The radius of a cylindrical water tank is 6.5 ft, and its height is 19 ft. What is the volume of the tank? Use the value 3.14 for pi, and round your answer to the nearest whole number. Be sure to include the correct unit in your answer. (ft, ft^2, or ft^3)
Answers
Answer: 2521.91 ft^3
Step-by-step explanation:
Answer:
Step-by-step explanation:
Using the cylinder volume formula, V = (pi)r^2h
Since the radius and the height have already been given, no further calculations are necessary.
V= (pi)(6.5)^2(19)
V=(3.14)(42.25)(19)
2520.635 ft^3
Related Questions
I'm still kinda confused about what a direct proportion is, if anyone could explain it to me, that would be great!
Answers
Answer:
Two quantities A and B have an equal ratio of a constant value direct proportion.
Answer:
a proportion of two variable quantities when the ratio of the two quantities is constant.Step-by-step explanation:
Lucas wants to write 3 ÷ 2 as a mixed number. He performs the division below. 3 ÷ 2 = 1 R1 Explain how to write the quotient as a mixed number. Drag the words to complete the explanation. Words may be used once or not at all. quotientdivisordividendremainder Use the whole number part of the as the whole number part of the mixed number. Write the in the numerator of the fraction and write the in the denominator of the fraction.
Answers
Answer:
1 1/2
Step-by-step explanation:
Given the improper fraction 3÷2, this can also be written as 3/2.
Writing as a mixed fraction means writing as a combination of a whole number and fraction e.g a b/c
a is the whole number
b/c is the fraction
3/2 = 1.5
1.5 = 1 + 0.5
1+0.5 = 1 + 5/10
3/2 = 1 + 1/2
Hence 3÷2 expressed as mixed fraction is 1 1/2
The mixed number representation of 3 ÷ 2 is 1 1/2.
To write the quotient of 3 ÷ 2 as a mixed number, we use the whole number part of the quotient as the whole number part of the mixed number.
We write the remainder (1) in the numerator of the fraction, and the divisor (2) in the denominator of the fraction.
As, the whole number part of the quotient is the number of times the divisor (2) can be divided into the dividend (3) evenly.
In this case, 2 can go into 3 once, with a remainder of 1.
To express this as a mixed number, we write 1 as the whole number part, and the remainder (1) as the numerator of the fraction. The divisor (2) is written in the denominator of the fraction.
Therefore, the mixed number representation of 3 ÷ 2 is 1 1/2.
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A website that sells songs for downloading has two different price categories. Older songs are $0.99 and new releases are $1.29. Macy spent $15.36 downloading songs during the month. She downloaded a total of 9 songs. Write a system of equations that represents the situation where x is the number of songs Macy downloaded at $0.99 and y is the number of songs she downloaded at $1.29. You do not need to solve the equations.
Answers
Answer:
$0.99x plus $1.29y = 15.36
Step-by-step explanation:
Find the positive square root of 2 9/49
Answers
solve 3(x-4) = 12x. circle your final solution
Answers
Answer:
9x-12
Step-by-step explanation:
3*x = 3x
3*-4= -12
3x - 12 = 12x
12x-3x = 9x
9x-12
Answer: x = -4/3
Step-by-step explanation:
3(x−4)=12x
Step 1: Simplify both sides of the equation.
3(x−4)=12x
(3)(x)+(3)(−4)=12x (Distribute)
3x+−12=12x
3x−12=12x
Step 2: Subtract 12x from both sides.
3x−12−12x=12x−12x
−9x−12=0
Step 3: Add 12 to both sides.
−9x−12+12=0+12
−9x=12
Step 4: Divide both sides by -9.
-9x/-9 = 12/-9
x = -4/3
Match the following vocabulary words with the correct definition
Coefficient
DRAG & DROP THE ANSWER
Like Terms
Terms that have exactly the same amount of
variable factors
Constant
Equation
A value that makes an algebraic equation true
A term that only has numerical factors and no
variables
Solution
Two algebraic expressions that are equal
If a term has a variable, the numerical factor
before the variable
Answers
Answer:
Step-by-step explanation:
Coefficient: If a term has a variable, the numerical factor before the variable
Like Terms: A term that only has numerical factors and variables
Constant: Terms that have the exact same amount of variable factors
Equation: Two algebraic expressions that are equal
Solution: A value that makes an algebraic equation true
The correct match is given below:-
Coefficient:- If a term has a variable, the numerical factor is before the variable.
Like Terms:- A term that only has numerical factors and variables.
Constant:- Terms that have the exact same amount of variable factors.
Equation:- Two algebraic expressions that are equal.
Solution:- A value that makes an algebraic equation true.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
The appropriate pairing is shown below: -
Coefficient: The numerical factor comes before the variable if a term has one.
Similar Terms: A term with only numerical variables and factors.
Terms with the same number of variables are said to be constants.
Equation: The equality of two algebraic expressions.
A value that makes an algebraic equation true is the answer.
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Answers
Answer:
this is how you solve this equation
Step-by-step explanation:
300= (5x+4)+(2x-14)+(x-10)
Step-by-step explanation:
the answer is going to be 10
Graph joining the points (2,3), (2,5) and (2,7) is a line parallel to y – axis. Find the equation of the line.
Plz help me!
Answers
Answer:
x = 2
Step-by-step explanation:
The equation of a vertical line parallel to the y- axis is
x = c
where c is the value of the x- coordinates the line passes through.
The line passes through (2, 3), (2, 5), (2, 7) all with an x- coordinate 2, thus
x = 2 ← equation of vertical line
Answer:
x = 2
Step-by-step explanation:
Firstly, when a line is parallel to the y axis, the equation of the line is x = the x position common to the points, in this case, x = 2.
but if you want to calculate,
from the points,
x1 = 2, y1 = 3
x2 = 2, y2 = 5
x3 = 2, y3 = 7
using the formula,
y-y1/x-x1 = y2-y1/x2-x1
y-3/x-2 = 5-3/2-2
y-3/x-2 = 2/0
crossing we have,
2(x-2) = 0(y-3)
2x - 4 = 0
2x = 4
x = 2
what is 4/7 ( 7/8 + 2/3 ) - 3/4 ?
Answers
ASAPPP, can someone tell me the answer for this , i don’t want to flunk this assignment:/
Answers
Answer:
B
Step-by-step explanation:
X is about 4.5 times the amount given, so B. 337 1/2
Answer:
337.5 or 337½
Step-by-step explanation:
y∞x
y=kx(where k is the constant)
75=½k
cross multiplication
75×2=k
150=k
therefore the formula connecting x,k and y is y=150x
y=150×2¼
y=150×9/4
y=1350÷4
y=337.5or 337½
Consider the number z = 5 – 5i StartRoot 3 EndRoot. What happens when z is raised to successively increasing powers?
Use the drop down menus to complete each sentence.
The modulus increases by a factor of
The argument increases by
Pi over 3.
Answers
The modulus increases by a factor of 10 and the argument increases by 5π/3.
What is the modulus of the complex number?The modulus of the complex number is the magnitude of the complex number. If z is the complex number such that z= p+qi
Then the modulus of the z will be =|z|= √p²+q²
We have,
z = 5 – 5i √3
So,
Now rewrite this given equation in the form of z = r(CosΘ + iSinΘ),
For this first calculate the modulus,
|Z| = √((5√3)² + 5²)
|Z| = √(25×3 + 25)
|Z| = √(100) = 10
And,
Argument, Θ = tan⁻¹ (b/a)
Θ = tan⁻¹ (5√3/5)
Θ = tan⁻¹ (√3)
Θ = 71
Therefore, the modulus increases by a factor of 10, and the argument increase by 5π/3.
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Answer:
Step-by-step explanation:
What additional information is needed to prove
Answers
Answer:
i think its b
Step-by-step explanation:
Answer:
Choice B.
Step-by-step explanation:
BC ≅ FE.
You need 2 sides and the included angle to be congruent.
8x-4+6x+15
I’ll give brainliest
if you answer!
Answers
Answer:
14X + 11
Step-by-step explanation:
Artie, growing a mustache? Looks good.
- Hear about Frankie?
- Yeah.
- You going to the funeral?
- No, I'm not going.
Everybody knows,
sting someone, you die.
Don't waste it on a squirrel.
Such a hothead.
I guess he could have
just gotten out of the way.
I love this incorporating
an amusement park into our day.
That's why we don't need vacations.
Boy, quite a bit of pomp...
under the circumstances.
- Well, Adam, today we are men.
- We are!
- Bee-men.
- Amen!
Hallelujah!
Students, faculty, distinguished bees,
please welcome Dean Buzzwell.
Welcome, New Hive Oity
graduating class of...
...9:15.
That concludes our ceremonies.
And begins your career
at Honex Industries!
Will we pick ourjob today?
I heard it's just orientation.
Heads up! Here we go.
Keep your hands and antennas
inside the tram at all times.
- Wonder what it'll be like?
- A little scary.
Welcome to Honex,
a division of Honesco
and a part of the Hexagon Group.
This is it!
Wow.
Answers
Answer:
Definitely not math but English
Step-by-step explanation:
WILL M BRAINLIEST
WILL GIVE 9000 points do have
first one right will mark brainliest :):):):):):):) !!!!!!!
M means Mark
8+7–22 Response area 3² + 2 is it = to or no
Answers
i am pretty aure its one
URGENT, WILL MARK BRANLIEST!!! PLEASE HELP PHOTO BELOW
Find the measure of Angle DBE then find the measure of ∠ABD?
Answers
Answer:
DBE=50 degrees
ABD=140 degrees
Step-by-step explanation:
CA is a line which means that it equals 180 degrees total. Subtract the other angle measurements to find that DBE is 50 degrees. Then add the angles DBE, EBF, and FBA. Hope this helps!
Exponential function f(x) passes through the points (3,6) and (7,18) determine the value of F(20)To the nearest integer
Answers
Answer:
A generic exponential function can be written as:
f(x) = A*e^(b*x)
Where A and b are real numbers, that we need to find.
We know that the points (3, 6) and (7, 18) are solutions to the equation, then we have that:
A*e^(b*3) = 6
A*e^(b*7) = 18
This is a system of equations, to solve this we can take the quotient between the two equations, so we remove the variable A.
(A*e^(b*7))/(A*e^(b*3)) = 18/6
e^(b*7)/e^(b*3) = 3
e^(b*7 - b*3) = 3
e^(4*b) = 3
Now we can apply the Ln(x) to both sides, because:
Ln(e^y) = y
then:
Ln(e^(4*b)) = Ln(3)
4*b = Ln(3)
b = Ln(3)/4
Then we have:
f(x) = A*e^(Ln(3)/4*x)
And we can use one of the equations to find the value of A. for example:
6 = A*e^(Ln(3)/4*3)
6/e^(Ln(3)/4*3) = 2.632
Then the exponential function is:
f(x) = 2.632*e^(Ln(3)/4*x)
Then we have that:
f(20) = 2.632*e^(Ln(3)/4*20) = 639.576
Rounding to the next integer, we have:
f(20) = 640
An exponential function can represent growth or decay.
The value of f(20) is 673
An exponential function is represented as:
[tex]y = ab^x[/tex]
At point (3,6), we have:
[tex]6 = ab^3[/tex]
At point (7,18), we have:
[tex]18 = ab^7[/tex]
Divide both equations
[tex]\frac{18}{6}= \frac{ab^7}{ab^3}[/tex]
[tex]3= b^4[/tex]
Take 4th roots of both sides
[tex]\sqrt[4]{3}= b[/tex]
Rewrite as:
[tex]b = \sqrt[4]{3}[/tex]
[tex]b = 1.32[/tex]
Substitute 1.32 for b in [tex]6 = ab^3[/tex]
[tex]a(1.32)^3 = 6[/tex]
[tex]2.30a = 6[/tex]
Divide both sides by 2.3
[tex]a = 2.61[/tex]
So, the function is:
[tex]y =2.61(1.32)^x[/tex]
When x = 20, we have:
[tex]y =2.61(1.32)^{20[/tex]
[tex]y =673[/tex]
Rewrite as:
[tex]f(20)=673[/tex]
Hence, the value of f(20) is 673
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Answers
Hey there!
The answer you're looking for is C.
Answer:
c
Step-by-step explanation:
Marco bought 5 movies for $53. 10. Vance bought 3 movies for $31. 71. Who got the better deal?
Answers
Answer: Vance.
Step-by-step explanation: Vance got the better deal. this is because Marco bought 5 movies, and paid $53.10. Vance paid $31.71, and saved $2.50, because 53.10 rounds to 50, and 31.71 rounds to 30, and Vance added $1.71, and Marco added $3.10, making Vance get the better deal.
Question 3 of 8
Which of the following statements contain a variable? Check all that apply.
A. Half the area of the roof.
B. Sixteen feet long.
C. The number of people added to the group.
D. She ran 40 yards.
SUBMIT
Answers
Answer:
A. and C.
Step-by-step explanation:
We don't know the area of the roof or the number of people in the group so they would both be represented by variables in an equation.
use synthetic division to solve (3x^4+6^3+2x^2+9x+10)/(x+2). what is the quotient
Answers
Answer:
The quotient is:
[tex]3x^2-6x^2+14x-19[/tex]Please check the attached diagram.
Step-by-step explanation:
As this question involves proper formatting.
So, I am attaching the method in the attached diagram.
it's D because i did the test and got it right
:D
Answers
Answer:
ok
Step-by-step explanation:
Answer this please, if you don’t know, don’t answer. Thanks.
Answers
Answer:
1.
B swap the order of equation
2. yes, they are equivalent and yes, they give same solution
Step-by-step explanation:
What is y - 2 = 3(x – 7) written in standard form?
Choose 1 answer:
A) y - 2 = -3x + 21
B y = 3x + 23
с 3x +y - 23 = 0
D 3x + y = 23
Answers
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
[tex]y - 2 = 3(x - 7)[/tex]
[tex]y - 2 = 3x - 21[/tex]
Add sides 2
[tex]y - 2 + 2 = 3x - 21 + 2[/tex]
[tex]y = 3x - 19[/tex]
Subtract sides 3x
[tex] - 3x + y = - 3x + 3x - 19[/tex]
[tex] - 3x + y = - 19[/tex]
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
finding missing angles <3
Answers
Answer:
angle 1: 92
angle 2: 24
angle 3: 64
angle 4: 35
angle 5: 81
the lines are parallel, if one line has the slope of -1, what is the slope of the other line
Answers
Answer:
-1
Step-by-step explanation:
parallel lines always have the same slope
The scatterplot below shows the relationship between the maximum height in feet, x, of several roller coasters and their top speed in miles per hour, y. Describe the direction, form, and strength, as well as any unusual observations .
A) The association between maximum height and top speed is positive, linear, and strong. There are no unusual observations.
B)The association between maximum height and top speed is positive , linear, and strong. There is one unusual observation at approximately (170, 150) .
C) The association between maximum height and top speed is positive, nonlinear, and strong. There is one unusual observation at approximately (170, 150) .
D) The association between maximum height and top speed is positive, linear, and moderate. There are no unusual observations.
E) The association between maximum height and top speed is positive, nonlinear, and moderate . There is one unusual observation at approximately (170 , 150)
Answers
Answer:
b
Step-by-step explanation:
i took the test
For 0° ≤ x < 360°, what are the solutions to cos(StartFraction x Over 2 EndFraction) – sin(x) = 0?
Answers
Answer:
C
Step-by-step explanation:
Ed2021
The solutions of the given trigonometric equation are 60°, 180°, 300°.
What is a trigonometric equation?A trigonometric equation is an equation that consists of one or multiple trigonometric ratios of unknown angles.
The given trigonometric equation is:
cos (x/2) - sin (x) = 0
⇒ cos (x/2) - 2sin (x/2) cos (x/2) = 0
⇒ cos (x/2) [1 - 2sin (x/2)] = 0
Therefore, cos (x/2) = 0 = cos (90°) (x/2 can't be 270°)
⇒ x = 180°
Again, [1 - 2sin (x/2)] = 0
⇒ 2sin (x/2) = 1
⇒ sin (x/2) = 1/2
⇒ (x/2) = 30°, 150°
⇒ x = 60°, 300°
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I have no Idea of what to write, my teacher never taught me this. Please help
Answers
Answer:
24
Step-by-step explanation:
hope this help if it dont sorry i tried
find the distance between PQ. P(3,4) and Q(6,8)
25
20
15
5