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3 years ago

Rachel ate 1 4/6 brownies, and brandy ate 6/7 of a brownie. how many brownies did they eat altogether?

Mathematics

2 answers:

In-s [12.5K]3 years ago

6 0

Answer:

53/21 OR 2 11/21

Step-by-step explanation:

1 4/6 + 6/7

Change 1 4/6 into an improper fraction

1 4/6 6x1= 6+4= 10/6

Simplify 10/6 --> 5/3

5/3+ 6/7

find a common denominator (21)

35/21+18/21= 53/21

mixed number form is 2 11/21

Vikki [24]3 years ago

5 0

Answer:

$2 \frac{11}{21}$

Step-by-step explanation:

1 4/6 + 6/7 = 2 11/21

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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

3 years ago

Please help!! Brainliest worth 15 points

MrMuchimi

See photo for solution and mark me as brainliest if you think i helped!

4 0

3 years ago

i am a polygon in which all sides are congruent and all angles are congruent what am i?PLZZZZZZZZ HELPPPP!!!!!!!!!!!!!!!!!!!!!!!

Nataly [62]

The question doesn't say how many sides you have,
so the answer will have to be something that applies to
ALL polygons, no matter how many sides they have.

A polygon in which all sides are the same length and
all angles are the same size is called a "regular" one.

If a polygon with 4 sides is regular, we call it a "square".

6 0

3 years ago

Seven less than four times a number, x, is 37. What is a possible solution of x?

dalvyx [7]

4x-7=37
4x=37+7
4x=44
4x/4=44/4
X=11

8 0

3 years ago

A rectangular prism has a length of 18 meters, a height of 3 meters, and a width of 4 meters. What is its volume, in cubic meter

Likurg_2 [28]

Answer:

216m^3

Step-by-step explanation:

find the area of the face 12m

times the face by the length

18×12=216

5 0

3 years ago

Read 2 more answers

Rachel ate 1 4/6 brownies, and brandy ate 6/7 of a brownie. how many brownies did they eat altogether?​

Rachel ate 1 4/6 brownies, and brandy ate 6/7 of a brownie. how many brownies did they eat altogether?