Answer:
[tex]\displaystyle \frac{2(x + 3)}{5x - 2}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to RightAlgebra I
Terms/CoefficientsFactoringStep-by-step explanation:
Step 1: Define
[tex]\displaystyle \frac{2x^2 + 16x + 30}{5x^2 + 13x - 6}[/tex]
Step 2: Simplify
[Fraction] Factor numerator: [tex]\displaystyle \frac{2(x + 3)(x + 5)}{5x^2 + 13x - 6}[/tex][Fraction] Factor denominator: [tex]\displaystyle \frac{2(x + 3)(x + 5)}{(x + 3)(5x - 2)}[/tex][Fraction] Divide: [tex]\displaystyle \frac{2(x + 3)}{5x - 2}[/tex]A certain town never has two sunny days in a row. Each day is classified as being either sunny, cloudy (but dry), or rainy. If it is sunny one day, then it is equally likely to be either cloudy or rainy the next day. If it is rainy or cloudy one day, then there is one chance in two that it will be the same the next day, and if it changes then it is equally likely to be either of the other two possibilities. In the long run, what proportion of days are sunny
Answer:
the proportion of days that are Sunny is 0.2
Step-by-step explanation:
Given the data in the question;
Using markov chain;
3 states; Sunny(1), Cloudy(2) and Rainy(3)
Now, based on given conditions, the transition matrix can be obtained in the following way;
[tex]\left[\begin{array}{ccc}0&0.5&0.5\\0.25&0.5&0.25\\0.25&0.25&0.5\end{array}\right][/tex]
so let the proportion of sunny, cloudy and rainy days be S, C and R respectively.
such that, from column 1
S = 0.25C + 0.25R -------------let this be equation 1
from column 2
0.5C = 0.5S + 0.25R
divided through by 0.5
C = S + 0.5R ---------------------- let this be equation 2
now putting equation 2 into equation;
S = 0.25(S + 0.5R) + 0.25R
S = 0.25S + 0.125R + 0.25R
S - 0.25S = 0.375R
0.75S = 0.375R
S = 0.375R / 0.75
S = 0.5R
Therefore,
from equation 2; C = S + 0.5R
input S = 0.5R
C = 0.5R + 0.5R
C = R
Now, we know that, the sum of the three proportion should be equal to one;
so
S + C + R = 1
since C = R and S = 0.5R
we substitute
0.5R + R + R = 1
2.5R = 1
R = 1/2.5
R = 0.4
Hence, the proportion of days that are Rainy is 0.4
C = R
C = 0.4
Hence, the proportion of days that are Cloudy is 0.4
S = 0.5R
S = 0.5(0.4)
S = 0.2
Hence, the proportion of days that are Sunny is 0.2
5у2 2is a power + бу - 4
Answer:
Its 5000
Step-by-step explanation 4883-3455=5000
Find the missing base
Marcy goal was to collect 10 cans of food for a local food bank. She collected 160 cans use the grid to model to understand how to write this as a ratio, a fraction
Answer:
We're told that Marcy collected 160 out of 10 cans. That could be expressed as 160/10, but given that the numerator and denominator are both divisible by 10, we can factor that out and express it as 16/1. You can also express it as ratio of 16:1 cans collected to cans intended.
Answer:
As a ratio, this is expressed as
✔ 160 to 100
As a fraction, this is expressed as
✔ 160/100
As a percent, this is expressed as
✔ 160%
Step-by-step explanation:
I just did it!
Find the value of x, given the figures
are similar.
10
30
36
A) 4
C) 90
B) 108
D) 12
Answer:
it's 12 cuz 36 divided by 3 is 12
what's is the magnitude of vector i+j+k
someone please help!!!
Answer:
y = 3x + 5 option A
Step-by-step explanation:
For 2 lines that are parallel with slopes m1 and m2, the slopes are equal. Hence
m1 = m2
Given the line y = 3x - 5 Comparing with the general equation of a line
y = mx + c where m is the slope of the line
m = 3
hence m1 = m2 = m = 3
For the line that passes through the given point (2,11) Using
y - y1 = m (x - x1)
y - 11 = 3(x - 2)
y - 11 = 3x - 6
Add 11 to both sides
y = 3x - 6 + 11
y = 3x + 5
Find the product
5/8 of 24
A. 8
B.15
C.11
D.9
Answer:
15
Step-by-step explanation:
HELP please!!!!!!!!!!
Answer 1 and 2 please.
Answer:
Give me the questions and I'll edit my answer
Step-by-step explanation:
Answer:
what the question then I'll edit answer ;-;
Step-by-step explanation:
3 examples of proportion in real life ?
Answer:
Proportion of games an NFL team wins.
Proportion of defective products in a shipment.
Proportion of voters of a certain candidate in an election.
Step-by-step explanation:
Proportion is a relationship between measures.
Examples in real life are:
Proportion of games an NFL team wins.
For example, this past regular season, the Buffalo Bills won 13 games out of 16, so the proportion of games won by the Bills is 13/16 = 0.8125.
Other possible examples are:
Proportion of defective products in a shipment.
Proportion of voters of a certain candidate in an election.
...
Kaitlyn solved the equation 5y=15 and found answer to be y=75. In complete sentence or two, explain what kaitylns error was? What did she do wrong? What is correct answer? Show your work and explain reasoning
Answer:
3
Step-by-step explanation:
Instead of dividing, Kaitlyn multiplied both sides by 5. Divide both sides by 5 to get the y by itself and you get 3
Answer:
y=3
Step-by-step explanation:
She assumed y=75, but if y=75 then you would multiply 75×5 and that doesn't equal 15. To find y you would need to divide 5 from both sides. Therefore 15÷5 would be equal to y=3. Hope this helps!
invests $8,000 in a savings plan that pays 5% per year. What will the account balance be at the end of the first year?
1. (a+2)²
2. (a-5)²
3. 3(a+b)
4. (a+2)(a-2)
5. (ab)⁴
6.- 3a(2a + 2b)
7. (2a-3)(a +2)
8. (8a+10b)(8a-10b)
9. (2a-3)³
10.-9a(3a+4b)
Answer:
a² + 4a + 4
Step-by-step explanation:
(a + 2) ² = (a + 2) ( a + 2)
= a ( a + 2) + 2 ( a + 2)
= a² + 2a + 2a + 4
= a² + 4a + 4
huh? sorry idont know the answer
Simplify completely*****
Answer:
[tex]\displaystyle x - 3[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Terms/CoefficientsFactoringStep-by-step explanation:
Step 1: Define
[tex]\displaystyle \frac{x^2 + 7x - 30}{x + 10}[/tex]
Step 2: Simplify
[Fraction] Factor numerator: [tex]\displaystyle \frac{(x - 3)(x + 10)}{x + 10}[/tex][Fraction] Divide: [tex]\displaystyle x - 3[/tex]Which of the following functions has a factor of x−7?
f(x)=x3−16x2+53x+63
f(x)=x3−2x2−73x−70
f(x)=x3−16x2+53x+70
f(x)=x3−2x2−73x−77
According to the question, the function that has a factor of x - 7 is f(x) = x³ - 16x² + 53x+ 70
If x - a is a factor of a function f(x), then f(a) = 0
For x - 7 to be a factor of f(x), f(7) must be equal to zero.
For f(x) = x³ - 16x² + 53x+ 70
f(7) = 7³ - 16(7²) + 53(7) + 70
f(7) = 343 - 16(49) + 53(7) + 70
f(7) = 343 - 784 + 371 + 70
f(7) = 0
Since f(7) = 0 for f(x) = x³ - 16x² + 53x+ 70, x - 7 is a factor of f(x) = x³ - 16x² + 53x+ 70
Learn more here: https://brainly.com/question/19273656
The solid contains a cylinder and a hemisphere. Find the volume of the composite solid. 4.4m radius and 5m height
Answer:
303.95 m^3
Step-by-step explanation:
Volume = πr2h
r= 4.4
h = 5
= 3.14 × 4.4^2 × 5
= 3.14 × 19.36 × 5
= 303.95
Hence the volume is 303.95 m^3
Question :-
The solid contains a cylinder and a hemisphere. Find the volume of the composite solid that has a radius of 4.4 m and a height of 5 m.Answer :-
The volume of the composite solid is 303.952 m³.[tex] \rule{180pt}{4pt}[/tex]
Diagram :-
[tex]\setlength{\unitlength}{1mm}\begin{picture}(5,5)\thicklines\multiput(-0.5,-1)(26,0){2}{\line(0,1){40}}\multiput(12.5,-1)(0,3.2){13}{\line(0,1){1.6}}\multiput(12.5,-1)(0,40){2}{\multiput(0,0)(2,0){7}{\line(1,0){1}}}\multiput(0,0)(0,40){2}{\qbezier(1,0)(12,3)(24,0)\qbezier(1,0)(-2,-1)(1,-2)\qbezier(24,0)(27,-1)(24,-2)\qbezier(1,-2)(12,-5)(24,-2)}\multiput(18,2)(0,32){2}{\sf{4.4 \: m}}\put(9,17.5){\sf{5 \: m}}\end{picture}[/tex]
Solution :-
As per provided information in the given question, we have been given that the Radius of a cylinder is 4.4 meters. The height of a cylinder is 5 meters. We have been asked to find the volume of a cylinder.
To calculate the volume of a cylinder, we will apply the formula below :-
[tex] \bigstar \: \: \: \boxed{ \sf{ \: \: Volume_{(Cylinder)} = \pi r^2 h \: \: }}[/tex]
Substitute the given values into the above formula and solve for Volume :-
[tex]\sf:\implies Volume_{(Cylinder)} = \pi r^2 h[/tex]
[tex]\sf:\implies Volume_{(Cylinder)} = (3.14)(4.4 \: m)^2(5 \: m)[/tex]
[tex]\sf:\implies Volume_{(Cylinder)} = (3.14)(19.36 \:m^2)(5 \: m)[/tex]
[tex]\sf:\implies Volume_{(Cylinder)} = (60.7904 \:m^2)(5 \:m)[/tex]
[tex]\sf:\implies\bold{Volume_{(Cylinder)} = 303.952 \: m^3}[/tex]
Therefore :-
The volume of the composite solid is 303.952 m³.[tex]\\[/tex]
Learn more about the Volume of a Cylinder at https://brainly.com/question/15197979
Have a great day! <33
what is 18,693.51 as 2dp
Answer:
What are u even talking about
Step-by-step explanation:
Marla mixed cream and milk in a ratio of
2 parts cream to 3 parts milk. How many
liters of each did she use if she made 20 liters
Answer:
If it says she made 20 liters of cream then She has 30 liters of milk
Step-by-step explanation:
2 cream x 10 = 20
3 milk x 10 = 30
Hope this helps!
Plz make me Brainliest.
BRAINLIEST! What is the slope of the line ?
Answer:
[tex]\displaystyle m=\frac{-4}{5}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Reading a Cartesian planeCoordinates (x, y)Slope Formula: [tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]Step-by-step explanation:
Step 1: Define
Find points from graph.
Point (-3, 1)
Point (2, -3)
Step 2: Find slope m
Simply plug in the 2 coordinates into the slope formula to find slope m
Substitute in points [Slope Formula]: [tex]\displaystyle m=\frac{-3-1}{2+3}[/tex][Slope] Subtract/Add: [tex]\displaystyle m=\frac{-4}{5}[/tex]what is 7/8 days in hours
Are 2(x - 3) + 1 and 2x + 6 equivalent expressions
Answer:
No.
Step-by-step explanation:
2(x-3) + 1 = 2x - 6 + 1 = 2x - 5
2x + 6 ≠ 2x -5, so no, they aren't equivalent.
The expression 2(x - 3) + 1 and 2x + 6 are not Equivalent.
What is Equivalent Expression?Equivalent expressions are expressions that perform the same function notwithstanding their appearance. If two algebraic expressions are equivalent, they have the same value when the same value(s) for the variable are used (s).
We have two expressions to compare 2(x- 3) + 1 and 2x +6 .
Now, simplifying the first expression as
= 2(x -3) + 1
= 2x - 6 +1
= 2x - 5
and, the second expression is 2x + 6.
Thus, both of expression are not Equivalent.
Learn more about Equivalent Expression here:
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will received a 2% increase in pay, He was making $1,190/biweekly.
a. How much was his raise?
b. How much is he making now?
Answer:
A: His raise was $23.8
B: He is making $1213.8
Step-by-step explanation:
Do 1190 divided by 100 and your answer will be
11.9 which is 1%, then do (11.9 + 11.9) + 1190 which will equal 1213.8
a. Will's raise was the amount of $23.80. b. Will is now making $1,213.80 biweekly.
What is the percentage?The percentage is defined as a ratio expressed as a fraction of 100.
For example, If Misha obtained a score of 67% on her exam, that corresponds to 67 out of 100. It is expressed as 67/100 in fractional form and as 67:100 in ratio form.
Will receive a 2% increase in pay, He was making $1,190/biweekly.
a. Will's raise was $23.80. This can be calculated by multiplying his original biweekly payments of $1,190 by 2% (0.02).
b. Will is now making $1,213.80 biweekly. This can be calculated by adding his raise of $23.80 to his original biweekly payments of $1,190.
Learn more about the percentages here:
brainly.com/question/24159063
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11). Miguel has $87,255 in a savings account that earns 9% interest per year in simple interest. To the nearest cent, how much will he have in 4 years? OA). $31,411.80 O B). $123,167.55 O C). $35,912.55 OD). $118,666.80
Answer:
[tex]A). \: \$31,411.80[/tex]
Step-by-step explanation:
[tex]s.i = \frac{p \times r \times t }{100} \\ \\ s.i = \frac{87255 \times 9 \times 4}{100} = 31,411.8[/tex]
Answer:A
Step-by-step explanation:
A pond holds 1920 gallons of water. There is a leak and the amount of water drops 20 gallons every hour. How much water is in the pond after 2 days ?
Answer:
20 times an hour so 20 times 48 is 960 1920-960 is 960 gallons so there is 960 gallons of water left
Answer:
960 gallons
Step-by-step explanation:
20 gallons * 48 hous =960 gallons
1920 - 960 =960 gallons.
1/3 plus 1/4 so what is the answer
Answer:
The answer is 7/12
Answer:
7/12
Step-by-step explanation:
Kona wants to bake at most 30 loaves of banana bread and nut bread for a bake sale. Each loaf of banana bread sells for $2.50, and each loaf of nut bread sells for $2.75. Kona wants to make at least $44. Which system of inequalities models the situation
Answer:
The system of inequalities that models the situation is
Step-by-step explanation:
Given:
Total number of banana bread and nut bread must be atmost 30
Cost of one banana bread = $2.50
Cost of one nut bread = $2.75
Kona wants to make at least $44
To Find:
The system of inequalities models the situation
Solution:
Let the number of banana bread loaves be x
Let the number of nut bread loaves be y
Then kona wants to make at most 3 loaves of bread,
So...
Then By selling one banana bread to $2.50, and each loaf of nut bread sells for $2.75,Kona wants to make at least $44. TvT hope this helps
HELP ME PLS ASAP PLS PLZ
Answer:
11.5x 4.5-8 wayy easier all you do is add and multiply
Please help me please !
Answer:
A) (a+2)(a-2)
Step-by-step explanation:
The answer is A.
pls help the question is in the picture