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4 years ago

13

Columns filled with pairs of numbers that have the same ratio

1 answer:

daser333 [38]4 years ago

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REALLY NEED HELP<br><br> Evaluate the following expression.<br><br> (−2.2 )·(−2)·(−14)·(5)

Lisa [10]

Answer:

-308

Step-by-step explanation:

Given that:

=(−2.2 )·(−2)·(−14)·(5)

As "-" sign into "-" becomes "+"
(2.2)(2) = 4.4

=(4.4)*(-14).(5)

As (-14)*(5) = -70

=(4.4)*(-70)

Multiplying 4.4 with -70

= -308

I hope it will help you.

8 0

3 years ago

Daniel [21]

Answer:

$x=\sqrt{\frac{7(4+\sqrt{15})}{2}}$

Step-by-step explanation:

From the way it is written, the $x$ is outside the square root. I will rewrite it as:

$x\sqrt{5} =x\sqrt{3} +\sqrt{7}$

$x\sqrt{5}-x\sqrt{3}=\sqrt{7}$

$x(\sqrt{5} - \sqrt{3} )=\sqrt{7}$

$x= \frac{\sqrt{7} }{\sqrt{5} - \sqrt{3}} \implies \frac{\sqrt{7}(\sqrt{5} + \sqrt{3}) }{2}$

$x=\frac{1}{2} \sqrt{7} (\sqrt{5} + \sqrt{3} )$

$x=\frac{\sqrt{35}}{2} +\frac{ \sqrt{21}}{2}$

$x=\frac{\sqrt{35}+\sqrt{21}}{2}$

Multiply denominator and numerator by 3

$x=\frac{3\sqrt{35}+3 \sqrt{21}}{6}$

Factor $\sqrt{3}$

$\sqrt{3} (\sqrt{105}+3 \sqrt{7})$

$x=\frac{\sqrt{3} (\sqrt{105}+3 \sqrt{7})}{6}$

Divide denominator and numerator by $\sqrt{3}$

$x=\frac{\sqrt{105}+3 \sqrt{7}}{2\sqrt{3} }$

Let's rewrite it again

$x=\frac{\sqrt{ (\sqrt{105}+3 \sqrt{7})^2}}{\sqrt{12} }$

$x=\sqrt{ \frac{1}{12} \cdot (\sqrt{105}+3 \sqrt{7})^2}$

It is already in the form $\sqrt{\frac{a}{b} }$

Expanding the perfect square, we have

$63+42\sqrt{15}+105$

$\frac{63}{12} +\frac{42\sqrt{15}}{12} +\frac{105}{12}$

$\frac{21}{4} +\frac{7\sqrt{15}}{2} +\frac{35}{4}$

Factor $\frac{7}{2}$

$\frac{7}{2} (4+\sqrt{15} )$

Therefore,

$x=\sqrt{\frac{7}{2} \left(4+\sqrt{15} \right)}$

$x=\sqrt{\frac{7(4+\sqrt{15})}{2}}$

7 0

3 years ago

Read 2 more answers

To determine the size of a sample, the standard deviation of the population must be estimated by either taking a plot surveying

levacccp [35]

Answer:

a) true

Step-by-step explanation:

6 0

4 years ago

Find the slope and the y- intercept of the line y=2x-6

Alchen [17]

Answer:

The slope is 2 and the y-intercept is -6

Step-by-step explanation:

we know that

The equation of the line in slope intercept form is equal to

$y=mx+b$

where

m is unit rate or the slope of the linear equation

b is the y-intercept or initial value (value of y when the value of x is equal to zero)

In this problem we have

$y=2x-6$

therefore

the slope is equal to

$m=2$

and

$b=-6$

<u><em>Verify</em></u>

For x=0

$y=2(0)-6=-6$ ---> is ok

8 0

3 years ago

When two six-sided dice are rolled, there are 3636 possible outcomes.

Yuri [45]

Total number of possible outcomes = 36

Total number of outcomes with sum not 4 = 33
not [1 + 3, 2 + 2, 3 + 1]

P(not sum of 4) = 33/36 = 11/12

Answer: 11/12

4 0

4 years ago