the sum of three numbers is 62 the second number is equal to the first number diminished by for the third number is four times the first ​

Answer:

10,935

Step-by-step explanation:

lvl 1: 15 x 3=45

lvl 2: 45 x 3=135

lvl 3: 135 x 3=405

lvl 4: 405 x 3=1215

lvl 5: 1215 x 3=3645

finally lvl 6: 3645 x 3=10,935

Taylor will earn 3645 points when she completes level 6, using the geometric progression formed from the given information.

A geometric progression is a series in which every number is the product of the previous number and a common ratio.

The first term of a geometric progression is represented as a.

The common ratio is represented by r.

The n-th term of a geometric progression (aₙ) is determined by the formula,

aₙ = arⁿ⁻¹.

We are given that Taylor is playing a video game. She earns 15 points when she completes Level 1. Each time she completes a level, she earns three times as many points as the previous level.

We are asked to find the points she will earn when she completes level 6.

The given case can be seen as a geometric progression as the points collected after completion of every level are the product of the previous level's point and a common ratio of 3.

In this geometric progression, a = 15, and r = 3.

We need to find the point collected by Taylor when she completes level 6.

This is the 6th term of our geometric progression. We determine the 6th term using the formula of the n-th term of a geometric progression:

aₙ = arⁿ⁻¹.

∴ a₆ = (15)*(3)⁶⁻¹ = 15*3⁵ = 15*243 = 3645.

∴ Taylor will earn 3645 points when she completes level 6, using the geometric progression formed from the given information.

Learn more about a geometric progression at

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Answer:

See attached

Step-by-step explanation:

The proof is in the attached picture.

Answer:

29.11

Step-by-step explanation:

This is clearly cos. So make an equation of cos equals 9 / x. Then use cross product to get x times cos equals 9. Finally divide by cos and use the calcuator to get x equals 29.11.

Answer:

I figured out that the probability that both marbles are red is 20/56 and the probability that both are green is 6/56. Then I added them together to get 26/56.

Hope this answer is right !

Answer:

Step 3

Step-by-step explanation:

Answer:

θ = 104°

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Geometry

Step-by-step explanation:

Step 1: Define

Identify and set up

m∠A = 31°

m∠B = θ

m∠C = 45°

θ + 31° + 45° = 180°

Step 2: Find θ

Answer:

104

Step-by-step explanation:

All interior angles of triangles add up to 180. So, using the information we are given we can find the missing angle, theta. One way to do this by setting up an equation like 31+45+θ=180. Solve this to get 104, your final answer. If you want, you can check your work by plugging in 104, 31+45+104=180. Since 180=180, 104 must be correct.

Answer:

Here

Step-by-step explanation:

So, AKH would be also 65 as well as AKX

Answer:

The formula of the circumference of the circle

[tex]C =\pi D[/tex]

Step-by-step explanation:

To find the circumference of the circle follow the given steps.

1. Take a thread.

2. Fix one end of the thread at one point of the circle.

3. Move the thread along the length of the circle.

4. You reach the same fix end.

5. Measure the length of the thread.

6. It is the circumference of the circle.

The formula of the circumference of the circle

[tex]C =\pi D[/tex]

where D is the diameter of the circle.

Answer:

10 and 42

Step-by-step explanation:

The difficulty with word problems is translating them into math.

Let's do that

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

The sum of a number and two times a smaller number is 62.

let's call the bigger number b, and the smaller number s

b + 2s = 62

Three times the bigger number exceeds the smaller number by 116

3b = s + 116

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

Now manipulate one of the equations to isolate the variable

3b = s + 116

Subtract 116 from both sides

3b - 116 = s

substitute for s = 3b - 116 in

b + 2s = 62

b + 2(3b - 116) = 62

Distribute

b + 6b - 232 = 62

combine like terms

7b = 294

Divide both sides by 7

b = 42

to find s plug in b = 42 into

b + 2s = 62

42 + 2s = 62

subtract 42 from both side

2s = 20

divide both sides by 2

s = 10

Answer:

(0,-1)

Step-by-step explanation:

The y-intercept is the point where the parabola meets the y-axis. In this case, the parabola passes through the y-axis at (0,-1).

Answer:

y-intercept= -1

Step-by-step explanation:

This is the point at which the line crosses the y-axis.

Answer:

Step-by-step explanation:

17.63+145.86+52.91=206.40

i have no clue what you really need the question is unclear

Answer:

acute

Step-by-step explanation:

it is acute because it is less than 90 degrees

Answer:

smallest share = $400

second smallest share = $800

largest share = $1200

Step-by-step explanation:

Let the smallest share = x

amount one friend gets = 2x

second friend gets = 3x

2400 = x + 2x + 3x

2400 = 6x

x = 400

2 x 400 = 800

3 x 400 = 1200

Answer:

D.

[tex]y = - 4x - 5[/tex]

Step-by-step explanation:

This is because the slopes are the same

Answer:

In a right angled triangle, the sine of an angle is: The length of the side opposite the angle divided by the length of the hypotenuse.

The abbreviation is sin. sin θ = opposite / hypotenuse.2 cosA sinB = sin(A + B) − sin(A − B) 2 cosA cosB = cos(A + B) + cos(A − B) 2 sinA sinB = cos(A − B) − cos(A + B)

Step-by-step explanation:

hi sushant

for another definition:-

Shina (word), or Sina (Japanese: 支那) means archaic Japanese word for China.

9514 1404 393

Answer:

  y = 9x^2 -8x +9

Step-by-step explanation:

The given equation has derivative ...

  y' = 2ax +b

The requirements on slope give rise to two equations:

  2a(1) +b = 10

  2a(-1) +b = -26

Adding these equations together gives ...

  2b = -16   ⇒   b = -8

Then we have ...

  2a -8 = 10

  a = (10 +8)/2 = 9

__

The given point lets us find the constant term c.

  y = 9x^2 -8x +c

  c = y -(9x -8)x = 29 -(9(2) -8)(2) = 29 -20 = 9

The equation of the parabola is ...

  y = 9x^2 -8x +9

Answer:

I don't know what to say to someone who is a high school diploma Android to the other side of the kingdom of the crystal skull and bones

Answer:

let the numbers be 5x,4x and X respectively

therefore X=6

now ration

therefore ratio=30:24:6

Answer:

5- 5:2

4- 2:5

1-1:10

these are the ratio

of the question

ok hope it

help you

Answer:

perpendicular slope = - 2

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = [tex]\frac{1}{2}[/tex] + 5 ← is in slope- intercept form

with slope m = [tex]\frac{1}{2}[/tex]

Given a line with slope m then the slope of a line perpendicular to it is

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

Answer:

One solution

Step-by-step explanation:

3(x – 2) = 22 – x

Distribute

3x - 6 = 22 -x

Add x to each side

3x-6+x = 22-x+x

4x -6 =22

Add 6 to each side

4x-6+6 = 22+6

4x = 28

Divide by 4

4x/4 = 28/4

x = 7

Answer:

One solution

Step-by-step explanation:

Solve for x to determine how many solutions it has

3(x - 22) = 22 - x

Distribute the 3

3x - 66 = 22 - x

Add x to both sides

4x - 66 = 22

Add 66 to both sides

4x = 88

Divide both sides by 4

x = 22

The equation has only one solution, the solution being 22

Answer:

Step-by-step explanation:

Answer: $42546.9 will be the earning in 4 years.

Step-by-step explanation:

The equation for compound interest follows:

[tex]A=P(1+\frac{r}{100})^n[/tex]

where,

A = total amount

P = Principle amount

r =  rate of interest

n = number of years

We are given:

Earnings earned per month = $3250

Earnings earned per year = ($3250 × 12) = $39000

The values become:

[tex]P=\$39000\\r=2.2\%\\n=4yrs[/tex]

Putting values in above equation, we get:

[tex]A=39000(1+\frac{2.2}{100})^4\\\\A=\$ 42546.9[/tex]

Hence, $42546.9 will be the earning in 4 years.

Answer: 30

Step-by-step explanation:

there are 5 fifths in 1 hinting the name fifths

So that means there are 30 fifths in 6

Answer:

distributive

Step-by-step explanation:

Answer:

£11.25

Step-by-step explanation:

The formula to calculate simple interest is given as:

Simple Interest = Principal × Rate × Time

Principal = Amount deposited in the bank = £100

Interest rate = 2.25%

Time in years = 5 years

Hence,

Simple Interest = £100 × 2.25% × 5

= £11.25

Therefore, the interest that will have been paid after 5 years is £11.25

Answer:

4x²+21x-2

  (OR)

2x²-x-6

Step-by-step explanation:

According to the Question,

Given, The difference Between two trinomials is x²-10x+2 & If one of the trinomials is 3x²-11x-4.

Let, Two Trinomials are P(x) = A  &  Q(x) = 3x²-11x-4

Then, P(x) - Q(x) = x²-10x+2

Put Value, We get

A - (3x²-11x-4) = x²-10x+2

A = x²-10x+2 + (3x²-11x-4)

A = x²-10x+2 + 3x²-11x-4

A = 4x²+21x-2

(OR)

If we Let, Two Trinomials are Q(x) = A  &  P(x) = 3x²-11x-4

Then, P(x) - Q(x) = x²-10x+2

Put Value, We get

(3x²-11x-4) - A = x²-10x+2

A = 3x²-11x-4 - (x²-10x+2)

A = 3x²-11x-4 - x²+10x-2

A = 2x²-x-6

Answer:

8/15 of an hour

Step-by-step explanation:

Add the fractions together

1/3 + 1/5

Get a common denominator

1/3 *5/5 = 5/15

1/5 *3/3 = 3/15

Add together

5/15 + 3/15 = 8/15

Answer:

8/15

Step-by-step explanation:

1/3 x 5 = 5/15

1/5 x 3 = 3/15

5/15 + 3/15 = 8/15