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ohaa [14]
3 years ago
8

Linear equation 4.5 + 1.5y=24 x-y=4

Mathematics
1 answer:
WARRIOR [948]3 years ago
8 0
4.5x + 1.5y = 24 ⇒ 4.5x + 1.5y = 24
1.0x -  1.0y = 4   ⇒<u> 4.5x - 4.5y = 18</u>
                                             <u>6y</u> = <u>6</u>
                                              6     6
                                               y = 1
                             4.5x + 1.5(1) = 24
                                 4.5x + 1.5 = 24
                                 <u>         - 1.5    - 1.5</u>
                                          <u>4.5x</u> = <u>22.5</u>
                                           4.5      4.5
                                               x = 5
                                          (x, y) = (5, 1)
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Which expression is equivalent to 4C0m430 + 4C1m331 + 4C2m232 + 4C3m133 + 4C4m034? 4x4 + 12x3 + 54x2 + 108x + 81 4x4 + 12x3 + 54
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What is the volume of the triangular prism to the nearest whole unit?
kari74 [83]
The answer is 216 cubic feet. How? All you have to do is multiply every number then divide it by 2. Like this: 2*12*18=432. 432/2= 216 cubic feet. 
8 0
3 years ago
You measure 47 backpacks' weights, and find they have a mean weight of 79 ounces. Assume the population standard deviation is 13
ki77a [65]

Answer:

3.14

Step-by-step explanation:

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Mean weight (m) = 79 ounces

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The margin of error is given by:

Zcritical * (standard deviation / sqrt(sample size)

Z critical at 90% confidence interval = 1.645

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8 0
3 years ago
If tan theta= 15/8, then:
Maurinko [17]
Hello there!

The only thing we have to do here is remember our trigonometric functions!

sin=y/r
cos=x/r
tan=y/x
sec=r/x
csc=r/y
cot=x/y

Knowing that tanᎾ=15/8, we know that y=15 and x=8


Now we need to look at the answer choices and see if they are correct.

A. secᎾ=17/8
Since secᎾ=r/x and r=17 and x=8, this is correct.

B. cosᎾ=15/17
Since cosᎾ=x/r and x=8 and r=17, this is wrong.

C. cotᎾ=8/15
Since cotᎾ=x/y and x=8 and y=15, this is also correct!

D. cscᎾ=17/15
Since cscᎾ=r/y and r=17 and y=15, this is right too.

I really hope this helps!
Best wishes :)
5 0
2 years ago
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