Hey there! I'm happy to help!
First, let's find the volume of the cylindrical tank.
To find the volume of a cylinder, take the area of the circle base and multiply it by the height of the cylinder.
To find the area of a circle, you square the radius and multiply it by pi (we will use 3.14).
The diameter is always twice the radius, so we divide by two to find the radius.
1.4/2=0.7
We square this.
0.7²=0.49
And we multiply by 3.14.
0.49×3.14=1.5386
Now that we have the area of the circle, we multiply by the height (length in our case since the cylinder is sideways).
1.5386×4.5=6.9237
Now, we see that we will be losing 1.7 feet every minute. To see how many times 1.7 feet goes into our cylinder, we just divide!
6.9237÷1.7= 4.07276470588
So we see that it will take just over 4 minutes for the tank to empty.
Have a wonderful day and keep on learning! :D
Please help.. Offering 25 points and 5 stars with a thanks
Answer:
2/5
Step-by-step explanation:
There are 2 white and 4 yellow = 6
P(yellow) = yellow /total = 4/6 = 2/3
We keep the ball
Now there are 2 white and 3 yellow = 5
P(yellow) = yellow /total = 3/5
P ( yellow, keep, yellow) = 2/3 * 3/5 = 2/5
We are given 4 yellow balls and 2 white balls. In total, this adds up to 6.
Divide the number of yellow balls to the total number of balls:
4/6 -> 2/3
We are also given 3 yellow and 2 white.
Divide the number of yellow balls to the total number of balls:
3/5
Divide both fractions together:
3/5 * 2/3 = 6/15 = 2/5
Best of Luck!
The cycling road race through the Adelaide Hills started at 11:50am and the winner
Took 74 minutes. The winner crossed the finishing line at
math help
please. thank you.
Answer:
AC=EG AND BC = FG I THINK IT IS ONLY THIS
Answer:
BC=FG
Step-by-step explanation:
Because BC and FG is congruent side of angle A
hope you understand
plese help asap!!! .................
Answer:
what do you need to find? Area? perimeter?
Step-by-step explanation:
If the length of a room is 18 feet, how long should it be on a scale drawing
where 1 in. = 2 ft.?
Answer:
9 in.
Step-by-step explanation:
Proportions:
1 in ⇔ 2 ft
R in ⇔ 18
R = 18*1/2
R = 9 in
what is the rename of 10/21
Answer: ten Twenty-one
Step-by-step explanation:
10/21
Find X.
Use angle center circle page for reference.
Explain your answer.
Answer:
[tex]x=20[/tex]
Step-by-step explanation:
Refer to the diagram below for letter names of points.
Using the theorem provided on the second image, we can conclude that [tex]m\angle AOC=2*m\angle ABC=2*100\textdegree = 200\textdegree[/tex]. Keep in mind that this is the reflex [tex]\angle AOC[/tex].
Because [tex]O \in DC[/tex], we know that [tex]DC[/tex] is a diameter by definition, which makes [tex]m\angle DOC = 180\textdegree[/tex].
Using the Angle Addition Postulate, we can write the following equation:
[tex]m\angle AOD+m\angle DOC=m\angle AOC[/tex]
Substituting the measures of each angle into the equation gives us:
[tex]x\textdegree + 180\textdegree = 200\textdegree[/tex]
Solving the equation for [tex]x[/tex] gives us:
[tex]x\textdegree + 180\textdegree = 200\textdegree[/tex]
[tex]x\textdegree + 180\textdegree - 180\textdegree = 200\textdegree - 180\textdegree[/tex] (Subtract [tex]180\textdegree[/tex] from both sides of the equation to isolate [tex]x[/tex])
[tex]x\textdegree = 20\textdegree \rightarrow \bf x=20[/tex] (Simplify)
Remember that [tex]x=20[/tex], not [tex]20\textdegree[/tex] because the degree symbol was already given in the original expression. Hope this helps!
Instead of using the values {1,2,3,4,5,6}
on dice, suppose a pair of dice have the
following: {1,2,2,3,3,4} on one die and
{1,3,4,5,6,8} on the other. Find the
probability of rolling a sum of 2 with
these dice. Be sure to reduce.
[?]
Answer:
1/36
Step-by-step explanation:
it is the exact same as if both your dice had the numbers {1,2,3,4,5,6}
you said the SUM of the dice that is indicates the answer of the addition of two (or for that matter more) numbers,... the only numbers that would sum 2 is 1+1,... and because you only have two ones (one per die) the answer is the same as if they where die with normal numbers,...
The probability of rolling a sum of 2 with these dice is 1/36.
What is the probability?Probability refers to a possibility that deals with the occurrence of random events.
The probability of all the events occurring need to be 1.
The formula of probability is defined as the ratio of a number of favorable outcomes to the total number of outcomes.
P(E) = Number of favorable outcomes / total number of outcomes
We are given that;
Pair of dice have= {1,2,2,3,3,4}
Now,
The probability of rolling a sum of 2 with two dice is the same as the probability of rolling snake eyes, since the only way to get a sum of 2 is if both dice show a 11. The probability of rolling a 1 on a single die is 1/6, so the probability of rolling a 1 on both dice is (1/6) × (1/6) = 1/3612.
However, in this case, the dice are not standard six-sided dice, but have different numbers on their faces. The first die has {1,2,2,3,3,4} and the second die has {1,3,4,5,6,8}. The probability of rolling a 1 on the first die is still 1/6, but the probability of rolling a 1 on the second die is also 1/6. Therefore, the probability of rolling a sum of 2 with these dice is still (1/6) × (1/6) = 1/36.
This probability cannot be reduced any further, since 1 and 36 have no common factors other than 1.
Therefore, the probability will be 1/36.
Learn more about probability here;
https://brainly.com/question/9326835
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Select the correct answer from the drop-down menu.
If A and Bare independent events, P(Aand B) =
1. P(A)
2.P(B)
3.P(A) * P(B)
4.P(A) + P(B)
Answer:
Step-by-step explanation:
P(A and B)=P(A)*P(B)
if y - 1/y =8 then find the value of y^2-1/y^3
Step-by-step explanation:
[tex] {y}^{2} - \frac{1}{ {y}^{3} } [/tex]
factorise out y² ;
[tex] = {y}^{2} (1 - \frac{1}{y} ) \\ \\ = 8 {y}^{2} [/tex]
explain how 6/12 and 4/8 are equal fractions
6/12 and 4/8 are equal fractions, as, when simplified, they share a simplified fraction.
Note that what you do to the denominator, you do to the numerator. Find common denominators for both fractions:
(4/8)/(2/2) = 2/4
(6/12)/(3/3) = 2/4
As you can tell, when they share a common denominator (4), the numerators are the same as well (3).
~
Please answer this question now
Answer:
Approximately 439.6 square millimeters.
Step-by-step explanation:
The formula for the surface area of a cone is the following:
[tex]A=\pi r^2+\pi r l[/tex]
Where, r is the radius and l is the slant height.
The radius is 7 and the slant height is 13. We also use 3.14 for π Thus:
[tex]A=(3.14)(7)^2+(3.14)(7)(13)\\\text{Use a Calculator}\\A\approx 439.6[/tex]
Answer:
292.77
Step-by-step explanation:
πr(r+[tex]\sqrt{h2+r2}[/tex])
13 x 2 = 26
7 x 2 = 14
26 + 14 = 40
[tex]\sqrt{40}[/tex] = 6.32
7 + 6.32 = 13.32
3.14 x 7 = 21.98
21.98 x 13.32 =
292.77
Find the missing probability. P(B)=720,P(A|B)=14 ,P(A∩B)=?
Answer:
7/80
Step-by-step explanation:
Given that: P(B) = 7 / 20, P(A|B)= 1 / 4
Bayes theorem is used to mathematically represent the conditional probability of an event A given B. According to Bayes theorem:
[tex]P(A|B)=\frac{P(A \cap B)}{P(B)}[/tex]
Where P(B) is the probability of event B occurring, P(A ∩ B) is the probability of event A and event B occurring and P(A|B) is the probability of event A occurring given event B.
[tex]P(A|B)=\frac{P(A \cap B)}{P(B)}\\\\P(A \cap B)=P(A|B)*P(B)\\\\Substituting:\\\\P(A \cap B)=1/4*7/20=7/80\\\\P(A \cap B)=7/80[/tex]
Someone please help! Thank you
Answer:
Hey there!
We can write a equations here:
3x+y=180
Also, since all of the angles have 3x on the outside, then y must be constant.
3y=180
y=60
Thus, for x, we have 3x+60=180, 3x=120, x=40.
2x+6y
2(40)+6(60)
80+360
440.
Let me know if this helps :)
Plz Help I Will Mark Brainliest If Right f(x) = x^2 + 3 A). y > -3 B). All real numbers C). y ≥ 3 D). y ≤ 3
Answer:
C) y ≥ 3
Step-by-step explanation:
The answer choices suggest that you're interested in the range of the function. x^2 cannot be negative, so its value will be 0 or greater. Adding 3 to x^2 ensures that the value of f(x) will be 3 or greater.
y ≥ 3 . . . . matches C
Need help please will give you a 5 stars
Answer:
option 1
Step-by-step explanation:
Here (2,0)
(2-4) square -4 is = 0
Answer:
y = (x - 4)^2 - 4
Step-by-step explanation:
Here are the points work:
(4,-4) Works:
y = (4 - 4)^2 - 4
y = 0 - 4
y = -4
(6,0) Works:
y = (6 - 4)^2 - 4
y = 4 - 4
y = 0
(2,0) Works:
y = (2 - 4)^2 - 4
y = 4 - 4
y = 0
And (0,12) Works:
y = (0 - 4)^2 - 4
y = 16 - 4
y = 12
Hope this helps, and have a good day!
(brainliest would be appreciated?)
Please give me the correct answer
Answer:
10 centimeters
Step-by-step explanation:
formula for volume of a cylinder = πr² · h
1. Set up the equation
(3.14)(r²)(14) = 4,396
2. Simplify
(43.96)(r²) = 4,396
3. Solve
r² = 100
√r = √100
r = 10
What number must be subtracted from 25 for the
difference to be 22? Explain your answer. Include a
number line in your explanation.
Answer: 3
Step-by-step explanation:
When you subtract 25 from 22 you get 3 and when you subtract 3 from 25 you 22.
The distance of planet Mercury from the Sun is approximately 5.8. 107 kilometers, and the distance of planet Venus from the Sun is 1.1 . 108 kilometers. About how
many more kilometers is the distance of Venus from the Sun than the distance of Mercury from the Sun?
O 5.2. 107 kilometers
O 4.7. 108 kilometers
O 5.2. 108 kilometers
O 5.7. 109 kilometers
35\40 = 7\?
a. 5
b. 8
c. 1
d. 4
Answer:
b. 8
Step-by-step explanation:
Simplify the left side by dividing the top and bottom by 5
35/5 = 7
40 /5 = 8
7/8
Hey there!
35/40 = 7/x
Cross Multiply the fraction
35(x) = (7)(40)
→ 35x = 280
DIVIDE 35 to BOTH SIDES
35x/35 = 280/35
CANCEL out: 35/35 because that gives you 1
KEEP: 280/35 because that helps solve for the x-value
→ x = 280/35
x = 8
Therefore, your answer is most likely: 8 (Option B)
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
A box contains 20 equal-sized balls, numbered 1 to 20. Two balls are drawn at random simultaneously. What is the probability that the numbers on the two balls will differ by more than 2
Answer:
P = 0,7947 or 79,47%
Step-by-step explanation:
We have 20 balls, the total possible outcomes drawn two balls simultaneously is:
C = m! /n! *( m - n )!
C = 20!/2! *( 20 - 2)!
C= 20*19*18!/ 2* 18!
C = 20*19/2
C = 190
Now the number of successful outcomes x ( those where balls differ by more than 2 is)
x = total numbers of outcomes - 20 ( outcomes differing in 1 ) - 19 (outcomes differing in 2 )
x = 190 - 39
x = 151
Then the probability of drawing tw balls with numbers differing n mr than two is
P = successful outcomes / total outcomes
P = 151/190
P = 0,7947 or 79,47%
A. 19
B. 20
C. 15
D. 25
Help please !!
Answer:
A
Step-by-step explanation:
14. Simplify the expressions
a. 12 - 5y + 21 + y -23
Answer:
10 - 4y
Step-by-step explanation:
Combine like terms. 12, 21 and -23 add up to 10, and -5y + y is -4y.
Then, together, we have 10 - 4y (answer)
Answer:
[tex]\large\boxed{10 - 4y}[/tex]
Step-by-step explanation:
12 - 5y + 21 + y - 23
Combine like terms (add -5y to + y)
12 + 21 - 4y - 23
Add 12 + 21
33 - 4y - 23
Subtract 23 from 33
[tex]\large\boxed{10 - 4y}[/tex]
This is the simplest form of the expression.
Hope this helps :)
I promise i will mark as brainiest
Answer:
The answer is option BStep-by-step explanation:
The question above means that how many numbers can divide 2003 with a remainder of 23
That means all the numbers are less than 2003
The number of numbers that have this property are only
22 numbersHope this helps you
If 3 cats catch 3 mice in 3 minutes, how long will it take 100 cats to catch 100 mice?
Answer:
100 minutes
Step-by-step explanation:
It takes each of the 3 cats about 1 minute to catch one mouse. If the same goes for the 100 cats, it will take them 100 minutes to catch 100 mice.
Hope that helps.
Answer:
3 min
Step-by-step explanation:
These are all independent actions.
If you put 1 cat in a room with 1 mouse, it will take 3 min to catch the mouse.
If you put 2 cats in a room with 2 mice, they will act independently and it will take 3 min for each one to catch a mouse.
If you put 3 cats in a room with 3 mice, they will act independently and it will take 3 min for each one to catch a mouse.
If you put 100 cats in a room with 100 mice, they will act independently and it will take 3 min for each one to catch a mouse.
Each cat will finish at the same time — 3 min.
Simplify to create an equivalent expression.
5(10k + 1) + 2(2+8k)
Answer:
66k+9
Step-by-step explanation:
Let's simplify step-by-step.
5(10k+1)+2(2+8k)
Distribute:
=(5)(10k)+(5)(1)+(2)(2)+(2)(8k)
=50k+5+4+16k
Combine Like Terms:
=50k+5+4+16k
=(50k+16k)+(5+4)
=66k+9
Answer:
=66k+9
HOPE THIS HELPS!!!!!! :)
<3333333333
The sum of first three terms of an arithmetic series is 21. If the sum of the first two terms is subtracted from the third term then it would be 9. find the three terms of the series. The first and last bra
Answer:
The terms are - 1, 7 and 15.
Step-by-step explanation:
Let the terms be a-d, a, a+d.
ATQ, a-d+a+a+d=21, a=7 and a+d-(a-d+a)=9. 2d-a=9, d=8. The terms are - 1, 7 and 15.
The first three terms will be : -1, 7, 15
We have sum of first three terms of an arithmetic series is 21. It is given that if the sum of the first two terms is subtracted from the third term then it would be 9.
We have to find the three terms of the series.
What is Arithmetic progression or sequence?An arithmetic progression or sequence with common difference [tex]d[/tex] is given as -
a, a + d, a + 2d, a + 3d .....
According to the question -
a + (a + d) + (a + 2d) = 21
3a + 3d = 21
3(a + d)=21
a + d = 7 (Eqn. 1)
(a + 2d) - (a + a + d) = 9
a + 2d - a - a - d = 9
d - a = 9
a = d - 9
Substituting the value of 'a' in Eqn. 1, we get -
d - 9 + d = 7
2d - 9 = 7
2d = 16
d = 8
Therefore -
a = 8 - 9
a = -1
The three terms are -
a = -1
a + d = -1 + 8 = 7
a + 2d = -1 + 2 x 8 = 15
Hence, the first three terms will be - -1, 7, 15
To solve more questions on Arithmetic Sequences and finding the terms, visit the link below -
https://brainly.com/question/20384906
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help with 57, please!!
9514 1404 393
Answer:
a) $554
b) y = 138.50x
c) see attached
Step-by-step explanation:
a) The cost is the product of the number of hours and the cost per hour.
cost = (4 h)($138.50 /h) = $554.00 . . . . for a 4-hour course
__
b) As above, the cost (y) is the product of the number of hours (x) and the cost per hour ($138.50).
y = 138.50x . . . . tuition for x credit hours.
__
c) As in part (b), the tuition is hours times 138.50. That means hours are tuition divided by 138.50.
Brian invested his savings in two investment funds. The $8000 that he invested in Fund A returned a 4% profit. The amount that he invested in Fund B returned a 1% profit. How much did he invest in Fund B, if both funds together returned a 2% profit?
Answer: Brian invested $16000 in Fund B .
Step-by-step explanation:
Let x be the amount Brian invested in Fund B.
Given, The $8000 that he invested in Fund A returned a 4% profit. The amount that he invested in Fund B returned a 1% profit.
i.e. profit on Fund A = 4% of 8000 = 0.04 ×8000 = $320
Profit on Fund B = 1% of x = 0.01x
Together they earn 1% profit, i.e. Combined profit = 2% of (8000+x)
= 0.02(8000+x)
As per question,
Combined profit=Profit on Fund A+Profit on Fund B
[tex]\Rightarrow\ 0.02(8000+x) =320+0.01x\\\\\Rightarrow\ 0.02(8000) +0.02x=320+0.01x\\\\\Rightarrow\ 160+0.02x=320+0.01x\\\\\Rightarrow\ 0.02x-0.01x=320-160\\\\\Rightarrow\ 0.01x=160\\\\\Rightarrow\ x=\dfrac{160}{0.01}\\\\\Rightarrow\ x=16000[/tex]
Hence, Brian invested $16000 in Fund B .
Ahmad has some files.
زرا
He gave
of the files and had 14 files left.
5
How many files did he have at first?
Step-by-step explanation:
why did u add the 5 in the question?.