Simplifying the expression gives 36x^2 - 82x - 10 = 0
<h3>How to simplify the expression</h3>
Given the expression;
4x-5/3+2x=7+2/9x+2

Cross multiply

Expand the bracket

Collect like terms
36x^2 + 8x - 45x - 27x - 18x = 0
Add the like terms
36x^2- 82x - 10 = 0
Thus, simplifying the expression gives 36x^2- 82x - 10 = 0
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Answer:
18 degrees
Step-by-step explanation:
the figure is 90 degrees so to find the missing angle you use the the given information (72 degrees), so 90 - 72 = 18 and thats the missing angle
Answer:
Ther has been an increase in the selling time.
Step-by-step explanation:
Step 1. Specify the null hypotesis
In this case, we have to demonstrate that the selling time is now different than before the drought.

Step 2. Choose a significance level
In this problem, is 0.10
Step 3. Compute the mean
In this case, the mean of the sample is 94.
Step 4. Compute the probability value (p) of obtaining a difference between the mean of the sample and the hypothesided value of μ.

The degrees of freedom are calculated as (N-1) = (100-1) = 99. Then we can look up in the t-table (http://davidmlane.com/hyperstat/t-table.html) to calculate the probability value of a t of 1.818 with 99 degrees of freedom. The value of this probability is 0.05.
Step 5. Compare the P-value (0.05) with the significance level (0.10). Since the P-value is less than the significance level, the effect is significant.
Since the effect is significant, the null hypotesis is rejected.
It is concluded that the mean of the selling time has changed (increase) from its previous value.
Answer:
C) √5(cos(117°) +i·sin(117°))
Step-by-step explanation:
The rectangular number a+bi can be written in polar form as ...
√(a^2+b^2)×(cos(arctan(b/a)) + i·sin(arctan(b/a)))
Here, we have a=-1, b=2, so the magnitude is ...
√((-1)^2 +2^2) = √(1+4) = √5
and the angle is ...
arctan(2/(-1)) = arctan(-2) ≈ 116.565° . . . . . a 2nd-quadrant angle
Then you have ...
-1 +2i = √5(cos(117°) +i·sin(117°)) . . . . . . customary "polar form"
_____
Comment on the answer
The "polar form" is generally written as ...
(magnitude)·(cos(angle) +i·sin(angle))
You may also see it as ...
(magnitude) cis (angle) . . . . . . . where "cis" is shorthand for "cos + i·sin"
In my engineering courses, we often used the form ...
(magnitude) ∠ (angle)
The form used by my calculator is ...
(magnitude)·e^(i·angle) . . . . . where angle is usually in radians
Answer:
Step-by-step explanation:
8. 21+7 = 28
9. 73-17 =56