The maximum volume is at x = 0.85 cm. The inequality is 6x³ + 110x² - 200x ≤ 15000
What is an inequality?
An inequality is an expression that shows the non equal comparison between two or more numbers and variables.
A shipping company will ship a package for $7.50 when the volume is no more than 15,000 cubic centimeters. Hence, if Grace plan as to spend a maximum of $7.50:
Volume (V) = (3x - 5)(2x)(x + 20) = 6x³ + 110x² - 200x
The inequality is:
6x³ + 110x² - 200x ≤ 15000
6x³ + 110x² - 200x - 15000 ≤ 0
x = 10
The maximum volume is at:
V' = 0
V' = 18x² + 220x - 200 = 0
x = 0.85 cm
The maximum volume is at x = 0.85 cm. The inequality is 6x³ + 110x² - 200x ≤ 15000
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A private club grew by 7 members each week for 63 weeks. What was the total change in the club's size? members
Answer:
The answer is 441
Step-by-step explanation:
7 x 63 = 441
Give me a real life example of when you would use area. * (your own wording please!!!!)
Answer:
Area is very commonly used in our world we just may not immediately recognize it. Most if not all construction workers use area to figure out how much Sq feet they have to work with. When decorating your home you need to know how much space is in each room. When installing carpet or hardwood you'll need to figure out the area of your room.
Hopefully this helps!
The expression below is the factorization of what trinomial?
(5x + 6)(3x - 2)
A. 15x^2 + 4x + 12
B. 15x^2 + 4x - 12
C. 15x^2 + 8x + 12
D. 15x^2 + 8x - 12
Answer:
Choice D is the correct answer
Step-by-step explanation:
Use the foil method and expand
based on sample 2, how many students from the entire student population would prefer not to start at 7:45 am
Answer:
270
Step-by-step explanation:
from web
Express 100,000 as a power of 10
Answer:
10^5
Step-by-step explanation:
10 multiplied by itself five times (10*10*10*10*10) is 100,000.
sin^2(theta)(1+cot^2(theta))-1=0
What is the value of x in the equation 1/3x-2/3=-18
?
O -56
O -52
O 52
O 56
Answer:
x = -52
Step-by-step explanation:
Multiply both sides of the original equasion by 3 to get:
x - 2 = -54
Slide over the - 2 across the equal sign to get a +
x = -54 + 2
-54+2 = -52
Soo
x = -52
¿ Cuanto es 3 por 5 centésimas ?
Answer:
0.15 or 3.05
Step-by-step explanation:
3*(5/100) = 15/100 = 3/20 = 0.15
or
3 5/100 = 305/100 = 61/20 = 3.05
dependiendo de lo que esté tratando de encontrar
lo siento si mi español es malo
espero que esto ayude
solve the system by substitution
Jenna's pool is 22 feet long, 12 feet across and 6 feet deep.How many square feet of plaster will it take to cover it? (Be careful:Think about which parts will or won't be covered in plaster)
Answer:
264sq feet
Step-by-step explanation:
because you only need to cover the top you multiply 22 x 12 to get 264 sq feet
Use the Pythagorean Theorem to find the missing length and then round the
result to the nearest tenth.
Answer:2 squared +3 squared and the square root of that number
Step-by-step explanation:
Which of the following is a perfect square trinomial?
A. 4x^2 + 20xy - 25y^2
B. 4x^2 - 14xy + 25y^2
C. 4x^2 + 14xy - 25y^2
D. 4x^2 - 20xy + 25y^2
Answer:
[tex]D.~4x^2-20xy+25y^2[/tex]
Step-by-step explanation:
[tex]4x^2-20xy+25y^2\\\\=(2x)^2-2\cdot 2x \cdot 5y+(5y)^2\\\\=(2x-5y)^2[/tex]
.325 equals what fraction
Answer:
according to desmos scientific calculator, the answer is 13/40
PLSS ANSWER
Round each fraction to help you estimate the solution for the equation.
three sixths plus three sixths
A. 0
B. one half
C. 1
D. one and one half
[tex] \frac{3}{6} = three \: sixths[/tex]
[tex] \frac{3}{6} + \frac{3}{6} = \frac{3 + 3}{6} = \frac{6}{6} = 1[/tex]
Letter CI REALLY NEED HELP MY GRADES GO IN TONIGHT AND I CANT SOLVE THIS I NEED A REAL ANSWER I WILL CHECK BEFORE GIVING POINTS!!!!!!!!!!!!!!!!!
Answer:
K. 8
N. 12
A. 29
H. 5
I. -297
G. 89
T. 50
S. -7
W. 165
WHAT'S SHAKING
Answer:
K: 8
N: 12
A: 29
H: 5
I: -297
G: 89
T: 50
S: -7
W: 165
WHATS SHAKING [Answer]
Step-by-step explanation:
Please rate!!
25 am
15 cm
15 om
E9 cm
-
9 cm
What is the area of the trapezold?
O
354 cm
o
408 cm2
0 510 cm2
0 O
595
cm2
The answer is 408 cm2 after applying the formula of right angled triangle,adding 25 and both 9 and applying the formula 1/2(p1+p2)h
Please give me brainliest
PLEASE EXPLAIN’
Which set of numbers correctly
shows a number, its opposite, and
its absolute value, in that order?
A 98.4
-98.4 98.4
B -74.3 -74.3
-74.3 74.3
C 46.2 46.2 -46.2
D 28.9 -28.9 -28.9
Answer:
A
Step-by-step explanation:
because -98.4 is the opposite of 98.4 and 98.4 is it's absolute value
For context, question 6 is:
What inverse operation will be used to undo the volume of Julie's jewelry box to find its edge lengths?
Volume formula for a cube is: volume = edge^3
//I have already answered This, I need help with #7, which is:
"If V = 216, what is the edge length of Julie's jewelry box?"
Answer:
6
Step-by-step explanation:
The inverse of cubed is cubed root. The cubed root of 216 is 6.
3+8+(87÷4)=(12345676×3825829){=dheg
Answer:
Read the explanation
Step-by-step explanation:
look at the photo
how many times should you expect to see heads if a fair coin is tossed 3500 times?
Answer:
1750
Step-by-step explanation:
If you flip a coin, you should theoretically get heads 50% of the time and tails 50% of the time. So in this case you would get heads 1,750 times.
what is the relationship between the sine and cosine of the complementary angles in this diagram? drag and drop the answers into the boxes to correctly complete the statements.
Both sin(41) and cos(x) can be represented by the ratio ____. the angles measuring 41 and x are complementary angles. this means x+41=____. therefore x=____. since sin(41) = cos(x), this also shows that sin(41)=cos(_____).
Answer:
Step-by-step explanation:
Both sin(41) and cos(x) can be represented by the ratio b/c
What is complementary angles?If the sum of two angles is equal to 90 degrees, then such angles are called complementary angles. The total of the two angles' measurements determines their complement and supplement. The pair of angles is said to be complimentary if the product of the two angles equals the measurement of a right angle. Example:
40° is the complement of 50°.
50° is the complement of 40°.
sin (41) = b/c
cos (x) = b/c
∴both sin(41) and cos(x) can be represented by the ratio b/c
x + 41 = 90 (∵ complementary angles)
x = 90-41 = 49
∵ sin 41 = cos x
∴ sin 41 = cos (90-41)
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PLEASE HELP! 50 POINTS! Consider the following set of sample data: (34, 32, 34, 32, 40, 37, 31, 31, 29, 27). Which of the following will give a 95% t confidence interval for the mean of the population from which the sample was drawn?
Answer:
(15.23,41.016)
Step-by-step explanation:
WE must determine the mean of the data set: Which is the sum of the set divided by the number in the set.
[tex]= (21 + 24 + 25 + 32 + 35 + 31 + 29 + 28)/8 = 225/8 = 28.125[/tex]
We must also determine the standard deviation: Which is the square root of the variance and the variance is the sum of squares of the sample number minus the mean divided by the number if the set data:
[tex]= ((21 - 28.125)^{2} + (24 - 28.125)^{2} +(25 - 28.125)^{2} + (32 - 28.125)^{2} + (35 - 28.125)^{2} + (31 - 28.125)^{2} + (29 - 28.125)^{2} (28 - 28.125)^{2}[/tex]
[tex]= 148.877/8 = 18.6[/tex]
The 95% confidence interval is defined as: The mean ± 1.96*standard deviation divided by the sqaure root of the number of data in the set:
[tex]= 28.125 + (1.96 *18.6)/(\sqrt{8} )[/tex]
[tex]= 41.016[/tex]
[tex]= 28.125 - (1.96 * 18.6)/(\sqrt{8}) = 15.23[/tex]
The confidence interval for this data set is (15.23,41.016)
Answer:
32.7 ± 2.262(1.19)
Step-by-step explanation:
See attached pictures
The circumference of a circle is 18.84 yards. What is the circle's diameter?
Find the value of cos
V
V rounded to the nearest hundredth, if necessary.
Answer:
image
Step-by-step explanation:
image
What is the range of this data set? 64°, 72°, 74°, 68°, 70°, 68°, 68°, 75°, and 44°
Answer:
31
Step-by-step explanation:
First put your numbers in order
44 , 64 , 68 , 68 , 68 , 70 , 72 , 74 ,
Then subtract the Highest and Lowest numbers by each other
75 - 44 = 31
An 18 ft. tree casts a 15 ft. long shadow as shown in the following figure.
Which of the following is the angle formed by the sun's rays and the ground?
A.30
B.40
C.50
D.60
Answer:
The answer should be C=50
Step-by-step explanation:
Hooray! Poplin Elementary collected 1,224 Box Tops! The 8 volunteer moms will have to tape them to the turn-in sheet. If they share the work equally, how many will each mom need to do?
The length is :____meters and the width is____meters.
Answer:
Length = 42, Width = 14
Step-by-step explanation:
Say width = x
3x + x = 56
4x = 56
x = 14
14 x 3 = 42.
Answer:
width = 7
length = 21
Step-by-step explanation:
x + 3x = 56/2
4x = 28
x = 7
Answer the question 3523+4353
Answer:
7,876
Step-by-step explanation:
brainliest please
express in the form 1 : n give n as a simplifeid fraction 8 : 6
Answer:
So, Simplified fraction of 8:6 is 4:3.