The diameter of the cylindrical rain barrel which Sophie bought to water her garden, and want to build a platform for it is 15 in.
What is of volume of cylinder?Volume of cylinder is the amount of quantity, which is obtained by it in the 3 dimensional space.
The volume of the cylinder can be given as,
[tex]V=\pi r^2h[/tex]
Here, (r) is the radius of the base of the cylinder and (h) is the height of the cylinder.
Sophie bought a cylindrical rain barrel to water her garden, but she forgot to ask the seller what the diameter of the barrel was.
She needs to know the diameter so that she can build a platform for it to sit on.
The seller told her the volume of the barrel is 6,925pi cubic in and its height is 38 in.
[tex]V=\pi r^2h\\6925=\pi r^2(38)\\\dfrac{6925}{38\pi}= r^2\\r=\sqrt{\dfrac{6925}{38\pi}}\\r\approx7.62 \rm\; in[/tex]
The diameter of the cylinder is twice the radius of it. Thus, the diameter of the cylinder is,
[tex]d=7.62\times2\\d=15.23\rm\\d\approx15\rm\; in[/tex]
Thus, the diameter of the cylindrical rain barrel which Sophie bought to water her garden, and want to build a platform for it is 15 in.
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[tex] \textbf{Can someone help me with this question ?} [/tex]
[tex] \texttt{Note : you have to use vector method,} [/tex] [tex] \texttt{no use determinants, or Area of Triangle = 0} [/tex]
[tex] \textsf{If points with given position vectors are} [/tex] [tex] \textsf{collinear then find the value of " a "} [/tex]
[tex] \qquad \sf{\vec{A} = 60 \hat{i} + 3\hat{j} } [/tex]
[tex] \qquad \sf{\vec{B} = 40 \hat{i} - 8\hat{j} } [/tex]
[tex] \qquad \sf{\vec{C} = a\hat{i} - 52\hat{j} } [/tex]
Answer:
here we go dude sorry for dirty handwriting
What are the zeros of this function?
Answer:
B
Step-by-step explanation:
On the graph, you can see that when y=0, x is on 5 and 6.
Which best describes the range of the function f(x) = Two-thirds(6)x after it has been reflected over the x-axis?
Answer:
Range: ( − ∞ , ∞ ) , { y | y ∈ R }
Step-by-step explanation:
Slope: 4
y-intercept: (0,0)
X Y
0 0
1 4
Answer:
all real number
Step-by-step explanation:
Grace, Ted, and Keisha are siblings. Each took a turn using the computer today. The matrix equation that represents this situation is shown, where g is the number of minutes Grace was on the computer, t is the number of minutes Ted was on the computer, and k is the number of minutes Keisha was on the computer.
Which statement is true?
A.
Keisha spent the least amount of time on the computer.
B.
Ted spent the least amount of time on the computer.
C.
All three spent the same amount of time on the computer.
D.
Grace spent the least amount of time on the computer.
Answer:
C. Ted spent the least amount of time on the computer.
Step-by-step explanation:
plato
Answer:
Ted spent the least amount of time on the computer.
Step-by-step explanation:
Correct on plato.
Andrew chooses three different numbers.
- Exactly one of the numbers is a square number.
The other two numbers are factors of 18.
The sum of the three numbers is 36.
d the three numbers chosen by Andrew.
ite the numbers in ascending order.
[tex]\huge\color{red}\underline \colorbox{yellow} {\color{gold}{scroll}}[/tex][tex]\blue{ \rule{99999pt}{99999999pt}}[/tex]
[tex]\blue{ \rule{99999pt}{99999999pt}}[/tex]
[tex]\blue{ \rule{99999pt}{99999999pt}}[/tex]
[tex]\blue{ \rule{99999pt}{99999999pt}}[/tex]
[tex]\blue{ \rule{99999pt}{99999999pt}}[/tex]
[tex]\blue{ \rule{99999pt}{99999999pt}}[/tex]
[tex]\blue{ \rule{99999pt}{99999999pt}}[/tex]
[tex]\blue{ \rule{99999pt}{99999999pt}}[/tex]
Answer:
2, 16, 18.
Step-by-step explanation:
The first number might be 4 , 9, 16 or 25.
The other 2 numbers are factors of 18 so could be:
2, 3, 6, 9 or 18.
If square no. = 4 then sum of other 2 = 32 but no 2 numbers will fit the required result.
If it is 9, the sum = 27 then 9 and 18 will fit but that makes 2 square numbers so this is not the answer.
If square no. = 16, the sum of other 2 is 20. 2 and 18 will fit this.
Armin needs a new suit. He
has a 25% off coupon that
will be applied before a tax
of 7.5% is applied to his
total. How much will he end
up paying for a $325 suit?
Round to the nearest
hundredth.
Answer:
262.03
Step-by-step explanation:
take 325 multiply by 25% will give you 81.25 deduct
325 by 81.25
multiply 243.75 by 7.5% which gives 18.28 add that to
243.75 giving you 262.03 he paid for
Every day Jack runs 3 km a) Find out how far he runs in 4 weeks
Answer:
84 km
Step-by-step explanation:
you times 7 by 4 and get 28 then you times 3 by 28 and get 84 km
Which of the following is equivalent to
( g + h ) ( p + q − r ) ? g p + g q − g r + h p + h q − h r g p + g q + g r + h p + h q + h r g p + h q − r
Answer:
g p + g q − g r + h p + h q − h r
Step-by-step explanation:
This is the correct simplified form of ( g + h ) ( p + q − r )
Hope this helped!
Answer:
gp + gq - gr + hp + hq - hr
Step-by-step explanation:
Expression:
(g + h)(p + q − r)
Choices:
gp + gq − gr + hp + hq − hr
gp + gq + gr + hp + hq + hr
gp + hq − r
Solution:
Multiply each term of g + h by each term of p + q - r.
You get:
gp + gq - gr + hp + hq - hr
A lady bug walked the shortest distance on the coordinate plane from point A(-1,-16) to point B(12, 10). Find the x-coordinate of the point where the ladybug intersected the x-axis
(a) The shorted distance between point A and point B is 29.1.
(b) The x-coordinate of the point where the ladybug intersected the x-axis is (-1, 12).
Shortest distance between point A and point B
The shorted distance between point A and point B is straight line, which is calculated as follows;
[tex]d = \sqrt{(x_2-x_1)^2 + (y_2 - y_1)^2} \\\\d = \sqrt{(12--1)^2+ (10--16)^2} \\\\d = 29.1 \ unit[/tex]
x-coordinate of the pointsThe x-coordinate of the point where the ladybug intersected the x-axis is determined as;
(Ax, Ay), (Bx, By)
= (Ax, Bx)
= (-1, 12)
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what is the answer to 284 times 45 to the power of 3
Hey there!
284 * 45^3
= 284 * 45 * 45 * 45
= 284 * 2,025 * 45
= 284 * 91,125
= 25,879,500
Therefore, your answer is:
25,879,500
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
Write a recursive formula for the sequence 4, 0, -4, -8, -12, .... Then find the next term.
Answer:
[tex]U_{n+1}=U_{n}-4[/tex]
Next term = -16
Step-by-step explanation:
[tex]\text{let} \ \left( U_{n}\right) \text{be the sequence which we are looking for}[/tex]
0-4 = -4
(-4)-0 = -4
(-8)-(-4) = -4
(-12)-(-8) = -4
It’s clear that Un is an arithmetic sequence of common difference r = -4
Then
[tex]U_{n+1}=U_{n}-4[/tex]
Next term :
[tex]U_{6}=U_{5}-4 = -12-4=-16[/tex]
I'm kinda terrible at math and I'm running out of time to complete this you might think its easy but its no for me.
Answer:
my best guess is 17.45
Step-by-step explanation:
can someone help with all 4 questions and show work on how to do all of them please
[tex]\\ \rm\Rrightarrow |1/3(2^3-10^2/5)|=|1/3(8-20)|=|1/3(-12)|=4[/tex]
[tex]\\ \rm\Rrightarrow |-(1/6)^3|=(1/6)^3=1/216[/tex]
[tex]\\ \rm\Rrightarrow |6^3-7^3|=|216-343|=127[/tex]
[tex]\\ \rm\Rrightarrow |9^2+(-9)^3|=|81-729|=648[/tex]
Answer:
8) 1/216
13) 127
14) 648
15) 4
Step-by-step explanation:
Question 8[tex]\large \begin{aligned}\displaystyle \left|-\left(\frac{1}{6}\right)^3\right| & = \left|-\left(\frac{1^3}{6^3}\right)\right|\\\\& = \left|-\frac{1}{216}\right|\\\\& = \frac{1}{216}\end{aligned}[/tex]
Question 13[tex]\large \begin{aligned}\displaystyle \left|6^3-7^3\right| & = \left|216-343\\ & = \left|-127\right|\\ & = 127\end{aligned}[/tex]
Question 14[tex]\large \begin{aligned}\displaystyle \left|9^2+(-9)^3\right| & = \left|81+(-729)\right|\\& = \left|81-729\right|\\& = \left|-648\right|\\& = 648\end{aligned}[/tex]
Question 15[tex]\large \begin{aligned}\displaystyle \left|\frac{1}{3}\left(2^3-\frac{10^2}{5}\right)\right| & = \left|\frac{1}{3}\left(8-\frac{100}{5}\right)\right|\\\\& = \left|\frac{1}{3}\left(8-20\right)\right|\\\\& = \left|\frac{1}{3}\left(-12\right)\right|\\\\& = \left|\frac{-12}{3}\right|\\\\& = \left|-4\right|\\\\& = 4\\\end{aligned}[/tex]
⚠ In a bag, there are 5 yellow marbles and 3 green marbles.
A marble is randomly selected from the bag and it turns out to be yellow.
The marble is not put back into the bag. Which of the following events are affected by this? Select all correct options.
-The chance of selecting a blue marble next time.
-The chance of selecting a yellow marble next time.
-The chance of selecting a green marble next time.
-The chance of selecting a black marble next time.
A spinner is divided into 15 identical sectors and labeled 1 through 15. How many spins are expected for a multiple of 4 to be spun 30 times? Select from the drop-down menu to correctly complete the sentence. The spinner is expected to have to spin approximately Choose... times for a multiple of 4 to be spun 30 times.
Answer:
The answer you are looking for is 35. May I have brainliest?
Step-by-step explanation: K12 Quiz
Answer:
150
Step-by-step explanation: because you divide it
Which equation represents the graphed function?
A : y = -2x + 3
B : y = 2x + 3
C : y = 1/2x + 3
D : y = -1/2x + 3
Answer:
y = - 2x + 3
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (0, 3) and (x₂, y₂ ) = (1, 1) ← 2 points on the line
m = [tex]\frac{1-3}{1-0}[/tex] = [tex]\frac{-2}{1}[/tex] = - 2
the line crosses the y- axis at (0, 3 ) ⇒ c = 3
y = - 2x + 3 ← equation of line
A window is in the shape of a kite. caleb wants to apply a layer of plastic film on the top half of the window so that the glass appears crackled. what are the dimensions of the layer of film he will apply? a kite is broken into 2 triangles. each triangle has a base of 18 inches and a height of 7 inches. 9 inches in width and 7 inches in height 9 inches in width and 14 inches in height 18 inches in width and 7 inches in height 18 inches in width and 14 inches in height
The dimensions of the layer of film he will apply to the window is 18 inches in width and 7 inches in height.
What are the dimensions of the layer of film?A kite is a four sided shape that can be divided into two pairs of equal-length sides that are adjacent to each other.
The dimensions of the upper part:
Width = 18 inches Length = 14 inches / 2 = 7 inchesPlease find attached the complete question. To learn more about kites, please check: https://brainly.com/question/2918354
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Write an expression for each phrase. 1. Jose had 3 more hits today than in yesterday’s game.
Let yesterday he had h hits
Today he has 3 more hits
So
The expression is
3+hor
h+3Please Help !! I Will GIVE BRAINLIEST What is the slope of the line !
Step-by-step explanation:
Looking closely,
when x1=0, y1= 3
Also, when x2= 3, y2= 1
The slope therefore is,
(y2-y1)/(x2-x1)
= 1-3/2-0
= -2/2
Slope = -1
HGELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP
Answer:
15 inches
Step-by-step explanation:
The formula for the area of the area of a triangle is bxh/2.
The base is 6 inches, and the height is 5 inches. 6x5=30. 30/2=15.
Would appreciate if you marked my answer as brainliest, have a good day :)
PLS HELPPP MEEE!!
The graph of y = x2 - 4 is shown below
What are the roots?
A.
x = 0 and x = -4
B.
x = 4 and x = 2
C.
x = -4 and x = 4
D.
x = -2 and x = 2
The answer is D. The roots are just where the line crosses the y axis.
[tex] \huge{\green}\fcolorbox{blue}{cyan}{\bf{\underline{\red{\color{red} Question}}}} [/tex]
[tex] \mathfrak \orange{ Refer \: To \: Attachment}[/tex]
[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]
Let's find out the gradient (Slope " m ") of line q ;
[tex]\qquad \sf \dashrightarrow \:m = \dfrac{y_2 - y_1}{x_2 - x_1}[/tex]
[tex]\qquad \sf \dashrightarrow \:m = \dfrac{4 - 0}{0 - 1}[/tex]
[tex]\qquad \sf \dashrightarrow \:m = - 4[/tex]
Now, since we already know the gradient let's find of the equation of line by using its Slope and one of the points using point slope form of line :
[tex]\qquad \sf \dashrightarrow \:y - 4 = m(x - 0)[/tex]
[tex]\qquad \sf \dashrightarrow \:y = mx + 4[/tex]
Now, plug in the value of gradient ~
[tex]\qquad \sf \dashrightarrow \:y = - 4x + 4[/tex]
here we can clearly observe that, the Area under the curve can easily be represented as :
[tex]\qquad \sf \dashrightarrow \:y < - 4x + 4[/tex]
Since, all the values of y that lies in the shaded region is smaller than the actual value of y for the corresponding values of x in the equation of line q
Help me pls with. Math it's very important
Answer:
L = (x), W = (5x−4), H = (2x+1)
Step-by-step explanation:
Factor.
10x^3-3x^2-4x
(x)(5x−4)(2x+1)
WILL GIVE BRAINLIST
What is the effect on the graph of the parent function f(x) = x when f(x) is replaced with 8f(x)?
A) shifts the line 8 units up
B) shifts the line 8 units down
C) increases the slope of the line by a factor of 8
D) decreases the slope of the line by a factor of 8
Answer:
option: C is correct.
Step-by-step explanation:
since, we are given a parent function f(x) as: f(x)=x.
We are asked to find what change will occur in the function when the parent function f(x) is replaced by f(9x).
let g(x) be the function formed by replacing f(x) with f(9x) i.e.
g(x)=f(9x)=9x.
clearly the slope of the function g(x)=f(9x) is 9. ( since on comparing the equation with the slope intercept form y=mx+c; where m is the slope of the line and c is the y- intercept).
whereas the slope of the function f(x)=x is 1.
Hence there is an increment of slope by a factor of 9.
Hence, option C is correct.
The graph below depicts IQ scores of adults, and those scores are normally distributed with a mean of 100 and a standard deviation of 15.
Help me with this took an hour already
Answer:
the answer is 60
Step-by-step explanation:
64 rounded. is 60
Answer: 60 is the mean
Step-by-step explanation: 64 + 60 + 59 + 60 + 58 + 56 + 64 + 57 + 63 is 541, divide that by 9 is 60.1111111111, nearest whole number is 60
One of the advantages to an employer of paying employees piece rate or commission is that the employee is paid based solely on their performance. What is one disadvantage of this type of pay?
Increase in greedyness and lazyness ,less attraction towards working.
See
The employee gets commision for each saleSuppose he gets $2 commission per sale.
If he sales 7 then he get $14 but for no sale he gets nothing so it's luck dependant.The discussion is shown below:
What is commission?A sales commission is a sum of money paid to an employee upon completion of a task, usually selling a certain amount of goods or services.
When an employee is paid on a commission basis or on a piece rate basis, their job efficiency goes up, which also boosts productivity in the workplace.
But one of the drawbacks of this type of payment for the employee is that he won't be able to earn anything if he doesn't work up to the specified objective or if he doesn't work at all.
There are therefore equally as many benefits and drawbacks for each kind of payment.
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HELP ME OUT PLS MY WIFI ISN'T STRONG!! AND I NEED TO FINISH MY TEST IN 1 MIN!!!
Which comparison is not correct?
6 > 5
-7 > -9
-4 < -12
-3 < 4
Answer:
-4<-12
Step-by-step explanation:
match the turms with the values using this set of data 46, 72, 15, 72, 19, 10 what are the mean medien and range
Answer:
See below ~
Step-by-step explanation:
Arranging the data in increasing order
10, 15, 19, 46, 72, 72Mean
10 + 15 + 19 + 46 + 72 + 72 / 625 + 65 + 144 / 6234/639Median
In a set with even number of data points, the median is the mean of the middle 2 terms19 + 46 / 265/232.5Range
Difference between highest data point and lowest data point72 - 1062Answer:
Mean: 39
Median: 32.5
Range: 62
Given that y = 6 + 4x-x^2express y in the form a.-(x + b)^2, where a and b are
integers. Hence or otherwise , write the coordinates of the turning point of y
Answer:
6 + 4x − x² = 10 − (x − 2)²
the turning point : (2 , 10)
Step-by-step explanation:
6 + 4x − x² = − x² + 4x + 6
= − (x² − 4x) + 6
= − (x² − 4x + 4 − 4) + 6
= − [(x − 2)² − 4] + 6
= − (x − 2)² + 4 + 6
= − (x − 2)² + 10
= 10 − (x − 2)²
Then the turning point of y is (2 , 10)