All categories

3 years ago

What is three times ten to the power of zero?

2 answers:

4 0

Any positive number to the power of 0 is 1, so solving in accordance with the order of operations would go as follows:
3*10^1
3*1
3
The answer is 3.

Helga [31]3 years ago

3 0

3(10)^0

3(1) =3

so, your answer is 3

You might be interested in

Let f(x) = 1/x^2 (a) Use the definition of the derivatve to find f'(x). (b) Find the equation of the tangent line at x=2

Verdich [7]

Answer:

(a) $f'(x)=-\frac{2}{x^3}$

(b) $y=-0.25x+0.75$

Step-by-step explanation:

The given function is

$f(x)=\frac{1}{x^2}$ .... (1)

According to the first principle of the derivative,

$f'(x)=lim_{h\rightarrow 0}\frac{f(x+h)-f(x)}{h}$

$f'(x)=lim_{h\rightarrow 0}\frac{\frac{1}{(x+h)^2}-\frac{1}{x^2}}{h}$

$f'(x)=lim_{h\rightarrow 0}\frac{\frac{x^2-(x+h)^2}{x^2(x+h)^2}}{h}$

$f'(x)=lim_{h\rightarrow 0}\frac{x^2-x^2-2xh-h^2}{hx^2(x+h)^2}$

$f'(x)=lim_{h\rightarrow 0}\frac{-2xh-h^2}{hx^2(x+h)^2}$

$f'(x)=lim_{h\rightarrow 0}\frac{-h(2x+h)}{hx^2(x+h)^2}$

Cancel out common factors.

$f'(x)=lim_{h\rightarrow 0}\frac{-(2x+h)}{x^2(x+h)^2}$

By applying limit, we get

$f'(x)=\frac{-(2x+0)}{x^2(x+0)^2}$

$f'(x)=\frac{-2x)}{x^4}$

$f'(x)=\frac{-2)}{x^3}$ .... (2)

Therefore $f'(x)=-\frac{2}{x^3}$ .

(b)

Put x=2, to find the y-coordinate of point of tangency.

$f(x)=\frac{1}{2^2}=\frac{1}{4}=0.25$

The coordinates of point of tangency are (2,0.25).

The slope of tangent at x=2 is

$m=(\frac{dy}{dx})_{x=2}=f'(x)_{x=2}$

Substitute x=2 in equation 2.

$f'(2)=\frac{-2}{(2)^3}=\frac{-2}{8}=\frac{-1}{4}=-0.25$

The slope of the tangent line at x=2 is -0.25.

The slope of tangent is -0.25 and the tangent passes through the point (2,0.25).

Using point slope form the equation of tangent is

$y-y_1=m(x-x_1)$

$y-0.25=-0.25(x-2)$

$y-0.25=-0.25x+0.5$

$y=-0.25x+0.5+0.25$

$y=-0.25x+0.75$

Therefore the equation of the tangent line at x=2 is y=-0.25x+0.75.

5 0

4 years ago

Will give point to first correct answer!!

neonofarm [45]

Answer:

f(x) = 3(0.2)^x

Step-by-step explanation:

The leading coefficient is 3 as x = 0 gives f(x) = 3.

When x = 1, f(x) = 0.6. so try :

0.6 =3(1.2)^1 = 3.6 so it's not the fiirst choice.

0.6 = 3(0.2)^1 = 0.6 so its last choice.

Check when x = -1:

3(0.2)^-1

= 3/ 0.2

= 15

3 0

2 years ago

Almira earns $50 an hour. How much does she earn in 6 hours. Write a function notation for this situation

spayn [35]

Hey there,
1 hours = $ 50
6 hours = $ 50 x 6
= $300

Hope this helps :))

<em>~Top♥</em>

5 0

4 years ago

Which of the following is an arithmetic sequence? -7/11 6/11 -5/11 4/11....

Anastasy [175]

Answer:

the right answer is $\frac{3}{4} ,-\frac{3}{5},- \frac{3}{6} ,-\frac{3}{7}$

Step-by-step explanation:

to find the reason for the sequence, the following formula must be used;

q = t2 / t1

where t2 is equal to the second value of the sequence and t1 to the first value.

q= t2/t1

q = $\frac{-\frac{3}{5} }{-\frac{3}{4} } = \frac{12}{15} =\frac{4}{5}$

8 0

4 years ago

Someone pls help plsssss?? ASAP pls

larisa [96]

1)First, understand that whatever your equation is it’s always gonna be less than 100, because she doesn’t wanna get more than 100 ft.
*>100
2) remember that Lainey already dropped 20 feet. The amount of minutes is your unknown variable (x)
3) so, note that the rate is 20 ft/minute. If you multiply 20 by the amount of minutes she has to descend (your unknown variable: x) you cancel out the “minutes” in the 20 ft/minute fraction.
(Ex. 20ft/min *multiply* x [unknown]minutes= 20ftx)
This is what you want since you need all of the terms to be the same unit to solve with algebra.
4) so, to put it all together you have, 20 times x (representing the unknown amount of minutes) plus 20 (representing the amount she has already fallen) is greater than 100

* 20x+20>100

5 0

3 years ago