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3 years ago

BRAINLIEST Change 7.2 grams to milligrams. mg

Mathematics

2 answers:

fgiga [73]3 years ago

5 0

Answer:

7200 mg

Step-by-step explanation:

multiply the mass value by 1000

Tema [17]3 years ago

3 0

Answer:

7200

Step-by-step explanation:

Multiply the mass value by 1000

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I hate copy and pastes

tangare [24]

Answer:

why they're so helpful

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

A line tangent to the curve f(x)=1/(2^2x) at the point (a, f(a)) has a slope of -1. What is the x-intercept of this tangent?

kirza4 [7]

Answer:

x-intercept = 0.956

Step-by-step explanation:

You have the function f(x) given by:

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

Furthermore you have that at the point (a,f(a)) the tangent line to that point has a slope of -1.

You first derivative the function f(x):

$\frac{df}{dx}=\frac{d}{dx}[\frac{1}{2^{2x}}]$ (2)

To solve this derivative you use the following derivative formula:

$\frac{d}{dx}b^u=b^ulnb\frac{du}{dx}$

For the derivative in (2) you have that b=2 and u=2x. You use the last expression in (2) and you obtain:

$\frac{d}{dx}[2^{-2x}]=2^{-2x}(ln2)(-2)$

You equal the last result to the value of the slope of the tangent line, because the derivative of a function is also its slope.

$-2(ln2)2^{-2x}=-1$

Next, from the last equation you can calculate the value of "a", by doing x=a. Furhtermore, by applying properties of logarithms you obtain:

$-2(ln2)2^{-2a}=-1 \\\\2^{2a}=2(ln2)=1.386\\\\log_22^{2a}=log_2(1.386)\\\\2a=\frac{log(1.386)}{log(2)}\\\\a=0.235$

With this value you calculate f(a):

$f(a)=\frac{1}{2^{2(0.235)}}=0.721$

Next, you use the general equation of line:

$y-y_o=m(x-x_o)$

for xo = a = 0.235 and yo = f(a) = 0.721:

$y-0.721=(-1)(x-0.235)\\\\y=-x+0.956$

The last is the equation of the tangent line at the point (a,f(a)).

Finally, to find the x-intercept you equal the function y to zero and calculate x:

$0=-x+0.956\\\\x=0.956$

hence, the x-intercept of the tangent line is 0.956

5 0

3 years ago

The heights of women aged 20 to 29 follow approximately the N(64, 2.82) distribution. Men the same age have heights distributed

ivann1987 [24]

Answer:96.97

Step-by-step explanation:

Given

mean height of women $\mu _w=64$

Standard deviation of height $\sigma _w=2.82$

mean height of men $\mu _=69.3$

Standard deviation of height $\sigma _m=2.71$

P $\left ( X$

P $\left ( \frac{x-\mu _w}{\sigma _w}\right )$

P $\left ( Z$

i.e. 0.9697=96.97 %

4 0

3 years ago

If f(x) = 3x +9 x when f(x) = 30

den301095 [7]

Answer:

$x=5/2$

Step-by-step explanation:

When $f(x)=30$ , we have $3x+9x=30$ .

Combining like terms on the right side, we have $12x=30$ .

Finally, dividing by $12$ we get $x=30/12$ .

We note that $30=6*5$ and $12=6*2$ , so $30/12=5/2$ .

So, $\boxed{x=5/2}$ and we're done!

3 0

2 years ago

Convert 28.7251° to degrees, minutes, and seconds. Round to the nearest second.

Leni [432]

28.7251 =

28 degrees

then take the decimal and multiply by 60 to get the minutes

so 0.7251 *60 = 43.506, use the whole number (43)

so now you have 28 degrees, 43 minutes

now take the remaining decimal ( 0.506) and multiply by 60

0.506*60= 30.36

when you have a decimal left over for the seconds, keep that as is.

so you now have 28 degrees, 43 minutes and 30.36 seconds

use ' for minutes and " for seconds

28 degrees 43' 30.36"

8 0

3 years ago