From the series, it can be deduced that the sum of the first two terms will be 18.
How to calculate the seriesFrom the information given, it was stated that the transport charge starts with a minimum charge of R8 and thereafter it was increased by R2 for each kilometre.
The series is also given as S. = 8 + 10 + 12 + 14 +... Therefore, the sum of the first two terms will be:
= 8 + 10
= 18
Expressing T2 in terms of S, and S2 will be T2 = S + S2.
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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.
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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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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 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.
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]
2,956 divided by 67 estimate
Answer:
44.11940299 this is the answer
Ashley has b decks of cards. Each deck has 52 cards in it. Using b, write an expression for the total number of cards Ashley has.
Answer:
b*52
Step-by-step explanation:
Solve for a and b
c = 1
Answer:
a=?,b=?,c=1
1=ab
1xab
=ab
1=a,1=b
=a=1,b=1
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
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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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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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]
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.
what is the mean? No working out needed, just an honest answer please.
Answer:
2.333333..... (2.3 repeating)
Evaluate cos 315º without using a calculator.
a
Plz help
Answer:
O A. -1/2
Step-by-step explanation:
I hope it's help..
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]
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:
1.
X> -3
6x+4y< -8
2.
Y< 3
2x - 3y < -3
Please help me find the answers To these two equations
Answer:
see attachments
Step-by-step explanation:
The solutions to the two systems of inequalities are probably best represented on a graph. In each case, the boundary line of the solution area will be dashed, indicating the values on the line are not part of the solution. The doubly-shaded area is the solution space.
1.see the first attachment
x=-3 is a vertical line; 6x +4y < -8 has x-intercept -4/3 and y-intercept -2. The slope of the line is -3/2.
__
2.see the second attachment
y = 3 is a horizontal line; 2x -3y < -3 has x-intercept -3/2 and y-intercept 1. The slope of the line is 2/3.
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 = 4Which 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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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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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
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 !
People donot use this road very often. change it into passive voice
Answer:
this road is not used by people very often
find the value of y in the following image
Answer:
"y" would be 120 degrees. The image is a parallelogram.
Step-by-step explanation:
Y'all help a bestie out
Answer:
A is your answer because you would need divide 117 by 6 then add 6.95 to each appetizer to get 26.45.
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.
Is 5 the best estimate for 4.8 divided by 0.9 why
Answer:
Yes?
Step-by-step explanation:
It does depend, though 4.8/0.9 is 5.3 repeating, and you can't write that out so yes 5 is best, though it depends.
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]