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masya89 [10]
4 years ago
12

Two cyclists begin traveling in the same direction on the same bike path. One travels at 15 MPH, and the other at 12 MPH. When w

ill the cyclists be 10 miles apart?
Mathematics
1 answer:
Lelechka [254]4 years ago
3 0

After 3 hrs 20 mins.

The relative speed of the two cyclists is 15 - 12 = 3 mph.

Time; t = 10/3 = 3.33hr

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A fair coin is tossed 14 times, what is the probability of exactly 6 heads
Mrrafil [7]

Answer:

42.85% or 6/14

Step-by-step explanation:

6 / 14 = 0.428571428571

0.428571428571 * 100 ~ 42.85%                

<em>Can I get Brainliest?</em>                    

6 0
4 years ago
Help me please <br> Surds
kodGreya [7K]

Answer:

12\sqrt{6} + 8\sqrt{15} + 12 + 4\sqrt{10}

Step-by-step explanation:

Using the rule of radicals

\sqrt{a} × \sqrt{b} ⇔ \sqrt{ab}

Given

(4\sqrt{3} + 2\sqrt{2} )(3\sqrt{2} + 2\sqrt{5} )

Each term in the second factor is multiplied by each term in the first factor, that is

4\sqrt{3} (3\sqrt{2} + 2\sqrt{5} ) + 2\sqrt{2} (3\sqrt{2} + 2\sqrt{5} ) ← distribute both parenthesis

= 12\sqrt{6} + 8\sqrt{15} + 12 + 4\sqrt{10}

7 0
4 years ago
find an equation of the line passing through the point (-4,-6) that is parellel to the line y=-2/9x-1
ryzh [129]

<em><u>The equation of the line passing through the point (-4,-6) in slope intercept form is:</u></em>

y = \frac{-2}{9}x -\frac{62}{9}

<em><u>Solution:</u></em>

Given that we have to write the equation of the line passing through the point (-4,-6) that is parallel to the line y=-2/9x-1

<em><u>The equation of line in slope intercept form is given as:</u></em>

y = mx + c ---------- eqn 1

Where, "m" is the slope of line and "c" is the y intercept

<em><u>Given equation of line is:</u></em>

y = \frac{-2x}{9} -1

<em><u>On comparing the above equation with eqn 1,</u></em>

m = \frac{-2}{9}

We know that slopes of parallel lines are equal

Thus slope of line parallel to given line is also \frac{-2}{9}

Now find the equation of line with slope \frac{-2}{9} and passing through (-4, -6)

\text{Substitute } m = \frac{-2}{9} \text{ and } (x, y) = (-4, -6) \text{ in eqn 1}\\\\-6=\frac{-2}{9} \times -4+c\\\\-6 = \frac{8}{9}+c\\\\-6 = \frac{8+9c}{9}\\\\-54 = 8+9c\\\\9c = -62\\\\c = \frac{-62}{9}

\text{Substitute } m = \frac{-2}{9} \text{ and } c = \frac{-62}{9} \text{ in eqn 1}\\\\y = \frac{-2}{9}x -\frac{62}{9}

Thus the equation of line is found

4 0
3 years ago
Express 5000 as the power of 10​
jenyasd209 [6]

Answer:

If you are to express 5000 in scientific notation form, it would be:

5 · 10^{3}

Step-by-step explanation:

Looking at it, there is only 1 sig fig (significant figure) and this means if you are to change it to number from between 1 - 10

it would be: 5

so it would look like 5.000 or just 5.

5,000. vs. 5.000 are both completely different things, that are expressed in different ways. But in this case, you can see that we have move the decimal place 3 times, which is why we have 10^{3}

That is how you get your answer!

8 0
4 years ago
Read 2 more answers
Solve y=f(x) for x. Then find the input when the output is −3. f(x)=−7x−2 x= The input is when the output is −3.
Naya [18.7K]

Answer:

The input is 1/7

Step-by-step explanation:

If y =f(x)

Given that f(x) = -7x -2, then y = -7x-2

x is the input

y is the output

Given the output y = -3, we are to find the input value x

Recall that y = -7x-2

On substituting the value of y into the equation

-3 = -7x - 2

-7x = -3+2

-7x = -1

x = -1/-7

x = 1/7

Hence the input is 1/7

6 0
3 years ago
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