If y varies directly as x, and y is 18 when x is 5, which expression can be used to find the value of y when x is 11?
5
O y=T8 (11)
18
O y 13 (11)
y-
(18)(5)
O y=
11
11
O y= (18)(5)
5
Answer:
y=11 * (18/5)
Step-by-step explanation:
y = kx
Where k is constant of proportionality
18 = k(5)
Hence k = (18/5)
For x = 11, y is....
Y = kx
Y= (18/5) * 11
Line e passes through points (9, 9) and (1, 4). Line f passes through points (1, 5) and (9, 10). Are line e and line f parallel or perpendicular?
Answer:
Let A(9, 9) & B(1, 4) are two point through which Line e passes.
Equation of e is given by
y - y1 = y2 - y1/ x2 - x1(x - x1)
or, y - 9 = 4-9/1-9 (x - 9)
or, -8y + 72 = -5x + 45
or, 5x - 8y + 27 = 0...........1.
Again,
consider C (1, 5) & D (9, 10) are other two points through with Line f pass through.
Also, eqn of f is,
y- 5 = 10-5/9-1 (x - 1)
or, 8y - 5 = 5x - 5
or, 5x - 8y =0 ...........2.
Let m1 and m2 are slopes between the lines.
Now, slope of 1. = - coef. of x/ coef. of y
= -5/-8 = 5/8 =m1
& slope of 2. = -5/-8 = 5/8 = m2
Since slopes of lines i. e. m1 = m2, so the lines are parallel to each other.
a cylindrical-shaped water storage tank with diameter 60 ft and height 20 ft needs to be painted on the outside. if the tank is on the ground, find the surface area that needs painting
Answer:
6600ft.² is the correct answer.
Step-by-step explanation:
Given that,
Diameter of the Cylindrical tank, d = 60 ft Height of the Cylindrical tank, h = 20 ft Radius of the Cylindrical tank, r = 30ft.[tex] \: [/tex]
To Find:
Area of the Cylindrical tank to be painted.[tex] \: [/tex]
Solution:
Area of Cylindrical tank to be painted = CSA of the Cylindrical tank + Area of the circle
[tex] \star \quad{ \boxed{ \green{CSA_{(Cylinder)} = 2 \pi r h }}} \quad \star[/tex]
[tex]\star \quad{ \boxed{ \green{Area_{(Circle)} = \pi {r}^{2} }}} \quad \star[/tex]
[tex] \longrightarrow \: 2\pi rh \: + \pi {r}^{2} [/tex]
[tex]\longrightarrow \: \pi r(2h + r)[/tex]
[tex]\longrightarrow \: \frac{22}{7} \times 30 \times(2\times20+30) [/tex]
[tex]\longrightarrow \: \frac{660}{7} \times (40 + 30)[/tex]
[tex]\longrightarrow \: \frac{660}{7} \times 70 [/tex]
[tex]\longrightarrow \: 660 \times 10[/tex]
[tex]\longrightarrow \: 6600 {ft.}^{2} [/tex]
Hence, Area of the Cylindrical tank to be painted is 6600ft.²
_____________________Additional Information:[tex]\footnotesize{\boxed{ \begin{array}{cc} \small\underline{\frak{ \red{More \: Formulae}}} \\ \\ \bigstar \: \bf{CSA_{(cylinder)} = 2\pi \: rh}\\ \\ \bigstar \: \bf{Volume_{(cylinder)} = \pi {r}^{2} h}\\ \\ \bigstar \: \bf{TSA_{(cylinder)} = 2\pi \: r(r + h)}\\ \\ \bigstar \: \bf{CSA_{(cone)} = \pi \: r \: l}\\ \\ \bigstar \: \bf{TSA_{(cone)} = \pi \: r \: (l + r)}\\ \\ \bigstar \: \bf{Volume_{(sphere)} = \dfrac{4}{3}\pi {r}^{3} }\\ \\ \bigstar \: \bf{Volume_{(cube)} = {(side)}^{3} }\\ \\ \bigstar \: \bf{CSA_{(cube)} = 4 {(side)}^{2} }\\ \\ \bigstar \: \bf{TSA_{(cube)} = 6 {(side)}^{2} }\\ \\ \bigstar \: \bf{Volume_{(cuboid)} = lbh}\\ \\ \bigstar \: \bf{CSA_{(cuboid)} = 2(l + b)h}\\ \\ \bigstar \: \bf{TSA_{(cuboid)} = 2(lb +bh+hl )}\\ \: \end{array} }}[/tex]
Help help hlep help help kenplease
Answer:
$18 = 6 pounds
Step-by-step explanation:
If 1.5 pounds = $ 4.506 pounds = $4.50 × 4 = $18
Xavier bought a sweatshirt for $80. He paid 5% tax. What is the total price of the sweatshirt including tax
Answer:
$84
Step-by-step explanation:
$80 * .05=4.00
$80 +4=$84.00
What is the perimeter of the window?
J0!N MY BLOOKET
BATTLE ROYALE
C0DE: 354162
yes
yes
Step-by-step explanation:
I am in the blooket
Answer:
ok
Step-by-step explanation:
Please help loves <3 :)
Answer:
4155 years
Step-by-step explanation:
The exponential equation can be solved by using logarithms to transform it to a linear equation.
The problem statement tells you that for some initial amount of C-14 equal to N0, the remaining amount is N = 0.66N0. That means the equation you need to solve is ...
0.66 = e^(-0.0001t) . . . . . . factor of N0 in 0.66N0 and N0·e^() divided out
Taking natural logs, you have ...
ln(0.66) = -0.0001t
t = -ln(0.66)/0.0001 ≈ 4155
The age of the spear head is about 4155 years.
what is pi I know its 3.14 but I need more info?
pi is 22 divide by seven. we can also say that
pi is a constant number. More than how did it form I think it's more important that why did it formed. It formed to calculate many matters about circle. Like we know that value of gravity is 9.8 it is a constant for circle
Determine if true:
3+2-1x4=15
Answer:
False
Step-by-step explanation:
3+2=5
3+2=55-1=4
3+2=55-1=44x4=16
3+2=55-1=44x4=16Hence, the equation is true.
Suppose that f(x)=x2 and g(x) =4/5x2. Which statement best compares the graph of f(x)?
Answer:
See below.
Step-by-step explanation:
Are f(x)=x2 and g(x) =4/5x2 correctly written?
This answer assumes they are supposed to be:
f(x)=x^2 and g(x) = (4/5)x^2
If these revisions are correct, g(x) would produce values that are (4/5) of f(x).
See attached graph.
I don't see any of the options for "best statement."
Choose all of the items related to the spanish-american war
A high school auditorium seats 110 people. The school play has 106 people in attendance leaving 4 seats empty.
because the order in which
There are
the seats are chosen
ways that 4 seats can be left empty in the auditorium. This is a
important.
Answer:
5773185
Step-by-step explanation:
There are 110 seats
110 ways to choose the first empty seat
Now there are 109 seats
109 ways to choose the next empty seat
Now there are 108 seats
108 ways to choose the next empty seat
Now there are 107 seats
110*109*108*107=138556440
Now the order of the empty seats doesn't matter so we need to divide by 4!
138556440/ 4!
138556440/ 24
5773185
Ben says the angle is an acute angle. Jeff says the angle is less than a straight angle. Explain whether their statements are correct.
Answer:
sometimes, if their average angle is over 45 degrees
never are 2 obtuse angles summing to 180 degrees
always. two 90 degree angles always sum to 180 which is a straight line
2㏒x-㏒[x-2]=2㏒3: solve the equation
Step-by-step explanation:
[tex]2 log(x) - log(x - 2) = 2 log(3) [/tex]
[tex] log(x {}^{2} ) - log(x - 2) = log(9) [/tex]
[tex] log( \frac{ {x}^{2} }{x - 2} ) = log(9) [/tex]
[tex] \frac{ {x}^{2} }{x - 2} = 9[/tex]
[tex] {x}^{2} = 9x - 18[/tex]
[tex] {x}^{2} - 9x + 18 = 0[/tex]
[tex](x - 3)(x - 6) = 0[/tex]
[tex]x = 3[/tex]
and
[tex]x = 6[/tex]
I WILL GIVE BRAINLIEST Alicia puts $400.00 in a bank account. Each year the account earns 5% simple interest. How much money will be in her bank account in six months?
A $410.00
B.$ 10.00
C.$20.00
Answer:
C.$20.00
Because it has to be lower than $400 and higher than $10
An initial deposit of $50,000 is put into a savings account that has an interest rate of 5.6% compounded continuously. How much will be in the account at the end of 5 years?
Find the diameter of a circle whose circumference is 77
We are given that the circumference of a circle is 77 units and we need to find it's diameter . But let's recall that for any Circle with radius r , the circumference is given by 2πr . And diameter is double of radius i.e d = 2r , so we can write the circumference as 2r(π) i.e dπ . So , now here
[tex]{:\implies \quad \sf d\pi =77}[/tex]
[tex]{:\implies \quad \sf d\times \dfrac{22}{7}=77}[/tex]
[tex]{:\implies \quad \sf d=\dfrac{77\times 7}{22}}[/tex]
[tex]{:\implies \quad \sf d=\dfrac{\cancel{11}\times 7\times 7}{\cancel{11}\times 2}}[/tex]
[tex]{:\implies \quad \sf d=\dfrac{49}{2}}[/tex]
[tex]{:\implies \quad \bf \therefore \quad \underline{\underline{Diameter=24.5\:\: units}}}[/tex]
please answer this question
We are given the Indefinite integral ;
[tex]{:\implies \quad \displaystyle \sf \int \dfrac{dx}{x-x^{3}}}[/tex]
Take x common from denominator ;
[tex]{:\implies \quad \displaystyle \sf \int \dfrac{dx}{x(1-x^{2})}}[/tex]
Now , Put ;
[tex]{:\implies \quad \displaystyle \sf x^{2}=u}[/tex]
So that ;
[tex]{:\implies \quad \displaystyle \sf dx=\dfrac{du}{2\sqrt{u}}\quad and\quad x=\sqrt{u}}[/tex]
Now , putting the values ;
[tex]{:\implies \quad \displaystyle \sf \int \dfrac{1}{\sqrt{u}(1-u)}\times \dfrac{1}{2}\times \dfrac{du}{\sqrt{u}}}[/tex]
Now , as constant can be taken out of the integrand, so now ;
[tex]{:\implies \quad \displaystyle \sf \dfrac{1}{2}\int \dfrac{du}{u(1-u)}}[/tex]
Using partial fraction decomposition, Rewrite the integral as ;
[tex]{:\implies \quad \displaystyle \sf \dfrac{1}{2}\int \left(\dfrac{1}{u}+\dfrac{1}{1-u}\right)du}[/tex]
As Integrals follow distributive property, so breaking the integral into two integrals, and continuing the integration
[tex]{:\implies \quad \displaystyle \sf \dfrac{1}{2}\left(\int \dfrac{1}{u}du+\int \dfrac{1}{1-u}du\right)}[/tex]
[tex]{:\implies \quad \displaystyle \sf \dfrac{1}{2}\bigg\{log|u|+\dfrac{log|1-u|}{(-1)}\bigg\}+C}[/tex]
[tex]{:\implies \quad \displaystyle \sf \dfrac{1}{2}(log|u|-log|1-u|)+C}[/tex]
[tex]{:\implies \quad \displaystyle \sf \dfrac{1}{2}log\bigg|\dfrac{u}{1-u}\bigg| +C}[/tex]
Putting value of u ;
[tex]{:\implies \quad \therefore \quad \underline{\underline{\displaystyle \bf \int \dfrac{dx}{x-x^{3}}=\dfrac{1}{2}log\bigg|\dfrac{x^2}{1-x^{2}}\bigg| +C}}}[/tex]
This is the required answer
Used Concepts :- [tex]{\boxed{\displaystyle \bf \int \dfrac{1}{x}dx=log|x|+C}}[/tex] [tex]{\boxed{\bf{log(a)-log(b)=log\left(\dfrac{a}{b}\right)}}}[/tex]. A local electricians union has 540 members. If 65% of the members attended the last meeting, how many members went to the last meeting?
351 members
Multiply .65 by 540 which gives you 351.
Solve by substitution:
a.
no solution
b.
(5, 1)
c.
d.
Answer
There is no Question??
Given: ABCD is a parallelogram ∠GEC≅∠HFA and AE ≅ FC .
Prove: △GEC≅△HFA.
Already answered here: https://brainly.com/question/26860297
Convert the following mixed number to an improper fraction:
8 4/7
Answer:
60/7
Step-by-step explanation:
8x7=56
56+4=60
Answer:
[tex]=\frac{60}{7}[/tex]
Step-by-step explanation:
Given the following question:
[tex]8\frac{4}{7}[/tex]
In order to convert the mixed number into an improper fraction multiply the denominator by the whole number and then add the numerator. While of course keeping the denominator the same.
[tex]8\frac{4}{7}[/tex]
[tex]8\frac{4}{7}=7\times8=56+4=60=\frac{60}{7}[/tex]
[tex]=\frac{60}{7}[/tex]
Your answer is indeed "60/7."
Hope this helps.
1.) For a project, Guadalupe needs 3/4 of a foot of ribbon. She has a piece that is 1/8 of a foot. How much more ribbon does she need for her project?
Answer:
5/8 ft more
Step-by-step explanation:
3/4-1/8=5/8
6/8-1/8=5/8
12x^3-91x^2+50x-7=0
use synthetic division to test the possible rational roots and find an actual root
Answer:
×=7 or ×= ⅓ or ×=¼
Step-by-step explanation:
12׳ - 91ײ + 50× -7=0
(× -7)(3×- 1)(4×-1)=0
×-7=0 or 3× -1 =0 or 4× -1 = 0
×=7 or × =⅓ or ×=¼
pls need help 10 points and will give 5 star rating for correct answer
sure I will help in what you need help
Answer:
sure but what's the question???
Determine if true:
2x6-3=10
Answer:
False
Step-by-step explanation:
2x6=12
2x6=1212-3=9
Hence, the equation is false.
Median of 81 94 83 91
Answer:
87
Step-by-step explanation:
Can somebody please help me with this thank you
Answer:
2*3
Step-by-step explanation:
first name last sw do
Stefany Tolesteros and LOLOftes thanks me later
Lines RS, TV, and SW are shown.
Which statements are true about these lines? Select three options.
Lines RS and TV are parallel.
Line TV has a slope of 0.
Line RS has a slope of 6.
Line SW has an undefined slope.
Line SW is perpendicular to line RS, but not to line TV.
Answer:
Lines RS and TV are parallel.
Line TV has a slope of 0.
Line SW has an undefined slope.
Step-by-step explanation:
Lines RS and TV are parallel as we know they will never meet because they are straight lines.
Line TC has a slope of 0 because it is horizontal.
Line RS can't be the slope of 6, because a slope greater or less than 0 will be diagonal.
Line SW has an undefined slope because it is vertical.
Line SW is perpendicular to both as it forms a 90-degree angle for both, so the 5th term is wrong.
The statements A, B, and D are true about the given lines for the shown figure.
What are Parallel lines?Parallel lines are two or more lines in a plane that are equidistant from each other at all points. This means that they never meet or cross each other, no matter how far they are extended.
As per the shown graph, we have:
Lines RS and TV are parallel since we know they will never intersect due to their straightness.
Because line TC is horizontal, it has no slope.
Line RS cannot have a slope of 6, since any slope higher or less than 0 is diagonal.
Since Line SW is vertical, it has an undefined slope.
Since line SW creates a 90-degree angle with both, the fifth statement is incorrect.
Therefore, statements A, B, and D are true about the given lines for the shown figure.
Learn more about the Lines here:
brainly.com/question/14511992
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