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My name is Ann [436]
3 years ago
7

Bicycles have 2 wheels an tricycles have 3. There are a total of 7 bicycles and tricycle. If there are 17 wheels in all how many

bicycles are there?
Mathematics
1 answer:
Anika [276]3 years ago
5 0
There are 7 bicycles and 1 tricycle
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Use the appropriate substitutions to write down the first four nonzero terms of the Maclaurin series for the binomial (1+3x)^(-1
PolarNik [594]

Answer:

First term=1

Second term=-x

Third term=2x^2

Fourth term =-\frac{28}{3!}x^3

Step-by-step explanation:

We are given that function

f(x)=(1+3x)^{-1/3}

We have to find the  first four non zero terms of the Maclaurin series for the binomial.

Maclaurin series of function f(x) is given by

f(x)=f(0)+f'(0)x+\frac{1}{2!}f''(0)x^2+\frac{1}{3!}f'''(0)x^3+....

f(0)=(1+3x)^{\frac{-1}{3}}=1

f'(x)=-\frac{1}{3}(1+3x)^{-\frac{4}{3}}(3)=-(1+3x)^{-\frac{4}{3}}

f'(0)=-1

f''(x)=\frac{4}{3}\times 3 (1+3x)^{-\frac{7}{3}}

f''(0)=4

f'''(x)=-4\times \frac{7}{3}\times 3(1+3x)^{-\frac{10}{3}}

f'''(0)=-28

Substitute the values we get

(1+3x)^{-\frac{1}{3}}=1-x+\frac{4}{2!}x^2+\frac{-28}{3!}x^3+...

(1+3x)^{-\frac{1}{3}}=1-x+2x^2+\frac{-28}{3!}x^3+...

First term=1

Second term=-x

Third term=2x^2

Fourth term =-\frac{28}{3!}x^3

5 0
3 years ago
Which expression represents a number that is four times as large as the sum of 8 and 160?
DedPeter [7]
ANSWER: x = 4 ( 8 + 160 )

STEP BY STEP:

Let's start by getting a variable to represent the number. Let's use x. ⇩

x=

Now we know that there is a sum of 8 and 160. Let's add them to each other ⇩

x= 8 + 160

Now we know that this will be multiplied. Let's put parentheses around the addition to symbolize this.

X= (8 + 160)

Finally multiply this by four, making your equation

x= 4 (8 + 160)

I don't know the options but from looking at the problem I'm assuming the answer is
x = 4 ( 8 + 160 )

8 0
3 years ago
The two-way relative frequency table shows the relative frequencies of late night workers and day workers who do or do not drink
MatroZZZ [7]
26.7 is your answer i hope that helps 

5 0
3 years ago
Read 2 more answers
What is the remainder when 599 is divided by 9?
Schach [20]
599=540+59=540+54+5=60(9)+6(9)+5
\implies\dfrac{599}9=66+\dfrac59

so the remainder is 5.
3 0
4 years ago
Read 2 more answers
Ashley has 6 books and 9 pencils. James has 12 pencils but is not able to determine the amount of books he has. The amount of bo
dsp73

Answer:

8 books

Step-by-step explanation:

First you need to find the ratio between 6 and 9

6/9 = 2/3

The ratio is 2/3

Now for James's case his denominator would be 12

x/12

To find the numerator you need to multiply the denominator by 2/3

12 * 2/3 = 8

There you go, the numerator is your answer

8 books and 12 pencils

Hope this helps :)

4 0
3 years ago
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