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andriy [413]
3 years ago
15

Lisa used 1/4 cups of milk per batch using her muffin recipes. How many cups of Milan will she use when she made 6 batches of mu

ffins?
Mathematics
1 answer:
marin [14]3 years ago
7 0

Answer:

1 1/2

Step-by-step explanation:

1/4 cups * 6 batches = 1/4 * 6 = 6/4 = 1 2/4 = 1 1/2

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Approximate the sum of the convergent infinite series the least usingnumber of terms so that the error is less than .0001. What
____ [38]

Solution :

$\sum_{n=1 }^{\infty } \frac{(-1)^n}{n ! 2^n}$           $a_n= \frac{(-1)^n}{n ! 2^n} \ \ \ \ \ a_{n+1}= \frac{(-1)^{n+1}}{(n+1) ! 2^{n+1}}$

Error = $|a_{n+1}|$

Error ≤ 0.0001

$|\frac{(-1)^{n+1}}{(n+1)!2^{n+1}}| \leq 0.0001$

$|\frac{1}{(n+1)!2^{n+1}}| \leq 10^{-4}$

$(n+1)! 2^{n+1} \geq 10000$

Now try, n ≥ 5

$\sum_{n=1 }^{\infty } \frac{(-1)^n}{n ! 2^n}$   = $\sum_{n=1 }^{5 } \frac{(-1)^n}{n ! 2^n}$         (with error 0.0001)

 

$\sum_{n=1 }^{\infty } \frac{(-1)^n}{n ! 2^n}$   = $\frac{-1}{1!2}+\frac{1}{2!2^2}-\frac{1}{3! 2^3}+\frac{1}{4! 2^4}-\frac{1}{5! 2^5}$

$\sum_{n=1 }^{\infty } \frac{(-1)^n}{n ! 2^n}$ = 0.6065104

3 0
3 years ago
Find the sum.<br><br> + 1.5<br> + 3.9<br><br> A) 4.14<br><br> B) 41.4<br><br> C) 5.4<br><br> D) 0.54
Natalija [7]

Answer:

5.4

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
PLEASE HELP ASAP! WILL GIVE BRAINLIST!
agasfer [191]

Answer:

f(x) = 10x - 2x + 4.

Step-by-step explanation:

This is linear  because the degree of x  is 1.

The others have degree 2 , degree 3 and degree -1.

(f(x) = 2/x = 2x^-1)).

4 0
3 years ago
Need help fast!!! 15 points!!
GrogVix [38]
C. Y = 3/10x + 1/2
....................
8 0
3 years ago
Please help! (I'll give brainliest to the first right answer.)
a_sh-v [17]

Answer:

1. 2,3; -2, 3

2. Both points share common values, but their absolute values for the x-value vary.

3. 2,3; 2, -3

4. Both points share common values, but their absolute values for the y-value vary.  

Step-by-step explanation:

For 1, the answer is thus:

-On the graph, the original point is 2, 3.

-A reflection over the y-axis changes the x-value, so it would be -2,3.

Similar for the next chart:

-The initial point is 2,3.

-A reflection over the x-axis changes the y-value, so the reflected point would be 2, -3.

The explanation is:

Both points have similar values except with differences in the absolute value.

Hope this helps you.  

3 0
3 years ago
Read 2 more answers
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