FIND THE ERROR Grant read the following axioms for a video game he is playing.
. There are four keys hidden on each level.
Each level ends when the player collects the third key.
.
• The game has 10 levels.
.
From these axioms, Grant concluded:
• to complete the game, he will need to find 30 keys.
.
. there are 40 keys in the game.
• he can collect all 40 keys in the game.
Are Grant's conclusions correct? Explain your reasoning.

Solution : [tex]F(n)= (320) 1.25^{n-1}[/tex]

In Maths, Geometric Progression (GP) is a type of sequence where each succeeding term is produced by multiplying each preceding term by a fixed number, which is called a common ratio. This progression is also known as a geometric sequence of numbers that follow a pattern. Also, learn arithmetic progression here. The common ratio multiplied here to each term to get a next term is a non-zero number. An example of a Geometric sequence is 2, 4, 8, 16, 32, 64, …, where the common ratio is 2.

A geometric progression or a geometric sequence is the sequence, in which each term is varied by another by a common ratio. The next term of the sequence is produced when we multiply a constant (which is non-zero) by the preceding term. It is represented by:

a, ar, ar2, ar3, ar4, and so on.

Where a is the first term and r is the common ratio.

Note: It is to be noted that when we divide any succeeding term from its preceding term, then we get the value equal to the common ratio.

Suppose we divide the 3rd term by the 2nd term we get:

ar2/ar = r

In the same way:

ar3/ar2 = r

ar4/ar3 = r

General Form of Geometric Progression

The general form of Geometric Progression is:

a, ar, ar2, ar3, ar4,…, arn-1

Where,

a = First term

r = common ratio

ar^(n-1) = nth term

On the first day, the video was viewed = 320 times.

the number of views was 25% more than the day before which means increasing 1.25 per day.

G.P.

Where common ratio r = 1.25

First term = f(1) = 320

The formula of nth term in G.P. =

[tex]F(n)= f(1) r^{n-1}[/tex]

So, nth term of the given situation :

[tex]F(n)= (320) 1.25^{n-1}[/tex]

Where f(n) denotes the number of views on an nth day.

[tex]F(n)= (320) 1.25^{n-1}[/tex]

So, the number of views Vera's video got on an nth day =

[tex]F(n)= (320) 1.25^{n-1}[/tex]

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The numbers that have a digit in the ones place that is 1/10 the value of the digit in the tens place is 6,044.7 , 9,777.1 and 8,101.13

The mathematical expression is the combination of numerical variables and operations denoted by addition, subtraction, multiplication, and division signs. The precise position of a number within a series is assigned a value by a place-value system.

Given that we have to choose the number having a digit in the one place that is 1/10 the value of the digit in the tens place.

The numbers are 6,044.7 , 9,777.1 and 8,101.13  in which a digit in one place has a value that is 1/10 that of a digit in the tens place.

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a = 1, b = 2 is a counterexample, and with that, we conclude that the conjecture is false.

Here we have the conjecture:

"For any two integers a and b, (a - b)^2 = (a^2 - b^2)"

Notice that if we find a single pair of integers a and b such that the equality in the conjecture is false, then we have found a counterexample and that is enough to conclude that the conjecture is false.

If we define=

a = 1

b = 2

Replacing that in the equation of the conjecture we get:

(1 - 2)^2 = (1^2 - 2^2)

(-1)^2 = 1 - 4

1 = -3

This is false, then a = 1, b = 2 is a counterexample, and with that we conclude that the conjecture is false.

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Answer:Half of 51/8 is 51/16 (you multiply 51/8 by 1/2 and that is your answer.)

Now back to mixed number

51/16 = 3 3/16

So final answer is 3 3/16.

Step-by-step explanation:

To find half of 6 3/8.

6 3/8 is a mixed number.

First will change into fraction.

6 3/8 = ((8*6)+3)/8 = 51/8

(Convert the mixed number 6 3/8 into an improper fraction first by multiplying the denominator (8) by the whole number part (6) and add the numerator (3) to get the new numerator. Place the new numerator (51) over the old denominator (8).)

Answer:√5

Step-by-step explanation:

√5 = 2.23...

Answer:

3.1

Step-by-step explanation:

Square root means what number multiplied by another equals the number you need to square (2 then 2nd square root button on calculator.

square root of 5 is 2.2360679775 and 3.1 is greater so 2.2360679775<3.1

Answer: 450000, 160

Step-by-step explanation:

4.5 ⋅ 10^5 =

4.5*100000=

4*100000+0.5*100000=

400000+50000=450000

1.6 ⋅ 10^2=

1.6*100=

1*100+0.6*100=

100+60=160

The additive inverse of the expression -3/w is 3/w

The expression is given as:

-3/w

The law of additive inverse states that

For an expression x, the additive inverse is -x

This means that the additive inverse of the expression -3/w is 3/w

Hence, the additive inverse of the expression -3/w is 3/w

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If w≠0, what is the additive inverse of the expression below? -3/w

Answer:

d

Step-by-step explanation:

(1,8) is the coordinates of midpoint so ×2 and - one of the x z is ok

1×2 -(-10) = 12

8×2-(-12) = 28

The algebraic expression that represents the total amount of money in terms of x is:

y = 45*x + 20

Here we want to find the total value (in cents) of:

The total value will be given by the linear equation:

y = x*25 + (x + 2)*10 + (2x)*5

Where y represents the total value in cents.

Now we can simplify that equation to get:

y = x*25 + (x + 2)*10 + (2x)*5

y = x*25 + x*10 + 20 + x*10

y = 45*x + 20

This is the algebraic expression we wanted to get.

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Answer: (x-3)(x-5) = x2 - 8x + 15

The roots will be unchanged by multiplication by 3: 3x2 - 24x + 45

Step-by-step explanation:

Answer:

y = 3x² + 6x - 45

Step-by-step explanation:

given roots x = a and x = b then the factors are (x - a) and (x - b)

then the quadratic is the product of its factors

y = a(x - a)(x - b) ← a is a multiplier

here x = - 5 and x = 3 with a = 3 , then factors are

(x - (- 5)) and (x - 3) , that is (x + 5) and (x - 3) , then

y = 3(x - 3)(x + 5) ← expand factors using FOIL

y = 3(x² + 2x - 15) ← distribute parenthesis by 3

y = 3x² + 6x - 45

Answer:

The equation would be:

58 times 65

The answer:

3,770

Step-by-step explanation:

Answer:

I think the answer is B.

Step-by-step explanation:

Hope this helps!

Answer:

a =3

Step-by-step explanation:

The number before the x is the slope.  Parallel lines have the same slope.

Answer:

Step-by-step explanation:

The algebraic expression for the length of QR​ is 5y+20.

Given that The algebraic expression for the length of PR​ is  13y+25 , The algebraic expression for the length of PQ​ is 8y+5 and asked to find The algebraic expression for the length of QR​.

The algebraic expression for the length of PR​ is  13y+25

PR=PQ+QR

⇒The algebraic expression for the length of PR​ =The algebraic expression for the length of PQ + The algebraic expression for the length of QR

QR=PR-PQ

⇒The algebraic expression for the length of QR=The algebraic expression for the length of PR - The algebraic expression for the length of PQ

⇒The algebraic expression for the length of QR=13y+25 -  8y+5

⇒The algebraic expression for the length of QR=5y+20

Therefore,The algebraic expression for the length of QR​ is 5y+20.

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Please check the image attached aside to see the representation of the system of inequalities. The points (x, y) = (40, 30) and (x, y) = (10, 40) are solutions of the system of inequalities.

In this question we have a system formed by two inequalities represented by linear expressions in implicit form. Now we proceed to rewritte the system into explicit form:

y ≥ (200 - 4 · x) / 6                  (1)

y < 75 - x                                 (2)

Then, the solution set of the point is represented by an area below the function (2) and equal and greater to the function (1). Finally, we proceed to graph the system of inequalities. The points (x, y) = (40, 30) and (x, y) = (10, 40) are solutions of the system of inequalities.

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Answer:

1. +5

2.-5

3.-5

4.+1

5.+5

Answer:  1.) 5      2.) -1   3.)-5   4.)1  5.)5

Step-by-step explanation:

Answer: here is ur answer

He would have $100 in his bank account from the information provided

Step-by-step explanation:i really hope this helps please lmk if i am wrong have a good day/night (:

Answer:

x = 11 ,

Step-by-step explanation:

isolate the variable by diving each side by factors that don’t contain the variable

The approximate total amount of felt used in the logo is 334.34 square cm

We have the following parameters on the logo:

Shapes = Semicircle and Triangle

Where

Semicircle:

Diameter = 18 cm

Triangle

Base = 16 cm

Height = 10 cm

The approximate total amount of felt used in the logo is calculated as

Amount = Area of semi-circle + Area of triangle

This gives

Amount = π(d/2)^2 + 0.5bh

So, we have

Amount = 3.14 * (18/2)^2 + 0.5 * 16 * 10

Evaluate

Amount = 334.34

Hence, the approximate total amount of felt used in the logo is 334.34 square cm

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Answer:

Step-by-step explanation:

3

x

2

+

4

x

+

19

−

f

(

x

)

=

0

Answer:

Step-by-step explanation:

You want the number of terms and the second coefficient in the expression ...

  -3a +30b

In a simplified polynomial expressed as a sum of products, each of the products is a "term." This expression has two terms:

The sign separating terms in the sum is generally considered to be part of the following term. If this were written 30b -3a, one of the terms would still be -3a.

If each variable value is set to 1 in a term of a polynomial expression, the resulting value is the coefficient of that term. In general, this will be the numerical multiplier of the variables.

  30b = 30(1) = 30 . . . . . when b=1

The coefficient of the second term is 30.

The piecewise function for the discounted price of the purchase is given by:

A piecewise function is a function that has different definitions, depending on the input.

For $300≤x<$1,000, the discount is of 4%, hence the discounted price is 96% of the original price, that is:

D(x) = 0.96x, 300≤x<1,000

For $1,000≤x<$3,000, the discount is of 5%, hence the discounted price is 95% of the original price, that is:

D(x) = 0.95x, 1,000≤x<3,000.

For $3,000≤x<$5,000, the discount is of 6%, hence the discounted price is 94% of the original price, that is:

D(x) = 0.94x, 3,000≤x<5,000.

For $5,000≤x, the discount is of 10%, hence the discounted price is 90% of the original price, that is:

D(x) = 0.9x, 5,000≤x.

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Answer: 253 reams of paper

Hope this helps!

Answer:

No.

Step-by-step explanation:

They can't have the same surface area, because the surface area is a 2-dimensional measure of a 3-dimensional object(for the most part), while the volume is 3-dimensional, so they would not share the same surface area due to them being mostly different structures despite having the same amount of cubic units.

➲ Hope this helps. Address concerns if needed.

Answer:

2/11 = 0.18

22% = 0.22

1.42 = 1.42

That leaves the answers down to B and C.

Thus, the answer is C, 22%.

Answer:

C

Step-by-step explanation:

2/11 = 0.18181

22% = 0.22

1.42

Answer:

the third one (the outmost right)

Step-by-step explanation:

the first one goes from -2 to 0 through functional values of 0, down to -5, and then back up to 0. so, it does NOT go down between -2 and 0.

the second one goes from -2 to 0 through the functional values of -15 up to -5. so, it goes UP in that interval.

and the third one goes from -2 to 0 through the functional values of 0 down to -10 and then further down to -24. so, this one is truly decreasing in that interval.

Answer:

21

Step-by-step explanation:

Answer:

21

Step-by-step explanation:

Huilan: x-11

Thomas: x(Assume)

Their Sum = 31

Huilan+Thomas = 31 ...(1)

Possible Equation: x+x-11= 31 ...(2)

Solved:

2x-11= 31

2x = 31+11

x = 42/2

x = 21

Therefore, Thomas' Age is 21.