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Pavel [41]
3 years ago
8

Evaluate the function can someone please explain how I would solve this please?

Mathematics
2 answers:
ElenaW [278]3 years ago
8 0
Y = 4 x 2^-6
y = 4 x 1/2^6
y = 4 x 1/64
y = 1/16
Elena-2011 [213]3 years ago
8 0
To think intuitively of what it means to take a number to a negative power, first consider how we define taking a number to a <em>positive </em>power.

Before we even get there, though, consider how we define multiplication as <em><span>repeated </span>addition</em>. When you see an expression like 3 x 5, what that essentially translates to is "add 3 to itself <em>5 times</em>," so we could also write 3 x 5 as 3 + 3 + 3 + 3 + 3. Having established that, around middle school, you'll typically get your first exposure to positive exponents, which are defined at first as <em>repeated multiplication</em>. When you see something like 3^5, we could also read that as "multiply 3 by itself <em>5 times</em>," or 3\times3\times3\times3\times3.

With that definition for <em>positive</em> exponents defined, it makes sense that we would define <em>negative </em>exponents in terms of the inverse of repeated multiplication: repeated <em>division</em>. Each time we step the exponent back by 1, we divide by the base again. For example, let's take these decreasing powers of 3 and notice what happens:

3^3 = 27\\3^2=27/3=9\\3^1=9/3=3\\3^0=3/3=1

If we start stepping back further, we start getting to values below 1:

3^{-1}=1/3\\3^{-2}=(1/3)/3=1/3^2=1/9\\ 3^{-3}=(1/9)/3=1/3^3=1/27

And this pattern continues, with the essential takeaway being that 3^{-x}=1/3^x

Try applying that pattern to the equation you've been given, y=4\cdot2^{-6}, and see what you get!
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the amount of food a dog should eat depends on the weight of the dog. 1. identify the independent and dependent variables in thi
fomenos

Here, we are required to identify the dependent and independent variables, the dependency relationship in the situation.

  1. The independent and dependent variables are the weight of the dog and the amount of food it should respectively.
  2. The dependency relationship is thus; The amount of food a dog should eat is a function of the weight of the dog
  3. The dependency relationship using the function notation is; f(x) = {function of x}.

  • The independent variable in this situation is the weight of the dog while the amount of food the dog should eat is the dependent variable. The above is evident from the statement; <em>T</em><em>he amount of food a dog should eat depends on the weight of the </em><em>dog</em><em>.</em>

  • <em>According</em><em> </em><em>to </em><em>the </em><em>premise</em><em> </em><em>given </em><em>in </em><em>the </em>question, it is evident that the dependency relationship is;. The amount of food a dog should eat is a function of the weight of the dog

  • The dependency relationship can be written mathematically using the function notation as;. f(x) = {function of x}.

Read more:

brainly.com/question/11239214

5 0
2 years ago
Section 5.2 Problem 17:
Elina [12.6K]

This DE has characteristic equation

4r^2 - 12r + 9r = (2r - 3)^2 = 0

with a repeated root at r = 3/2. Then the characteristic solution is

y_c = C_1 e^{\frac32 x} + C_2 x e^{\frac32 x}

which has derivative

{y_c}' = \dfrac{3C_1}2 e^{\frac32 x} + \dfrac{3C_2}2 x e^{\frac32x} + C_2 e^{\frac32 x}

Use the given initial conditions to solve for the constants:

y(0) = 3 \implies 3 = C_1

y'(0) = \dfrac52 \implies \dfrac52 = \dfrac{3C_1}2 + C_2 \implies C_2 = -2

and so the particular solution to the IVP is

\boxed{y(x) = 3 e^{\frac32 x} - 2 x e^{\frac32 x}}

8 0
2 years ago
I’m like super confused can somebody help me please?
Nezavi [6.7K]

Equations are steeper when their slope's positive value is higher (ignore negatives when determining how steep a slope is). The slope is the value in front of x. If there isn't a value in front of x, then it is assumed to be 1.

4 0
3 years ago
A science museum has an average of 424 visitors each day. The museum is open every day. Over a two-week period, how many people
timama [110]

Answer:

5936 people

Step-by-step explanation:

6 0
3 years ago
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Its been a while since ive been on this site, school reminded me of it lol
rewona [7]

Answer:

yes it sucks. but yet we still use it

Step-by-step explanation:

8 0
2 years ago
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