Answer:
25
Step-by-step explanation:
We'll compare it with the study of sets, the most noticeable operation of which is:
n(A ∪ B) = n(A) + n(B) - n(A ∩ B)where,
n(A ∪ B) is the Union Set, i. e, the set that contains all the elements
n(A) is a subset of the Union Set
n(B) is another subset of the Union Set, and
n(A ∩ B) is the Intersection Set ,i.e, the set contains common elements from both A and B sets.
In the question:n(A ∪ B) = ? (the total number of students in the class who are into the above mentioned sports)Let set A contains the students who play basketball and set B, the students who play Volleyball.
n(A) = 25n(B) = 2010 students play both of them, i. e.,
n(A ∩ B) = 10 (as 10 students have common sports - Volleyball and Basketball)Using the above operation:
=> n(A ∪ B) = n(A) + n(B) - n(A ∩ B)
=> n(A ∪ B) = 25 + 20 - 10
=> n(A ∪ B) = 35
Final Step to the Answer:The total number of students in the class
= students into the given sports + students who don't play any of them
Total number of students in the class is 60Total number fo students playing basketball and volleyball is 35The students who play neither = 60 - 35
= 25
6.
Bella wants to write two equations to model the streets on this map. She can use y = x – 4 to describe Platte Way. Find one absolute value equation to describe Marteen Rd and Smith St.
A. y = |x – 3| – 2
B. y = |x + 3| – 2
C. y = |x + 2| – 3
D. y = |x – 2| – 3
Answer:
C. y = |x + 2| – 3
Step-by-step explanation:
I got this answer correct on Gradpoint
Geometry B: fill in the blank
Step-by-step explanation:
(3,-1)
h=3
it shows on the graph in x axis
k= -1
it also shows in the graph
(x-3) + (y+1)
Complete the point-slope equation of the line through
(
1
,
−
1
)
(1,−1)left parenthesis, 1, comma, minus, 1, right parenthesis and
(
5
,
2
)
(5,2)left parenthesis, 5, comma, 2, right parenthesis
Answer:
y +1 = 3/4(x -1)
Step-by-step explanation:
What is the Slope of the equation y = x - 2
A 1
B-2
C 2
D 0
Answer:
A. 1
Step-by-step explanation:
The slope is the coefficient of x: 1.
Help!! Due today!! Will mark brainliest!!
I do not believe this is correct, (I have been checking it), but here is my work and I hope it helps you to figure out the correct answer!
(It has been a bit since I've done this haha)
[Equation] [tex]A = d(\frac{(1+i)^{n}-1}{i})[/tex]
[Plug-In] [tex]152,000 = d(\frac{(1+0.045)^{168}-1}{0.045})[/tex]
() 4.5% -> 0.045
() 14 years * 12 = 168 months
This is where I loose confidence in it, just so you know:
[Addition] [tex]152,000 = d(\frac{(1.045)^{168}-1}{0.045})[/tex]
[Exponent of 168] [tex]152,000 = d(\frac{(1,627.56)-1}{0.045})[/tex]
[Subtract] [tex]152,000 = d(\frac{1,626.56}{0.045})[/tex]
[Divide] [tex]152,000= 36,145d[/tex]
[Divide Again] d = 4.2
(which doesn't sound right to me haha, 4 * 12 = 48 * 14 =672)
Have a nice day!
I know this is not exactly what you are looking for and I am sorry, wanted to share with you what I had! (ノ^∇^)
- Heather
A sling is in the shape of an isosceles triangle with a perimeter of 155 inches. The longest side of the sling is 14 inches longer than either of the other two sides. Find the lengths of each side.
Hello there.
To answer this question, we need to remember some properties of the isosceles triangle.
First (and most importantly), an isosceles triangle is composed by three sides, in which only two of the sides have equal length.
The perimeter of a triangle is given by the sum of the lengths of the sides, such that: [tex]2p={\ell}_1+{\ell}_2+{\ell}_3[/tex], in which [tex]p[/tex] is the semiperimeter.
Given that the perimeter of such triangle is equal to [tex]155~\text{in}[/tex] and the longest side is [tex]14~\text{in}[/tex] longer than both the other sides, we have that:
[tex]\begin{cases}{\ell}_2={\ell}_3\\ {\ell}_1+{\ell}_2+{\ell}_3=155\\ {\ell}_1={\ell}_2+14\\\end{cases}[/tex]
Using these informations, in terms of [tex]{\ell}_2[/tex], we get:
[tex]{\ell}_2+14+{\ell}_2+{\ell}_2=155[/tex]
Sum the equal terms on the left hand side of the equation
[tex]3\,{\ell}_2+14=155[/tex]
Subtract [tex]14[/tex] on both sides of the equation
[tex]3\,{\ell}_2=141[/tex]
Divide both sides of the equation by a factor of [tex]3[/tex]
[tex]{\ell}_2=47~\text{in}[/tex]
Substituting this value on the first and second equations, we get:
[tex]{\ell}_3=47~\text{in}\\\\\\ {\ell}_1=47+14=61~\text{in}[/tex]
Thus, the length of the sides of this triangle are, respectively from the largest to the smallest: [tex]{\ell}_1=61~\text{in},~{\ell}_2=47~\text{in},~{\ell}_3=47~\text{in}~~\checkmark[/tex]
These are the values we were searching for.
Divide and fully simplify, show work please I am stressed
STEP1: Equation at the end of step 1
[tex] \frac{( {5}^{2} {x}^{2} - 4) }{( {x}^{2} - 9) } \div (5x - 2) \div (x + 3) \\ [/tex]
STEP2:
Simplify — [tex] \frac{25x {}^{2} - 4}{x {}^{2} - 9 } \\ [/tex]
Factoring: 25x2 - 4
Theory : A difference of two perfect squares, A2 - B2 can be factored into (A+B) • (A-B)
Proof : (A+B) • (A-B) =
A² - AB + BA - B² =
A² - AB + AB - B² =
A² - B²
Note : AB = BA is the commutative property of multiplication.
Note : - AB + AB equals zero and is therefore eliminated from the expression.
Check : 25 is the square of 5
Check : 4 is the square of 2
Check : x2 is the square of x1
Factorization is : (5x + 2) • (5x - 2)
Trying to factor as a Difference of Squares:
Factoring: x2 - 9
Check : 9 is the square of 3
Check : x2 is the square of x1
Factorization is : (x + 3) • (x - 3)
Polynomial Long Division :
2.3 Polynomial Long Division
Dividing : 5x + 2
("Dividend")
By : x + 3 ("Divisor")
dividend 5x + 2
- divisor * 5x⁰ 5x + 15
remainder - 13
Quotient : 5
Remainder : -13
Equation at the end of step2:
[tex] \frac{ (5x + 2) • (5x - 2)}{(x + 3) • (x - 3)} ÷ (5x - 2) ÷ (x + 3) \\ [/tex]
STEP3:
Divide[tex] \frac{(5x+2)•(5x-2)}{(x+3)•(x-3)} \: by \: 5x-2 \\ [/tex]
Canceling Out :
3.1 Cancel out (5x - 2) which appears on both sides of the fraction line.
Equation at the end of step3:
[tex] \frac{(5x + 2)}{(x + 3) • (x - 3)} ÷ (x + 3) \\ [/tex]
STEP4:
Divide [tex] \frac{5x+2}{(x+3)•(x-3)} \: by \: x + 3 \\ [/tex]
Multiplying Exponential Expressions:
4.1 Multiply (x + 3) by (x + 3)
The rule says : To multiply exponential expressions which have the same base, add up their exponents.
In our case, the common base is (x+3) and the exponents are :
1 , as (x+3) is the same number as (x+3)1
and 1 , as (x+3) is the same number as (x+3)1
The product is therefore, (x+3)¹ = (x+3)²
Final result :
[tex] \frac{5x + 2}{(x + 3) {}^{2} • (x - 3)} \\ [/tex]At the track meet, 1/5 of the people participated in the high jump. 2 more people joined making the ratio who did the high and who didn’t 1:3. How many people were there at the end? I answered 16 but I think I’m wrong so please correct. :)
Answer:
Step-by-step explanation:
find c if c = a + b.
Answer:
57785/_6÷=6=×÷6776==677/÷567
Marla wants to buy a new tablet that cost $565, including tax. she saves $15 per week for 30 weeks . does Marla have enough money saved by the tablet? Explain.
Step-by-step explanation:
No she won't have enough money saved.
This is so because at the end of 30 weeks she would have saved only $450 and short by 115.
Solve for x, y, and z
Answer:
Step-by-step explanation:
19 from pythagoras theorem
x^2 = 15^2 + 6^2
x^2 = 225 + 36
x^2 = 261
x = sq.root of 261
x=16.2
20 Using SOHCAHTOA
Cos theta = adj/ hypotenuse
cos y = 24/30
cos y = 0.8
y= arc cos 0.8
y = 36.9
The sum of 8n^2-3n+10 and -3n^2 -6n-7 is
Answer:5n^2-9n-7
Step-by-step explanation:
Determine the distance between the points (-2.3) and (5. - 3).
[tex] \sqrt{85} [/tex]
Hope that helped:)
if 100 kids = 40%, how many kids =100%
Answer:
The answer is 250 kids
Step-by-step explanation:
Please give me brainlest
Answer:
250
Step-by-step explanation:
If 100 kids is 40%, then 200 kids (twice as much) is 80%. 20% (what's remaining) is half of 40%, so it is also half of 100; 50. Add that together, 250 kids.
What is the equation of the line that passes through the point (-5, -2) and has a
slope of -6/5?
Answer:
y = -6/5x - 8
Step-by-step explanation:
You just have to use the slope-point equation of a line which is (y - y₁) = m (x - x₁) where y₁ and x₁ are the coordinates of the given point and m is the slope given. So just plug-in x₁ = -5, y₁ = -2, and m = -6/5 to get:
y - ( -2) = -6/5(x + 5)
And simplify to get:
y + 2 = -6/5x - 6
And if you want it in standard form, it is:
y = -6/5x - 8
When Brooklyn commutes to work, the amount of time it takes he
normally distributed with a mean of 54 minutes and a standard deviation of 4
minutes. Using the empirical rule, what percentage of her commutes will be between
50 and 58 minutes?
Answer:
Step-by-step explanation:
68
The percentage of her commutes will be between 50 and 58 minutes is 68%.
What Is an Empirical Rule in Statistics?The empirical rule, also known as the three-sigma rule or the 68-95-99.7 rule, is a statistical rule that states that almost all observed data for a normal distribution will fall within three standard deviations (denoted by σ) of the mean or average (denoted by µ).
Given: mean=54, standard deviation =4 min
The Empirical says,
mean-standard deviation= 54-4=50
mean - standard deviation= 54+4= 58.
Now,
P([tex]\mu[/tex]-6 ≤ X ≤ [tex]\mu[/tex] +6) ≈0.68
Hence, percentage of her commutes will be between 50 and 58 minutes is 68%.
Learn more about Empirical rule here:
https://brainly.com/question/14735795
#SPJ2
tonya is 13 1/2 years old. she states "my brother is one-forth my age" according to tonya, how old is her brother
Answer:
3.73
Step-by-step explanation:
1/4 of 13 1/2 is 3.73
hope this is helpfull
can you relate to the attachment??
An orchard has 551 orange trees. The number of rows exceeds the number of trees per row by 10. How many trees are there in each row?
Answer:
Step-by-step explanation:
the number of rows = n
The number of trees per row = n + 10
n * (n + 10) = 551 Remove the brackets
n^2 + 10n = 551 Subtract 551 from both sides
n^2 + 10n - 551 = 0 This factors.
(n - 19)(n + 29) = 0
Note n + 29 is an extraneous (extra) root which does not work
n - 19 = 0
n = 19
There are 19 rows
Each row contains 19 trees.
Please help I’m stuck on this question and i don’t know the answer
Answer:
y = 1/2x
Step-by-step explanation:
Pick two points:
(2,1) and (4,2)
Find the slope: y2 - y1/x2 - x1
2-1/4-2
1/2 is the slope
The y intercept is 0
Let the graph of g be a translation 2 units left and 3 units up, followed by a reflection in the y-axis of the graph of f(1) = ? - 24 Write a rule for g.
Answer:
g(x) = (x+2)^2 - 2x - 1
Step-by-step explanation:
f(x) = x^2 - 2x
g(x) = f(x+2) + 3
g(x) = (x+2)^2 -2(x+2) + 3 = (x+2)^2 - 2x - 1
When we graph the equations, we can confirm that our answer is correct.
The required solution of the given function is f(x) =[tex]x^{2} -2x[/tex] is reflection on y axis is [tex]g(x)= (x+2)^2 - 2x - 1[/tex].
What are transformations?
A transformation is a general term for four specific ways to manipulate the shape and/or position of a point, a line, or geometric figure. The original shape of the object is called the Pre-Image and the final shape and position of the object is the Image under the transformation.
Given:
The given function is
f(x) =[tex]x^{2} -2x[/tex]
According to given question we have
[tex]g(x) = (x+2)^2 - 2x - 1[/tex]
The graph of g be a translation 2 units left and 3 units up, followed by a reflection in the y-axis of the graph.
By the use reflection on y axis we get
[tex]f(x) = x^2 - 2x\\g(x) = f(x+2) + 3\\g(x) = (x+2)^2 -2(x+2) + 3\\ \\g(x)= (x+2)^2 - 2x - 1[/tex]
Therefore, the required solution of the given function is f(x) =[tex]x^{2} -2x[/tex] is reflection on y axis is [tex]g(x)= (x+2)^2 - 2x - 1[/tex].
Learn more details about transformations here:
https://brainly.com/question/11709244
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I need help please!
9514 1404 393
Answer:
f(g(x)) = 2/(x^2 +4x)
Step-by-step explanation:
[tex](f\circ g)(x)=f(g(x))\\\\(f\circ g)(x)=f(x+2)=\dfrac{2}{(x+2)^2-4}\\\\(f\circ g)(x)=\dfrac{2}{x^2+4x+4-4}\\\\\boxed{(f\circ g)(x)=\dfrac{2}{x^2+4x}}[/tex]
1. Express 14/100 as a negative exponent.
2. What is the reciprocal of (100)^-1
Please answer with steps.
Step-by-step explanation:
Number 1
[tex] = \frac{14}{100} [/tex]
[tex] = \frac{14}{ {10}^{2} } [/tex]
[tex] = 14 \times {10}^{ - 2} [/tex]
[tex] \: [/tex]
Number 2
[tex] = {100 }^{ - 1} [/tex]
[tex] = \frac{1}{ {100}^{1} } [/tex]
[tex] = \frac{1}{100} [/tex]
In a magazine, 15% of the pages are
covered in pictures. If the remaining 51
pages of the magazine are text, how
many pages are in the entire magazine?
Answer:
60 pages
Step-by-step explanation:
0.15x + 51 = x
51 = x - 0.15x
51 = 0.85x
51/0.85 = x
X = 60 (0.15 * 60 = 9 pages covered with pictures)
Partial product method of 475x4
Answer:
(400x4)+(70x4)+(5x4)=?
Step-by-step explanation:
Divide the greater number into hundreds tens and ones then add the products to get your answer
I don’t understand this please help
Answer:
3 <----> [tex]\sqrt{9}[/tex]
10 <----> [tex]\sqrt{100}[/tex]
8 <---> [tex]\sqrt{64}[/tex]
9 <--->[tex]\sqrt[3]{729}[/tex]
6 <----> [tex]\sqrt[3]{216}[/tex]
7 <---->[tex]\sqrt[3]{343}[/tex]
Step-by-step explanation:
What was the average temperature for the day? -3°F -1°F 1°F 3°F
Answer:
0
Step-by-step explanation:
[tex]\\ \sf\longmapsto Average=\dfrac{Sum\:of\:data}{Number\;of\:datas}[/tex]
[tex]\\ \sf\longmapsto Average=\dfrac{-3-1+1+3}{4}[/tex]
[tex]\\ \sf\longmapsto Average=\dfrac{0}{4}[/tex]
[tex]\\ \sf\longmapsto Average=0°F[/tex]
Consider the graph shown.
What is the slope of the graph?
Write an equation for the line.
Answer:
slope- 3/4. equation- y=3/4x+1
Step-by-step explanation:
to get the equation, you use the formula y=mx+b, where m is the slope and b is the y intercept, which means it is where the line touches the y axis
4.
Graph the equation by translating y = |x|.
y = |x + 5|
A. Graph a
B. Graph d
C. Graph b
D. Graph c
9514 1404 393
Answer:
D. Graph c
Step-by-step explanation:
Replacing x in f(x) with (x -a) shifts the graph to the right 'a' units. Here 'a' = -5, so the graph is shifted left 5 units. This is shown in Graph C.
_____
Additional comment
Just to make sure you're awake, graph C is selected by choice D.
Answer:
c
Step-by-step explanation:
Please help me before I die
Answer:
The answer is 48.
Step-by-step explanation:
The best way is to follow the question through. Calculate the Greatest Common Factor, in this case being 2. And the Least Common Multiple, being 60. She then subtracts the difference, in this case being 60 - 2, which gives you an answer of 48.
What is the slope of the line?
Answer:
1
Step-by-step explanation:
1/1 = 1
