All categories

3 years ago

What is 15.7 round to the nearest 10th

Mathematics

1 answer:

Anna [14]3 years ago

5 0

15.7 is already rounded to the nearest 10th.

You might be interested in

Find f. f ″(x) = x^−2, x > 0, f(1) = 0, f(6) = 0

marin [14]

If you do in fact mean $f(1)=f(6)=0$ (as opposed to one of these being the derivative of $f$ at some point), then integrating twice gives

$f''(x) = -\dfrac1{x^2}$

$f'(x) = \displaystyle -\int \frac{dx}{x^2} = \frac1x + C_1$

$f(x) = \displaystyle \int \left(\frac1x + C_1\right) \, dx = \ln|x| + C_1x + C_2$

From the initial conditions, we find

$f(1) = \ln|1| + C_1 + C_2 = 0 \implies C_1 + C_2 = 0$

$f(6) = \ln|6| + 6C_1 + C_2 = 0 \implies 6C_1 + C_2 = -\ln(6)$

Eliminating $C_2$ , we get

$(C_1 + C_2) - (6C_1 + C_2) = 0 - (-\ln(6))$

$-5C_1 = \ln(6)$

$C_1 = -\dfrac{\ln(6)}5 = -\ln\left(\sqrt[5]{6}\right) \implies C_2 = \ln\left(\sqrt[5]{6}\right)$

Then

$\boxed{f(x) = \ln|x| - \ln\left(\sqrt[5]{6}\right)\,x + \ln\left(\sqrt[5]{6}\right)}$

3 0

2 years ago

Sam and Liam raced each other up and then down the hill. Sam's average speed up the hill was 1 mph, and his average speed down w

Furkat [3]

Answer:

Sam's time was 1 hour and 6.66 minutes (or 1 and 1/9 hours)

Liam's time was was 1 hour

So in conclusion, Liam was faster

Step-by-step explanation:

We got Sam's time by 1/1 because Sam was walking 1 mph and the length to reach the top of the hill is 1 mile. So it would take Sam 1 hour to walk 1 mile. Walking down the hill Sam's speed was 9 mph. So the equation would be 1/9. So you would get 1/9. 1/9 of 60 is 6.66 repeating.

For Liam it is pretty simple. Since he is going up the hill at 2 mph and the length of the bottom of the hill to the top is 1 mile, it would be 30 minutes. Repeat this for the top to the bottom and in total it would be 1 hour.

Hope this helps

3 0

3 years ago

Courtlynn combines 7/8 cup sour cream with 1/2 cup cream cheese. She then divides the mixture between 2 bowls. How much mixture

STALIN [3.7K]

$\frac{11}{4}$ this is because when you add $\frac{7}{8}$ and $\frac{1}{2}$ you get $\frac{11}{8}$ which you'd then divide like this

$( \frac{11}{1} ) ( \frac{2}{8})
=( \frac{11}{1} ) ( \frac{1}{4})
= \frac{11}{4}$

If you wanted to simplify that it would be $2 \frac{3}{4}$

4 0

4 years ago

The line through (6, 1) and (-3, 5) in slope intercept form

Nikolay [14]

Answer:

y=-4/9x+11/3

Step-by-step explanation:

Reminder: slope intercept form is y=mx+b where m= slope and b=y intercept

Two points are given; (6,1) and (-3,5)

First, find the slope

Reminder: slope is y2-y1/x2-x1

You can plug the numbers given into the equation to get 5-1/-3-6 which equals 4/-9

Now, we can use slope point form which is y-y1=m(x-x1)

Once again, plugging the numbers in (any one of the two points will work) will get

y-1=4/-9(x-6)

Simplifying it will get y=-4/9x+11/3.

8 0

3 years ago

Which of the following is an equivalent representation of 5^-4 ?

Afina-wow [57]

Answer:

Step-by-step explanation:

5 0

4 years ago