cubed root of 4896 = 16.98
round to 17
17-1 = 16
17 +1 = 18
16* 17 *18 = 4896
bin is 16 in x 17 in x 18 in
Answer:
The dimension of the rectangle is [tex]16\times 17\times 18[/tex]
Step-by-step explanation:
Given : The dimensions of a rectangular bin are consecutive integers. If the volume of the bin is 4896 cubic inches.
To find : What are the dimensions of the bin?
Solution :
The dimensions of a rectangular bin are consecutive integers.
Let the consecutive integers are x,x+1,x+2
So let, length, l=x
Breadth b=x+1
Height h=x+2
The volume of the bin is
[tex]V=l\times b\times h[/tex]
[tex]4896=x\times (x+1)\times (x+2)[/tex]
[tex]4896=(x^2+x)(x+2)[/tex]
[tex]4896=x^3+2x^2+x^2+2x[/tex]
[tex]x^3+3x^2+2x-4896=0[/tex]
Plot the equation graphically to find the value of x.
Refer the attached figure below.
The value of x is 16.
So, Length is l=16
Breadth is b=x+1=16+1=17
Height is h=x+2=16+2=18
The dimension of the rectangle is [tex]16\times 17\times 18[/tex]
what is the measure of <DCF
Answer:
The measure of angle DCF is 129 degrees.
Step-by-step explanation:
Angle DCF is the sum of angle DCE plus angle ECF.
This is because, DCF is the main angle and DCE and ECF are its two parts.
Hence, the measure of angle DCF will be = [tex]75+54=129[/tex] degrees.
The answer is :
The measure of angle DCF is 129 degrees.
What is the measure of angle WZX?
Select all of the following that are statements. The sun comes up in the east. He is six years old. The moon is made of green cheese. Do well in math. 3x + 4 = 17 Open the door. 7 x 6 = 42
What is an angle that is congruent to bgd?
Find the sum of 2x 2 + 3x - 4, 8 - 3x, and -5x 2 + 2
Answer:
The answer is -3x^2+6
what is cos of negative pi/3?
what is sin of negative pi/3?
5/16t=-9
Plz help me ASAP and show all of the steps that you did! PLEASE HELP!!! :) 10 POINTS!!!!!
A moving company charges a $2,000 fee plus $100 per hour. Another moving company charges an $1,800 fee plus $150 per hour. How long is a job for which the two companies' costs are the same?
The costs of two moving companies are the same for a job that lasts 4 hours.
To find out how long a job must last for the two companies' costs to be the same, we need to set up an equation where both company costs are equal and solve for the time variable, which I will denote as 't' hours.
The first moving company's cost can be represented as:$2,000 + $100 x t.
The second moving company's cost can be represented as: $1,800 + $150 x t.
To find the time when both costs are the same, we set the two expressions equal to each other:
$2,000 + $100t = $1,800 + $150t
Now, we need to solve for 't' by subtracting $100t from both sides and subtracting $1,800 from both sides:
$200 = $50t
Divide both sides by $50 to isolate 't':
t = 4 hours
So, the two companies would have the same cost for a 4-hour job.
Find a cubic function with the given zeros. Square root of two., - Square root of two., -2 A. f(x) = x^3 + 2x^2 - 2x + 4 B. f(x) = x^3 + 2x^2 + 2x - 4 C. f(x) = x^3 - 2x^2 - 2x - 4 D. f(x) = x^3 + 2x^2 - 2x - 4
Write the equation of the line that is perpendicular to 5x+8y=16 and passes through (-5,7).
what is the algebraic expression for the following word phrase: the quotient of 6 and the sum of 5 and y? A: 6/5-y B: 6/5+y C:6(5+y) D: 6/5 + 6y
The algebraic expression for the word phrase is;
⇒ 6/5+y
Option B is true.
Here,
The word phrase is;
''The quotient of 6 and the sum of 5 and y''.
We have to find the algebraic expression.
What is Mathematical expression?
The combination of numbers and variables by using operations addition, subtraction, multiplication and division is called Mathematical expression.
Now,
The word phrase is;
''The quotient of 6 and the sum of 5 and y''.
Quotient means fraction and sum of 5 and y is 5 + y.
Hence, The algebraic expression is;
⇒ 6 / 5+y
Therefore, The algebraic expression for the word phrase is;
⇒ 6/5+y
Option B is true.
Learn more about the mathematical expression visit:
https://brainly.com/question/1852123
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What is the perimeter of a square with an area of 144 square inches?
Community gym charges a $50 membership fee and a $55 monthly fee. Workout gym charges a $200 membership fee and a $45 monthly fee. After how many months will the total amount of money paid to both gyms be the same? What will the amount be?
what is another name for BD
Answer:
BD = DB
Step-by-step explanation:
Great question, it is always good to ask questions to get rid of any doubts that you may be having,
Assuming I am understanding the question correctly and assuming that we are talking about line segment. Line segments can be spelled or represented in any direction backwards or forwards. In this case we are talking about a line segment called BD therefore it can also be referred to as DB.
I hope this answered your question. If you have any more questions feel free to ask away at Brainly.
To pay for Sophia Maddie Paid a payment of $64 each month for one year how much did the sofa cost
What is the maximum value for a 64-bit number?
Factor this polynomial using the GCF: 3xy^2 + 3xy^2 - 3xy
3xy(y + x - 1)
-3xy(y + x + 1)
3x(y2 + x - 1)
3x^2(y2 + 1 - 1)
Add. Write your answer in simplest form. 3/5 + 5/8
If a system of linear equations has the unique solution (2, −3), then its graph consists of what?
parallel lines
lines that intersect at a single point
identical lines
a y-intercept at −3
Answer: B - lines that intersect at a single point
Answer:
Answer: B - lines that intersect at a single point
Step-by-step explanation:
glad i helped
What is the expression in radical form? Enter your answer, in simplest form, in the box.
The expression in radical form is expressed as [tex](\sqrt[7]{7x^3y^2}) ^2[/tex]
Expressing the given expression in radical form means we need to introduce root into the expression:
According to the law of indices;
[tex](a^m)^n=a^{mn}\\a^\frac{m}{n}=\sqrt[n]{m}[/tex]
Given the indicinal expression:
[tex]=(7x^3y^2)^\frac{2}{7}\\ =(\sqrt[7]{7x^3y^2}) ^2[/tex]
Hence the expression in radical form is expressed as [tex](\sqrt[7]{7x^3y^2}) ^2[/tex]
Learn more here: https://brainly.com/question/6755932
what would 3/4 - 3/4 be?
2.8y + 6 + 0.2y = 5y -15
.help me please thanks
Which statement is true about the line passing through points A and B?
A. The line has a finite length that can be measured.
B. There is only one way to name the line.
C. The line has infinitely many points.
D. There are only two points on the entire line.
Is the product of two integers positive negative or zero how can you tell?
Find the opposite and reciprocal of -1.8.
If a function f(x) is the temperature in degrees as a function of time in minutes. then the function f'(x) is
In the context of a function representing temperature over time, the derivative f'(x) indicates the rate of change of the temperature with respect to time.
If a function f(x) represents the temperature in degrees as a function of time in minutes, the function f'(x) represents the rate of change of temperature with respect to time. This implies that if you have the temperature reading from a thermometer at different times, f'(x) tells you how quickly the temperature is rising or falling at any given moment. The concept of the derivative as the rate of change applies to many types of functions beyond just temperature over time.
Can someone help me with 16 and 20? If you’re supposed to write a contrapositive and inverse, but the word not is already in the statement, what do you do?
What is the solution to the following system of linear equations?
{4x - y = -6
{x - 2y = -5
Please explain how you solved!
Final answer:
The solution to the system of linear equations is x = -1, y = 2
Explanation:
To solve the system of linear equations:
4x - y = -6
x - 2y = -5
We can use the method of substitution or elimination to find the solution.
Let's use the elimination method. We can multiply the second equation by 4 to make the coefficients of x in both equations the same.
4(x - 2y) = 4(-5)
4x - 8y = -20
Now, we can subtract the second equation from the first equation to eliminate x.
(4x - y) - (4x - 8y) = (-6) - (-20)
-y + 8y = 14
7y = 14
y = 2
Substituting y = 2 back into the first equation:
4x - 2 = -6
4x = -4
x = -1
The solution to the system of linear equations is x = -1, y = 2
The number of hours per week that the television is turned on is determined for each family in a sample. the mean of the data is 3030 hours and the median is 26.226.2 hours. twenty-four of the families in the sample turned on the television for 1515 hours or less for the week. the 11th11th percentile of the data is 1515 hours. step 2 of 5 : approximately how many families are in the sample? round your answer to the nearest integer.