A cardboard box in the shape of a rectangular prism has the dimensions shown. Write a polynomial in standard form to represent the volume of the box.
Answer:
[tex]Volume = x^3 +3x^2 -16x +12[/tex]
Step-by-step explanation:
Given [missing from the question].
The dimensions are:
Length =(x + 6), Width = (x - 2) and Height = (x -1)
Required
Represent the volume as a polynomial
Volume is calculated as:
[tex]Volume = Length * Width * Height[/tex]
So:
[tex]Volume = (x + 6) * (x - 2) * (x - 1)[/tex]
Expand
[tex]Volume = (x + 6) * (x^2 -2x -x +2)[/tex]
[tex]Volume = (x + 6) * (x^2 -3x +2)[/tex]
Expand
[tex]Volume = x^3 -3x^2 +2x +6x^2-18x +12[/tex]
Collect like terms
[tex]Volume = x^3 -3x^2+6x^2 +2x -18x +12[/tex]
[tex]Volume = x^3 +3x^2 -16x +12[/tex]
Solve 64x = 16x−1. x = −2 x = −1 x = negative 1 over 4 x = negative 1 over 3
Answer:
x = -1/48
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityAlgebra I
Terms/CoefficientsStep-by-step explanation:
Step 1: Define
64x = 16x - 1
Step 2: Solve for x
[Subtraction Property of Equality] Subtract 16x on both sides: 48x = -1[Division Property of Equality] Divide 48 on both sides: x = -1/48Answer:
I believe its actually x=-2
PLEASE I WILL DO ANYTHING JUST I NEED TO GET THIS LAST QUESTION DONE
ANSWER:
= 158 square inches
STEP BY STEP:
okay! so basically I like to ignore the net figure (just my personal opinion)
so we know that the rectangular prism has six sides (one top, one bottom, one front, one back, and two on each side)
so using that information, we can solve for the surface area!
FRONT AND BACK AREA:
- to solve for this area, we are going to take the 8" and multiply it by 5" to find the surface area of the front and the back panels
8*5 = 40 BUT WE HAVE TWO PANELS WITH THIS AREA
40*2 = 80
TOP AND BOTTOM AREA:
- to solve for this area, we are going to take 3" and multiply it by 8" to find the surface area of the top and bottom panels
3*8 = 24 BUT WE HAVE TWO PANELS WITH THIS AREA
24*2 = 48
SIDE AREA:
- to solve for this area, we are going to take 3" and multiply it by 5" to find the surface area of both the left and right sides
3*5 = 15 BUT WE HAVE TWO PANELS WITH THIS AREA
15*2 = 30
So now we have all of our areas and we will just add them together!
80+48+30
= 158 square inches
I hope this helped :)
Answer:
158
Step-by-step explanation:
its the right answer trust me I just can't be asked to explain it
Jillian is 5 years old. She has an older brother whose age is represented by the expression 2x+3, where x represents Jillian's age. How old is her brother?
Answer:
13
Step-by-step explanation:
2(5) = 10, +3 = 13 years old,, just use order of operations and plug in jillians age for the x
Answer:
7
Step-by-step explanation:
2x2 = 4+3=7 so her brother is 7
I have a 74 average in my math class, And I get a 100 on my quarter finals exam the exam is 30 percent of my grade what is my grade after I get a hundred on my quarter final exam
(23 points btw)
Answer:
u will have a 100 meaning a A+
Step-by-step explanation:
5a+12b+30c ; a=3, b=2, and c=1 evaluate the expression for the given value of the variable.
Answer:
69
Step-by-step explanation:
5a+12b+30c
5(3)+12(2)+30(1)
15+24+30
39+30
69
Hoped this helps!
solve for 26 - 4s = 9s.
26-4s=9s
⇔26=9s+4s
⇔26=13s
⇔s=2
Answer:
s = 2
Step-by-step explanation:
26 - 4s = 9s
add 4s to 4s and 9s
that equals 13
26/13 = 13s/13
s = 2
Determine if the following graph is a function
9514 1404 393
Answer:
yes, it is a function
Step-by-step explanation:
A graph represents a functional relationship if no vertical line intersects the graph in more than one point. A horizontal line passes this "vertical line test," so represents a function.
Answer:
Step-by-step explanation:
A triangle has two sides of lengths 7 and 13. What is the smallest possible whole number length for the third side.
5
Step-by-step explanation:
5 because if you need them between and they need to be smaller it would be 5
Answer:
The length must be less than 20, and greater than 6.
6 < L < 20
Find the Surface Area 17 cm 4 cm 10 cm
Deduce the minimum value of sinx+cosx and give the corresponding values of x, for x E [-360;360]
The minimum value of both sine and cosine is -1. However the angles that produce the minimum values are different, [tex]-\pi/2, \pi[/tex] for sine and cosine respectively.
The question is, can we find an angle for which the sum of sine and cosine of such angle is less than the sum of values at any other angle.
Here is a procedure, first take a derivative
[tex]\frac{d}{dx}(\sin x+\cos x)=\cos x -\sin x[/tex]
Then compute critical points of a derivative
[tex]\cos x-\sin x=0\implies x_1=\frac{\pi}{4},x_2=\frac{5\pi}{4}[/tex].
Then evaluate [tex]\sin x +\cos x[/tex] at [tex]x_1,x_2[/tex].
You will obtain global maxima and global minima [tex]\sqrt{2}, -\sqrt{2}[/tex] respectively.
The answer is [tex]-\sqrt{2}[/tex].
Hope this helps.
Need help ASAP
I dont know what to do please help
Answer:
the first option
Step-by-step explanation:
equilateral triangles are also equiangular which means each of the three angles is 60°
but you can have an acute triangle with angle measures that are all acute (for example, 59°, 85°, and 36°) that is not equilateral
Negative nine times a
number equals -117.
Pls help on both questions!tysm if u help me and I will pick brainliest if there's two answers
Answer:
Question 1: 70 mins
Question 2: R
Step-by-step explanation:
4) An arithmetic sequence has a 7th term of 54 and a 13th term of 94. Find the common difference
Please answer!!
Answer:
20/3
Step-by-step explanation:
Every nth term takes the form of a + n*d, where a is the first term.
So 7th term = (54 = a + 7d), 13th term = (94 = a + 13d).
equate them both:
94 - 13d = 54 - 7d
40 = 6d
d = 40/6
A piano teacher is interested in knowing how many of her students plan to take time off from lessons during the summer months. She surveys each student on Monday and determines that about 50% of her students plan to take time off.
She then repeats her study with her students on Tuesday, Wednesday, Thursday, and Friday. All surveys yield the same results. What generalization can the piano teacher make?
A.
The sample is biased; therefore, a generalization cannot be made regarding how many of her students plan to take time off this summer.
B.
About half of her students plan to take time off this summer.
C.
There is not enough information to generalize the survey results.
D.
Most of her students plan to take time off this summer.
Answer: B
About half of her students plan to take time off this summer.
Step-by-step explanation:
The generalization that can be made by the piano teacher is about half of her students plan to take time off this summer.
What is the generalization that can be made?A survey is when a particular group of people are asked about their preferences or opinion on a particular subject matter. The piano teacher asked students from the classes on Monday through to Saturday if they would take time off.
The result was that 50% of the students would take time off. Thus, it can be generalized that about half of her students plan to take time off this summer.
To learn more about probability, please check: brainly.com/question/11234923
#SPJ2
ONLY answer if you know! Which of the following will have a negative result? (1 point)
O-8-(-10)
O 12-14
07-(-3)
40% de_____=60
Es urgente por favor con explicación
Answer:
Hola 15 es tu respuesta
Step-by-step explanation:
por 40% puedes convertirlo en 4, multiplicar por 15 y obtendrás 60
espero que esto ayude
simplify (0.01)^(-0.5)
Answer:10
Step-by-step explanation:
In fraction,
(1/100)^(-1/2)
Equivalent to 1/((1/100)^(1/2))
Power 1/2 is basically square root
So we have 1/(1/10) after applying square root to 1/100
so final step
1 divide (1/10) = 10
A child gets 1 egg on their
1st birthday. They get 2 on
their 2nd, 3 on their 3rd etc.
How many years will it be
before they have received 91
eggs in total?
Answer:91 years
Step-by-step explanation:
x+y=-1 and x=y+19 solve for x
Answer:
X=9
Step-by-step explanation:
Mrs Tyler rolls a die each day to see how many points the homework will be worth that day. What is the probability that she rolls a 6 on Monday and a number less than 3 on Tuesday
Answer:
2/12
Step-by-step explanation:
PLS ANSWER 10 POINTS!!
Answer:
the answer is 58°
Step-by-step explanation:
90 - 32 = 58
HELP ASAP WILL MARK BRAINLIEST IF RIGHT!
Answer: -15
Step-by-step explanation:
f(-8) is the value of y / f(x) when x = -8 in the function f(x)
f(-8) = -5
g(4) is the value of y / f(x) when x = 4 in the function g(x)
g(4) = 5
-1 * f(-8) - 4 * g(4)
Substitute -5 for f(-8) and 5 for g(4)
-1 * -5 - 4 * 5 (evaluate, note: remember order of operations)
5 - 4 * 5
5 - 20
-15
The owner of a bookstore recorded the following information from last
week:
12
18
24
30
36
42
Number of
Customers,
С
Amount of
Sales,
S
$80
$110
$140
$170
$200
$230
According to this information, which equation describes the relationship
between the number of customers and the amount of sales?
A. S = 50 + 20
C. s = 6c + 20
B. s = c + 30
D. s = 6c + 8
Answer:
s=5c+20
Step-by-step explanation:
hope this helps
Please help, I don't know what this is, thank you
Describe these points with a double inequality
These points can be described the following double inequality: -3≤x≤13.
InequalitiesInequality is a mathematical expression that does not present equality between both sides. It is represented by symbols: <, ≤, > and ≥.
When the variable x is between the both extremes, the inequality will be called double inequality. Therefore, the double inequality can be written in the form below .
a<x<b is equivalent to x>a and x<ba>x>b is equivalent to x<a and x>ba≤x≤b is equivalent to x≥a and x≤ba≥x≥b is equivalent to x≤a and x≥bAs the interval is represented by a closed dot, your interval inequality must be represented by signs ≤ or ≥.
Thus, the points of this question can be described as: -3≤x≤13.
Read more about the double inequality here:
https://brainly.com/question/13707794
(05.01 MC)
What is the equation in point-slope form of the line passing through (-2, 0) and (2,8)?
PLEASE HELP QUICK!!
Answer:
2/3+2/3=4/3 or 1 1/3
Step-by-step explanation:
I figured it out!!
it should be greater than. the reasoning for this is if you equally split a rectangle into 3 pieces and then also split the same sized rectangle into equal pieces then which pieces would be bigger? the Rectanhle that is split into 3! this is because you have less pieces to split the rectangle into so the less you have too split the rectangle to larger the pieces are!!
Answer:
2/3+2/3 is greater than 1 1/4, so Edward does not have enough oil
Step-by-step explanation:
2/3+2/3=4/3, or 1 1/3
So now it's is 1 1/3 greater than or less than 1 1/4, which is just a matter of if 1/3 is greater than 1/4. 1/3 is 0.33 repeating, and 1/4 is 0.25, so 1/3 is greater than 1/4
1 1/4 is the amount of oil he has, and 1 1/3 is the amount required, which is more than he has so therefore he can't make 2 batches
Hi. My math teacher gave us a huge assignment but didn't explain anything to us... Please help me :)
Answer: y-int is 0, 250, slope is -1/3
Step-by-step explanation:
I need help so bad somebody please help me with math ;-;:
what is the answer?
X 2 4 8 10 16
Y 1 2 4 5 8
1.y = 2 x
2.y = 1 x
3.y = x - 1
4.y = x ÷ 2
Answer:
y=x/2 (x divided by 2)
Step-by-step explanation:
2/1=1,4/2=2,8/2=4,10/2=5,16/2=8