Answer:
<em>x = 10</em>
Step-by-step explanation:
These angles are <em>same side interior angles</em>.
This means that (11x + 10) + (10x - 40) = 180
Solve for x:
11x + 10 + 10x - 40 = 180
21x - 30 = 180
+30 +30
21x = 210
/21 /21
<em>x = 10</em>
Answer:
A(t) = 300 -260e^(-t/50)
Step-by-step explanation:
The rate of change of A(t) is ...
A'(t) = 6 -6/300·A(t)
Rewriting, we have ...
A'(t) +(1/50)A(t) = 6
This has solution ...
A(t) = p + qe^-(t/50)
We need to find the values of p and q. Using the differential equation, we ahve ...
A'(t) = -q/50e^-(t/50) = 6 - (p +qe^-(t/50))/50
0 = 6 -p/50
p = 300
From the initial condition, ...
A(0) = 300 +q = 40
q = -260
So, the complete solution is ...
A(t) = 300 -260e^(-t/50)
___
The salt in the tank increases in exponentially decaying fashion from 40 grams to 300 grams with a time constant of 50 minutes.
2x + 3y = 1470
3y = -2x + 1470
y = -2/3x + 490 is the equation in slope intercept form.
slope = -2/3
y intercept = 490
Answer: 3
Step-by-step explanation:
The y intercept is where the line intercepts the y, or vertical axis.
In this case, the line and y axis intercept at 3.
Hope this helps!
Marcus would need to save for 24 weeks in order to purchase a new electronic keyboard.
<h3>Define the meaning of the equation?</h3>
A mathematical assertion in which you use mathematical symbols to demonstrate that two sums are equal.
As per specified data-
- Marcus wishes to save $378 so that he can purchase a new electronic keyboard.
- Every week, he saves $15.75 from his paycheck.
Let 'x' be the number of weeks required to complete the amount.
The equation becomes.
378 = 15.75x
For the number of week required.
x = 378/15.75
x = 24
Thus, Marcus would need to save for 24 weeks in order to purchase a new electronic keyboard.
To know more about the equation, here
brainly.com/question/14107099
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