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padilas [110]
2 years ago
7

Can't quite figure out the limit problem ​

Mathematics
1 answer:
alisha [4.7K]2 years ago
7 0

Use the squeeze theorem; if

1 - <em>x</em> ²/4 ≤ <em>u(x)</em> ≤ 1 + <em>x</em> ²/2,

then taking the limit on each part as <em>x</em> approaches 0 gives

1 ≤ lim [<em>x</em> → 0] <em>u(x)</em> ≤ 1

and so the limit of <em>u(x)</em> as <em>x</em> → 0 is simply 1.

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F(x) = 6^x for x=3<br> are the function for the given value:
Nimfa-mama [501]

Answer:

f(3) = 216

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

<u>Algebra I</u>

  • Function Notation

Step-by-step explanation:

<u>Step 1: Define</u>

f(x) = 6ˣ

x = 3

<u>Step 2: Evaluate</u>

  1. Substitute:                    f(3) = 6³
  2. Exponents:                   f(3) = 216
4 0
2 years ago
Given that p= x-y <br> Find p when :<br> X=-12. And y=-19<br><br> What is p?
Mazyrski [523]

Answer:

p=7

Step-by-step explanation:

p=-12-(-19)

p=-12+19

p=7

7 0
2 years ago
Read 2 more answers
8000$ is invested in an account the yields 6% interest per year. After how many years will the account worth 13709.60$ if the in
ozzi

Answer:

After 9 years the account will be worth 13709.60$

Step-by-step explanation:

We are given the following in the question:

We are given the following in the question:

P = $8000

r = 6% = 0.046

n = 12

The compound interest is given by:

A = p\bigg(1+\dfrac{r}{n}\bigg)^{nt}

where A is the amount, p is the principal, r is the interest rate, t is the time in years.

Putting the values, we get,

13709.60 = 8000\bigg(1+\dfrac{0.06}{12}\bigg)^{12t}\\\\\dfrac{13709.60}{8000} = \bigg(1+\dfrac{0.06}{12}\bigg)^{12t}\\\\\Rightarrow 1.7137 = (1.005)^{12t}\\\Rightarrow t \approx 9

Thus, after 9 years the account will be worth 13709.60$

5 0
3 years ago
Read 2 more answers
SOMEONE PLEASE HELP ME I WILLG IVE EVERYTHING!
Anvisha [2.4K]

Answer:

<h2>AB is around 33.18</h2><h2>BC is around 15.58 </h2>

Step-by-step explanation:

adjacent/hypotenuse is sine:

cos(28 degrees)=29.3/x

cos(28 degrees)*x=29.3

x=29.3/cos(28 degrees)

x=around 33.18

AB is around 33.18

opposite/adjacent is tangent

tan(28 degrees)=x/29.3

tan(28 degrees)*29.3=x

x=tan(28 degrees)*29.3

x=around 15.58

BC is around 15.58

4 0
3 years ago
!!!*BRAINLIEST*!!!
QveST [7]

Answer:

A

Step-by-step explanation:

Area = length times height times width

Area = 164 x 82 x 9.8

= 131790.4

Multiply by 7.48 since it takes 7.48 gallons to fill a cubic foot then you find the answer of A.

8 0
2 years ago
Read 2 more answers
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