Answer:
The answer to your question is -5k⁶
Step-by-step explanation:
Polynomial
- z³ + 5k⁶ - (-z³ + 10k⁶)
Use law of signs for the parenthesis
- z³ + 5k⁶ + z³ - 10k⁶
Use associative property for like terms
(-z³ + z³) + (5k⁶ - 10k⁶)
Simplify like terms
(0) + (-5k⁶)
Result
-5k⁶
Answer:
100
Step-by-step explanation:
In this problem 10 represents 9% of a number. So, to find 90% you must multiply 10 by 10. You do this because 9% times 10 equals 90%; therefore, 100 must be 90%.
This can also be proven through cross multiplication. To set up a proportion put the percent over the number like,
. Then cross multiply to get the equation,
. Finally, divide both sides to get x=100.
Answer:
5+2x14-9-1
5+28-9-1
38-9-1
29-1
28
Answer:
Below in bold.
Step-by-step explanation:
First find the height by use Pythagoras theorem on the right triangle:
h = sqrt (5^2 - 4^2)
= sqrt 9
= 3.
Volume of the prism = area of the triangle * length
= 1/2 * 3 * 4 * 10
= 1/2 * 12 * 10
= 60 cm^3.
Total area = area of 2 triangles + area 0f 3 rectangles
= 2 * 1/2 * 3 * 4 + 3 * 10 + 4 * 10 + 5 * 10
= 12 + 30 + 40 + 50
= 132 cm^2.
Answer:

Step-by-step explanation:
We can use basic probability to find the probability that this roll is not a factor of 35.
First off, we know that with a six sided die there are 6 possible things we can roll.
1, 2, 3, 4, 5, or 6
Now, what are the factors of 35? The factors of 35 will be any whole number that can be multiplied by another whole number to get 35.
- We know
, so two factors are 1 and 35. - We know
, so two factors are 5 and 7.
Therefore, the factors of 35 are 1, 5, 7, 35.
Both 5 and 7 are inside the range of 1-6. So the probability of rolling a side that's a factor of 35 will be
since there are two factors and 6 possible options.
This means, logically, there is a
chance of not rolling a factor of 35.
Hope this helped!