Volume of a cube = (edge)^3
In this problem,
Volume = 216in^2
Edge = ?
Let's plug our values into the formula above.
216in^3 = (edge)^3
Take the cbrt of both sides.
6in = edge
The length of each edge = 6in
Answer:
[tex]\boxed {\tt 6 \ centimeters}[/tex]
Step-by-step explanation:
The volume of a cube can be found using the following formula:
[tex]v=s^3[/tex]
where [tex]s[/tex] is the side length, or edge.
We know the volume is 216 cubic inches. We can substitute 216 cm³ in for [tex]v[/tex], the volume.
[tex]216 \ cm^3 = s^3[/tex]
We want to find the side length. Therefore, we must isolate the variable, [tex]s[/tex].
s is being cubed. The inverse of a cube is the cube root. Take the cube root of both sides of the equation.
[tex]\sqrt[3]{216 \ cm^3} =\sqrt[3]{s^3}[/tex]
[tex]\sqrt[3]{216 \ cm^3} =s[/tex]
[tex]6 \ cm=s[/tex]
The length of each edge of the cube is 6 centimeters.
0/2020
Print Assessment
Which is a list of irrational numbers from least to greatest?
8.
A.
B.
I./8, v
18.
1. VB
18.1
C.
D.
9.
Which expression(s) is (are) equivalent to
Answer:
The first option
Step-by-step explanation:
First, we can convert all of the numbers to decimal from (it will be easier to understand that way).
[tex]\pi = 3.14\\\\\sqrt{8} = 2.82\\\frac{\sqrt{2} }{4} =.353[/tex]
Now, we can easily see which numbers are bigger/smaller.
7(1 - 2n) < 33 - n
solve the inequality
show work
Answer:
n > -2
Step-by-step explanation:
7(1 - 2n) < 33 - n
7 - 14n < 33 - n
Subtract 7
-14n < 26 - n
Add n
-13n < 26
Divide by -13
n > -2
Answer:
n > -2
Step-by-step explanation:
Distribution property:
7 - 14n < 33 - n
Bring n over:
7 - 13n < 33
Bring 7 over:
-13n < 26
n > -2
which of these comparisons is correct?
A. -2 < -5
B. 0 > 2
C. 4 > -4
D. -6 < -5
¿Cuál de las siguientes fracciones algebraicas se puede reducir?
A.
8−x9−16x2
B.
5−x25−x2
C.
x2+4x−5x2−4
D.
3x2x2+8
A building casts a shadow 47 feet long. At the same time, a 38‐foot‐tall flagpole casts a shadow 9.4 feet long. What is the height of the building?
210 feet To answer this question you need to know the ratio of shadow with the actual object. In this case, 42 feet flagpole cast 9.4 feet shadow. Then the ratio is:
42feet/9.4 feet= 4.468
That means the actual height is 4.468 times of shadow length. After that, you can multiply the ratio with the shadow to know the object actual size. It would be: 47 feet x 4.468= 210 feet.
HELP PLEASE
Please find the angle measure . Do not use the degree symbol.
Please classify as acute, obtuse, right, or straight . No capital letters please.
Answer:
acute
Step-by-step explanation:
Answer the question please
What is the easiest way to learn math?
Answer: being positive
Step-by-step explanation:try to take math as your favorite subject and just let the negative thought about math Flow away..try to listen to the teacher keenly as u do in your best subject
Gina has 2/3 pounds of apples. Jane has 3/5 pound of apples. Gina and Jane want to combine their apples to make an apple pie. The recipe calls for 1 1/2 pounds of apples. How many pounds of apples do they need for their pie? Show all work.
Answer:
Step-by-step explanation:
1. 3x5=15
2. 2x5=10 and 3x3=9
3 10/15 + 9/15= 19/15 or 1 and .3 so they need approx .2 more pounds
Identify all properties being shown: (5x^3 + 2) + 7x^2 = (7x^2 + 5x^3) + 2
Answer:
No solutions
Step-by-step explanation:
5x^3 + 2 + 7x^2 = 7x^2 + 5x^3 +2
125x + 2 + 49x = 49x + 125x + 2
-125x -125x
2 + 49x = 49x + 2
-2 -49x -49x -2
0 = 0
Hope this helped :)
The unit price of hot dogs is $0.50/hot dog. How much will 12 hot dogs cost?
Answer:
Price of 1 hotdog= $0.50
Price of 12 hotdogs=12x$0.50= $6.0
Hope it helps :)
12 hot dogs will cost $6
12*0.5=6
Construct a square whose area is
36 cm²
If the original rectangle has an area of 2 cm squared and the scaled copied has an area of 50 cm squared what is the scale factor used to draw the scaled copy
Answer:
The scale factor used to draw the scaled copy is a factor of 5
Step-by-step explanation:
Here, we are interested in calculating the scale factor which was used to transition the original rectangle to the new scaled copy.
Firstly, there is a way to relate how the scale factor of the sides relate to the scale factor of the area. What we are saying here is that the scale factor of the sides is never equal to that of the area;
For a 2 cm^2 area let’s say the sides are 1 by 2 ; this gives us an area as said
Now, to get 50cm^2, we can see that the scale factor of both areas is 25 (2 to 50)
So the area has been scaled 25 times the original area. So how has the sides been scaled?
Using a general principle, the scale used to scale the area is the square of the scale used to scale the sides. What are we saying here? if the area is scaled by 4, then the sides are scaled by 2
So in this particular case, the area is scaled by a factor of 25
Now, the scale factor of the sides will be the positive square root of this which is 5
Hence, we can conclude that the sides of the smaller triangles were each multiplied by 5 to arrive at the sides of the bigger one which makes it that the scale factor used to draw the scaled copy is 5
slope 5/6, passes through (12,4)
Answer:
y= 5/6x -6
Step-by-step explanation:
[tex]m =\frac{5}{6} \\(12,4)=(x_1,y_1)\\\\[/tex]
Substitute values into point slope form
[tex]y-y_1 =m(x-x_1)\\\\y - 4 = \frac{5}{6} (x-12)\\\\y-4 = \frac{5}{6} x -10\\\\y=\frac{5}{6} x -10+4\\\\y = \frac{5}{6} x -6[/tex]
The equation of the line that has a slope of 5/6 and passes through (12, 4) will be y = 5/6) x - 6.
What is a linear equation?A relationship between two or more parameters that, when shown on a graph, produces a linear model. The degree of the variable will be one.
The linear equation is given as,
y = mx + c
Where m is the slope of the line and c is the y-intercept of the line.
The slope of the line is 5/6. Then the equation of the line will be
y = (5/6)x + c
The equation of the line is passing through (12, 4), then the value of c will be
4 = (5/6) 12 + c
4 = 10 + c
c = -6
Then the equation of the line will be y = (5/6)x - 6.
More about the linear equation link is given below.
https://brainly.com/question/11897796
#SPJ2
what's the distance between (-14,-18) and (-25,-23)
Answer:
the answer is 12.08
Step-by-step explanation:
Use the distance between point formula
what would be 30 +40
Answer:
70
Step-by-step explanation:
30 + 40 = 70
What is £36 in the ratio 2:1:1
Answer:
$18, $9, $9
Step-by-step explanation:
First get the sum of all the ratios 2+1+1 =4
Divide $36 by the sum of the ratios $36/4 =$9
Multiply each ratio by $9 to get each of the amount.
I. 2x$9= $18
ii. 1x$9= $9
Iii. 1x $9 = $9
Solve each using mental math.
Please help! Urgent!
Answer:
Distributive property is not applied currently in Step 1
Step-by-step explanation:
3(x + 15) = y
3x + 45 = y rather than 3x + 15 = y
atrain travel 120km in 3hour how long would it take to cover distance of 480km?
Answer:
It would take 12 hours to get to 480 km.
Step-by-step explanation:
if 120km is 3 hours meaning 40km per hour
that would mean that 40 x 12 = 480
1 hour = 40km
2 hours = 80km
3 hours = 120 km
Please help me I am confused- qwq
$162.50 because if you add the percentages together, you get 35%
If you subtract 35% off of 250, you get 162.50
9
Find the value of a*
(1 Point)
If the line y = 2ax + 3 is parallel to the line y = 4 - 6
Answer:
u can use desmos
Step-by-step explanation:
Given that f(x) = -x and g(x) = 2x - 1. Find the value of f(3) - 9(-4).
Answer:
f(3)= -3
g(-4)=2*(-4 ) -1 =-9
Step-by-step explanation:
Which equation correctly represents how this area model should be used? A) 500 + 140 + 160 + 50 = 850 B) 500 + 140 + 160 + 160 = 960 C) 600 + 160 + 150 + 40 = 950 D) 600 + 160 + 60 + 40 = 860 i neeeddd hhhhellllppppp
Answer:
Step-by-step explanation:
Approximately 2,094,800 people took a
vacation to a state park this year. 25
years ago 158,975 people vacationed to
state parks. Approximately how many
more people visited the park than 25
years ago?
Answer: 1935825
Step-by-step explanation:
x-6y<-12 in slope intercept form
X-6y<-12 in slope intercept form is y > 1/6X + 2
Write the equation for the transformation of f(x) = |x| as shown in the graph.
Answer:
f(x)= 3|x-3|+1
Step-by-step explanation:
Reason why it's not +3 is because it's the reverse when graphed. But that only applies for the numbers in the brackets. If it's in the brackets and it's positive, you go to the left. If it's negative, then it goes to the right. And as you see, the V isn't on the point (0 , 3), and is in fact, above it, by 1. The graph has also been stretched vertically by 3, it looks like. Hope that was helpful for you!
Answer:
y = 2|x-3| + 1
Step-by-step explanation:
The vertex of g(x) = |x| is at (0,0)
We have moved the vertex to ( 3,1)
y = f(x) + C C > 0 moves it up
y = |x| + 1 for the shift up 1
y = f(x + C) C < 0 moves it right
y = |x-3| for the shift to the right 3
y = Cf(x) C > 1 stretches it in the y-direction
y = 2|x| since it is stretched by a factor of 2 in the y direction
Combining
y =2|x-3| + 1
math 3- Piecewise defined function
Step-by-step explanation:
A piecewise function is a function built from pieces of different functions over different intervals. For example, we can make a piecewise function f(x) where f(x) = -9 when -9 < x ≤ -5, f(x) = 6 when -5 < x ≤ -1, and f(x) = -7 when -1 <x ≤ 9.
60% of a class studied for the quiz. 70% of the class passed the quiz. If 12 people did not study for the quiz, how many students passed the quiz
Answer:
21
Step-by-step explanation:
Answer:
21
Step-by-step explanation:
Let f(x) = 5x - 4 and g(x) = x^2- 1. Find (g•f)(0).
Answer:
[tex](g\cdot f)(0)=4[/tex]
Step-by-step explanation:
So we have the two functions:
[tex]f(x)=5x-4\text{ and } g(x)=x^2-1[/tex]
And we want to find:
[tex](g\cdot f)(0)[/tex]
This is the same as:
[tex]=g(0)\cdot f(0)[/tex]
So, find g(0) and f(0):
g(0):
Substitute 0 into g(x):
[tex]g(0)=(0)^2-1[/tex]
Square:
[tex]g(0)=0-1[/tex]
Subtract:
[tex]g(0)=-1[/tex]
And f(0):
Substitute 0 into f(x):
[tex]f(0)=5(0)-4[/tex]
Multiply:
[tex]f(0)=0-4[/tex]
Subtract:
[tex]f(0)=-4[/tex]
So, our equation is now:
[tex](g\cdot f)(0)=g(0)\cdot f(0)=(-1)\cdot(-4)[/tex]
Multiply:
[tex]=4[/tex]
So, our answer is 4.
And we're done!