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3 years ago

What’s 5.9876 rounded to the nearest tenth? (In the picture it’s question #1)

Mathematics

2 answers:

sammy [17]3 years ago

6 0

Its six because its bigger than 5

Pani-rosa [81]3 years ago

4 0

Answer:

The answer is 6.

Step-by-step explanation:

In order to determine the answer, we have to know about notation numbers. In any number, every digit has a notation, depending on its position.

I have attached an image that shows some notation numbers.

We can see that the nearest tenth position corresponds to the first decimal digit, to the right of the decimal point.

To round the number, first we have to see where is the position where we want to cut the number. Then we have to see the number to the right of the cut position. The rule says:

If the number is equal or greater than 5, so the number to the left of the cut position will be increase one digit.
If the number is lesser than 5, so the number to the left of the cut position will not change.

In this case, the number to the right of the cut position is 8, so we have to increase the number to the left of the cut position, 9, in one digit.

Finally, the number 5.9876 rounded to the nearest tenth is 6.

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Find the volume of the solid under the plane 5x + 9y − z = 0 and above the region bounded by y = x and y = x4.

svp [43]

<span>For the plane, we have z = 5x + 9y

For the region, we first find its boundary curves' points of intersection.
x = x^4 ==> x = 0, 1.

Since x > x^4 for y in [0, 1],

The volume of the solid equals

$\int\limits^1_0 { \int\limits_{x^4}^x {(5x+9y)} \, dy } \, dx = \int\limits^1_0 {\left[5xy+ \frac{9}{2} y^2\right]_{x^4}^{x}} \, dx \\ \\ =\int\limits^1_0 {\left[\left(5x(x)+ \frac{9}{2} (x)^2\right)-\left(5x(x^4)+ \frac{9}{2} (x^4)^2\right)\right]} \, dx \\ \\ =\int\limits^1_0 {\left(5x^2+ \frac{9}{2} x^2-5x^5- \frac{9}{2} x^8\right)} \, dx =\int\limits^1_0 {\left( \frac{19}{2} x^2-5x^5- \frac{9}{2} x^8\right)} \, dx \\ \\ =\left[ \frac{19}{6} x^3- \frac{5}{6} x^6- \frac{1}{2} x^9\right]^1_0$

$=\frac{19}{6} - \frac{5}{6} - \frac{1}{2} =\bold{ \frac{11}{6} \ cubic \ units}$ </span>

8 0

3 years ago

Explain how to solve 5^(x-2)=8 using log base b of y equals log y over log b. include the solution for x in your answer. round y

miskamm [114]

The value of x will be equal to 2.477.

<h3>What is a logarithm?</h3>

The logarithm is the inverse function of exponentiation in mathematics. That is, the logarithm of a given number x is the exponent to which another fixed number, the base b, must be raised in order to obtain that number x.

The given expression will be solved as follows;-

$5^{x-2}= 8$

Taking Log on both sides.

$Log_e 5^{x-2}=Log_e8$

(x-2) Log5 = Log 8

( x-2) = Log8 / Log 5

(x - 2) = Log 8 - Log 5

(x - 2 ) = Log 3

x-2 = 0.477

x = 2.477

Therefore the value of x will be equal to 2.477.

To know more about Logarithm follow

brainly.com/question/25710806

#SPJ1

5 0

2 years ago

At the end of April, Mandy told Bill that she has read 16 books this year and reads 2 books each month. Bill wants to catch up t

klemol [59]

Mandy Increases her books by 2 per month.
Bill increases his books by 4 per month.

Month Mandy Bill
May 18 4
June 20 8
July 22 12
August 24 16
Sept 26 20
Oct 28 24
Nov 30 28
Dec 32 32
At the end of December they will have read the same amount of books.

6 0

3 years ago

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The enrollment in summer stuff camp went from 10 people to 28 in 5 days. What was the percent of the increase in enrollment

Hatshy [7]

Answer:

140%

Step-by-step explanation:

28-10 = 14 person enrolled

14/10 = 140%

5 0

3 years ago

What is GE ? <br><br><br> Enter your answer in the box.

harina [27]

Since ZY bisects GE and XY bisects EF, and both ZY and XY both bisect GF, then XY ~ ZE and ZY ~ XE.
Therefore ZE = XY = 5
And GE = 2× ZE (because bisected segments are = and therefore ×2 = long segment).
So GE = 2ZE = 2×5 = 10

6 0

3 years ago

Read 2 more answers