Given:
The set is:
[tex]R=\{a,b,c\}[/tex]
To find:
The number of subsets in set R.
Solution:
Formula for number of subsets in a set of [tex]n[/tex] elements is
Number of subsets = [tex]2^n[/tex] ...(i)
We have,
[tex]R=\{a,b,c\}[/tex]
Here, the number of elements are 3. Putting [tex]n=3[/tex] in (i), we get
Number of subsets = [tex]2^3[/tex]
= [tex]8[/tex]
Therefore, the number of subsets is 8 and the subsets are [tex]\phi,\{a\},\{b\},\{c\},\{a,b\},\{a,c\},\{b,c\}[/tex] and [tex]\{a, b, c\}[/tex].
Evaluate 5z − xy when x= 5, y= 6, and z=11
what is the volume of the conical paper cup? (image included) i will mark the best answer as brainliest :)
Formula for cone = 1/3 x cross section x h
= 1/3 x 9 π x 7
= 1/3 x 62.9999999
= 21 π
ILL GIVE BRAINLIEST!!
Answer:
H. 0.6
Step-by-step explanation:
f(x)= 2x +6 , vertical shrink by a factor of 1/2
Answer:
g(x) = x+3.
Step-by-step explanation:
i hope this helps :D
When a function is shrunk vertically, the function has undergone a form of transformation.
The resulting function when [tex]f(x) = 2x + 6[/tex] vertically shrink by 1/2 is [tex]f'(x) = x + 3[/tex]
Given that:
[tex]f(x) = 2x + 6[/tex]
[tex]k = \frac 12[/tex] --- shrink factor
When a function is shrunk vertically, the rule of transformation is:
[tex](x,y) \to (x,ky)[/tex]
So, we have:
[tex]f'(x) = k f(x)[/tex]
The new function becomes
[tex]f'(x) = \frac 12 \times (2x + 6)[/tex]
[tex]f'(x) = x + 3[/tex]
Hence, when [tex]f(x) = 2x + 6[/tex] is vertically shrunk by 1/2, the new function is [tex]f'(x) = x + 3[/tex]
Read more about transformations at:
https://brainly.com/question/11709244
Please answer correct its not 9 units
plsss someone help i need help with this
Answer:
-3/5 + 7 = 32/5 or 6.451 + -19= 32-321 + -85= -406Step-by-step explanation:
What are rational numbers? Why is it important to study rational numbers?
Answer:
Any number that can be written as a fraction with integers is called a rational number . For example, 17 and −34 are rational numbers. (Note that there is more than one way to write the same rational number as a ratio of integers. For example, 17 and 214 represent the same rational number.)
In ADEF, the measure of ZF=90°, EF = 2.3 feet, and FD = 2.9 feet. Find the measure
of ZD to the nearest tenth of a degree.
Answer:38.4
Step-by-step explanation:
a 10-kg object traveling at 6 m/s collides head on with a 2-kg object at rest. What is the total momentum of the system after the collision?
Answer:
M1V1i+M2V2i=(M1 + M2)vf
(10)(6)+(2)(0)=(10+2)vf
60=12vf
60÷12 =12vf÷12
5=vf
::Vf=5ms-1 to the right
what is the remainder for the synthetic division problem below?
2/ 2 -4 -9 1
Answer:
your answer, I think, is B. -1
What is the probability that a number selected at random from interfere 3 to 30 inclusive is a multiple of 3
Answer:
5/14 is the probablity
byeeeeeeeeeeee
Given the point and its image, determine the scale factor. B(2,5) B'(1,2.5) 0 -1/2 02 0-2 O 1/2
Given:
The point is B(2,5) and its image is B'(1,2.5).
To find:
The scale factor.
Solution:
If a figure is dilated by the scale factor k and (0,0) is the center of then the scale factor is defined as
[tex]k=\dfrac{\text{x-coordinate of the point on image}}{\text{x-coordinate of the corresponding point on the original figure}}[/tex]
x-coordinate of point B' is 1 and the x-coordinate of point B is 2. So, the scale factor is
[tex]k=\dfrac{1}{2}[/tex]
Therefore, the scale factor is [tex]\dfrac{1}{2}[/tex] and the correct option is D.
answer :
glide reflection
translation
reflection
rotation
Select the correct answer.
What are the zeros of this quadratic function?
f(x) = (x − 7)(x + 8)
A.
x = 0 and x = 7
B.
x = -7 and x = 8
C.
x = 7 and x = -8
D.
x = 0 and x = -8
Answer:
b because I am close to being done it's completely correct
The first figure is dilated to form the second figure.
Which statement is true?
The scale factor is 0.4.
The scale factor is 0.9.
The scale factor is 2.1.
The scale factor is 2.5.
Answer:
The scale factor is 2.5
Step-by-step explanation:
took k-12 test
When a shape is dilated, the size of the shape changes
The true statement is (d) The scale factor is 2.5.
What is dilation?Dilation involves changing the size of a shape or figure
How to determine the scale factorIn figure A, we have:
Length = 0.6
In figure B, we have:
Length =1.5
The scale factor is then calculated as:
[tex]k = \frac{1.5}{0.6}[/tex]
Divide
[tex]k = 2.5[/tex]
Hence, the true statement is (d) The scale factor is 2.5.
Read more about dilation at:
https://brainly.com/question/3457976
Find the slope of the line that passes through (3, 11) and (10,8).
Answer:
-3/7
Step-by-step explanation:
Slope = [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\[/tex]
[tex]=\frac{8-11}{10-3}\\\\=\frac{-3}{7}\\[/tex]
Solve the inequality.
5z ≥ −75
z ≤ −15
z ≥ −375
z ≥ −15
z ≤ 15
Answer:
z ≥ −15
Step-by-step explanation:
5z ≥ −75
Divide each side by 5
5z/5 ≥ −75/5
z ≥ −15
4x + 3y = 36
how do i solve this?
in general form
Complete the statement. Round to the nearest hundredth if necessary.
14 m ≈
ft
find an expression for the nth term -3 , 2 , 7, 12
Answer:
5n-8
Step-by-step explanation:
Because this is an arithmetic progression, there is simply an addend that is being added to every number. Because that is 5, the expression, for now, would be 5n. However, the progression does not start at 0, so we will have to subtract 3, and then it would be 5n - 3. We're still not at the answer; this is because the first term starts at 1, not 0. We will have to account for that, so subtract the coefficient, or 5, from the whole expression. That would be 5n - 8, and that would be the answer.
PLZ PLZ PLZ PLZ HELP
Answer: -1/8 OR -0.125, -2^-3
Step-by-step explanation:
A group of preschoolers has 15 boys and 12 girls. What is the ratio of girls to boys?
A.3 : 4
B.4 : 5
C.15 : 12
D.12 : 15
A Teacher distributed a pack of sweets among her three favorite students in the ratio of 1 : 2 : 3 . Demon got the most a total of 20 sweets. How many sweets were in the pack?
A.40
B.20
C.80
D.60
Answer:
12 to 15 ratio of girls to boys
WHO WATCHES HAIKYUU OR HAS READ THE MANGA
Answer:
I do
Step-by-step explanation
I like the manga
Answer:
mmeeee ♀️
Step-by-step explanation:
omg thats a rlly good drawing too
After running 10 miles, David drank 2 bottles of water. His brother was thirstier and drank times as much as David. What equation can be used to find out how many bottles of water David's brother drank?
Answer:
4 bottles of water
Step-by-step explanation:
John invested $2000 for 3 years at 10% per annum. Peter invested $1000 at the same rate. If they both received the same amount of money in interest, for how many years did Peter invest his money?
Answer:
6
Step-by-step explanation:
Factor the expression completely by first taking out a common factor
3x^2 + 27x +24
hi I need HELP with this question
Answer:
B
Step-by-step explanation:
Alyssa had 191 dollars to spend on 6 books. after buying them she had 17 dollars. how much did each book cost?
Answer:
29$
Step-by-step explanation:
191-17=174
174/6=29
Answer:
$29
Step-by-step explanation:
In the figure, a ∥ b. What is the value of x?
Answer:
20
Step-by-step explanation:
BRAINLIEST AND 100 POINTS. Please help by explaining how you got the answer
Answer:
it may be A log x ........