Answer:
3/2
Step-by-step explanation:
make into a improper fraction
A spherical exercise ball has a maximum diameter of 30 inches when filled with air. The ball was completely empty at the start, and an electric air pump is filling it with air at the rate of 1600 cubic Inches per minute. The formula for the volume of a sphere is 4pi (r^3/3)
Part A Enter an equation for the amount of air still needed to fill the ball to its maximum volume, y, with respect to the number of minutes the pump has been pumping air into the ball, X.
Part B Enter the total amount of air, in cubic inches, still needed to fill the ball after the pump has been running for 4 minutes.
Part C Enter the estimated number of minutes it takes to pump up the ball to its maximum volume.
Answer:
A) A(t) = 4500*π - 1600*t
B) A(4) = 7730 in³
C) t = 8,8 sec
Step-by-step explanation:
The volume of the sphere is:
d max = 30 r max = 15 in
V(s) = (4/3)*π*r³ V(s) = (4/3)*π* (15)³
V(s) = 4500*π
A) Amount of air needed to fill the ball A(t)
A(t) = Total max. volume of the sphere - rate of flux of air * time
A(t) = 4500*π - 1600*t in³
B) After 4 minutes
A(4) = 4500*π - 6400
A(4) = 14130 - 6400
A(4) = 7730 in³
C) A(t) = 4500*π - 1600*t
when A(t) = 0 the ball got its maximum volume then:
4500*π - 1600*t = 0
t = 14130/1600
t = 8,8 sec
Find the area of each figure. Round to the nearest tenth if necessary.
Answer:
Solution given:
1.
diameter(d)=6mm
base(b)=8mm
height (h)=5mm
Area of figure=area of parallelogram +area of semi circle
base*height+½π(d/2)²8*5+½*π×(6/2)²40+14.1454.4mm²Area :54.14mm²2.
for triangle
base[b]=6ft
height(h)=9ft
for square
length[l]=9ft
Area of figure=area of square +area of triangle
=l²+½*b*h=9²+½*6*9=81+27=108ft²Area: 108ft²The distribution of the amount of money in savings accounts for Florida State students has an average of 1,200 dollars and a standard deviation of 900 dollars. Suppose that we take a random sample of 10 Florida State students and ask them how much they have in their savings account. The sampling distribution of the sample mean amount of money in a savings account is
Answer:
By the Central Limit Theorem, the sampling distribution of the sample mean amount of money in a savings account is approximately normal with mean of 1,200 dollars and standard deviation of 284.6 dollars.
Step-by-step explanation:
Central Limit Theorem
The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
Average of 1,200 dollars and a standard deviation of 900 dollars.
This means that [tex]\mu = 1200, \sigma = 900[/tex]
Sample of 10.
This means that [tex]n = 10, s = \frac{900}{\sqrt{10}} = 284.6[/tex]
The sampling distribution of the sample mean amount of money in a savings account is
By the Central Limit Theorem, approximately normal with mean of 1,200 dollars and standard deviation of 284.6 dollars.
The sampling distribution of the sample mean amount of money in a savings account is mean of 1,200 and standard deviation of 284.6 dollars.
Calculation of mean & standard deviation:Since the distribution of the amount of money in savings accounts for Florida State students has an average of 1,200 dollars and a standard deviation of 900 dollars. And, a random sample of 10.
So here the mean should be $1,200
And, the standard deviation should be
[tex]= 900 \div \sqrt10[/tex]
= $284.6
learn more about mean here: https://brainly.com/question/9588526
I need a bit of help pls.
Answer:
#1. 150, #2. 650, #3. 2 PM to 4 PM #4. 8AM to 4PM (8 hours) #5. the frequency of weight in pounds #6. 22 cats
#7. 1 - 40 pounds #8. 11 - 20 pounds
C. 20 people show up to the party, and Robert decides to give them each the
same amount of pizza. How much pizza does each person get?
Answer:
Step-by-step explanation:3/5 of the pizza
1. x2 - 3x + 2
Type of factoring :
Factors:
Help is a test please
(k+1)x^2-8kx+(3k+5) calculate the value for k
Answer:
Step-by-step explanation:
Let's simplify step-by-step.
(k+1)(x2)−8kx+3k+5
Distribute:
=(k)(x2)+(1)(x2)+−8kx+3k+5
=kx2+x2+−8kx+3k+5
Answer:
=kx2−8kx+x2+3k+5
x(x+1)+(x+1)(x+2)+(x+2)(x+3) solve the equation for x
Answer:
3x²+9x+8
Step-by-step explanation:
x²+x+x(x+2)+1(x+2)+x(x+3)+2(x+3)
x²+x+x²+2x+x+2+x²+3x+2x+6
x²+x²+x²+x+2x+x+3x+2x+2+6
3x²+9x+8
Answer:
[tex]3 x^{2}[/tex] + 9[tex]x[/tex] + 8
(This is an expression, not an equation so you can't find x with this expression. Equations have an = sign which can help isolate x on one side to find the value of x. This is the closest thing you could do for an answer for this expression.)
Step-by-step explanation:
x(x+1)+(x+1)(x+2)+(x+2)(x+3)
= (x)(x) + (x)(1) + (x)(x) + (x)(2) + (1)(x) + (1)(2) + (x)(x) + (x)(3) + (2)(x) + (2)(3)
= x^2 + x + x^2 + 2x + x+ 2 + x^2 + 3x + 2x + 6
= (x^2+x^2+x^2) + (x+2x+x+3x+2x) + (2+6)
= [tex]3x^{2}[/tex] + 9[tex]x[/tex] + 8
So first you expand the brackets and then you combine like terms.
180 lb 12 oz - 79.3 kg = ___________ kg
Answer:
[tex]180lb\ 12 oz - 79.3kg = 2.8kg[/tex]
Step-by-step explanation:
Given
[tex]180\ lb 12\ oz - 79.3kg[/tex]
Required
Solve
First, convert 180lb to kg
[tex]1lb \to 0.454kg[/tex]
[tex]180lb \to 180 *0.454kg[/tex]
[tex]180lb \to 81.7kg[/tex] -- to 1dp
Next, convert 12oz to kg
[tex]1oz \to 0.03kg[/tex]
[tex]12oz \to 12 * 0.03kg[/tex]
[tex]12oz \to 0.4kg[/tex] --- to 1 dp
So, the expression becomes:
[tex]180\ lb 12\ oz - 79.3kg[/tex]
[tex]81.7kg + 0.4kg - 79.3kg[/tex]
[tex]= 2.8kg[/tex]
Hence:
[tex]180lb\ 12 oz - 79.3kg = 2.8kg[/tex]
Compare the two leagues and predict which league would be more likely to win a game. 2 tables. Table 1 is a 2-column table with 5 rows. Column 1 is labeled H R with entries 34, 45, 62, 92, 111. Column 2 is labeled W with entries 50, 65, 72, 83, 105. Table 2 is a 2-column table with 5 rows. Column 1 is labeled H R with entries 72, 80, 88, 97, 109. Column 2 is labeled W with entries 79, 84, 87, 89, 102.
Answer:
79
Step-by-step explanation:
Answer:
edge 2021
Step-by-step explanation:
The team from the second league would be more likey to win becasue teams in taht league have more consistent, and mostly greater, numbers of home runs and winning games. Data for teams in the second league also do not show any outliers.
tessa burned 357 calories in 42 minutes on the elliptical. ashley only spent 30 minutes on the elliptical and burned 267 calories. who burned calories at a faster rate
i need help badly due today
Answer:
Solid A
Step-by-step explanation:
SOMEONE PLEASE HELP!
Ms. Robinson gave her class 12 minutes to read. Carrie read 51/2 pages in that time. At
what rate, in pages per hour, did Carrie read?
1 1/10
22
27 1/2
66
Answer:
27 1/2
Step-by-step explanation:
what is sin B?
A. 6/7.81 C. 5/7.81
B. 5/6 D. 7.81/6
what is cos B?
A. 6/7.81 C.5/7.81
B. 5/6 D. 6/5
what is tan B?
A. 7.81/5 C. 5/7.81
B. 5/6 D.6/5
Step-by-step explanation:
sinB=p/h
6/7.81A is yr anscosB=b/h
5/7.81C is yr anstan B= p/b
7/5D is yr ansstay safe healthy and happy...Thank you Brainly for helping me beat edg2020-2021
Answer:
Wat does that mean?
Step-by-step explanation:
A landscape designer has to construct a rectangular flower bed with a perimeter of 100 feet and the maximum possible area. What is the area of the flower bed
9514 1404 393
Answer:
625 square feet
Step-by-step explanation:
The greatest area of a polygon with a given perimeter is that of a regular polygon. A regular rectangle is one that has all sides the same length -- a square. The side length of a square with 100 ft perimeter is 25 ft. The area of a square with such a side length is
A = (25 ft)² = 625 ft²
The maximum possible area is 625 ft².
__
In the attached, x is the length of one side. The area versus side length is plotted. The maximum is seen to be 625 ft² for a side length of 25 ft.
30
7
0.7
dbksb
FS MATHS L2
Practise the Skill
1)
There are 14 women and 7 men in a café.
What is the probability that a person picked at random will be a woman?
Give your answer as a fraction in its lowest terms.
2)
Sally has a pack of playing cards and she chooses a card at random.
a) What is the probability that she picks an ace?
Give your answer as a fraction in its lowest terms.
Answer:
1) 2/1
2) 13/1
Step-by-step explanation:
PLEASE PLEASE HELP ME!
Erin drinks one-half of a gallon of milk in four days. If she continues to drink the same amount every day, what is her daily rate of consumption?
A.18gallons/daily
B.27gallons/daily
C.78gallons/daily
D.2gallons/daily
Answer:
D
Step-by-step explanation:
1/2 ×4 =2
Help me find the volume of the figure.
Answer:
Step-by-step explanation:
since it is a cuboid use this formula
volume of a cuboid=l*w*h
=2*8*3
for his long distance phone service, lamar pays a 6 dollar monthly fee plus 8 cents per minute. last month, lamars long distance bill was 14.96. for how many minutes was lamar billed
Answer:
112
Step-by-step explanation:
14.96-6 = 8.96, divide 8.96 by 0.08 and it comes out to 112 which would be how much minutes in total Lamar used.
0.08 being cents per minute
8.96 being the total amount used after the initial $6 monthly fee
[tex]3^{x} = 4[/tex]
4^{y} = 12
estimate xy
9514 1404 393
Answer:
xy ≈ 2.3
Step-by-step explanation:
Logarithms can be used to find x and y.
3^x = 4
x·log(3) = log(4)
x = log(4)/log(3)
__
4^y = 12
y = log(12)/log(4)
__
Then xy is ...
xy = log(4)/log(3) × log(12)/log(4) = log(12)/log(3)
xy ≈ 1.079/0.477
xy ≈ 2.26
Can someone help me
Please also on this 1
0.05/50
pls help me i don’t understand
Answer:
plug it into a calculator and you get 0.001
Step-by-step explanation:
50/50=1
then put in the decimal places to get 0.001
8. True or False. The correlation coefficient is a measure of the strength of an
association between two variables.
(x-1)/4=(x-4)/5 pls tell fast with steps
i will mark brainliest
Answer:
x= -11
Step-by-step explanation:
Only got two days this is last resort wouldn’t mind help
Answer:
Option C.
Step-by-step explanation:
If we have two functions:
f(x) and g(x)
the product is given by:
(f*g)(x) = f(x)*g(x)
So, if here we have
f(x) = √(3*x)
g(x) = √(48*x)
And remembering that the square root is distributive, so:
√a*√b = √(a*b)
We can write:
(f*g)(x) = f(x)*g(x) = √(3*x)*√(48*x) = √(3*x*48*x)
= √(3*48*x*x) = √(144*x^2) = √(144)*√(x^2)
And here we can use that:
12*12 = 144, then √144 = 12
and
x*x = x^2, then √x^2 = x
So:
√(144)*√(x^2) = 12*x
Then the correct option is C.
Compare the temperature change for the two masses of cold water (50 grams and 100 grams) when the same amount of hot water was added. What do you discover?
Answer:
Step-by-step explanation:
All other things being equal (and there are a lot of other things) the 50 gram mass will show a larger temperature
increase than the 100 gram mass.
Why?
The formula is the same from both masses of water (50 grams and 100 grams)
The amount of heat added is the same. (Instead of using hot water, we'll a hot plate on a very low temperature but above what they are now.).
We'll leave it on until we see a rise in temperature delta(t1) = 10 degrees
mc delta(t) = m1 * c * delta(t1)
m = 100
m1 = 50 grams.
c is going to be divided out
we'll solve for the ratio of delta(t) / delta(t1)
100 * delta(t) = 50 (delta(t1)
100 * delta(t) = 50*10
delta(t) = 50*10/100
delta(t) = 5 degrees.
Though this may look rather convoluted, the result is telling us is that delta(t1) for the 50 gram mass is twice as big as as for the 100 gram mass.
The 100 gram mass only rises 5 degrees.
The 50 gram mass rises 10 degrees.
Answer:
50 gram mass will show a larger temperature
increase than the 100 gram mass.
Step-by-step explanation:
50 gms water at 20 ⁰ C and 50 gms of water at 40⁰ C are mixed. Since the masses of the liquid at different temperatures are same, the answer is very easy and simple : average of 20⁰C and 40⁰C. that is: 30⁰C.
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Help Please!
which of the following is the solution to the inequality below?
-6(4-x) = -4(x+1)
A. X=10
B. X=2
C. X>/=10
D. X>/=2
Answer:
The answer to this question is x=2