Answer:
O {}, {Lennon}, {McCartney}, {Lennon, McCartney}
Step-by-step explanation:
Both the empty set and the total set are subsets of the given set.
Hence there are 4 subsets.
Answer:
O {}, {Lennon}, {McCartney}, {Lennon, McCartney}
Step-by-step explanation:
A TV show has 26 episodes. Due to the lack of time, you can onlywatch 5 of them. However, in order to get a gist of what the showis about, you do not want to watch any two consecutive episodes.How many selections of 5 episodes are there with no two consecutiveepisodes chosen? Assuming that the order of selection is irrelevant.(Hint:this is a Stars and Bars problem)
Answer:
Step-by-step explanation:
Recall that: The number of combination to select any k consecutive element from n consecutive term is given by the equation [tex]^{n-k+1}C_k[/tex]
[tex]= \begin {pmatrix} ^{n-k+1}_{k} \end {pmatrix}[/tex]
where:
n = 26
k = 5
[tex]^{n-k+1}C_k= \begin {pmatrix} ^{26-5+1}_{5} \end {pmatrix}[/tex]
[tex]^{n-k+1}C_k= \begin {pmatrix} ^{22}_{5} \end {pmatrix}[/tex]
[tex]^{n-k+1}C_k= \dfrac{22!}{5!(22-5)!}[/tex]
[tex]^{n-k+1}C_k= \dfrac{22!}{5!(17)!}[/tex]
[tex]\mathbf{^{n-k+1}C_k=26334}[/tex]
Therefore, there are 26334 selection of 5 episodes with no two consecutive episodes chosen
A car sharing service offers a membership plan with a $50 per month fee that includes 10 hours of driving each month and charges $9 for each additional hour
(A) Write a piecewise definition of the cost F(x) for a month in which a member uses a car for x hours
(B) Graph F(x) for 0 < x s 15
(C) Find lim x--->10 F(x), lim x--->10F(x), and lim x--->10F(x), which- ever exist.
Answer:
A) F(x) = 50 + ( x - 10 )*9
B) Graph
C) lim ( x ⇒ 10) F(x) = 50
Step-by-step explanation:
A) F(x) = 50 + ( x - 10 )*9 since the first 10 hours are included in initial fee
B) In Annex
C) lim (x ⇒ 10) F(x) = 50 + ( 10 -10)*9
lim ( x ⇒ 10) F(x) = 50 + 0
lim ( x ⇒ 10) F(x) = 50
Solve for j if aj+k=v
Answer:
j=v-k/a
Step-by-step explanation:
It's like order of operations backwards. So first, you would get rid of the k, by subtracting it from both sides. Then, to isolate j you would divide both sides by a.
The sign of the leading coefficient for the polynomial equation of the graph is negative positive zero
Answer:
The sign of the leading coefficient for the polynomial equation of the graph is NEGATIVE
Hope this helps!
Answer: 1 turning point
Step-by-step explanation:
A spherical balloon is inflated with gas at a rate of 500 cubic centimeters per minute. Find the rates of change of the radius when r = 70 centimeters and r = 95 centimeters.
Answer:
for r= 70 cm
the rate is 0.008cm/s
for r=95cm
the rate= 0.0044cm/s
Step-by-step explanation:
kindly find attached a rough sketch of the circle and a detailed solution of the problem.
Given data
rate dv/dt=500cm^3
r=70cm
r=95cm
Rachel is recording the temperature at her school every morning this week. On Monday, the temperature was 5°C. Part A: On Wednesday, Rachel calculated that the temperature was 13 degrees colder than Monday. What temperature did Rachel record on Wednesday? Part B: On Friday, Rachel calculated that the temperature was 4 degrees warmer than Wednesday. What temperature did Rachel record on Friday?
Answer:
Part A: -8
Part B: -4
Step-by-step explanation:
[tex]5-13=-8[/tex]
[tex]-8+4=-4[/tex]
10a^2b^0 for a=–3, b=–8
Answer:
90Step-by-step explanation:
Substitute a = -3 and b = -8 to the expression 10a²b⁰:
10(-3)²(-8)⁰ = 10(9)(1) = 90
a⁰ = 1 for any real number
Answer:
90
Step-by-step explanation:
10a^2b^0
Let a=–3, b=–8
10 (-3)^2 ( -8)^0
10 * 9 *1
90
what is Pi? explain.
Answer:
Pi is a irrational number
Step-by-step explanation:
Pi is an irrational number because it never ends it keeps going on and one.
Pi is also 3.141592654.............. never ends
if there are 7 fish and 3 drown how many are left?
Answer:
7
Step-by-step explanation:
there are 7 left because fish can't drown
The elevation of a sea animal is -20 what is elevations tat are greater than the elevation of the sea animal?
Answer:
20
Step-by-step explanation:
Answer:
-10, 0, 10, 20, 30, etc.
Step-by-step explanation:
There are multiple elevations greater than -20
If you add +10 you will get closer to the positives. Any positive is greater than -20, EVEN 0!
what is 4/6+2/3.?(these are fractions, you're just adding fractions)
Answer:
4/3
Step-by-step explanation:
Multiply 2 by 2, and get 4, then we multiply 3 by 2 and get 6.
Since our denominators match, we can add the numerators. 4 + 4 = 8. That gives us the sum, which is 8/6. Then you divide by 2. So 8/6 / 2 gives you 4/3.
Answer:
4/3 or 1 1/3
Step-by-step explanation:
1. 4/6 + 2/3
2. 4/6 + 4/6 You have to find the LCM (least common multiple) of the two denominators. In this case it would be 6. You have to multiply 3 by 2 to get 6. What you do to the bottom you also do to the top so you have to also multiply the numerator (2) by 2.
3. 4/3 or 1 1/3 Afterward, you just have to add straight across without changing the denominator and then if you need to simplify you simplify. Without simplifying, you would get 8/6, but, most teachers will mark it as wrong if you don't simplify. You can then change the improper fraction into a mixed number depending on what your teacher wants.
Which of these is the triangle proportionality theorem? First person to answer CORRECTLY gets brainliest
Answer: A.
Step-by-step explanation: Brainliest plz
13
In the figure shown below, if line mis parallel to line n, then find the value of x. (This is a 2 part question.)
m
(2x-10)
(65 - x)
Part A
Write the equation to find the value of x. (DO NOT find x, just write the equation.)
(2x - 10) (65 - x)
Part B
What is the value of x?
Y
Answer:
2x-10 = 65-xStep-by-step explanation:
just add up both alternate internal angles as they are both equal
so, the equation is: 2x-10 = 65-x
Answer:
The right equation will be 2x - 10 = 65 - x (you were wrong lol)
Step-by-step explanation:
We have: 2x - 10 = 65 - x
=> 2x - 10 + x = 65
=> 3x = 65 + 10 = 75
=> x = 75/3 = 25
P/S: After some little chats with the others, this might be wrong :(
HELP ME PLEASE IM ALMOST TO 100
Answer:
= 3/4
Step-by-step explanation:
Find 2 points on the graph
(2,3) and (6,6)
Using the slope formula
m = (y2-y1)/(x2-x1)
= ( 6-3)/(6-2)
= 3/4
2x2 + x + 5 = 0 i don’t know how to do this please help
9514 1404 393
Answer:
x = -0.25+√2.4375i or -0.25-√2.4375i
Step-by-step explanation:
The quadratic formula works for this. The quadratic equation ...
ax² +bx +c = 0
has solutions given by the quadratic formula:
[tex]x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]
Your equation ...
2x² +x +5 = 0
has coefficients a=2, b=1, c=5, so the quadratic formula tells you the solutions are ...
[tex]x=\dfrac{-1\pm\sqrt{1^2-4\cdot2\cdot5}}{2\cdot2}=\dfrac{-1\pm\sqrt{-39}}{4}\\\\x=\left\{-\dfrac{1}{4}+\dfrac{\sqrt{39}}{4}i, -\dfrac{1}{4}-\dfrac{\sqrt{39}}{4}i\right\}[/tex]
The decimal equivalents are ...
x = -0.25+√2.4375i or -0.25-√2.4375i . . . . . . the 'i' is outside the radical
Is the square root of 14 +6.2 less than 3 pi - 8.2?
Answer:
No. √14 + 6.2 is more than 3π - 8.2
Step-by-step explanation:
√14 + 6.2
√20.2
≈ 4.494
π ≈ 3.14159
3(3.14159) - 8.2
9.42577 - 8.2
1.22477
Therefore, the answer is no.
find the value of x
The answer is 150.
I need to show my work.
THANKSSSS
Answer:
x = 150
Step-by-step explanation:
We know a circle is 360°, so the angles must add up to 60°.
Step 1: Set up equation
x - 120 + x - 120 = 60
Step 2: Solve for x
Combine like terms: 2x - 240 = 60Add 240 on both sides: 2x = 300Divide both sides by 2: x = 150Step 3: Check
Plug in x to verify it is correct.
150 - 120 = 30°
150 - 120 = 30°
30° + 30° = 60°
60° + 300° = 360°
If 24 divided by 4 is 6 what is the remainder?
The remainder from the given division is 0.
Given that, 24 divided by 4 is 6.
The division is one of the basic arithmetic operations in math in which a larger number is broken down into smaller groups having the same number of items.
Here,
4|24|6
24
______
0
So, the remainder is 0.
Therefore, the remainder from the given division is 0.
To learn more about the division visit:
https://brainly.com/question/1575906.
#SPJ6
HELP! Will be giving branliest!!!!!!
A is the right anwer to your Question because of the Hours and weeks
1. You are eating on a Tootsie Roll Lollipop that is in the shape of a sphere. It is giving up volume at a steady rate of 0.25 in3 /min. How fast will the radius be decreasing when the Tootsie Roll Pop is .75 inches across?
Answer:
Step-by-step explanation:
Since the Tootsie Roll lollipop is a sphere
volume of sphere= [tex]\frac{4}{3}piR^3[/tex] = -0.25 [tex]in^3/min[/tex]
the negative sign indicates that the volume is decreasing
upon differentiating
as the diameter given is =0.75 so radius will be = 0.375
[tex]dV/dt = 4piR^2*dR/dt[/tex]
so [tex]dR/dt = 0.25/4*3.14 *(0.375)^2[/tex]
So the radius is decreasing at the rate of dR/dt= 0.142in/min
Quickkkk!!!!!!!! Help
Answer:
2143
Step-by-step explanation:
f(x) = x^3- 9x
What is the average rate of change of f over the interval [1, 6]
Answer:
Step-by-step explanation:
[tex]\frac{f(b)-f(a)}{b-a}[/tex] This is the formula for the average rate of change
over the interval (a, b)
a and b are x values
f(a) ad f(b) think of them as y values
Start calculating f(a) and f(b) a=1 b=6
replace all x's in formula with a, (1)
f(1)=1³-9(1) = 1-9= -8 f(1) = -8
Now do : b (6)
f(6) = 6³ - 9 (6) = 216-54=162 f(6) = 162
now plug everything into your equation
[tex]\frac{f(6)-f(1)}{6-1} =\frac{162- (-8)}{5} =\frac{170}{5} =34[/tex] average rate of change.
notice the 162 - (-8) In math there is no subtraction, and you would change it to + and when you do that you much change the sign of the next value making -8 a +8.
Hope this helps. Good luck!
(4.3 x 10^-3)(2 x 10^-2) in standard form
Answer:
8.6•10^-5 or 0.000086
If a histogram of a sample of men's ages is skewed, what do you expect to see in the normal quantile plot?
Answer: Points are not following a straight-line pattern
Step-by-step explanation:
Histograms are used to show the distribution of a dataset.
If the histogram is skewed, then it means that the points do not follow a straight-line pattern, on the normal quantile plot.
From the question, we understand that:
The histogram is skewed
This means that:
The data points of the histogram are either concentrated on the right or on the left-hand side of the histogram.
The above highlight mean that:
The points on the histogram are unequal.
Hence, you would see that the points do not follow a straight line pattern on the normal quantile plot.
Read more about normal quantile plot at:
https://brainly.com/question/5678453
What is the area of a rectangle with sides measuring 2x+3 and 3x-1 feet
What is the answer tho
Answer:
to?
Step-by-step explanation:
One of the dog treats in Shelley’s shop is 8 inches long and 3.2 inches wide. She wants to make a miniature version that has proportional dimensions. If the miniature treat will be 3 inches long, how wide should it be?
Answer:
1.2in
Step-by-step explanation:
Answer:
(1) 1.2 inches
The midpoint of xy is located at the origin
Answer:
Is there supposed to be an image?
Step-by-step explanation:
if loga81=4, find value of a?
Answer:
[tex]\huge\boxed{a=4}[/tex]
Step-by-step explanation:
[tex]\log_xy=z\iff x^z=y\\\\\text{for}\ x\neq1\ \wedge\ x>0\ \wedge\ y>0\\==================\\\\\log_a81=4\iff a^4=81\\\\a^4=\underbrace{3\cdot3\cdot3\cdot3}_{=81}\\\\a^4=3^4\Rightarrow a=3[/tex]
v (t) = 32,000 (0.84)
Find the initial value of the car and the value after 11 years.
Round your answers to the nearest dollar as necessary
Answer:
c
Step-by-step explanation:
c because