If a1=10 and an An-1 + 4 then find the value of
05.

Answer:

9 units

Step-by-step explanation:

Given

[tex]Length = 8[/tex]

[tex]Width = 4[/tex]

[tex]Height = 1[/tex]

Required

Determine the length of the longest segment

To do this, we use:

[tex]Longest = \sqrt{Length^2 + Width^2 + Height^2}[/tex]

So, we have:

[tex]Longest = \sqrt{8^2 + 4^2 + 1^2}[/tex]

[tex]Longest = \sqrt{64 + 16 + 1}[/tex]

[tex]Longest = \sqrt{81}[/tex]

Take positive square root

[tex]Longest = 9[/tex]

Hence, the length of the longest segment is 9 units

Answer:

The probability of the coin landing on heads 3 out of 8 times is 0.22, but the closest thing to that is 0.219.

Answer:

Step-by-step explanation:

The answer is exactly 0.219

You have 8 objects and you want to choose 3 of them. 8 Choose 3 looks like

8 * 7 * 6 / 3!

3! = 6

So the answer is 8*7 = 56

There are 2^8 = 256 ways you can throw either heads or tails.

The number of successes = 56/256 = 0.219 The nine is rounded.

Answer:

Please check explanations

Step-by-step explanation:

From what we have, the constant term is 0.994

Now, what this mean is that with an increase in the value of t, there will be a decrease in the change of quantity

This is because the rate of change is less than 1

With an increasing value of power, the value of the exponent would be less than its previous value

So what this mean is that we would have less quantities over time since the value of the constant term is less than 1

Answer:

the cheetah traveled 243 m, it could not catch up with the gazelle that traveled 245 m.

Step-by-step explanation:

Given that

Cheetah running at 90 km/h

Separated from a distance of 20 m

Now speed is 97 km/h

The time is 9 seconds

We need to find out whether it would catch up with the gazelle

For  Gazelle

90 km = 90 × 1,000 = 90,000 m

1 h = 1 × (60 x 60) = 3600 s

Now

90,000: 3,600 = 25 m / s

For Cheetah

97 Km = 97 × 1000 = 97,000 m

1 h = 1 × (60 × 60) = 3600 s

Now

97 000: 3600 = 26.94 i.e. 27 m/s

e = 27 m /s × 9 s = 243 m  

e = 25 m/s × 9 s = 225 m

Now

we have to add  20 m advantage to the gazelle.

So,

= 225 + 20

= 245 m

So based on the above calculation

the cheetah traveled 243 m, it could not catch up with the gazelle that traveled 245 m.

Answer:

Graph F

Step-by-step explanation:

Given

x + 3 < 7 ( subtract 3 from both sides )

x < 4

Since x is less than 4 then this is indicated by an open circle at 4 on the number line with the arrow pointing to the left as shown on graph F

Answer:

AB = 5

Step-by-step explanation:

Pythagorean theorem: a² + b² = c²

=> 3² + 4² = AB²

=> AB = [tex]\sqrt{3^{2}+4^{2} }[/tex]

=> AB = 5

Answer: d

Step-by-step explanation:

The membership increases by 50 members in each of the six warmest months and decreases by 50 members in each of the other six months

Answer:

tan45° = x/13

x=13

now y = √13²+13²

y =13√2

Answer:

x = 13

y = 13sqrt(2)

Step-by-step explanation:

it is a 45 - 45 - 90 triangle

Answer:

there you go

Step-by-step explanation:

Answer:

$4,499.46

Step-by-step explanation:

after year 1 $4160, after Year 2 $4326.40, after 3 years $4499.46

Answer:

I think it is the orange or the pink.  

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Start from left to right

Answer:

Step-by-step explanation: it is jedn

Answer:

16.5

Step-by-step explanation:

Answer:

16.50

Step-by-step explanation:

5.50 divided by 2 is 2.75

2.75 times 6 is 16.50

Answer:

x = 13

Step-by-step explanation:

BD is the hypotenuse of the smaller triangle and corresponds to 2x - 7.  51 is the longer leg of triangle EFG

The ratio of the two hypotenuses is (2x - 7)/57, and the ratio of the two longer legs is (x + 4)/51.  These ratios are equal to one another.  Thus:

2x - 7      x + 4

--------- = ---------

   57          51

Cross multiplication results in 51(2x - 7) = 57x + 228, or

102x - 357 = 57x + 228

Combining like terms, we get:

45x = 585, and so x = 13.

Answer:

1/4

Step-by-step explanation:

D

Answer:69

Step-by-step explanation:

A) $16

B) p(x) = 16x -800

C) 69 ticketsn:

A) The total of expenses is ...

$280 +100 +20 +400 = $800

If this is covered by 50 tickets, then a ticket must provide revenue of ...

$800/50 = $16

The cost per ticket is $16.

__

B) The profit is the difference between revenue and expenses. The revenue from sale of x tickets will be 16x. The expenses are fixed at 800, so the profit is ...

p(x) = 16x -800

__

C) We can find the number of tickets to sell (x) in order for profit to be at least $300 by solving the inequality ...

p(x) ≥ 300

16x -800 ≥ 300 . . . . . use the expression for p(x)

16x ≥ 1100 . . . . . . . . . add 800

x ≥ 68.75 . . . . . . . . . . divide by 16 . . . (the least satisfactory integer is 69)

In order to raise at least $300, the number of tickets sold must be at least 69.

Answer: 6 hours

Step-by-step explanation:

48/6 = 8

36/6 = 6

Answer:

15

Step-by-step explanation:

Answer:

683cm

Step-by-step explanation:

Pay attention next time

Answer:

[tex] \displaystyle A_{ \text{surface}} = 42cm ^{2} [/tex]

Step-by-step explanation:

we are given the base area of a cube

recall the surface area formula of a cube

[tex] \displaystyle A_{ \text{surface}} = 6( {a}^{2} )[/tex]

notice that, we are given the base area 7cm² in other words we are given a² i.e 7cm²

Thus substitute:

[tex] \displaystyle A_{ \text{surface}} = 6( 7 )cm ^{2} [/tex]

simplify multiplication:

[tex] \displaystyle A_{ \text{surface}} = 42cm ^{2} [/tex]

and we are done!

Answer:

1. p=54

2. -2n - 14

Step-by-step explanation:

1. Combine multiplied terms into a single fraction  

Multiply by 1  

Subtract   7 from both sides of the equation

2. not quiet sure so sorry if you get it wrong

Answer:

i am REALLLYYY not sure about my answer but i think its 6. i dont recommend you to put that answer in lol

Step-by-step explanation:

6 = 3/3

Answer:its 70 i did it on savas

Step-by-step explanation:

Answer:

This is a right traingle right? AC =129 is so

Step-by-step explanation:

Answer:

28=x

78=y

Step-by-step explanation:

The lines are perpendicular so 78 would be the same for the top line. So the equation fill in would be (5x-62)=78 turning x into 28

Answer:

61.97 feets

Step-by-step explanation:

Using trigonometry :

Horizontal distance between the person and building,

Let distance = d

Tan 15 = 15 / d

0.2679491 * d = 15

d = 15 / 0.2679491

d = 55.980781

To obtain the height, h :

tan 40 = (h-15)/d

d = 55.98

h-15 = 55.98 (tan 40°)

h - 15 = 55.98 * 0.8390996

h - 15 = 46.972797

h = 46.972797 + 15

h = 61.972797

h = 61.97 feets

Answer:

FV= £12,362.7

Step-by-step explanation:

Giving the following information:

Initial investment (PV)= £12,000

Number of periods (n)= 2 years

Interest rate (i)= 1.5% = 0.015

To calculate the Future Value, we need to use the following formula:

FV= PV*(1 + i)^n

FV= 12,000*(1.015^2)

FV= £12,362.7

Answer:

Sorry i just needed points.

Step-by-step explanation: