Answer:
three units to the right
A sheet of metal 12 inches by 10 inches is to be used to make a open box. Squares of equal sides x are cut out of each corner then the sides are folded to make the box. Find the value of x that makes the volume maximum.
*Round to 2 decimal places and write out "inches"
Answer:
1.81 inches
Step-by-step explanation:
We are told that the sheet of metal to be used measures 12 inches by 10 inches.
Squares of equal sides x are cut out of each corner. Thus, it means total of 2x is cut of the 12 inches side and 10 inches side.
Thus;
Length; L = 12 - 2x
Width; W = 10 - 2x
Height; H = x
Volume of the box is;
V = LWH
V = (12 - 2x)(10 - 2x)x
Factorizing out, we have;
V = 4x[(6 - x)(5 - x)]
Equating V to zero, we can find the domain of the function;
At V = 0,
4x = 0; 6 - x = 0 ; 5 - x = 0
x = 0, x = 6, x = 5
The dimensions have to be positive. Thus;
0 ≤ x ≤ 5
Expanding the volume equation;
V = 4x[30 - 5x - 6x + x²]
V = 4x[30 - 11x + x²]
V = 4x³ - 44x² + 120x
dV/dx = 12x² - 88x + 120
Equating to zero to find the value of x that makes volume maximum;
12x² - 88x + 120 = 0
Using quadratic formula gives;
x = 1.81 or 5.52
From our domain, we have 0 ≤ x ≤ 5.
1.81 falls within the domain and therefore we will pick it as the height that makes the volume maximum.
Answer:1.81
Step-by-step explanation:
x=1.81
In the diagram find m angle BAC
Answer:
I'm thinking b not 100 percent sure
Answer:
The answer is B) 122 degrees
1. Let f(1) = 722 – 5x + 3 and g(1) = 22² + 45 – 6.7x2-5x+3
Part A: Find f (x) + g(x)|
Part B: Find f (a) - g()
Part C: Find g(a) - f(x)
GICI
Answer:
The correct answer is B
13 is 26%of what number
120 is 30% of what number
Answer:
1. 50%
2. 400
What is the slope of the line?
-2
1/2
1
2
9. Which of the following equations has NO solution?
A. a + 2 = a + 2
B. a = -a + 2
C. a + 2 = a - 2
D. a + a = 2
Answer:
C. a +2 = a - 2
Step-by-step explanation:
a + 2 = a - 2
a + 4 = a
4 = 0
All of the following are terminating decimals except _____.
We would have to divide every single one of these fractions to find out if they were terminating decimal. 2/5 = 2divided by 5 = 0.4 as you can see no many other repeating numbers after the decimal. We don't have to do the rest since we now know the answer is 2/5.
There are 3 students on a team for a relay race. How many teams can be made from 32 students?
Answer:
10 teams, 2 students would be left out I think.
Hope this helped :)
Which expression is equivalent to 3 radical x^5y
Answer:
√3 x^5y
√3=1.7
1.7 • x^5 • y
1.7 • X^4• x• y.
Step-by-step explanation:
hope it helps.
have a wonderful day!
Answer:
x^5/3 y^1/3
Step-by-step explanation:
i took the test and got it correct.
If the r-value, or correlation coefficient, of a data set is 0.841, what is the
coefficient of determination to three decimal places?
Answer: 0.707
Step-by-step explanation:
Answer: 0.707 is the correct answer!!
Step-by-step explanation:
The cat has a mass of 4 kilograms. How many grams is that?
1 kilogram= 1000 grams
4 kilograms= grams
ANSWER: 4000 grams
why: if 1 kilogram is 1000 grams then 4 kilograms is 4000 grams because 4 times 1000= 4000. All you have to do is multiply the 1000 grams and the 4 kilograms, and that’s your answer!!
Answer:
ummm did you need help or....
Step-by-step explanation:
cause you got the answer right....
Please help i need it done asap
Thank you have a great day
Which expression is equivalent to sqrt(80)?
Answer:
b on edg
Step-by-step explanation:
second part
a=4
b=5
126×(−55)+126×5 STEP explanation
Kennedy draws 12 circles she shades 3/4 how many circles does jennedy shade
Answer:
9
Step-by-step explanation:
12 / 4 = 3
3 x 3 = 9
On the grid, draw the image of a shape R after the transformation represented by the matrix (0 -1
(1 0)
............ What!?!?!??
At the end of a snow storm, Mia saw there was a lot of snow on her front lawn. The temperature increased and the snow began to melt at a steady rate. Let SS represent the depth of snow on Mia's lawn, in inches, tt hours after the snow stopped falling. The table below has select values showing the linear relationship between tt and S.S. Determine the rate at which the snow is melting per hour.
Answer:
the snow per hour is
Step-by-step explanation:
um wait what chart theres no info to awnser this sorry you may delete this awnser :( but im letting ya know
Answer:
1.5 is the answer.
Step-by-step explanation:
what's the sum of 6+y
Answer:
6y?
It's probably wrong but off the top of my head, 6y
Can you guys help me pls
Solve and graph.
3<4-2x<6
Answer:
X ( - 1, 1/2)
Step-by-step explanation:
4 - 2x > 3
4 - 2x < 6
Then solve the inquality for x
X< 1/2
X > - 1
Then u get the answer x ( - 1, 1/2)
Note: [ 1/2 is 1 over 2]
Step-by-step explanation:
3<4-2x 4-2x<6
-1<-2x -2x<2
1/2>x x>-1
x<1/2
the graph shown in pic
I need help please help me guys with the correct answer
Answer:the answer is D
Step-by-step explanation:
it is
Find the unit rate and slope of the graph (ignore what I put down)
Answer:
slope: 5/7
0.714 mile per hour
Step-by-step explanation:
slope: find the point where the line is right on the line graph, put y/x which is 10/14 make the fraction smaller which is 10/14 = 5/7(I divide the denominator and nominator by 2)
Mile per hour: 5/7 cross multiply with x/1, make into an equation:
7x=5 x 1
7x = 5
x = 0.714
Find the percent increase from the first number to the second in the following pairs.
A. 100, 140
B. 80, 125
C. 60, 80
D. 9,1
Solve the following exponential equation 23x+1 = 52x-3. Give an exact answer and an
approximation to 4 decimal places if needed. Show all work.
Answer:
x = 0.1379
Step-by-step explanation:
23x + 1 = 52x - 3
-23x -23x
-----------------------
1 = 29x - 3
+3 +3
------------------
4 = 29x
÷29 ÷29
-------------------
x = 0.1379
what is the measure of the larger angle in this degree?
Round 14,456 to nearest ten
Answer:
14,460.
Step-by-step explanation:
14,456 up by 4. anything 6 or above goes up. the tenth place is the second to last number.
Based on the position vs. time graph, which velocity vs. time graph would correspond to the data? A graph with horizontal axis time (seconds) and vertical axis position (meters). A line runs straight upward from 0 seconds 0 minutes.
Answer:
C or the graph with continuous acceleration (straight line)
Step-by-step explanation:
It's the right answer on edguinity
Answer:
c
Step-by-step explanation:
APQR is an equilateral triangle. One side measures 5x - 7 and another side 3x + 11. Find the length of each
side.
Step-by-step explanation:
x=9
therefore,
each sides length is 9
5x-7=3x+11
=5x-3x=7+11
=2x=18
=x=9
It takes Amy 18 minutes to read 4 pages of a book. The Hunger Games has 374 pages, Catching Fire has 391 pages, Mockingjay has 517 pages and the newest book, The Ballad of Songbirds and Snakes, has 390 pages. If she has already read The Hunger Games, how long will it take her to read the rest of the book series?
The answer is 5841 minutes.
An object has an acceleration of 12.0 m/s/s. If the mass of this object were tripled (with no change in its net force), then its new acceleration would be m/s/s.?
Answer:
ummm
Step-by-step explanation:
I believe it's A2=8m/s^-2