Find the first 5 terms of the sequence a1= -4, an = 3an-1 -2 for n > 1.

Answer:

k= 1/4 m=16

Step-by-step explanation:

7 over 28 is 1/4 and 4 times 4 is 16

Answer:

66

Step-by-step explanation:

Multiplying 8 by 2 which gives you 16.

Then 16 Add 50 = 66

Answer:

Step-by-step explanation:

5x-2y=24

x+2y=12

add the two equations

(5x-2y)+(x+2y)=24+12

6x=36

x=6

Plug in x=6 into any of the two equations

5(6)-2y=24

30-2y=24

-6= -2y

y= 3

x=6

y=3

(6,3)

Answer:

$5.16

Step-by-step explanation:

$25.80 x 20/100

Answer:

Step-by-step explanation:

Answer:

Tip Total: $ 5.16

Tip Each Person: $ 2.58

Total (Bill + Tip): $ 30.96

Total Each Person: $ 15.48

In a given permutation of 52 cards, if the 3 of spades is to follow all of the hearts, that means the 3 of spades must be at least the 14th card in the deck.

Consider some possible orderings of the deck:

• If the 3 of spades is the 14th card, then the deck looks like

[all 13 ♥] … 3 ♠ … [all other 38 cards]

There are 13! ways to arrange the 13 hearts at the beginning and 38! ways to arrange the tail of 38 cards. Hence there are 13! × 38! possible rearrangements of the deck where 3 ♠ is the 14th card.

• If 3 ♠ is the 15th card, then the deck looks like

[13 ♥ and 1 other] … 3 ♠ … [all other 37 cards]

and there would be 14! × 37! ways of arranging the cards in this order.

There are 39 possible positions for 3 ♠. Extrapolating, it follows that the total number of permutations of the deck in which all hearts occur before 3 ♠ is

[tex]\displaystyle \sum_{k=0}^{38} (13+k)! \times (38-k)![/tex]

There are 52! total possible ways of rearranging the deck. Then the probability of rearranging the deck so that all hearts are drawn before 3 ♠ is

[tex]\displaystyle \frac1{52!} \sum_{k=0}^{38} (13+k)! \times (38-k)! = \frac{87,031,512,096,420,449}{221,360,321,731,856,907,600} \approx \boxed{0.000393}[/tex]

Answer:

If the sides of a triangle are in the ratio 3:4:5, prove that it is a right-angled triangle.

Step-by-step explanation:

In order to prove that the triangle is a right-angled triangle or not, take the ratio as the length of the sides then consider the triangle to be a right-angled triangle, then prove the Pythagoras theorem. If the sides satisfy the Pythagoras theorem, then it’s a right-angled triangle otherwise, it’s not a right-angled triangle.

We are given the sides of a triangle whose ratio is 3:4:5.

Considering the sides to be 3x,4x,5x.

Since, we know that the length of hypotenuse is always greater than the other two sides, so we are taking the hypotenuse to be 5x and other remaining sides to be 3x and 4x.

We are only considering that the given triangle is a right-angled triangle. For that we need to prove that the sides follow Pythagoras theorem.

So, for Pythagora's theorem, we know that the sum of the square of the base side and square of the height side is equal to the square of the hypotenuse.

Squaring the base side 4x, we get:

(4x)2=16x2 …….(1)

Similarly, squaring the height side 3x, we get:

(3x)2=9x2 …….(2)

Squaring the hypotenuse side 5x, and we get:

(5x)2=25x2 …….(3)

Taking the sum of (1) and (2):

16x2+9x2=25x2, which is equal to the equation (3).

That means the sum of the square of base and the square of height is equal to the square of hypotenuse, that satisfies the Pythagoras theorem, that implies the triangle ABC is actually a right-angled triangle, which is right-angled at B. And this proves our consideration to be true.

Answer:

it is a right triangle

Step-by-step explanation:

If the triangle is a right triangle, it will meet the Pythagorean theorem

a^2 + b^2 = c^2

3^2+4^2 = 5^2

9+16=25

25=25

This is true so it is a right triangle

Answer:

the answer is 10,700 :)

Step-by-step explanation:

Scott needs to work at least 30 hours to make at least $600 and buy a new computer.

Let's denote the number of hours Scott works as "x" for both babysitting and working at the grocery store.

For babysitting, he earns $12 per hour.

For working at the grocery store, he earns $8 per hour.

So, his earnings from babysitting are 12x dollars, and his earnings from working at the grocery store are 8x dollars.

He needs to make at least $600 to buy a new computer.

Therefore, we can write the equation:

12x + 8x ≥ 600

Combine the like terms:

20x ≥ 600

Now, solve for x by dividing both sides of the inequality by 20:

x ≥ 600 / 20

x ≥ 30

Hence, Scott needs to work at least 30 hours to make at least $600 and buy a new computer.

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Complete question:

"Scott earns $12 per hour babysitting and $8 per hour working at the grocery store. He wants to buy a new computer that costs at least $600. How many hours does Scott need to work, combining both jobs, to save up enough money for the new computer?"

Answer:

the required graph is in the attachment.

Step-by-step explanation:

Rabbitton: 34 / 8 = 4 1/4

Rabbit Ville: 48 / 14 = 3 3/7

Rabbitton has more rabbits per garden

Answer:

The answer is 3x^3 V2x. Edge 2022. For the second part, the product is -1

Step-by-step explanation:

Answer: 20 more minutes

Step-by-step explanation:

Grace has already read 40 minutes due to her reading 4 times a week and 10 minutes each time(4x10=40). She has 20 more minutes to read as there as 60 minutes in a hour  

Grace needs 20 minutes more to read.

The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.

For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.

12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.

As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.

This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.

Given:

Grace read 4 days a this week.

In one day she read= 10 minutes

So, in 4 days she read = 4 x 10

                                     = 40 minutes.

So, total time taken = 60 minutes.

Thus, she needs to read (60 - 40) = 20 minutes.

Learn more about unitary method here:

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Answer:

32 square millimeters

Step-by-step explanation:

Parallelogram area formula => B x h

Base = 6 mm

Height = 4 mm

Area = 24 mm^2

Triangle area formula B x h x 1/2

Base = 8 mm

Height = 2 mm

Area = 8 mm^2

Total area = 24 + 8 = 32 mm^2

The total surface area of the figure consists of a parallelogram and a triangle is 32 square millimeters so option (C) will be correct.

The quantity of space enclosing a three-dimensional shape's exterior is its surface area.

If we say side square then it is an area of the square but for a cuboid, there are 6 faces so the surface area will be external to all 6 surfaces area.

As per the given parallelogram and a triangle,

The bigger side of parallelogram = 6 + 2 = 8mm

Smaller side = 6mm

The perpendicular distance between the sides of the parallelogram = 4mm

The base of the triangle = 2mm

Height of triangle = 4 mm

Therefore, the complete area ⇒

(1/2)[8 + 6)×4 + (1/2)×2×4 = 32 mm²

Hence "The total surface area of the figure consists of a parallelogram and a triangle is 32 square millimeters".

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Answer:

27.8

Step-by-step explanation:

You need to do brackets first

3.6-1.8 = 1.8

Then substitute

4.5 x 8- (0.4 + 9.6- 1.8)

0.4+9.6-1.8=8.2

4.5 x 8 - 8.2 =27.8

Answer:

the answer is 3x as that is the slope

Answer:

3

Step-by-step explanation:

yeah < 3

Answer:

c=0.8

Step-by-step explanation:

Step 1: Subtract 5.96 from both sides.

c+5.96−5.96=6.76−5.96

c=0.8

Answer:

13

Step-by-step explanation:

Combine all like terms:

14x-2

Since there are 180 degrees in a triangle, all three angles are going to equal 180.

14x-2=180

Add 2

14x=182

Divide by 14

x=13

Answer: z = 18

Step-by-step explanation:

180 = 90 + (3z+4) + (2z-4)

z = 18

Answer:

see below

Step-by-step explanation:

2.x<1, y=all real numbers

3. -1<=x<=3 -3<=y<=2

4. x= all real numbers, y>-2

5. 7<=x<5, 3<=y<1

6.x>-4, y>-1

Answer:

what's the correct number supposed too equal?

Answer:

I don't see a Solution to this equation

Answer:never touch

Step-by-step explanation:

Answer:

Parallel

Step-by-step explanation:  

Using these points, we can determine that the equation is as follows:  

Line B: y = -2/3x + 7/3  

And since Line A has the same slope, it would make Line A's equations like this:  

Line A: y = -2/3x - 11/3  

This makes these equations Parallel to each other because they have the same slope with different y-intercepts.

Answer:

The discount is list price minus the sale price then divided by the list price and multiplied by 100 to get a percentage. Where: L = List Price. S = Sale Price

Answer:

No solution  

Step-by-step explanation:

Solve:

18 + -3(8c + 4) = -6(4c + -1)

Reorder the terms:

18 + -3(4 + 8c) = -6(4c + -1)

18 + (4 * -3 + 8c * -3) = -6(4c + -1)

18 + (-12 + -24c) = -6(4c + -1)

Combine like terms: 18 + -12 = 6

6 + -24c = -6(4c + -1)

Reorder the terms:

6 + -24c = -6(-1 + 4c)

6 + -24c = (-1 * -6 + 4c * -6)

6 + -24c = (6 + -24c)

Add '-6' to each side of the equation.

6 + -6 + -24c = 6 + -6 + -24c

Combine like terms: 6 + -6 = 0

0 + -24c = 6 + -6 + -24c

-24c = 6 + -6 + -24c

Combine like terms: 6 + -6 = 0

-24c = 0 + -24c

-24c = -24c

Add '24c' to each side of the equation.

-24c + 24c = -24c + 24c

Combine like terms: -24c + 24c = 0

0 = -24c + 24c

Combine like terms: -24c + 24c = 0

0 = 0

Solving

0 = 0

No Solution

(Hope this helps can I pls have brainlist (crown)☺️)

Answer:

A. 10A+10P+54

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

6x-6

Step-by-step explanation:

(2x+6)+(4x-12)=2x+6+4x-12

                      =6x-6

Answer:

Angle 2 = 120 degrees, Angle 1 = 60 degrees

Step-by-step explanation:

Since a straight angle is 180 degrees, you have to add up the 2 angles to 180.

x+x+60=180

2x+60=180

2x=120

x=60

Angle 1 = 60

Angle 2 = 60+60=120