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
Sergeu [11.5K]
3 years ago
8

Find the maximum volume of a box that can be made by cutting out squares from the corners of an 8-inch by 15-inch rectangular sh

eet of cardboard and folding up the sides.
Mathematics
1 answer:
Vedmedyk [2.9K]3 years ago
7 0
<span>Answers: V = (15-2x)(8-2x)x V = 120x -46x²+ 4x³ V' = 120 -92x + 12x² 0 = 120 -92x + 12x² x = (92±52)/24 x = 6 or 5/3 Pick x = 5/3 Volume = (15-2*5/3)(8-2*5/3)*5/3 = 90.74 in³ To justify x = 5/3 is the max V" = -92 + 24x V"(5/3) = -92 + 24(5/3) <0 negative. Volume V(5/3) is max because the function is concave down with V"<0.</span>
You might be interested in
What is the measure of C?<br> O A. 60°<br> O B. Cannot be determined<br> Oc.<br> C. 30°<br> O D. 90°
cluponka [151]

Answer:

i think 60

Step-by-step explanation:

7 0
2 years ago
Read 2 more answers
12.21 is 3.7 times the number p.
ASHA 777 [7]
P3.7 = 12.21 (p × 3.7 = 12.21)

p÷3.7 = 12.21÷3.7 (p÷3.7 cancels out p×3.7 and leaves you left with the equation p = 12.21÷3.7)

p=3.3 
4 0
3 years ago
Which graph shows the solution to the equation below? log Subscript 3 Baseline (x + 3) = log Subscript 0.3 (x minus 1) On a coor
Effectus [21]

Answer:

On a coordinate plane, 2 curves intersect at (1, 1). One curve curves up and to the right from quadrant 3 into quadrant 1. The other curve curves down from quadrant 1 into quadrant 4

Step-by-step explanation:

The first function is given as:

log_3(x+3)

The second function is given as:

log_{0.3}(x-1)

First we graph both the functions.

We can see that one curves up and to the right from quadrant 3 into quadrant 1. This curve is of  log_3(x+3)

The other curve curves down from quadrant 1 into quadrant 3

Both curves interest almost at (1,1)

See the graph attached below

Blue line represents first function

Green line represents second function

The solution lies on the Red line.

8 0
3 years ago
Read 2 more answers
An automotive part manufacturer regularly makes shipments of 400 parts to merks auto repair. On average, 14 of the 400 parts are
Radda [10]

Answer:

no matter how many parts are in the shipment, 3.5% of the parts will be defective.

hope this helped, if so hit that thanks button ;D

Step-by-step explanation:


4 0
2 years ago
The endpoints of PQ are P(2, 0) and Q (4, 2). Find the coordinates of midpoint PQ.
lawyer [7]

Answer:

Step-by-step explanation:

Parameterize the ellipse as (acos∙,bsin∙). Take points P:=(acosp,bsinp) and Q:=(acosq,bsinq) on the ellipse, with midpoint M:=(P+Q)/2.

If |PQ|=2k, then

a2(cosp−cosq)2+b2(sinp−sinq)2=4k2

The coordinates of M are

xy==a2(cosp+cosq)b2(sinp+sinq)

4 0
3 years ago
Other questions:
  • A can do a work in 14 days and working together A and B can do the same work in 10 days. In what time can B alone do the work? (
    7·1 answer
  • If ΔMTV is reflected across the x-axis, what are the resulting coordinates of point T? My Answer:
    12·1 answer
  • The time (in minutes) until the next bus departs a major bus depot follows a uniform distribution from 25 to 46 minutes. Let X d
    7·2 answers
  • To which set of numbers does −1.2 belong?
    11·1 answer
  • 2^4⋅2^5−(2^2)^2<br><br> PLEASE HELP FAST!
    14·1 answer
  • NEED ANSWERS NOW!!!
    10·1 answer
  • :(<br><br><br><br> help.... :( please :(
    10·1 answer
  • What is the length of BD?
    13·1 answer
  • Answer the question please i need help
    15·1 answer
  • I can't seem to figure this one out. Could someone show how to do it and the answer? Thanks in advance!
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!