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]
find three consecutive even integers for which -4 times the sum of the first and third is 192
Answer:
-26-24-22Step-by-step explanation:
Let x be the smallest number (first)
Let (x + 2) be the second number (second)
Let (x + 4) be the greatest number (third)
Set equation according to the given information
-4 [x + (x + 4)] = 192
Simplify parentheses
-4 [x + x + 4] = 192
-4 [2x + 4] = 192
Expand bracket and apply the distributive property
(-4) · 2x + (-4) · 4 = 192
-8x - 16 = 192
Add 16 on both sides
-8x - 16 + 16 = 192 + 16
-8x = 208
Divide -8 on both sides
-8x / -8 = 208 / (-8)
[tex]\boxed{x=-26}[/tex]
Find the value of the second term
x + 2 = (-26) + 2 = [tex]\boxed{-24}[/tex]
Find the value of the third term
x + 4 = (-26) + 4 = [tex]\boxed{-22}[/tex]
Hope this helps!! :)
Please let me know if you have any questions
Find the area of the circle.
Use 3.14 for it.
d = 8 cm
A = [?] cm2
A= 7Tr2
Answer:
50.24 cm^2.
Step-by-step explanation:
If d = 8 then r = 4 cm.
Area = 3.14 * r^2
= 3.14 * 4^2
= 50.24 cm^2.
Find the minimum value of the function:
f(x) = x2 + 9x – 16.
I was thrown into this without any help
Please help me out with part 3 i need this asap
Answer:
1) g(x) = 7
2) (-∞,∞)
3) 7
Step-by-step explanation:
which of the following is a counterexample of this statement?
If an angle is acute, then it measures 80°.
A. a 100° angle
B. a 90° angle
C. a 80° angle
D. a 70° angle
Answer:
a 70° angle
Step-by-step explanation:
an acute angle measure between 0° and 90° so a counterexample for the statement is the 70° angle which is also an acute angle that doesn't measure 80°
brainliest is appreciated
PLEASE HELP!!!!!!!!!!!!!!!!!!!!!!!
URGENT!!!!!!!
For the function h defined by h(x)=2x^2 − 2, find h(0).
Answer:
h(0) = - 2
Step-by-step explanation:
Substitute x = 0 into h(x) and evaluate , that is
h(0) = 2(0)² - 2 = 2(0) - 2 = 0 - 2 = - 2
Simplify 14^15/ 14^5
A 1^3
B 1^10
C 14^3
D 14^10
By which method can the right triangles below be proven congruent?
Select the best answer from the choices provided.
А.LA
B.LL
C.HL
D.The triangles cannot be proven congruent.
Answer: hl
Step-by-step explanation:
I think but I’m prob wrong
who is square
root 3
Answer:
Square root of 3 = 1.7321
Answer:
1.73
Step-by-step explanation:
SEE THE IMAGE FOR SOLUTION
HOPE IT HELPS
HAVE A GREAT DAY
Determine the measure of the interior angle at vertex E.
Answer:
30
Step-by-step explanation:
5 sides Pentagon=540
3x+4x+4x+4x+3x=540
18x=540
x=540/18
x=30
A bag contains 7 red marbles, 8 blue marbles, and 9 green marbles. What is the
probability of choosing a blue marble when one marble is drawn?
Answer:
The probability of choosing a blue marble is 1/3.
Step-by-step explanation:
Add up all of the marbles.
7+8+9=24.
Next, you get the fraction of the chosen marble type over all marbles. In this case, it's blue, so it's 8/24
Finally, you must simplify the fraction.
1/3 is the simplest form of 8/24.
(b) calculate the area of a triangle 7.8 cm 12.8 cm
Answer:
49.92 cm²
Step-by-step explanation:
Area of a triangle = base × height ÷ 2
7.8 × 12.8 ÷ 2 = 49.92
please help me out thank you so much whoever does !!
Find the domain of f(x)= x^2+4
Answer:
(Negative Infinity to Positive Infinity)
Step-by-step explanation:
A domain is all x values that can go into a function. This is a quadratic. A quadratic can accept any real number so the domain is
[tex]all \: real \: numbers[/tex]
or
(Negative Infinity to Positive Infinity)
What is polynomial?
Answer:
an expression of more than two algebraic terms, especially the sum of several terms that contain different powers of the same variable(s).
Answer:
Consisting of several terms
Step-by-step explanation:
An expression of more than two algebric terms
halp please and thank you??????????
Answer:
[tex]thank \: you[/tex]
6n 1/2 y 1/2
its solved, here ypu go
What is the ratio of all the what is the ratio of all the
marbles to yellow marbles? State the letter of the correct answer.
A. 2:15
B. 1:15
C. 15:1
D. 15:2
Evaluate the expression
Answer:
-4/7
Step-by-step explanation:
5(-1)^2-(-4)^2+3 / 2(-1)-4(-4)
=[5-16+3]/[-2+16]
=-8/14
Simplify each expression
Answer:
[tex]3. \: \: ( \frac{7}{8} ) ^{2} = \frac{ {7}^{2} }{ {8}^{2} } = \frac{49}{64} = 0.765 [/tex][tex]5. \: \: 8 + 5(7) = 8 + 35 = 43[/tex]
I hope I helped you^_^
Find the least common multiple of 9 and 15
Answer:
45
Step-by-step explanation:
9:9,18,27,36,45
15:15,30,45
Answer:
45
Step-by-step explanation:
The least common multiple is the smallest number found between the two numbers, in this case 9 and 15, while skip counting from each number. Or the like the multiplication table.
Multiples for 9:
9, 18, 27, 36, 45, 54, 63...
Multiples for 15:
15, 30, 45, 60, 85...
45 is the first and common number that appears in both multiples of 9 and multiples of 15. Therefore, it will be the least common multiple of 9 and 15.
24/4 ÷ 10
please answer quickly
Answer:
0.48
Step-by-step explanation:
25/4 ÷ 10=0.48
Brainiest plz and hope it helped
The expression 146 - 144 is equal to
O 142
1
14 10
Step-by-step explanation:
I am sure you mistyped something here and/or there is something missing.
because 146 - 144 = 2
and nothing in the answer options shows anything like it.
now, if the problem actually said for example
14×6 - 14×4
that could be expressed as
14×(6-4) = 14×2
and that could be the first answer option (also with missing multiplication symbol).
help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
x=-3
Step-by-step explanation:
-4(-2x+5)-5x+5=-24
8x-20-5x+5=-24
3x-15=-24
3x=-9
x=-3
I hope that this helped you!
Divide by rationalizing the denominator.
3+5i/10+3i
A. 25+47i/109
B. 60-18i/109
C. 100-30i/109
D. 45+41i/109
Answer:
D
Step-by-step explanation:
Multiply the numerator and denominator by the conjugate of the denominator.
Note that i² = - 1
The conjugate of 10 + 3i is 10 - 3i , then
[tex]\frac{(3+5i)(10-3i)}{(10+3i)(10-3i)}[/tex] ← Expand numerator/denominator using FOIL
= [tex]\frac{30-9i+50i-15i^2}{100-30i+30i-9i^2}[/tex] ← simplify
= [tex]\frac{30+41i+15}{100+9}[/tex]
= [tex]\frac{45+41i}{109}[/tex] → D
The difference between a number and 7 can be written as
Answer:
7-n
Step-by-step explanation:
The difference means to subtract the unknown number from 7.
Transformation is when a shape has been copied, which means that the shape has the same size, area, angles and side lengths. What does it mean when the shape has rotated
Answer:
I think it is called a rotation or reflection.
Step-by-step explanation:
If it costs $5.35 per day for a 5 day work week to ride the bus, and a weekly pass is $25, how much could a person save by buying the pass?
Answer:
$1.75
Step-by-step explanation:
basically we are comparing
5 daily passes vs. a weekly pass.
5 daily passes = 5×$5.35 = $26.75
a weekly pass = $25.00
so, the difference is 26.75 - 25 = $1.75
A sum of Rs 105 is divided into two parts.if two times the greater part is 15 less than three times the smaller part, find the parts of the sum.
Answer:
Step-by-step explanation:
Let the greater part = x
Smaller part = 105 - x
2*(greater part) = (3*smaller part) - 15
2*x = 3*(105 -x) - 15
Use distributive property
2x = 3*105 - 3*x - 15
2x = 315 - 3x - 15
2x = 300 - 3x
Add 3x to both sides
2x +3x = 300
5x = 300
Divide both sides by 5
x = 300/5
x =60
Smaller part = 105 - 60 = 45
Greater part = Rs. 60
Smaller part = Rs. 45
The length of a rectangle is three times its width. It the perimeter of the rectangle is 96m, find the length and breadth of the rectangle
Let the width, w = x m
So, according to the Question,
The length, l = 3x m
Perimeter of a rectangle = 2 (l + w) m
Perimeter of the rectangle = 96 m
It's equation will be,
2 (3x + x) m = 96 m
or, 4x m = 96/2 m
or, 4x m = 48 m
or, x m = 48/4 m
or, x m = 12 m
Therefore, the width and the length of the rectangle is 12 m and 3(12) m = 36 m respectively.