Which statement verifies that f(x) and g(x) are inverses of each other?.
Answer:
f(g(x)) = g(f(x)) = x
which is the same as
(f ° g)(x) = (g ° f)(x) = x
Step-by-step explanation:
If the functions are inverses of each other, they will yield just x when they are composed together. Being inverses is like one function "UNDOES" the other (this is not a technical term).
Answer:
it's D!!!!!!!
Step-by-step explanation:
What is the angle GXI
Answer:
60
Step-by-step explanation:
They're made up of two 30 degree angles so it's 60 because 30 + 30 = 60.
A person with a _____ is expected to earn an average of $52,200 each year. A bar graph titled Average Annual Earnings for College Graduates and Non-Graduates. A Professional Degree is 109,600 dollars. Doctoral Degree is 89,400 dollars. Master's Degree is 62,300 dollars. Bachelor's Degree is 52,200 dollars. Associate's Degree is 38,200 dollars. Some College is 36,800 dollars. High School Diploma is 30,400 dollars. Some High School is 23,400 dollars. A. Master’s Degree b. High School Diploma c. Bachelor’s Degree d. Doctoral Degree Please select the best answer from the choices provided A B C D.
Answer:
D
Step-by-step explanation:
Professional Degree
A person with a Bachelor's Degree is expected to earn an average of $52,200 each year. Thus, option c is correct.
The average is defined as the sum of all observation to the total number of observation.
Given that:
Professional Degree: $109,600
Doctoral Degree: $89,400
Master's Degree: $62,300
Bachelor's Degree: $52,200
Associate's Degree: $38,200
Some College: $36,800
High School Diploma: $30,400
Some High School: $23,400
The best answer from the choices is Bachelor's Degree. Thus, option c is correct.
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Is it possible to write a polynomial of degree 3 with zeros at 5, 3 and 8i? Explain your reasoning.
Answer:
No
Step-by-step explanation:
Because if 8i is a zero then -8i is also a zero. That means you now have four zeros, so the function is at least a fourth degree (quartic) function.
It is not possible to write a polynomial of degree 3 with zeros 5, 3 and 8i.
What is degree of polynomial?
A polynomial’s degree is the highest or the greatest power of a variable in a polynomial equation.
The degree of a polynomial is equal to the real zeros of the polynomial. Real zeros of the polynomial are 5 and 3 only. 8i is a complex number. Thus degree of the polynomial is 2.
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What property was applied to solve the equation below? 0. 36 x = negative 1. 8 0. 36 (divided by 0. 36) x = negative 1. 8 (divided by 0. 36) x = negative 5 Addition Property of Equality Subtraction Property of Equality Multiplication Property of Equality Division Property of Equality.
The property of equality applied to solve the equation is division property of Equality.
What is the property of equality?Property of equality says that by performing any mathematical operation, of both sides of an expression does not change the original value of the equation.
The equation given in the problem is,
[tex]0.36 x = -1. 8[/tex]
This equation is solved further by dividing both side of the expression with decimal number 0.36 as,
[tex]\dfrac{0.36}{0.36}x = -\dfrac{1. 8}{0.36}\\x=-5[/tex]
Here, the division operation is performed both sides of the equation to solve the equation. This does not change the original value of the equation and gives the value of unknown number.
Thus, the property of equality applied to solve the equation is division property of Equality.
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HELP ME WITH A AND B
Answer:
bike: 4,800cm
go-cart: 3000cm
skateboard: 2743.2cm
scooter: 2590.8cm
Step-by-step explanation:
1) keep in mind: 100in=254cm 12 in=1ft
skateboard: 90ft=1080in=2743.2cm
scooter: 1020in=2590.8cm
bike: 4,800cm
go-cart: .03km=30m=3000cm
Fastest to slowest: bike, go-cart, skateboard, scooter
Simplify (2^9• 3^5) • (2^4•3)^2
Answer:
[tex]286654464[/tex]
Step-by-step explanation:
first, write the equation:
[tex](2^{9}*3^{5} )*(2^{4} *3)^{2}[/tex]
solve in the parentheses from left to right:
[tex](2^{9} *3^{5} )[/tex]
solve for [tex]2^{9}[/tex]:
[tex]2*2*2*2*2*2*2*2*2=512[/tex]
then solve for [tex]3^{5}[/tex]:
[tex]3*3*3*3*3=243[/tex]
So the equation will be as:
[tex](512*243)*(2^{4} *3)^{2}[/tex]
simplify:
[tex]124416*(2^{4} *3)^{2}[/tex]
solve for [tex](2^{4} *3)^{2}[/tex]:
[tex]2*2*2*2=16\\(16*3)=48[/tex]
complete equation:
[tex]124416*(48)^{2}[/tex]
the answer will be:
[tex]124416*(48)^{2} =\\124416*48*48=\\286654464[/tex]
find the value of y in the following image
Answer:
"y" would be 120 degrees. The image is a parallelogram.
Step-by-step explanation:
Elliot makes and sells key chains. His profit depends on what price he charges for a key chain. He writes the expression (1 - 10) (60 - 3x) to represent his profit based on the price per key chain, I. Profit (S) 40+ 20+ Use the drop-down menus to complete the statements about Elliot's profit.
Using the vertex of the quadratic function, it is found that his maximum profit is of $75 when he charges $15 for a key-chain.
What is the vertex of a quadratic equation?A quadratic equation is modeled by:
[tex]y = ax^2 + bx + c[/tex]
The vertex is given by:
[tex](x_v, y_v)[/tex]
In which:
[tex]x_v = -\frac{b}{2a}[/tex]
[tex]y_v = -\frac{b^2 - 4ac}{4a}[/tex]
Considering the coefficient a, we have that:
If a < 0, the vertex is a maximum point.If a > 0, the vertex is a minimum point.In this problem, the function is:
[tex]f(x) = (x - 10)(60 - 3x)[/tex]
In standard format, it is given by:
[tex]f(x) = -3x^2 + 90x - 600[/tex]
Which means that it's coefficients are a = -3, b = 90, c = -600.
Hence:
[tex]x_v = -\frac{90}{2(-3)} = 15[/tex]
[tex]y_v = -\frac{90^2 - 4(-3)(-600)}{4(-3)} = 75[/tex]
Hence, his maximum profit is of $75 when he charges $15 for a key-chain.
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Evaluate cos 315º without using a calculator.
a
Plz help
Answer:
O A. -1/2
Step-by-step explanation:
I hope it's help..
A drum of oil has a height of 4 feet and a radius of 1. 2 feet. The oil cost $22 per cubic feet. What is the cost to fill the drum of oil? Use 3. 14 for pi. Round only your final answer to the nearest penny. Enter your answer in the box. $.
The volume of the oil is 18.0864 that is filled at a rate of $22 then the cost to fill the drum of oil is $397.9.
What is Geometry?It deals with the size of geometry, region, and density of the different forms both 2D and 3D.
What is a cylinder?A cylinder is a closed solid that has two parallel circular bases connected by a curved surface.
Given
A drum of oil has a height of 4 feet and a radius of 1.2 feet.
The oil costs $22 per cubic foot.
We know the volume of the cylinder
[tex]\rm Volume = \pi r^2h\\\\Volume = \pi *1.2^2 * 4\\\\Volume = 3.14 *1.44*4\\\\Volume = 18.0864[/tex]
The cost to fill the drum of oil will be
cost to fill the drum of oil = 22 x 18.0864
cost to fill the drum of oil = 397.9
Thus, The cost to fill the drum of oil is $397.9.
More about the geometry and cylinder link is given below.
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Hi can someone help me with this please
Answer:
Look at explanation.
Step-by-step explanation:
10*10 = 100
25 = 100/4
7*3+3=25-1
21+3=25-1
24=24
6*3=16/2
18 is not equal to 8
27 - 20 = 9-2
7 = 7.
Answer:
(a) False
(b) True
(c) True
(d) Tue
(e) False
(f) True
Step-by-step explanation:
[tex]\large \boldsymbol{\sf (a)\ 15 + 5 = 30}[/tex]
[tex]\large \boxed{\begin{minipage}{2.2 cm}\begin{aligned}\sf 15 + 5 & = \sf 30\\\sf 20 & = \sf 30\end{aligned}\\\\\implies \textsf{False}\end{minipage}}[/tex]
..................................................................................................................................................
[tex]\large \boldsymbol{\sf (b)\ 5 (7) - 3 = 32}[/tex]
[tex]\large \boxed{\begin{minipage}{2.48 cm}\begin{aligned}\sf 5 (7) - 3 & = \sf 32\\\sf 35 - 3 & = \sf 32\\\sf 32 & = \sf 32\end{aligned}\\\\\implies \textsf{True}\end{minipage}}[/tex]
..................................................................................................................................................
[tex]\large \boldsymbol{\sf (c)\ 25 = \dfrac{10^2}{4}}[/tex]
[tex]\large \boxed{\begin{minipage}{1.8 cm}\begin{aligned}\sf 25 & = \sf \dfrac{10^2}{4}\\\sf 25 & = \sf \dfrac{100}{4}\\\sf 25 & = \sf 25\end{aligned} \\\\\implies \textsf{True}\end{minipage}}[/tex]
..................................................................................................................................................
[tex]\large \boldsymbol{\sf (d)\ 7 (3) + 3 = 5^{2} - 1}[/tex]
[tex]\large \boxed{\begin{minipage}{3.2 cm}\begin{aligned}\sf 7 (3) + 3 & = \sf 5^2 - 1\\\sf 21 + 3 & = \sf 25 - 1\\\sf 24 & = \sf 24\end{aligned}\\\\\implies \textsf{True}\end{minipage}}[/tex]
..................................................................................................................................................
[tex]\large \boldsymbol{\sf (e)\ 6 (11 - 8) = \dfrac{16}{2}}[/tex]
[tex]\large \boxed{\begin{minipage}{2.8 cm}\begin{aligned}\sf 6 (11 - 8) & = \sf \dfrac{16}{2}\\\sf 6 (3) & = \sf 8\\\sf 18 & = \sf 8\end{aligned}\\\\\implies \textsf{False}\end{minipage}}[/tex]
..................................................................................................................................................
[tex]\large \boldsymbol{\sf (f)\ 3^{3} - 4(5) = |-9| - 2}[/tex]
[tex]\large \boxed{\begin{minipage}{3.88 cm}\begin{aligned}\sf 3^3 - 4 (5) & = \sf |-9| - 2\\\sf 27 - 20 & = \sf 9 - 2\\\sf 7 & = \sf 7\end{aligned}\\\\\implies \textsf{True}\end{minipage}}[/tex]
Find the mZMNI.
M
15x – 12
L
6x
12x+2
N I
Answer:
The measure of angle MNI is 134 degrees
Step-by-step explanation:
That angle is equal to the sum of the opposite angles so I found x=7 and when you plug in 7 you get 135
The circle below shows the grades scored by students in Mr Halls first period class on a math test.
Based on the information in the hraph if 20 students in me halls third period class take the same test. Which of the following in the best prediction of how many more students will score c on test than. B in his third period class
Answer:
4 more students
Step-by-step explanation:
50 percent of 20 is 10 and 30 percent of 20 is 6 so 10-6=4
Answer:
4 more studentsStep-by-step explanation:
C grade is 50% and B grade is 30%.
The difference is:
50% - 30% = 20%If the number of students is 20, then the difference is:
20% of 20 = 20*20/100 = 42,956 divided by 67 estimate
Answer:
44.11940299 this is the answer
Find the slope of the line that passes through 2,9 and 5,7
Answer:
-2/3
Step-by-step explanation:
Y2-Y1= -2
X2-x1 =3
Y/x= slope
this is math please help me asap
[tex] \\ \\ [/tex]
To find:-Area of circle[tex] \\ \\ [/tex]
Let :Area of circle be A.[tex] \\ \\ [/tex]
We know:
[tex] \\ [/tex]
[tex] \bigstar \boxed{ \rm Area \: of \: circle \: = \pi {r}^{2} }[/tex]
[tex] \\ \\ [/tex]
So:-
[tex] \dashrightarrow\sf A= \pi {r}^{2} [/tex]
[tex] \\ \\ [/tex]
[tex] \dashrightarrow\sf A=\pi \times {8}^{2} [/tex]
[tex] \\ \\ [/tex]
[tex] \dashrightarrow\sf A= \pi \times 8 \times 8[/tex]
[tex] \\ \\ [/tex]
[tex] \dashrightarrow\sf A= \pi \times 64[/tex]
[tex] \\ \\ [/tex]
[tex] \dashrightarrow\sf A= 64\pi \: ft {}^{2} [/tex]
[tex] \\ \\ [/tex]
Therefore option A is correct
know more:-[tex]\small\begin{gathered}\begin{gathered}\begin{gathered}\boxed{\begin {array}{cc}\\ \dag\quad \Large\underline{\bf \small{Formulas\:of\:Areas:-}}\\ \\ \star\sf Square=(side)^2\\ \\ \star\sf Rectangle=Length\times Breadth \\\\ \star\sf Triangle=\dfrac{1}{2}\times Base\times Height \\\\ \star \sf Scalene\triangle=\sqrt {s (s-a)(s-b)(s-c)}\\ \\ \star \sf Rhombus =\dfrac {1}{2}\times d_1\times d_2 \\\\ \star\sf Rhombus =\:\dfrac {1}{2}d\sqrt {4a^2-d^2}\\ \\ \star\sf Parallelogram =Base\times Height\\\\ \star\sf Trapezium =\dfrac {1}{2}(a+b)\times Height \\ \\ \star\sf Equilateral\:Triangle=\dfrac {\sqrt{3}}{4}(side)^2\end {array}}\end{gathered}\end{gathered}\end{gathered}[/tex]
what is the decimal form of five tenths and three hundredths
Answer:
0.53
Step-by-step explanation:
You just have to know the placements.
Jack is conducting a survey of students in the school. Of the students, 549 prefer vanilla ice cream and 671 prefer chocolate ice cream. What percentage of the total students prefer vanilla ice cream?
Answer:
45% of students prefer vanilla ice cream.
Step-by-step explanation:
549 + 671 = 1220 total students
549 / 1220 = 0.45 or 45%
Answer:
81.82 or 122.22 one of them sorry I'm not very specific :0
Step-by-step explanation:
10e=1 what does e equal need this asap
Answer:
To solve for e, divide 10 from each side.. 1 divided by 10 e=0.1
What’s the answer for these 2 questions?
1)
[tex]\displaystyle\\\frac{1}{3} ;\frac{1\times2}{3\times2} =\frac{2}{6} ;\frac{4}{12} \\\\\frac{2\div2}{4\div2} =\frac{1}{2} ;\frac{2}{4} ;\frac{2\times2}{4\times2} =\frac{4}{8}[/tex]
2)
[tex]\displaystyle\\\frac{1}{12} ;\frac{1\times2}{12\times2} =\frac{2}{24} ;\frac{3}{36} \\\\\frac{2\div2}{12\div2} =\frac{1}{6} ;\frac{2}{12};\frac{1\times3}{6\times3} =\frac{3}{18} \\\\\frac{1}{4} ;\frac{1\times2}{4\times2}=\frac{2}{8} ;\frac{3}{12}[/tex]
Emily is reading a stapled comic, but 4 of
the pages are missing.
Pages 6 and 39 are missing.
Which other pages are missing?
How many pages did the comic have
originally?
Pages 5 and 40 are missing and comic had originally 40 pages.
How to find the missing number of pages and the number of pages of the comic
Let suppose first that there are no more sheets beyond the sheet containing page 39. A sheet contains two pages, one in front and odd numbered and one behind and even numbered.
If two pages are missing, then another two are missing. According all assumptions, we conclude that pages 5 and 40 are missing and that comic had originally 40 pages. [tex]\blacksquare[/tex]
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People donot use this road very often. change it into passive voice
Answer:
this road is not used by people very often
Solve for a and b
c = 1
Answer:
a=?,b=?,c=1
1=ab
1xab
=ab
1=a,1=b
=a=1,b=1
I don't get what there asking.
Answer:
86 adults and 270 children
Step-by-step explanation:
Let x = # of adult tickets;
then the number of children tickets is (356-x).
Write the total money equation (revenue equation)
[tex]1.75*(356-x) + 2.25x = 666[/tex] dollars.
From the equation
[tex]x = \frac{666-1.75*356}{2.25-1.75} = 86[/tex]
ANSWER. 86 adults and 356-86 = 270 children.
CHECK.
[tex]86*2.25 + 270*1.75 = 666[/tex] dollars. ! Correct !
Which sampling would be appropriate to survey 120,00 people?
A. 12,000
B. 1,200
C. 120
D. 12
Answer:
option c
Step-by-step explanation:
120 sampling would be enough
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Isaiah is jogging near his college. He runs south along Capitol Street for about 0. 75 miles and east along H Street for about 1. 2 miles. He then turns left and runs along Florida Avenue until he reaches his starting point. How long is his total run to the nearest hundredth of a mile? A triangle. The sides are Capitol Street, H Street, and they hypotenuse is Florida Avenue. 2. 89 miles 3. 37 miles 3. 67 miles 3. 92 miles.
Answer:
His total run is approximately 3.37 miles.
Step-by-step explanation:
Let F represents his starting point, C represents his position from where he went to east direction and H represents his position from where he went to left towards Florida Avenue.
Thus, according to the question,
FC = 0.75 miles,
CH = 1.2 miles,
By making the diagram,
∠FCH = 90°,
By Pythagoras theorem:
Hence, the total distance he covered = FC + CH + FH
= 0.75 + 1.2 + √2.0025
= 3.36509716981
≈ 3.37 miles.
what is the mean? No working out needed, just an honest answer please.
Answer:
2.333333..... (2.3 repeating)
Using the data provided, what percent of the
sampled streams are polluted?
Answer:
D. 25%
Step-by-step explanation:
5/20
10/40
15/60
Are all equal to 1/4 or 0.25
To write it as percentage, we times by 100
0.25×100=25%
which of the following is the equation of a circle centered at the orgin with radius 6
Answer:
where h is the x of the center of the circle and k is the y of the center of the circle, and r is the radius. (-4,7) radius is 6 h = -4
Step-by-step explanation: