Without using a calculator, order the following expressions from least to greatest.

Without Using A Calculator, Order The Following Expressions From Least To Greatest.

Answers

Answer 1

Here we want to order from least to greatest the following expressions:

7.12 = 7.121212...

√75

√45

We will find that the order is: √45 < 7.12 < √75

remember that:

√x = y

such that:

y*y = x

From this, is easy to see that:

√45 < √75

Now to see where 7.1212... enters, we need to compute:

(7.1212...)*(7.1212...) = (7 + 0.1212...)*(7 + 0.1212...)

                               = 7*7 + 2*7*0.121212... + 0.1212...*0.1212...

                               = 49 + 2*7*0.121212... + 0.1212...*0.1212... > 45

So we know for sure that:

7.12 > √45

And 8*8 = 64 < 75

then:

7.12 < 8 = √64 < √75

For transitivity, we have:

7.12< √75

Then the order, from least to greatest, is:

√45 < 7.12 < √75

If you want to learn more, you can read:

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Related Questions

Question 3/3 Devon opened a bank account with $225. He saves $25
per month. What is the least amount of months it will take him to save $750?

Answers

Answer:

21 Months

Step-by-step explanation:

If he already has $225, we can do 750 - 225 to get 525. $525 represents how much more money he needs to reach his goal of $750. So we can do 525 divided by 25, since that is how much he makes per month, giving us 21. 21 is how many months it will take until he gets to $750 without spending anything.

ASAP PLS Solve this exercise using the fact that the sum of the measures of the three angles of a triangle is 180°.In a​ triangle, the measure of the first angle is twice the measure of the second angle. The measure of the third angle is 20° more
than the measure of the second angle. What is the measure of each​ angle?

Answers

Answer:

80°, 40° and 60°

Step-by-step explanation:

Name the second angle X and the first angle to 2X (because it is twice the measure of angle number two) and the third angle to 20°+X (because it was 20° more than the second angle)

so we will have an equation of

180°=2x + x + (20°+x)

160°=4x

40°=x

so the second angle is 40° as it is represented by just one X

therefore the first angle which is twice the measure is 80° and the third angle which is 20° more is 60°. hope that helps!


What are Two figures that are proportional in size

Answers

Two figures are called congruent if they are the same shape and the same size.

what does 6 x 9 equal?

Answers

Answer:

54

Step-by-step explanation:

Answer:

54

Step-by-step explanation:

There are 35 students in the drama club. 2 out of every 5 students in the club are boys. How many student clubs are boys?


Answers

Answer:

14

Step-by-step explanation:

what is the expanded form of 1 to the 10th power?​

Answers

Answer:

1

Step-by-step explanation:

since 1*1 will always be 1, 1 raised to any power will be 1.

To eliminate 6X you would Transform 2x by multiplying what number ?

Answers

Answer:

-3

Step-by-step explanation:

to eliminate 6x we need the same no. 6x but that should be negative. so

2X × -3 = -6X

and

6X+(-6X)=0

I am a two digit number
My ones digit is equal to 7minus 3
My tens digit and my ones when added together equals to an even number
What number am I?

Answers

I think 14, because 7-3=4 and then 10+4= and even number

Whats (2^–1)^3 with the same base but one exponent??

Answers

Step-by-step explanation:

[tex] ({2}^{ - 1} )^{3} [/tex]

[tex] {2}^{ - 3} [/tex]

........

Answer:

2^-3

Step-by-step explanation:

When multiplying two exponents with the same base, we basically add the exponents.

I need help asap thx.

Answers

Answer:

35

Step-by-step explanation:

because the straight line is 180 so if you add 35+55=90 and 90+90=180

Answer:

35°

Step-by-step explanation:

What I did was look at ∠ABC and know that collinear is a straight line, and that a straight line is equal to 180°. Then I saw that ∠ABD was a right angle or 90° and that ∠BCE was equal to 55°, so I added those 2 together and got 145°. then I subtracted that from the 180°. because that is what a straight line equals and I got 35°. So, I would say ∠DBE is equal to 35°.

a man spent 58% of his income and the amount of money left was $210. Find his income​

Answers

Answer:

500 $

Step-by-step explanation:

[tex]\frac{42\%}{210}=\frac{100\%}{x}[/tex]

[tex]\frac{\frac{21}{50}}{210}=\frac{1}{x}[/tex]

[tex]\frac{21}{50}x=210\\[/tex]

[tex]\frac{21}{50}x\cdot \:50=210\cdot \:50\\[/tex]

x=500

<3

Red

Suppose that COP and TOD are vertical angles, m COP = 11x - 17
and m TOD = 9x + 11.

Determine the Measure of COD
Determine the measure of POT

Answers

Answer:

Step-by-step explanation:

If COP and TOD are vertical angles, then they are equal to each other because vertical angles are equal.

m COP  =  m TOD

Given

COP = 11x - 17

TOD = 9x + 11.

Substitute:

11x-17 = 9x+11

11x-9x = 11+17

2x = 28

x = 28/2

x = 14

Get <COD

<COP = 11(14)-17

<COP = 154-17

<COP = 137

<COD = 180-<COP

<COD = 180-137

<COD = 43°

Similarly:

<POT = 180 - <TOD

<POT = 180 - [9(14)+11]

<POT = 180 - 137

<POT = 43°

Find the value of x and y that satisfy both of the equalities x /y= 2/3 and y/12 = 3/4.

Answers

Answer:

x=6;y=9

Step-by-step explanation:

First you try to find y in the second equation --> y/12=3/4

You divide 12 by 4 to see how many times y/12's denominator and numerator is bigger. 12/4 is 3, so to find y you multiply 3*3. so 9/12=3/4. To check this, you multiply 3 on each side of the fraction -->

3*3=9  4*3=12.

Then, you can just put y into the first equation, which is x/y=2/3. Pluck that in, and you get x/9=2/3. Do the same thing you did in the first step, and you should get 6/9=2/3. Hope this helped :)

Answer:

x=6; y=9

Step-by-step explanation:

John was gifted a pack of crayons. He gave 13 crayons to his friend Rhea
and was left with 11 crayons. How many crayons did the pack contain?

Answers

Answer:

24

Step-by-step explanation:

13+11=24

so 13(the amount he gave Rhea) +11(the amount he has left) = 24 . total in the container was 24 .

1) x- y=-2
4x - y = 1

Answers

Answer:

x=1 y=3

Step-by-step explanation

Which is the value of this expression when a=5 and k=-2?
[3^2a^-2]^k
[3a^-1]

Answers

Answer: 125/27 as a decimal 4.62963

Step-by-step explanation:

((32)(5−2))−2(3(5−1))

((32)(5−2))−2(3(5−1))

Based on the lesson, identify the first operation needed to solve the following equation. x/11 - 2 = 3 multiplication subtraction addition division

Answers

The number 2 should be added to both sides of the given linear

equation to enable the variable x be made the subject of the equation.

Response:

The first operation that needed to solve the equation is; Addition

Which sequence of steps are needed to solve the given equation?

The given equation is presented as follows;

[tex]\mathbf{\dfrac{x}{11} - 2} = 3[/tex]

The solution of the above equation van be found by making x the

subject of the equation.

Removing the 2 from the left hand side of the equation will isolate the [tex]\dfrac{x}{11}[/tex]

, from which the value of x can be found by multiplying by 11.

First operation;

To remove the 2, we have;

2 - 2 = -2 + 2 = 0, adding 2 to both sides of the equation gives;

[tex]\dfrac{x}{11} - 2 \mathbf{+ 2 }= 3 + 2[/tex]

[tex]\dfrac{x}{11} + 0 = 3 + 2 = 5[/tex]

[tex]\dfrac{x}{11} = 5[/tex]

Second operation;

[tex]\dfrac{x}{11} \times 11 = 5 \times 11 = 55[/tex]

x = 55

The first operation that needs to be needed to solve the given equation

is therefore;

Addition

Learn more about solving equations here:

https://brainly.com/question/26589787

Answer: It would be addition

Mark as brainliest <3

The quotient of a number and 3 is less than 24

Answers

Answer:

6 is the answer

Step-by-step explanation:

determine the range of the following graph:

Answers

Answer:

The range of a function is the set of outputs the function can give

The y-axis on the graph shows as the output of the function

From the graph, we can see that the outputs of this specific function range from 0 to 5

Therefore, the range of this function is:   [0 , 5]

I need help on this will give brainlist

Answers

The answer is A because the point of reflection is located on -1 while it reflects horizontally

If a seed is planted, it has a 70% chance of growing into a healthy plant.

If 8 seeds are planted, what is the probability that exactly 4 don't grow?

Answers

Answer:

Thus, the probability that exactly 4 don't grow is 0.1361 or 13.61%

Step-by-step explanation:

Binomial Distribution

Consider a random experience that has only two possible outcomes: Success or Failure. Let's call p to the probability that the event has a successful outcome and q to the failure outcome.

It follows that p+q=1, or q=1-p.

Now repeat the random experience n times. We want to calculate the probability of getting x successful outcomes. This can be done with the Binomial Distribution formula:

[tex]\displaystyle P_{x} = {n \choose x}\cdot p^{x}\cdot q^{n-x}[/tex]

Where :

[tex]\displaystyle {n \choose x}[/tex]

Is the number of combinations, calcula ted as follows:

[tex]\displaystyle {n \choose x} =_nC_x=\frac{n !}{x ! (n-x) !}[/tex]

A planted seed has a 70% chance of growing into a healthy plant. The successful outcome has p=0.7 and q=0.3.

The experience is repeated n=8 times. We want to calculate the probability of having 4 failures (not growing seeds) or x=4 successes.

Apply the formula:

[tex]\displaystyle P_{4} = {8 \choose 4}\cdot 0.7^{4}\cdot 0.3^{8-4}[/tex]

[tex]\displaystyle P_{4} = 70\cdot 0.7^{4}\cdot 0.3^{4}[/tex]

[tex]\displaystyle P_{4} = 0.1361[/tex]

Thus, the probability that exactly 4 don't grow is 0.1361 or 13.61%

If Khalid uses 3 liters of paint to cover 8 square meters of wall. How much paint does Khalid need to paint 40 square meters of the wall.

Answers

Answer:

15l

Step-by-step explanation:

There are 5 8sq m in 40sq m

total paint is 5*3=15

Which equation is true

Answers

Answer:

A

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

a fraction is basically saying the numbers are being divided so if you do -20 divided by 2 then you would get negative 10 since a negative divided by a positive would be a negative.

need help again please

Answers

So the lines would just go straight across

If f(x) = -3x + 4 and g(x) = 2, solve for the value of x for
which f(x) = g(x) is true.
x=
y = f(x)
3
y = g(c)
2
1
1
х
-2 -1
2
3

Answers

Answer:

Examine the chart and graph.

On the left is a 5-column table with 10 rows titled Religion in North America. The first column is titled Religion with entries Christianity, Unaffiliated, Judaism, Buddhism, Islam, Hinduism, Other Religions, Folk Regions, and Total. The second column is titled 2010 population with entries 266,630,000; 59,040,000; 6,040,000; 3,860,000; 3,480,000; 2,250,000; 2,200,000, 1,020,000; and 344,530,000. The third column is titled percent in 2010 with entries 77.4, 17.1, 1.8, 1.1, 1.0, 0.7, 0.6, 0.3, and 100.0. The fourth column is titled 2050 Projected Population with entries 286,710,000; 111,340,000; 5,920,000; 6,080,000; 10,350,000; 5,850,000; 6,540,000; 2,630,000; and 435,420,000. The fifth column is titled percent in 2050 with entries 65.8, 25.6, 1.4, 1.4, 2.4, 1.3, 1.5, 0.6, and 100.0. On the right is a pie chart titled Religions Practiced in Central America. Christianity is 95.86 percent, Agnostic 2.42 percent, Native Religions 0.99 percent, Atheism 0.15 percent, Spiritism 0.13 percent, and Other is 0.44 percent.

Which is the

Step-by-step explanation:

Is -4/-5 positive or negative

Answers

Answer:

Positive

Step-by-step explanation:

A negative divided by a negative can cancel out to make a positive. So, [tex]\frac{-4}{-5} = \frac{4}{5}[/tex].

I hope this helps!

Answer:

i believe its positive because 2 negatives make a positive

Write thirty eight thousandths as a decimal

Answers

Answer:

0.0038

Step-by-step explanation:

The thousands spot is four away from the decimal so you would put the eight right there, the three in front of it, and fill in the other spots with zeros.

0.0038 the thousands spot is four away so you would put the decimal at that spot sorry if that’s confusing I don’t know how to explain stuff very well lol

if there is 99 apples and i take one of them how many apples are there now

Answers

you would have 98 apples

Which ones no long answer just which one

Answers

A,C,D

(going top left to bottom right)

(a) b

(c) (d)

e f

What is the value of x in the equation -6x = 5x + 22?

Options:
A. ) –22
B. ) –2
C. ) 2
D. )22
Thank you!

Answers

Answer:

D

Step-by-step explanation:

collect like terms and divide by -11

The awnser is -2 (b)
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