Answer:
i. 4∈C => False
ii. 5∈C => True
iii. A = B => False
iv. B=C => True
Step-by-step explanation:
Given sets are:
[tex]A = \{2,3,4\}\\B = \{2,5,6\}\\C = \{5,6,2\}\\D = \{6\}[/tex]
Lets look at the statements one by one.
i. 4∈C
This statement means that 4 is a member of set C. Looking at the members of set C, it can be concluded that the statement is wrong as C doesn't contain 4.
ii. 5∈C
This statement is true as 5 is a member of C.
iii. A=B
This statement states that set A is equal to set B. Two sets are said to be equal if there number of elements and members are same. Set A and Set B have different members so this statement is false.
iv. B=C
Set B and Set C have equal number of members and the members (5,6,2) are also same so the statement is true.
Hence,
i. 4∈C => False
ii. 5∈C => True
iii. A = B => False
iv. B=C => True
What decimal equivalent to 5/6
Answer:
0.83333333
Step-by-step explanation:
The 3 is repeating
Answer:
0.83333333...
Step-by-step explanation:
Solve each system of equations algebraically x-y=6 y=-1
Answer:
x-(-1)=6
-x=6
-x/-1 6/-1
x=-6
Answer:
Therefore, the solution of the system of equations will be:
[tex]x=5,\:y=-1[/tex]
Step-by-step explanation:
Given the system of equations
[tex]x-y=6;\:y=-1[/tex]
solving
[tex]\begin{bmatrix}x-y=6\\ y=-1\end{bmatrix}[/tex]
[tex]\mathrm{Subsititute\:}y=-1[/tex]
[tex]\begin{bmatrix}x-\left(-1\right)=6\end{bmatrix}[/tex]
[tex]\begin{bmatrix}x+1=6\end{bmatrix}[/tex]
Isolate x for [tex]x+1=6[/tex]
[tex]x+1=6[/tex]
[tex]x=5[/tex]
Therefore, the solution of the system of equations will be:
[tex]x=5,\:y=-1[/tex]
A positive number with divisors besides 1 and itself is called
Answer:
it is called a perfect number
A square and a rectangle have the same perimeter. The length of the rectangle is
4 in. less than twice the side of the square, and the width of the rectangle is 6 in.
less than the side of the square.
Find the perimeter of the square.
Rectangle:
l = 4 inch
b = 6 inch
Perimeter = 2(l + b)
= 2(4 + 6)
= 2(10)
= 20 inch.
Given that,
The perimeter of the rectangle = The perimeter of the square
20 inch = The perimeter of the square
How to do this like what’s the steps to get the answer???
Answer:
480^12
Step-by-step explanation:
When you're multiplying exponents with the same base, the simplest way is to add the two exponents:
480^8 * 480^4 =
480^(8+4) =
480^12
Then solve, but your question doesn't ask for that.
What number is a common factor of 54 and 66
Answer:
the common factor of 54 and 66 is 6
Step-by-step explanation:
Answer:
I think it would be 6.
Step-by-step explanation:
I googled it.
Function f is defined by the equation f(x)=x2
What is f(3)
How do you do this question?
Answer:
y= 4x -5 x^-1
Step-by-step explanation:
xy'+y=8x
y' + y/x =8
linear DE
integrating factor = e^∫1/x dx = x
y = 1/x ( ∫8x dx +C)
y= 1/x (4x^2 +C)
y= 4x + C x^-1
C is any constant.. in this case -5 is satisfying equation
The perimeter of a rectangle is 44 inches, and its area is 112 square inches. Find the length and width of the rectangle.
Answer:
14, 8
Step-by-step explanation:
Using the formulas
A= Length * Width (lw)
P=2(l+w)
l+w)
There are 2 solutions forl
l=P
4+1
4P2﹣16A=44
4+1
4·442﹣16·112=14in
l=P
4﹣1
4P2﹣16A=44
4﹣1
4·442﹣16·112=8in
Mark studied a group of 30 whales. If each whale weird approximately 3.8x10.5 pounds, find the total weight of all 30 whales. Express in Scientific notation.
Answer:
1.197 * 10^3 lbs
Step-by-step explanation:
3.8 * 10.5 = 39.9 lbs each
Now, we multiply 39.9 by 30, which is 1197 lbs in total
In scientific notation, 1197 is 1.197 * 10^3
I hope this helped, please mark Brainliest, thank you !!
Answer:
114 × 10 ^ 5
Step-by-step explanation:
30: Number of whales
380,000: weight of each whale
30 × 38,000 = 11,400,000 total weight
Scentific notation: Expressing large numbers in a smaller way so
114 × 10 exp 5
Halla la suma de 3, ocho veces un número, y tres veces el mismo número
Answer:
3 + 11x
Step-by-step explanation:
Nuestra ecuación será: 3 + 8x + 3x
No sabemos qué es x, así que simplemente sumamos términos semejantes y obtenemos 3 + 11x
Espero que esto haya ayudado, por favor marque lo más inteligente, ¡gracias!
What is the x-intercept of the graph of - x = 5?
Answer:
x=-5
Step-by-step explanation:
The x-intercept is x=-5
Answer:-5
Step-by-step explanation:If you draw out the graph, it would be a vertical line at the point -5. Since you are asking for the x intercept, it would be -5
In Jayce's favorite video game, he collects stars to earn points. Today, he collected 80 silver stars and earned 160 points. He also collected 30 gold stars and earned 150 points. How many more points per star does Jayce earn from gold stars?
Jayce earns 3 more points from gold stars than from silver stars.
What is the unitary method?The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.
Given that Jayce collected 80 silver stars and earned 160 points.
He collected 30 gold stars and earned 150 points.
Therefore,
The points per star Jayce earns from silver stars
160/80=2,
The points per star Jayce earns from gold stars
150/30=5
Hence, Jayce earns 3 more points from gold stars than silver stars.
To learn more about the unitary method, please visit the link given below;
https://brainly.com/question/23423168
#SPJ2
True or False
Unit rate is a ration with denominator 2 example 100words in 2 minutes
True
False
Answer:
The Answer Is True
Step-by-step explanation:
What the answer plz help fast? If you get it right i will mark you brainless ❤️
Answer:
You'll mark me brainless?! I shouldn't answer corectly then XD
The answer (keep in mind that i'm answering incorrectly) A, or B, or D, or E.
Do you see what I did there ;)
Step-by-step explanation:
May I have brainliest please :)
Answer:
c
Step-by-step explanation:
The completely factored form of z^5 + 4z^4 - 12z^3
Answer:
−108z 5−64z 3+3z 2−24z−384/6
Step-by-step explanation:i just looked it up.
Solve: 3x – 8 = 6(1 – 2x) + 16
Answer:
x=2
Step-by-step explanation:
3x-8=6-12x+16
3x+12x=22+8
15x=30
x=2
Answer:
x=2
Step-by-step explanation:
It's right bc I took the test and got it 100%
Use the following problem to answer questions 7 and 8. Carrie draws 5 cards simultaneously from a well-shuffled deck of 52 playing cards. 7. What is the probability that she chooses 3 spades and 2 cards that are not spades
Answer:
The probability that she chooses 3 spades and 2 cards that are not spades is
0.08154
Step-by-step explanation:
52 deck cards have 13 spades , 13 clubs , 13 diamond, 13 hearts
spades = 13
Non spades = 39
Selecting 3 spades = 13C3 (Using combination)
selecting 2 spades = 39C2
in total 5 cards are drawn = 52C5
Probability of drawing 5 cards (3spades+2 non spades)
=[tex]\frac{ 13C3*39C2}{52C5}[/tex] = 0.08154
A copy machine can print 480 copies every 4 minutes.
How many copies can it print in 10 minutes?
2) f(x) = 27x^6+ 1524x^3+125
Answer:
Step-by-step explanation:
Let x^3 = y
f(x) = 27(x^3)^2 + 1524(x^3) + 125
f(x) = 27 y^2 + 1524y + 125
You can now put this into the quadratic formula. When you do, you get
(y + 0.0821)(y+56.3623) = 0
So now you substitute x^3 into this
(x^3 + 0.0821)(x^3 + 56.3623)
x^3 + 0.0821 = 0
x^3 = - 0.0821
cuberoot x^3 = cube root 0.0821
x = - 0.4346
x^3 = - 56.3623
x = - 3.8341
it's a yes or no need help
Answer:
no
Step-by-step explanation:
HELP MEEEEEEEEEEEE WILL GIBE BRAINLISTTTTTTT
Answer:
b
Step-by-step explanation:
Answer:
The answer is C, 2/9
Step-by-step explanation:
Since there 18 marbles in total and 4 blue marbles, that makes the probability 4/18. Although, 4/18 has to be simplified, which is 2/9
1. a. Anita hadoſ a bag of fertilizer left. She used
of what was left. What question about Anitas
fertilizer can be answered by calculating !!!
Answer:
hello your question is incomplete below is the complete question
answer : what part of the bag of fertilizer left was used by Anita
Step-by-step explanation:
Anita had 1/2 bag of fertilizer left
and she used (3/4 of the fertilizer
that means she used ( 3/4 * 1/2 ) bag of fertilizer
hence the question about Anita's fertilizer that can be answered is ; what part of the bag of fertilizer left was used by Anita
Courtney makes 80 % 80%80, percent of the free throws she attempts. She often stays after practice to shoot sets of 10 1010 free throws. Assume that the results of free throws are independent from each other. What are the mean and standard deviation of the number of free throws she makes in each set of 10 1010?
Answer:
Mean: 8 free throws
Standard Deviation: 1.3 free throws
Step-by-step explanation:
This is a binomial random variable, so we can use the formula [tex]ux = np[/tex], where n is the number of trials, and p is the probability. Since we know both of these values, just plug it in for the mean. [tex]ux = .8*10 = 8[/tex]
For the standard deviation, we use the formula σ = [tex]\sqrt{np(1-p)}[/tex]. Since we know what np is, we can replace those 2, giving us [tex]\sqrt{8(1-p)}[/tex]. Again, p is our probability, so this gives us our final equation of [tex]\sqrt{8(1-.8)}[/tex], which simplifies to [tex]\sqrt{8(.2)}[/tex]. Using a calculator, we get 1.264, which is 1.3 rounded to the nearest tenth.
Hope this helped :)
Answer: Mean: 8
Standard Deviation: 1.3
Step-by-step explanation:
What is the eighth term of the arithmetic sequence? An=
10n – 14?
Answer:
A8 = 66 [8th term]
Step-by-step explanation:
Given the explicit arithmetic sequence An = -14 + 10n → -4 + 10(n-1)
To find the 8th term. An nth term is where n is n in the sequence. So substitute 8 for n, and simplify.
So A8 = -4 + 10(8-1) → -4 + 10(7) → -4 + 70 → 70 - 4 → 66.
The eighth term of the arithmetic sequence is 66.
Given that,
An = 10n - 14.Here we need to find out the eighth term of the arithmetic sequence.Here n = 8.Based on the above information, the calculation is as follows:
An = 10n - 14
= 10(8) - 14
= 80 - 14
= 66
Therefore we can conclude that the eighth term of the arithmetic sequence is 66.
Learn more: brainly.com/question/18109692
Solve 2x^2 - 3x = 12 using the quadratic formula.
A) x = 3/4+√105/4i, x = 3/4-√105/4i
B) x = 3/4+√87/4i, x = 3/4-√87/4i
C) x = 3/4 + √87/4, x = 3/4-√87/4
D) x = 3/4 + √105/4, x = 3/4-√105/4
Answer:
[tex]x = \frac{3}{4} + \frac{ \sqrt{105} }{4} \: \: , \: \: \: x = \frac{3}{4} - \frac{ \sqrt{105} }{4} \\ [/tex]
Step-by-step explanation:
2x² - 3x - 12 = 0
Using the quadratic formula which is
[tex]x = \frac{ - b \pm\sqrt{ {b}^{2} - 4ac} }{2a} \\ [/tex]
From the question
a = 2 , b = - 3 , c = - 12
So we have
[tex]x = \frac{ - - 3\pm \sqrt{ ({ - 3})^{2} - 4(2)( - 12)} }{2(2)} \\ = \frac{3\pm \sqrt{9 + 96} }{4} \\ = \frac{3\pm \sqrt{105} }{4} \: \: \: \: \: \: [/tex]
Separate the solutions
We have the final answer as
[tex]x = \frac{3}{4} + \frac{ \sqrt{105} }{4} \: \: , \: \: \: x = \frac{3}{4} - \frac{ \sqrt{105} }{4} \\ [/tex]
Hope this helps you
Brainliest to right answer
Answer:
the answer is A)no solutions
(Please help, Multiple Choice) Find the value of X
Answer:
X=19
Step-by-step explanation:
7x-8=6x+11
x=19
Michaela solved a system of linear equations that had no solution. One of the equations was x + y = 5. The other equation had a y-intercept of −2. What was the other equation?
Answer:
We have a system of equations with no solutions.
One of the equations is:
x + y = 5.
Isolating y in one side of the equation, we get:
y = 5 - x
And the other equation has an y-intercept of -2, the equation can be written as:
y = a*x - 2.
Then the system will be:
y = -1*x + 5
y = a*x - 2
The solution of a system of equations is a point where the graphs of both functions intersect.
Then if both of these lines are parallel, the lines will never intersect, then the second equation must be parallel to the first one.
And two lines are parallel if they have the same slope.
Then the other equation will be:
y = -x - 2
Jane has 34 candles leftover from the last craft show and Brianna
has 2 candles. They are making more candles for the next show.
Jane makes 24 candles per hour and Brianna makes 32 candles per
hour. They are also going to use the candles left over from the last
show and want to have the same number of candles at their stalls for
this show. Let h represent the number of hours they need to work
for this.
Answer:
4 hours
Step-by-step explanation:
Given that the number of leftover candles for Jane = 34
and the number of leftover candles for Brianna = 2
Rate of candle making for Jane = 24 candles/ hour
Rate of candle making for Jane = 32 candles/ hour
As they work for h hours to make candles.
So, in h hours, the number of new candles made by Jane = 24h candles
For Jane, the total number of candles after h houres, including the leftover candles [tex]= 24h+34 \cdots(i)[/tex]
Similarly, in h hours, the number of new candles made by Brianna = 32h candles
For Brianna, the total number of candles after h houres, including the leftover candles [tex]= 32h+2 \cdots(ii).[/tex]
As they want to have the same number of candles at their stalls, so equating the numbers of candles from equations (i) and (ii), we have
[tex]24h+34=32h+2 \\\\\Rightarrow 32h-24h=34-2 \\\\\Rightarrow 8h=32\\\\[/tex]
[tex]\Rightarrow h=32/8=4[/tex] hours.
Hence, both need to work for 4 hours to have the same number of candles.