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2 years ago

The top of a flag pole is 14 feet high. The base is at −2 feet. Find the length of the flag pole.

Mathematics

1 answer:

mariarad [96]2 years ago

7 0

Answer:

it is -7

Step-by-step explanation:

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Help me please! is compound interest

satela [25.4K]

Answer:

7,200

Step-by-step explanation:

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3 years ago

Find the solution to the differential equation dz/dt = 7te^4z that passes through the origin.

andreev551 [17]

Answer:

$z=(\frac{-1}{4} )ln|1-14t^{2}|\\$

Step-by-step explanation:

from the equation, $\frac{dz}{dt}=7te^{4z}\\$ .

we can give different approach to the equation, but to make it simple and direct, let separate the equation by bringing all like terms to the same side i.e

$\frac{dz}{e^{4z}}=7tdt\\e^{-4z} dz=7tdt$ .

if we integrate both side,

$\int\limits^a_b{e^{-4z} } \,dz =\int\limits^a_b {7t} \,dt$

$-1/4e^{-4z} +c_{1}=7/2t^{2} +c_{2}\\-1/4e^{-4z}= 7/2t^{2} +c_{2}-c_{1}\\let c_{2}-c_{1}=c \\-1/4e^{-4z}= 7/2t^{2} +c$

since the equation passes through the origin, and at the origin z=0 and t=0

we substitute this values and solve for the constant c

$e^{-4*0}= 7/2*0 +c\\c=1$ .

If we substitute the value of c into the equation we arrive at

$(-1/4)e^{-4z}= (7/2)t^{2}+1\\ e^{-4z}=1-14t^{2} \\$

if we the the natural logarithm of both sides, we arrive at

$-4z=ln|1-14t^{2}|\\z=(\frac{-1}{4} )ln|1-14t^{2}|\\$

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3 years ago

Explain how to divide two rational numbers

Liono4ka [1.6K]

if they're both even, divide by two. rational numbers presume reduced fractions. Dividing rational numbers. If two numbers you want to divide, flip the 2nd and multiply.

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3 years ago

A coin is tossed 4 times. What is the probability of getting at least 2 tails?

GenaCL600 [577]

Answer:

50%

Step-by-step explanation:

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3 years ago

Wich of the following is not a factor of 80?

Andrei [34K]

Factors are the 'two numbers multiplied' that give you 80. 40 and 2 give you 80, right? So does 20 and 4 & 8 and 10 ............Which means that the only ones that cannot be factors are 80 and 2 because those two multiplied together equal 160.

But of course, all of these numbers individually are factors of 80, but this problem specifically asks for pairs and not the individual factors alone.

I hope you benefit from my explanation.

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4 years ago