Answer:
4/63
Step-by-step explanation:
Multiple: 2/
5
* 2/
7
= 2 · 2/
5 · 7
= 4/
35
Multiply both numerators and denominators. Result fraction keep to lowest possible denominator GCD(4, 35) = 1. In the following intermediate step, the fraction result cannot be further simplified by canceling.
In other words - two fifths multiplied by two sevenths = four thirty-fifths.
Multiple: the result of step No. 1 * 5/
9
= 4/
35
* 5/
9
= 4 · 5/
35 · 9
= 20/
315
= 4 · 5/
63 · 5
= 4/
63
Multiply both numerators and denominators. Result fraction keep to lowest possible denominator GCD(20, 315) = 5. In the following intermediate step, cancel by a common factor of 5 gives 4/
63
.
In other words - four thirty-fifths multiplied by five ninths = four sixty-thirds.
Hi!
30 = x
f(x) = -1/5x - 14 find x when f (x) = -8
Set the equation equal to -8
-8 = -1/5x - 14
Add 14 to both sides.
6 = -1/5x
Multiply both sides by -5.
30 = x
Hope this helps! :D
Start off with: -4 + (-3) + 6
First of all, when there is a, + sign and a - sign next to each other, the - side wins. E.g. 1 +- 3 = 1 - 3
So, apply this to our one:
-4 -3 +6
From there you solve, you can do this using the number line method or whatever you are into:
=-7 + 6
=-1
The answer is -1
The surface area of the table tennis ball will be around 1256.64 mm².
<h3>What is the sphere?</h3>
A sphere is a 3D geometrical object which has a radius and becomes a point that revolves around a fixed point called the center.
A sphere has surface area and volume based upon the radius of the sphere.
For example, if you have a sphere of radius r then its surface area will be 4πr² and volume will be (4/3)πr³.
The table tennis ball is the form of a sphere.
Given that,
The diameter of a table tennis ball is 20
Radius(r) = 20/2 = 10 mm
Surface area of an sphere = 4πr²
So,
Area = 4π(10)² = 1256.64 mm².
Hence "The surface area of the table tennis ball will be around 1256.64 mm²".
For more about a sphere,
brainly.com/question/9994313
#SPJ6
Answer:
The last choice, the graph.
Step-by-step explanation:
The 4 relations are:
A.
A set of ordered pairs.
This is not a function because 2 ordered pairs have the same x-coordinate, 1.
B.
Table.
All ordered pairs have 0 as the x-coordinate. Since the same x-coordinate appears more than once, it is not a function.
C.
x = 3y^2 - 7
This is a function of y, and it is a horizontal parabola, so it does not pass the vertical line test. It is not a function.
D.
The graph.
This is a function because it passes the vertical line test.
Answer: The last choice, the graph.