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3 years ago

For this exponential function, what is the output value, when the input value is 2?

Mathematics

1 answer:

qwelly [4]3 years ago

6 0

Answer:

20.

Step-by-step explanation:

You plug two into the exponent with the base two

$y=5 times 2^2\\y=5 times 4\\y=20$

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Solve for X

tigry1 [53]

Answer:

$x = \pm e^{-1}$

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Equality Properties

Multiplication Property of Equality
Division Property of Equality
Addition Property of Equality
Subtract Property of Equality

Algebra I

Solving quadratics
Multiple roots

Algebra II

Logarithms
Euler's number e

Step-by-step explanation:

Step 1: Define

$\displaystyle ln(x^2) = -2$

Step 2: Solve for x

Raise both sides by e: $e^{\displaystyle ln(x^2)} = e^{-2}$
Simplify equation: $x^2 = e^{-2}$
Square root both sides: $x = \pm e^{-1}$

7 0

3 years ago

Read 2 more answers

Is 4x^ -3 - 4x + 6 nonlinear or linear

Sedbober [7]

Answer:

non linear

Step-by-step explanation:

because it isn't solved yet. x needs its value to continue.

4 0

3 years ago

How many units long is a segment whose endpoints are (2,3) and (7,15)?

Ahat [919]

Answer:

13 units

Step-by-step explanation:

Distance formula: $d = \sqrt{(x2-x1)^2 + (y2-y1)^2}$

Simply plug in your variables

$d = \sqrt{(7-2)^2 + (15-3)^2}$

$d = \sqrt{5^2 + 12^2}$

$d = \sqrt{25 + 144}$

$d = \sqrt{169}$

d = 13

5 0

3 years ago

xP(x)00.2510.0520.1530.55Find the standard deviation of this probability distribution. Give your answer to at least 2 decimal pl

Nookie1986 [14]

The Solution:

Given:

Required:

Find the standard deviation of the probability distribution.

Step 1:

Find the expected value of the probability distribution.

$E(x)=\mu=\sum_{i\mathop{=}0}^3x_iP_(x_i)$ $\begin{gathered} \mu=(0\times0.25)+(1\times0.05)+(2\times0.15)+(3\times0.55) \\ \\ \mu=0+0.05+0.30+1.65=2.0 \end{gathered}$

Step 2:

Find the standard deviation.

$Standard\text{ Deviation}=\sqrt{\sum_{i\mathop{=}0}^3(x_i-\mu)^2P_(x_i)}$ $=(0-2)^2(0.25)+(1-2)^2(0.05)+(2-2)^2(0.15)+(3-2)^2(0.55)$ $=4(0.25)+1(0.05)+0(0.15)+1(0.55)$ $=1+0.05+0+0.55=1.60$

Thus, the standard deviation is 1.60

Answer:

1.60

8 0

1 year ago

What is the value of expression?

kolezko [41]

$6^{-7}\cdot6^4=6^{-7+4}=6^{-3}$

4 0

3 years ago