Answers
Answer:
r = 3m
Step-by-step explanation:
Formula for the volume of a sphere: V = [tex]\frac{4}{3}[/tex][tex]\pi[/tex][tex]r^{3}[/tex]
We want to find the radius so we use algebra to rearrange the equation to make the radius (r) the subject of the equation
Divide both sides by [tex]\frac{4}{3}[/tex]
[tex]\frac{3V}{4}[/tex] = [tex]\pi[/tex][tex]r^{3}[/tex]
Divide both sides by [tex]\pi[/tex]
[tex]\frac{3V}{4\pi }[/tex] = [tex]r^{3}[/tex]
Take the cube root of both sides
[tex]\sqrt[3]{\frac{3V}{4\pi } }[/tex]= r
Substitute V = 36[tex]\pi[/tex] into the equation
r = [tex]\sqrt[3]{\frac{3(36\pi) }{4\pi } }[/tex]
Expand the bracket
r = [tex]\sqrt[3]{\frac{108\pi }{4\pi } }[/tex]
Divide 108[tex]\pi[/tex] by 4[tex]\pi[/tex] (For this, the two [tex]\pi[/tex] in the numerator and denominator cancel each other out, and you only need to divide 108/4)
r = [tex]\sqrt[3]{27}[/tex]
The cube root of 27 is 3, because [tex]3^{3}[/tex] = 3 x 3 x 3 = 27
r = 3
Related Questions
Which ordered pair is a solution of this
equation?
9x - y = -7
Click on the correct answer.
(-2,-2)
(2,2)
(-2,-1)
(-1,-2)
Answers
Answer:
(-1,-2)
Step-by-step explanation:
I graphed the equation on the graph below so you can see that (-1,-2) is a solution.
SOMEONE PLEASE HELP ME ASAP PLEASE!!!!
Answers
Answer:
132 degrees is the measure of angle ABC.
Step-by-step explanation:
ABD = 180 because it is a straight line.
BCD = 48
ABD - BCD = 180 - 48
180 - 48 = 132
Answer:
ABC =132
Step-by-step explanation:
The two angles form a straight line so they add to 180
ABC + 48 = 180
Subtract 48 from each side
ABC +48-48 = 180-48
ABC =132
HELP ASAP 100 POINTS!!!
The table of values represents the function g(x) and the graph shows the function f(x).
Which statement about the functions is true?
1. f(x) is greater than g(x) for all values of x.
2. f(x) and g(x) have the same y-intercept.
3. f(x) and g(x) intersect at two points.
4.f(x) and g(x) have a common x-intercept.
Answers
===========================================================
Explanation:
For me, it helps to graph everything on the same xy coordinate system. Start with the given graph and plot the points shown in the table. You'll get what you see in the diagram below.
The blue point C in that diagram is on the red parabola. This point is the x intercept as this is where both graphs cross the x axis. Therefore, they have a common x intercept.
------------
Side notes:
Choice 1 is not true due to choice 4 being true. We have f(x) = g(x) when x = 2, which is why f(x) > g(x) is not true for all x.Choice 2 is not true. Point B is not on the parabola.Choice 3 is not true. There is only one known intersection point between f(x) and g(x), and that is at the x intercept mentioned above. Of course there may be more intersections, but we don't have enough info to determine this.Mai bought eleven 12-ounce bags of
walnuts. How many pounds of walnuts did
she buy? (16 ounces = 1 pound)
Answers
Answer:
8.25 pounds
Step-by-step explanation:
When you multiply 12 and 11 you get 132. So then you would have to divided the total amount of ounces by 16 to get the amount of pounds
let g(x) = 2x and h(x) = x^2 + 4. Find the value. (hog)(-2)
Answers
Answer:
Step-by-step explanation:
(h o g) (-5) means the composition of the two functions, or h [ (g(-5) ].
This is, you first calculate g(-5) and then h [ g (-5) ].
So, g ( -5) = 2 * ( - 5) = - 10
And h (-10) = (-10)^2 + 4 = 100 + 4 = 104.
Which symbol correctly compared these two fractions
Answers
Answer:
>
Step-by-step explanation:
Put the fractions in decimal
0.25 is greater than 0.167. Therefore, 2/8 is greater than 1/6
You can also use common denominators
Consider the equations of the two lines below:
Line A:
y=-3x - 7
Line B: y = x - 4
Are the lines Parallel, Perpendicular or Neither? Explain.
Answers
Answer:
Neither, they have a solution
Step-by-step explanation:
Use a sheet of graphing paper and graph the equation using the y-intercept and slope.
Points A B C and D lie on a line consecutively so that AB = BC = CD = 6in. Find the distance between the midpoints of segments AB and CD.
Answers
Answer:
Distance of segments AB and CD = 12
Step-by-step explanation:
AB+BC + CD = 6+6+6 = 18inch
midpoint AB = 6/2 = 3
midpoint CD =6/2 = 3
Midpoint AB+Midpoint CD = 3+3 = 6
To solve we just 18-6 = 12
Distance of segments AB and CD = 12
Answer:
its 12
Step-by-step explanation:
Distance of segments AB and CD = 12
4 (x − 1) − 4 (x + 2.5) = x − 6
Answers
Answer:
x = -8
Step-by-step explanation:
4 (x − 1) − 4 (x + 2.5) = x − 6
Distribute
4x -4 -4x -10 = x-6
Combine like terms
-14 = x-6
Add 6 to each side
-14+6 = x-6+6
-8 =x
Answer:
-8 =x
Step-by-step explanation:
4 (x − 1) − 4 (x + 2.5) = x − 6
4x -4 -4x -10 = x-6 (Distribute )
-14 = x-6 (Combine like terms )
-14+6 = x-6+6 (Add 6 to each side)
-8 =x
I hope this helps!
Help!
Janella has her hair styled and wants to tip her stylist 18%. Write an equation that could be used to calculate the tip, y, for a bill total of x dollars.
Answers
Answer:
10( 3/4x * 9/500y ) = 10
Step-by-step explanation:
We know 18% can also be found
when we take the x amount 75 x 0.18 = 13.50
We thereafter find 75-13.50 = 61.50 for Janella's hair cost plus $13.50 tip.
But for x = 750 x 9/500 = 10
We find 13.50 = 10
x= 1.5
18% coincidentally is 13.5 and 13.5 x 1.5 = 18
So we could redesign and use 18 in the equation
An equation that could be used to calculate the tip, y, for a bill total of x dollars is y=0.18x.
Given that, Janella has her hair styled and wants to tip her stylist 18%.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
Let the tip be y and total bill be y.
So, tip y = 18% of total bill x
⇒ y = 18% of x
⇒ y = 18/100 × x
⇒ y = 0.18x
Therefore, an equation that could be used to calculate the tip, y, for a bill total of x dollars is y=0.18x.
To learn more about an equation visit:
https://brainly.com/question/14686792.
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11. Britney wants to bake at most 0 loaves of bread for a bake sale.
She wants to make banana bread that sells for $1.25 each and
nut bread that sells for $1.50 each and make at least $24 in sales.
Write a system of inequalities for the given situation and
the inequalities.
Answers
Answer:
Look at the attachment
What is Two-thirds divided by one-sixth? An area model with 4 shaded parts and 2 unshaded parts. The shaded parts are labeled two-thirds. 2 3 4 6
Answers
Two thirds divided by one sixth is 4
Answer:
It is number four
Step-by-step explanation:
please help, will give brainliest
Answers
Answer:
4/7
Step-by-step explanation:
4/7 is squared and then square rooted, changing nothing.
14. What's 17/12 as a mixed number?
O A.15/12
O B.1 127
O C.1/12
O D.712
Answers
Answer:
A
Step-by-step explanation:
17/12 = 1 5/12
1×12+5=17
What is the volume of a triangular prism 5m 13m 6m
Answers
Answer: 195
Step-by-step explanation: 5*13*6=390
390/2=195
Answer:
195
Step-by-step explanation:
The graphs below have the same shape. What is the equation of the red
graph?
Answers
Answer:
A
Step-by-step explanation:
Since the shape of both graphs is the parent parabola form, and g(x) is just shifted up 2 instead of 5, its equation is [tex]2-x^2[/tex], or answer choice A. Hope this helps!
Helllp please someone
Answers
Answer: -920
Step-by-step explanation:
-447 - 473 = -920
In this case, smaller means more negative
Answer:
-920
Explanation:
To solve this problem, you simply need to subtract 473 by negative 447. Here is how you solve:
-447 - 473
- (447 + 473)
-920
Therefore, the new dot was on -920.
Karim began his day by drinking 1 cups of milk at breakfast. By the end of the day, he drank a total of 2
1
cups of milk.
3
Which equation and solution correctly represent the amount of milk in cups, m , Karim drank after breakfast?
Answers
Answer:
Equation:
21 = 1 + m
Solution:
20 = m
Step-by-step explanation:
What we know:
Karim drank 1 cup of milk at breakfastKarim drank a total of 21 cups of milkm = the amount of milk, in cups, Karim drank after breakfastWe know that Karim drank 21 cups of milk in a day. In an equation, that would look like this:
21 =
What does 21 equal?
The amount of milk Karim drank at breakfast plus the amount of milk Karim drank after breakfast.
21 = milk at breakfast + milk after breakfast
Let's substitute what we know into this equation:
21 = milk at breakfast + milk after breakfast
21 = 1 + m
Now that we have our equation, let's solve.
21 = 1 + m
-1 -1
20 = m
Therefore, Karim drank 20 cups of milk after breakfast.
Help asap PLEASE, dhdbhehf
Answers
Answer:
3
Step-by-step explanation:
Alternate Interior Angles are a pair of angles on the inner side of each of those two lines but on opposite sides of the transversal. In this example, these are two pairs of Alternate Interior Angles: 2 and 3
Two lines are intersecting. What is the value of x?
Answers
Answer:
51
Step-by-step explanation:
by linear pair
(2x+4)+(x+23)=180
2x+4+x+23=180
3×+27=180
3x=180-27
x=153/3
×=51
Answer:
Step-by-step explanation:
2x + 4 + x + 23 = 180 {linear pair of angles}
3x + 27 = 180
3x = 180 - 27
3x = 153
x = 153/3
x = 51°
A pyramid with base area of 16sq cm and height of 30cm
Answers
b*h/3 is the formula to find the volume (or area whichever it is) of a pyramid so it will be 16 times 30 divided by 3 which would get u to 480/3 which would then get u to 160 cm
is ABC similar to DEF why or why not
Answers
Answer:
They are not similar
Step-by-step explanation:
Whenever two shapes are similar, they must have corresponding equal measure angles. Since two of the angles in these triangles are slightly different, they cannot be similar since the side lengths will now have unequal proportions. Hope this helps!
someone help me with this !!!
Answers
Answer:
150°
Step-by-step explanation:
to find the individual angle of a REGULAR dodecagon (which means that all sides are equal), you'd use the equation I(individual angle)= (n-2)×180/n
N is number of sides. The number of sides on a dodecagon is 12. So, substitute N for 12
I= (12-2)×180/12 which simplifies to 10×180/12
10×180= 1800
1800/12 = 150
so, an individual interior angle of a dodecagon is 150°
Please explain how you got your answer( worth 10 points)
Answers
(Number of beds)lwh/soil cubed
*substituted*
4 x 10 x 5 x 1.5/1.5
(4x10)
40 x 5 x 1.5/1.5
(40 x 5)
200 x 1.5/1.5
(Here you can do two things continue with current bedmas, or get rid of things that cancel each other out)
*continuing*
(200 x 1.5)
300/1.5
200
Therefore
She would need 200 bags
If you canceled things out you would emidiatly have 200
Please let me know if my work is incorrect and I’ll correct is ASAP
NEED HELP ASASP WILL GIVE YOU BRAINLIEST
Which of the triangles are right triangles?
3
01
5
8
Answers
Answer:
2.
5 x 5 = 25
4 x 4 = 16
25 + 16 = 41
You need to square root but it is already included
Hope this helps
Step-by-step explanation:
what is the sqaure root of 64?
Answers
Answer: 8
Step-by-step explanation:
Find the value of x that makes line m parallel to line
n.
(4x - 23)
n
{
(2x + 17)
Answers
Answer:
20
Step-by-step explanation:
If lines m and n are parallel, then the labelled angles would be considered alternate exterior angles. By definition, such angles are of the same value.
Thus, we set the two expressions of 4x - 23 and 2x + 17 equal:
4x - 23 = 2x + 17
Subtract 2x from both sides and add 23 to both sides:
2x = 23 + 17 = 40
Divide by 2:
x = 40/2 = 20
The answer is thus 20.
~ an aesthetics lover
Answer:
[tex]x=20[/tex]
Step-by-step explanation:
Alternate exterior angles are a pair of equal angles on opposite sides of the transversal.
[tex]4x-23=2x+17[/tex]
[tex]4x-23+23=2x+17+23[/tex]
[tex]4x=2x+40[/tex]
[tex]4x-2x=2x+40-2x[/tex]
[tex]2x=40[/tex]
[tex]\frac{2x}{2}=\frac{40}{2}[/tex]
[tex]x=20[/tex]
find the sum -1/3+(-5/9)
Answers
Answer:
-8/9
Step-by-step explanation:
First of all you have to make -1/3 into a fraction that you can add with (-5/9).
-1/3 turns into -3/9.
-3/9 + (-5/9) is -8/9
Answer:
[tex] - \frac{8}{9} [/tex]
Step-by-step explanation:
We know that,
[tex]( + ) \times ( - ) = ( - )[/tex]
lets solve
[tex] - \frac{1}{3} + ( - \frac{5}{9} ) \\ - \frac{1}{3} - \frac{5}{9} \\ = \frac{ - 1 \times 3 - 5}{9} \\ = \frac{ - 8}{9} [/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
How many degrees does the protractor show for the given angle
A. 35
B. 175
C. 175
D. 15
Please help with this I need help with it
Answers
Answer: 15 degrees
Step-by-step explanation:
180 degrees - 165 degrees = 15 degrees
Please help! Find x, if x^2=2018·2020+1 and x<0.
Answers
Answer:
-2019
Step-by-step explanation:
Well you can calculate it.
2018 * 2020 + 1 = 4076361
Square root is 2019.
Since x is negative, the answer is -2019
An equation is a mathematical assertion that is made up of expressions connected by an equal signal. as an instance, 3x – five = sixteen is an equation. solving this equation, we get the fee of the variable x as x = 7.
What are equations and variables?A variable is used to symbolize something unknown. for instance x, y, z. An expression no longer has an identical signal. as an instance 4 + 10. An equation is made up of 2 expressions and has an identical signal.
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