The given box has the shape of a cuboid, since its height is greater than its width. Thus, the maximum volume for such box is 11200 [tex]in^{3}[/tex].
The volume of an object is a measure of it containing capacity. Since the given box has a taller height than its width, then it has the shape of a cuboid. The volume of a cuboid is given as:
volume = length x width x height
= area x height
Given that the sum of the perimeter of its base and its height is not more than 108 inches, we can say; let the sides of the square base be represented by l and its height by h.
Then;
4l + h = 108
Therefore, maximum volume for the box can be attained when l = 20 inches and h = 28 inches.
So that;
4(20) + 28 = 80 + 28
= 108 inches
Thus;
maximum volume = area of the square base x height
= 400 x 28
maximum volume = 11200 [tex]in^{3}[/tex]
The maximum volume for such a box would be 11200 [tex]in^{3}[/tex].
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A new bank customer with 3,000 wants to open a money market account the bank is offering a simple interest rate of 1.8% how much interest will the customer earn in 20 years
Answer:
$3540
Step-by-step explanation:
See explanation
Step-by-step explanation:
The Simple Interest will be calculated as:
= P × R × T
= $3000 × 1.8% × 10.
= $3000 × 0.018 × 10
= $540
The interest that the customer earn in 10 years is $540.
Then, the account balance after 10 years will be:
= Principal + Interest
= $3000 + $540
= $3540
Therefore, the account balance will be $3540
WILL GIVE BRAINLISET
Find the equation of the straight line parallel to the y-axis and pass through the point (-2, 3). _____
Someone plz help me :(
Answer:
B
Step-by-step explanation:
I only help you because you have nezuko as profile picture
Ive been asking but people just send me adult links can someone help?
Answer:
x=15
Step-by-step explanation:
The triangles are the same so they have the same sides
x+9=2x-6
9=x-6
15=x
(334)÷(−212) dive it
Juan wants to buy a house for $162,800. The rate of down payment is 20% of the cost of the house. What is the down payment? i assume $3,256,00
Juan wants to buy a house for $162,800. The rate of down payment is 20% of the cost of the house. What will the mortgage be?
Answer:
I think its gonna be 162.860
(REPOST) STATION 3 ! 40 POINTS
Answer:
Great valley
Mercury
Liberty
Delta
International
Step-by-step explanation:
Liberty Express: 128.333
Mercury speed: 130
International speed: 122.666666
Delta Eagle speed: 125
Great Vally speed: 130.5
distance/time=speed
Order:
Great valley
Mercury
Liberty
Delta
International
Pls tell me the answer and step by step too cus I don’t understand, thank u.
Step-by-step explanation:
if c =-11:
-(-11)-3=11-3=8≥-5.5
so the right answer is -c-3≥-5.5
pls help asap MIDSEGMENTS
Answer:
yyyyyyyyyyyyyyyyyyyyyyyyyyyyyy
Ms. Adam drives 150% of Mr. Gilbert’s distance. How far does Ms. Adam drive?
Answer:
first tell how far does Mr. Gilbert drive???
Mr. Gilbert drives 8 miles. Ms. Adam drives 150% the distance.
Start by dividing the percent by 100 to find the multiple. 150/100 is 1.5. Now multiply 1.5 times 8 to find the distance travelled. 8 * 1.5 = 12. Another way to think of 1.5 is (1 x 8) + (.5 x 8) = (8 + 4) = 12
I hope this helps! :)
14) When simplified, -2(x + 1) - 4(x - 3) is equivalent to
Answer:
-6x+10
Step-by-step explanation:
-2(x + 1) - 4(x - 3)
Distribute
-2x-2 -4x+12
Combine like terms
-6x+10
Answer:
-6x +10
Step-by-step explanation:
First, open the parenthesis by multiplying the number outside to the terms inside:
-2(x+1) = -2x - 2
-4(x-3) = -4x + 12
then combine the like terms:
-2x - 4x + 12 - 2 = -6x + 10
an angle measuring between 90 and 180 is called__
Answer:
A) obtuse angles
Step-by-step explanation:
Options:
A.obtuse
B.acute
C.straight
D.small
Correcr Answer A) obtuse
(Hope this helps can I pls have brainlist (crown)☺️)
Find the circumference of the circle in terms of .
58 in.
a.1161 in.
b. 587 in.
c.232 in.
d. 33647 in.
Answer:
116π in
Step-by-step explanation:
Circumference = 2πr
Circumference = 2(58)π
Circumference = 116π
-Chetan K
In the element above the mass number is_____ and the atomic number is _____
Blank 1?
Blank 2?
Mass number is 14
Atomic number is 6
How to find the limit of a function.
Answer:
In mathematics, the limit of a function is a fundamental concept in calculus and analysis concerning the behavior of that function near a particular input. Formal definitions, first devised in the early 19th century, are given below. Informally, a function f assigns an output f(x) to every input x.
Step-by-step explanation:
If you answer it right i will give Brainliest. Take 7 times 5= divided by 25 times 100 = divided by 300.
Step-by-step explanation:
7×5÷25×100÷300
25÷5=5
7×5×100÷300
300÷100=3
7×5×3=105
f(x)=-x^2+9x+4f(x)=−x2+9x+4\text{Find }f(-8)Find f(−8)
Answer:
-74
Step-by-step explanation:
f(x) = -2x^2 +8x -10
Let x = -4
f(-4) = -2 ( -4)^2 +8(-4) -10
= -2(16) -32-10
= -32 -32-10
= -74
An item sells for $40. The sales tax is 8%. What is the total cost of the item?
Answer:
43.20
Step-by-step explanation:
I looked up what is 8% of 40 then added it to 40
Step-by-step explanation:
the item sold $40
the sales tax 8%
8/100*40
3.5
tell me what u think of this edit. be honest
https://www.canva.com/design/DAEvhu4Z4k8/aBnd2_pTqvSH-NiEyhcVIQ/watch?utm_content=DAEvhu4Z4k8&utm_campaign=designshare&utm_medium=link&utm_source=publishsharelink
its alright, not the best but its good.
Answer:
very nice!
Step-by-step explanation:
51.807 round to the 2 decimal place
Answer:
51.81
............................................
Answer:
51.807 rounded to two decimal places is 51.81
Step-by-step explanation:
Brainliest please
~hannah32010~
What is the slope if the line is differeniable.
Step-by-step explanation:
you mean "differentiable" ?
well, remember, a line equation is
y = ax + b
a is the slope
it is always, ALWAYS the factor of x.
now we differentiate the line equation per dx/dy
y' = a
and that is that.
the first derivative of an equation of first degree (that means the highest exponent of the variable is 1), which is a line equation, is a constant : the factor of x.
and since the factor of x is the slope, that means that the constant result of the first derivative of the line equation is the slope.
1/2v-12+20=14
whats the answer of v
Answer:
v=12
Step-by-step explanation:
1/2v-12+20=14
Add.
1/2v+8=14
Subtract 8 from both sides of the equation.
1/2v=6
Divide 1/2 from both sides of the equation.
v=12
Hope this helps :)
432 women attended a conference. Women made up 72% of the total conference attendees.
Men made up the other 28% of attendees.
How many men attended the conference?
Answer:
168
Step-by-step explanation:
If entire number of attendees = y
then number of women = y* (72/100)
since y* (72/100) = 432 ( given)
y =( 432*100)/72
so, y = 600
since men made up the remaining 28% of attendees ,
number of men = y * (28/100) = 600* (28/100)
number of men = 168
A floor is covered by 800 tiles measuring 10cm^2. How many square tiles of side 8cm would be needed to cover the same floor
Answer:
125 square tiles
Step-by-step explanation:
(800*10)/8^2=8000/64=125
For her softball uniform, Meredith has a green, white, or striped jersey. She also has white or green shorts. If Meredith chooses a
jersey and shorts randomly, what is the probability that she will go to softball practice in a striped jersey and green shorts?
1
5/6
1/5
1/6
Answer:
Mabey B) if someone else says other wise follow them.
The probability that she will go to softball practice in a striped jersey and green shorts is 1/6.
what is Probability?The ratio of good outcomes to all possible outcomes of an event is known as the probability. The number of positive results for an experiment with 'n' outcomes can be represented by the symbol x. The probability of an event can be calculated using the following formula.
Probability(Event) = Favorable Outcomes/Total Outcomes = x/n
Given:
Meredith has a green, white, or striped jersey.
So, probability that she will go to softball practice in a striped jersey and green shorts
= 1/3 x 1/3
= 1/6
Hence, probability that she will go to softball practice in a striped jersey and green shorts is 1/6.
Learn more about probability here:
https://brainly.com/question/11234923
#SPJ2
Please explain I don’t really understand this lol
Answer:
Option 2: y = ⅓ x
Step-by-step explanation:
A compression is the transformation of a parent graph wherein there is a decrease in the distance between the corresponding points of a graph and a line.
A vertical compression of the parent graph is represented by y = a·f(x), where the parent graph is compressed by a factor of a, given that 0 < a < 1.
Out of all the given options, the equation in Option 2: y = ⅓ x, represents the vertical compression of the parent graph by a factor of ⅓, as the value of a is between 0 and 1. This implies that the y-coordinate of each point on the graph of y = ⅓ x is one-third the y-coordinate of the corresponding point on the graph of the parent function.
Therefore, the correct answer is Option 2: y = ⅓ x.
4n + 8 = 40
what does n =
4n + 8 = 40
4n = 40 - 8
4n = 32 / : 4
n = 8
N = 8
Hope this helps!!! if so please give brainliest
Maki~
Use: 0, 4, 6 11, 9,8, 9, 1, 5 9, 7 to construct a line plot. Describe the line plot to the best of your ability in the box below
Answer:
0, 1, 4, 5, 6, 7, 8, 9, 9, 11.
Step-by-step explanation:
Since 11 is the maximum number in the line plot, 0 is the least number, and 7 is the medium number on the line plot.
x
x x x x x x x x x
0 1 4 5 6 7 8 9 11
Average Speed=Distance undefined ➗ Time
A Rocket took 5 minutes to travel the 185 km necessary to leave the atmosphere. How fast did the Rocket travel?
Answer:
37 km/minute
Step-by-step explanation:
Using speed formula: [tex]Speed = \frac{Distance}{Time}[/tex]
=> 185/5
=> 37 km/minute
Hoped this helped.
Why is the square root of 25 a rational number?
Answer:
A rational number can be expressed as a fraction.
√25 = 5 and 5 can be written in the form of a fraction 5/1.
Hope this helps :)
