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Anettt [7]
3 years ago
13

I need help with finding the sum of (x^4 + 2x^3 - 7x - 9) + (x^5 - 2x^4 + 8x + 18) in standerd form

Mathematics
1 answer:
Lilit [14]3 years ago
3 0

Answer:

Step-by-step explanation:

(x^4 + 2x^3 - 7x - 9) +

(x^5 - 2x^4 + 8x + 18)

x^5 - x^4 + 2x^3 + x + 9

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Use the theorem in Sec. 28 to show that if f (z) is analytic and not constant throughout a domain D, then it cannot be constant
alexandr1967 [171]

Answer:

The value of f(z) is not constant in any neighbourhood of D. The proof is as explained in the explaination.

Step-by-step explanation:

Given

For any given function f(z), it is analytic and not constant throughout a domain D

To Prove

The function f(z) is non-constant constant in the neighbourhood lying in D.

Proof

1-Assume that the value of f(z)  is analytic and has a constant throughout some neighbourhood in D which is ω₀

2-Now consider another function F₁(z) where

F₁(z)=f(z)-ω₀

3-As f(z) is analytic throughout D and F₁(z) is a difference of an analytic function and a constant so it is also an analytic function.

4-Assume that the value of F₁(z) is 0 throughout the domain D thus F₁(z)≡0 in domain D.

5-Replacing value of F₁(z) in the above gives:

F₁(z)≡0 in domain D

f(z)-ω₀≡0 in domain D

f(z)≡0+ω₀ in domain D

f(z)≡ω₀ in domain D

So this indicates that the value of f(z) for all values in domain D is a constant  ω₀.

This contradicts with the initial given statement, where the value of f(z) is not constant thus the assumption is wrong and the value of f(z) is not constant in any neighbourhood of D.

6 0
2 years ago
Following are the number of grams of carbohydrates in a sample of 12-ounce espresso beverages offered at Starbucks. 6 , 9, 10, 2
marusya05 [52]

Answer:

x=6, 9, 10, 20, 22, 25, 27, 40 , 48, 59

i= 1,  2 , 3,  4,    5,   6,    7,   8,    9,    10

And as we can see here the position for x=40 is 8, so then we can calculate the percentile for 40 grams like this:

p=\frac{8}{10} *100 = 80

So the  the vale of 40 gr correspond to the 80th percentile of the data since accumulates 80% of the values below.

Step-by-step explanation:

We can define a percentile as "a value on a scale of 100 that indicates the percent of a distribution that is equal to or below it"

For this case we have the following data given:

6 , 9, 10, 20, 22, 25, 27, 40 , 48, 59

And we want to calculate the percentile for the value of 40 grams

Since the dataset is on increasing way there is no problem to calculate this percentile.

We see that we have a total of n =10 observations, and we can rank the position of each observation (i) like this:

x=6, 9, 10, 20, 22, 25, 27, 40 , 48, 59

i= 1,  2 , 3,  4,    5,   6,    7,   8,    9,    10

And as we can see here the position for x=40 is 8, so then we can calculate the percentile for 40 grams like this:

p=\frac{8}{10} *100 = 80

So the  the vale of 40 gr correspond to the 80th percentile of the data since accumulates 80% of the values below.

3 0
3 years ago
Show me how to solve step by step please
andrew-mc [135]

Answer:

188

Step-by-step explanation:

88 + 6= 94

94 + 94 = 188

188 divided by 2 = 94

94 - 6 = 88

88 was how much Paula paid

8 0
3 years ago
Test scores: Scores on a statistics exam had a mean of 75 with a standard deviation of 5. Scores on a calculus exam had a mean o
beks73 [17]

Answer:

CV for statistics exam = 15%

CV for calculus exam = 19%

Since the CV for calculus exam is higher, it has a greater spread relative to the mean than the statistics exam.

Step-by-step explanation:

To find coefficient variation we use the formula:

CV = (SD/mean) * 100

CV for the statistics exam:

where; SD= 5

mean= 75

CV = ( 5/75) *100

= 0.15 or 15%

CV for calculus exam

SD = 11

Mean= 58

CV= (11 /58) * 100

= 0.19 or 19%

8 0
3 years ago
There were 51 Elementary schools in Greenville County. Let's pretend that each elementary school at 805 students how many Elemen
aksik [14]

Answer:

  41,055

Step-by-step explanation:

If there are 805 students in each of 51 schools, the total number of students is ...

  (805 students/school) × (51 schools) = 41,055 students

_____

We have to assume that all of the students in the county go to county schools. Apparently, we are to ignore the students that are dropouts or homeschooled, or that go to schools not in the county.

3 0
3 years ago
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