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ASHA 777 [7]
3 years ago
8

Is reading a book that is 1400 pages he will read the same number of pages each day if he reads the book in 7 days how many page

s will he read each day
Mathematics
2 answers:
Gelneren [198K]3 years ago
6 0
200 pages each day; 1400 pages / 7 days = 200 pages a day
Alex777 [14]3 years ago
3 0
He will read 200 pages a day because 1400/7 = 200
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A line passes through the points (-2, 2) and (3, -3). What is the equation of this line in slope-intercept form?
natita [175]

Answer:

D. y = - x

Step-by-step explanation:

y=mx+b

Slope = m= (-3-2)/(3+2)=-1

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2=-(-2)+b

b=0

8 0
4 years ago
Find e^cos(2+3i) as a complex number expressed in Cartesian form.
ozzi

Answer:

The complex number e^{\cos(2+31)} = \exp(\cos(2+3i)) has Cartesian form

\exp\left(\cosh 3\cos 2\right)\cos(\sinh 3\sin 2)-i\exp\left(\cosh 3\cos 2\right)\sin(\sinh 3\sin 2).

Step-by-step explanation:

First, we need to recall the definition of \cos z when z is a complex number:

\cos z = \cos(x+iy) = \frac{e^{iz}+e^{-iz}}{2}.

Then,

\cos(2+3i) = \frac{e^{i(2+31)} + e^{-i(2+31)}}{2} = \frac{e^{2i-3}+e^{-2i+3}}{2}. (I)

Now, recall the definition of the complex exponential:

e^{z}=e^{x+iy} = e^x(\cos y +i\sin y).

So,

e^{2i-3} = e^{-3}(\cos 2+i\sin 2)

e^{-2i+3} = e^{3}(\cos 2-i\sin 2) (we use that \sin(-y)=-\sin y).

Thus,

e^{2i-3}+e^{-2i+3} = e^{-3}\cos 2+ie^{-3}\sin 2 + e^{3}\cos 2-ie^{3}\sin 2)

Now we group conveniently in the above expression:

e^{2i-3}+e^{-2i+3} = (e^{-3}+e^{3})\cos 2 + i(e^{-3}-e^{3})\sin 2.

Now, substituting this equality in (I) we get

\cos(2+3i) = \frac{e^{-3}+e^{3}}{2}\cos 2 -i\frac{e^{3}-e^{-3}}{2}\sin 2 = \cosh 3\cos 2-i\sinh 3\sin 2.

Thus,

\exp\left(\cos(2+3i)\right) = \exp\left(\cosh 3\cos 2-i\sinh 3\sin 2\right)

\exp\left(\cos(2+3i)\right) = \exp\left(\cosh 3\cos 2\right)\left[ \cos(\sinh 3\sin 2)-i\sin(\sinh 3\sin 2)\right].

5 0
3 years ago
What are the angles i what else to put i have the picture?
netineya [11]
I do not know lol. I’m just doing this cuz I need to answer questions in order to ask question
7 0
3 years ago
What would the answer be to this?
Tanya [424]

Step-by-step explanation:

1 pint=20T-shirts, find 1 shirt

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3 years ago
In a circle with a radius of 3 ft, an arc is intercepted by a central angle of 120 degrees.
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The arc’s length is:

6.28 ft


If this helped, please mark brainliest.
8 0
3 years ago
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