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3 years ago

Work out 8^1/3 divide by 5^-2

Mathematics

1 answer:

Mazyrski [523]3 years ago

4 0

Answer:

66.6666666667

Step-by-step explanation:

answer is 66.6666666667

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what is the y-intercept of the line perpendicular to the line y=-3/4x+5 that includes the point (-3,-3)?

Deffense [45]

Answer:

Step-by-step explanation:

For this question, your friend is the point-slope form.

Point-slope form = $y-y_1 = m(x-x_1)$

The only variables you replace are m = slope, y1 = y of a given point, and x1 = x of a given point.

First, we need to find the slope that is perpendicular to the equation $y=-\frac{3}{4}x+5$

An equation that is perpendicular to another equation have to be negative reciprocals (negative inverse) of each other.

If the slope is 3, then the negative reciprocal of 3 is $-\frac{1}{3}$ .

So, since the given slope is -3/4, the negative reciprocal is $\frac{4}{3}$ .

We will use the negative reciprocal as m since we are trying to find the equation of line that includes (-3, -3) and is perpendicular to the other equation.

We will use point slope form using the (-3, -3) points and negative reciprocal as m.

$y-y_1 = m(x-x_1)\\y-(-3) = \frac{4}{3} (x-(-3))\\y+3=\frac{4}{3}(x+3)$

Now, we need to convert this into slope-intercept form. The reason why we need to do this is because y = mx + b, where b is the y-intercept. To do this, solve for y - or in other words, isolate y..

$y+3=\frac{4}{3}(x+3)\\y+3=\frac{4x}{3}+4\\y+3-3=\frac{4x}{3}+4-3\\y=\frac{4}{3}x+1$

The y-intercept of the line is 1.

3 0

2 years ago

A country Road is 0.8 miles long. Determine the length of the road to the nearest whole yard

Olin [163]

Answer:

The nearest whole yard would be 1 or 1.0 because 8 is larger than 5 so you would round up giving you 1

6 0

2 years ago

CAN SOME ONE PLEASE ANSWER THIS RIGHT THANK YOU

Galina-37 [17]

Answer:

2:A number is greater than 17.2

Step-by-step explanation:

the ">" in the inequality represents is greater

so the m> means m is greater than... and then the 17.2 means m is greater than 17.2. The way I learnt it was to imagine the ">" sign is like a crocodile, it wants the bigger number. So the ">" being towards the "m" shows that m is the bigger number.

3 0

2 years ago

Read 2 more answers

What is the standard deviation of the following data set 1,1.2,4,1.28,4.1,5.3?

VikaD [51]

Memorize the definition of standard deviation: the sd is the square root of the average of the squared deviations of the mean. Wow. Let's do it.

Step 1. First we need the mean. That's easy. Add them up and divide by the count. Check if you get 16.88/5 = 2.81333.

Step 2. Now we're going to subtract this from each of the values, and square the result. Don't worry about negative signs, the squaring will get rid of those. Example for the first number:

(1 - 2.813)^2 = 3.29

The list of numbers I get is (rounded, in reality round as little as possible):

3.29, 2.60, 1.41, 2.35, 1.66, 6.18

Step 3: Add them all up. I get 17.49.
Step 4: Divide by the count of numbers. 17.49/6 = 2.91
Step 5: Take the square root from this result. SQRT(2.91) = 1.707305

TIP: Use excel to do all these steps, then run the set of numbers through Excel's built-in sd function (called STDEV.P) and see that you get the same result!

3 0

3 years ago

Find the cartesian equation for the parametric equation x = 2sin x, y = cos x

MaRussiya [10]

In this equation y would equal 4 or it could be 1

8 0

2 years ago