(b) True or False?
Statement
True False
Х
Some rational numbers are not whole numbers.
o
Some irrational numbers are integers.
All integers are rational numbers.
o
No irrational numbers are whole numbers.
o

Answer:

Let 'a' be the first term, 'r' be the common ratio and 'n' be the number of terms

Series = 2+6+18.......= 2+2•3¹+ 2•3².......= 728

Now,

[tex]Sum = \frac{a( {r}^{n} - 1) }{(r - 1)} \\ [/tex]

So,

[tex] \frac{a( {r}^{n} - 1)}{(r - 1)} = 728 \\ \frac{2( {3}^{n} - 1) }{(3 - 1)} = 728 \\ \frac{2( {3}^{n} - 1) }{2} = 728 \\ {3}^{n} - 1 = 728 \\ {3}^{n}=728+1\\ {3}^{n} = 729 \\ {3}^{n} = {3}^{6} \\ \boxed{ n = 6}[/tex]

Therefore, number of terms is 6

Its a GP given by 2+6+18

Common ratio=r=

[tex]\\ \bull\tt\looparrowright \dfrac{6}{2}=3[/tex]

Now

[tex]\\ \bull\tt\looparrowright S_n=728[/tex]

[tex]\\ \bull\tt\looparrowright \dfrac{a(r^n-1)}{r-1}=728[/tex]

[tex]\\ \bull\tt\looparrowright \dfrac{2(3^n-1)}{3-1}=728[/tex]

[tex]\\ \bull\tt\looparrowright \dfrac{2(3^n-1)}{2}=728[/tex]

[tex]\\ \bull\tt\looparrowright 3^n-1=728[/tex]

[tex]\\ \bull\tt\looparrowright 3^n=728+1[/tex]

[tex]\\ \bull\tt\looparrowright 3^n=729[/tex]

[tex]\\ \bull\tt\looparrowright 3^n=3^6[/tex]

[tex]\\ \bull\tt\looparrowright n=6[/tex]

Answer:

slope of r = -9/4

slope of Q =     4/9  

Step-by-step explanation:

x1 y1  x2 y2

10 6  1 2

(Y2-Y1) (2)-(6)=   -4  ΔY -4

(X2-X1) (1)-(10)=    -9  ΔX -9

slope=   4/9    

Answer:

3/5

Step-by-step explanation:

21/35

Divide both the top and bottom by 7

21/7 = 3

35/7 = 5

3/5

Answer:

3/5

Step-by-step explanation:

Find gcf for 21 and 35….7

Divide both by 7…. 3 and 5

Arrange 3 as numerator and 5 as denominator….3/5

Answer:

1/2n + 7

n =  unkown number

Step-by-step explanation:

Answer:

1/2(x) + 7

Step-by-step explanation:

x= unknown number

Answer:Part A: 13

Step-by-step explanation: look at the graph

Answer:

OPTION D

NO. OF SINGERS=15

NO. OF FRIENDS =3

THERE PROBABILITY =3/15=1/5

Answer:

8 milliom

Step-by-step explanation:

its ez

Answer:

x = 70

Step-by-step explanation:

The sum of the angle measures of a quadrilateral is 360°

76 + 92 + 122 + x = 360

168 + 122  + x = 360

290  + x = 360

x = 360 - 290

x = 70

You can ever CROSS-CHECK

76 + 92 + 122 + 70

290  + 70

= 360

thus cross-checked

Answer:

See below.

Step-by-step explanation:

There are 2 options in finding the difference between f and 35, as you did not state in the question which if the 2 is the larger number.

(f-35)-5=f-35-5

=f-40

OR

(35-f)-5=35-f-5

=30-f

Answer:

cos 0 = 1

.................

Answer:

i believe that`s called a linear pair. the opposite sides of the lines create matching angles.

Answer:

Money saved by Jade = € 25

Money saved by  May =   € 30

Money saved by Nel  = € 60

Step-by-step explanation:

Money saved by Jade = € x

Money saved by  May = x + 5

Money saved by Nel = 2* (x + 5) = 2*x + 2*5 = 2x + 10

Total = € 115

x + x + 5 + 2x + 10 = 115

x  + x + 2x + 5 + 10 = 115

Combine like terms

4x + 15 = 115

Subtract 15 from both sides

4x = 115 - 15

4x = 100

Divide both sides by 4

x = 100/4

x = € 25

Money saved by Jade = € 25

Money saved by  May = 25+ 5 = € 30

Money saved by Nel = 2*25 + 10 = 50 + 10 = € 60

Answer:

Jade=€25

May=€30

Nel=€60

Step-by-step explanation:

Since Nel has 2 units, May has one and you do not know Jane but it is only €5 less, you want to plus 5 to make Jane have one unit like May, so:

115+5=120 (4 units）

120 divide 4= 30 (1 unit)

Jade=30-5=€25

May=€30

Nel=30x2=€60

Hope this helps! Thanks.

Answer: 10

Concept:

There are few vocabularies that describe each operation:

Refer to the list above to answer the question

Solve:

Given worded expression

5 is added to the difference of 3 times of 4 and 7

Convert to numerical expression

3 × 4 - 7 + 5

Simplify by multiplication

=12 - 7 + 5

Simplify by addition/subtraction

=5 + 5

=[tex]\boxed{10}[/tex]

Hope this helps!! :)

Please let me know if you have any questions

Answer:

Add those angles together. PQT is the sum of the angles PQS and SQT

3x+13+6x-2

add like terms

9x-11

angle PQT is equal to 9x-11.

Step-by-step explanation:

Answer: It is a rational number.

Step-by-step explanation: Because rational numbers can also be terminating decimals.

Answer:

14 is the correct answer. It is just the inverse of 5+9 but it equals the same

Step-by-step explanation:

Answer:

1 1/4 =c

Step-by-step explanation:

4 1/6 = 3 1/3c

Change the mixed numbers to improper numbers

4 1/6 = ( 6*4+1)/6 =25/6

3 1/3 = ( 3*3+1)/3 = 10/3

25/6 = 10/3c

Multiply each side by 3/10

25/6 * 3/10 = 10/3c * 3/10

3/6 * 25/10 = c

1/2 * 5/2 =c

5/4 =c

Change back to a mixed number

1 1/4 =c

Answer:

7$

Step-by-step explanation:

0.0101 = 1.01% probability that your friend wins the first prize and you win the second prize.

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

A probability is the number of desired outcomes divided by the number of total outcomes.

In this question:

Event A: Your friend wins the first prize.

Event B: You win the second prize.

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

Probability friend wins first prize:

10 out of 100 tickets, so:

[tex]P(A) = \frac{10}{100}[/tex]

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

Probability you win second prize:

There will be 99 tickets remaining(1 has been sorted), you have then of then, so:

[tex]P(B) = \frac{10}{99}[/tex]

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

What is the probability that your friend wins the first prize and you win the second prize?

Multiplication of the probabilities, thus:

[tex]p = P(A) \times P(B) = \frac{10}{100} \times \frac{10}{99} = \frac{10\times10}{100\times99} = 0.0101[/tex]

0.0101 = 1.01% probability that your friend wins the first prize and you win the second prize.

A similar question is given at https://brainly.com/question/22281693

[tex]\huge\text{Hey there!}[/tex]

[tex]\huge\text{350 rounded to the nearest hundred is...}[/tex]

[tex]\huge\text{Rounding is basically is the}\\\huge\text{approximation of the given number.}[/tex]

[tex]\huge\bullet\huge\text{ So, when you are looking at 350, you are}\\\huge\text{asking yourself is it closer to 300 or 400.}\\\huge\text{If you are looking at the number correctly}\\\huge\text{you would see it is closer to \underline{\underline{400}} when you}\\\huge\text{rounded to NEAREST HUNDRED.}[/tex]

[tex]\huge\boxed{\textsf{Therefore, your ANSWER/RESULT is: \bf 400}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]\huge\boxed{\frak{Amphitrite1040:)}}[/tex]

Answer:

A

Step-by-step explanation:

Answer:

Step-by-step explanation:

The y intercept occurs when x = 0.

All you have to do is read the table until you come to x = 0.

When you do, read down to get the y value.

The answer is A (0,2)

Answer:

x=-2 y=3

Step-by-step explanation:

you should multiple second equation by -5 and collect all terms then put -2 from x

Answer:

you can measure it in ruler

Answer:

(100×m) + d

where m is the month number of your birthday

and d is the day number of your birthday

Step-by-step explanation:

[(((m × 4) + 14) × 25) - 230] + d - 120

》[((4m + 14) × 25) - 230] + d - 120

》100m + 350 - 230 -120 + d

》100m + d

Formula for simple interest = total = start value x ( 1 + interest rate x time)

Total = 1880.90 x ( 1 + 0.055 x 1)

Total = 1,984.35

Interest = total - starting amount

Interest = 1984.35-1880.90 = 103.45

Interest: £103.45

Answer:

Perimeter = 1880.9

Time = 1 years

Rate = 5 (½) years

Interest

SI = PRT/100

5½ = 11/2 %

» SI = 1880.9 × 11 × 1/2 × 100

» SI = 1880.9 × 11/200

» SI = 103.4

Answer:

below

Step-by-step explanation:

First we need to find the domain.

x^2+ y^2 = 8

√x^2 + √y^2 = √8

x + y = ±2√2

So the domain is ±2√2. If you graph the circle you will see that it will in fact fail the vertical line test, mainly because its a circle. If you graph the domain onto the circle, you will see that it will have an affect on it being a relation. A graph will be shown below for a better reference. Keep in mind that ±2.828 is the decimal form of ±2√2.

Best of Luck!

Answer: (60/13, 6/13)

Concept:

There are three general ways to solve systems of equations:

Here, we are going to use elimination since all the variables are in the corresponding position.

Solve:

Given

[tex]\left \{ {{2x+7y=-6} \atop {4x - y=18}} \right.[/tex]

Multiply the first equation in order to eliminate [x]

[tex]\left \{ {{4x + 14y = -12} \atop {4x - y = 18}} \right.[/tex]

Subtract the second equation from the first equation to eliminate [x]

[tex]14y-y=-12+18[/tex]

[tex]13y=6[/tex]

Divide 13 on both sides

[tex]13y/13=6/13[/tex]

[tex]\boxed{y=\frac{6}{13} }[/tex]

Substitute [y] value in order to get [x] value

4x - y = 18

4x - 6/13 = 18

4x = 18 + 6/13

4x = 240/13

[tex]\boxed{x=\frac{60}{13} }[/tex]

Hope this helps!! :)

Please let me know if you have any questions

Answer:

Step-by-step explanation:

Yes, the irrational number stays irrational.

Make the assumption that this statement is false and that a rational and an irrational can produce a rational. x is irrational. Assume that a, b, c, and d are all integers.  If you like, they can be relatively prime to each other.

a/b + x = c/d                   Subtract a/b from both sides.

x = c/d - a/b                    Now put the 2 fractions over a common denominator.

x = (c*b - d*a)/(b*d)         Investigate what you have.

b*d are two integers multiplied together. multiplication of integers is closed (the answer will be an integer).

cb and da are also integers. subtracted integers are also closed under subtraction.

But

Here's the kicker. An irrational number is one that cannot be expressed as a fraction. Sqrt(2) for example cannot be shown to be rational. There is no fraction that equals sqrt(2)

So our proof is "bogus." It cannot work. An irrational number excludes the possibility of being able to be represented by a fraction by definition.

Answer:

purple.orang.blue.yellow and green

purple.orang.blue.yellow and green