand Side and subtraction on Right and Side
5x = 25
x = 25 ÷ 5
Performing division on Right Hand Side, we get;
x = 5
Learn more about equations here;
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Can someone Find the AB to this
Answer:
AB = 12.5
Step-by-step explanation:
BX is an altitude and a median. That means that triangle ABC is isosceles.
AB = CB
AB = 12.5
What time is shown on this clock
Answer: around i believe 10:35
Step-by-step explanation:
Answer:
its 10:20
Step-by-step explanation:
There are 520 marbles in a jar. The ratio of red to yellow marbles is 3:4 and the ratio of yellow to blue marbles is 2:3. What is the total number of yellow and blue marbles?
Answer:
Step-by-step explanation:
Change the 2/3 to 4/6
Now the ratio becomes 3:4:6
So the number of each is
3x + 4x + 6x = 520
13x = 520
x = 40
Red = 3*40 = 120
Yellow = 4*40 = 160
Blue = 6 * 40 = 240
Total = 520
will give brainliest please help:)
1; 5.5x+1-(1.5x+17)
2; x-3x-(-5x)
9514 1404 393
Answer:
4x -16 3xStep-by-step explanation:
Use the distributive property to distribute the outside minus sign to all terms inside parentheses.
1) 5.5x +1 -(1.5x +17) = 5.5x +1 -1.5x -17 = x(5.5 -1.5) +(1 -17)
= 4x -16
__
2) x -3x -(-5x) = x -3x +5x = x(1 -3 +5)
= 3x
Find the value of x.
The function a(h) below relates the area of a triangle with a given base 7 and the height of the triangle. It takes as input the height of the triangle and returns as output the of the triangle. an) - 7 Write the equation that represents inverse function, h(a), which takes triangles area as input and returns height of the triangle.
HURRY I NEED THIS IN 20 mins please help me
Write an equation for the function g whose graph is the graph off
f(x) = -100(1.05)
translated to the right 5 units and up 50 units.
Answer:
f(x) = -100(1.05)^(x+5) + 50
Step-by-step explanation:
Here, we want to write an equation that represents the transformation
5 units right means 5 units on the positive x-axis
50 units up means we add this to the total y value
So the resulting equation will be;
f(x) = -100(1.05)^(x+5) + 50
help me! pleaseeeeeeeeeeeeeeeeee
Answer:
20 weeks
Step-by-step explanation:
If 20 kilograms of paper have already been recycled, and the goal is 40 kilograms, subtract the 20 kg from the 40 kg. You are left with a remaining 20 kg to recycle. If the new plan has the office recycling 1 kg a week, mulitply that by 20 kg to get 20 weeks.
It will take the office 20 weeks to reach the total 40 kg of recycled paper.
Janette has 386 pennies. 58 nickels and 19 dimes If Janette exchanges her coins for dollars, how many dollars will she have? How many cents will remiain?
Answer:
$8 ; 66 cents
Step-by-step explanation:
Given that:
Worth of penny, dimes and Nickel in cents and dollars
Nickel, n = 5 cents = $0.05
Dimes, d = 10 cent = $0.1
Penny, p = 1 cent = $0.01
Multiplying the number of each coin with its respective value ;
386(0.01) + 58(0.05) + 19(0.1)
$3.86 + $2.9 + $1.9
= $8.66
Changing it to dollar ,
$8.66 dollars = 8 dollars ;
$0.66 = 66 cents
Solve the following inequality. 36> -2(x+4)+14
Answer:
x > - 15
Step-by-step explanation:
Given
36 > - 2(x + 4) + 14 ← distribute and simplify right side
36 > - 2x - 8 + 14
36 > - 2x + 6 ( add 2x to both sides )
2x + 36 > 6 ( subtract 36 from both sides )
2x > - 30 ( divide both sides by 2 )
x > - 15
Ehat is (-2,-4) rotated 270⁰ counterclockwise about the origin?
What is the slope and y-intercept of the following graphed Line?
30 points! Will mark brainliest. No random answer please.
Answer:
to determine whether the equation of the line parallel or perpendicular.we have to find there slope.
Step-by-step explanation:
2x+3y=153y=15-2x
y=15/3 -2x/3
y=5-2x/3
y=-2x/3 +5
so the cooficient tell us the slope of the line so it is -2/34x+6y=-48
6y=-48-4x
y=-4x/6 -48/6
y=-4x/6 -8
so the slope of this line is -4/6now to say two lines are parallel there slope should be the same
-2/3 ≠ -4/6
to say two line are perpendicular with one another the product of there slope should be -1
-2/3 * -4/6
=8/18
=4/9 which is different from -1
they are neither parallel nor perpendicular.there are only r red counters and g green counters in a bag. a counter is taken at random from the bag. the probability that the counter is green is 4/9 the counter is put back in the bag. 4 more red counters and 2 more green counters are put in the bag. a counter is taken from the bag. the probability that the counter is green is 10/23 find the number of red counters and the number of green counters that were in the bag originally. your final line must say, ... red and ... green counters.
The number of red counters and the number of green counters that were in the bag originally is: 10 red and 8 green counters.
How to calculate the probability of an event?Suppose that there are finite elementary events in the sample space of the considered experiment, and all are equally likely.
Then, suppose we want to find the probability of an event E.
Then, its probability is given as
[tex]P(E) = \dfrac{\text{Number of favorable cases}}{\text{Number of total cases}} = \dfrac{n(E)}{n(S)}[/tex]
where favorable cases are those elementary events who belong to E, and total cases are the size of the sample space.
For this case, let we had:
R numbers of red counters, and G number of green counters originally.
Then, total counters in the bag originally = R +G
One counter out of R+G counters can be chosen in R+G ways. But one green counter out of R+G counters can be chosen in G ways.
Thus, probability of taking green counter out in one random picking is:
[tex]\dfrac{G}{R + G}[/tex]
It is given that this probability is 4/9. Therefore, we get:
[tex]\dfrac{G}{R+G} = \dfrac{4}{9}\\\\\\9G = 4R + 4G\\\\5G = 4R[/tex](first equation)
When 4 more red counters and 2 more green counters were added, then:
One counter out of R+G+6 counters can be chosen in R+G+6 ways. But one green counter out of R+G+6 counters can be chosen in G+2 ways (since there are G+2 green counters in the considered bag) ways.
Thus, probability of taking green counter out in one random picking is:
[tex]\dfrac{G+2}{R + G+6}[/tex]
It is given that this probability is 10/23. Therefore, we get:
[tex]\dfrac{G+2}{R+G+6} = \dfrac{10}{23}\\\\\\23G + 46 = 10R + 10G + 60\\\\13G = 10R + 14[/tex](second equation)
Thus, we got a system of two linear equations as:
[tex]5G = 4R\\13G = 10R + 14[/tex]
From first equation, getting the value of G in terms of R,
[tex]G = \dfrac{4R}{5}\\[/tex]
Now, substituting this with G in the second equation, we get:
[tex]\\13\left(\dfrac{4R}{5} \right) =10R + 20\\\\52R = 50R + 20\\2R = 20\\R = 10[/tex]
From this value of R, and the value of G in terms of R, we get:
[tex]G = \dfrac{4R}{5}\\\\ = \dfrac{4 \times 10}{5} = 8[/tex]
Thus, R = 10 and G = 8.
Thus, the number of red counters and the number of green counters that were in the bag originally is: 10 red and 8 green counters.
Learn more about probability here:
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Write an equation of the line with the given slope and y-intercept. slope: -3 y-intercept: -6
Answer:
The equation of line with slope: -3 and y-intercept: -6 is [tex]\mathbf{y=-3x-6}[/tex]
Step-by-step explanation:
We need to write an equation of the line with the given slope and y-intercept. slope: -3 ,y-intercept: -6
The general equation for slope-intercept form is: [tex]y=mx+b[/tex]
where m is slope and b is y-intercept.
We are given in the question:
slope: -3 y-intercept: -6
So, we have slope m = -3 and y-intercept b = -6
Putting values in the slope-intercept form equation:
[tex]y=mx+b\\y=-3x-6[/tex]
So, The equation of line with slope: -3 and y-intercept: -6 is [tex]\mathbf{y=-3x-6}[/tex]
