how would you differentiate this problem using the quotient rule?
A cylinder has a volume of 371.776 cubic centimeters. The diameter of the cylinder is 8 cm. What is the height of the cylinder? (Assume = 3.14)
Cylinder volume formula:
V=πr^2h
Substitute given values into the formula
Note: use 3.14 for pi
Diameter is twice the radius, so if diameter is 8 then radius is 4
371.776 = (3.14)(4^2)h
Use h for height because we don't know the height
Okay, so let's try to get the h by itself on the left side of the equation
So begin by getting rid of 3.14 by dividing it by both sides
371.776/3.14 = 118.4
3.14/3.14 = 1 (don't put 1, just remove the 3.14 from the right side)
So now we have:
118.4 = 4^2(h)
Now we can get rid of 4^2
Start by actually squaring it and then divide it from both sides
118.4 = 16(h) (4^2 = 16)
118.4/16 = 7.4
16/16 = 1 (dont put 1, just drop it)
So now we have
7.4 = h
Now we have h by itself! So h = 7.4
let's test it by putting it in the cylinder volume formula
V = πr^2h
371.776 = (3.14)(4^2)(7.4)
371.776 = (3.14)(16)(7.4)
371.776 = 50.24(7.4)
371.776 = 371.776
7.4 is your answer, if you have any questions, feel free to ask
I'm not quite sure about this question, can someone please help.
So the right answer is 78.57 in^2.
Look at the attached picture
Hope it will help you
Good luck on your assignment
what is the answer to 6a-15< 2(3a+4)?
Answer:
3a<38
Step-by-step explanation:
The figure is made of rectangular prisms. What is the volume?
Answer:
So the first step is to do times the l that is 18 then times the width that is 6 after that times the height that is 12. The other number is from the other side so you have to times the other number too. So the answer will be c.
Step-by-step explanation:
As we the the formula for a rectangular prism is l*w*h
Answer:
2,160cm³
Step-by-step explanation:
Good luck kiddos :)
Another khan academy question
First off, notice that this is a right triangle.
You can use this to help write equation.
Equation : x+ (4x-85)=90. The correct answer is "c"
3. Fine the value of x.
A) 3.5
B)7
C) 5
D)10
Answer:
I would say B
Step-by-step explanation:
I think
You are wakeboarding on a river. You travel 2 miles downstream to a marina for supplies, and then you travel 3 miles upstream to a dock. The boat travels x miles per hour during the entire trip, and the river current is 3 miles per hour.
How long will the trip take when then speed of the boat is 18 miles per hour? Round to the nearest tenth minute.
Answer:
17.3
Step-by-step explanation:
(2+18)=(20mph*2miles)=6 minute
(18-2)=16mph*3miles=11.25
17.25
IQ scores are normally distributed with a mean of 100 and a standard deviation of 15. If a certain statistician has an of 122 , what percent of the population has a lower IQ?
A. 47%
B. 93%
C. 22%
D. 99%
E. 7%
Answer:
B. 93%
Step-by-step explanation:
Find the z-score:
z = (x − μ) / σ
z = (122 − 100) / 15
z = 1.47
Find the probability using a calculator or z-score table.
P(Z < 1.47) = 0.93
Help asap please ! Please explain too
Answer:
D) 35
Step-by-step explanation:
angles that are opposite are equal, so the 45 degree angles is in th triangle too. angles on a straight lines are equal to 180, so 180 - 80 = 100.
So far we have two of the angles, 100+45=145
Angles in a triangle are equal to 180, so 180-145 =35
vertically opposite angles are the same, so the ? is 35 degrees
Hope that helps
Find z 1 z 2 if z 1 = 3(cos37° + isin37°) and z 2 = (cos53° + isin53°
Answer:
[tex]Z_{1} Z_{2} = 3 i[/tex]
Step-by-step explanation:
Step(i):-
Given z 1 = 3(cos 37° + i sin 37°)
z 2 = (cos 53° + i sin 53°)
by using complex numbers
[tex]Z_{1} = r_{1} ( cos\alpha_{1} + isin\alpha_{1} ) = r_{1} cis\alpha _{1}[/tex]
[tex]Z_{2} = r_{2} ( cos\alpha_{2} + isin\alpha_{2} ) = r_{2} cis\alpha _{2}[/tex]
step(ii):-
now
[tex]Z_{1} Z_{2} = r_{1} r_{2} cis (\alpha _{1} + \alpha _{2})[/tex]
z ₁ = 3(cos 37° + i sin 37°) = 3 c i s 37°
z ₂ = (cos 53° + i sin 53°) = c i s 53°
we will use formula
[tex]Z_{1} Z_{2} = r_{1} r_{2} cis (\alpha _{1} + \alpha _{2})[/tex]
[tex]Z_{1} Z_{2} = 3 X 1 cis (37 + 53) = 3cis (90) = 3 cis(\frac{\pi }{2} )[/tex]
[tex]Z_{1} Z_{2} = 3(cos(\frac{\pi }{2} ) + isin(\frac{\pi }{2}))[/tex]
[tex]Z_{1} Z_{2} = 3(0 + i (1)) = 3 i[/tex]
Conclusion:-
[tex]Z_{1} Z_{2} = 3 i[/tex]
Answer:
2i
Step-by-step explanation:
z 2 = 2/3(cos53° + isin53°
I got it right on odyssey ware
What do you add to 2 2/9 to make 4
Answer:
I believe 1 7/9 will give you 4
I WILL GIVE YOU BRAINLIEST, AND 30 POINTS SO PLEASE HELP ME, IT'S URGENT!
Answer:
Answer is option b)
[tex] {(x - 3)}^{2} + {(y - 4)}^{2} = 400[/tex]
Your guess was right.
Step-by-step explanation:
[tex]the \: question \: states \: that \: \\ distance \: between \: two \: points \: is \: 20 \: units \: \\ and \: the \: two \: points \: are \: (x,y) \: \: and \: \: (3 ,- 4) \\ distance \: formula \\ = \sqrt{ {(x1 - x2) }^{2} + {(y1 - y2)}^{2} } \\ on \: substituting \: the \: values \: in \: formula \\ 20 = \sqrt{ {(x - 3)}^{2} + {(y - ( - 4))}^{2} } \\ 20 = \sqrt{ {(x - 3)}^{2} + {(y + 4)}^{2} } \\ now \: squaring \: on \: both \: sides \\ 400 = {(x - 3)}^{2} + {(y + 4)}^{2} \\ hence \: the \: answer \: is \: option \: b)[/tex]
HAVE A NICE DAY!
THANKS FOR GIVING ME THE OPPORTUNITY TO ANSWER YOUR QUESTION.
billy wishes to find the equation of a circle. this time however he only knows the end of the diameter are located at (12, 17 ) and (8, -1). below is the equation he came up with. Which part of the equation is incorrect?
Answer:
Y-8
Step-by-step explanation:
The length of a rectangle is twice its width. If the width is 10, what is the area? Can you help me? Please?
Answer:
Area is 200
Step-by-step explanation:
First off since it said that the width is 10, We add another 10 to the length, making it 20.
Next, you multiply 20 and 10 together,
Giving you 200.
I hope I was helpful!
Answer:
200
Step-by-step explanation:
the formula for area is length * width you would 10 * 200
The price of a car is £15400 before it is reduced by 8%.
How much does it cost after the reduction?
Answer:
14168
Step-by-step explanation:
15400 / 100 x 8 = 1232
1232 = 8%
15400 - 1232 = 14168
There are 30 marbles in a bag. You randomly choose 20 marbles from the bag. The results are shown in the table. Predict the total number of red marbles.
Color
Blue 6
Red 12
Yellow 2
There are about how many red marbles?
Answer:
12 because if you add 6 and 12
Step-by-step explanation:
hope it helps uou !!
Answer:
It's 12
Step-by-step explanation:
hope it helps you !!
Substitute x and y in the equation
What is the surface of a box 8“ x 7“ x 2“
Answer:
172 inches squared
Step-by-step explanation:
(8 x 7)2= 112
(7 x 2)2= 28
(8 x 2)2= 32
32 + 28+ 112
172 inches squared
help rsm 2.1/x+1 4/5=3/10x
Answer:
two minus one times .........
The solution to the equation is x = 7, -1.
What is a quadratic equation?The equation of the form ax² + bx +c is known as a quadratic equation.
The given equation is 2.1/x + 1 (4/5) =(3/10)x.
Simplify the equation as follows:
2.1/x + 1 (4/5) =(3/10)x
2.1/x + 9/5 = (3/10)x
2.1 + (9/5)x = (3/10)x²
21 + 18x = 3x²
3x² - 18x -21 =0
3x² - 21x + 3x -21 =0
3x(x - 7) + 3(x - 7) =0
(x - 7)(3x + 3) =0
x - 7 =0 or 3x + 3 =0
x = 7 or x = -1
Hence, the solution to the equation is x = 7, -1.
Learn more about the quadratic equations:
https://brainly.com/question/17177510
#SPJ2
Lily wants to buy a new smartphone. She has $500 to spend. List three ways she can get a good deal.
Answer:
get a coupon find a cheap on or steal it or get a discountAnswer:
She could use coupon deals, she could research what stores have it cheapest, see what deals online has
Factor. 125x^3-64y^3
Answer:
= 5x - 4y
Step-by-step explanation:
125x³- 64y³
= 5x - 4y
Answer:
Hello,
(5x)^3 - (4y)^3
Step-by-step explanation:
125 = 5^3
64 = 4^3
125 x^3 - 64 y^3 = (5x)^3 - (4y)^3
The square of 9 less than a number is 3 less than the number. What is the number?
-12 or 7
-12 or -7
- 7 or 12
7 or 12
Answer:
Let the number be x, then (x - 9)^2 = x - 3
x^2 - 18x + 81 = x - 3
x^2 - 19x + 84 = 0
(x - 12)(x - 7) = 0
x = 12 or 7
Step-by-step explanation:
select the one answer. (x+5)-4y
Answer:
B) The sum of x and 5 subtracted by 4 times y.
Step-by-step explanation:
(x + 5) = the sum of x and 5
- = subtracted by
4y = 4 times y
"The sum of x and 5 subtracted by 4 times y).
B) is your answer.
~
Answer:
B/the second one
Step-by-step explanation:
PLEASE HELP FAST
Which transformation preserves size and shape. Choose ALL correct answers
A) Dilations
B) Rotations
C) Translations
D) Reflections
Question 2
Which transformations preserve orientation?
A) Translations
B) Rotations
C) Reflections
D) Dilations
Answer:
A) Dilation C)Reflections or B) Rotations
Step-by-step explanation:
Which point is the centroid of the triangle?
Question 5 options:
A)
D
B)
G
C)
F
D)
C
Answer:
The answer is B) G
Step-by-step explanation:
G is at the center of the triangle. It is a centroid because it is where all the medians meet.
A pizza parlor charges $18 for a plain pizza and charges $0.75 for each additional topping.
Which of the following best models the cost of a pizza?
y = 18x +0.75
y = 13.5x + 18
y = 180.752
O y = 0.75x + 18
Answer:
the last one
Step-by-step explanation:
well you have 18 pizzas total, and each topping is 0.75. so let's say u want two toppings you would do 75 ×2 and so on, you would label the question
Y= 0.75x + 18
Why are the units of area squared? How does this help us remember the formula for area of a circle?
Answer:
Area is a size measurement of a two-dimensional surface. Those dimensions (x and y) are perpendicular to each other, and thats why it is squared.
The figure below is a net for a rectangular prism. Side a = 22 inches, side b = 18 inches, and side c = 11 inches. What is the surface area of this figure?
A. 1,430 square inches
B. 1,672 square inches
C. 4,356 square inches
D. 836 square inches
2 points
Cindy is painting her house. She paints 34 1/2 square feet in 3/4 hour. At
this rate, how many square feet can she paint each hour? *
Answer:
102 sqaure feet
Step-by-step explanation: