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2 years ago

Simplify: 81

gn="absmiddle" class="latex-formula">

Mathematics

1 answer:

devlian [24]2 years ago

3 0

Answer:

81 1/2 = 163/2

or is it 81 rasied to the 1/2 power?

in this case it would be the squareRoot(81) = 9

Step-by-step explanation

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If x = 2, y = 3 and z = 5, calculate the following: 5x - z

nikdorinn [45]

5*2 - 5
5*2=10
10-5=5

5 0

2 years ago

Prove algebraically that r = 10/2+2sinTheta is a parabola

Xelga [282]

Answer:

$y = - \frac{ 1 }{10} {x}^{2} + \frac{5}{2}$

Step-by-step explanation:

We want to prove algebraically that:

$r = \frac{10}{2 + 2 \sin \theta}$

is a parabola.

We use the relations

${r}^{2} = {x}^{2} + {y}^{2}$

and

$y = r \sin \theta$

Before we substitute, let us rewrite the equation to get:

$r(2 + 2 \sin \theta) = 10$

$r(1+ \sin \theta) = 5$

Expand :

$r+ r\sin \theta= 5$

We now substitute to get:

$\sqrt{ {x}^{2} + {y}^{2} } + y = 5$

This means that:

$\sqrt{ {x}^{2} + {y}^{2} }=5 - y$

Square:

${x}^{2} + {y}^{2} =(5 - y)^{2}$

Expand:

${x}^{2} + {y}^{2} =25 - 10y + {y}^{2}$

${x}^{2} =25 - 10y$

${x}^{2} - 25 = - 10y$

$y = - \frac{ {x}^{2} }{10} + \frac{5}{2}$

This is a parabola (0,2.5) and turns upside down.

4 0

2 years ago

− 96 , 48 , − 24 , 12 , − 6 . what is the ratio of the geometric sequece

snow_tiger [21]

Answer:

-1/2

Step-by-step explanation:

it has to be a negative number since

every other number is negative

its a fraction since the numbers are decreasing

96 divided by 48 is 2

so the number being multiplied or ration must be -1/2

7 0

1 year ago

University officials say that at least 70% of the voting student population supports a fee increase. If the 95% confidence inter

baherus [9]

Answer:

The interval estimate is above 70%, so infer that it will be supported.

Step-by-step explanation:

The evidence that 95% confidence interval estimating the proportion of students supporting the fee increase is [0.75, 0.85] supports university officials' claim that at least 70% of the voting student population supports a fee increase.

Therefore we can infer that a fee increase will be supported.

4 0

3 years ago

-5c+5c+2c–6c–12c-16 16=c

daser333 [38]

Step-by-step explanation:

-5c+5c+2c–6c–16=c

-16c - 16=c

-16 = c + 16c

-16 = 17c

-16/17 = c

7 0

2 years ago