(b) If n(U)= 300, n(M) = 150, n(T) = 144 and n( MT)= 33. Find the value of n(MUT). (ii) Present the above information in a Venn diagram.
Answers
Answer:
Step-by-step explanation:
n(M ∪ T) = n(M) + n(T) - n(M∩T)
= 150 + 144 - 33
= 294 - 33
= 261
Related Questions
Is 8.888... a rational number?
Answers
=================================================
Explanation:
Since the decimal repeats itself infinitely (the 8s go on forever), this is one sign that we have a rational number.
Rational numbers always have some kind of infinitely repeating pattern when we convert them to decimal form.
---------------------
Extra info (optional section)
If you want to determine what this number is equal to, then let's say that
x = 8.8888...
Multiplying both sides by 10 gets us
10x = 88.888....
Now we'll subtract the two equations
The 10x-x becomes 9x while the 88.8888...-8.8888... turns into 80
We're left with 9x = 80 which solves to x = 80/9
Therefore, 80/9 = 8.8888.... showing that we have a rational number
Any rational number is basically a fraction of two whole numbers.
how do you solve for(−5)^5(−5)^−6
Answers
Answer:
-1/5
Step-by-step explanation:
We know that a^b * a^c = a^(b+c)
(−5)^5(−5)^−6
(-5) ^(5+-6)
(-5)^-1
We know that a^-b = 1/a^b
1/(-5)^1
1/-5
-1/5
On a piece of paper graph
f(x) = {-1 if -1 <= x < 0}
{ -2 if 0 <= x < 0}
{ -3 if 1 <= x < 2
Answers
In this question, a piece-wise function is asked to be graphed.
Piece-wise function:
A piece-wise function is a function that has different definitions, depending on the input.
In this question, the function has three different definitions:
For x between -1(inclusive) and 0, y takes a constant value of -1.
For x between 0(inclusive) and 1, y takes a constant value of -2.
For x between 1(inclusive) and 2, y takes a constant value of -3.
Additionally:
At the inclusive points, the interval is circled, and thus, the graphic is given at the end of this answer.
For another example of the graphic of a piece-wise function, you can check https://brainly.com/question/16855064
Answer:
Step-by-step explanation:
1. (1, 3); (2, 3)
2. (0, 0) (1, 0)
3. (-1, 1) (0,0)
[tex](32)^{1/5}[/tex]
Answers
Answer:
2Step-by-step explanation:
[tex] {32}^{ \frac{1}{5} } [/tex]
[tex] = \sqrt[5]{32} [/tex]
[tex] = \sqrt[5]{2 \times 2 \times 2 \times 2 \times 2} [/tex]
= 2 (Ans)
Marking Brainliest. Can someone please how to do this with a fairly simple explanation? I'm not sure what to do.
Answers
Explanation:
In the LS column, you'll have these steps
3x - 1
3*4 - 1
12 - 1
11
Effectively, we replaced x with 4 and then simplified using PEMDAS.
And in the RS column, you'll have these steps
x + 7
4 + 7
11
We get the same thing at the bottom of each column. This shows that we end up with 11 = 11 after simplifying both sides. Therefore, we've confirmed that x = 4 is the solution to 3x - 1 = x + 7
I NEED HELP ASAP ITS FOR MY SCHOOL WORK AND I CANT FIGURE THIS OUT
Answers
Answer:
28.
megabyte- [tex]10^6[/tex]
terabyte- [tex]10^{12}[/tex]
gigabyte- [tex]10^9[/tex]
For [tex]10^6, 10^9, 10^{12},[/tex] and [tex]10^{15}[/tex], put the 1, and add the exponent # of 0s.
29.
The cube is 6×6×6 or 216 in. It would be 6³, because the 6 is multiplied 3 times.
30.
a. 10
b. 5120
I hope this helps!
pls ❤ and mark brainliest pls!
Answer:
Question 28
megabyte: 10⁶
terabyte: 10¹²
gigabyte: 10⁹
Question 29
6³
Question 30
a. 20
b. 5,120
The circumference of a circle is 14 meters. Which of the following represents the area of the circle
Answers
Answer:
A = 49/pi
Step-by-step explanation:
C = 2 * pi *r
14 = 2 * pi *r
Divide each side by 2 pi
14/2pi = r
7/pi = r
The area is given by
A = pi r^2
A = pi ( 7/ pi)^2
A = pi * 49 / pi^2
A = 49/pi
Answer:
[tex]area = {15.61m}^{2} [/tex]
explanation is attached to the picture
Hope this helps you
Please help me ill give brainliest!!
Answers
Answer:
3744.64
Step-by-step explanation:
To know the answer to this question you need to know the formulas to find the volume of the cylinder and the rectangular prism. The volume of a cylinder is pi*r^2*h while the volume of the rectangular prism is l*w*h. The cylinder is 1808.64 cubic in while the rectangular prism is 1936 cubic. Together, they are 3744.64 cubic in.
Answer:
cylinder= A=πr²h
=3.14×4²×9
=452.16
rectangle=A=l×w×h
=19×11×11
=2299
total area=452.16+2299
=2751.16
Step-by-step explanation:
please HELP ME!!! (16 POINTS) due today :)))
Answers
Answer:
Step-by-step explanation:
I'm not sure what the question is asking, but if you mean the angles in the blue lines
First one, we know that the full length is 90, and it has gacen us 80, so the angle would be 10
Second one, we see that the angle is still 90, and since the given degree is 30, the unkown angle would be 60
Third one, the given angle is 75 so 90-75=15.
The answers would be 10, 60, and 15.
4. 170*
5. 330*
6. 285*
Step-by-step explanation:
4. Explanation: 90* is added by the other angle in the right + 80* for the same angle
90* + 80* = 170*
————————————————————
5. Explanation: we are trying to find out the total among every angle measure except for 30.
Total angle measure = 360*
360 - 30 = 330*
—————————————————————
6. Explanation: 360 - 75 = 285*
how many line of symmetry is this figure
Answers
Answer:
There are sixteen lines.
A circle is represented by the equation below:
(x − 9)2 + (y + 8)2 = 16
Which statement is true?
a) The circle is centered at (−9, 8) and has a radius of 8.
b) The circle is centered at (9, −8) and has a diameter of 8.
c) The circle is centered at (9, −8) and has a radius of 8.
d) The circle is centered at (−9, 8) and has a diameter of 8.
Answers
Answer:
The center is (9,-8) and the diameter is 8
Step-by-step explanation:
(x − 9)^2 + (y + 8)^2 = 16
A circle is in the form
(x − h)^2 + (y -k)^2 = r^2 where (h,k) is the center and r is the radius
(x − 9)^2 + (y - -8)^2 = 4^2
The center is (9,-8) and the radius is 4
The diameter is 2 times the radius so the diameter is 8
The center is (9,-8) and the diameter is 8
If a school camp has enough food for 150 students over 5 days
How long would the food last for is only 100 students are there
Answers
Answer:
It is over 7 days
hope it helps
what number is smallest 2,-3,-10,-5,-2-1
Answers
Answer:
2,-3,-10,-5,-2-1The smallest number is -10
Answer:
it's -10
Step-by-step explanation:
Well, if you look at the number line, numbers start from the left going to the right and the ones before the 0 ( the negative ones) are the smaller ones. And here if you arrange them from the smallest, -10 is the smallest and 2 is the biggest.
hope this helps
Answer ASAP please!
Answers
Answer:
B
SOH-CAH-TOA
Sin= opp/hyp
Step-by-step explanation:
Maya just bought a refrigerator for $642. She paid $160.40 in a down payment and will pay the rest in 4 equal installments. How much does she need to pay for each installment?
Answers
Answer:
120.40 per payment
Step-by-step explanation:
Subtract the down payment
642 - 160.40
481.60
Divide this by 4
481.60 / 4
120.40
Sweatshirts at the school store cost $30. They currently sell about 4 shirts per month. They have decided to decrease the price of the shirts. They found the for each each $1.50 decrease, they will sell 2 more shirts per month. How many decreases in prices will give the max value?
A. 30
B. 9
C. 363
D. 16.50
Answers
for every $2 increase in price, there will be a drop of 60 sales a year.
What price they should charge for each shirt to maximize the revenue?
:
Let x = no. of $2 increases
also
Let x = no. 60 shirt sales reductions
:
Price = (20 + 2x)
No. of shirts = (1200 - 60x)
:
Revenue = price * no. of shirts sold, therefore:
R = (20 + 2x)*(1200 - 60x)
FOIL
R = 24000 - 1200x + 2400x - 120x^2
Arranges as a quadratic equation
R = -120x^2 + 1200x + 24000
Find the axis of symmetry to find the price for max revenue: x = -b/(2a)
In this equation; a=-120; b=1200
x = %28-1200%29%2F%282%2A-120%29
x = %28-1200%29%2F%28-240%29
x = +5 ea $2 increases
and
5*60 = 300 reduction in shirt sales:
:
Price for max sales; 20 +2(5) = $30, will sell 1200 - 300 = 900 shirts
:
Max revenue: 30 * 900 = $27,000
A cylinder has a volume of 132x cubic feet and height of 4 feet. What is the area of the base?
* Square feet
Answers
Answer:
33π square feet
Step-by-step explanation:
Volume = base area × height
132π = base area × 4
or, base area = 132π/4
or, base area = 33π
Answered by GAUTHMATH
8. The value of [3 - 4 * (3 - 4) ^ 4] ^ 3 is
a) 1
b) -1
c)0
d) 7
help me please
Answers
Answer:
-1
Step-by-step explanation:
[3-4(-1)^4]^3
=>(3-4)^3
=>(-1)^3
=>-1
Answer From Gauth Math
Answer:
-1
Step-by-step explanation:
[tex][3-4*(3-4)^4]^3[/tex]
[tex](3-4)^4= 1\\Therefore, [3-4*1]^3= -1^3\\So, -1^3= -1\\\\[/tex]
Cube of any negative integer will be negative, or, a negative integer raised to any odd number will be negative. Likewise, a negative integer raised to an even number will be positive.
50 points and brainly
Trinas you company charges $0.86 per pound to ship toys. Part A: Write an equation to determine the totals cost, c, to ship p pounds of toys. Use your equation to determine the cost of shipping 2 pounds of toys. Path B: if the company reduces the cost to ship toys by $0.05 per pound, write an equation to determine the total cost, c, to ship p pounds of toys with the reduced cost.
Answers
Answer:
Part A:
c = .86*p
c =1.72 for 2 lbs
Part B:
c =.81p
Step-by-step explanation:
Part A:
Total cost = cost per pound * number of pounds
c = .86*p
Let p = 2
c = .86*2
c =1.72
Part B:
Total cost = cost per pound * number of pounds
c = .(.86-.05)*p
c =.81p
3. In a school, there are 450 students in total. If 2⁄3 of the total students are boys, find the number of girls in the school. What percent of the students are boys? Show your work or explain how you calculated your answer
Answers
Answer:
150 girls
66.7%
Step-by-step explanation:
2/3 × 450 = 300 boys
450 - 300 =150 girls
second question:
300/450 × 100
=66.66666667
=66.7% Students are boys
There are 150 girls in the school, and approximately 66.67% of the students are boys.
What percent of the students are boyslet's break this down step by step:
1. Total number of students: 450
2. Boys make up 2/3 of the total students.
Number of boys = (2/3) * 450
= 300 boys
3. To find the number of girls, subtract the number of boys from the total:
Number of girls = Total students - Number of boys
= 450 - 300
= 150 girls
Now, let's calculate the percentage of students that are boys:
Percentage of boys = (Number of boys / Total students) * 100
= (300 / 450) * 100
= 66.67%
So, there are 150 girls in the school, and approximately 66.67% of the students are boys.
Learn more about percentage at https://brainly.com/question/24304697
#SPJ3
(3x)2 – 7y2, when x = 3 and y = 2
Answers
[tex]3 \times 3 \times 2 - 7 \times 2 \times 2 \\ 18 - 28 \\ - 10[/tex]
Answer:
115
Step-by-step explanation:
(3x)^2 – 7y^2
Plug in:
(3×3)^2 – 7×2^2
9^2 - 14^2
81 - 196
115
Hope this helped.
is 1/5 a rational or irrational number (20 points pls help)
Answers
Answer:
rational
Step-by-step explanation:
Answer:
it's Rational Number
Step-by-step explanation:
since each integer can't be written in the fraction form or for this example it would be thus 5 so it would be a rational number
Find the missing value.
Hint: Use the number line to find the missing value.
了。
-(-2)
{
开
-10
-5
→
15
0
5
10
-15
Answers
Answer:
-5
Step-by-step explanation:
-5 -(-2)
=-7
I hope this helped!2.1: Solve the one step equation
9. 70 = -5x
10. x4 = 36
11. 7x = -54
Answers
Answer:
-14, 9 and - 54/7
Step-by-step explanation:
70=-5x, x=-144x=36, x=97x=-54, x=-54/7What is the difference between 15% of 7 and of 7?
Answers
For a given sample size in hypothesis testing, a.Type II error will not be effected by Type I error. b.the smaller the Type I error, the larger the Type II error will be. c.the smaller the Type I error, the smaller the Type II error will be. d.the sum of Type I and Type II errors must equal to 1.
Answers
Answer:
B.the smaller the Type I error, the larger the Type II error will be
Step-by-step explanation:
In hypothesis, type I error is when we reject the null hypothesis even though it's true while type II error is when we accept the null hypothesis even though it is false.
Now, the type I error is based on the significance level alpha. While the type II error is based on the statistical power beta.
This means that the significance level will affect the statistical power and we know that the significance level is inversely related to the Type II error rate based on beta.
Therefore, we can conclude that;
Having a lower significance level will lead to a decrease in the risk of getting a Type I error, however, it will increase the possibility of having a Type II error.
Thus, option B is correct.
This equation shows how the total number of necklaces Denise owns is related to the amount of money she spends on additional necklaces.
n = d + 74
The variable d represents the amount of money she spends on additional necklaces, and the variable n represents the total number of necklaces she owns. With $16 to spend on new necklaces, how many total necklaces can Denise own?
Answers
Answer:
16+74
Step-by-step explanation:
substitute 16 into the equation
d=16 so n= 16+74
please mark brainliest
In right triangle ABC, if AC = 5/13 and AB = 1, what is the length of BC?
Answers
Answer:
BC = [tex]\frac{12}{13}[/tex]
Step-by-step explanation:
Using Pythagoras' identity in the right triangle
BC² + AC² = AB²
BC² + ([tex]\frac{5}{13}[/tex] )² = 1²
BC² + [tex]\frac{25}{169}[/tex] = 1 ( subtract [tex]\frac{25}{169}[/tex] from both sides )
BC² = [tex]\frac{169}{169}[/tex] - [tex]\frac{25}{169}[/tex] = [tex]\frac{144}{169}[/tex] ( take square root of both sides )
BC = [tex]\sqrt{\frac{144}{169} }[/tex] = [tex]\frac{12}{13}[/tex]
PLEASE HELP!!!!!!!
Which terms are like terms in the following expression? 3x + 3xy – 2x + 5y + 5x2
A. 3x and -2x
B. 3x, -2x and 5x2
C. 3x, 3xy, -2x and 5y
D. All terms are alike.
Answers
Answer:
C
Step-by-step explanation:
What is the range of the function?
Answers
Answer:
all real numbers greater than or equal to 11
