Who can prove that ? :D prove that lim x about 0 (sin(x)/x)=1 by using sandwich theorem

Mathematics

1 answer:

earnstyle [38]3 years ago

8 0

$cos (x) \leq \frac{sin (x)}{x} \leq 1$

Apply limit as x->0

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The Census Bureau estimates that in 2020, 15 of the 50 states will have a Spanish-speaking majority. What percent of the states

Vinvika [58]

The answer is: [C]: "30%" .
_____________________________________________________
Explanation:
_____________________________________________________
Note that: "%" ; or "percent" means "out of 100" ; or "divided by 100" .
______________________________________________________
Method 1)

15/50 = ?/ 100 ;

Look at the denominators:

50 * (what value?) = 100 ? ; → "100 ÷ 50 = 2" ;

→ 50 * 2 = 100 ;

So: "15/50 = (15*2)/(50*2) = "30/100" ; which is "30%" .
___________________________________________
Method 2:
___________________________________________
"15/50" = (15÷5) / (50÷5) = 3/10 ;

3/10 = (3*10) / (10*10) = 30/100 ; which is: "30%" .
__________________________________________
Method 3: (slight variation of "Method 2" above):
___________________________________________
"15/50" = (15÷5) / (50÷5) = 3/10 ;

3/10 = 0.3 = 0.30 = (0.30 * 100) % = " 30% " .
___________________________________________

4 0

3 years ago

Give two examples that show how using parentheses can change the order I. Witch operations are performed in an expression

pantera1 [17]

The order of arithmetic operations is given by the acronym PEMDAS, which means
Parentheses,
Exponents,
Multiplication,
Division,
Addition,
Subtraction.

These two examples illustrate how the use of parentheses can change the order.

Example 1:
5+7/3x4-2/5 has an answer of 13.933.

Use PEMDAS to obtain
5+(7/3)x4-(2/5)
= 5+(2.3333x4)-0.4
= 5+9.3333-0.4
= 14.3333-0.4
= 13.933

If we apply the parentheses: (5+7)/3x4-2/5
The result is
(12/3)x4-(2/5)
= (4x4)-0.4
= 16-0.4
= 15.06
which is a different answer.

Example 2:
8/3²x5+4 has the answer 8.444

Use PEMDAS to obtain
8/(3²)x5+4
= (8/9)x5+4
= (0.8889x5)+4
= 4.4444+4
= 8.4444

If we apply the parentheses (8/3)²x5+4:
The result is
2.6667²x5+4
= 7.1113x5+4
= 35.5565+4
= 39.5565
which is a different answer.

3 0

3 years ago

Solve using the quadratic formula or factoring ... 5=6x^2 + 13x

FromTheMoon [43]

Answer:

x = $\frac{-5}{2}$ <u><em>or </em></u>x = $\frac{-1}{3}$