Work Shown:
Old area = 12*15 = 180 square feet
New area = 18*22 = 396 square feet
Difference = New - Old = 396 - 180 = 216
The patio's area increased by 216 square feet.
Determine whether each relation is a function and give a reason?
1. {(24, 1) , (21 , 4 ) , (3 , 22) , (24 ,5)}
2. y= x + 3
Answer:1.1.this relation is function because domains are not repeated
Step-by-step explanation:
How much is Pete's 12%
commission
on $50,000 in sales
I NEED THIS IM FAILING MATH PLSSSS
The circumference of a circle is 10π ft. What is the area, in square feet? Express your answer in terms of \piπ.
Answer:
A = 25π square feet
Step-by-step explanation:
C = 2πr
10π = 2πr
10π = 2πx
10π / 2π = 2πx / 2π
5 = x
This means 5 is the radius of the circle. We now need to find the area:
A = πr[tex]r^{2}[/tex]
A = π(5)²
A = π(25)
A = 25π
Translate the following:
"twice the sum of a number and three is eighteen"
Answer:
7.5
Step-by-step explanation:
how i figured it is 18-3 is 15
2*7 is 14 so in turn 7.5 *2 is 15 so
z=7.5
This can be represented in the form of an equation as: 2(x + 3) = 18.So, the correct Answer is A. 2(x+3)=18.
The correct translation of the given sentence is:" twice the sum of a number and three is eighteen".
The equation "2(x + 3) = 18" correctly represents the statement "twice the sum of a number and three is eighteen."
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Which of the following are square roots of 576
A. -24
B. 5761/2
C. 48
D. 24
E. 12
F. -5761/2
The square root of 576 is the inverse of the mathematical operation of squaring the number 24. The square root of a number implies a number whose product with itself gives the initial number. Now we will calculate the square root of 576 using various methods and a few interesting facts and problems too.
Square root of 576: 24Square of 576: 331776What Is the Square Root of 576?The square root of 576 can be written as √576 and (576)1/2
The square of 576 will be a number(a) such that a × a = 576
And 24 × 24 = 576 also -24 × -24 = 576
Therefore, +24 and -24 are the square root of 576
Is Square Root of 576 Rational or Irrational?The square root of 576 are +24 and -24.
Both numbers are integers and we know that all integers are rational numbers.
Hence, the square root of 576 is a rational number.
Writing 0.0725 in simplest fraction form gives the result: 29 29 (A) (B) 4000 400 129 (C) 29 40 (D) 400
Answer:
29/400
Step-by-step explanation:
Converting 0.0725 to a fraction
0.0725725/10000 [Divide by 25]29/400The simplified fraction form of 0.0725 is 29/400.
FractionA fraction is used to indicate a piece of something larger. It depicts the whole's equal pieces. The numerator and denominator are the two elements of a fraction.
How to find the simplest fraction?The given value is 0.0725.
Multiply numerator and denominator by 10000
then 0.0725 = 725/10000
To simplify divide numerator and denominator by 25
then 725/10000 =29/400
Hence the simplify fraction form is 29/400.
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Can Someone Explain? The Question Is In The Picture!
[tex](256)^{\tfrac 14}\\\\=(4^4)^{\tfrac 14}\\\\=4^{\tfrac 44}\\\\=4^1 \\\\= 4\\\\\\27^{\tfrac 13}\\\\=(3^3)^{\tfrac 13}\\\\=3^{\tfrac 33} \\\\=3^1\\\\=3[/tex]
Determine the solution to each of the following single variable equations. A. x-4=1/2(x+3) B -4x=1/2(-8+2) C. 3-2(-3x+1)=6x+1 D. 0.5(x+3)=-3(x-0.5)
Answer:
A. x = 11
B. x = 3/4 (or 0.75)
C. any value
D. x = 0
Step-by-step explanation:
hope this helps:)
Consider the following information regarding the performance of a money manager in a recent month. The table
represents the actual return of each sector of the manager's portfolio in column 1, the fraction of the portfolio
allocated to each sector in column 2, the benchmark or neutral sector allocations in column 3, and the returns of
sector indices in column 4.
Index Re
Actual Return
2.28
Actual Weight
0.4
Benchmark Weight
0.5
Equity
Bonds
Cash
2.78 (S&P 500)
1.5 (Barclay's Age
1.1
0.2
0.2
0.7
0.4
0.3
0.8
Required:
a-1. What was the manager's return in the month? (Do not round intermediate calculations. Input all amounts as
positive values. Round your answer to 2 decimal places.)
ces
The manager's return in the month is
%
a-2. What was her overperformance or underperformance? (Do not round intermediate calculations. Input all
amounts as positive values. Round your answer to 2 decimal places.)
a-1. The manager's return in the month, based on the performance table information, is 1.38%.
a-2. The manager's underperformance is 0.51% (1.89 - 1.38).
What is a manager's underperformance?A manager's underperformance occurs when the manager delivers results below expectation.
For instance, the weighted benchmark return was expected to be 1.89%, but the manager achieved an actual weighted return of 1.38%.
Data and Calculations:(1) Actual (2) Actual (3) Benchmark (4) Index
Return Weight Weight Return
Equity 2.2% 0.4 0.5 2.7% (S&P 500)
Bonds 1.1 0.2 0.2 1.5 (Barclays Aggregate Bond index)
Cash 0.7 0.4 0.3 0.8
(1) Actual (2) Actual Weighted
Return Weight Returns
Equity 2.2% 0.4 0.88%
Bonds 1.1 0.2 0.22
Cash 0.7 0.4 0.28
Weighted Returns = 1.38%
Benchmark (4) Index Weighted
Weight Return Benchmark
Equity 0.5 2.7% (S&P 500) 1.35% (0.5 x 2.7)
Bonds 0.2 1.5 (Barclays 0.30 (0.2 x 1.5)
Aggregate Bond index)
Cash 0.3 0.8 0.24 (0.3 x 0.8)
Weighted Benchmark Return = 1.89%
Thus, there was a comparative underperformance of 0.51%.
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Please help me on this
to get the equation of any straight line, we simply need two points off of it, so hmm let's use the two points you see in the picture below from the provided table.
[tex](\stackrel{x_1}{1}~,~\stackrel{y_1}{-1})\qquad (\stackrel{x_2}{4}~,~\stackrel{y_2}{5}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{5}-\stackrel{y1}{(-1)}}}{\underset{run} {\underset{x_2}{4}-\underset{x_1}{1}}}\implies \cfrac{5+1}{3}\implies 2 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-1)}=\stackrel{m}{2}(x-\stackrel{x_1}{1}) \\\\\\ y+1=2x-2\implies y=2x-3[/tex]
What might factor into a cost of your house that would not factor into the cost for of rebuilding it?
There are 25 women in a class of 35 students. Find the percent of men in the class to the nearest tenth of a percent.
Answer:
28.57
Explanation:
35 is the total amount of students.
25 is the amount of women in the class, we can assume the rest are men.
35 Total students - 25 women = 10 men
10 men, 35 Total students
(10/35) × 100 = 28.57%
There are 35,783 police officers in the city. 1/5 of them are females. There are about ___ male police officers in the city.
Answer:
7156.6 Women. 28624 Men.
Step-by-step explanation:
I used a web browser and typed "35783/5" That answers the woman part. "4/5 of 35783" Solves the male part.
There are about 4/5th = 28626 male police officers in the city.
What is a percentage?Percentage is defined as "out of 100." Similar to fractions and decimals, percentages are used in mathematics to represent subsets of a whole.
Given, there are 35,783 police officers in the city.
1/5 of them are females.
That means, 1/5th = 20%
20% are female police officers.
And 100 -20 = 80% are the male police officers.
To find the number of male police officers:
80% of 35,783
= 35783 x 80 / 100
= 28626.4
= 28626 approximated
Therefore, 4/5th male police officers in the city are 28626.
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IF CORRECT ILL MARK BRAINLIEST
FIND THE SURFACE AREA OF THE CYLINDER
Answer: A≈1015.4
Step-by-step explanation:
A=2πrh+2πr2=2·π·8·12.2+2·π·82≈1015.36275
Answer:
407 mm²
Step-by-step explanation:
The formula for the surface area of a clyinder is: A = 2[tex]\pi[/tex]r · (r + h)
Plugging in the given values, we have: A = 2[tex]\pi[/tex]4 · (4 + 12.2)
A = 2[tex]\pi[/tex]4 · (4 + 12.2)
A = 2[tex]\pi[/tex]4 · 16.2
A = 2(3.14)4 · 16.2
A = 406.944
A = 407 (rounded)
hope this helps!
PLEASE HELP!
which of the following choices is the area if the length is 8x and the width is 3y-2
Answer:
None of them are correct.
Step-by-step explanation:
The correct one would be 8x - 3y-2
What primarily drew early civilizations to the places they first populated?
A. Religious freedom
B. Governmental policies
C. Economic development
D. Physical geography
Answer:
gg8jhytufgkl
Step-by-step explanation:
Chaz kept a record of how many gallons of gas he purchased each day last week. Drag and drop the days into the correct boxes to order the days from the least amount of gas Chaz purchased to the greatest amount of gas Chaz purchased.
Day Gas (in gallons)
Monday 4.5
Tuesday 3.6
Wednesday 4.258
Thursday 3.77
Friday 4.252
HELP MEEE!!!
I'm in 5th grade btw
¿Cuál es el dominio de esta función?
What is the value of X?
Answer:
x is 54˚
Step-by-step explanation:
Opposite angles are equalTherefore [tex]2x+2=3x-52[/tex]Subtract 2x from both sides[tex]2=x-52[/tex]Add 52 to both sides[tex]x=54[/tex]Answer:
x = 54°
Step-by-step explanation:
Forming the equation,
→ (2x + 2)° = (3x - 52)°
Now the value of x will be,
→ (2x + 2)° = (3x - 52)°
→ 2x - 3x = -52° - 2°
→ -x = -54°
→ [ x = 54° ]
Hence, the value of x is 54°.
Giselle works as a carpenter and as a blacksmith.
She earns $20per hour as a carpenter and $25dollar sign per hour as a blacksmith. Last week, Giselle worked both jobs for a total of 30 hours, and earned a total of $690
How long did Giselle work as a carpenter last week, and how long did she work as a blacksmith?
Answer:
she worked 12 hours as a carpenter and 18 hours as a blacksmith
Step-by-step explanation:
Let x = the number of hours for which she worked as a carpenter
Let y = be the number of hours for which she worked as a blacksmith
Total numbers of hours she worked = 30
x + y = 30 (1)
she earned a total $690. She earned $20 dollar per hour as a carpenter and $25 per hour as a blacksmith.
20 x + 25 y = 690 (2)
Equation (2) - 20 × Equation (1),
We get,
5 y = 90 ⇒ y = 18
After substituting this value in equation (1),
We get, x = 12,
Hence, She worked as a carpenter = x hours = 12 hours
And, as a blacksmith = y hours = 18 hours
Can someone please help
Answer:
12
Step-by-step explanation:
Volume of a sphere = 4/3 pi r^3 r = 3 for this one
volume = 4/3 pi (3^2) = 36/3 pi = 12 pi units^3
Money is borrowed at %18 simple interest. After one year, $981.76 pays off the loan. How much was originally borrowed?
Answer:
$805.0432
Step-by-step explanation:
118% was paid, so the original would be 82% of 981.76 (100-18), which is $805.0432 (rounds to $805.04)
In a group of 30 students, the probability that at most 25 of them lime to swim is 45% what is the probability that at least 26 of them like to swim
Its 62%
I took the test
Write a function to represent the set of ordered pairs. {(2, -1), (4, 5), (6, 15), (8, 29)}
Answer:
(7, 32), In this situation you could put any ordered pair but it just has to be different than the x variables shown. The y values can be the same, only the x values really count ♀️
How is this answer correct?
Circumference is diameter x pi so the diameter of the circle is 11.
Radius is half the diameter so the radius is 11/2 = 5.5
area of a circle is r^2 x pi
Area = 5.5^2 x pi
5.5^2 = 30.25
Area = 30.25pi
what is the slope of the line that passes through (2,5) and (-3,15)
Answer:
The slope is -2, or -2/1.
Step-by-step explanation:
[tex]m = \frac{15 - 5}{ - 3 - 2} = \frac{10}{ - 5} = - 2 = - \frac{2}{1} [/tex]
50 points each question. Please help. How do I solve?
Answer:
Here's your solution mate..
Given the functions:
f(x) = 7x + 2
g(x) = -18x + 2
h (x) = –19x – 11
-
Find g (-8)
Graph 4x^2-16 divided by 2x-4
Answer:
2x+4
Step-by-step explanation:
factor 4x²-16
=(2x+4)(2x-4)
=(2x+4)(2x-4)/ 2x-4
cancel out the common factors of 2x-4
Answer= 2x+4
find the value of this answer
Answer:
3
Step-by-step explanation:
[tex]\sqrt[3]{27} =\sqrt[3]{(3)(3)(3)} =\sqrt[3]{(3)^3}= 3[/tex]
BRAINLIEST please if this helped!Answer: 3.............
Step-by-step explanation: