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3 years ago

What is the value of n? 2.7 x 10 = (1 x 10^2) (2.7x10^n The value of n is

Mathematics

1 answer:

nexus9112 [7]3 years ago

8 0

Answer:

use the app gauth-math. (the value of n is 3.)!!!!!!!!!!

Step-by-step explanation: it works for these and other equations!

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A car driving at 20m/s accelerates at 3m/s2 for 3s. What is its final velocity? How far will it travel during this time?

-BARSIC- [3]

Answers:

Final velocity = 29 m/s

Distance traveled = 73.5 meters

========================================================

Work Shown:

The given data is

$v_i = 20 \text{ m}/\text{s} = \text{initial velocity}\\\\a = 3 \text{ m}/\text{s}^2 = \text{acceleration}\\\\t = 3 \text{ s} = \text{time duration}\\\\$

This leads to

$v_f = v_i + a*t\\\\v_f = 20 + 3*3\\\\v_f = 20 + 9\\\\v_f = 29\\\\$

The final velocity is 29 m/s.

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We can use that final velocity to find the distance traveled.

$x = 0.5*(v_i+v_f)*t\\\\x = 0.5*(20+29)*3\\\\x = 0.5*(49)*3\\\\x = 24.5*3\\\\x = 73.5\\\\$

The distance traveled is 73.5 meters.

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An alternative way to calculate the distance is to do this

$x = \frac{(v_f)^2 - (v_i)^2}{2a}\\\\x = \frac{(29)^2 - (20)^2}{2*3}\\\\x = \frac{841 - 400}{6}\\\\x = \frac{441}{6}\\\\x = 73.5\\\\$

Or you could do this

$x = v_i*t + 0.5*a*t^2\\\\x = 20*3 + 0.5*3*3^2\\\\x = 20*3 + 0.5*3*9\\\\x = 60 + 13.5\\\\x = 73.5\\\\$

For more information, check out the Kinematics equations.

7 0

2 years ago

Can someone help me with Writing equations of lines

worty [1.4K]

Step-by-step explanation:

y=mx +c

given c = -8

a pont on line (-2,4)

subs all given info in formula to find m, the slope

4 0

3 years ago

{x | x ∈ N and x is greater than 13}

denis23 [38]

Answer:

x = (14,15,16,,,,,,n)

Step-by-step explanation:

Here,x belongs to set of natural number N

and Condition given for set is " x is greater than 13 "

Now, N=(1,2,3,4,5,6,,,,n) and given that x > 13.

thus, x = (14,15,16,,,,,,n)

7 0

3 years ago

Find the difference. 35 - (-8)

goblinko [34]

Answer:

43.

Step-by-step explanation:

2 negatives make a positive so:

35 - (-8) = 35 + 8 = 43

6 0

3 years ago

Read 2 more answers

The length of a rectangular driveway is five feet more than three times the width. The area is 350ft2. Find the width and length

crimeas [40]

Answer:

width -- 10 ft
length -- 35 ft

Step-by-step explanation:

We can let x represent the width. Then the length will be represented by (3x+5), a value 5 more than 3 times the width.

The area is the product of length and width, so is ...

A = (3x +5)(x) = 3x^2 +5x

To make the area 350, we can find the value of x from ...

3x^2 +5x = 350

This can be solved a number of ways. One of them is "completing the square".

3(x^2 +5/3x) = 350

We choose to divide by 3 and add the square of half the x-coefficient.

x^2 +5/3x +(5/6)^2 = (350/3) + (5/6)^2

(x +5/6)^2 = 4225/36 . . . . simplify

x +5/6 = ±√(4225/36) = ±10 5/6 . . . . take the square root

x = 10 or -11 2/3 . . . . subtract 5/6

The positive solution is the one of interest: x = 10.

The driveway is 10 ft wide and 35 ft long.

4 0

3 years ago