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ahrayia [7]
3 years ago
7

How do I round 38.25 to a whole number?

Mathematics
1 answer:
serious [3.7K]3 years ago
8 0

Hi there! To round a number, you need to look at the numbers behind the decimal point. In this case, those two numbers are 2 and 5. Since 5 is in the range up rounding up (which is 5-10), we can round .25 up to .3. Now, we have 38.3. Because 3 is less than 5, we can round 38.3 down to 38.

Hope this helps!

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h(x)= \dfrac{1}{8} x^3 - x^2h(x)= 8 1 ​ x 3 −x 2 h, left parenthesis, x, right parenthesis, equals, start fraction, 1, divided b
Nesterboy [21]

Answer:

\dfrac{1}{2}

Step-by-step explanation:

Given the function h(x)=\dfrac{1}{8}x^3-x^2

The average rate of change of the function h(x) over the interval a\le x\le b can be calculated using formula

\dfrac{h(b)-h(a)}{b-a}

In your case,

a=-2,\\ \\b=2,

so the average rate of change is

\dfrac{h(2)-h(-2)}{2-(-2)}\\ \\=\dfrac{(\frac{1}{8}\cdot 2^3-2^2)-(\frac{1}{8}\cdot (-2)^3-(-2)^2)}{4}\\ \\=\dfrac{(1-4)-(-1-4)}{4}\\ \\=\dfrac{-3+5}{4}\\ \\=\dfrac{2}{4}\\ \\=\dfrac{1}{2}

6 0
3 years ago
I need some help graphing this
Romashka [77]

Answer:

1.512445e+216

Step-by-step explanation:

3 0
3 years ago
How do I multiply this mixed fraction?
valentinak56 [21]
Change the fraction into a decimal
3 0
3 years ago
Read 2 more answers
Emily made a fruit salad with 1 2/3 cups of grapes 2 1/4
tatyana61 [14]

Answer:

See below.

Step-by-step explanation:

1 2/3 + 2 1/4 + 1/6 cups.

this works out to 4 1/12 cups.

5 0
3 years ago
a student walks 50m on a bearing 0.25 degrees and then 200m due east how far is she from her starting point.​
Inessa05 [86]

Answer:

Step-by-step explanation:

I'm going to use Physics here for this concept of vectors. Here are some stipulations I have set for the problem (aka rules I set and then followed throughout the problem):

** I am counting the 50 m as 2 significant digits even though it is only 1, and I am counting 200 as 3 significant digits even though it is only 1. 1 sig dig doesn't really give us enough accuracy, in my opinion.

** A bearing of .25 degrees is measured from the North and goes clockwise; that means that measured from the x axis, the angle is 89.75 degrees. This is the angle that is used in place of the bearing of .25 degrees.

** Due east has an angle measure of 0 degrees

Now let's begin.

We need to find the x and y components of both of these vectors. I am going to call the first vector A and the second B, while the resultant vector will be C. Starting with the x components of A and B:

A_x=50cos(89.75) so

A_x=.22

B_x=200cos(0) so

B_x=200 and we need to add those results together. Due to the rules for adding significant digits properly, the answer is

C_x=200 (and remember I am counting that as 3 sig fig's even though it's only 1).

Now for the y components:

A_y=50sin(89.75) so

A_y=50 (which I'm counting as 2 sig fig's)

B_y=200sin(0) so

B_y=0 and we need to add those results together.

C_y=50

Now for the resultant magnitude:

C_{mag}=\sqrt{(200)^2+(50)^2}  and that gives us a final magnitude of

C_{mag}=206 m

Now for the angle:

Since both the x and y components of the resultant vector are in quadrant 1, we don't need to add anything to the angle to get it right, so

tan^{-1}(\frac{50}{200})=14

The girl is 206 meters from her starting point at an angle of 14 degrees

4 0
3 years ago
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