<em>25</em>
- <em>Step-by-step explanation:</em>
<em>Hi there !</em>
<em>6×7 - 3²×9 + 4³ =</em>
<em> 1. raise the numbers to power</em>
<em>= 6×7 - 9×9 + 64</em>
<em> 2. we perform the multiplications</em>
<em>= 42 - 81 + 64</em>
<em> 3. we perform addition and subtraction</em>
<em>= (42 + 64) - 81</em>
<em>= 106 - 81</em>
<em>= 25</em>
<em>Good luck !</em>
We have that
<span>y=2sinx-cosx
y=cosx
</span>over the interval 0≤x≤pi/2-------> 0≤x≤1.57
using a graph tool
see the attached figure
the solution in the given interval is the point (pi/4, 0.707)
the y-value of the point of intersection is 0.707 -----> √2/2
the answer is the option <span>
b. (square root of 2)/2</span>
The amount of decrease is $12.00 :$72.00 - $60.00 = $12.00
you then divide the amount of decrease by the original price to find the percent decrease:
$12.00 ÷ $72.00 = .166666... = 16.7%
<span>X(1+y)=z
Multiply x by 1 and y
x + xy=z
Divide y on both sides
x + x = z/y
Add x to x
2x = z/y
Divide 2 on both sides
Final Answer: x= z/y/2
Word Form: x equals z divided by y all over two.</span>
An inequality that represent the number of cans, c, that Jacob must still collect is
.
<u>Step-by-step explanation:</u>
Here we have , Jacob needs to collect at least 120 cans for a food drive to earn community service credit. He has already collected 64 items. We need to solve the following :
<u>Part A:
</u>
Write and solve an inequality to represent the number of cans, c, that Jacob must still collect.
Jacob has collected 64 cans . Jacob need to collect at least 120 cans for a food drive to earn community service credit , Let Number of cans that Jacob have to collect is c , So following is the inequality for above scenario:
⇒ 
⇒ 
⇒ 
Therefore , An inequality that represent the number of cans, c, that Jacob must still collect is
.