9:
-q^2 - r^2 + 3s
-9^2 - -6^2 + 3(-20)
-9^2 = -9 * -9 = 81
81 - -6^2 + 3(-20)
-6^2 = -6 * -6 = 36
81 - 36 + 3(-20)
3(-20) = -60
81 - 36 + -60
81 + 36 = 117
117 + (-60)
117 - 60= 57
57
10:
3| x + y |^2 - (xy)^2
3| 3 + -5 |^2 - (3-5)^2
(3-5) = 2
3| 3 + -5 |^2 - 2^2
|3 + -5| = 8
3|8|^2 - 2^2
8 * 8 = 64
3(64) - 2^2
2^2 = 2*2 = 4
3(64) - 4
3*64 = 192
192 - 4 = 188
188
11:
2x^2 - 5xy - y^3
2(-3)^2 - 5(-3-2) - -2^3
(-3-2) = -5
2(-3)^2 - 5(-5) - -2^3
-3^2 = -3 * -3 = -9
2(-9) - 5(-5) - -2^3
2^3 = 2 * 2 * 2 = 8
2(-9) - 5(-5) - 8
18 - 5(-5) - 8
5(-5) = -25
18 - (-25) - 8
18 + 25 - 8
18 + 25 = 43
43 - 8 = 35
35
12: -a^2 + 7b^4 -2c^3
—4^2 + 7(-2)^4 - 2(-3)^3
4^2 + 7(-2)^4 - 2(-3)^3
4 * 4 = 16
16 + 7(-2)^4 - 2(-3)^3
-2 * -2 * -2 * -2 = 16
16 + 7(16) - 2(-3)^3
-3 * -3 * -3 = -27
16 + 7(16) - 2(-27)
7 * 16 = 112
16 + 112 - 2(-27)
2 * -27 = -54
16 + 112 - -54
16 + 112 + 54
112 + 16 = 128
128 + 54 = 182
182
Answer:
25
Explanation:
We are given the sequence formula expression;
ax = 3x + 4
You are to get the 7th term. This is gotten by substituting x = 7 into the expression as shown;
a7 = 3(7) + 4
a7 = 21 + 4
a7 = 25
Hence the seventh term of the sequence is 25
Answer:
1/1560
Step-by-step explanation:
The chance of you winning is 1/40, since there are 40 students and you are one of those students. Since, you cannot win again once you win once, you are eliminated. This leaves us with 39 people left. The chances of your friend being chosen out of the 39 people left is 1/39. Now you must multiply 1/40 and 1/39. After multiplying, you get 1/1560.
I don’t know the answer I’m sorry
Answer:
24 purple jelly beans
Step-by-step explanation:
We are told in the question that;
Lucas had a mix of red and purple jelly beans. There were 2 red jelly beans for every 3 purple jelly beans.
The results in a ratio
2:3
Where 2 represented red jelly beans
3 represented purple jelly beans
Total number of jelly beans = 40 jelly beans.
The number of purple jelly beans that we have =
3/( 2 + 3) × 40
= 3/5 × 40
= 3 × 8
= 24.
Hence, there are 24 purple jelly beans in the bag.