if n(A) = 12, n(b) = 9 and n(AuB) = 16 then find the value of n (A-B)
Question has a slight error .we should find n(A[tex]\cap[/tex]B)
n(A)=12n(B)=9.$n(A\cup B)=16$[tex]\boxed{\sf n(A\cup B)=n(A)+n(B)-n(A\cap B)}[/tex]
[tex]\\ \rm\longmapsto n(A\cap B)=n(A)+n(B)-n(A\cup B)[/tex]
[tex]\\ \rm\longmapsto n(A\cap B)=12+9-16[/tex]
[tex]\\ \rm\longmapsto n(A\cap B)=5[/tex]
If the present value of my investment is $1,000 and the rate of interest is 6% compounded annually, what will the value be after 10 years?
Answer:
$1790.84
Step-by-step explanation:
The investment will have value of 1000*(1+0.06)^10=1790.84 in 10 years
Help anyone can help me do the question 4,I will mark brainlest.
Answer:
Hello,
Step-by-step explanation:
[tex]A=(1,2)\\B=(0,-1)\\\overrightarrow{AB}=((0,-1)-(1,2)=(-1,-3)\ ||\overrightarrow{AB}||^2=1+9=10\\\overrightarrow{BC}=((3,-2)-(0,-1)=(3,-1)\ ||\overrightarrow{BC}||^2=9+1=10\\\\Triangle\ is\ isosceles.\\\\\overrightarrow{AB}.\overrightarrow{BC}=(-1,-3)*\left[\begin{array}{c}3\\-1\end{array}\right] =-3+3=0\\\\Triangle \ is\ right.\\\\[/tex]
Answer:
(Work below)
BRAINLIEST, PLEASE!
Step-by-step explanation:
A(1, 2) B(0, -1) C(3, -2)
The distance between A and B is:
3^2 + 1^2 = c^2
9 + 1 = c^2
c = 10^1/2
The distance between B and C is:
1^2 + 3^2 = c^2
1 + 9 = c^2
c = 10^1/2
The distance between C and A is:
4^2 + 2^2 = c^2
16 + 4 = c^2
c= 20^1/2
Since AB and BC are the same, but AC isn't, the triangle is isosceles.
can someone solve this for me?
what is -2 1/3 - 1 1/2 =
Step-by-step explanation:
[tex] \frac{ - 21}{3} - \frac{11}{2} [/tex]
[tex] \frac{ - 21 \times 2 - 11 \times 3}{6} [/tex]
[tex] \frac{ - 42 - 33}{6} [/tex]
[tex] \frac{ - 75}{6} [/tex]
[tex]12.5[/tex]
I hope this will help you...please mark my answer as BRAINLIEST..,....?? anyone know the answer i dont know how to solve for this
Answer:
C
Step-by-step explanation:
-3 is the y intercept, where the line crosses the y axis
-2.666667 is the slope, rise over run
10 A frustum is a portion of a solid. The frustum shown opposite is formed from a cone.
a What is the volume of the missing top cone? Give answers correct to the nearest cubic metre.
b What was the volume of the entire cone?
c What is the volume of the frustum?
Step-by-step explanation:
all you needed to do was a quick search on the internet : "volume of a cone".
and you get immediately :
pi×r²×h/3
the reason is similar to all other volume formulas : base area times height. for pyramids and cones there are factors included to reduce this a bit, because they simply don't go straight up from their base area, so they have less volume than comparable objects that do go straight up (like a cylinder compared to a cone).
r = radius
h = height
so, for a) we only need to use the calculator :
pi × 5² × 30 / 3 = pi×25×10 = 785.4 ≈ 785 m³
for b) we need to do the same thing, but with r = 10 and h = 60.
pi × 10² × 60 / 3 = pi×100×20 = 6283.2 ≈ 6283 m³
so, for c) we only need to subtract the result of a) from the result of b)
the frustum is the volume of the large cone minus the volume of small, top cone.
6283 - 785 = 5498 m³
Identify the rule for the following pattern:
4, 24, 144
Answer:
It is being multiplied by 6 each time.
Step-by-step explanation:4x6, 24x6
FAST!!!
Use the vertical line test to determine which graph does not represent a function
Answer:
B is not a function
Step-by-step explanation:
The vertical line would touch the parabola 2 times.
Which set of numbers are imaginary numbers?
Answer:
Step-by-step explanation:
Imaginary. Imaginary numbers are numbers whose squares are negative. They are the square root of minus one, i = √−1, and all real number multiples of i, such as 2i and i√2.
The required set of imaginary numbers are, √-1, √-4, √-5. Option A is correct.
To determine from the options the set of imaginary numbers.
A number system is described as a technique of composing to represent digits. It is the mathematical inscription for describing numbers of a given set by using numbers or other characters in a uniform method. It delivers a special presentation of every digit and describes the arithmetic structure.
Here,
imaginary number are the number such square root of negative numbers,
So, the set of imaginary numbers is √-1, √-4, √-5.
While all other set are given are not set of imaginary numbers.
Thus, the required set of imaginary numbers are, √-1, √-4, √-5. Option A is correct.
Learn more about the number system here:
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WILL GIVE PUT BRAINLIEST PLEASE HELP
okay so i don’t have a ruler so please help! Part III – Measuring Lines
Using a metric ruler, measure and record the length of the following lines. (This is metric... SO
make sure to use the correct label)
what is 1/3 + 1/10?
Answer:
13 + 110 is 1330 is the answer
1/3 + 1/10
= 10/30 + 3/30
= 13/30
Tutorial
Sophie went to the lake with her family. First, they spent 1
1
4
hours fishing. Then, they spent twice as much time swimming. How much time did they spend fishing and swimming in all?
Answer:
342 hours
Step-by-step explanation:
114 x 2 = 228
228 + 114 = 342
114 hours fishing
228 hours swimming
Hope this helps, please leave any questions in the comments. Thanks
Find the coordinates of the image of J (−5, −1) after the translation (x, y) → (x − 2, y).
A. (−7, −3)
B. (−5, −3)
C. (−3, −1)
D. (−7, −1)
The coordinates of the image of J (−5, −1) after the translation (x, y) → (x − 2, y) will be (−7, −1). Then the correct option is D.
What is a transformation of a point?A spatial transformation is each mapping of feature space to itself and it maintains some spatial correlation between figures.
The rule of the translation is given below.
(x, y) → (x − 2, y)
The coordinates of the image of J (−5, −1). Then the location of the point J after the translation will be
(x, y) → (x − 2, y)
(−5, −1) → (−5 −2, −1)
(−5, −1) → (−7, −1)
The coordinates of the image of J (−5, −1) after the translation (x, y) → (x − 2, y) will be (−7, −1). Then the correct option is D.
More about the transformation of a point link is given below.
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Gabriel was at the gym for 3/4 hours. He spent 1/2 of this time shooting baskets. What fraction of an hour did Gabriel spend shoot baskets?
Answer:
1/2×3/4=3/8h
3/8×8/8=
3/8h
The solids are similar. Find the volume V of the larger solid.
Answer:
9604
Step-by-step explanation:
V = (7/3)³ × 756
= 343/27 × 756
= 9604 ft³
The longer base of an isosceles trapezoid measures 23 ft. The nonparallel sides measure 9 ft, and the base angles measure 80°. Find the length of a diagonal.
Answer:
Hi,
Step-by-step explanation:
Using Al's kashi theorem,
diag²=9²+23²-2*9*23*cos(80°)=538,109654....
diag=23,197190... (ft)
How many quarters are there in 2¼ ?
Answer:
9
Step-by-step explanation:
[tex]\frac{2\frac{1}{4}}{4} = 9[/tex]
(2 1/4) / 4 = 9
Hope it helps,... Chow,...!
Which equation can be used to solve for x in the following diagram
Answer:
A
Step-by-step explanation:
As the sum of angles should be 0 for a straight line, 3x+8x-20+90=180, 3x+8x-20=90
Answer:
first
3x + (8x - 20) = 90
.......
Which is an estimate of _/75
nearest whole number?
Answer:
9 is closest whole number
Answer:
9
Step-by-step explanation:
Lets look at the squares
7^2 = 49
8^2 = 64
9^2 = 81
It is between 8 and 9
75 - 64 =11
81 - 75 = 6
It is closer to 9 than 8
Given 4 c + 5 not-equals 0 and c is a real number, what is the multiplicative inverse of 4 c + 5 not-equals 0
0
1
StartFraction 1 Over 4 c + 5 End Fraction
StartFraction 1 Over 4 c EndFraction + 5
The multiplicative inverse is 1 / (4c + 5).
In mathematics, the multiplicative inverse of a number is the reciprocal of that number. In other words, if we have a non-zero number "a", then its multiplicative inverse is the number "1/a", which when multiplied by "a" gives the product of 1.
The multiplicative inverse of a number a is the number that when multiplied by a gives the product of 1. In other words, if a is not equal to 0, the multiplicative inverse of a is 1/a.
In this case, we are given that 4c + 5 is not equal to 0. Therefore, the multiplicative inverse of 4c + 5 is:
1 / (4c + 5)
So, the correct answer is 1 / (4c + 5).
To know more about multiplicative inverse follow
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Solve for x.
6x + 2 = 14
x = 12
x = 2 2/3
x = 2
x = 1 3/4
Answer:
x=2
Step-by-step explanation:
6x + 2 = 14
Subtract 2 from each side
6x+2-2 = 14-2
6x= 12
Divide by 6
6x/6 = 12/6
x=2
Answer: x=2
Step-by-step explanation:
helpppppp meeeeeee plssssss!!!!!!!!!!!!!!!1
Answer:
-12
Ydbzushsbsksjsbsksudjeke
fraction into the statement 1:50000
Answer:
1/50000
please mark as brainliest thanks!
prove that : Cos 2A =cot^2-1/cot^2+1
Answer:
[tex] \cos(2A) = { \cos }^{2} A - { \sin }^{2} A \\ = { \cos }^{2} A - \frac{1}{ \csc {}^{2} A} \\ \\ = \frac{( { \cos}^{2} A. \csc {}^{2}A ) - 1}{ { \csc }^{2} A} \\ \\ = \frac{( \frac{ { \cos}^{2}A }{ { \sin }^{2} A}) - 1 }{ { \csc }^{2} A} \\ \\ = \frac{ { \cot}^{2}A - 1 }{ { \csc}^{2} A} [/tex]
but csc²A = cot²A + 1:
[tex] = \frac{ { \cot}^{2}A - 1 }{ { \cot }^{2}A + 1 } [/tex]
# proved
hey please help i’ll give brain
Answer:
The answer is A. They are just inverses, but are essentially, the same problem. The order does not matter.
Step-by-step explanation:
GIVING BRAINLIEST IF CORRECT!! EASY MATH!!!
Answer:
Reflecting across the x-axis looks like this: -g(x)
A negative on the outside of the function.
So your answer may be
-|x|
Don't give me the answer just explain where I messed up.
Answer:
9x^2 -2x+8
Step-by-step explanation:
( 9x^2 -5x) - ( -3x -8)
Distribute the minus sign
( 9x^2 -5x) +3x +8
Combine like terms
9x^2 -2x+8
The x^2 should be positive and you have it as negative
Answer:
Their is not supposed to be a negative sign infront of the 9x
Step-by-step explanation:
Remember combine like terms :)
14 - k + 3k - 6 =
Answer:
8 + 2kStep-by-step explanation:
14 - k + 3k - 6
= 14 - 6 - k + 3k
= 8 + 2k (Ans)
Answer:
2k+8
Step-by-step explanation:
I did combine like terms hope this was helpful
Find the value of a in this diagram