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3 years ago

What is the value of p in the question below. 10x9/2x4= px 5

Mathematics

1 answer:

ycow [4]3 years ago

7 0

Answer:

p = 5

Step-by-step explanation:

We have that:

$\frac{x^{a}}{x^{b}} = x^{a-b}$

$\frac{x^{9}}{x^{4}} = x^{9-4} = x^{5}$

10/2 = 5

Then

$\frac{10x^{9}}{2x^{4}} = 5x^{9-4} = 5x^{5}$

Finding p:

$5x^{5} = px^{5}$

$p = \frac{5x^{5}}{x^{5}}$

$p = 5$

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Before starting his job, Clayton had been on an airplane 3 times. Since then, he has flown 6 times each year.

xz_007 [3.2K]

Answer:

f = 6y + 3

Step-by-step explanation:

<u>The equation to reflect this condition is:</u>

f = 6y + 3

<u>Where</u>

3 - is constant, the initial number of flights
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y- number of years
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3 years ago

Consider the set a = {a, b, {a, b}}, where a and b are distinct elements. the number of elements in ℘(a) is _____

Juli2301 [7.4K]

$A=\{a,b,\{a,b\}\}\\|A|=3\\\\|\wp(A)|=2^3=8$

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3 years ago

Find the next two terms of the sequence. 2, 6, 10, 14, ... (1 point)

Naddik [55]

The sequence given is 2, 6, 10, 14
Noticing this sequence, we will find that the sequence increases by 4 each time. This means that:
The next number = the current number + 4

In other words:
2
2+4 = 6
6+4 = 10
10+4 = 14
14+4 = 18

Therefore, the next number in the sequence would be 18

7 0

3 years ago

Read 2 more answers

The measure of the exterior angle of the triangle is what degree?

RSB [31]

Answer:

92°

Step-by-step explanation:

By exterior angle theorem:

$(2x - 2) \degree = x \degree + 45 \degree \\ \\ (2x - 2 - x) \degree = 45 \degree \\ \\ (x - 2) \degree = 45 \degree \\ \\ (x - 2) = 45 \\ \\ x = 45 + 2 \\ \\ x = 47 \\ \\ (2x - 2) \degree = (2 \times 47 - 2)\degree \\ \\ (2x - 2) \degree = (94 - 2)\degree \\ \\ (2x - 2) \degree = 92\degree \\ \\ measure \: of \: the \: exterior \: angle \\ = 92 \degree$

4 0

3 years ago

An FM radio station broadcasts at 84 megahertz (MHz). What is the energy of each photon in Joule? Use h = 6.6 * 10 ^ (- 34) * j

iragen [17]

Answer:

$E=5.544*10^{-26} J$

Step-by-step explanation:

The equation for photon energy is given by:

$E=hf$

Where:

$h=Planck\hspace{3}constant=6.6*10^{-34} \\f=Frequency\hspace{3}of\hspace{3}the\hspace{3}wave=84000000Hz$

This equation telling us that the higher the frequency of the photon, the greater its energy. And the longer the photon wavelength, the lower its energy.

So, replacing the data provided in the previous equation:

$E=(6.6*10^{-34} )*(84000000)=5.544*10^{-26} J$

7 0

3 years ago