Answer:
<h2>
Step-by-step explanation:</h2><h2>|(5x-4)-3|<0.01</h2><h2>so -0.01<(5x-4-3)<0.01</h2><h2>add 7</h2><h2>7-0.01<5x<7+0.01</h2><h2>6.99<5x<7.01</h2><h2>divide by 5</h2><h2>1.398<x<1.402</h2>
Answer:
250 batches of muffins and 0 waffles.
Step-by-step explanation:
-1
If we denote the number of batches of muffins as "a" and the number of batches of waffles as "b," we are then supposed to maximize the profit function
P = 2a + 1.5b
subject to the following constraints: a>=0, b>=0, a + (3/4)b <= 250, and 3a + 6b <= 1200. The third constraint can be rewritten as 4a + 3b <= 1000.
Use the simplex method on these coefficients, and you should find the maximum profit to be $500 when a = 250 and b = 0. So, make 250 batches of muffins, no waffles.
You use up all the dough, have 450 minutes left, and have $500 profit, the maximum amount.
Answer:
The first four terms of the series are

= 14.25
Step-by-step explanation:
We know that
Sum of convergent series is also a convergent series.
We know that,

If the common ratio of a sequence |r| <1 then it is a convergent series.
The sum of the series is 
Given series,


The first four terms of the series are

Let
and 
Now for
,


It is a geometric series.
The common ratio of
is
The sum of the series



=10.5
Now for 


It is a geometric series.
The common ratio of
is
The sum of the series



=3.75
The sum of the series is 
= 
=10.5+3.75
=14.25
Answer:
z<24
Step-by-step explanation:
It can't be more than one value. All you do is subtract 35 from both sides to isolate z.
Hope this helped!
Since there are four suits, with each having a 4 and 5, we have 2+2+2+2=2*4=8