Answers
Step-by-step explanation:
Since the firm was hired to create a box kind of shape, the length, width and height will be the same
i.e volume= L*W*H= (L*L*L)= [tex]L^3[/tex]
[tex]18=L^3\\L= \sqrt{18} \\L= 3 cm[/tex]
hence the dimension is
If the volume must be exactly [tex]18cm^3[/tex] the dimension must be
length= 3 cm,
width = 3 cm and
height = 3 cm
The set of dimension if the company is to use the least materials is
length= 3 cm,
width = 3 cm and
height = 3 cm
Related Questions
What is the distance from the origin to point P graphed on the complex plane below?
Answers
Answer:
B
Step-by-step explanation:
We use the distance formula
Origin(0,0)
P(2,-5)
and get that it's root of 29
Answer:
it's B
Step-by-step explanation:
i just took the test and made sure that was the correct answer :-PPPPPPPPPPPPPPPPP
Can you answer these boxes? It's fractions and powers
Answers
Answer:
e^4 d^2
-------------------------
b^3
Step-by-step explanation:
b^-3 c^0 d^2
-------------------------
e^-4
Negative exponents flip positions
e^4 c^0 d^2
-------------------------
b^3
c to the zero power is 1
e^4 d^2
-------------------------
b^3
Answer:
d^2 e^4
--------------
b^3
Step-by-step explanation:
A length is stated as 5 cm correct to the nearest cm. What is the lower bound?
Answers
Answer:
Lower bound = 4.5cm
Step-by-step explanation:
4.5cm is the lowest number that can be approximated to 5cm
The lower bound is the smallest value that will round to the given value.
The lower bound of 5cm is 4.5 cm.
What are the bounds of a number?
There is a lower bound and upper bound of a number.
The lower bound is the smallest value that will round to the given value.
The upper bound is the smallest value that would round up to the next value.
Example:
The lower and upper bound of the number 6 is 5.5 and 6.6.
We have,
Length = 5 cm
The lower bound is the smallest value that will round to the given value.
So,
we can have 4.5 as the lower bound since 4.5 is the smallest value that will round to 5.
The upper bound is the smallest value that would round up to the next value.
We can have 5.5 as the upper bound since 5.5 is the smallest value that will round to 6.
Thus,
The lower bound of 5cm is 4.5 cm.
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What are the values of a 1 and r of the geometric series? 1 + 3 + 9 + 27 + 81
Answers
Answer:
a₁ = 1; r = 3
Step-by-step explanation:
a₁ represents the first term. It is 1 in this case.
r represents the common ratio between terms. In this case it's 3 / 1 = 3.
Answer:
a1 = 1
r = 3
Step-by-step explanation:
a1 = first term = 1
r = common ratio = 2nd term/1st term
= 3/1
r = 3
What is the recursive rule for this geometric sequence? 1/2 ,−2, 8, −32,
Answers
Answer:
an = an-1 * -4
Step-by-step explanation:
First we need to find the common ratio
r = second term / first term
= -2/ (1/2) = -4
The recursive formula is
an=an−1 * r
an = an-1 * -4
Can a function have a repeating input
Answers
Answer: It Depends
Explanation: Generally, your answer would be no because if you have a repeating input, you usually have a different output for that specific repeating input which would not make it a function.
However, a function can have a repeating input if the same input is paired with the same output and this is listed twice so it's still a function since each input pairs with a unique output.
However, if the input appears more than once, you must check to see whether the output is the same or different.
ANSWER ASAP PLEASE FOR BRAINLIEST
Answers
Answer:
Bottom= 3 Left side= 2.15 Right side= 1,775
Step-by-step explanation:
Divide every side by 4
Answer:
divide every side by 4 uwu
Mr. Ferrier invested $26,000. Some was invested in bonds that made a 5% profit, and the rest was put in stocks that made an 8% profit. How much did mr. Ferrier invest in bonds if his total profit on both types of investments was $1,420
Answers
Answer:
bonds=22000
stock=4000
Step-by-step explanation:
let b for bonds , and s for stock
b+s=26000
0.05 b +0.08 s=1420
to solve (by elimination)
1- multiply first equation with 0.05 to eliminate b
0.05 b+0.05 s=1300
0.05b+0.08s=1420
subtract two equations:
0.05b+0.05s-0.05b-0.08s=1300-1420
-0.03s=-120
s=120/0.03=4000
b+s=26000
b=26000-4000=22000
check:0.05(22000)+0.08(4000)=1420
Answer:
$22000
Step-by-step explanation:
x*0.05+(26000-x)*0.08= 1420
0.05x - 0.08x + 2080= 1420
0.03x=2080 -1420
0.03x= 660
x= 660/0.03
x= 22000
$22000 = 5% bonds
$4000 = 8% stocks
Write a two-column proof. Given: Quadrilateral ABCD is a parallelogram; M is a midpoint of Segment AB; N is a midpoint of Segment DC Prove: Quadrilateral AMCN is a parallelogram
Answers
Answer:
The answer is given below
Step-by-step explanation:
Statement Reasons
ABCD is a parallelogram; M is a midpoint Given
of AB and N is a midpoint of Segment
AB//DC, therefore AM//NC For a parallelogram, opposite . sides are parallel to each other
AB≅DC For a parallelogram, opposite . sides are equal to each other
1/2AB≅1/2DC Since both sides are equal to . each other
1/2AB = AM and 1/2DC = NC M is the midpoint of AB and N . is the midpoint of DC Midpoint
. theorem
AM≅NC Substitution, since AB is also
. equal to BC
Quadrilateral AMCN is a parallelogram If opposite sides of a
. quadrilateral is equal and .
opposite, it is a parallelogram
mr rai bys a radio for rs 1880ans sell it to mr Sherpa at 20 percent .how much money does he pay for it
Answers
Answer:
Rs 1504
Step-by-step explanation:
Mr. Rai buys for Rs 1880.
He sells it to Mr. Sherpa at 20% discount.
1880 × 20%
= 376
1880 - 376
= 1504
Mr. Sherpa buys it for Rs 1504.
Answer:
Mr. Rai will be receiving $1504 if he sells the radio for 20%.
Step-by-step explanation:
To find a discount, move the decimal over twice on the percentage. After doing this, multiply that number by the original number. You will get a new number. Subtract the price by the new number and there is your answer.
For Example:
20% = .20
1880*.20= 376
1880-376= 1504
There is a simpler way of doing this as well. Multiplying by .8 (which is the remainder of 100% after taking away 20% if this makes sense) will give you the answer immediately. Hopefully this helps.
Good luck!
Given that 8 <y< 12 and 1<x< 6, find the maximum possible value of
x+y/y-x
Answers
Answer:
Step-by-step explanation:
y = {9, 10, 11}
x = {2, 3, 4 , 5}
Maximum value of x + y = 11 + 5 = 16
Minimum value of y -x = 9 - 2 = 7
[tex]\frac{x+y}{y-x}=\frac{16}{7}[/tex]
A 2 by 3 rectangle contains 8 squares. A 3 by 4 rectangle contains 20 squares. A 4 by 6 rectangle contains 50 squares. What size rectangle contains exactly 100 squares? Is there more than one? Can you find them all? Can you prove there are no more?
Answers
Answer:
The rectangles that have exactly 100 squares are 1 by 100 4 by 11 and 5 by 8
Step-by-step explanation:
The given parameters are;
A 2 by 3 rectangle contains 8 squares
A 3 by 4 rectangle contains 20 squares
A 4 by 6 rectangle contains 50 squares
We note that the number of squares varies proportionately to the increase in the dimension of the rectangle, that is we have;
2 by 3 rectangle contains 8 squares
3 by 4 rectangle contains 20 squares increase by 12 = 3 × 4
4 by 5 rectangle contains 40 squares increase by 20 = 4 × 5
The number of squares formed can therefore be arranged in a matrix as follows(please see attached matrix);
Column, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11
Row
1
2
3
4
5
6
7
8
9
10
11
It will be observed that after reaching a point where the row and column are equal, (x, x) the rate of increase in the number of squares become constant and equal to x × ((x - 1) × 0.5) + 1) = x × (x + 1)/2
From the matrix, the rectangles that have exactly 100 squares are 1 by 100 4 by 11 and 5 by 8 and there are no more as presented in the attached matrix, the number of squares formed keeps increasing for each column and row added.
Simplify 7(A - 6). A) 7A - 42 b) 7A - 6 c) A - 6
Answers
Answer:
number 1 is 7a-42
Step-by-step explanation:
Employee A gets paid $13/hour. He got paid
$5,915 this month. How many hours did he
work? How many hours should he work next
month to earn $7,800?
Answers
━━━━━━━☆☆━━━━━━━
▹ Answer
Employee A worked 455 hours this month. He should work 600 hours next month to earn $7,800.
▹ Step-by-Step Explanation
Part A
$5,915 ÷ $13 = 455 hours
Part B
$7,800 ÷ $13 = 600 hours
Hope this helps!
CloutAnswers ❁
Brainliest is greatly appreciated!
━━━━━━━☆☆━━━━━━━
In a school of 685 students, there are 385 students involved in sports teams, and there are
450 involved with the music program. There are 87 students that are not involved in either
program. There are some students involved in both programs.
a) Draw a Venn diagram to represent this situation.
b) Use the additive principle of non-mutually exclusive sets to determine the number of
students that are involved in both team sports and music
C) use the addictive principle for the probability of non-mutually exclusive events to determine the probability of a student being involved in team sports or involved in music
Answers
Answer:
A) check attached picture
B) 272
C) 0.4478
Step-by-step explanation:
From the information given ;
A) The Venn diagram of the information can be found in the attached picture.
B) Number of students involved in both team sports and music.
n(student in sports team) = 385
n(students involved in music) = 450
Number of students involved in both music and team sport = y
Number of students not involved in either team sport or music = 87
Total number of students = 650
Therefore,
n(music alone) = 450 - y
n(team sport alone) = 385 - y
Adding the following:
n(music alone) + n(team sport alone) + n( both music and team sport) + n(neither music nor team sport) = Total number of students
450 - y + 385 - y + y + 87 = 650
922 - y = 650
922 - 650 = y
y = 272
Therefore, number of students involved in both music and team sport = 272
C) probability of being involved in team sport or in music.
P(being involved in music) = (450 - 272) / 650 = 0.2738
P(being involved in team sport) = (385 - 272) / 650 = 0.1738
P(involved in both) = 272 / 650 = 0.4184
P(involved in neither) = 87 / 650 = 0.1338
P(being involved in team sport) or p(being involved in music)
P(being involved in team sport) + p(being involved in music)
0.1738 + 0.2738 = 0.4478
A soccer team scores 12 points in 5 matches. They scored the same number of points in each of their first 3 matches and one more point in each of their last 2. How many points did they score in each match?
Answers
Answer:
2 points the first 3 matches then 3 points the last 2 matches
Step-by-step explanation:
12 points in 5 matches and the first 3 are all the same then the other 2 increased by 1 point
They got 2 points the first 3 matches then 3 points the last 2 matches
2 + 2 + 2 (first 3 matches) = 6
3 + 3 (last 2 matches) = 6
6 + 6 = 12
Please answer this question fast in two minutes
Answers
Answer:
132 degree
Step-by-step explanation: angle kjh is 132 degree and since lk is a straight line it is 180 degree. angle kjh is 132 degree so, angle LJM is 132 degree. This is because adjacent angles are equal as you can see, Angle LJM is adjacent to Angle KJH.
It is given that angle KJH=132degrees
And we need to find angle IJM
Angle IJM=132 degrees ( vertically opposite angles)
HOPE IT HELPS!!!!!
PLEASE MARK BRAINLIEST!!!!!
Help me answer these questions
Answers
Answer:
See below.
Step-by-step explanation:
1. x = e^(x/y) Taking logs:
log x = x/y
x = y log x
Differentiating:
1 = dy/dx log x + y * 1/x
dy/dx log x = (1 - y/x)
dy/dx = (1 - y/x) / log x
dy/dx = ((x - y)/ x) / log x
dy/dx = (x - y) / x log x)
2. y^x = e ^(y - x)
Taking logs:
x log y = y - x --------------(A)
y = x + x logy --------------(B)
dy/dx = 1 + x * 1/y * dy/dx + 1*logy
dy/dx - dy/dx * x/y = 1 + log y
dy/dx ( (x - y) y)) = 1 + log y
dy/dx = y(1 + log y) / (y - x)
Using (A) and (B) :-
dy/dx = x(1 + logy)(1 + logy) / x logy The x's cancel, so:
dy/dx = (1 + logy)^2 / log y
Sorry I have to go right now..
The rest of the answers are on the re-post of these questions
Pls help fast:
How many ways can 3 songs be chosen from 12 to create a 3 song ordered play list?
Answers
Answer:
1320
Step-by-step explanation:
Total number of songs = 12
Number of songs required to arrange in a play list = 3
It means we have to arrange 3 songs from 12 in the play lines. So, required number of ways is
[tex]Ways=^{12}P_{3}[/tex]
[tex]Ways=\dfrac{12!}{(12-3)!}[/tex] [tex][\because ^nP_r=\dfrac{n!}{(n-r)!}][/tex]
[tex]Ways=\dfrac{12\times 11\times 10\times 9!}{9!}[/tex]
[tex]Ways=1320[/tex]
Therefore, the required number of ways is 1320.
What is the multiple zero and multiplicity of f(x) = (x – 1)(x – 1)(x + 7)?
Answers
The zeroes of the function are 1 and 7 and multiplicity for zero 1 is two and for zero 5 is one.
What is polynomial?Polynomial is the combination of variables and constants systematically with "n" number of power in ascending or descending order.
[tex]\rm a_1x+a_2x^2+a_3x^3+a_4x^4..........a_nx^n[/tex]
We have a polynomial function:
f(x) = (x – 1)(x – 1)(x + 7)
We can write it as:
f(x) = (x – 1)²(x + 7)
Here at x = 1 the given function becomes zero and (x-1) repeats two times, so the multiplicity is 2, and for x = -7 the multiplicity is 1.
Thus, the zeroes of the function are 1 and 7 and multiplicity for zero 1 is two and for zero 5 is one.
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What is the sixth term of a_(n)=-3*2^(n+1)?
Answers
Answer:
-3
Step-by-step explanation:
Answer:
[tex]-384[/tex]
Step-by-step explanation:
n = 6 (6th term)
[tex]-3* 2^{6+1}[/tex]
[tex]-3* 2^{7}[/tex]
[tex]=-384[/tex]
Angle JKL is a right angle. The measure of the angle JKM is 65. The measure of angle MKL is x . What is the value of x?
Answers
Answer:
25
Step-by-step explanation:
angle JKM and Angle MKL are supplementary. means, they add to 90degree. So to fing the missing one, just do 90 - 65. you'll get 25.
The angle MKL is equal to 155 which corresponds to the value of x=155.
What is right angle?
The angle equal to 90 degree is called right angle and the triangle in which one angle is equal to 90 is called right angled triangle.
How to find the value of one angle when the value of two angle is given?In the figure we can see that the value of angle JKL is equal to 90, value of angle JKM is 65 and we have been given that angle MKL is equal to x.
From the figure we can see that,
MKL=JKL+JKM
=90+65
=155 degree
Hence the value of x is equal to 155 degree.
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Draw the graph of y=x^2+6x+9 for -5≤ x ≤0.
Answers
Answer:
Use a graphing calc or desmos.
Step-by-step explanation:
Please answer this question now in two minutes
Answers
Answer:
angle QPN and angle TSP is the corresponding angle.
Answer:
Step-by-step explanation:
We have 2 clusters of angles here: one with S in the middle and one with P in the middle. Corresponding angles means that within each cluster, 2 angles are sitting in the same position, one in each cluster. Angle QPN is corresponding to angle TSP because both of the angles are sitting below line UN, and each is sitting to the right of its transversal.
Click on the graphic to select the figure that would make the following a reflection in line k
Answers
I remember answering the same question, but you didn't attach any photos. But I remember that the answer is the first one.
I hope I helped. Stay safe and God bless!
- Eli <3
Answer:
The First One
Vote for Brainless
Work out 97 % of £ 970.92 Give your answer rounded to 2 DP.
Answers
Answer:
Not rounded:
97% of 970.92 = 941.7924
Rounded to maximum 2 decimals:
97% of 970.92 ≈ 941.79
Step-by-step explanation:
Please answer this question fast in two minutes
Answers
Answer:<cgb and <dge
Step-by-step explanation:supplementary angles add up to 180 and <cgb+<dge +<cgd=180 because they are angles on a straight line
which is the completely factored form of 12x^3-60x^2+4x-20
Answers
Answer:
4(x-5)(3x² +1)
Step-by-step:
Add and subtract the second term to the expression and factor by grouping.
Hope this helps!
Find an equivalent system of equations for the following system: 3x + 3y = 0 −4x + 4y = −8 PLZ HELP
Answers
Answer:
Answer:
3x + 3y = 0
7x - y = 8
Step-by-step explanation:
A car trip is 1/2h shorter that a bus trip. How long is the car trip if the bus trip is 3/4h?
Answers
Answer:
1/4h
Step-by-step explanation:
If the time for the car trip is x, then given that a car trip is 1/2h shorter than a bus trip, it means that adding 1/2h to the time for a car trip gives the time for the bus trip.
Hence, the time for the bus trip
= (1/2 + x)h
since the bus trip is 3/4h, it means that
1/2 + x = 3/4
collecting like terms,
x = 3/4 - 1/2
= 3/4 - 2/4
= 1/4
Hence the car trip is 1/4h.