Answer:
1) L = 54", W = 6", H = 9"
2) Extra Space = 1389.96 in³
Step-by-step explanation:
1)
LENGTH:
Since, there will be 18 balls along the length of box. Therefore,
Length = L = (18 balls)(Diameter of 1 ball) = (18)(3'')
L = 54"
WIDTH:
Since, there will be 2 rows of cans, and hence, 2 balls along the width of box. Therefore,
Width = W = (2 balls)(Diameter of 1 ball) = (2)(3'')
W = 6"
HEIGHT:
Since, each can can hold 3 balls along the height of box. Therefore,
Height = H = (3 balls)(Diameter of 1 ball) = (3)(3'')
H = 9"
2)
First we calculate the total volume of box:
Total Volume = L*W*H = (54")(6")(9") = 2916 in³
Now, we calculate volume of one ball:
Volume of 1 Ball = (4/3)π(d/2)³ = (4/3)π(3"/2)³ = 14.13 in³
Now, we calculate the total number of balls in box:
No. of Balls = (Balls along length)(Balls along width)(Balls along height)
No. of Balls = (18)(2)(3) = 108 balls
Now, we calculate the total volume of box occupied by balls:
Total Volume occupied by Balls = (No. of balls)(Volume of 1 Ball)
Total Volume occupied by Balls = (108)(14.13 in³)
Total Volume occupied by Balls = 1526.04 in³
Hence, the extra space will be:
Extra Space = Total Volume of Box - Total Volume Occupied by Balls
Extra Space = 2916 in³ - 1526.04 in³
Extra Space = 1389.96 in³
What is the greatest four-digit multiple of 18?
Please help me
Answer:
9990.
Step-by-step explanation:
Convert the following fraction to a decimal: ⅖ *
The time between arrivals of taxis at a busy intersection is exponentially distributed with a mean of 10 minutes. (a) What is the probability that you wait longer than one hour for a taxi? (b) Suppose that you have already been waiting for one hour for a taxi. What is the probability that one arrives within next 10 minutes? (c) Determine xx such that the probability that you wait more than xx minutes is 0.10. (d) Determine xx such that the probability that you wait less than xx minutes is 0.90. (e) Determine xx such that the probability that you wait less than xx minutes is 0.50
Answer: a)0.025 b)0.63 c)23 d)1.053 e)6.93
Step-by-step explanation:
E(x)= 10
It is a continuous random variable, so calculating for ✓, we have
10=E(x)1/✓
✓=1/10=0.1
1)P(x>60)=1-F(60)=e^0.1x60=0.0025
2) Employing lack of memory property, we have, P(X<70|X>60)=P(X<10)= F(10)=1-e^-0.1x10= 0.63
3) for 0.1, x= -1/0.1 ln0.1= 23
4) for 0.9, x= -1/0.1 ln 0.9= 1.053
5) for 0.5, x -1/0.1 ln 0.5= 6.3
Model the following situation with an equation or inequality statement.
Twice a number is one.
Answer:
2x=1
Step-by-step explanation:
Use x for "a number"
x times 2 = 1
2x=1
which solves for 0.5 or 1/2
2x = 1
yea umm her answer was correct! i checked!
Help me :( please omg this is to hard for me
Answer:
The answer is 39.
Step-by-step explanation:
bc^2 + a / c
=(9)(4)^2 + (12) / (4)
=(9)(4*4) + (12) / (4)
=(9)16 + (12) / (4)
=144 + 12 / 4
=156 / 4
=39
Answer:
327
Step-by-step explanation:
when the variables are together multiply
so
9×4=
36
36²=
1296
1296+12=
1308
1308÷4=
327
hope this helps!
If h(x) = 20 +5, find h(2)
Answer:
I think the answer is 50
Step-by-step explanation:
thats how i learned in school i dont remember tho
Ajay says that if you take a square number and multiply it by its
square root, you will always end up with a cube number.
Show that Ajay is correct.
Example: What is 3 squared?
3 Squared== 3 × 3 = 9
"Squared" is often written as a little 2 like this:

This says "4 Squared equals 16"
(the little 2 means the number appears twice in multiplying, so 4×4=16)
Square Root
A square root goes the other direction:

3 squared is 9, so a square root of 9 is 3
It is like asking:
Tomika uses 619 inches of wire to make a necklace and 313 inches of wire to make a bracelet.
How many necklace and bracelet sets can she make if she uses 2813 inches of wire in all?
Enter your answer in the box.
sets
Answer:
2,796.
Step-by-step explanation:
First, I added 619 + 313, which is 932. Since she is able to use more, I multiplied it by two to get me 1,864. If I tried multiplying it by three, I would get 2,796, which is a perfect amount.
Six more than four times a number is equal to eight added to three times the same number. Find the number
6+4x=8+3x
-3x -6
x=2
the number is 2
This graph represents −2x+y=4.
Which ordered pair is in the solution set of −2x+y≥4?
(2, −1)
(−2, −1)
(−2, 1)
(2, 1)
Answer:
-2,1
Step-by-step explanation:
Answer:
the answer is (-2,1)
What is the slope of a line perpendicular to the line whose equation is
2x+12y=−192. Fully reduce your answer.
The slope of a line would be -6 which is perpendicular to the line whose equation is 2x+12y=−192.
What is the slope of the line?The slope of a line is defined as the angle of the line. It is denoted by m
Slope m = (y₂ - y₁)/(x₂ -x₁ )
We have to determine the slope of a line perpendicular to the line whose equation 2x + 12y = −192.
First, we have to find the slope of the given line
The equation of the line which is given as
2x + 12y = −192
12y = −192 - 2x
Divided by 12 both sides of the above equation to get the slope-intercept form
y = - (1/6)x - 16
Here the slope of the line (m) = -1/6
So the slope of the line perpendicular to the line will be: 1/m = 1/(-1/6) = - 6.
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Patricia bought 21 loaves of bread for $16.59.
including tax. How much does each loaf of bread
cost??
Answer:
Each loft was $0.70 cents?
Step-by-step explanation:
$16.59/ 21 =$0.70
I just read the including tax part. How much was the tax?
Answer:
$.84
Step-by-step explanation:
16.59 * .06 = .9954
.9954 + 16.59 = 17.5854
17.5854 / 21 = .8374
.8374 rounded to the nearest hundredth is .84
Lucy invested $19,000 in an account paying an interest rate of 3% compounded annually. Assuming no deposits or withdrawals are made, how much money, to the nearest hundred dollars, would be in the account after 8 years?
Answer: 24100
Step-by-step explanation:
The money in the account after 8 years is $24068.631.
Given that, principal=$19000 and the rate of interest=3%.
What is the formula to find the compound interest?The formula to find the compound interest is CI=A-P.
Where, A=Amount that is [tex]A=P(1+\frac{r}{100} )^{n}[/tex], P=principal.
Now, [tex]A=19000(1+\frac{3}{100} )^{8}[/tex]
=19000[tex](1.03)^{8}[/tex]
=19000×1.26677008139
=$24068.6315464
=$24068.631
Therefore, the money in account is $24068.631.
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Which table is correct for y = -3/2X + 5
Answer:
we need the tables.
Step-by-step explanation:
Hiiii Please help!!!
m/n(x), x≠
When we evaluate the quotient functions, (mn)(x) for x = -3
(mn)(-3) = 9 and (m/n) (x), x ≠ 0
How did we evaluate the quotient function?To evaluate the quotient function (mn)(x) for x = -3, we substituting x = -3 into the function mn(x).
This gives us (mn)(-3) = m(-3) × n(-3) = (-3)² × (-3) = 9.
We then need to evaluate (m/n)(x), x ≠ 0.
This is done by dividing the function m(x) by the function n(x). This gives us (m/n)(x) = m(x) / n(x) = x^2 / x = x. However, this expression is undefined when x = 0, because division by zero is undefine
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i give new question for not so many points. 44+4
Answer:
48
Step-by-step explanation:
Answer:
48
Step-by-step explanation:
44+4=48
yeah basic answer
HEY CAN ANYONE PLS ANSWER DIS RQ!!!!!!!!!
Answer:
A
Step-by-step explanation:
substitiuting the values repectively gives you the answer for the other.
Hello I need help with my school question. Here it is. Estimate.
73
×
64 And it’s not 4,672. I tried that
The American Academy Dermatology says that hair grows about 6 inches per year. How much hair can you expect to grow after 3 years, given that you do not get any haircuts.
-2x+m=5d
solve for m.
Answer:
m=2x+5d
Step-by-step explanation:
hi pls help! i'll give brainliest +30 points
Answer:
Option 3
Step-by-step explanation:
Because only the constant is changed.
Write each decimal as a mixed number in simplest form.
6. 3.6
7. 10.4
8. 2.11
Answer:
3 and 3/5
10 and 2/5
2 and 11/10
Step-by-step explanation:
ANSWER IT ANSWER IT!
Answer:
A perfect square means that all side are EXACTLY equal. I hope this helps!
Step-by-step explanation:
In number theory, a perfect number is a positive integer that is equal to the sum of its positive divisors, excluding the number itself. For instance, 6 has divisors 1, 2 and 3, and 1 + 2 + 3 = 6, so 6 is a perfect number
What is the slope of the line on the graph?
10
.
Enter your answer in the box
Answer:
Slope = -2
Step-by-step explanation:
use the formula y2-y1 over x2-x
Pick two points from the graph
(3,-6) and (-3,6)
X= 3 and -3
Y= -6 and 6
6-(-6) over -3-3 = -2 (Reduce the expression, if possible, by cancelling the common factors.)
List the values in ascending order.
43%.
2 3
is
Answer:
1. 2/3 = 66.66%2. 43%Thank you ☺️
What is the probability of
rolling a 6?
Simplify the fraction
Enter the number that belongs in the green box.
Answer:
1/6
Step-by-step explanation:
There are 6 different outcomes when rolling a fair dice.
You can roll a:
1
2
3
4
5
or
6
There is one outcome we want. Probability=number of desirable outcomes/total number of options.
1= number of desired outcomes
6-=total number of outcomes
1/6
Which situation requires the use of the cube root?
A. Determine the surface area of a cube given the side
B. Determine the volume of a cube given the side
C. Determine the side of the cube given the volume
D. Determine the volume of a sphere given the radius
Answer:
C
Step-by-step explanation:
Mathematically, the volume of a cube of side L is given as;
V = L^3
Now, given V and we want to find L, what we shall simply do is to find the cube root of both sides
By finding the cube roots of both sides, we can easily get the value of the side of the cube in question
When
When 7 is subtract from three times a certain number the result is 28 what is the number
Answer:
x=49
Step-by-step explanation:
you replace the unknown with a variable (x)
you subtract 7 three times, so it x-7-7-7=28 or x-21=28
you add 21 to both sides, then you get x=49
And electronics store chain sells headphones The company is about to introduce a new headphones model that is expected to sell very well across its various stores. The projected revenue and cost functions for the headphones are R(x)=-0.25x+25x and c(x)= -17+90. What is the profit function
Answer:
[tex]P(x) = -0.25x^2 + 42x - 90[/tex]
Step-by-step explanation:
Given
[tex]C(x) = -17x + 90[/tex]
[tex]R(x) =- 0.25x^2 + 25x[/tex]
Required
Determine the profit function.
Profit function is calculated as thus:
[tex]P(x) = R(x) - C(x)[/tex]
So, we have:
[tex]P(x) = -0.25x^2 + 25x -(-17x + 90)[/tex]
[tex]P(x) = -0.25x^2 + 25x + 17x - 90[/tex]
[tex]P(x) = -0.25x^2 + 42x - 90[/tex]
Look at the words.
effect principle decent accept
What makes these words difficult to spell?
A. They all end in a silent -e.
B. They all have a silent consonant.
C. They all have doubled consonants.
D. They all are commonly confused words.
Answer:
Your answer is: I would say C) They all have doubled consonants.
Step-by-step explanation:
Hope this helped : )
They are all commonly confused words. Makes these words difficult to spell. The sentence "effect principle decent accept". Thus, option (d) is correct.
What are words?
The term words referred to the combination of the letters. The words are the always in to define the meaning. The letters are arranged in the proper manner of the spellings are in the correct format. The words are the arranged in proper manner in the creation of the sentence. The words are the noun and the pronoun.
According to the sentence, was the based on the commonly confused words. The words are the always commonly as the confused because each word is a different meaning as the similar spelling.
As a result, the commonly confused words are word difficult to spell. Therefore, option (d) is correct.
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