Distinguish rational numbers from the following.
a. √25 b. √23 c. 1.01 d. 2.323223222... e. 3.786

Answers

Answer 1

Answer:

spongebob at the bottom of the sea

Step-by-step explanation:

In a plain, robust, conversational style, the author known as “Elena Ferrante” has captivated readers worldwide with her chronicle of a complicated friendship between two women.


Related Questions

please help quick!!!

Answers

I couldn’t help because I can’t see the equations below

Evaluate u + xy, for u = 20, x = 5, and y = 7.

Answers

Answer:

55

Step-by-step explanation:

u + xy, for u = 20, x = 5, and y = 7

u + xy = 20 + 5 * 7 = 20 + 35 = 55

Step-by-step explanation:

hear is your please check attachment

which is the graph of g(x)

Answers

Answer:

The 1st graph is the answer and matches

-x/2 + 2   -2  ≤ x < 2 because it is equal to -2

The 4th graph is incorrect slightly at = 2x - 3   x  ≥ 2

as  the graph is descending and shows x = -1/2 as the gradient 4/-2 = -1/2

m = -1/2 would be the equation.

Therefore 2 (-1/2) = -1 and  -1 - 3 = -4 and 4 is not  greater than 2 so is wrong/.

Step-by-step explanation:

If 30 men can complete a work in 40 days,
In how many days 15 men will complete
it?

Answers

Answer:

80

Step-by-step explanation:

djdjdjdjdjdjkkkdkjrr

80 days because you have half the men so you need to double the number of days to make up for the missing men

Determine whether the series is convergent or divergent by expressing sn as a telescoping sum.
[infinity]
Σ 8/n^2-1
n=3

Answers

Answer:

The sum converges at: [tex]\frac{10}{3}[/tex]

Step-by-step explanation:

Given

[tex]\sum\limits^{\infty}_{n =2} \frac{8}{n^2 - 1}[/tex]

Express the denominator as difference of two squares

[tex]\sum\limits^{\infty}_{n =2} \frac{8}{(n - 1)(n+1)}[/tex]

Express 8 as 4 * 2

[tex]\sum\limits^{\infty}_{n =2} \frac{4 * 2}{(n - 1)(n+1)}[/tex]

Rewrite as:

[tex]4 * \sum\limits^{\infty}_{n =2} \frac{2}{(n - 1)(n+1)}[/tex]

Express 2 as 1 + 1 + 0

[tex]4 * \sum\limits^{\infty}_{n =2} \frac{1+1+0}{(n - 1)(n+1)}[/tex]

Express 0 as n - n

[tex]4 * \sum\limits^{\infty}_{n =2} \frac{1+1+n - n}{(n - 1)(n+1)}[/tex]

Rewrite as:

[tex]4 * \sum\limits^{\infty}_{n =2} \frac{(n + 1)-(n - 1)}{(n - 1)(n+1)}[/tex]

Split

[tex]4 * \sum\limits^{\infty}_{n =2} \frac{(n + 1)}{(n - 1)(n+1)}-\frac{(n - 1)}{(n - 1)(n+1)}[/tex]

Cancel out like terms

[tex]4 * \sum\limits^{\infty}_{n =2} \frac{1}{(n - 1)}-\frac{1}{(n+1)}[/tex]

In the above statement, we have:

[tex]a_3 + a_5 = 4[(\frac{1}{2} - \frac{1}{4}) + (\frac{1}{4} - \frac{1}{6})][/tex]

[tex]a_3 + a_5 = 4[(\frac{1}{2} - \frac{1}{6})][/tex]

Add [tex]a_7[/tex]

[tex]a_3 + a_5 + a_7= 4[(\frac{1}{2} - \frac{1}{6}) + (\frac{1}{7 - 1} - \frac{1}{7+1})][/tex]

[tex]a_3 + a_5 + a_7= 4[(\frac{1}{2} - \frac{1}{6}) + (\frac{1}{6} - \frac{1}{8})][/tex]

[tex]a_3 + a_5 + a_7= 4[(\frac{1}{2} - \frac{1}{8})][/tex]

Notice that the pattern follows:

[tex]a_3 + a_5 + a_7 + ...... + a_{k}= 4[(\frac{1}{2} - \frac{1}{k+1})][/tex]

The above represent the odd sums (say S1)

For the even sums, we have:

[tex]4 * \sum\limits^{\infty}_{n =2} \frac{1}{(n - 1)}-\frac{1}{(n+1)}[/tex]

In the above statement, we have:

[tex]a_4 + a_6 = 4[(\frac{1}{3} - \frac{1}{5}) + (\frac{1}{5} - \frac{1}{7})][/tex]

[tex]a_4 + a_6 = 4[(\frac{1}{3} - \frac{1}{7})][/tex]

Add [tex]a_8[/tex] to both sides

[tex]a_4 + a_6 +a_8 = 4[(\frac{1}{3} - \frac{1}{7}) + \frac{1}{7} - \frac{1}{9}][/tex]

[tex]a_4 + a_6 +a_8 = 4[\frac{1}{3} - \frac{1}{9}][/tex]

Notice that the pattern follows:

[tex]a_4 + a_6 + a_8 + ...... + a_{k}= 4[(\frac{1}{3} - \frac{1}{k+1})][/tex]

The above represent the even sums (say S2)

The total sum (S) is:

[tex]S = S_1 + S_2[/tex]

[tex]S =4[(\frac{1}{2} - \frac{1}{k+1})] + 4[(\frac{1}{3} - \frac{1}{k+1})][/tex]

Remove all k terms

[tex]S =4[(\frac{1}{2}] + 4[(\frac{1}{3}][/tex]

Open bracket

[tex]S =\frac{4}{2} + \frac{4}{3}[/tex]

[tex]S =\frac{12 + 8}{6}[/tex]

[tex]S =\frac{20}{6}[/tex]

[tex]S =\frac{10}{3}[/tex]

The sum converges at: [tex]\frac{10}{3}[/tex]

Which number is irrational?
A. [tex]\frac{\pi }{6}[/tex]
B. 8.1
C. Recurring decimal 11.9
D. [tex]\sqrt{36}[/tex]

Answers

A. pi/6

Irrational numbers are not able to be written as fractions or non-recurring decimals.

B. 8.1 = 81/10
C. 11.999999.... = 12 = 12/1
D. sr(36) = 6 = 6/1

pi is already irrational so dividing it by 6 does not fix that

Consider the continuous random variable X, which has a uniform distribution over the interval from 20 to 28.
a. What’s the probability density function?
b. What’s the probability that X will take on a value between 21 and 25?
c. What’s the probability that X will take on a value of at least 26?

Answers

Answer:

a) The probability distribution is [tex]f(x) = \frac{1}{8}[/tex]

b) 0.5 = 50% probability that X will take on a value between 21 and 25.

c) 0.25 = 25% probability that X will take on a value of at least 26.

Step-by-step explanation:

Uniform probability distribution:

An uniform distribution has two bounds, a and b.

The probability of finding a value of at lower than x is:

[tex]P(X < x) = \frac{a - x}{b - a}[/tex]

The probability of finding a value between c and d is:

[tex]P(c \leq X \leq d) = \frac{d - c}{b - a}[/tex]

The probability of finding a value above x is:

[tex]P(X > x) = \frac{b - x}{b - a}[/tex]

Uniform distribution over the interval from 20 to 28.

This means that [tex]a = 20, b = 28[/tex]

a. What’s the probability density function?

The probability density function of the uniform distribution is:

[tex]f(x) = \frac{1}{b - a}[/tex]

In this question:

[tex]f(x) = \frac{1}{28 - 20} = \frac{1}{8}[/tex]

b. What’s the probability that X will take on a value between 21 and 25?

[tex]P(21 \leq X \leq 25) = \frac{25 - 21}{28 - 20} = \frac{4}{8} = 0.5[/tex]

0.5 = 50% probability that X will take on a value between 21 and 25.

c. What’s the probability that X will take on a value of at least 26?

[tex]P(X > 26) = \frac{28 - 26}{28 - 20} = \frac{2}{8} = 0.25[/tex]

0.25 = 25% probability that X will take on a value of at least 26.

Now that we know that 2π is about 6.28, π2 is about 9.86, and 58−−√ is between 7 and 8, which choice represents the correct order of these expressions from least to greatest: 58−−√, 2π, π2, 8?

Answers

Answer:

use miss r sir hope I helped you

The height of a triangle is 4 m more than twice the length of the base. The area of the triangle is 35 m^2 . Find the height of the triangle

Answers

Answer:

Step-by-step explanation:

Let the Base of the  △  be  x

Then the Height will be  2 x + 4

Area of △ = 1 2 b h

Where, b = b a s e , h = h e i g h t , A r e a = 35

(in this case)

Substitute the values into the equation → 35 = 1 2 ( 2 x + 4 ) ( x ) → 35 = ( 2 x + 4 ) 2 ( x ) →

35 = ( x + 2 ) ( x ) → 35 = x 2 + 2 x

Subtract  35  both sides

→ 0 = x ^2 + 2 x − 35

Rewrite the equation in the Standard form

x ^2 + 2 x − 35 = 0

Factor the equation

→ ( x + 7 ) ( x − 5 ) = 0

So we have  

x = − 7 , 5

numbers So  x = 5

They have asked us to find the Height

So, ⇒ H e i g h t = 2 x + 4 = 2

100 POINTS!!!!!!!!!!!!!!!!!

Answers

Answer:

A = 0.25*j + 1

Step-by-step explanation:

The question presented here is an application of linear models. The $1 amount is fixed and does not depend on any factor such as the cups of orange juice sold.

Furthermore, we are informed that we earn $0.25 for every cup of orange juice sold. This means that we shall earn 0.25 j by selling  j cups of orange juice.

The variable total amount, A will thus depend on the fixed amount of $1 and the variable income 0.25 j.

The equation in two variables that will represent the total amount A (in dollars) you have after selling j cups of orange juice will thus be;

A = 0.25*j + 1

Hope this helped.....

Answer:

5 points huh thats mean

Step-by-step explanation:

Help please asp. !!!

Answers

Answer:

16.8 [tex]m^{3}[/tex]

Step-by-step explanation:

Find your answer by using the formula of a cone (v= [tex]\frac{1}{3}[/tex]π[tex]r^{2}[/tex]h)

r= 2 (half of your diameter, which is 4)

h= 4

By inserting your radius and height, you get v= [tex]\frac{1}{3}[/tex]π([tex]2^{2}[/tex])4.

Put that into a calculator and you get 16.75516, which rounds to 16.8.

Easy question please help

Answers

Answer:

[tex]y = 3x - 2[/tex]

Step-by-step explanation:

Required

The equation of the above linear function

From the table, we have:

[tex](x_1,y_1) = (1,1)[/tex]

[tex](x_2,y_2) = (2,4)[/tex]

Calculate slope (m)

[tex]m = \frac{y_2 -y_1}{x_2 -x_1}[/tex]

[tex]m = \frac{4 -1}{2 -1}[/tex]

[tex]m = \frac{3}{1}[/tex]

[tex]m =3[/tex]

The equation is:

[tex]y = m(x - x_1) + y_1[/tex]

So, we have:

[tex]y = 3(x - 1) + 1[/tex]

[tex]y = 3x - 3 + 1[/tex]

[tex]y = 3x - 2[/tex]

please help! (listing BRAINLIST and giving points) ​ :)​

Answers

Answer:

sin∅ = 12/13

Step-by-step explanation:

use pythagorean theorem to find the missing side

a² + 5² = 13²

a² = 13² - 5²

a² = 169 - 25

a² = 144

a = 12

-----------------------------

Sin∅ = opp/hyp

sin∅ = 12/13

A universal set U consists of elements. If sets​ A, B, and C are proper subsets of U and ​n(U)​, ​n(A ​B)​n(A ​C)​n(B ​C)​, ​n(A B ​C)​, and​ n(A B ​C)​, determine each of the following.

a. n(AUB)
b. n(A'UC)
c. n(AnB)'

Answers

Answer:

[tex]n(A\ u\ B) = 10[/tex]

[tex]n(A'\ u\ C) = 10[/tex]

[tex]n(A\ n\ B)' = 6[/tex]

Step-by-step explanation:

Given

[tex]n(U) = 12[/tex]

[tex]n(A\ n\ B) =n(A\ n\ C) = n(B\ n\ C) =6[/tex]

[tex]n(A\ n\ B\ n\ C)=4[/tex]

[tex]n(A\ u\ B\ u\ C)=10[/tex]

Required

Solve a, b and c

There are several ways to solve this; the best is by using Venn diagram (see attachment for diagram)

Solving (a):

[tex]n(A\ u\ B)[/tex]

This is calculated as:

[tex]n(A\ u\ B) = n(A) + n(B) - n(A\ n\ B)[/tex]

From the attachment

[tex]n(A) = 0+2+4+2 = 8[/tex]

[tex]n(B) = 0+2+4+2 = 8[/tex]

[tex]n(A\ n\ B) = 4 +2 = 6[/tex]

So:

[tex]n(A\ u\ B) = 8 + 8 - 6[/tex]

[tex]n(A\ u\ B) = 10[/tex]

Solving (b):

[tex]n(A'\ u\ C)[/tex]

This is calculated as:

[tex]n(A'\ u\ C) = n(A') + n(C) -n(A'\ n\ C)[/tex]

From the attachment

[tex]n(A) = n(U) - n(A) = 12 - 8 = 4[/tex]

[tex]n(C) = 0+2+4+2 = 8[/tex]

[tex]n(A'\ n\ C) = 2[/tex]

So:

[tex]n(A'\ u\ C) = 4 + 8 - 2[/tex]

[tex]n(A'\ u\ C) = 10[/tex]

Solving (c):

[tex]n(A\ n\ B)'[/tex]

This is calculated as:

[tex]n(A\ n\ B)' = n(U) - n(A\ n\ B)[/tex]

[tex]n(A\ n\ B)' = 12- 6[/tex]

[tex]n(A\ n\ B)' = 6[/tex]

a phone company uses the expression 1.25 + 0.10m to calculate the cost of a phone call that lasts m minutes. what is the cost of a call that lasts 20 minutes?

Answers

Answer:

[tex]f(20) =3.25[/tex]

Step-by-step explanation:

Given

[tex]f(m) = 1.25 + 0.10m[/tex]

Required

[tex]f(20)[/tex]

We have: [tex]f(m) = 1.25 + 0.10m[/tex]

Substutute 20 for m

[tex]f(20) =1.25 + 0.10*20[/tex]

[tex]f(20) =1.25 + 2[/tex]

[tex]f(20) =3.25[/tex]

HELPPPP I need help with this question!!!!

Answers

I think the 4th one but Im not too sure please forgive me if I'm wrong.

See the image for question :)

Answers

Answer:

it is simple just compare the ratios simple as that

but I will need to know all the formula s

The price of admission to a World War I history museum is $8.29 for adults and $6.47 for children. A family of 2 adults and 4 children visits the museum. What is the total cost, in dollars, of admission?

Answers

Answer:

cost for adults=$8.29

cost for children=$6.47

cost for 2 adults and 4 children are =$(2×8.29)+(4×6.47)=$16.58+25.88=$42.46

Which of the following expressions is equivalent to 45 - 165n?
Select all that apply.
A. 3(15 - 165n)
B. 5(9 -33n)
C. 15(5 - 33n)
D. 9(5 - 33n)
E. 15(3 - 11n)

Answers

Answer:

E

Step-by-step explanation:

45-165n

15(3-11n)

basically

45/15=3. 165/15=11

Solve the problem 35×2/7=

Answers

35 × 2/7 =

2 × 35 / 7 =

2 × 5 × 7 / 7 =

Simplify 7

2 × 5 =

10

Which is the better value for money 250g of coffee R12,35 or 450g of the same coffee at R21,95

Answers

Answer:

450g coffee or 21.95$ coffee

Step-by-step explanation:

again, divide whichever pair you want to and you still have the same answer whether it is less or more: 450/250 is math would be 9/5 and 21.95/12.35 is 1.77732793522. so if we find the true value of 9/5, which is 1.8, and since it is more that the original price that means the more coffe you get, the cheaper it gets (basically all of life is like this), so the 450 g coffee is worth alot less than and is bigger than the 250 g coffee

please can anybody help me?​

Answers

Answer:

A) BEM is an acute angle. B) MBX is an obtuse angle. C) XBE is a straight angle. D) XBE is an angle of vertex B. E) MBY is an angle of side [My). F) Another name for angle BER is REB. G. XBY and MBE are adjacent. EBY and XBM are supplementary angles.

In circle G with mZFGH

90, find the mZFJH.

Answers

Hope this help!!!

Have a nice day!!!

7000 litres of water is pumped out if a tank in 42 minutes.how many litres could be pumped out in one hour

Answers

Answer:

10000 litres

Step-by-step explanation:

using proportion

if 7000 litres equals 42 minutes

then, x litres equals 60 minutes

x = (60×7000)÷ 42

x = 10000 litres

What is the domain of function p?
p(x) = /x-1+2

Answers

Answer:

A.

Step-by-step explanation:

a strange question, as 2 answer options are actually possible, as they define valid domains for this function.

and if the range of the function would include imaginary numbers ("i"), all 4 would be correct.

the problem statement has to be much more precise. you can tell your teacher that.

but I assume, we base just on real numbers and want the biggest domain range. and that is A.

A. for x=1 we get sqrt(0) + 2, which is absolutely valid.

B. a square root of a negative number is undefined in the works of real numbers. we would need "i", the imaginary numbers, to make this a valid function.

C. is also valid. no bad values and expressions involved. it is just a snake range than A.

D. the same a for B.

The domain of the function [tex]f(x) = \sqrt{x - 1} + 2[/tex] is [tex][1,\infty)[/tex]

How to determine the domain?

The function is given as:

[tex]f(x) = \sqrt{x - 1} + 2[/tex]

Set the radicand greater than or equal to 0

[tex]\sqrt{x - 1} \ge 0[/tex]

Take the square of both sides

[tex]x - 1 \ge 0[/tex]

Add 1 to both sides

[tex]x \ge 1[/tex]

This means the possible values of x starts from 1 till infinity

Hence, the domain of [tex]f(x) = \sqrt{x - 1} + 2[/tex] is [tex][1,\infty)[/tex]

Read more about domain at:

https://brainly.com/question/1770447

For each sequence, find the first 4 terms and the 10th term.
a) 12-n
B 5 - 2n

Answers

Answer:

Solution given:

a.

tn=12-n

1 st term =12-1=11

2nd term =12-2=10

3rd term=12-3=9

4th term=12-4=8

10th term=12-10=2

b.

tn=5-2n

1st term=5-2*1=3

2nd term=5-2*2=1

3rd term=5-2*3=-1

4th term=5-2*4=-3

10th term=5-2*10=-15

(a) Solution

T(n) = 12 - n

T(1) = 12 - 1 = 11

T(2) = 12 - 2 = 10

T(3) = 12 - 3 = 9

T(4) = 12 - 4 = 8

T(10) = 12 - 10 = 2

(b) Solution

T(n) = 5 - 2n

T(1) = 5 - 2 = 3

T(2) = 5 - 4 = 1

T(3) = 5 - 6 = -1

T(4) = 5 - 8 = -3

T(10) = 5 - 20 = -15

How many 1/6 cup serving of rice and in 2/3 cup of rice

Answers

Answer:

4 serving cups

Step-by-step explanation:

Given

[tex]Serving\ cup = \frac{1}{6}[/tex]

[tex]Rice\ cup = \frac{2}{3}[/tex]

Required

The number of serving cup (n)

This is calculated by dividing the rice cup by the serving cup

[tex]n = \frac{Rice\ cup}{Serving\ cup}[/tex]

[tex]n = \frac{2/3}{1/6}[/tex]

Rewrite as:

[tex]n = \frac{2}{3} \div \frac{1}{6}[/tex]

Change to multiplication

[tex]n = \frac{2}{3} * \frac{6}{1}[/tex]

[tex]n = \frac{12}{3}[/tex]

[tex]n=4[/tex]

Anyone know??? PLEASE HELP ME

Answers

Answer:

C

Step-by-step explanation:

Try it.

Answer:Its B or C

Step-by-step explanation:I expain it so A is wrong ebcause 3 times 20 is 60 and since x is 14 that measn 14 times 3 is 42 so 60 minus 42 is not 44 but 18.C is wrong becasue 2 times 14 is 28 and 2 times 3 is 6 so if u subract you get 22 and D is worng because 14 minus 3 isnt 22.

What is the volume, in cubic centimeters, of a rectangular prism with a height of 17 centimeters, a width of 17 centimeters, and a length of 11 centimeters?

Answers

Answer:

3179cm^3

Step-by-step explanation:

[tex]volum = height × width × length \\ = 17cm \times 17cm \times 11cm \\ = {3179cm}^{3} [/tex]

The sum of two numbers is 45 and their difference is 7. Find the numbers. *

Answers

the sum of two numbers that is 45 and their difference is 7 it is 39 and 6 more like 39+6

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