Answer:
[tex]512\ \text{in}^2[/tex]
Step-by-step explanation:
x = Length and width of base
y = Height of box
Volume of the box is [tex]16384\ \text{in}^3[/tex]
[tex]x^2y=16384\\\Rightarrow y=\dfrac{16384}{x^2}[/tex]
Surface area is given by
[tex]s=x^2+4y\\\Rightarrow s=x^2+4\times \dfrac{16384}{x^2}\\\Rightarrow s=x^2+\dfrac{65536}{x^2}[/tex]
Differentiating with respect to x we get
[tex]s'=2x-\dfrac{131072}{x^3}[/tex]
Equating with 0 we get
[tex]0=2x^4-131072\\\Rightarrow x=(\dfrac{131072}{2})^{\dfrac{1}{4}}\\\Rightarrow x=16[/tex]
[tex]s''=2+\dfrac{393216}{x^4}[/tex]
at [tex]x=16[/tex]
[tex]s''=2+\dfrac{393216}{16^4}=8>0[/tex]
So the function is minimum at x = 16
[tex]y=\dfrac{16384}{x^2}=\dfrac{16384}{16^2}\\\Rightarrow y=64[/tex]
The material required is
[tex]s=x^2+4y=16^2+4\times 64\\\Rightarrow s=512\ \text{in}^2[/tex]
The minimum amount of material required is [tex]512\ \text{in}^2[/tex].
which is a correct step when using the median fit method for modeling data?
Use the median value of intercepts found
Calculate slope using the right and middle points
Determine three y intercepts by using each summary point along with the slope.
Determine the median of the x values and the median of the y values.
When using the median fit method to model data, you should Determine three y intercepts by using each summary point along with the slope.
What is the median fit method?This is a model for coming up with trend lines to represent the data given by a data set by dividing the given data into sections where the data points are equal in number.
As there will be three sections, it is important that three y intercepts are determined using summary points and the slope.
Find out more on the median fit method at https://brainly.com/question/23298464.
#SPJ2
Answer: C
Step-by-step explanation:
The equation has a solution of x = 5.
What is the value of k?
k =
Answer:
K= -11
Step-by-step explanation:
Mr Goodwin finished grading his students homework at 4:12 PM if he spent an hour and 33 minutes doing this what time did he start
Answer:
2:21 pm
Step-by-step explanation:
Finished 4:12
He spent 1 hour and 33
4:12 - 1 hour 33
minus the hour
3:12
minus 33
12-33
2:21pm
You want to install a 3 yd wide walk around a circular swimming pool. The diameter of the pool is 16 yd. What is
the area of the walk? Use 3.14 for it.
The area of the walk is approximately
choose the equation that describes the relationship in the following table. please answer ASAP ty
Answer:
C) y = -5x + 32
Step-by-step explanation:
Only choice where the all the x values equal the y values
a bowl contains 5 red chips, 7 blue chips, 6 yellow chips, and 10 green chips. One chip is randomly drawn. Write the answer as a fraction in simplest form. Find the probability of choosing a red OR yellow chip.
Answer:
The probability is 11/28 or 39%
Step-by-step explanation:
You add 5+6=11 and their are 28 total chips.
Solve the equation:
f÷8=20
Answer:
f=160
Step-by-step explanation:
all you really need to do is multiply 20 and 8 and you end up with 160
Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used. Match each division expression with the correct quotient. (These are the answers)
18x^(2)+39x+15 over 3x+5 -----> 6x+3
35x^(2)-5x-30 over 5x-5 -------> 7x+6
15x^(2)-44x+21 over 5x-3 ------> 3x-7
Answer:
18x^(2)+39x+15 over 3x+5 -----> 6x+3
35x^(2)-5x-30 over 5x-5 -------> 7x+6
15x^(2)-44x+21 over 5x-3 ------> 3x-7
Step-by-step explanation:
Plato Gang
Will give brainliest
Find the area of the following
triangle:
5 cm
10 cm
A= [?] cm2
Enter the exact answer as a decimal.
Answer:
25
Step-by-step explanation:
a=1/2bh
a=1/2(5)(10)
a=1/2(50)
a=25
A quality control inspector has drawn a sample of 11 light bulbs from a recent production lot. Suppose 20% of the bulbs in the lot are defective. What is the probability that less than 7, but more than 4 bulbs from the sample are defective
Answer:
0.04845
Step-by-step explanation:
Probability that less than 7 but more than 4 bulbs from the sample are defective :
P(4 < X < 7) = P(x = 5) + P(x = 6)
Using the binomial probability formula :
P(x =x) = nCx * p^x * (1 - p)^(n - x)
From the question :
p = 0.2 ; 1 - p = 0.8 ; n = 11
P(x =5) = 11C5 * 0.2^5 * 0.8^6 = 0.03876
P(x = 6) = 11C6 * 0.2^6 * 0.8^5 = 0.00969
P(4 < X < 7) = P(x = 5) + P(x = 6)
P(4 < X < 7) = 0.03876 + 0.00969
P(4 < X < 7) = 0.04845
Lydia would like to have cake and pizza at her party the cake will cost $23, each pizza cost $15.00 the total budget for the food at her party is $75 what are the number of pizzas she can get and what is the equation and define your variable
Answer:
20
Step-by-step explanation:
fw3f2f3sf a
Help quick!!!!!!!!!!!!!!!!!!!
Step-by-step explanation:
Area of this pi r²/2
3.142*324/2=3.142*162=509,004
Answer:
56.556
Step-by-step explanation:
In order to find the areaof a cirlcle the equation is pi(r^2)
radius is half of a diameter so i did 18 divided by 2 =6
3.142(6^2)=113.112
but since its only half a cirle i divided my answer by 2 in order to get 56.556
Patrick has an art supplies box with colored pencils and markers. The ratio of colored pencils to markers is 7:4. If Patrick has 63 colored pencils in the box, how many markers does he have.
Find the explicit form of the arithmetic function of p if the first term is 12 and the common difference is 2. Then find the seventh term.
Answer:
1st
Step-by-step explanation:
whoever answers it correct first gets brainlest
Answer:
f(x)=x+1 ok
please mark me as brainlest
PLEASE ANSWER ASAP! NO SCAM LINKS OR REPORTED!
Answer:
Answer is D!
Step-by-step explanation:
y=-3x-2
Substitute x and y values and check
-3(-2) = 6 - 2 = 4
Hikers spent the following amounts of time (in minutes) to complete a
nature hike: 48, 46, 52, 57, 58, 52, 61, 56.
Suppose another hiker takes 92 minutes to complete the hike.
How does the median and mean change when the new hiker is
factored in to the data?
Answer:
the mean is 53.75 and median is 54
Step-by-step explanation:
Andrew randomly selects a number from 1-15. What is the probability that the number he selects is an even number?
Answer:
7/15
Step-by-step explanation:
Probability= Number of even numbers / Total numbers
There are 7 even numbers between 1 and 15
P = 7/15
A cruise ship travels at a constant speed. In 3 hours, the ship travels 72 nautical miles. If the ship continues to travel at the same rate, how far would it travel in 11 hours. (No links) (if it’s wrong I will report and delete) (explain)
Answer:
264
Step-by-step explanation:
72 divided by 3= 24
24x11=264
PLEASE HELP ILL MAKE BRAINLIEST ASAP
The amount of money in a bank account increased by 18.5% over the last year. If the amount of money at the beginning of the year is represented by n, which expression represents the amount of money in the bank account after the increase? Select all that apply.
A
n + 0.185n
B
n + 18.5n
C
1.185n
D
0.185n
E
18.5n
F
19.5n
Answer:
A
Step-by-step explanation:
Help please question in the picture
Answer:
lol no picture attach it please
Step-by-step explanation:
11. If you randomly selected 500 U.S. homes, about
how many would be heated with fuel oil?
Answer:
50
Step-by-step explanation:
Given
Total number of US houses = 500
If 10% were affected by fuel oil
Total number affected by fuel oil = 10% of 500
Total number affected by fuel oil = 0.1 * 500
Total number affected by fuel oil = 50
Hence 50 houses were affected by fuel oil
(-6, -7) and (3,-4)
Pleaseee helppppppp
Answer:
y = x/3 - 5
Step-by-step explanation:
Answer:
y = (1/3)x - 5 .
Step-by-step explanation:
(-6 , -7) ; (3 ,-4)
Slope = [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\[/tex]
[tex]=\frac{-4-[-7]}{3-[-6]}\\\\= \frac{-4 + 7}{3+6}\\\\= \frac{3}{9}\\\\=\frac{1}{3}[/tex]
m = 1/3 ; (3,-4)
y - y1 = m(x - x1)
[tex]y - [-4]=\frac{1}{3}(x-3)\\\\y + 4 = \frac{1}{3}x-3*\frac{1}{3}\\\\y + 4 = \frac{1}{3}x-1\\\\y =\frac{1}{3}x-1-4\\\\y = \frac{1}{3}x - 5[/tex]
what is the measure of the missing angle?
Whats the answers to this question?
Answer:
1) e = 6
2) w = 10
3) s = 27
4) t = 4
Step-by-step explanation:
Cross multiplication
A banner measures 5.4 feet long. How long does the banner measure in inches and yards?
Answer:
64.8 and 1.8
Step-by-step explanation:
The banner measure inches in yards are 64.8 and 1.8.
We have given that,
We have to determine the length does the banner measure in inches and yards.
What is the meaning of inches and yards?
An inch is a unit of length in the British imperial and the United States customary systems of measurement. It is equal to 136 yard or 112 of a foot.
Therefore we get the banner measure inches in yards are 64.8 and 1.8.
To learn more about the length visit:
https://brainly.com/question/2217700
#SPJ2
Im kinda stuck on this can i get help
Answer:
6+4=10
7-6=1
6*6=36
1/3*6=2
Step-by-step explanation:
Plug in 6 for x and solve it.
Find the mean for the following group of data item 1, 7, 5, 4, 9, 6, 7, 4
Answer:
5.375
Step-by-step explanation:
THE TOPIC IS FIND THE CIRCUMFERENCE OF EACH CIRCLE!! 5 AND 8!! .. Help pls this is my first question on here and I need help with this pls. I will give you the brainliest and a thanks!! :)) can u do all three of these? Pls thanks!!!! :))
Answer:
Circle 1: 37.68 ft
Circle 2: 28.26 cm
Help due today asap Plaese help
Answer:
A
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
got it right on the test
