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Andreas93 [3]
3 years ago
8

Drag each pair of equations to show if the system has no solutions, one solution, or infinitely many solutions.

Mathematics
2 answers:
Lena [83]3 years ago
7 0
Put the equations up
rewona [7]3 years ago
5 0

Answer:

here's the answers

Step-by-step explanation:

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alexandr1967 [171]

\cos (\alpha +\frac{\pi}{2})= \cos(\frac{\pi}{2})\cos (\alpha)- \sin(\frac{\pi}{2})\sin(\alpha)\\=0-\sin(\alpha)\\=-\sin (\alpha)

5 0
3 years ago
Jermaine wants to know how fast he is traveling in a school bus, but he cannot see the speedometer. He records that the bus trav
Advocard [28]
<h3>Answer:</h3>

48 mph

<h3>Explanation:</h3>

The rate in miles per second can be converted to the rate in miles per hour by multiplying by the number of seconds in an hour:

\dfrac{1\,mi}{75\,s}\cdot\dfrac{3600\,s}{1\,h}=\dfrac{3600\,mi}{75\,h}=48\,mi/h

8 0
3 years ago
Estimate the integral ∫6,0 x^2dx by the midpoint estimate, n = 6
Anettt [7]
Splitting up the interval [0, 6] into 6 subintervals means we have

[0,1]\cup[1,2]\cup[2,3]\cup\cdots\cup[5,6]

and the respective midpoints are \dfrac12,\dfrac32,\dfrac52,\ldots,\dfrac{11}2. We can write these sequentially as {x_i}^*=\dfrac{2i+1}2 where 0\le i\le5.

So the integral is approximately

\displaystyle\int_0^6x^2\,\mathrm dx\approx\sum_{i=0}^5({x_i}^*)^2\Delta x_i=\frac{6-0}6\sum_{i=0}^5({x_i}^*)^2=\sum_{i=0}^5\left(\frac{2i+1}2\right)^2

Recall that

\displaystyle\sum_{i=1}^ni^2=\frac{n(n+1)(2n+1)}6
\displaystyle\sum_{i=1}^ni=\frac{n(n+1)}2
\displaystyle\sum_{i=1}^n1=n

so our sum becomes

\displaystyle\sum_{i=0}^5\left(\frac{2i+1}2\right)^2=\sum_{i=0}^5\left(i^2+i+\frac14\right)
=\displaystyle\frac{5(6)(11)}6+\frac{5(6)}2+\frac54=\frac{143}2

8 0
3 years ago
just use 5 ounce of lemonade concentrate for every 9 ounce of orange juice (a) find the ratio of number of ounces of orange juic
Maslowich

A) 9 : 5

B) 5( 36/9) which is 20 ounces of lemonade concentrate

7 0
3 years ago
Find the mean of the list of data.<br> 49, 65, 41, 38, 87, 55, 95, 106<br> I can’t find the answer
KatRina [158]

Answer:

67.

Step-by-step explanation:

First we find the mean:

Mean is add up everything and divide by how much numbers there are.

The numbers are:

49, 65, 41, 38, 87, 55, 95, 106.

So we add them up which is 536.

Then we divide by how much numbers there are.

There are 8 numbers so 536/8 which is 67.

Hope this helps :D

3 0
3 years ago
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