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3 years ago

Prove the identity and include the rule

Mathematics

1 answer:

oksian1 [2.3K]3 years ago

6 0

Hi there!

To begin, we can distribute sec²x with (1 - sin²x):

= sec²x - sec²xsin²x

Which simplifies to:

= sec²x - tan²x

Recall the Pythagorean identity:

1 + tan²x = sec²x

Rearrange alike to the solved for expression above:

1 = sec²x - tan²x

Thus, using the Pythagorean Identity, sec²x(1 - sin²x) = 1.

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Which list is in order from least to greatest? 1.94 times 10 Superscript negative 5, 1.25 times 10 Superscript negative 2, 6 tim

sergij07 [2.7K]

Answer:

The options in the question was not properly arranged/ formatted. See the arranged options in the explanation section

The correct option is A.

1.94 times 10 Superscript negative 5, (1.9 x 10⁻⁵)

1.25 times 10 Superscript negative 2 (1.25 x 10⁻²),

6 times 10 Superscript 4 (6 x 10⁴),

8.1 times 10 Superscript 4 (8.1 x 10⁴)

Step-by-step explanation:

Which list is in order from least to greatest?

1.94 times 10 Superscript negative 5,

1.25 times 10 Superscript negative 2,

6 times 10 Superscript 4,

8.1 times 10 Superscript 4

1.25 times 10 Superscript negative 2,

1.94 times 10 Superscript negative 5,

6 times 10 Superscript 4,

8.1 times 10 Superscript 4

1.25 times 10 Superscript negative 2,

1.94 times 10 Superscript negative 5,

8.1 times 10 Superscript 4,

6 times 10 Superscript 4

1.94 times 10 Superscript negative 5,

1.25 times 10 Superscript negative 2,

8.1 times 10 Superscript 4,

6 times 10 Superscript 4

Which list is in order from least to greatest?

1.94 times 10 Superscript negative 5, (1.9 x 10⁻⁵)

1.25 times 10 Superscript negative 2 (1.25 x 10⁻²),

6 times 10 Superscript 4 (6 x 10⁴),

8.1 times 10 Superscript 4 (8.1 x 10⁴)

1.25 times 10 Superscript negative 2 (1.25 x 10⁻²),

1.94 times 10 Superscript negative 5 (1.9 x 10⁻⁵),

6 times 10 Superscript 4 (6 x 10⁴),

8.1 times 10 Superscript 4 (8.1 x 10⁴)

1.25 times 10 Superscript negative 2 (1.25 x 10⁻²),

1.94 times 10 Superscript negative 5 (1.9 x 10⁻⁵),

8.1 times 10 Superscript 4 (8.1 x 10⁴),

6 times 10 Superscript 4 (6 x 10⁴)

1.94 times 10 Superscript negative 5 (1.9 x 10⁻⁵),

1.25 times 10 Superscript negative 2 (1.25 x 10⁻²),

8.1 times 10 Superscript 4 (8.1 x 10⁴),

6 times 10 Superscript 4 (6 x 10⁴)

5 0

3 years ago

Read 2 more answers

Write the slope intercept form of 11x-8y=-48

bija089 [108]

Y=(11/8)x+6
subtract the 8y to the right then add the 48 to the left then divide by 8

8 0

4 years ago

Please help me with 2b ASAP. Really appreciate it!!

Bogdan [553]

$f(x)=\dfrac{x^2}{x^2+k^2}$

By definition of the derivative,

$f'(x)=\displaystyle\lim_{h\to0}\frac{\frac{(x+h)^2}{(x+h)^2+k^2}-\frac{x^2}{x^2+k^2}}h$

$f'(x)=\displaystyle\lim_{h\to0}\frac{(x+h)^2(x^2+k^2)-x^2((x+h)^2+k^2)}{h(x^2+k^2)((x+h)^2+k^2)}$

$f'(x)=\dfrac{k^2}{x^2+k^2}\displaystyle\lim_{h\to0}\frac{(x+h)^2-x^2}{h((x+h)^2+k^2)}$

$f'(x)=\dfrac{k^2}{x^2+k^2}\displaystyle\lim_{h\to0}\frac{2xh+h^2}{h((x+h)^2+k^2)}$

$f'(x)=\dfrac{k^2}{x^2+k^2}\displaystyle\lim_{h\to0}\frac{2x+h}{(x+h)^2+k^2}$

$f'(x)=\dfrac{2xk^2}{(x^2+k^2)^2}$

$\dfrac{k^2}{(x^2+k^2)^2}$ is positive for all values of $x$ and $k$ . As pointed out, $x\ge0$ , so $f'(x)\ge0$ for all $x\ge0$ . This means the proportion of occupied binding sites is an increasing function of the concentration of oxygen, meaning the presence of more oxygen is consistent with greater availability of binding sites. (The question says as much in the second sentence.)

7 0

3 years ago

The graph shows the absolute value parent function. Which statement best describes the function?

Lubov Fominskaja [6]

Answer:

b. the function is always positive

8 0

3 years ago

Tim is selling tickets to a school sporting event to raise money for his club. He put some extra money in his box before he bega

mihalych1998 [28]

The price of each ticket will be the slope found from the data.

Slope=m=(y2-y1)/(x2-x1)=(177.5-146.25)/(18-13)

m=6.25 (so the cost of the tickets is $6.25)

Now we can use any data point to solve for b, or the y-intercept of the line:

y=6.25x+b, using (177.5, 18)

177.5=6.25(18)+b

b=$65.00d

So he started with $65.00

5 0

3 years ago