________________________________
Hey!!
Solution,
Diameter=40 mm
Radius=40/2=20mm
Height=30mm
Volume of cylinder=?
Now,
Volume of cylinder=pi (r)^2 h
= 3.14*(20)^2*30
=3.14*400*30
=37,680 mm^3
So the right answer is of option A
hope it helps
Good luck on your assignment
__________________________________
Answer:
37,680 mm3
Steps:
Formula: Volume = Area * height
1: = (pi/4)*D^2 * h
2: = (pi/4)*(40)^2 * 30
3: = 37,680 mm3
Description:
We know that r is the radius and h is the height. So the
radius of the cylinder going to be r=40/2=20mm
Height of cylinder: 30mm
Meaning when you add up all the numbers answer will come as 37,680 mm3. So a is the right answer for this question.
Answer: A. 37,680 mm3
Please mark brainliest
Hope this helps.
x2+3x-4=0. Find a=, b=, and c=. thank you:)
Answer:
a=1 b=3 c=-4
Step-by-step explanation:
using almighty formular
a=1 b=3 c= - 4
find the minimum maximum and domain and range of the functions
h(x) = -x² + 4x - 2
Domain (-infinity,infinity)
Min(?
max(2,2)
The coordinate of point B is -6 and the coordinate of point E is 2.
Find the length of segment BE.
Answer:
4
Step-by-step explanation:
just because i just took it
Jane works 3 times as fast as Eleanor. If they work together they can do a job in 21 minutes. How long does it take Eleanor to do the job by herself?
Answer:
1 hour and 24 min
Step-by-step explanation:
Jane does 3/4 job done in 21 min
Eleanor does 1/4 job done in 21 min
21*4=84
60+24
1 hour and 24 min
The work rate when they work together is much higher than when Eleanor
does the job herself.
It will take 84 minutesReasons:
Jane's work rate = 3 × Eleanor's work rate
The time it takes both Jane and Eleanor to do a job = 21 minutes
Required:
The time it would take Eleanor to do the job herself.
Solution:
Let x represent the portion of the job performed by Eleanor in the 21
minutes, we have;
The portion performed by Jane = 3 × x
Therefore;
The job done when they work together for 21 minutes = x + 3·x = 4·x
The time it takes Eleanor to do the job portion, x = 21 minutes
Therefore;
The time it will take Eleanor to do a job of 4·x = 4 × 21 minutes = 84 minutes
The time it would take Eleanor to do the job herself = 84 minutesLearn more about work word problems here:
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Which expression is equivalent to RootIndex 3 StartRoot x Superscript 5 Baseline y EndRoot?
x Superscript five-thirds Baseline y
s Superscript five-thirds Baseline y Superscript one-third
x Superscript three-fifths Baseline y
x Superscript three-fifths Baseline y cubed
Answer:
The correct option is B:
B) x superscript five-thirds Baseline y superscript one-third
Step-by-step explanation:
The expression can be written as:
[tex]\sqrt[3]{x^5y}[/tex]
We know that cube root can also be written as the power of 1/3, So
[tex]\sqrt[3]{x^5y} = (x^5y)^{1/3}[/tex]
Multiplying the power with both variables
[tex](x^5y)^{1/3} = x^{5\cdot1/3}\cdot y^{1\cdot1/3}[/tex]
Simplifying the equation to get final form
[tex]x^{5\cdot1/3}\cdot y^{1\cdot1/3} = x^{5/3}\cdot y^{1/3}[/tex]
As we can see that it is similar to the option B which is
B) x superscript five-thirds Baseline y superscript one- third
the correct option is B
The expression which is equivalent to RootIndex 3 StartRoot x Superscript 5 Baseline y EndRoot is;
x Superscript five-thirds Baseline y Superscript one-thirdThe expression can be written as;
[tex] \sqrt[3]\frac{{ {x}^{5} } }{y} [/tex]
In essence, Upon simplification; we have;
x⁵ ^(1/3) × y^(-1/3)Therefore, we have;
x^(5/3) × y (-1/3)The expression therefore becomes;
[tex] \frac{ {x}^{ \frac{5}{3} } }{ {y}^{ \frac{1}{3} } } [/tex]
Read more on indices;
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f(x) = -4x2 + 12x – 9
What is the value of the discriminant of f?
How many x-intercepts does the graph of f have?
Answer:
[tex]D = 0[/tex]
The graph has 1 x-intercept
Step-by-step explanation:
Given
[tex]f(x) = -4x^2 + 12x - 9[/tex]
Required
- Discriminant of f
- Number of x intercepts
Let D represent the discriminant;
D is calculated as thus
[tex]D = b^2 - 4ac[/tex]
Where a, b and c are derived from the following general format;
[tex]f(x) = ax^2 + bx +c[/tex]
By comparing [tex]f(x) = ax^2 + bx +c[/tex] with [tex]f(x) = -4x^2 + 12x - 9[/tex]
We have
[tex]f(x) = f(x)\\ax^2 = -4x^2\\bx = 12x\\c = -9[/tex]
Solving further;
[tex]a = -4\\b=12\\c=-9[/tex]
So, D can now be calculated;
[tex]D = b^2 - 4ac[/tex] becomes
[tex]D = 12^2 - 4 * -4 * -9[/tex]
[tex]D = 144 - 144[/tex]
[tex]D = 0[/tex]
Hence, the discriminant of f is 0
From the value of the discriminant, we can determine the number of x intercepts of the graph;
When D = 0, then; there exists only one x-intercept and it as calculated as thus
[tex]x = \frac{-b}{2a}[/tex]
Recall that
[tex]a = -4\\b=12\\c=-9[/tex]
So, [tex]x = \frac{-b}{2a}[/tex] becomes
[tex]x = \frac{-12}{2 * -4}[/tex]
[tex]x = \frac{-12}{-8}[/tex]
[tex]x = \frac{12}{8}[/tex]
[tex]x =1.5[/tex]
Can someone helping me?
Answer:
11
Step-by-step explanation:
Graph in desmos by making a table then you're able to count more clearly
Answer:
Answer is option b) 11
Step-by-step explanation:
[tex]distance \: between \: two \: points \\ = \sqrt{ {(y2 - y1)}^{2} + {(x2 - x1)}^{2} } \\ here \: x1 = 4 \: \: \: and \: y1 = 6 \\ x2 = - 7 \: \: \: and \: y2 = 6 \\ = \sqrt{ {(6 - 6)}^{2} + { (- 7 - 4)}^{2} } \\ = \sqrt{ { - 11}^{2} } \\ = \sqrt{121} \\ = 11[/tex]
HAVE A NICE DAY!
THANKS FOR GIVING ME THE OPPORTUNITY TO ANSWER YOUR QUESTION.
What function is graphed below? y = - 1 y = 3 x y = x - 3 y = x + 3
Answer:
im confuised which one is a?
Step-by-step explanation:
Answer: y = x/3 -1
Step-by-step explanation: I also had this question so I know what graph you're talking about, but next time put a graph.
Which equations are equivalent to -1/4{X}=12 Select all that apply.
Answer:
2nd, 3rd and the last one
Using substitution to alive equation with two variables
Answer:
X=27
Step-by-step explanation:
-4•4= -16
Move -16 to the other side
3x=81
x=27
PLEASE HELP! FIRST CORRECT ANSWER WILL MARK BRAINLIEST!
A grocer wishes to blend two different coffee brands in order to make a blend of 400 pounds to sell at $3.00 a pound. If he uses a brand of coffee worth $2.70 a pound with another brand worth $3.20 a pound, how many pounds of each does he use?
Answer:
160 pounds at 2.70
240 pounds at 3.20
Step-by-step explanation:
Let x be the pounds and 2.70 per pound
400-x is the pounds and 3.20 per pound
there will be 400 pounds and 3.00 per pound
2.70 x + (400-x) *3.20 = 400 *3
Distribute
2.70x +1280-3.20x = 1200
Combine like terms
-.5x +1280 = 1200
Subtract 1280 from each side
-.5x = -80
Divide each side by -.5
x = -80/-/5
x =160
160 pounds at 2.70
400-160 = 240 pounds at 3.20
(: Please answer both questions :)
First person gets 50 points!
Answer:
1. 1350
2.2700
Step-by-step explanation:
Find the volume of this problem
Answer:
Step-by-step explanation:
diameter = 6 in
r = 6/2 = 3 in
h = 11 in
Volume of cylinder = πr²h
= 3.14*3*3*11
= 310.86 in³
Factor the perfect square trinomial x2 - 12x + 36.
Answer:
(x - 6)(x - 6)
Step-by-step explanation:
-6 + -6 = -12
-6 * -6 = 36
meaning -6 in in both
if you want to find x
x = 6
Answer:
6
Step-by-step explanation:
x2-12x+36=0
find a two numbers that add to -12 and multiply to 36
-6 and -6
(x-6)(x-6)=0
x-6=0 x-6=0
x=6 x=6
In the diagram below BD is parallel to AE, BE bisects angle ABD, angle E is 37 degrees, angle BFE = 117, what is angle C
Which pair of numbers is relatively prime?
Answer:
relatively prime. Two integers are relatively prime (or coprime) if there is no integer greater than one that divides them both (that is, their greatest common divisor is one). For example, 12 and 13 are relatively prime, but 12 and 14 are not.
Step-by-step explanation:
Answer:
Two integers
Step-by-step explanation:
Two integers are relatively prime.
can you please solve this!
Answer:
x = 8
Step-by-step explanation:
what point is located on the graph of any proportional relationship
Answer:
At the end
Step-by-step explanation:
what is the value of x if abc is equilateral
Answer:
d
Step-by-step explanation:
Since the triangle is equilateral then the 3 sides are congruent.
Equate any pair of sides and solve for x
AC = BC , that is
10x - 5 = 6x + 3 ( subtract 6x from both sides )
4x - 5 = 3 ( add 5 to both sides )
4x = 8 ( divide both sides by 4 )
x = 2 → d
A correct option is an option (d).
The given sides are,
AB=7.5x
AC=10x-5
BC=6x+3
As we know in an equilateral triangle all sides are equal then,
AB=AC=BC
[tex]AB=AC\\7.5x=10x-5\\-10x+7.5x=-5\\-2.5x=-5\\x=\frac{5}{2.5} \\x=2[/tex]
So, the correct option is an option (d).
Learn More:https://brainly.com/question/24585915
How many faces does the rectangular solid have?
8
2
6
4
Answer:
This rectangular solid has 6 faces.
Step-by-step explanation:
The four sides and the top and bottom equal 6 faces.
Answer:
the answer is 6
Step-by-step explanation:
just count them
please help me thanks
___________________________________
The right answer is of option C
so if we have to solve it then it will be:
5x+13x=180
or,18x=180
or,X=180/18
X=10
hope it helps
Good luck on your assignment
_______________________________
Answer:
C
Step-by-step explanation:
X is 10 so it is c
Hope this works
Evaluate this expression.
3^-2 ANSWER ASAP PLEASE
Answer:
0.11111111111
Step-by-step explanation:
Answer:
1/9 or 0.1 repeating
Step-by-step explanation:
Start by doing the inverse of the square root of 2 (that is the negative sign)
The inverse of 3^-2 is 1/3^2
Therefore, your answer is 1/9.
Hope this helps!
A certain pizza box holds a 14-inch diameter pizza. If the box is 2 inches high; what is its surface area?
2 in.
14 in.
2 in.
2 in.
14 in.
14 in.
528 in 2
504 in 2
196 in 2
392 in 2
Answer:
528 in²
Step-by-step explanation:
Look at the attached image to help layout all of the dimensions of the pizza box!
Let me know if you have any other questions and please rate my response and consider marking brainliest!!
pls help help me need help!! thank you!!
Answer: 55 feet of rope
Step-by-step explanation:
The absolute value of -30 is the distance 30 is away from 0, so |-30| = 30. And |25| = 25.
|-30| + |25| = 30 + 25 = 55
I will give the brainiest answer
Answer:
D
Step-by-step explanation:
This net when folded, will become a triangular prism, which is only represented by option D.
what is 2 with an exponent of negative 2 equal to?
Answer:
So since we have 2^-2 We can do 1/2^2 = 0.25
So if you have y^-x = 1/y^x
Answer:
1/4
Step-by-step explanation:
negative exponent rule says a ⁻ⁿ = 1/ aⁿ so:
2⁻² =1/2² = 1/4
A rectangular room is 2 times as long as it is wide, and its perimeter is 36 meters. Find the width of the room.
The width of the room is equal to 6 m
What is the area of the rectangle?The formula for area is equal to the product of the length and breadth of the rectangle. Whereas when we speak about the perimeter of a rectangle, it is equal to the sum of all its four sides.
Given here: Perimeter=36 m
Let the length of the room be 2x and width of the room be x
Then we have (2x+x)=36
x=12
Thus length =12m & width=6 m
Hence, the width of the room is equal to 6 m
Learn more about the perimeter here:
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What is the volume of a rectangular solid with a length of 12, a width of 3, and a height of 4?
Answer:
144
Step-by-step explanation:
L•w•h
12•4•3= 144
What is the solution to the equation? 5=2/5a
Lauren has 108 pieces of candy leftover from Halloween. She would like to distribute them evenly to the 9 kids on her block. Write an equation to show how many pieces of candy each kid will receive. Somebody please Help!
Answer:
108/9 = 12
Take the total amount of Candy (108) and divide it by the amount of people that will receive an equal amount (9). 108/9 = 12