What is the standard form polynomial representing the volume of this shipping container?
6x + 15
4x² + 3x
x² – 8
Answers
Answer:
Step-by-step explanation:
Volume of the shipping container = Lengt * Breadth * Height
Given
Length = 4x² + 3x
Breadth = x² – 8
Height = 6x +15
Volume of the container = ( 4x² + 3x)( x² - 8)(6x+15)
( 4x² + 3x)( x² - 8) = 4x⁴-32x²+3x³-24x
( 4x² + 3x)( x² - 8) = 4x⁴+3x³-32x²-24x
(4x⁴+3x³-32x²-24x)(6x+15) = 24x⁵+60x⁴+18x⁴+45x³-192x³-480x²-144x²-360x
Collect like terms
( 4x² + 3x)( x² - 8)(6x+15) = 24x⁵+78x⁴-147x³-624x²-360x
Hence the standard form polynomial representing the volume of this shipping container is expressed as V = 24x⁵+78x⁴-147x³-624x²-360x
Answer:
V = 24x^5+78x^4-147x^3-624x^2-360x
Related Questions
Mary Robertson sells tires at large car service. she earn 10% commesstion
Answers
The commission earned on the sale of a car can be reprsented by the equation C(p) = 250 + 0.02p, where c
represents the commission and P represents the purchase price of the car.
Jack sold two cars last weekend, one for $115,075 and the other for $21,640. Find his total commission.
Jack's commission=
Answers
Answer:
for first car
c = 250 + 0.02*$115,075 = 2551.5
for second car
c= 250 + 0.02*$21,640 = 682.8
total commission= 2551.5 +682.8 = 3234.3
i just need some help honestly
Answers
Since PQ = QR = RS,
Let's set PQ equal to RS
2x + 3 = x + 10
Subtract x and 3 from both sides.
x = 7
PQ = 2x + 3 = 2(7) + 3 = 14 + 3 = 17
Since PQ = QR = RS,
QR = 17
0.7+y=−1.34 please and thank you
Answers
Answer:
0.64
Step-by-step explanation:
1) Subtract 0.7 from 1.34 and you will get 0.64
Hope this helps!
f(x) = -2x, g(x)= -2x-1
Answers
Answer:
I graphed the two points on a graph in the attachment! Hope this helps! :)
Step-by-step explanation:
which expression is equivalent to 42+90?
Answers
Step-by-step explanation:
42+90 can be written in many ways.
Fore example, it can be written with double negatives, or even commutative property.
42-(-90) or 90+42
(21x2)+(45x2) or (6x7)+(3x30)
Sorry if it's wrong...
Which choice could you use to find the distance D between the points shown on the number line
Answers
Answer:
d = |145 − (−235)|
Step-by-step explanation:
plz help will give brainliest
Answers
Step-by-step explanation:
Hey there!!!!
Your required answer is option A.
The reason is.
When we solve it through elimination method we need to multiply second equation by "2" and then subtract to get "-4y" in 1st equation and "+4y" in 2nd equation cancelled.(As when we multiply equation 2 by 2 and subtract we get "-2y" as "+4y".)
So, it the equation seems like,
[tex]12 {x}^{2} + 4 {y}^{2} = 22[/tex]
Now, this equation is made after multiplying it by 2 and subtracting the 1st and 2nd equation to solve the equation s.
So, the answer is option A.
Hope it helps...
please help solve ASAP .
Answers
Answer:
Step-by-step explanation:
35.6
B
D
E
С
3
In the figure above, tan B
If BC = 15 and DA = 4, what is the length of DE
Answers
Answer:
Step-by-step explanation:
{y2+8y−128=0x=34⋅(y+4) ... The two right triangle are similar, so: BDAB=DEAC. From this, I obtain: ... AC=3x AB=4x (3x)²+(4x)²=225 x=3 BD=8 AB/AC=BD/DE 12/9=8/DE DE=6.
The length of segment DE in the given triangle is 6 units.
What are trigonometric ratios?Trigonometric Ratios are defined as the values of all the trigonometric functions based on the value of the ratio of sides in a right-angled triangle.
Given that, a right-angled triangle ABC, with a segment DE, where tan B = 3/4, BC = 15 and DA = 4
Since, tan B = 3/4
Cos B = 4/5
Cos B = AB / BC
therefore,
4/5 = AB / 15
AB = 12
BD = AB - AD = 12-4
BD = 8
Now, Tan B = 3/4
DE / BD = 3/4
DE / 8 = 3/4
DE = 6 units
Hence, the length of segment DE in the given triangle is 6 units.
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Everyday my cousin and I played a game of chess. To make it interesting, whoever lost the game owes a chocolate to the other. We played many games of chess over many days. After the last game we played, we counted the number of games each of us had won and lost. Since I won more than her, she handed me 29 chocolates, even though she did win 5 games. How many total games did we play?
Answers
Answer:
34, I think.
Step-by-step explanation:
if you have 29 chocolates, and she won 5, 29+5 equals 34
1) Which expression represents the area of the
frame in square inches?
Answers
12^2 - s^2 is area of the large square minus area of the smaller square. It's the only correct option.
An expression is defined as a set of numbers, variables, and mathematical operations. The expression represents the area of the frame in square inches is 12² - s².
What is an Expression?In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.
The area of the two squares can be written as,
Area of the larger square = 12²
Area of the smaller square = s²
Now, The area of the frame
= Area of the larger square - Area of the smaller square
= 12² - s²
Hence, the expression represents the area of the frame in square inches is 12² - s².
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−3 2/7−(−5/7) plz help me
Answers
Answer:
-2 or -14/7 (they're the same)
Step-by-step explanation:
Write it out: [tex]-3\frac{2}{7} - (-\frac{5}{7})[/tex] Simplify. It should now look like this: [tex]-3\frac{2}{7} + \frac{5}{7}[/tex] Turn -3 2/7 into an improper fraction. It should now look like this: -19/7Add: [tex]-\frac{19}{7} + \frac{5}{7} = -\frac{14}{7} = -2[/tex]I hope this helps!
Answer:
- 2 ⁴/₇Step-by-step explanation:
-3 ²/₇ - ( - ⁵/₇)
- 23 / 7 + 5 / 7
_ 23 + 5
7
_ 18
7
- 2 ⁴/₇
HEELLPPP!!!!!! PLZ!!! 3÷9+12-6+13
Answers
Answer:
19.33
Step-by-step explanation:
At 7 A.M the temperature was 4 .At 9A.M it was a degrees warmer. What was the temperature at 9 A.M
Answers
Answer:
5 I’m guessing
Step-by-step explanation:
If it’s a degrees warmer and to the right of a number line is warm in weather then it would be 5.
10. A movie theater sells 3 different sizes of popcorn: small, medium, and large. An order of popcorn comes with 4 different topping choices: butter, cheese, caramel, or salt. [4 points] How many unique ways can you order a bag of popcorn? (You can only select one topping.) Ans:_ What is the probability that a randomly selected popcorn is large with either butter or salt?
Answers
Answer: 12
Step-by-step explanation:
The answer is 12 because:
sizes are 3
toppings are 4
Using the Fundamental Counting Principal you multiple the selections
( 3 x 4=12)
So just learn the fundamental counting principal and it'll be easier. :)
The number of unique ways that you can order a bag of popcorn if you can only select one topping is 12 ways.
How do solve probability combinations?Combinations in probability refer to sequences of outcomes where the order does not matter.
Combinations are a way to calculate the total outcomes of an event where the order of the outcomes does not matter. To calculate combinations, we will use the formula nCr = n! / r! × (n - r)! where n represents the total number of items, and r represents the number of items being chosen at a time.
We are given the 3 different sizes of popcorn as;
Small
Medium
Large
Now, we are told that an order of popcorn comes with 4 different topping choices. Thus;
A number of unique ways that you can order a bag of popcorn are;
N = 3×4 = 12 unique ways
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Answers
Answer:
did you post anything on this I see nothing?
i need help plz : Look at the representations shown in the Math Notes box for this lesson (“Representations of Portions”). Write a fraction and a percent for the shaded portion of each one.
Answers
A sample of copper (Cu) contains 69.17% Cu-63. The remaining copper atoms are Cu-65. What is the average atomic mass of copper?
Answers
Help PLEEEASE QUICK
Answers
FREE BRAINLIEST! Are waffles really pancakes with abs?
Answers
are you ok
and yes
waffles are way hotter than pancakes sorry i dont make the rules here
How many cm in 92.4 inches?
Thank you!
Answers
Answer:
234.696 cm
Step-by-step explanation:
Answer: 234.696
Step-by-step explanation:
1 inch = 2.54 centimeters so
92.4 times 2.54 is 234.696
Woodley Stadium has nine gates with two ticket booths at each gate. If each ticket booth can process 600 fans per hour, what is the stadium's maximum ingress throughput?
Answers
Answer:
10,800
Step-by-step explanation:
9*2= 18
18*600=10,800
10,800 is the stadium's maximum ingress throughput.
What are mathematical operations?The term "operation" in mathematics refers to the process of computing a value utilizing operands and a math operator. For the specified operands or integers, the math operator's symbol has predetermined rules that must be followed. In mathematics, there are five basic operations: addition, subtraction, multiplication, division, and modular forms.
Given, Woodley Stadium has nine gates with two ticket booths at each gate.
So, the total number of booth's at Woodley stadium = 9*2
the total number of booth's at Woodley stadium = 18
Since each ticket booth can process 600 fans per hour
Thus,
the stadium's maximum ingress throughput = 18 *600
the stadium's maximum ingress throughput = 10,800
Therefore, 10,800 is the stadium's maximum ingress throughput.
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I need help ASAP please
Answers
Answer: x =168
Step-by-step explanation:I think it would be 80 plus 88 so its 168.
The two rectangles in the sketch below are congruent. Which sequence exhibits their congruence? A rotation 90° clockwise about the origin followed by a reflection across the x-axis A rotation 90° counterclockwise about the origin followed by a reflection across the y-axis A rotation 90° counterclockwise about the origin followed by a reflection across the x-axis A rotation 180° counterclockwise about the origin followed by a reflection across the y-axis
Answers
Answer:
A rotation 90° counterclockwise about the origin followed by a reflection across the x-axis
Step-by-step explanation:
it's rotated about the origin counterclockwise by 90 degrees and then reflected over the X axis in order to find the shape there.
Find the value of x.
Answers
Answer:
x=23
Step-by-step explanation:
1. f(x) = 9x^2 - 3
Find the vertex
Answers
Was the two supposed to be on the top
Robert and his younger sister are selling gift wrap to raise funds for the middle school band. Robert's sales are 2.5 times his sister's sales. Their total sales together can be represented by the equation x+2.5x= 63 . Which of these statements are true? Choose ALL that are correct. A. Robert's sales are represented by x when solving 3.5x= 63 . B. Robert's sister's sales total $18.00. C. Robert's sales total $25.20. D. Robert's sister's sales are represented by x when solving 3.5x= 63 . E. Robert's sales are represented by x when solving 2.6x= 63 .
Answers
Answer:
The answer is B. and D.
Step-by-step explanation:
if you solve the equation, you will find that X=18. Since his sister's sales are X, his sister sold 18. You multiply by 2.5 to find Robert's sales.
The correct statements are (B) and (D).
What is an equation?Two or more expressions with an equal sign are defined as an equation.
The given equation is x + 2.5x = 63.
Note that Robert's sales are 2.5 times his sister's sales, therefore, if his sister's sales is x then his sales are 2.5x
Hence, option (A) is incorrect, as Robert's sales are 2.5x.
Solve the equation as follows:
x + 2.5x = 63
3.5x = 63
x = 63/3.5
x = 18
Hence, option (B) is correct.
Since x=18, Robert's sales are:
2.5 × 18
= 45
Hence, option (C) is incorrect, as Robert's sales are $45, not $25.20.
Option (D) is already shown to be correct.
Option (E) is also incorrect, as option (D) is correct.
Hence, the correct statements are (B) and (D).
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I need help on numbers 1 & 2 please! it’s due at 11:59 tonight
Answers
Answer:
I'm not completely sure on number 2 and I don't want to give you a wrong answer but 1 is y=6.5x
I'm not completely sure on number 2 and I don't want to give you a wrong answer but 1 is y=6.5x
Find the sum of 4x^2
-4x + 10 and 2x^2+ 5x – 8.
Answers
Answer:
6x2+x+2
Step-by-step explanation:
Mark Brainliest?