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REY [17]
3 years ago
9

Which expression is equivalent to rm ÷ rn? (4 points)

Mathematics
1 answer:
sukhopar [10]3 years ago
6 0
I did not know what your question implied; so I answered it both ways.

rm ÷ rn

= \frac{rm}{rn} =  \frac{m}{n}

r^{m} ÷ r^{n}

= \frac{ r^{m} }{ r^{n} } =  r^{m - n}
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Indicate the formula for the following conditions. P(n,r)=
Oliga [24]

The formula is a permutation in which n represents the sample points in the set, while r represents the number of sample points in each permutation.

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3 years ago
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If $3,000,000 is invested at 6% interest compounded continuously, how much
g100num [7]

Answer:

  $24,498,509.74

Step-by-step explanation:

The formula for the value as a function of time is ...

  V(t) = P·e^(rt)

Filling in the numbers and doing the arithmetic, we have ...

  V(35) = 3,000,000·e^(0.06·35) ≈ 24,498,509.74

Compounded continuously for 35 years, the investment will be worth $24,498,509.74.

3 0
3 years ago
The time it takes to fly from Los Angeles to New York varies inversely as the speed of the plane. If
makvit [3.9K]

Answer: speed is  540 km/h

Step-by-step explanation:   Lets mark speed as v.

Because distenace is same, you can mark   6 h · 900 km/h = 10 h · v

and v = 5400 km / 10 h = 540 km/h.

Or using inverse proportions :   10 h / 6 h  =  v / 900 km/h  .

Before multiplying you turn lastproportion around :

10 h / 6 h = 600 km/ h / v   ,which gives   10 v = 6 · 900 km/h

and result is same

3 0
3 years ago
James is 6 times older than his friend Zach . If Zach added 8 to his age and multiplied this sum by 3 . Write an equation that c
swat32

Given that:

James is 6 times older than his friend Zach, if Zach added 8 to his age and multiplied this sum by 3 .

To find:

The equation that can be used to solve for zach's age.

Solution:

Let the age of zach be Z.

Zach added 8 to his age = Z+8

And multiplied this sum by 3 = 3(Z+8)

James is 6 times older than his friend Zach = 6Z

Now,

6Z=3(Z+8)

6Z-3Z=24

3Z=24

Divide both sides by 3.

Z=8

Therefore, the required equation is 6Z=3(Z+8) is age of zach is 8 years.

5 0
3 years ago
ANSWER THE QUESTIONS PLEASE IT IS ON BEARING
artcher [175]

9514 1404 393

Answer:

  (i) x° = 70°, y° = 20°

  (ii) ∠BAC ≈ 50.2°

  (iii) 120

  (iv) 300

Step-by-step explanation:

(i) Angle x° is congruent with the one marked 70°, as they are "alternate interior angles" with respect to the parallel north-south lines and transversal AB.

  x = 70

The angle marked y° is the supplement to the one marked 160°.

  y = 20

__

(ii) The triangle interior angle at B is x° +y° = 70° +20° = 90°, so triangle ABC is a right triangle. With respect to angle BAC, side BA is adjacent, and side BC is opposite. Then ...

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  ∠BAC = arctan(1.2) ≈ 50.2°

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(iii) The bearing of C from A is the sum of the bearing of B from A and angle BAC.

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The three-digit bearing of C from A is 120.

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(iv) The bearing of A from C is 180 added to the bearing of C from A:

  120 +180 = 300

The three-digit bearing of A from C is 300.

8 0
3 years ago
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