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
7.2
Work: 45% x 16=
(45/100) x 16=
(45x16) / 100=
720/100=
7.2
Hey!
Hope this helps...
~~~~~~~~~~~~~~~~~~~~~~~~~~
The first thing we know is that all the answers equal 99, so we cannot cross any answer off, however, what we want to know is what answer (after distribution) looks like 36 + 63...
A.) 11(3 + 6) > 33 + 66
Does 33+66 look like 36+63?
NO
B.) 9(4 + 7) > 36 + 63
Does 36+63 look like 36+63?
YES
C.) 11(4 + 5) > 44 + 55
Does 44+55 look like 36+63?
NO
D.) 3(15 + 18) > 45 + 54
Does 45+54 look like 36+63?
NO
So...
The answer is: B.) 9(4 + 7)
Hey there! I'm happy to help!
Let's convert the decimals to fraction form.
0.5=5/10=1/2
-1/7
-0.2= -2/10= -1/5
1/3
We know that the bigger the number in the denominator, the smaller the fraction is if the numerators are all the same.
First off, we have the negative numbers which are smaller than the other numbers. We have -1/7 and -1/5. We know that the 1/5 is a bigger fraction, but it is negatively bigger, so that is going to be the lesser number.
-1/5, -1/7
And with our bigger ones, we have 1/3 and 1/2. 1/2 is the bigger number here, so that will be the last one. Let's also be sure to convert back to our original forms! Here is our order :
-0.2, -1/7, 1/3, 0.5
Have a wonderful day and keep on learning! :D
Answer:
2,025
Step-by-step explanation:
Given:
Third term ar² = 45
Seventh term ar⁶ = 3,645
Find:
ar x ar³
Computation:
From 7th term / 3rd term
ar⁶ / ar² = 3,645 / 45
r⁴ = 81
r = 3
So,
ar² = 45
a(3)² = 45
a = 5
So,
ar x ar³
(5)(3) x (5)(3)³
2,025