Answer:
Surface area of the cube = 216 square units
Step-by-step explanation:
Let the length of a side of a cube = x unit
Diameter of the sphere inscribed in this cube = length of a side of the cube
Volume of the sphere = [tex]\frac{4}{3}\pi r^{3}[/tex]
Where r = radius of the sphere = [tex]\frac{x}{2}[/tex] units
36π = [tex]\frac{4}{3}\pi (\frac{x}{2})^{3}[/tex]
36π = [tex]\frac{4x^{3}\pi }{24}[/tex]
36×24 = 4x³
x = [tex]\sqrt[3]{\frac{36\times 24}{4} }[/tex]
x = 6 units
Length of a side of the cube = 6 units
Surface area of the cube = 6×(Side)²
= 6×(6)²
= 216
= 216 square units
The midpoint of \overline{\text{AB}}AB is M(-2, 1)M(−2,1). If the coordinates of AA are (1, -2)(1,−2), what are the coordinates of BB?
Answer:
B=(-5, 4)
The coordinates of BB are (-5, 4)(-5,4)
Step-by-step explanation:
To solve, we will follow the steps below;
mid point = m(-2,1)
coordinates A is (1,-2)
To find the coordinates B
We will use the formula
([tex]x_{m}[/tex],[tex]y_{m}[/tex]) = ([tex]x_{1}[/tex] + [tex]x_{2}[/tex] /2 , [tex]y_{1}[/tex] +[tex]y_{2}[/tex]/2)
from the question
([tex]x_{m}[/tex],[tex]y_{m}[/tex]) = (-2,1)
this implies
[tex]x_{m}[/tex] = -2 [tex]y_{m}[/tex] = 1
Also
A([tex]x_{1}[/tex] , [tex]y_{1}[/tex]) B( [tex]x_{2}[/tex] ,[tex]y_{2}[/tex])
A(1, -2) B( [tex]x_{2}[/tex] ,[tex]y_{2}[/tex])
[tex]x_{1}[/tex]= 1 [tex]y_{1}[/tex] =-2
we are to look for [tex]x_{2}[/tex] and [tex]y_{2}[/tex]
[tex]x_{m}[/tex] = [tex]x_{1}[/tex] + [tex]x_{2}[/tex] /2
-2 = 1 + [tex]x_{2}[/tex] /2
multiply both-side by 2
-4 = 1+ [tex]x_{2}[/tex]
subtract 1 from both-side of the equation
-4-1 =[tex]x_{2}[/tex]
-5 = [tex]x_{2}[/tex]
[tex]x_{2}[/tex] = -5
Similarly,
[tex]y_{m}[/tex] = [tex]y_{1}[/tex] +[tex]y_{2}[/tex]/2
1 = -2+[tex]y_{2}[/tex]/2
multiply both-side of the equation by 2
2 = -2 +[tex]y_{2}[/tex]
add 2 to both-side of the equation
2+2 = -2+ 2 +[tex]y_{2}[/tex]
4=[tex]y_{2}[/tex]
[tex]y_{2}[/tex] = 4
The coordinates of BB are (-5, 4)(-5,4)
From Delta Math (-2,-7)
Each iron atom has a mass of about 9 x 1023 grams. Even a small grain of iron has an incredible number of atoms in. it--about 1 x 1018 atoms in one grain. Which of these is most similar to the number of atoms in a grain of iron?
Answer:
A- the number of people in a large stadium; about 1x10 ^5
Step-by-step explanation:
x + (-3) = -7
X=
Answer here
I
Answer:
[tex]x=-4[/tex]
Step-by-step explanation:
[tex]x-3=-7[/tex]
[tex]x=-7+3[/tex]
[tex]x=-4[/tex]
Answer:
X = -4
Step-by-step explanation:
X + -3 = -7
Add 3 to each side
X -3 +3 = -7+3
X = -4
please help as soon as possible
I WILL MARK YOU AS BRAINLIEST
Answer:
The answer is c
Step-by-step explanation:
Because she has two more nickles than dimes so the variable has to be c and the two more refers to (c+2)
if f(x)=x^2 is vertically stretched by a factor of 6 to g(x) amd reflected over the x-axis, what is the equation for g(x)
Select the equation that most accurately depicts the word problem.
5 pounds of potatoes at n dollars per pound costs $4.85.
Answer:
$4.85n = $24.52 where n = 5
If this doesnt match any of the equations, see if you can add the answer choices to your question
Which expression has exactly three terms? Select all the expressions that apply.
A. 3x
B. y^3
C. xyz
D. x+y+1
E. x+y+z
F. y^3−2y^2+y−1
G. 4x^3+10x^4−7x
H. ( x+1)( y−2 )( z+5 )
The answer is expressions D, E, and G.
In algebra, a ‘term’ usually means the different parts of an expression that are separated by + and - signs.
Options A and B only have 1 term, an x or y³, so these are incorrect.
Option C has 1 term as well, ‘xyz’, because they are all multiplied together which makes it one term.
D and E both have 3 terms each, but F has 4 unique terms so this is incorrect also.
G has 3 unique terms, x³, x^4, and 7x, so this is correct.
When H is expanded, you will end up with more than 3 unique terms, so this is incorrect.
I hope this helps!
Answer:
answers are x+y+1, x+y+z ,4x^3+10x^4-7x , ( x+1)( y-2 )(z+5 )
Formula for Fahrenhelt temperature F=32+ 9/5C For C
Answer:
[tex]C=\dfrac{5}{9}(F-32)[/tex].
Step-by-step explanation:
The formula for Fahrenheit temperature is
[tex]F=32+\dfrac{9}{5}C[/tex]
We need to write this formula for C.
Subtract 32 from both sides.
[tex]F-32=\dfrac{9}{5}C[/tex]
Multiply both sides by 5.
[tex]5(F-32)=9C[/tex]
Divide both sides by 9.
[tex]\dfrac{5}{9}(F-32)=C[/tex]
Therefore, the required formula is [tex]C=\dfrac{5}{9}(F-32)[/tex].
John earns
$59,800 a year. He is paid bi-weekly. What is his monthly pay?
Answer:
$4,983.33
Step-by-step explanation:
Bi weekly means every two weeks so he gets paid $2491.67 every two weeks. Multiply this by two and you get his monthly payment of $4,983.33
Please help me with my algebra.
Answer:
A
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
x+2y=3
5x-3y=2
Subtract 2y from both sides of the first equation to isolate x:
x=3-2y
Substitute this into the second equation:
5(3-2y)-3y=2
15-13y=2
y=1
x=1
Therefore, the correct answer is choice A. Hope this helps!
Which expression could be used to find the volume of the prism below?
A ( 2x8)
B (2x8) + (2x8)
C (2x8) x (2x8) x (2x8) x (2x8)
D (2x8) + (2x8) (2x8) + (2x8)
Answer:
I think its either C or D but im not very sure.
Step-by-step explanation:
Answer:
I think it’s b
Step-by-step explanation:
The top and the bottom
12. Which of the following are the coordinates of the vertex of y=-x+ 2x+ 1?
O Q, 1)
0 (-2, 1)
O (1, -2)
O (1, 2)
Answer:
Y=1
Step-by-step explanation:
i think thats right, im not fully sure
Let me know if i'm wrong :)
Choose the slope and y intercept that correspond with the graph
Answer:
slope=2/3 y-intercept is 1
Answer:
Slope: 2/3 y-intercept: 1
Step-by-step explanation:
The graph crosses the y-axis at 1 and goes right 3 and up 2. slope is rise over run so it rises 2 and runs 3.
plz answer this question will give you brainliest!!!
Answer:
1/10
Step-by-step explanation:
There is only one group with 2 numbers out of 4 who watched TV last night.
Which parent function is represented by the table?
1
0
0.
1
1
4
N
O A. f(x) = [X1
O B. f(x) = x
O c. f(x) = 2x
O D. Ax) = x2
Answer:
D
Step-by-step explanation:
the vertex is (0,0) , the axis of symmetry is x=0
The parent function represented by the table is f ( x ) = x²
What is a function rule?The function rule is the relationship between the input or domain and the output or range. A relation is a function if and only if there exists one value in the range for every domain value.
A function is a relation from a set of inputs to a set of possible outputs where each input is related to exactly one output.
Given data ,
Let the function be represented as A
Now , the value of A is given from the table of values as
Let the x values of the function be x = { -2 , -1 , 0 , 1 , 2 }
Now , the y values of the function is y = { 4 , 1 , 0 , 1 , 4 }
So , the function is a quadratic rule of the form .
y = x²
On simplifying , we get
f ( x ) = x² be equation (1)
Therefore , the value of A is f ( x ) = x²
Hence , the function is f ( x ) = x²
To learn more about function rule click :
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Here are the diameters of four coins: penny (1.9 cm), nickel(2.1cm), dime (1.8cm), quarter (2.4cm). A coin rolled about 33 cm in 5 rotations. Which coin is it? Use 3.14 for pi
Answer: Nickel
Step-by-step explanation:
Hi, to answer this we have to calculate the circumference of each coin:
C =π diameter.
Penny = 3.14 (1.9)= =5.96 cm
Nickel = 3.14 (2.1) =6.6 cm
Dime = 3.14 (1.8) =5.62 cm
Quarter = 3.14 (2.4) =7.53 cm
Since the coin rolled about 33cm in 5 rotations, it means that the circumference of the coin (x) multiplied by 5 is equal to the distance rolled.
5x=33
x =33/5 =6.6 cm
The coin is the nickel, because its circumference is equal to 6.6 cm.
(1+x)^6 expanded form
Answer:
Step-by-step explanation:
(1+x)^6 = (1+3)^3 x (1+3)^3
(1+3x+ 3x^2+x^3) x (1+3x+ 3x^2+x^3)
1+ 6x+15x^2+20x^3+15x^4+6x^5+x^6
Susie purchases a $13,000 car and plans to repay the loan by making monthly payments over the course of five years. The interest rate is 2.1%. Compute Susie's monthly payments using the amortization formula.
a) $228.43
b) $383.09
c) $479.72
d) $518.25
Solve the inequality for w.
49 > 41 +13
Answer:
greater than
Step-by-step explanation:
I need help please!!!
Write the inequality that best represents the relationship shown on this number line:
Answer:
x ≥ -1
Step-by-step explanation:
the red fully circle in -1 show that -1 is include
You find a car that is on sale for $13,000. It was originally $19,000. What is the percent change?
Answer:
( About ) % 31.58
Step-by-step explanation:
Consider the procedure below;
[tex]Increased Value = $ 19,000 - $ 13,000 = Difference ( $ 6000 ),\\\\Take Fraction of difference / Start Value = 6,000 / 19,000,\\( Percent ) = ( Around ) 31.58\\[/tex]
Thus, solution; ( About ) % 31.58
what is the answer: -4 - 2
First change -4 - 2 to -4 + -2.
Now we can use our number line to
help us visualize what's going on.
Starting at 0, -4 moves us 4 units to the left along our number line.
From there, another -2 moves us 2 more units to
the left along the number line and we end up at -6.
So -4 + -2 simplifies to -6.
Work shown below.
If fx) is a linear function, which statement must be true?
A. f(x) has no constant term.
B. f(x) has no x2-term.
C. f(x) has no terms with a coefficient other than 1.
D. f(x) has no x-term.
Answer:
B. f(x) has no x2-term.
will mark bianleast
A point's coordinates are changed from (–7, –2) to (7, –2). What impact does this have on the location of the point?
The location of the point remains the same.
It is reflected over the y-axis.
The location of the point is shifted to the left.
It is reflected over the x-axis.
Answer: The answer would be "It is reflected over the x-axis"
Step-by-step explanation: The location wouldn't remain the same because the 7 is now a positive #. The y-axis hasn't changed. It's still the same -2. The location of the point would move, but it wouldn't move the the left. It would move to the right, because the negative numbers on the x-axis are on the left hand side, while the positive numbers are on the right hand side
Answer:When you reflect a point across the x-axis, the x-coordinate remains the same, but the y-coordinate is transformed into its opposite (its sign is changed). If you forget the rules for reflections when graphing, simply fold your paper along the x-axis (the line of reflection) to see where the new figure will be located.
Step-by-step explanation:
[tex]$\text{PLZ HELP ASAP}$[/tex]
A debate team consists of five girls and four boys. (Everyone is distinguishable.) How many ways can they stand in line, so that at least two of the girls are standing next to each other? BTW the answer is not 17.
Answer: 9!-2880 = 360000.
Step-by-step explanation:
The Triangle ABC represents a landscaped area inside a square land parcel. AC is parallel to a side of the square. Find AB
Answer:
6√5
Step-by-step explanation:
ABC is right triangle
if the length of hypotenuse is 18 ft and base is 12 ft. then the side length would be
18^2 - 12^2 = AB^2
324 - 144 =√180
AB = 6√5
If a rectangle has a permeter of 72 yards and it’s width is 9 yards what is the length of the missing length
Answer:
27
Step-by-step explanation:
The perimeter is 2x + 2y
Say x = 9
18 + 2y = 72
2y = 54
y = 27
Answer:
The length would be 27 yards
Step-by-step explanation:
The perimeter formula is l+l+w+w.
plssss helpppp againnnn
Answer:
x = 34°
Step-by-step explanation:
To solve for 'x', we will need to use the Supplementary Angles theorem. This states that on a line, all angles must add up to 180°.
We can set up a simple algebraic equation to solve for 'x':
180 = x + 12 + 100 + x
180 = 112 + 2x **Combine like terms
68 = 2x **Divide both sides by '2'
x = 34°.
Therefore, the measure of ∠x = 34°.
Answer: x= 34
Step-by-step explanation:
x + 12 + 100 +x = 180 use the equation and combine like terms
2x + 112 = 180 subtract 112 from both sides
-112 -112
2x = 68 Divide both sides by 2
x = 34
Check: 34 + 12 +100 + 34 = 180
180 = 180
Martin deposits $700 into a savings account that gains interest at a rate of 5.5% annually. If he waits 7 years to withdraw the money, will he have earned more or less money than $275 and by how much?
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Use the multiplier 1.055
final = original x multiplier^n
where 'n' is the number of years
Sub the values in
final = 700 x 1.055^7
final = 1018.27
Subtract the values:
1018.27 - 700 = 318.27
Thus, he earns more than $275
He earns $43.27 more
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Below is a grid with four quadrants. Plot the following points, and connect them with line segments. Point A (-2,-4). Point B (3,4). Point C (3, -4) Now this question below is the question I need help with On the same grid paper above, transform your figure ABC using the rule (2x,2y) I already plotted points ABC now I need to answer this question which I forgot to do. Below is the screenshot of the question with the grid with the first points plotted
Answer:
i think the answer is b
Step-by-step explanation:
