Answers
Answer:
Step-by-step explanation:
Remark
Assume all of the sheet of plywood is to be used.
Front and back = 2 * 2x *h
Top and Bottom = 2 * 2x * x
Left/Right side = 2 * x * h
Total area = 4xh + 4x^2 + 2xh
Total area = 6xh + 4x^2
Total area = 600
6xh + 4x^2 = 600
h = (600 - 4x^2)/6x
h = 100/x - 2/3 x
Volume = x * 2x * h
Volume = 2x^2 * (100/x - 2/3 x)
Volume = 200x - 4/3 x^3
I can do this without calculus (I think), but it is much easier to use it.
dV/dx = 200 - 4x^2
This is a maximum when dV/dx = 0
dV/dx = 200 - 4x^2 = 0
4x^2 = 200
x^2 = 50
x = 5√2
Related Questions
help with full calculations please and thank you
Answers
Answer:
x = 13
Step-by-step explanation:
1. We can tell if the radical is in its simplest form if the square root term is a number that cannot be broken down to give a perfect square factor
what we are saying in this case is that if the number that is under the square root sign is one in which cannot be broken down to give a perfect square or that a perfect square is not its factor. Then it is in the simplest form
2. 512 = 2^(x-4)
512 = 2^9
2^9 = 2^(x-4)
since base is equal, we equate the powers
9 = x - 4
x = 9 + 4
x = 13
The width of a rectangle is 32 inches. The width of the rectangle decreased by 8 inches and its length also changed. The area of the rectangle remains the same, 1,440 square inches. What is the new length of the rectangle?
Answers
Answer:
60 in
Step-by-step explanation:
Area = length x width
Area is constant at 1440 in^2
For first rectangle: W1 and L1
For second rectangle: W2 and L2
W1 = 32 in
W2 = W1 - 8 in = 24 in
1440 in^2 = L1 x 32 in = L2 x 24 in
L1 = 45 in
L2 = 60 in
Just need the answer
Answers
Answer:
x=3.9
Step-by-step explanation:
A. Tomás collects sports cards. The number of baseball
cards he buys each week is proportional to the number
of football cards he buys.
B. Suppose Tomas buys a total of 30 seconds baseball and football cards in Week 5. How many of each would he have to buy to keep the same proportional relationship?
Week = 1 | 2 | 3 | 4
NOBC = 9 | 15 | ? | 6
NOFC = 6 | ? | 8 |
NOBC ( number of baseball cards)
NOFC ( Number Of football cards )
Answers
• 12 football cards
The only relationships shown in the table is in week 1, where the ratio of baseball to football cards is baseball : football = 9:6
:)
Evaluate: 4+8 divided by 2x (6-3)
Answers
Answer:
Step-by-step explanation:
(4+8)/(2x(6-3)) = 12/(2x(6-3)) = 12/6x = 2/x
Answer:
2x
Step-by-step explanation:
please help! easy math!
Select all of the equations that will produce exponential decay.
multiple answers can be chosen.
Answers
Answer:
y=(0.1)x and y=2(1/4)x represent exponential decay
the rest all are an equation used for exponential growth
If x > 0, which of the following is closest to the value of x that makes the equation below true? ( SHOW WORK )
2x^2 = 40
A. 3.2
B. 4.5
C.6.3
D.8.9
Answers
Answer:am working on this to study guide
Step-by-step explanation:
Which one would it be A
B
C
Or
D
Answers
This is because the equation says that x could equal 50 or anything less than 50.
Find the measure of the indicated angle to the nearest degree?
Please hurry
Answers
Answer:
24 i think
Step-by-step explanation:
hope it helps (:
7n+15=34 i need help ASAP
Answers
Answer:
n= 19/7 I hope this helped!
Step-by-step explanation:
Answer:
2.714285714285714
Step-by-step explanation:
Simplify: (p-q)^2 + 2pq
Answers
Answer:
(p-q)^2+2pq
= p^2-2pq+q^2+2pq
= p^2+q^2
Step-by-step explanation:
Please mark me the brainliest :-)
My number is the smallest 2 digit number that only has 2 factors
Answers
Answer:
11
Step-by-step explanation:
Consider 10's factors: 1, 2, 5, 10, this is more than 2.
11's factors: 1, 11 (!)
Answer:
I think11 js the smallest 2 digit number that only has 2 factors
what is the slope intercept equation for the following line? 
(see image)
Answers
Answer:
y = x + 1
Step-by-step explanation:
You can immediately read off the y-intercept from the graph: (0, 1). The slope of this line is negative. Choosing two different points on this line leads to finding the slope of the line: (0, 1) and (2, -1) Going from the first point to the other, we see that x (the run) increases by 2 and y(the rise) decreases by 2. Thus, the slope is m = rise/run = 2/2 = 1.
The slope-intercept equation of this line is therefore y = x + 1.
Answer:
y=-1x+1
Step-by-step explanation:
To find the slope, we can use rise (vertical) over run (horizontal).
m=rise/run
We can see that from the first point to the second point, x increased by 2 and y decreased by 2.
The rise is -2 and the run is 2.
m=2/-2=-1.
The slope is -1.
Now let's find the y-intercept (the point where x=0, or where the line crosses the y-axis.)
This point is at (0,1), so b=1.
The y-intercept is 1.
This is the format for slope-intercept form: y=mx+b.
The slope-intercept equation is y=-1x+1.
2 (X+3)
What is x ?
PLS HELP ASAP
Answers
Step-by-step explanation:
2(x＋3)
2x＋6
devide each in 2
2x/2 and 6/2
2 and 2 go out
X=3
Which of the following illustrates quadratic inequalities? I. 4x2 − 3x + 1 ≤ 0 II. (x + 9)(x − 7) > 0 III. 2 + 9 = 0
Answers
A cable company uses the formula S = 20,000 (1 + 0.08)y to estimate the number
of subscribers, S, that use their service after y years. If there were 20,000 cable
television subscribers when the cable company began, what is the meaning of the
expression (1 + 0.08)Y?
A. Every year the number of subscribers is estimated to increase by 8 over the number
of subscribers the year before.
B. Every year the number of subscribers is estimated to increase by 8% of the original
20,000 subscribers
C. Every year the number of subscribers is estimated to increase by 8% over the
number of subscribers the year before.
D. Every year the number of subscribers is estimated to increase by 80% of the
original 20,000 subscribers.
I
Answers
Answer:
C. Every year the number of subscribers is estimated to increase by 8% over the
number of subscribers the year before.
Step-by-step explanation:
Using the formula :
S = 20,000 (1 + 0.08)^y to estimate ;
S = number of subscribers ; y = years
The expression : (1 + 0.08)^y
0.08 = 0.08 * 100% = 8%
(1 + 0.08)^y represents a continous growth or increase in the number of subcsribers by 8% over the number of subscribers the preceeding year
Find 62.7% of 177. Round to the nearest thousandth.
Answers
Answer:
110.979
Step-by-step explanation:
62.7% * 177 = 0.627 * 177 = 110.979
find the area of circle
whose radius is rcm.
Answers
Answer:
πr^2 Cm^2
Step-by-step explanation:
Using the formula we get our answer.
4. Which of the following is a geometric sequence?
A. 19, 15, 21, 27,...
B. 4,9,16,25,...
C. 3,-9, 27,-81,...
D. 30,15,0, -15,...
I’ll give brainiest :)
Answers
Answer:
1, 3, 9, 27, 81, . . .
Step-by-step explanation:
Got it right on edg
Deborah spent $70 on food and clothes. She spent $26 more on clothes than on food. On your worksheet, solve the question and write your answer below. How much did she spend on food and how much did she spend on clothes?
Answers
Answer:
She spent $22 on food, and $48 on clothes.
Step-by-step explanation:
Let's define the variables:
C = amount of money that Deborah spent on clothes
F = amount of money that Deborah spent on food.
We know that she spent in total $70, then we have the equation:
F + C = $70
And we know that she spent $26 more on clothes than on food, then we have the equation:
C = F + $26
This means that we have a system of equations:
F + C = $70
C = F + $26
To solve these type of systems, we usually start by isolating one variable in one of the equations. Here we can see that C is already isolated in the second equation.
Now we can replace it in the first equation.
F + (F + $26) = $70
Now we can solve this for F.
2*F + $26 = $70
2*F = $70 - $26 = $44
F = $44/2 = $22
So she spent $22 on food.
Now we can use the equation:
C = F + $26
To find how much she spent on clothes, where we need to replace F by the value we found.
C = $22 + $26 = $48
She spent $48 on clothes.
The product of 0.031 and 1,000,000 is
-----------------
because the decimal point in 0.031 moves
-------------places to the right..
Answers
Answer:
31,000 and 6
Step-by-step explanation:
The product of 0.031 and 1,000,000 is 31,000, because the decimal point in 0.031 moves 6 places to the right.
Hope it helps :)
Please mark my answer as the brainliest
Answer:
0.00000003-6
Im doing a chalenge
Please like I need to win
What is the slope of a line perpendicular to the line whose equation is x+2y=-16x+2y=−16. Fully reduce your answer.
Answers
Answer:
im learning the same thing right now :(
Step-by-step explanation:
Answer:
ycucyd?7tsr u spyf xxx it?ti 68f?
Step-by-step explanation:
itzdit d?iyyc7r 0 cuoc68f
Plz Help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answers
Answer:
the x coordinate is 5
the y coordinate is 4
Step-by-step explanation:
the x coordinate would be wherever the dot is on the horizontal line
the y coordinate would be wherever the dot is on the vertical line
the x-axis(line) goes horizontal and the y-axis goes vertical. Just look at what numbers the x and y axis give you on the point and you’ll find your answer.
Find the LCD for the pair of fractions.
7 8
and
9 15
Answers
for 9 and 15 the answer is 45
what is the answer for this
Answers
Answer:
∠B = 141
Step-by-step explanation:
n - > number of sides
n = 7
Sum of all interior angles = (n -2 ) * 180
= 5 * 180 = 900
∠B + 148 + 90 + 142 + 130 + 129 + 120 = 900
∠B + 759 = 900
∠B = 900 - 759 = 141
A salesperson earns a commission of $378 for selling $2100 in merchandise find the commission rate write your answer as a percentag
Answers
Answer:
18%
Step-by-step explanation:
Given data
commission = $378
sales =$2100
Hence the percentage is given as
= 378/2100*100
=0.18*100
= 18%
Hence the percentage commission is 18%
One of the altitudes of the parallelogram shown is StartRoot 22.5 EndRoot units. What is the length of the other altitude?
5 units
6 units
30 units
StartRoot 40 EndRoot units
Answers
Answer:
the length of the other altitude of the given parallelogram will be 6 units and option B is the correct choice.
The length of the other altitude in the parallelogram will be B. 6 units.
How to calculate the altitude?The equation to find the altitude in the parallelogram will be:
Altitude 1 × Vertical base = Altitude 2 × Horizontal base
✓22.5 × ✓40 = Altitude 2 × 5
30 = Altitude 2 × 5
Altitude 2 = 30/5
Altitude = 6
Learn more about parallelogram on:
https://brainly.com/question/970600
#SPJ2
Help I will be marking brainliest!!!
A. 28.8
B. 36
C. 48
D. 38.4
Answers
Answer:
A
Step-by-step explanation:
TR=[tex]\sqrt{60^{2} -48^{2} }[/tex]
TR=36
36/60=AR/36
AR=21.6
TA=[tex]\sqrt{36^{2} -21.6^{2} }[/tex]
TA=28.8
Gawain sa Pagkatuto Bilang 1. Tukuyin ang sagoto quotient gamit
ang isip lamang. Gawin ito sa iyong sagutang papel.
Division Sentence
Paraang Ginamit (Method Used)
1.524
2.968
3.72 +3 -
4.85 +5=
5.63 - 7
Answers
Answer:
jsjsjsjsjjsjsj
Step-by-step explanation:
gyygyhdvvvzhNshxyJcjdjx
Pippa owns a snack bar.
She uses
of a kilogram of spread each day.
Spread costs £3.20 for a 1 kilogram tub and £6.15 for a 2 kilogram tub.
Pippa buys enough spread to last for 14 days.
What is the lowest price Pippa can buy this spread for?
Answers
Answer:
£43.05 (I believe, refer to step-by-step explanation.)
Step-by-step explanation:
Let's compare both of these tubs if we were to buy either of them for 14 days.
Starting with the 1 kilogram tub we need to do the calculation:
£3.20 × 14 = £44.80
(Type 3.2×14 into your calculator or write on paper this way to calculate.)
Now let's do the 2 kilogram tub.
£6.15 × 7 = £43.05
(Type 6.15×7 into your calculator or write on paper this way to calculate.)
The reason why I have put 7 instead of 14 is because it is 2 kilograms. Since Pippa uses 1 kilogram per day, you only need to buy 7. 2 × 7 = 14
So comparing either of these prices, buying 7 2-kilogram tubs is much cheaper compared to the 14 1-kilogram tubs.