Darnell bought 6 packs of baseball cards. There were 6 cards In each pack. Darnell put all his cards in a card book. He put 9 cards on each page. How many pages of the card book did Darnell use ?

Answer:

a) Arithmetic    yₙ = 3*(n - 1) + 13

b) Geometric   yₙ = 2*5⁽ⁿ⁻¹⁾

Step-by-step explanation:

The formula for the nth term e, of that sequence is; yₙ = 3*(n - 1) + 13 and yₙ = 2*5⁽ⁿ⁻¹⁾

An arithmetic sequence is a sequence of integers with its adjacent terms differing with one common difference.

If the initial term of a sequence is 'a' and the common difference is of 'd', then we have the arithmetic sequence as:

a, a + d, a +  2d, ... , a + (n+1)d, ...

Its nth term is

T_n = a + (n-1)d

(for all positive integer values of n)

(a) 13, 16, 19

Here,  yₙ = 3*(n - 1) + 13

This is an Arithmetic.

b) 2, 10, 50

Here, yₙ = 2*5⁽ⁿ⁻¹⁾

This is Geometric .  

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Answer:

the equivalent equation of

[tex]5^{-3}[/tex]=[tex]\frac{1}{5^{3}}=\frac{1}{125}[/tex]

Answer:

[tex]3^{3} + 3 + 3 = 33[/tex]

Step-by-step explanation:

Answer:

Step-by-step explanation:

If the account grows steadily, this is a linear representation, where the constant, steady growth translates to the slope of a line.

Answer:

what?

Step-by-step explanation:

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

Answer:

aslo bien jjjjjjj

Step-by-step explanation:

Answer:

y = -x +57

Step-by-step explanation:

y=3x +38 -4x +19

Combine like terms

y = 3x-4x   + 38 +19

y = -x +57

Answer:

y= -x+57

Step-by-step explanation:

[tex]\sf{}[/tex]

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✌️

Answer:

40% of 2500=

100

40

×2500

=1000

Step-by-step explanation:

Write the calculation exactly as you say it:

Answer:

all of them are REAL numbers

1. is also RATIONAL

2. is also IRRATIONAL

3. is also IRRATIONAL

4. is also NATURAL, WHOLE, INTEGER and RATIONAL

5. is also INTEGER and RATIONAL

6. incorrect, because integer is just the whole numbers extended by their additive counterparts (the negative natural numbers). in other words, their absolute values are whole numbers. 5.5 as well as -5.5 are not fitting that criteria.

7. incorrect, because this pattern does not fit the definition of a radical number, where the number eventually begins to repeat the same finite sequence of digits over and over. in this example the pattern is not based on a finite sequence of digits.

Answer:

N is 39

Step-by-step explanation:

The distance between 99 and 19 is:

99 - 19 = 80

So, you can split the stick in 4 parts, one part between 19 and N, and 3 times this same part you'll have the distance between N and 99

So 80/4 = 20

19 + 20 = 39

N is 39

Answer:

20.7 --> 21

9.18 --> 9

21x9 is 189, thus the estimated product is 189.

Let me know if this helps!

Answer:

x = 7

Step-by-step explanation:

y = (x – 7)^2 – 3

This equation is in vertex form

y = a(x-h)^2 +k

where (h,k) is the vertex

For a vertical parabola, the line of symmetry is x=h

x = 7

Answer:

True. The statement is also equivalent to: If m<B + m<C does not equal m<D, then m<A does not equal m<B and m<A + m<C is not equal to m<D.

Answer:

r<9

Step-by-step explanation:

r/3 + 5 < 8

Subtract 5 from each side

r/3 + 5-5 < 8-5

r/3 < 3

Multiply each side by 3

r/3 *3 <3*3

r<9

Answer:

D. 16 years old

Step-by-step explanation:

Step 1: Let T be Tien's age and J as Jordan's age (today),

[tex]T=\frac{1}{4}J[/tex]

Step 2: Let T be Tien's age and J as Jordan's age (in 2 years),

[tex]T+2=\frac{1}{3} (J+2)[/tex]

[tex]T=\frac{1}{3}(J+2)-2[/tex]

Step 3: As their age differences will always be similar we can have the two equations above equal to find Jordan's age,

[tex]\frac{1}{4} J=\frac{1}{3}(J+2)-2\\\frac{1}{4}J-\frac{1}{3}J=\frac{2}{3} -2 \\-\frac{1}{12}J= -\frac{4}{3} \\\\J=16[/tex]

Answer:

Option B, random sample

it should be the answer

The given information is an example of a random sample. The correct option is B.

In statistics, a simple random sample is a subset of people chosen at random from a larger group, all of whom were chosen with the same probability. It is a method of choosing a sample at random.

It is given that A sample is generated from a population of 20 items. Each of the 20 items is given a label, and a 20-sided die is rolled 3 times to determine which 3 items are in the sample.

The above information is an example of a random sample. Follow the given definition above.

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Answer:

1 significant figure: 50,000 2 significant figures: 52,000 3 significant figures: 51,800

Step-by-step explanation:

FIrst, a significant figure is basically a non-zero digit (at least in your case). Basically, the 1 significant figure in your case would be to the nearest 10 thousand, which would be 50,000. Now, for 2 significant figures. This would be the nearest thousand, 52,000. Finally, 3 significant figures is to the nearest hundred, aka 51,800. Note: If you find a problem like this again 0 in between two digits that aren't 0 is a significant digit, aka the 0 in 51809. Hope this helped!

Answer:

10 girls

Step-by-step explanation:

If 3/5 of the class consists of boys, (5/5 - 3/5 = 2/5) : 2/5 are girls

3/5 x 25 = 15

2/5 (girls) = 25 - 15

Therefore, 10 girls in total

Answer:

See Below.

Step-by-step explanation:

We want to prove that:

[tex]\displaystyle \sin^2 A + \sin^2 B \cdot \cos 2A = \sin^2 B + \sin^2 A \cdot \cos 2B[/tex]

Recall that double-angle identity for cosine:

[tex]\displaystyle \begin{aligned} \cos 2x &= \cos^2x - \sin^2 x \\ &= 2\cos^2x -1 \\ &= 1 - 2\sin^2 x\end{aligned}[/tex]

Substitute cos(2A) for its third form:

[tex]\displaystyle \sin^2 A + \sin^2 B \cdot \left(1 - 2\sin^2 A\right) = \sin^2 B + \sin^2 A \cdot \cos 2B[/tex]

Distribute:

[tex]\displaystyle \sin^2 A + \sin^2 B - 2\sin^2B \sin^2A = \sin^2 B + \sin^2 A \cdot \cos 2B[/tex]

Rewrite:

[tex]\displaystyle \sin^2 B + \left(\sin^2 A - 2\sin^2 B\sin^2 A\right)[/tex]

Factor:

[tex]\displaystyle \sin^2 B + \sin^2A\left(1 - 2\sin^2 B\right) = \sin^2 B + \sin^2A\cdot \cos 2B[/tex]

Double-Angle Identity for cosine:

[tex]\displaystyle \sin^2 B + \sin^2 A \cdot \cos 2B \stackrel{\checkmark}{=} \sin ^2 B + \sin^2 A\cdot \cos 2B[/tex]

Hence proven.

Answer:

x = 4.98

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

sin theta = opp / hyp

sin 50 = x/6.5

6.5 sin 50 =x

x=4.97928

x = 4.98

Answer:

5.55%

Step-by-step explanation:

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Thank you

Given that

U = {X : 30 ≤ X ≤ 40. X is an even number}.

so Mathematically

U = {30,32,34,36,38 40}.

P = {X : X is a multiple of 4}

P = { 4,8,12,16,20,24,28,32,36,40,44,........}

and Q = {X : X is a number such that the sum of its digits is an odd number}.

Q = {12,14,16,18,21,23,25,27,29,30,32,34,36,38,41,43,45,..........}.

(Q')= U-Q  ={40}

(P∩Q')= {40}

n(P∩Q')= 1

(Q') is Q complement which means a set containing those elements of the universal set which are not element of the set Q.

(P∩Q') is a set containing those elements of set P and Q complement which are common to both sets.

n(P∩Q') denotes the number of elements in a set containing those elements of set P and Q complement which are common to both sets which  has only 1 element which is 40.

So the best answer is part A = 1.

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Distance = Speed×Time

Speed = 20m/s

a) = 20×4

= 80m

b) 3 mins = 180s

= 20×180

= 3,600m

c) 2 hours = 7200s

= 2 × 7200

= 14,400m

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Answer:

Here,

SP with VAT = Rs. 99000

Discount = 10%

VAT = 10%

Discount Amount =?

VAT Amount = ?

We know,

SP = "100" /"100 + v% "  × SP with VAT    

 = "100" /"100 + 10 "  × 99000    

= "100" /"110 "  × 99000      

= Rs. 90000 ∴   VAT Amount = SP with VAT – SP    

= Rs. 99000 – 90000    

= Rs. 9000 Again,  MP = "100" /"100 – d% "  × SP      

=  "100" /"100 – 10 "  × 90000      

=  "100" /"90"  × 90000      

= Rs. 100000

∴   Discount Amount = MP – SP          

= Rs. 100000 – 90000          

= Rs. 10000

Step-by-step explanation:

Here is the list of all formulas on MP, Discount, SP, and VAT.

1. Discount Amount = Discount % of MP    

2. Discount % = (Discount Amount)/MP  ×100%      

3. SP = MP – Discount Amount    

4. SP = (100 - d%)/(100 )  × MP    

5. MP = 100/(100 - d% )  × SP  

 6. VAT amount = VAT percent of SP    

7. VAT percent = (VAT Amount)/SP  ×100%  

 8. SP with VAT = SP + VAT amount    

9. SP with VAT = (100 + v%)/(100 )  × SP    

10. SP = 100/(100 + v% )  × SP with VAT  

 11. MP = (100 × 100)/((100 - d%)(100 + v%))  × SP with VAT    

12. SP with VAT = ((100 - d%)(100 + v%))/(100 × 100)  × MP

Answer:

8  4  2  1

1    1  0  1

[tex]13_{ 10} = 1101_{ 2 }[/tex]

Step-by-step explanation:

Answer:

x=80°

Step-by-step explanation:

Triangles always add up to 180°.

As you have 2 angles, you would have to add them together and then take it away from 180° to get your answer.

50+50=100°

180-100=80°

Hope this helps :)

Answer:

x = 80°

Step-by-step explanation:

The sum of the 3 angles in a triangle = 180°

Subtract the sum of the given angles from 180 for x

x = 180° - (50 + 50)° = 180° - 100° = 80°