1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
docker41 [41]
3 years ago
6

Can someone help me please

Mathematics
1 answer:
STatiana [176]3 years ago
7 0
A is the correct answer
You might be interested in
Find the dimensions of the open rectangular box of maximum volume that can be made from a sheet of cardboard 23 in. by 13 in. by
faltersainse [42]

Answer:

The dimension of the box is 17.66 in by 7.66 in by 2.67 in.

Therefore the volume of the box is 361.19 in^3.

Step-by-step explanation:

Given that the dimensions of a cardboard is 23 in by 13 in.

Let the side of the square be x in.

Then the length of the box= (23-2x) in

and the width of the box =(13-2x) in

and height = x in.

The volume of the box is = length ×width × height

                                         =[(23-2x)(13-2x)x] in^3

                                         =(299x-72x² +4x^3) in^3

∴V=299x-72x² +4x³

Differentiating with respect x

V'= 299-144x+12x²

Again differentiating with respect x

V''= -144+24x

To find the dimensions, we set V'=0

∴299-144x+12x²=0

Applying Sridharacharya formula that is the solution of a quadratic equation ax²+bx+c is x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}

Here a=12, b=-144 , c=299

\therefore x=\frac{-(-144)\pm\sqrt{(-144)^2-4.12.299}}{2.12}

\Rightarrow x= 9.33, 2.67

If  we take x=9.33 in, then the width of the box [13-(2×9.33)] will negative.

∴x = 2.67 in

If at x = 2.67, V''<0 , then the volume of the box will be maximum or V''>0 then volume of the box will be minimum.

V''|_{x=2.67}=-144+(24\times 2.67)=-79.92

Therefore  at x = 2.67, the volume of the box maximum.

The length of the box =[23-(2×2.67)] in

                                    =17.66 in

The width of the box =[13-(2×2.67)] in

                                  =7.66 in

The height of the box= 2.67 in

The dimension of the box is 17.66 in by 7.66 in by 2.67 in.

Therefore the volume of the box is =(17.66×7.66×2.67) in^3

                                                            =361.19 in^3

8 0
3 years ago
keith bought a soft drink for 2 dollars and 6 candy bars. he spent a total of 14 dollars. how much did each candy bar cost?
Nana76 [90]

Answer:

2

Step-by-step explanation:

so if you take away 14 by 2 =12 and 12 divided by 6= 2

6 0
2 years ago
Read 2 more answers
Explain the process for finding the product of two integers
mafiozo [28]
Rule 1: The product<span> of a positive </span>integer<span> and a negative </span>integer<span> is a negative </span>integer<span>. Rule 2: The </span>product of two<span> negative </span>integers<span> or </span>two<span> positive </span>integers<span> is a positive </span><span>integer</span>
4 0
3 years ago
A dog eats 5 cups of dry dog food in 2 1/2 days.
lisov135 [29]
(5 cups)/(2.5 days) = (2 cups)/(1 day)
<u><em>
 . . . answer is 2 cups</em></u>

8 0
3 years ago
Is 2.4 bigger than 2 1/3 ?
Fynjy0 [20]
8.8 this letter forty years
4 0
2 years ago
Read 2 more answers
Other questions:
  • How many times can 1 go into 72
    7·2 answers
  • For a school event 1/6 of the athletic field is reversed for the fifth -grade classes the reserved part of the field is divided
    5·1 answer
  • Is 1-6 correct please help I will give thanks or brainliest
    10·2 answers
  • A young sumo wrestler decided to go on a special high-protein diet to gain weight rapidly. He gained weight at a rate of 5.55.55
    9·1 answer
  • Which equation demonstrates the distributive property?
    8·2 answers
  • Evaluate the expression 7b – 5d if b = 6 and d= 5.
    8·2 answers
  • Name the angle relationship.<br> please help
    10·1 answer
  • What is 10.3% of 853.93km
    5·1 answer
  • Pls help will give brainliest<br><br>(Other measurement is 5.8
    9·1 answer
  • the names of 11 boys and 6 girls from your class are put into a hat. what is the probability that the first two names chosen wil
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!