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anzhelika [568]
2 years ago
13

Find the 1st term of a sequence if the common difference = -2 and the 13th term =59

Mathematics
1 answer:
Marat540 [252]2 years ago
8 0

Answer:

83

Step-by-step explanation:

<u>Formula for 13th term:</u>

t(13) = a + 12d, where a- first term, d- common difference

<u>Given</u>

  • t(13) = 59
  • d = -2
  • a = ?

<u>As per the formula for 13th term:</u>

  • 59 = a + 12*(-2)
  • 59 = a - 24
  • a = 59 + 24
  • a = 83
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Determine the decibel values of thermal noise power (N) and thermal noise power density (No) given the following: T=292 degrees
Agata [3.3K]

Answer: d. None of the above are correct.

Step-by-step explanation: Noise is a superfluous random alteration in an eletrical signal. There are different types of noises created by different devices and process. Thermal noise is one of them. It is unavoidable because is created by the agitation of the charge carriers, due to temperature, inside an eletrical conductor at equilibrium and is present in all eletrical circuits.

The formula to find the thermal noise power (N) is: N = k_{b}.T.B, where:

k_{b} is Boltzmann constant (1.38.10^{-23}J/K);

T is temperature in Kelvin;

B is the bandwith;

Calculating the thermal noise power:

N = 1.38.10^{-23}·292·40

N = 16118.4.10^{-23} dBm

The thermal noise power [N] = 16118.4.10^{-23} dBm

Noise power density or simply Noise density (N₀) is the noise power per unit of bandwith and its SI is watts per hertz.

For thermal noise, N₀ = kT, where

<em>k </em>is the Boltzmann constant in J/K;

T is the receiver system noise temperature in K;

N₀ = 1.38.10^{-23} . 292

N₀ = 402.96.10^{-23} W/Hz

The thermal noise power density [N₀] = 402.96.10^{-23} W/Hz

7 0
3 years ago
If 8 ounces of a sports drink contain 110 milligrams of sodium what is the total number of milligrams of sodium in 20 ounces of
Sati [7]
The milligrams of sodium in a 20 ounce sports drink is 275 milligrams.
Work:
I divided 110 by 8 which gave me 13.75
13.75 is the milligrams of sodium in each ounce.
I then divided it by 20 and got 275 the number of milligrams in a 20 ounce drink.
7 0
3 years ago
You can buy 15 stickers for $10 how much would 12 stickers cost
Readme [11.4K]

Answer:

8 dollars

Step-by-step explanation:

We can write a ratio to solve

15 stickers            12 stickers

------------------ = ----------------------

10 dollars           x dollars

Using cross products

15 *x = 12 * 10

15x = 120

Divide each side by 15

15x/15 = 120/15

x =8

8 dollars

4 0
2 years ago
Read 2 more answers
Which of the following is the most accurate statement about Spatial Relations?
WINSTONCH [101]

Option C. The correct statement about spatial relationshipo is that Spatial terms such as above, below, behind, and under are used to describe objects in space.

<h3>What are spatial relationship?</h3>

These are the types of relationships that are used to relate objects to the location of somethings else. It makes use of words like under, above etc.

It is one of the knowledge that children need in the preoperational stage to learn how to use logical operations.

Read more on spatial relationships here:

brainly.com/question/18689323

#SPJ1

8 0
2 years ago
Write the equation of a line parallel to y= 2x + 2 that passes through the point (-1,-7). Show your work.
oksian1 [2.3K]

Answer:

\large\boxed{y=2x-5}

Step-by-step explanation:

The slope-intercept form of an equation of a line:

y=mx+b

Parallel lines have the same slope. Therefore if given line is

y=2x+2

then the slope of our line is m=2.

We have the equation:

y=2x+b

The line passes through (-1, -7). Put the coordinsted pf the point to the equation:

-7=2(-1)+b

-7=-2+b          <em>add 2 to both sides</em>

-5=b\to b=-5

Finally:

y=2x-5

6 0
3 years ago
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