Answers
9514 1404 393
Answer:
V = (x)(10-2x)² . . . . factored form
V = 4x³ -40x² +100x . . . . standard form
Step-by-step explanation:
A square with corners cut out has no volume. It is a plane figure.
__
We presume you are interested in the volume of the open-top box obtained by folding up each "ear" of the cut figure. The length of each side of its square bottom is 10-2x. The depth of the box is x. So, the volume is ...
V = LWH = (10-2x)(10-2x)(x)
V = x(10 -2x)²
_____
The graph shows the volume is a maximum when x = 1 2/3 cm.
Related Questions
angle
1. Classify the following triangles according to their (1) sides and (ii) angles,
(fig 1) A=8cm b=5cm c=8cm
Answers
Answer:
Isosceles triangle
Step-by-step explanation:
The given sides of a triangle are 8 cm, 5 cm and 8 cm.
We need to say that the type of triangle.
The two sides of a triangle are same i.e. 8 cm and the other side is 5 cm.
Such type of triangle in which two sides are equal, the triangle is isosceles. Here, two sides are 8 cm and the third one is 5 cm. It means the triangle is an isosceles triangle.
You have 7 cups of raisins. A recipe calls for 2/3
cup of raisins per serving. How many full servings can you make?
Answers
Answer:
10 servings
Step-by-step explanation
7 cups is equal to 21/3 cups. Since 21 isnt divisible by 2, you have to round down to the nearest divisible number, which would be 20. 20/2 is 10, so 10 is the answer.
Find whole numbers a,b,c so that
Answers
Answer:
Step-by-step explanation:
I can't give answer you by step to step cause I can't make any symbols through my computer.
Convert 3 weeks to hours. Use a lable.
Answers
Answer: 504 hours.
Step-by-step explanation: I am assuming it says, use a table not a lable.
Well, I can't make a table, so I will tell you where to put everything in a table.
We start with placing one day, one day is 24 hours. One day goes on the top, 24 hours goes on the bottom. Then, we know there are 7 days in a week, so we jump ahead, we multiply 24 by 7 and 1 by 7.
24 x 7 = 168 and 1 x 7 = 7
So for every week, it is 168 hours. Now we need to find three weeks. So we multiply 7 x 3 to get the days. which is 21. Now we need to multiply the hours by the 3 weeks. So we multiply 168 by 3 which is 504.
So 504 hours are in 3 weeks.
On a number line, the surface of a river is marked at −220 feet and the top of a building is marked at +19 feet, where 0 represents sea level. What do −220 and +19 represent?
220 feet below sea level and 19 feet above sea level
220 feet above sea level and 19 feet below sea level
220 feet below sea level and 19 feet above 220
220 feet above sea level and 19 feet below 220
Answers
Answer:
A
Step-by-step explanation:
0 is sea lvl so just add and subsubtract
Answer:
A
Step-by-step explanation:
its A bc it said -220 witch is negative so that means ill be below sea level and +14 is a positive number so that will be above sea level.
Hope that helps!
~Emma~
what is the answer to 3(x-4)=12 in simplest form ?
Answers
Answer:
x = 8
Step-by-step explanation:
You distribute the 3 to x and -4.
[tex]3x-12=12[/tex]
You add 12 to both sides.
[tex]3x=24[/tex]
Then you divide by three on both sides.
[tex]\frac{3x}{3}=\frac{24}{3}\\[/tex]
[tex]x=8[/tex]
Find the area of a circle with a diameter of \color{green}{16}16start color green, 16, end color green.
Either enter an exact answer in terms of \piπpi or use 3.143.143, point, 14 for \piπpi and enter your answer as a decimal.
units^2
2
Answers
Answer:
64π
Step-by-step explanation:
no
What is 151% of 70.Please explain how u did it.
Answers
Answer:105.7
Step-by-step explanation: 1.51 times 70
Answer:
[tex]151\% \: of \: 70 \\ \frac{151}{100} \times 70 \\ \boxed{105.7}[/tex]
105.7 is the right answer.
What is mzA? Enter your answer as only a number
Answers
Answer:
A = 25
B = 65
Step-by-step explanation:
Remark
I hope you mean what is the size of <A? If not leave a note. If I am correct than A and C are complementary (equal 90o) since B is a right angle.
Solution
2x + 1 + 5x + 5= 90 Combine like terms
7x + 6 = 90 Subtract 6 from both sides
7x = 90-6
7x = 84 Divide by 7
x = 84/7
x = 12
==========================
Now that is not quite the answer.
A = 2x + 1
A = 2*12 + 1
A = 25
B = 5x + 5
B = 5*12 + 5
B = 60 + 5
B = 65
The discount price of a hat is $24 whats the regular price if the discount is 20%
Answers
Answer:
30
Step-by-step explanation:
discounting by 20% is the same as marking to 80% of the original cost. 80% = .8
set up equation and solve
.8x=24
x=30
F(x)=1/2x+4 and g(x)=−8f(x). What equation shows the correct rule for the function g? A. g(x)=−8x−32. B. g(x)=−4x+4. C. g(x)=−4x−32
Answers
Answer:
f(x)=1/2x+4.
Step-by-step explanation:
what is
14/24 plus 10/36
Answers
Answer:
31/ 36
Step-by-step explanation:
21 + 10/ 36
= 31/ 36
hope it helps!
Many families in California are using backyard structures for home offices, art studios, and hobby areas as well as for additional storage. Suppose that the mean price for a customized wooden, shingled backyard structure is $3,200. Assume that the standard deviation is $1,200. (a) What is the z-score for a backyard structure costing $2,300
Answers
Answer:
-0.75
Step-by-step explanation:
To get the z score we have to use this formula
Z = X-mean/standard deviation
X = 2300
Mean = 3200
The standard deviation = 1200
When we plug these values into the z formula above, we have:
2300-3200/1200
= -900/1200
= -0.75
the z-score for a backyard structure costing $2,300 is therefore -0.75
the ratio of boys to girls in a class is 4:5 what frqction if the class are boys
Answers
Answer:
4/9 to 5/9
Step-by-step explanation:
So, out of every 9 students, 4 are boys. Therefore, 4/9 of the students are boys. The ratio of boys to girls is 4:5. So let 4x be the number of boys and 5x be the number of girls.
please i need help:/
Answers
Answer:
It is 37%.
The formula for calculating your credit utilization ratio is pretty straightforward. To figure it out for an individual card, divide your credit card balance by your available credit line.
What you you do is divide the credit card ratio for each one.
For the first card: $2,397 (total on card) divided by 16,000, (the limit) is 0.149, we round that to 0.15. (15%)
For the second card: $1,218 (total on card) divided by 5,500 (the limit) which is 0.221. We round that to 0.22. (22%)
The question asks for the OVERALL, and that means to add. 22+15=37.
What is the best estimate for 82% of 503?
Answers
Need help please!!! it’s important
Answers
Answer:
4/D a reflection fallowed by a rotation.
sorry if I am wrong
If 10 percent of a number equals 30, find 40 percent of that number.
Answers
To find the whole number given the fraction and the number by the fraction, you multiply the number by the reciprocal/inverse of the fraction.
30 * 100/10= 300
So the whole number is 300 and to find 40% just multiply
300 * 40/100 = 120
:D
Which of the following numbers
is a solution to this inequality?
14x > 36
3
2.
Answers
Answer:
[tex]x=\frac{18}{7}[/tex]
Step-by-step explanation:
PLEASE HELP ASAP!!!!
Answers
what is the distance from eric bus stop to school
Answers
Answer:
what
Step-by-step explanation:
We need the Math things tho lol
Percy bought an encyclopedia pried at $13.85 shipping and handing cost an additional 20 percent of the price
Answers
Answer:
Percy spent $2.77 for shipping and handling.
Step-by-step explanation:
2.77 is 20 percent of 13.85
Hello! :)
Please help me solve this + explain your answer :)
I will indeed give you Brainlst <3
Answers
Answer:
A
Step-by-step explanation:
The two triangles are congruent because if each triangle's angles add up 180 degrees, you can deduce that the triangles have atleast two congruent angles.
Triangle RST:
48 + 73 = 121
180 - 121 = 59
Angle R = 59
Angle T = 48
Angle S = 73
59 + 48 + 73 = 180
Triangle ABC:
73 + 59 = 132
180 - 132 = 48
Angle A = 59
Angle B = 73
Angle C = 48
59 + 48 + 73 = 180
A rocket is launched from a tower. The height of the rocket, y in feet, is related to the time after launch, x in seconds, by the given equation. Using this equation, find the time that the rocket will hit the ground, to the nearest 100th of second.
y=-16x^2+116x+75
Answers
Answer:
7.85
Step-by-step explanation:
the other guy is incorrect,
A student takes 25 minutes to solve 10 math problems in class if the student solve similar problems at the same rate how many minutes will it take the student to solve 12 math problems
Answers
Answer:
The answer would be 30 minutes
Step-by-step explanation:
Find how many ties 12 can go into 10. (Divide 12 divided by 10=1.2)
Multiply 25 times 1.2 (30)
Your answer would be 30 minutes
Hope I helped!! :)
Sorry if it's wrong! :(
Pls mark brainliest!!!
Pls help due by 12:00 I’ll brainlest
Answers
Answer: 7n - (4n -3)
Step-by-step explanation:
Which distance is greater 2000m or 1km 571m
Answers
Answer: 2000m
Step-by-step explanation:
1km = 1000 m
1000 + 571 = 1571m
2000m > 1571m
At the bowling alley, there are 25 people bowling. There is a 60% increase in bowlers the next night. How many people are bowling on the second night?
Answers
Answer:
There would be 40 people bowling on the second night.
Step-by-step explanation:
25 x .60 = 15
60% of 25 is 15.
25 + 15 = 40
Answer:
40
Step-by-step explanation:
-2(7-15)
What is the value of
?
4
O 4
0 -2
O 2
O 4
Answers
Malachy, Sushil and Fiona share some sweets in the ratio 7:1:1. Malachy gets 90 more sweets than Fiona. How many sweets does Sushil get?
Answers
Answer:
15
Step-by-step explanation:
Fiona (F) = Sushi (S)
Malachy (M) = 7 Fiona (F)
M = F + 90
F + 90 = 7F
6F = 90
F (Fiona) = 15
S (Sushi) = 15
check: Malachy (M) = 15 * 7 = 105
M-F = 105 - 15 = 90