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3 years ago

What is the simplified expression of (3 + 4) - 2 + (6 ÷ 3) =

Mathematics

1 answer:

Nady [450]3 years ago

7 0

Following the rule of PEMDAS, we do the parentheses first, giving us:

7-2 + 2

Now, left to right!

5+2

Now just add!

Hope this helped :)

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Please need help!!!!

Valentin [98]

It's is true because 4 and 5are closer

8 0

2 years ago

<img src="https://tex.z-dn.net/?f=32.5%20%3D%2030%20%2B%20%20%5Cfrac%7B20%20-%20%2840%20%2B%20x%29%7D%7B12%7D%20%20%5Ctimes%2010

erastova [34]

Answer:

$x = - 23$

Step-by-step explanation:

$\frac{20 - (40 + x)}{12} \times 10 = 32.5 - 30 = 2.5$

$= > \frac{20 - (40 + x)}{12} = 0.25$

$= > \frac{20 - (40 + x)}{12} = \frac{1}{4}$

$= > 20 - (40 + x) = \frac{12}{4} = 3$

$= > 40 + x = 20 - 3 = 17$

$= > x = 17 - 40 = - 23$

7 0

2 years ago

(12 divided by 3) 2 – (18 divided by 3 2)) < (4 divided by 2)

gladu [14]

Answer:

$(12 \div 3)(2 - (18 \div 32) \\ = 4(2 - \frac{19}{16} ) \\ = 4( \frac{23}{16} ) \\ = \frac{23}{4} \\ since \: (4 \div 2) = 2 \\ \frac{23}{4} is \: not \: < 2 \: but \: its \: > 2$

4 0

2 years ago

Find T5(x) : Taylor polynomial of degree 5 of the function f(x)=cos(x) at a=0 . (You need to enter function.) T5(x)= Find all va

Burka [1]

Answer:

$\bf cos(x)\approx1-\displaystyle\frac{x^2}{2}+\displaystyle\frac{x^4}{4!}=\\\\=1-\displaystyle\frac{x^2}{2}+\displaystyle\frac{x^4}{24}$

The polynomial is an approximation with an error less than or equals to 0.002652 for x in the interval

[-1.113826815, 1.113826815]

Step-by-step explanation:

According to Taylor's theorem

$\bf f(x)=f(0)+f'(0)x+f''(0)\displaystyle\frac{x^2}{2}+f^{(3)}(0)\displaystyle\frac{x^3}{3!}+f^{(4)}(0)\displaystyle\frac{x^4}{4!}+f^{(5)}(0)\displaystyle\frac{x^5}{5!}+R_6(x)$

with

$\bf R_6(x)=f^{(6)}(c)\displaystyle\frac{x^6}{6!}$

for some c in the interval (-x, x)

In the particular case f

f(x)=cos(x)

we have

$\bf f'(x)=-sin(x)\\f''(x)=-cos(x)\\f^{(3)}(x)=sin(x)\\f^{(4)}(x)=cos(x)\\f^{(5)}(x)=-sin(x)\\f^{(6)}(x)=-cos(x)$

therefore

$\bf f'(x)=-sin(0)=0\\f''(0)=-cos(0)=-1\\f^{(3)}(0)=sin(0)=0\\f^{(4)}(0)=cos(0)=1\\f^{(5)}(0)=-sin(0)=0$

and the polynomial approximation of T5(x) of cos(x) would be

$\bf cos(x)\approx1-\displaystyle\frac{x^2}{2}+\displaystyle\frac{x^4}{4!}=\\\\=1-\displaystyle\frac{x^2}{2}+\displaystyle\frac{x^4}{24}$

In order to find all the values of x for which this approximation is within 0.002652 of the right answer, we notice that

$\bf R_6(x)=-cos(c)\displaystyle\frac{x^6}{6!}$

for some c in (-x,x). So

$\bf |R_6(x)|\leq|\displaystyle\frac{x^6}{6!}|=\displaystyle\frac{|x|^6}{6!}$

and we must find the values of x for which

$\bf \displaystyle\frac{|x|^6}{6!}\leq0.002652$

Working this inequality out, we find

$\bf \displaystyle\frac{|x|^6}{6!}\leq0.002652\Rightarrow |x|^6\leq1.90944\Rightarrow\\\\\Rightarrow |x|\leq\sqrt[6]{1.90944}\Rightarrow |x|\leq1.113826815$

Therefore the polynomial is an approximation with an error less than or equals to 0.002652 for x in the interval

[-1.113826815, 1.113826815]

8 0

2 years ago

Find a formula for the general term or of the sequence assuming the pattern of the first few terms

bearhunter [10]

Answer:5n+6

Step-by-step explanation :an=a1+d(n-1)

=1+(-5)(n-1) or 1+-5n+5

an=-5n+6

6 0

2 years ago

What is the simplified expression of (3 + 4) - 2 + (6 ÷ 3) =​

What is the simplified expression of (3 + 4) - 2 + (6 ÷ 3) =