Answers
Answer:
[tex] \frac{4}{3} \times \pi \times {21}^{3} = 38772.719999383[/tex]
Exact Volume = 12348pi
Approximate Volume = 38772.72 (when using pi = 3.14)
Units for the volume are in cubic inches
====================================================
Explanation:
The cube has a side length of 42 inches.
Because the sphere is as large as possible, yet fully contained in the box, this means the diameter of the sphere is 42 inches.
If the diameter is 42, then the radius is half that at 21.
Plug r = 21 into the formula below to compute the volume of the sphere
V = (4/3)*pi*r^3
V = (4/3)*pi*21^3
V = (4/3)*21^3*pi
V = 12348pi .... exact volume
If we use the approximation pi = 3.14, then we would get,
V = 12348*pi
V = 12348*3.14
V = 38772.72 .... approximate volume
The units for the volume are in cubic inches. If you need more accuracy for the approximate volume, then use more decimal digits of pi.
Related Questions
If g(x) = 2x + 1 and f (x) = x2 + 4, find g[f(4)].
g[f(4)] =
Answers
Answer:
g(f(4)) = 41
Step-by-step explanation:
Evaluate f(4) then substitute the value obtained into g(x)
f(4) = 4² + 4 = 16 + 4 = 20, then
g(20) = 2(20) + 1 = 40 + 1 = 41
That is g(f(4)) = 41
The population of Arlington High School can be modeled using the equation P(t)=3,500(1.027)^t , where t represents the number of years since 2010. Is the population of Arlington High increasing or decreasing? Explain how you can tell using the equation. What would the population be after 29 years?
Answers
The population of Arlington High is increasing. Then the population of Arlington High school after 29 years will be 7579.
What is an exponent?Let b is the base and x is the power of the exponent function and a is the leading coefficient. The exponent is given as
y = a(b)ˣ
The population of Arlington High School can be modeled using the equation
[tex]\rm P(t)=3,500(1.027)^t[/tex]
Where t represents the number of years since 2010.
The population of Arlington High is increasing. Because b > 1.
Then the population of Arlington High school after 29 years will be
P(27) = 3500 (1.027)²⁹
P(27) = 7578.98
P(27) ≈ 7579
More about the exponent link is given below.
https://brainly.com/question/5497425
#SPJ2
The number of wins in a season for 32 randomly selected professional football teams arelisted below. Construct a 90% confidence interval for the true mean number of wins in a season.
Mean(x) = sum of 32 observations / 32 = 7.97
Standard deviation( sd )=2.62
Sample Size(n)=32
Confidence Interval = [ 7.97 ± Z a/2 ( 2.62/ Sqrt ( 32) ) ] = [ 7.97 - 1.64 * (0.4632) , 7.97 + 1.64 * (0.4632) ] = [ 7.2,8.7 . What are the steps used to solve this? How did they find their Standard Deviation? Also what does the Z stand for in the confidence interval?
Answers
Answer:
A)CI 90 % = [ 7,2103 ; 8,7297]
B) s = √ ∑(xi - xp)²/n-1
c) z is the score for the given significance level in this case is 1,64
Step-by-step explanation:
For a confidence Interval of 90%, the significance level is α = 10 %
α = 0,1 α/2 = 0,05 and from z-table we find z(c) for 0,05 z(c) = 1,64
CI 90 % = [ x ± z(c) * s/√n ]
CI 90 % = [ 7,97 ± 1,64 * 2.62/√32]
CI 90 % = [ 7,97 ± 0,7597]
CI 90 % = [ 7,2103 ; 8,7297]
B) To calculate the standard deviation of the sample the equation is:
s = √ ∑(xi - xp)²/n-1
xi - xp is the difference between each one of the elements of the sample
xp is the mean or average of the elements of the sample and n is the sample size
Three plus the number a is greater than or equal to 19
Answers
Answer:
a[tex]\geq[/tex]16
Step-by-step explanation:
3+a[tex]\geq[/tex]19
-3 -3
a[tex]\geq[/tex]16
(see below) (The line I drew represents where a is and if it is to be greater or equal to it must be 16 or over)
find the perimeter of the triangle
Answers
Answer:
73.7
Step-by-step explanation:
14 +14 +23+22.7=73.7
30 POINTS!!
The height of a ball dropped from a 160 foot building after a seconds is represented by h(t) = 160 - 161².
How high will the ball be after 3 seconds?
Answers
Answer:
The height of the ball after 3 secs of dropping is 16 feet. Function h(t)=160-16t^2
have a good day :)
How much points do you need to pass your algebra 1 class?
Answers
Answer:
You can have a D in your class to pass but if you have a F then you dont pass the class
Step-by-step explanation:
Help please. I need an answer quick please.
“Select all the graphs that show a proportional relationship”
Answers
Answer:
Step-by-step explanation:
The graphs of all proportional relationships go through the origin. The first graph satisfies this criterion; the second does not.
Using the data in the table below, what is the constant rate of change, k?
PLS HELP ASAP! (11 POINTS)
Answers
Cody purchased a car for $4500 that will depreciate 28% a year. Write an exponential growth/decay equation that represents the value of Cody's car overtime. How much will the car be worth in 15 years? Round to the nearest cent.
Answers
Answer:
$32.60
Step-by-step explanation:
This question has to to do with exponential decay. The formula is given as:
y = a(1 - r)^x
y = Value of the material after x years
a = Initial value of the material
x = Time in years
r = rate of depreciation or decay
Therefore,
y = 4500 × (1 - 0.28)¹⁵
y = 4500 × 0.72¹⁵
y = $32.598675906
y = Approximately = $32.60
Therefore the of the car after 15 years = $32.60
Please help I have the answer but please make it look like I did the problem 31 divided by 155
Answers
Answer:
Step-by-step explanation:
155 divide by 31=5
Answer:
1/5 or 0.2.
Step-by-step explanation:
31 / 155
Now 155/31 = 5
so the answer is 1/5.
Kevin needs 2/3 of a yard to make a pillow. he has 3 1/3 yards of fabric. How many pillows can he make?
Answers
Answer:
5 pillows
Step-by-step explanation:
3 1/3 also = 10/3
10/2 = 5
5/1 · 2/3 = 10/3
10/3 = 3 1/3
Answer:
5 pillows
Step-by-step explanation:
Divide the total amount of yards by the number of yards to make a pillow to get the number of pillows Kevin can make.
[tex]3 \frac{1}{3} /\frac{2}{3} =\frac{10}{3} /\frac{2}{3} =\frac{10}{3}*\frac{3}{2} =\frac{30}{6} =5[/tex]
HELP ASASP ITS 6Th GRADE MATH
Answers
Answer:
We are learning this in 7th grade lol how did you get 7th grade math to 6th grade math
Help me please I will give you a heart and rate if u do.
Answers
Answer:
(B). 1240 cm²
Step-by-step explanation:
The values are 155 degrees, 5y degrees, and 13x degrees. find the values of x and y
Answers
Answer:
y = 5
x = 5
Step-by-step explanation:
find the complete question in the attached image
the angle opposite 5y is also 5y. this is because alternate angles are equal
180 = 155 + 5y
5y = 180 - 155
5y = 25
y = 5
the sum of 5y and 13x is equal to 90
this is because the sum of angle on a straight line is equal to 180 and one of the angle on the straight line is already equal to 90 . so, 90 (180 - 90)
5y + 13x = 90
25 + 13x = 90
13x = 90 - 25
13x = 65
x = 5
An equation is a math sentence. Which letter(s) represent only an expression, not a complete math sentence? (Could be more than one answer.)
1. 3y=14
2. x-6
3. a/7=6
4. 3 + 5b
5. 12=0.8(5) + c
6. 6/p + 0.5-2/3(p)
Answers
Answer:
2, 4, 6 are expressions
Step-by-step explanation:
A math sentence has a verb: "is equal to" It could also be some other, similar phrase, such as "is less than" or "is not equal to," for example.
An expression has no verb!
x - 6 Say it out loud. See? No verb. It's like saying "that evil neighbor of mine" without saying anything more. Yes? Did what? Is what? Compares to what?
What is the percent increase or decrease between $7.80 and $6.63?
Answers
Amount One: $7.80
Amount Two: $6.63
You’re looking for what percent of 7.80 is 6.63.
$7.80 * X = $6.63.
X = $6.63/$7.80
X = .85
So $6.63 is 85% of $7.80.
Percents are out if 100, so if you want to know what the percent difference is, subtract 85% from 100%.
100% - 85% = 15%.
As you’re going form $7.80 to $6.63, the number is getting smaller so it’s a decrease. Overall, it’s a 15% decrease from $7.80 to $6.63.
Tanesha is mixing paint. She mixes 250 ml of white paint with 750 ml of red paint and 1200 ml of yellow paint. Work out the ratio of white to red to yellow paint. Write the answer in its simplest form
Answers
Answer: [tex]5:15:24[/tex]
Step-by-step explanation:
Given
Tanesha mixes 250 ml white, 750 ml red, and 1200 ml yellow paint
So, the ratio of white, red, and yellow paint is
[tex]\Rightarrow 250:750:1200\quad [\text{cancel by 25}]\\\Rightarrow 10:30:48\quad \text{[cancel by 2]}\\\Rightarrow 5:15:24[/tex]
The ratio of three paints is [tex]5:15:24[/tex].
Which equation does the graph below represent
Answers
Answer:
4) y=-4x
Step-by-step explanation:
The lines goes down 4 units as it moves 1 unit right.
Please help,, I'll mark as brainliest if correct
Answers
the answer is, the number of packages of corn purchased
Answer:
C. The number of packages of corn purchased.
Step-by-step explanation:
We have been given that a store sells four 1 1/8-pound ears of corn in a package for $3.59. The expression represents the cost of the corn for a number of packages.
Since the cost of each package of corn is $3.59 and represents the cost of 'p' packages of the corn. So 'p' represents the number of packages of corn purchased.
Mason is training for the javelin-throw event. A coach created
a graph that shows the height of the javelin over time for
Mason's best throw.
Height (meters)
ONO O NA
5
3 4
Time (seconds)
How many seconds did it take for the javelin to reach its
greatest height?
4.1 s
B В
1.3 s
C
13 s
2 s
Answers
It needs to be 2s if you look at the graph it should show
Answer:
2 seconds
Step-by-step explanation:
CAN SOMEONE HELP ME PLZ NO LINKS
Answers
Answer:
length = 2w - 3
l = length
w = width
2(length) + 2(width) = perimeter
2(2w - 3) + 2(w) = 60
6w -6 =60
w = 11
len = 2(11) - 3
Step-by-step explanation:
Here is a list of numbers:
10, 16, 19, 16, 2, 4, 8 ,16 ,20
State the median.
Answers
Answer: the median is 16
Step-by-step explanation:
The Garrett family traveled 1,280 miles in 4 days on their driving vacation.
If they traveled the same number of miles each day, how many miles did they travel in 1 day?
325
330
335
320
340
Answers
Answer:
320
Step-by-step explanation:
dillon pays x dollars to get a haircut. he gives the stylist a 15% tip. the expression representing his total cost is x + 0.15x
Answers
Answer:
B) 1.15x, adding 15% to the cost of haircut is same as to multiply cost by 1.15
Step-by-step explanation:
Given expression = x + 15% of x
x + (15/100) x = x + 0.15x
= (1+ 0.15) x = 1.15x
15% = 0.15 , added to x = 1.15x
HELP ILL GIVE BRAINLEST its my e+am <3
Answers
Answer:
Think its D
Step-by-step explanation:
A soccer field is a rectangle 160 meters wide and 120 meters long. The coach asks players to run from one corner to the corner diagonally across the field. Use Pythagorean Theorem to determine how far the players run?
Answers
Answer:
200 meters
Step-by-step explanation:
a² + b² = c²
c² = 120² + 160²
c² = 14,400 + 25,600
c² = 40,000
√(c²) = √(40,000)
c = 200
Answer: 200 meters
P(A) = 7/20 P(B) = 7/20 P(A or B) = 49/80, P(A and B)= ?
Answers
Answer:
P(A and B) = 7/80
Step-by-step explanation:
The given values of the probabilities of the different events are;
P(A) = 7/20
P(B) = 7/20
P(A or B) = 49/80
P(A and B) = Required
We have by probability theory for any event;
P(A or B) = P(A) + P(B) - P(A and B)
Therefore;
P(A and B) = P(A) + P(B) - P(A or B)
Plugging in the values gives;
P(A and B) = 7/20 + 7/20 - 49/80 = 7/80
∴ P(A and B) = 7/80
QUICk GIVING BRAINLIEST TO RIGHT ANSWER
Answers
Answer:
I believe the answer is b.73.7
Answer:
73.7
Step-by-step explanation:
2. Four brothers each bought two hot dogs and a bag of chips at the football concession stand. If the bag of chips was $ 1.25, and the total was $ 18.20, what was the price of one hot dog?
Answers
Answer:
1.65$
Step-by-step explanation:
18.20$ (total price) - 4×1.25$ ( chips price) = 13.2$
13.2$ ( price of 8 hot dog)
price of one hot dog= 13.2$ ÷8= 1.65$