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2 years ago

The sum of a number and 7 algebraic expression

Mathematics

1 answer:

Arisa [49]2 years ago

5 0

Since it says the sum of any number not one in specific then the value will be x, plus the sum of 7,

$x + 7$

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Plutonium-240 decays according to the function L where o

PIT_PIT [208]

Answer:

$\boxed{\textbf{1700 yr}}$

Step-by-step explanation:

$-\dfrac{\text{d}L}{\text{d}t} = kL\\\\\dfrac{dL}{L}=-kdt\\\\\ln L = -kt + C\\\text{At t = 0, L = L$_{0}$, so C = $\ln L_{0}$}\\\ln L = -kt + \ln L_{0}\\\ln L_{0} - \ln L = kt\\\\\ln \dfrac{L_{0}}{L} =kt$

Data:

L₀ = 24 g

L = 20 g

k = 0.000 11 yr⁻¹

Calculation:

$\ln \dfrac{24}{20} =0.000 11t\\\\\ln 1.2 = 0.000 11t\\\\0.1823 = 0.000 11t\\\\t = \dfrac{0.1823}{0.000 11} = \textbf{1700 yr}\\\\\text{It will take } \boxed{\textbf{1700 yr}}\text{ for the polonium to decay to 20 g}$

8 0

3 years ago

Which ordered pair (r, s) is the solution to the given system of equations?

SSSSS [86.1K]

Answer:

(8,3)

Step-by-step explanation:

Edge 2020 hope this helps =)

3 0

2 years ago

Read 2 more answers

(2+i \sqrt{2}), (2- i\sqrt{2} )

juin [17]

Idk hi what’s up with y’all and josh

7 0

2 years ago

Please help! Thank youuuu!

ExtremeBDS [4]

F(x) = 3x² + 6x - 1

The graph is a parabola open upward (a= 3>0) with a minimum.

Calculate the vertex:

x = -b/2a → x = -6/(2.3) = -1. Then the axis of symmetry is x = - 1
Now to calculate the minimum, plugin the value of x:

y = 3x² + 6x - 1

y = 3(-1)² + 6(-1) -1

y= 3 - 6 -1 and y = - 4,

Ten the vertex (minimum) is at (-1,- 4)

4 0

2 years ago

This is a CALCULUS question, "Derivatives As A function"

irina1246 [14]

Derivative Functions

The derivative function gives the derivative of a function at each point in the domain of the original function for which the derivative is defined. We can formally define a derivative function as follows.

Definition:

let f be a function. The derivative function, denoted by f', is the function whose domain consists of those values of x such that the following limit exists:

$f'(x)= \lim_\\ \ \\ \frac{f(x+h)-f(x)}{h} {h \to 0}$

4 0

2 years ago