Answer:
29/90
Step-by-step explanation:
Use the formula:
((DN x F) - NRP)/D
DN = Decimal Number
F = 10 if one repeating number, 100 if two repeating numbers, 1000 if three repeating numbers, etc.
NRP = Non-repeating part of decimal number.
D = 9 if one repeating number, 99 if two repeating numbers, 999 if three repeating numbers, etc.
((0.32 x 10) - 0.3)/9
= 2.9/9 = 29/90
Answer:
3√r = k/s²
s²r^1/3 = k
Step-by-step explanation:
Cube root of r = 3√r
Square of s = s²
cube root of r varies inversely with the square of s
3√r = k/s²
Cross product
3√r * s² = k
s²r^1/3 = k
Note:
r^1/3
= 3√r
Answer:
Step-by-step explanation:
1) Use Division Distributive Property: (x/y)^a = x^a/y^a.
2) Multiply both sides by 27^x - 8.
3) Use the product rule: x^a x^b = x^a+b.
4) Simplify 1 + x - 8 to x - 7.
5) Use Definition of Common Logarithm: b^a = x if and only if log<u>b</u><u> </u>(x) = a.
6) Use Change of Base Rule.
7) Use rule of 1: log 1 = 0.
8) Simplify 0/log_27 to 0.
9) Add 7 to both sides.
10) Switch sides.
<u>Therefor</u><u>,</u><u> </u><u>the</u><u> </u><u>answer</u><u> </u><u>is</u><u> </u><u>x</u><u> </u><u>=</u><u> </u><u>7</u><u>.</u>
Answer: Use the distributive property to multiply 3 by y−4.
3y−12−2(y−4)
Use the distributive property to multiply −2 by y−4.
3y−12−2y+8
Combine 3y and −2y to get y.
y−12+8
Add −12 and 8 to get −4.
Anwser:
y−4
Step-by-step explanation:
Hope this helps!
Answer:
75, 89, 91, 105, 107, 121, 123, 137
Step-by-step explanation:
If you analyze how much each number is increased, you will notice it alternates between adding 2, then adding 14:
11 + 14 = 25.
25 + 2 = 27.
27 + 14 = 41.
41 + 2 = 43.
43 + 14 = 57.
57 + 2 = 59.
59 + 14 = 73.
That means you can simply, finish the pattern, alternating between adding 2 and 14. Then you will get these answers.
