Step-by-step explanation:
The difference quotient represents the slope of the line connecting two points on a curve. To achieve the most accurate estimate, we need to use points that are nearest to x = 0. For this problem, the relevant points are (-0.001, 1.999) and (0.001, 2.001).
m = (2.001 − 1.999) / (0.001 − (-0.001))
m = 1
How often does 245 fit into 8? none.
into 84? none.
into 843? 3
Thus, the initial digit of the quotient is 3. Multiply 245 by 3 to obtain 735. Subtract this number from 843, resulting in 108. How many times does 245 go into 108?
none. Bring down a zero, creating 1080. How many times does 245 fit into 1080? 4, leaving a remainder of 100. And so forth.
Please attempt to work through this problem independently, manually.
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245 / 8439.00
-735
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Can you complete this? Keep in mind that 843-735 equals 108. Now drop down a zero to make 1080. show your work.
The temperature increased by 29°C, which indicates a positive change of 29. Then, it decreased by 29°C, reflecting a negative change. The average temperature experienced equal increases and decreases, leading to identical absolute values and resulting in a difference of 0.
Answer:
The value equals 1
Step-by-step explanation:
Consider the expression
Recall that
For two complementary angles A and B (where A+B=90°),
the identity is
cos(A) = sin(B)
Here, 26° and 64° are complementary angles, so
Substituting values,
From this, we find
By substitution,
Answer:
The solution yields a number equal to -136.
Step-by-step explanation:
Let x represent the number, leading to the following equation:
x + 2 = 7/8 x - 15
Rearranging gives:
x - 7/8 x = -15 - 2
1/8 x = -17
x = -17 * 8 resulting in -136.
