Step-by-step explanation:
(f○g)(x) means f(g(x))
(g○f)(x) means g(f(x))
f(g(x)) means to use the expression of g(x) as input to f(x). so, we replace all simple x in f(x) by g(x) = x².
f(g(x)) = x²/(x² + 2)
using the same principle we get for
g(f(x)) = (x/(x + 2))² = x²/(x + 2)²
now we need to solve
x²/(x² + 2) = x²/(x + 2)²
let's multiply both sides with both denominators :
x²(x + 2)² = x²(x² + 2)
x²(x² + 4x + 4) = x²(x² + 2)
so, one solution is clear : x = 0.
because then we have 0 = 0.
for x <> 0 we can divide both sides by x² and get
x² + 4x + 4 = x² + 2
4x + 4 = 2
4x = -2
x = -2/4 = -1/2
both expressions are equal for x = 0 and x = -1/2
write 34,000 , 43,000,000 , 0.0000087 , 91,000,000 , 16.6 x 10^3 , and 0.00372 x 10^-3 in scientific notation
To write a number in scientific notation you must know:
1. A number in scientific notation is written as the product of a number (integer or decimal) and a power of 10
2. A number can be converted to scientific notation by increasing the power of 10 by one for each place the decimal point is shifted to the left.
Then so:
[tex]34000=3,4x10^3[/tex][tex]43000000=4.3x10^7[/tex][tex]0.0000087=8.7x10^{-6}[/tex][tex]91000000=9.1x10^7[/tex][tex]16.6x10^3=1.66x10^4[/tex][tex]0.00372x10^{-3}=3.72x10^{-6}[/tex]The midpoint of segment AB is M. If the coordinates of M are (1/2,-2) and the coordinates of B are (6,1), what are the coordinates of A?
The coordinates of A are (-5, -5).
How to determine the midpoint of a given segment?
The center point of a straight line can be located using the midpoint formula. We can use this midpoint formula to determine the coordinates of the supplied line's midpoint in order to discover its location on a graph. Assuming that the line's endpoints are (x₁, y₁) and (x₂, y₂), the midpoint (a, b) is determined using the following formula:
(a , b) ≡ (((x₁ + x₂)/2), ((y₁ + y₂)/2))
Given, the line segment under consideration is AB as endpoints.
And, the co-ordinate of B is = (6, 1)
Also, the midpoint of segment AB i.e. M is = (0.5, -2)
Let the co-ordinate of A be = (x, y)
Using the available literature and formula, we get
(0.5, -2) ≡ (((x + 6)/2), ((y + 1)/2))
Equating both parts in the given equation,
0.5*2 = x + 6 ⇒ 1 = x + 6 ⇒ x = -5
and, (-2)*2 = y + 1 ⇒ -4 = y + 1 ⇒ y = -5
Therefore, the co-ordinates of A are (-5, -5).
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The area of a triangle is 1/2bh
1) rewrite the formula for b
2)rewrite the formula for h
Answer:
1. b = 2A/h
2. h = 2A/b
Step-by-step explanation:
All you have to do is isolate the variable.
1.
Isolate b:
A = 1/2 x b x h
Multiply each side by 2
2A = b x h
Isolate b by dividing both sides by h
b = 2A/h
2.
Isolate h:
A = 1/2 x b x h
Multiply each side by 2
2A = b x h
Isolate h by dividing both sides by b
h = 2A/b
Did I get these right
Answer:
Almost!
Step-by-step explanation:
Problems 1-9 and 11 are correct, but not problem 10 or 12
For problem 10, 12/6 does equal 6/1, so it would just be the whole number of 6 as your final answer as it doesn't need to be simplified further.
For problem 12, -4/6 can be simplified further to -2/3 by dividing by 2.
Answer: Very close!
Step-by-step explanation:
Problems 7, 8, 9, and 11 are correct but not 10 or 11, because they are not in simplest form.
2/1 can be simplified to 2, and -4/6 can be simplified to -2/3.
Please help for 50 points
Which of the following points are solutions to the given system?
3x-4y<10
2x+6y≥-8
Select all that apply
(0, 4)
(2, –1)
(2, –2)
(8, 2)
(–1, –1)
Answer: (0,4) and (-1,-1)
Step-by-step explanation:
1) Plug in all of each equation
1a) (0,4)
3(0)-(4)<10
0-4< 10
-4< 10
2(0)+6(4)>=-8
0+24 >= -8
24>= -8
Works!
1b) (2,-1)
3(2)-4(-1)<10
6+4<10
10<10
Nope.
1c) (2,-2)
3(2)-4(-2)<10
6+8<10
14<10
Nope.
1d) (8,2)
3(8) -4(2) < 10
24 - 8 < 10
16<10
Nope.
1f) (-1,-1)
3(-1)-4(-1) < 10
-3 +4 < 10
1 < 10
2(-1)+6(-1)>=-8
-2+-6 >= -8
-8 >= -8
Works.
I WILL GIVE BRAINLEST 1+1
it is 2 becuase 1 plus 1 is two when you have an apple and a freind gives you an apple you have 2 appelapples
Answer:
1+1=2
Step-by-step explanation:
if you have one of me then you duplicate me or make a dopleganger than you now have 2
have a great day^^
In a pond, the ratio of toads to frogs was 3: 10.
9 more frogs then entered the pond, and the ratio of toads to frogs became
3:11.
Work out how many toads are in the pond.
Toads are in the pond is 27.
What is a ratio?The quantitative relation between two amounts showing the number of times one value contains or is contained within the other.
"the ratio of men's jobs to women's is 8 to 1".
Given that,
The ratio of toads to frogs was 3: 10.
Let the number of toads = 3x
number of frogs = 10x
9 more frogs then entered the pond and the ratio of toads to frogs became 3:11.
[tex]\frac{3x}{10x+9} =[/tex] [tex]\frac{3}{11}[/tex]
[tex]\frac{x}{10x+9} = \frac{1}{11}[/tex]
11x = 10x+9
x = 9
number of toads = 3x = 3×9 = 27
Hence, Toads are in the pond is 27.
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f(n)=3.3n-1 for n ≥ 1
The first five terms of the given function is:
f(1) = 2.3
f(2) = 5.6
f(3) = 8.9
f(4) = 12.2
f(5) = 15.5
Functions: The core concept of mathematics calculus is functions. The unique varieties of relations are the functions. In mathematics, a function is represented as a rule that produces a distinct result for each input x. In mathematics, a function is indicated by a mapping or transformation. Typically, these functions are identified by letters like f, g, and h.
The given function is f(n) = 3.3n-1 for n>= 1
The first 5 terms of this function are as follows:
f(1) = 3.3(1)-1
= 3.3-1 = 2.3
f(2) = 3.3(2)-1
= 6.6-1 = 5.6
f(3) = 3.3(3)-1
= 9.9-1
=8.9
f(4) = 3.3(4)-1
= 13.2-1
=12.2
f(5) = 3.3(5)-1
= 16.5-1
= 15.5
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A bicycle has cash price $16 319.50. It can be bought on hire purchase with a deposit of $6 900 and ten monthly installments of $1 224.50 each.
a. What is the total hire purchase price for the bicycle? [3 marks]
b. Find the difference between the hire purchase price and the cost price for the bicycle. [1 mark]
c. Express your answer in (b) above as a percentage of the cash price.
a) Total purchase price for the bicycle is $19,145
b) The difference between the hire purchase price and the cost price for the bicycle is $2,825.50
c) The percentage of difference between the hire purchase price and the cost price for the bicycle is 17%
Percentage:
Percentage means a fraction or a ratio in which the value of whole is always 100.
Given,
A bicycle has cash price $16,319.50. It can be bought on hire purchase with a deposit of $6,900 and ten monthly installments of $1,224.50 each.
Here we need to following:
a) Purchase price for the bicycle
b) Difference between the hire purchase price and the cost price for the bicycle
c) Percentage of the cash price.
The total purchase price is calculated by adding the deposit and the ten month installment.
So, the total purchase price is,
=> 6900 + (10 x 1224.50)
=> 6900 + 12245
=> 19145.
Therefore, the total purchase price is $19145.
Now, the difference between the hire purchase price and the cost price for the bicycle is calculated as,
=> 19145 - 16319.50
=> 2825.50
So, the difference between the hire purchase price and the cost price for the bicycle is $2,825.50
Now, we have to calculate the percentage by using the following expression,
x% of 16,319.50 = 2825.50
x% = 2825.50/16319.50
x% = 0.1731
x = 17.31.
Therefore, there is 17% difference in the hire purchase price and the cost price for the bicycle.
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Pls help asap I’ll give brainliest
Firstly multiplication operation will be performed and the value on simplification will be -7.
The expression will be solved based on the sequence in order of operations. In the mentioned expression, parenthesis and exponents are not there. Thus, firstly we will multiply the values followed by division. Then we will perform addition and subtraction (PEMDAS).
Performing multiplication first -
Value = 27 ÷ 27 - 8
Performing division at second step -
Value = 1 - 8
We are left with subtraction, so performing it -
Value = -7
Therefore, firstly multiplication will be performed and the value is -7.
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Mrs Flores 'sixth grade class has 15 students 9 of which are boys .What is the ratio of boys and girl in Mrs flores classroom in the simplest form ?
It know it 3:2 but can you tell me why because I am confused
Answer:
see explanation
Step-by-step explanation:
there are 15 students , 9 of which are boys, then
number of girls = 15 - 9 = 6
ratio of boys : girls = 9 : 6 = 3 : 2 ← in simplest form
Given 4 1/10 -3 5/12 determine the product
The product of 4 1/10 and -3 5/12 is -14 1/120
What are fractions?Fractions are simply described as a subset of a whole or the part of a whole.
They are several types of fractions, some of which includes;
Mixed fractionsProper fractionsImproper fractionsSimple fractionsComplex fractionsSome examples of mixed fractions; 3 1/4, 5 1/2, 6 1/4
Some examples of simple fractions; 1/2, 1/4, 1/6
Some examples of proper fractions; 3/4, 4/5, 6/7
Some examples of improper fractions; 3/2, 4/3, 6/5
Given the mixed fractions;
4 1/10 × -3 5/12
convert to improper fractions
41/10 × - 41/12
Multiply through
- 1681/120
Find the ratio
- 14 1/ 120
Hence, the value is - 14 1/ 120
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Let f(x)=2x²+x-11 and g(x)=x-1. Perform the function operation and then find the domain.
(f+g)(x)
(f+g)(x) = (Simplify your answer.)
Answers:
[tex](f+g)(\text{x}) = \boldsymbol{2\text{x}^2+2\text{x}-12}[/tex]
Domain = set of all real numbers
========================================================
Work Shown:
[tex](f+g)(\text{x}) = f(\text{x})+g(\text{x})\\\\(f+g)(\text{x}) = (2\text{x}^2+\text{x}-11)+(\text{x}-1)\\\\(f+g)(\text{x}) = 2\text{x}^2+\text{x}-11+\text{x}-1\\\\(f+g)(\text{x}) = 2\text{x}^2+(\text{x}+\text{x})+(-11-1)\\\\(f+g)(\text{x}) = 2\text{x}^2+2\text{x}-12\\\\[/tex]
The domain of each f(x) and g(x) is "set of all real numbers" since we can replace x with any real number to get some output.
By extension, this means the domain of (f+g)(x) is also "set of all real numbers".
It turns out any polynomial will have this domain. We don't have to worry about things like applying square roots to negatives, or dividing by zero. This is why there isn't a restriction on x.
To write "set of all real numbers" in interval notation, we would say [tex](-\infty, \infty)[/tex] to indicate x is anything between negative infinity and positive infinity.
Aaron has two summer jobs. During the week he works in the grocery store, and on the weekend he works at a nursery. He gets paid $20 per hour to work at the grocery store and $21 per hour to work at the nursery. How much does he earn if he works 13 hours at the grocery store and 9 hours at the nursery? How much does he earn if he works gg hours at the grocery store and n hours at the nursery?
Total pay, 13 hours at the grocery store and 9 hours at the nursery:
Total pay, g hours at the grocery store and n hours at the nursery:
If he gets paid $20 per hour to work at the grocery store and $2 per hour to work at nursery,
Part a
He will earn $449 if he works 13 hours at the grocery store and 9 hours at the nursery
Part b
He will earn 20g + 21n, if he works g hours at the grocery store and n hours at the nursery
The payment at the grocery store per hour = $20
The payment at the nursery per hour = $21
Part a
Number of hours he works at the grocery store = 13 hours
Number of hours he works at nursery = 9 hours
Total pay = 13×20 + 9×21
= 260 + 189
= $449
Part b
Number of hours he works at the grocery store = g hours
Number of hours he works at nursery = n hours
Total pay = 20g + 21n
Hence, If he gets paid $20 per hour to work at the grocery store and $2 per hour to work at nursery,
Part a
He will earn $449 if he works 13 hours at the grocery store and 9 hours at the nursery
Part b
He will earn 20g + 21n, if he works g hours at the grocery store and n hours at the nursery
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3. Given the perimeter of the figure is 76 ft, Find
the dimensions of the shape.
R
(4x-5) ft
(25-x) ft
(13 + x) ft
S
T
(3x+1) ft
All the dimensions of the shape is found as 19 ft.
What is termed as the perimeter?The perimeter of any closed shape is the total length of its boundary. The total length around a shape is described as its perimeter. It is the length of any two-dimensional spatial shape's outline or boundary. Depending on the dimensions, the perimeters of irregular shapes can indeed be equal in size.For the given question, the dimensions of the shape is given as;
(4x-5) ft(25-x) ft(13 + x) ft(3x+1) ftThe perimeter of the shape = 76 ft.
The formula of the perimeter = sum of length of all sides.
Let 'P' be the perimeter.
P = (4x-5) + (25-x) + (13 + x) + (3x+1) ing
Simplifying
P = 4x - x + x + 3x - 5 + 25 + 13 + 1
76 = 7x + 34
7x = 76 - 34
7x = 42
x = 6
Thus, the dimensions of the shape is; Put x = 6
(4×6-5) ft = 19 ft(25-6) ft = 19 ft(13 + 6) ft = 19 ft(3×6+1) ft = 19 ftThus, all the dimensions of the shape is found as 19 ft.
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Which of the following proves these triangles are congruent?
A. neither
B. SAA
C. ASA
Answer:
Step-by-step explanation:
Neither, they are not congruent.
please na solve it please please.
Solution given to both questions below, they reveal the given answers.
The steps are self-explanatory, let me know if anything is unclear.
Question 24[tex]\cfrac{2}{(x-2)(x-3)} +\cfrac{2}{(x-1)(3-x)}+\cfrac{1}{(1-x)(2-x)} =[/tex][tex]\cfrac{2}{(x-2)(x-3)} -\cfrac{2}{(x-1)(x-3)}+\cfrac{1}{(x-1)(x-2)} =[/tex][tex]\cfrac{2(x-1)}{(x-1)(x-2)(x-3)} -\cfrac{2(x-2)}{(x-1)(x-2)(x-3)}+\cfrac{x-3}{(x-1)(x-2)(x-3)} =[/tex][tex]\cfrac{2x-2-2x+4+x-3}{(x-1)(x-2)(x-3)} =[/tex][tex]\cfrac{x-1}{(x-1)(x-2)(x-3)} =[/tex][tex]\cfrac{1}{(x-2)(x-3)}[/tex]Question 25[tex](4x - 1)(x + 2) = 2 + 7x[/tex][tex]4x^2+8x-x-2=2+7x[/tex][tex]4x^2+7x-2=2+7x[/tex][tex]4x^2=4[/tex][tex]x^2=1[/tex][tex]x=\sqrt{1}[/tex][tex]x=\pm1[/tex]Answer:
[tex]\textsf{24.} \quad \dfrac{1}{(x-2)(x-3)}[/tex]
[tex]\textsf{25.} \quad x=1, \quad x=-1[/tex]
Step-by-step explanation:
Question 24Given expression:
[tex]\dfrac{2}{(x-2)(x-3)}+\dfrac{2}{(x-1)(3-x)}+\dfrac{1}{(1-x)(2-x)}[/tex]
When adding rationals with different denominators, make the denominators the same by finding the least common denominator.
Create a common denominator by:
[tex]\textsf{Multiplying the first fraction by $\dfrac{x-1}{x-1}$}.[/tex]
[tex]\textsf{Multiplying the second fraction by $\dfrac{-(x-2)}{-(x-2)}$}.[/tex]
[tex]\textsf{Multiplying the third fraction by $\dfrac{x-3}{x-3}$}.[/tex]
[tex]\implies \dfrac{2}{(x-2)(x-3)} \cdot \dfrac{x-1}{x-1}+\dfrac{2}{(x-1)(3-x)}\cdot \dfrac{-(x-2)}{-(x-2)}+\dfrac{1}{(1-x)(2-x)}\cdot \dfrac{x-3}{x-3}[/tex]
[tex]\implies \dfrac{2(x-1)}{(x-1)(x-2)(x-3)}+\dfrac{-2(x-2)}{-(x-1)(x-2)(3-x)}+\dfrac{x-3}{(1-x)(2-x)(x-3)}[/tex]
[tex]\implies \dfrac{2(x-1)}{(x-1)(x-2)(x-3)}+\dfrac{-2(x-2)}{(x-1)(x-2)(-3-(-x))}+\dfrac{x-3}{(-(-1+x))(-(-2+x))(x-3)}[/tex]
[tex]\implies \dfrac{2(x-1)}{(x-1)(x-2)(x-3)}+\dfrac{-2(x-2)}{(x-1)(x-2)(x-3)}+\dfrac{x-3}{(x-1)(x-2)(x-3)}[/tex]
[tex]\textsf{Apply the fraction rule} \quad \dfrac{a}{d}+\dfrac{b}{d}+\dfrac{c}{d}=\dfrac{a+b+c}{d}:[/tex]
[tex]\implies \dfrac{2(x-1)-2(x-2)+(x-3)}{(x-1)(x-2)(x-3)}[/tex]
Expand the numerator:
[tex]\implies \dfrac{2x-2-2x+4+x-3}{(x-1)(x-2)(x-3)}[/tex]
[tex]\implies \dfrac{x-1}{(x-1)(x-2)(x-3)}[/tex]
Cancel the common factor (x - 1):
[tex]\implies \dfrac{1}{(x-2)(x-3)}[/tex]
Question 25Given equation:
[tex](4x-1)(x+2)=2+7x[/tex]
Expand the left side:
[tex]\implies 4x^2+7x-2=2+7x[/tex]
Subtract 7x from both sides:
[tex]\implies 4x^2+7x-2-7x=2+7x-7x[/tex]
[tex]\implies 4x^2-2=2[/tex]
Add 2 to both sides:
[tex]\implies 4x^2-2+2=2+2[/tex]
[tex]\implies 4x^2=4[/tex]
Divide both sides by 4:
[tex]\implies \dfrac{4x^2}{4}=\dfrac{4}{4}[/tex]
[tex]\implies x^2=1[/tex]
Square root both sides:
[tex]\implies \sqrt{x^2}=\sqrt{1}[/tex]
[tex]\implies x= \pm 1[/tex]
Therefore, the solutions are:
[tex]x=1, \quad x=-1[/tex]
if the total value of the coins is $5.50 and kayleigh has 17 quarters, how many nickels does she have?
Kayleigh have 25 nickels with her.
Given,
The total value of coins Kayleigh have = $5.50
Number of quarters with Kayleigh = 17 quarters
We have to find the number of nickels Kayleigh with her.
Lets see:
1 dollar = 4 quarters
1 dollar = 20 nickels
Here, we have a total of 5.50 dollar
In this, 17 quarters are there.
So,
17 / 4 = 4.25
That is, the value of coins as quarters is $4.25
Now,
5.50 - 4.25 = 1.25
That is,
$1.25 is in the form of nickels.
Number of nickels = 1.25 × 20
Number of nickels = 25
Therefore,
Kayleigh have 25 nickels with her.
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bu sorunun çözümünü yazarmısınız çok acil lütfennnnn
Answer:
Step-by-step explanation:
i poopeyd in ma pants
Gloria is making flower arrangements for a wedding. She has a total of 112 flowers and 14 vases to fill. What is the unit rate of
flowers per vase? (1 point)
O 8 flowers
O 14 flowers
10 flowers
6 flowers
What is the
domain?
Ahh someone give me the answer plsss
Answer:
0≤x≤|R
Step-by-step explanation:
I'm not really sure but I think the domain is all positive real numbers including zero
Taylor and her children went into a movie theater and she bought $81 worth of bags of popcorn and candies. Each bag of popcorn costs $9 and each candy costs $4.50. She bought 6 more candies than bags of popcorn. Graphically solve a system of equations in order to determine the number of bags of popcorn, x,x, and the number of candies, y,y, that Taylor bought.
Answer:
x = bags of popcorn = 4y = candies = 10Step-by-step explanation:
You want to find the number of bags of popcorn (x) and candies (y) Taylor bought for $81, given that popcorn costs $9 and candies cost $4.50, and she bought 6 more candies than popcorns.
EquationsThe equations relating x and y are ...
6x +4.5y = 81 . . . . . . . . the total cost of the snacksx + 6 = y . . . . . . . . . . . there were 6 more candies than popcornsSolutionThe attached graph shows the solution of thees equations is ...
(x, y) = (4, 10)
Taylor bought 4 bags of popcorn and 10 candies.
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ABC has vertices at A(4,1), B(-3,-2), and C(-1,3). what is the perimeter of ABC?
If ABC is a triangle, which when plotted on the cartesian coordinate system, has it's vertices at A(4, 1), B(-3, -2), and C(-1, 3), then the perimeter of triangle ABC will be [√58/(√2 - 1)]
As per the question statement, ABC is a triangle, which when plotted on the cartesian coordinate system, has it's vertices at A(4, 1), B(-3, -2), and C(-1, 3).
We are required to calculate the perimeter of triangle ABC.
To solve this question, first we need to calculate the distances between AB, BC ad AC, which are the three sides of our concerned triangle ABC, and then add them up to obtain our desired answer. And to calculate the lengths of AB, BC ad AC, we will need to use the distance formula which goes as,
"The distance between any two points (x₁, y₁) and (x₂, y₂) can be given by
√[(x₂ - x₁)² + (y₂ - y₁)²]
Considering points A(4, 1) and B(-3, -2), we can say that [(x₁, y₁) = (4, 1)] and [(x₂, y₂) = (-3, -2)]. Therefore, distance AB = √[{(-3) - 4}² + {(-2) - 1}²]
Or, AB = √[{-(3 + 4)}² + {-(2 + 1)}²]
Or, AB = √[(-7)² + (-3)²]
Or, AB = √[(49 + 9)]
Or, AB = √58
Similarly considering points A(4, 1) and C(-1, 3), we can say that
[(x₁, y₁) = (4, 1)] and [(x₂, y₂) = (-1, 3)].
Therefore, distance AB = √[{(-1) - 4}² + (3 - 1)²]
Or, AC = √[{-(1 + 4)}² + (3 - 1)}²]
Or, AC = √[(-5)² + (2)²]
Or, AC = √[(25 + 4)]
Or, AC = √29
Finally considering points B(-3, -2) and C(-1, 3), we can say that
[(x₁, y₁) = (-3, -2)] and [(x₂, y₂) = (-1, 3)].
Therefore, distance BC = √[{(-1) - (-3)}² + {3 - (-2)}²]
Or, BC = √[{-(1) + 3}² + (3 + 2)²]
Or, BC = √[(3 - 1)² + (5)²]
Or, BC = √[(4 + 25)]
Or, BC = √29
Therefore, the perimeter of Triangle ABC = (AB + BC + AC)
Or, perimeter of Triangle ABC = (√58 + √29 + √29)
Or, perimeter of Triangle ABC = [√(29 * 2) + √29 + √29]
Or, perimeter of Triangle ABC = [(√29*√2) + √29 + √29]
Or, perimeter of Triangle ABC = √29(√2 + 1 + 1)
Or, perimeter of Triangle ABC = √29(√2 + 2)
Or, perimeter of Triangle ABC = (√29*√2)(1 + √2)
Or, perimeter of Triangle ABC = (√58)(1 + √2)
Or, perimeter of Triangle ABC = [tex]\frac{\sqrt{58} (1+\sqrt{2})(1-\sqrt{2}) }{(1-\sqrt{2})} =\frac{\sqrt{58} [(1)^{2}-(\sqrt{2})^2 }{(1-\sqrt{2})}}[/tex]
Or, perimeter of Triangle ABC = [tex]\frac{\sqrt{58} [(1-2) }{(1-\sqrt{2})}}=\frac{-\sqrt{58}}{(1-\sqrt{2})}}=\frac{\sqrt{58}}{(\sqrt{2}-1)}}[/tex]
Perimeter: In Geometry, a perimeter is a closed path that bounds, surrounds, or outlines, either a two dimensional shape or a one-dimensional length.To learn more about Perimeters, click on the link below.
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If 3/5 of Ellen’s class has brown eyes and there are 25 people in Ellen’s class, how many of them have brown eyes?
Answer: The answer is 15
Step-by-step explanation: 25* 3/5 is 15 so 15 out of 25 is what percent of the class has brown eyes
Assume that x has a normal distribution with the specified mean and standard deviation. Find the indicated probability. (Round your answer to four decimal places.)
= 6; = 2
P(5 ≤ x ≤ 9) =
The probability P(5 ≤ x ≤ 9) is 0.6847
Assume that x has a normal distribution
We have been the mean and standard deviation μ = 6; σ = 2.
To calculate this probability we use the standardized normal distribution and the z-value for 5 and 9.
z = (5 - 6)/2
= -0.5
and z = (9 - 6)/2
= 1.5
Then the probability is calculated as:
P(x ≤ 5) = 0.3085
P(x ≤ 9) = 0.9932
P(5 ≤ x ≤ 9) = 0.9932 - 0.3085
P(5 ≤ x ≤ 9) = 0.6847
Therefore, the probability P(5 ≤ x ≤ 9) is 0.6847
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PLEASE HURRY
Simplify:
6m/m-3 + m/m+1
Simplify
Identify the common factor
{6m/m-3 + m/m+1
(m+1) . (6-3) /(m+1) + (m-3)/ (m+1)
Add fractions with the same denominator together.
terms to put constants on the left and reorder them
Solution
7m^{2}+3m / m^2-2m-3
The answered are 7 3 2 3
What does the algebraic expression M mean?
The slope of a line is represented by the letter "m" in algebra. A line's slope defines both its direction and steepness.
The order in which you perform operations in arithmetic and algebra is governed by a number of laws. The Commutative, Associative, and Distributive Laws are the three that receive the most attention. People have discovered over time that adding or multiplying doesn't depend on the order of the numbers
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1. PET CARE You buy a 6.3-pound bag of dry cat food
for your cat. The function c = 6.3-0.25p represents
the amount of cat food c remaining in the bag when
the cat is fed the same amount each day for p days.
Find the zero of this function. Describe what this
value means in this context.
The zero of the function is 25.6 and it means that the total number of days is 25.6
How to find and interpret the zero of the function?From the question, the equation of the function is given as
c = 6.4 - 0.25p
The zero of this function is when the function equals 0
This is represented as
c = 0
Substitute c = 0 in c = 6.4 - 0.25p
So, we have
6.4 - 0.25p = 0
The above equation becomes
0.25p = 6.4
Divide both sides by 0.25
p = 25.6
So, the zero is 25.6 and it represents that the total number of days
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Which of the following numbers is NOT equivalent to 40%? A 0.04 B 0.40 c.? D *I • 10
The option that is not equivalent to the given percentage of 40% is; A:0.04.
What is the correct percentage?
We are given the percentage as 40%.
Now, this percentage can be rewritten as a proper fraction as;
40% = 40/100
In decimal form, this is expressed as 0.40
Now, the proper fraction 40/100 can be broken down into;
40/100 = 4/10
Further more when we divide both numerator and denominator by 2, we will get the fraction 2/5.
Thus, the only option that is not equivalent to the given percentage is option A which is 0.04.
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The correct options are;
A) 0.04
B) 0.40
C) 2/5
D) 4/10
the volumes of soda in quart soda bottles can be described by a normal distribution with a mean of 32.3 ounces and a standard deviation of 8.8 ounces. (a) what proportion of bottles will have a volume more than 32 ounces? 0.5136 correct: your answer is correct. (4 decimal places) (b) what is the 85th percentile for this distribution? 23.18 incorrect: your answer is incorrect. (2 decimal places)
a)The percentage of bottles expected to have a volume more than 32 oz is 33.60%
b) 85% of 0.3360 is 0.2856
a) The volumes of soda in quart soda bottles can be represented by a Nomal model with a= 32.3 oz
b=8.8 oz
Let S be the volume of randomly selected soda bottles
Y-score: S-a/b
For S=32 oz
Substitute the values of S,a and b into the equation
Y=32-32.3/8.8
Y= - 0.0341
Probability of bottles that have a volume more than 32 oz is
P(S>32)=P(Y>-0.0341)= 0.3360
Percentage of bottles that have volume more than 32 oz will be
0.3360×100%=33.60%
b) 85% of 0.3360 is 0.2856
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If the area of a triangle is 2x^2-2x-4 and it has a height of x-2, write the base of the triangle.base of the triangle:_________________
The base of the triangle = 4(x + 1)
Explanations:The Area of a triangle is given by the formula:
[tex]\text{Area = }\frac{1}{2}\times\text{ base }\times\text{ height}[/tex][tex]\begin{gathered} \text{Area = 2x}^2-2x-4 \\ \text{Height = x -2} \end{gathered}[/tex]Substituting these expressions into the formula for the area of a triangle:
[tex]\begin{gathered} 2x^2-2x-4\text{ = }\frac{1}{2}\times\text{ b }\times(x-2) \\ 2(2x^2-2x-4)\text{ = b (x - 2)} \\ 4x^2-4x-8\text{ = b (x-2)} \\ 4x^2-8x\text{ + 4x - 8 = b (x - 2)} \\ 4x(x\text{ - 2) + }4(x\text{ - 2) = b(x-2)} \\ (4x+4)(x-2)\text{ = b(x-2)} \\ b\text{ = }\frac{(4x+4)(x-2)}{(x-2)} \\ b\text{ = 4x + 4} \end{gathered}[/tex]b = 4 (x + 1)
The base of the triangle = 4(x + 1)