A rectangular box is x feet long and x feet wide. The volume of the box is
(4x^8 + 3x^6) cubic feet. What polynomial represents the height of the box in feet?
A. 4x + 3
B. 4x^6 + 3x^4
C. 4x^8 + 3x^6
D. 4x^7 + 3x^5
Please Help!!
4:00 is 120 degrees on the hour hand
(4/12)*360
35/60 * 360 = 210
210 - 120 = 90
of course the hour hand has moved about 35/60 * 360/12 = 17.5 degrees
so 90 - 17.5 = 72.5
agree
Thanks! I just want to double check to make sure I got this question right...
Ques)What is the measure of the angle formed by the minute hand and the hour hand of a clock when the clock shows 4:35?
A. 72.5°
B. 90°
C. 120°
D. 72°
Ans) 72.5 degrees
Am I right?
clock question:
yes
Awesome!Thanks! I'd lie some clarification for another question...(sorry for the bother)
Ques)The ticket office at Orchestra Center estimates that if it charges x dollars for box seats for a concert, it will sell 50 - x box seats. The function S = 50x - x2 gives the estimated income from the sale of box seats. Graph the function, and use the graph to find the price for box seats that will give the greatest income.
Ans)it will sell 50 – x box seats. The function S = 50x – x2 gives the estimated income from the sale of the box seats...
And,the maximum income S(x) is:
dS/dx = 50 - 2x = 0; x = 25
S(25) = 25 * 25 = 625
The maximum income is $625. The ticket price for that is $25.
Am I right?
To determine the polynomial that represents the height of the box, we need to divide the volume by the area of the base.
The formula for the volume of a rectangular box is V = lwh, where l is the length, w is the width, and h is the height. In this case, the volume is given as (4x^8 + 3x^6) cubic feet.
The area of the base of a rectangular box is given by A = lw. Since the length and width are both x, the area of the base is x * x = x^2.
To find the height, we can divide the volume by the area of the base:
height = volume / base area
height = (4x^8 + 3x^6) / x^2
Now, we can simplify the expression by dividing each term in the numerator by x^2:
height = (4x^8 / x^2) + (3x^6 / x^2)
height = 4x^6 + 3x^4
Therefore, the polynomial that represents the height of the box is 4x^6 + 3x^4.
Therefore, the correct answer is option B. 4x^6 + 3x^4.
bottom is square x by x
h x^2 = 4 x^8 + 3 x^6
so
h = 4 x^6 + 3 x^4