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pychu [463]
3 years ago
12

Zack had a grade of 90% on his geography test. If there were 70 points possible on the

Mathematics
2 answers:
sasho [114]3 years ago
7 0

Answer:

63 points

Step-by-step explanation:

70(.9)

63

olya-2409 [2.1K]3 years ago
6 0

Answer:

<h2><em><u>Brainliest plz</u></em></h2>

Step-by-step explanation:

70 points total

90% of the 70 points

70 x 90% = <u>63</u>

or

70 x 0.90 = <u>63</u>

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Find the taylor series for f(x) centered at the given value of a. [assume that f has a power series expansion. do not show that
Bond [772]

Taylor series is f(x) = ln2 + \sum_{n=1)^{\infty}(-1)^{n-1} \frac{(n-1)!}{n!(9)^{n}(x9)^{2}  }

To find the Taylor series for f(x) = ln(x) centering at 9, we need to observe the pattern for the first four derivatives of f(x). From there, we can create a general equation for f(n). Starting with f(x), we have

f(x) = ln(x)

f^{1}(x)= \frac{1}{x} \\f^{2}(x)= -\frac{1}{x^{2} }\\f^{3}(x)= -\frac{2}{x^{3} }\\f^{4}(x)= \frac{-6}{x^{4} }

.

.

.

Since we need to have it centered at 9, we must take the value of f(9), and so on.

f(9) = ln(9)

f^{1}(9)= \frac{1}{9} \\f^{2}(9)= -\frac{1}{9^{2} }\\f^{3}(x)= -\frac{1(2)}{9^{3} }\\f^{4}(x)= \frac{-1(2)(3)}{9^{4} }

.

.

.

Following the pattern, we can see that for f^{n}(x),

f^{n}(x)=(-1)^{n-1}\frac{1.2.3.4.5...........(n-1)}{9^{n} }  \\f^{n}(x)=(-1)^{n-1}\frac{(n-1)!}{9^{n}}

This applies for n ≥ 1, Expressing f(x) in summation, we have

\sum_{n=0}^{\infinite} \frac{f^{n}(9) }{n!} (x-9)^{2}

Combining ln2 with the rest of series, we have

f(x) = ln2 + \sum_{n=1)^{\infty}(-1)^{n-1} \frac{(n-1)!}{n!(9)^{n}(x9)^{2}  }

Taylor series is f(x) = ln2 + \sum_{n=1)^{\infty}(-1)^{n-1} \frac{(n-1)!}{n!(9)^{n}(x9)^{2}  }

Find out more information about taylor series here

brainly.com/question/13057266

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3 0
1 year ago
A box of granola bars has 26 bars. If 7 friends split the bars equally, how many bars will be left?
Vinvika [58]

It will be 5 because 7x3 is 21, minus 26 to 21 is 5, won't be 7x4=28 and that's greater than 26

6 0
3 years ago
12 x+12y = 156<br> 4x + 6y =62 I need help please
mojhsa [17]

Answer:

{x,y}={8,5}

Step-by-step explanation:

12x + 12y = 156  4x + 6y = 62

8 0
3 years ago
Find the length of WR<br><br>If M &lt;WCR = 49 and CR = 7. What is WR
UkoKoshka [18]
We know that
if ∠WCR=49°
then 
measure arc WR=49°-------> by central angle

circumference C=2*pi*r
for r=7 in
C=2*pi*7-----> 43.96 in

if 360°(full circle) has a length of----------> 43.96 in
 49°---------------> x
x=49*43.96/360-----> x=5.98 in

alternative method 
applying the formula
L=(∅/360°)*2*pi*r
where
∅ is the angle in degrees
r is the radius
L=(49°/360°)*2*pi*7------> L=5.98 in

the answer is
5.98 in 
4 0
3 years ago
Read 2 more answers
The 7 a.m. flight from Dallas to Chicago is on time 75% of the time. Fran created this spinner to simulate the scenario.
Elena-2011 [213]

Answer:

CORRECT OPTION is (C) The flight will be late on one of the three days.

Step-by-step explanation:

The 7am flight from Dallas to Chicago is on time 75% of the time.

A spinner with four sections was created by Fran to simulate this scenario.

Since the 4 sections were equal, it means each section was 25% of the spinner.

3 sections were shaded. That implies 25 × 3 = 75% of the spinner was shaded area.

This coincides with the 75% probability that the flight is on time on a given day.

In other words, if the spinner's pointer lands on shaded area, the flight will be on time. If the pointer lands on an unshaded portion, the flight will be late.

Now Fran spun the spinner 3 times so she has 3 outcomes. The outcomes are:

- Shaded   - Shaded   - Unshaded

CORRECT OPTION is (C) The flight will be late on one of the three days.

4 0
2 years ago
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