Round 2.327 liters to the nearest tenth of a liter

Answers

Answer 1

Answer: The next larger tenth is 2.4 liters .
The next smaller tenth is 2.3 liters.

2.327 liters is nearer to 2.3 liters than it is to 2.4 liters.

The nearest tenth of a liter is 2.3 liters.

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Choose the correct simplification of x to the 3rd power over y to the 5th power all raised to the 2nd power.x to the 5th power over y to the 7th power
x over y to the 3rd power
x to the 6th power over y to the 10th power
x6y10

Answers

Answer:

Option 3 - x to the 6th power over y to the 10th power

Step-by-step explanation:

Given : Expression x to the 3rd power over y to the 5th power all raised to the 2nd power.

To find : Choose the correct simplification of the expression?

Solution :

Writing the expression in value form,

x to the 3rd power = $x^3$

y to the 5th power= $y^5$

x to the 3rd power over y to the 5th power all raised to the 2nd power =

$((x^3)/(y^5))^2$

Now applying identity,

$((x)/(y))^a=(x^a)/(y^a)$

$=((x^3)/(y^5))^2$

$=((x^3)^2)/((y^5)^2)$

Using identity, $(x^a)^b=x^(a.b)$

$=(x^(3.2))/(y^(5.2))$

$=(x^(6))/(y^(10))$

In word form, x to the 6th power over y to the 10th power.

Therefore, Option 3 is correct.

$\left( \cfrac{x^3}{y^5} \right)^2=\cfrac{(x^3)^2}{(y^5)^2}=\cfrac{x^(3*2)}{y^(5*2)}=\cfrac{x^(6)}{y^(10)}$

3,628,800 what is the place value of the 3 in this number?

Answers

That is the millions place.

3,628,800
^Millions

3,628,800
^Hundred thousands

3,628,800
^Ten thousands

3,628,800
^Thousands

3,628,800
^Hundreds

3,628,800
^Tens
3,628,800
^Ones

the 3 in 3,628,800 is three millions because the last zero is ones,the other zero is tens,the eight is hundreds and so on...

A complement of an angle measures 10 degrees more than the measure of the angle. What is the measure of the angle and its complement? Explain your reasoning.

Answers

compelemttry angles add to 90
angles are x and y
x+y=90

x is 10 more than y
x=10+y
sub

10+y+y-90
10+2y=90
minus 10
2y=80
divide 2
y=40

sub back
x=10+y
x=10+40
x=50

numbers are 40 and 50 degrees

The angle is 40 degrees and its complement is 50 degrees. Complementary angles add up to 90 degrees. You know the angle is 40 degrees because 40 is the only angle measure that has a complement 10 more than itself.

What is the mean of the following data values?53, 71, 89, 10, 87

A. 62
B. 71
C. 82
D. 51

Answers

Answer:

Mean of the given data = 62

Step-by-step explanation:

53, 71, 89, 10, 87

To find mean of the given data values

We add all the numbers and divide by the number of datas

We are given with 5 numbers

LEts add all the numbers

53 +71+ 89+ 10+87= 310

Mean = $(sum of numbers )/(number of data)$

= $(310)/(5)$ = 62

A. 62. If you add up all of the numbers, you get 310, then take this number and divide it by 5. you divide it by five because there are five numbers given.

Please what is the solution of(2x+1) (x-3) < 0?

Answers

Answer:

-1/2,3

Step-by-step explanation:

(2x+1)(x−3)<0

For the product to be negative, 2x+1 and x−3 have to be of the opposite signs. Consider the case when 2x+1 is positive and x−3 is negative.

2x+1>0

x−3<0

The solution satisfying both inequalities is x∈-1/2,3

Consider the case when x−3 is positive and 2x+1 is negative.

x−3>0

2x+1<0

This is false for any x.

x∈∅

The final solution is the union of the obtained solutions.

I need help really bad I'm gonna give 25 points who helps me

Answers

I hope this helps you

Ans

Step-by-step explanation:

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