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4 years ago

2v-4^9v+5^2v-4^9v+5 simpify your answer

Mathematics

1 answer:

Gennadij [26K]4 years ago

3 0

Answer:

2v^1 - 2^(18v+1) + 5 ^ 2v +5

Step-by-step explanation:

2v-4^9v+5^2v-4^9v+5

Combine like terms

2v - 4 ^ 9v - 4 ^ 9v + 5 ^ 2v+5

We know a^b - a^b = 2 a^b

2v - 2*4^9v + 5 ^ 2v+5

Rewriting 4 as 2^2 and v as v^1

2v^1 - 2 * 2^2^9v + 5 ^ 2v+5

We know that a^b^c = a^ b*c

2v^1 - 2 * 2^18v + 5 ^ 2v+5

2v^1 - 2^1 * 2^18v + 5 ^ 2v+5

We know that a^1 * a^b = a^ b+1

2v^1 - 2^(18v+1) + 5 ^ 2v+5

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Help the kiddd outttt

lilavasa [31]

Answer:

y - 3 = - 4 ( x + 4)

Step-by-step explanation:

(-4,-3) and (4,1)

Slope = (1 + 3)/(4 + 4) = 2/8 = 1/4

Perpendicular lines, slope is opposite and reciprocal so slope of the line that is perpendicular to the given line is -4

Equation in point slope form, passing thru (-4 , 3)

y - 3 = - 4 ( x + 4)

4 0

3 years ago

Mr. Ratchett, an elderly American, was found murdered in his train compartment on the Orient Express at 7 AM. When his body was

nasty-shy [4]

Answer: Mr. Ratchett died approximately at 2AM.

Step-by-step explanation: Newton's Law of Cooling shows the cooling rate between a body and the environment, by stating that the rate is proportional to the difference in temperatures between them.

Mathematically, it is represented as:

$\frac{dQ}{dt}=\alpha.A.(T_{s}-T)$

This differential equation solved, gives the solution:

$T(t)=T_{s}+(T_{0}-T_{s})e^{-kt}$

where

$T_{s}$ is temperature of the environment

$T_{0}$ is the initial temperature of the body

k is a parameter dependent of heat transfer coefficient, heat capacity and area of the body

t is time required to change the temperature

For the murder on the Orient Express, first determine parameter k.

In 1 hour, Mr. Ratchett's body decrease 1°:

$27=22+(28-22)e^{-1k}$

$5=6e^{-k}$

$e^{-k}=\frac{5}{6}$

$ln(e^{-k})=ln(0.834)$

k = 0.1823

Using the parameter, find estimate time:

$28=22+(37-22)e^{-0.1823t}$

$6=15e^{-0.1823t}$

$ln(e^{-0.1823t})=ln(0.4)$

0.1823t = 0.9163

$t=\frac{0.9163}{0.1823}$

t ≈ 5 hours

The body was found at 7AM. So, it took approximately 5 hours to cool down to 28° at that time. Therefore, Mr. Ratchett died at 2AM.

5 0

3 years ago

Find angles 1, 2, and 3

dedylja [7]

Answer:

1 : 51 2 : 39 3 : 90

Step-by-step explanation:

1 : 180(internal angle of triangle) - 90 - 39 =51

2. alternate angles

3. internal angles of rectangle are always 90

6 0

2 years ago

Will pay $5 to whoever solves this :)

Nataly [62]

Can u send a better picture pls

8 0

3 years ago

What is the explicit formula for this sequence?

Zarrin [17]

Step-by-step explanation:

The above sequence is a geometric sequence

For an nth term in a geometric sequence

$a(n) = a ({r})^{n - 1}$

where

n is the number of terms

a is the first term

r is the common ratio

From the question

a = 5

r = 10/5 = 2

Therefore the explicit formula for this sequence is

$a(n) = 5( {2})^{n - 1}$

Hope this helps you

8 0

3 years ago