Answer:
-4d - 6
Step-by-step explanation:
-1/3(12d+18)
-4d - 6
That is the simplest we can simple the function
So, the answer is -4d - 6
What is the maximum volume in cubic inches of an open box to be made from a 10- inch by 20-inch piece of cardboard by cutting out squares of equal sides from the four corners and bending up the sides? Your work must include a statement of the function and its derivative.
Answer:
192.5 in³
Step-by-step explanation:
The cardboard is 10 by 20 before removing a square from each end. Assuming that the square is x inches wide. Therefore, the 20 in side gets reduced by x inches on both sides, or say it becomes 20 - 2x inches. On the other hand, the 10 in side is also reduced by 2x. The x value we get happens to be the height of the box when the sides are folded up.
Thus the volume V = lbh =
V = (20-2x)*(10-2x)*(x)
V = 4x³ - 60x² + 200x
On differentiating, we have dv/dx to be
dv/dx = 12x² - 120x + 200
Using general formula to find the roots of this equation, we can solve that x = 7.886 and x = 2.113
This roots we got are possible values of x, the square we cut. Since 7.886 * 2 = 15.772 inches, this is more than the 10 inch side, henceforth x = 2.113 inches.
You cut 2.113 inches from each corner to obtain the maximum volume.
The sizes of the cubes are
20 - (2 * 2.113) = 15.774
10 - (2 * 2.113) = 5.774
2.113
The volume of the cube is 15.774 * 5.774 * 2.113 = 192.5 cubic inches.
PLEASE HELP WILL GIVE BRAINLY! Given the function:
f(x)=
{6x+5x<0
[6x+10x≥0
Calculate the following values:
f(−1)=
f(0)=
f(2)
Expand (5x – 3y + 2) using identity.
Answer:
[tex](5x - 3y + 2)^2=25x^2+9y^2+4-30xy-12y+20x[/tex]
Step-by-step explanation:
We need to expand (5x – 3y + 2)² using identity.
Using identity,
[tex](a+b+c)^2=a^2+b^2+c^2+2ab+2bc+2ac[/tex]
We have, a = 5x, b = -3y and c = 2
So,
[tex](5x - 3y + 2)^2=(5x)^2+(-3y)^2+2^2+2(5x)(-3y)+2(-3y)(2)+2(2)(5x)\\\\=25x^2+9y^2+4-30xy-12y+20x[/tex]
So, the required answer is [tex]25x^2+9y^2+4-30xy-12y+20x[/tex].
Which equation shows the same relationship as 4 = 1/5 x 20
choose 1 answer:
A. 4 ÷ 20 = 1/5
B. 20 = 1/5 ÷ 4
C. 20 x 4 = 1/5
Answer:
C. 20 x 4 = 1/5Step-by-step explanation:
Answer:
The answer is C
Step-by-step explanation:
4/20=.02 so its not A
1/5 divided by 4 is .05
So that leaves C
I hope this helps :)
Please help me with this for brainliest im soo confused
help please you don’t have to though
PLS HELP. In the triangle ABC, BP is the medium from the vertex B. If AC= 25 units and CR= 4.5 units, find PR. PLS HELP
9514 1404 393
Answer:
PR = 8
Step-by-step explanation:
The median bisects the side opposite the vertex, so ...
P is the midpoint of AC
Since AC = 25, the length of half that segment is PC = 12.5. Of course, that is the sum of segments PR and RC:
PR + RC + PC
PR + 4.5 = 12.5 . . . . . fill in the known values
PR = 8 . . . . . . . . . . . . .subtract 4.5
if its possible, whats -12/3 simplifies
Answer:
-4
Step-by-step explanation:
What's the circumference of a
circle with a diameter of 9 inches?
Use 3.14 for pi.
Answer:
28.27433
Step-by-step explanation:
c = 2π * r
Indigo measures a 2-ounce sample for an experiment. How many grams are in 2 ounces? (1 oz = 28.35 g)
0.07 g
0.90 g
4.40 g
56.70 g
Answer:
56.70 grams
Step-by-step explanation:
Multiply: 28.35*2=56.70
(Picture included)
Sorry about my handwriting!
Hope this helped!! :)
Stay safe and have a wonderful day/night!!!!!
Brainliest?!?!
Quiana has 7 times more text messages from Yolanda than from Pierre. Quiana has 63 text messages from Yolanda. Which equation can be used to find how many text messages Quiana has from Pierre, p? A. 63p = 7 B. 7p = 63 C. 63 + p = 7 D. 7 + p = 63
Serena paid $194.99 for a game system and then bought two equally price games. If she spent a total of $284.97, what is the price, P, of one game? Right and solve an equation
Answer:
44.99
Step-by-step explanation:
284.97(total cost) - 194.99(system cost) = 89.98(money spent on games) / 2(total games) = 44.99 = 44.99 spent per game.
19/100+7/10 wich fraction can be used in place of 7/10 to find the value of the expression
Answer:
70/100.
Step-by-step explanation:
When adding fractions, you need to find a common denominator.
This just means that the numbers at the bottom of both fractions you are adding must be the same.
So for 19/100 + 1/10, you need to match the two denominators (bottom numbers).
To do this, you need to multiply 10 by 10 to get 100.
What you do to the bottom, you must always do to the top as well.
So multiply 7 by 10 and get 70.
70/100 will replace 7/10.
Now you can add fractions because the bottom numbers are the same.
Can anybody help me please? it’s a major and i’m very confused.
Find x and y. please help
Answer:
option c is the correct one according to me......
A student scored 80 and 93 on her first two quizzes. Write and solve a compound inequality to find the
possible values for a third quiz score that would give her an average between 85 and 90, inclusive.
Answer:
I think it would be 87.5 as an average between 85 and 90.
Step-by-step explanation:
Complete this statement using >, <, or =
0.615 _____ 0.137
Answer:
0.615>o.137
Step-by-step explanation:
>
>>>>>>>>>>>>>>>>>>>>>>
i need help asap please and thanks
Answer:
It will be 29.39
Step-by-step explanation:
Hope this Helped
[tex] \sin ^{ - 1} ( \frac{4}{9}) = 26.39[/tex]
I need help plz ASAP
Answer:
2nd one down
Step-by-step explanation:
Answer:
Step-by-step explanation:
Need asap- will give brainliest-real answers only or you will be reported
Answer: The answer is D.
Step-by-step explanation: In this case, you have to find the LCM. The LCM is 72 because both 24 and 36 are factors of 72, and that is the first product that both 24 and 36 are factors. Brainliest plz
Answer:
I'm so sorry I'm not exactly how to figure this out but I think it would be 96 seconds. If I'm wrong please let me know
Step-by-step explanation:
what is the solution to the system of equations?
Since a middle school opened, the boys basketball team has had the same record every season. The team has won a total of 130 games while losing only 10 games. Find the constant of proportionality of wins to losses.
Answer: 1:13 or for every 10 games they will lose one game
Step-by-step explanation:
(05.06 LC) A person drives her own personal vehicle to work two days of the week. Her commute to and from work is 42 miles a day, and her car averages 28 miles per gallon? How much gasoline is the person conserving a day if she takes the train instead? Group of answer choices 1.5 gallons per day 3.0 gallons per day 4.5 gallons per day 5.5 gallons per day
Answer:
1.5 gallon per day
Step-by-step explanation:
As given,
Daily miles = 42
Average gasoline used = 28 mil/gallon
Daily use of gasoline = [tex]\frac{Daily mile}{Average gasoline}[/tex]
= [tex]\frac{42}{28}[/tex] = 1.5 gallon /day
∴ we get
she conserve gasoline a day = 1.5 gallon per day
I need help with 4,5,6
Answer:
4. 3. 10
5. 1102.31
6. 17.37
Step-by-step explanation:
how many 1/5 of a liter can 1 1/2 bottle of water
Answer:
7 1/2
Step-by-step explanation:
3/2 divided by 1/5 = 3/2 * 5/1 = 15/2 = 7.5
Answer:
7 1/2 glasses can Lin fill.
Step-by-step explanation:
To know how many glasses can Lin fill with a 1 1/2 lite bottle of water, we have to divide:
According to this result, Lin can fill 7 glasses and one half, that's what means 7.5.
(hope this helps can i plz have brainlist :D hehe)
Please please PLEASE Help me!7th grade math, I will give brainliest to the correct answer!
Answer:
c
Step-by-step explanation:
calculate the area of trapezium
If the sequence 36, 24, 16, ... is geometric, find S5. PLEASE I NEED HELP W THIS!!
Answer:
This is a sequence of geometric and for 5 it will be 4.74
Step-by-step explanation:
36,24,16,7.11, and 4.74
Just divided by 1.5 and you will see
Hope this Helped
A 40% discount is the same as paying
Answer:
60%
Step-by-step explanation:
What is 7+y(3+y) when y=5
Answer:
47
Step-by-step explanation:
Sub in 5 for y:
7+5(3+5)
7+5(8)
7+40
47
Answer:
96
Step-by-step explanation:
3 + 5 = 8
7 + 5 = 12
So, 12(8) is the same as 12 x 8.
12 x 8 = 96