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3 years ago

I need help on 1-7 some one please help me

Mathematics

1 answer:

zaharov [31]3 years ago

3 0

1) -9

2)0.1 repeating (i think?)

3)1.3

4)0.037 repeating

5)4

6)2.9

7)8

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Dy/dx e^8x= sin (x+4y)

WINSTONCH [101]

Implicit differentiation:
differentiate both sides,
8e^(8x)=cos(x+4y)(1+4y')
Solve for y' to get
y'=[cos(x+4y)-8e^(8x)]/[4cos(x+4y)]

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4 years ago

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4 years ago

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3 years ago

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The half-life of Carbon 14 (C-14) is 5230 years. Determine the decay-rate pa-rameterλfor C-14.

Lady bird [3.3K]

Answer:

λ = 1.3252 x 10⁻⁴

Step-by-step explanation:

Since we are already given the half-life, the decay expression can be simplified as:

$N(t) = N_0*e^{-\lambda t}\\\frac{N(half-life)}{N_0}=0.5$

For a half-life of t =5230 years:

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3 years ago

What is the power of x? <br> A) 2 <br> B) 3 <br> C) 6 <br> D) 7

Thepotemich [5.8K]

Answer:

Step-by-step explanation:

They are basically wanting the value of x.

These are 2 secant lines drawn. Secant Line is a line that intersects the circle at 2 points.

To solve this, we have to use secant-secant theorem.

Secant-Secant Power Theorem tells us that if 2 secant lines are drawn from external point (here, E) to a circle, then, product of measure of one secant's external part and total secant is equal to other secants external part and whole secant.

In algebra, that is:

$(x+1)(x+1+11)=(x+4)(x+4+1)$

Let's multiply and find the value of x:

$(x+1)(x+1+11)=(x+4)(x+4+1)\\(x+1)(x+12)=(x+4)(x+5)\\x^2 + 13x + 12=x^2+9x+20\\13x+12=9x+20\\13x - 9x = 20 - 12\\4x = 8\\x = 2$

Hence, the correct answer choice is A

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4 years ago