If Esteban continues at the same rate, how many miles will he have traveled in 6 hours?



A. 36
B. 300
C. 360
D. 420

Step-by-step explanation:

n² + n < 2^n

so, let's see what happens, when I increase n by 1

(n+1)² + n + 1 < 2^(n+1) = 2×2^n

n² + 2n + 1 + n + 1 < 2×2^n

n² + 3n + 2 < 2×2^n = 2^n + 2^n

so, we added on the left and on the right side of the inequality sign compared to the original relation :

2n + 2 vs. 2^n

so, once the original relation becomes true (and we see by trying that for n = 1, 2, 3 and 4 it is not, but for n = 5 it becomes true), the next integer follows the original inequality plus the expressions mentioned above.

n² + n + (2n + 2) < 2^n + (2^n)

this inequality will remain true, if

2n + 2 <= 2^n

n + 1 <= 2^(n-1), which is true for n > 2 (and therefore also n > 4), because the "power of" function 2^n progresses much faster than a simple n+1

and therefore this relation remains true for any larger n.

Answer:

238.5p or 2.385 pounds per week

Answer: Please ignore the other answers.

Step-by-step explanation:

We stopped using half-pennies in the UK over 50 years ago.

I'm a tutor on the course this is on and I am sick of learners copying this incorrect answer.

6 kids played one or more of the 3 sports

Answer:

y = mx + c ......( general form)

y = -1/5X - 3

Answer:

Step-by-step explanation:

(-2-i)(4+I)

= (-8-2i-4i-l)

thats it basically since there are two unknowns so it cant be simplified further

The given triangle is a right angled triangle. So we can use the pythagorean theorem to solve this.

Hypotenuse = 14 cm

Altitude = 7 cm

Base = x cm

Using pythagorean theorem,

Hypotenuse² = Base² + Altitude²

14² = x² + 7²

14² - 7² = x²

196 - 49 = x²

147 = x²

√147 = x

12.124 = x (approx.)

_________

Hope it helps ⚜

Answer: The both involve writing a rate

I hope this helps i would appreciate brainliest if possible :)

Step-by-step explanation:

y=-1/4x-2

1/4x+y+2=0.........1

line perpendicular to eqn 1 is

x-1/4y+k=0

as the line passes through the (-2,-3)

-2-1/4×-3+k=0

-1+4k=0

K=1/4

the eqn is 4x-y+1=0

Answer:

$9444 Is the difference

Step-by-step explanation:

$19,320 - $9876 = 9444$

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

    [] 3, 7, 11, 15, 19, 23

4 is being added

    [] 4, 8, 16, 32, 64, 128

They are being multipled by 2

    [] 9, 16, 25, 36, 49, 64

It is increasing the addition by 2s, first one is adding 7, then 9, then 11, etc

    [] 256, 64, 16, 4, 1, 1/4

It is being divided by 4

    [] 50, 45, 34, 26, ____, _____

I am currently unsure on this one, if I figure it out I will edit my answer to reflect that!

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

Answer:

0.571

Step-by-step explanation:

:)

[tex]\stackrel{\textit{one added to the }\sqrt{\qquad }}{1+\sqrt{\quad }}~~,~~ \stackrel{\sqrt{~~}\textit{ of a number and one}}{\sqrt{x+1}}\implies 1+\sqrt{x+1}\stackrel{\textit{equals}}{=}4 \\\\\\ \sqrt{x+1}=3\implies \left( \sqrt{x+1} \right)^2=3^2\implies x+1=9\implies \boxed{x=8}[/tex]

Answer:

Socratic app

Step-by-step explanation:

it will help you

Answer: 478,412

Step-by-step explanation:

In order to do this just take 2 million and subtract the number of chips you wanted to take away. For example, it'd be 2,000,00 - 1,521,588 which leaves you with 478,412.

Answer:

33/100

Step-by-step explanation:

E = 99/3

p = E/S = 33/100

Answer:

7/10 or

0.7 or

70 percent

Step-by-step explanation:

[tex]p (democrat \: or \: business \: major \: ) = \frac{30 + 4 + 8}{60} [/tex]

[tex] = \frac{42}{60} [/tex]

[tex] = 7/10[/tex]

Therefore, the probability is 7/10, 0.7 or 70 °/•

Answer:

false

Step-by-step explanation:

3(2×−4)=8+2×+6

Multiply 3 and 2 to get 6.

6(−4)=8+2×6

Multiply 6 and −4 to get −24.

−24=8+2×6

Multiply 2 and 6 to get 12.

−24=8+12

Add 8 and 12 to get 20.

−24=20

Compare −24 and 20.

Answer:

211 remainder 6

Step-by-step explanation:

Step-by-step explanation:

211,85714

211 is the whole number

,85714 is the remainder

Answer:

-4(2k + 3)

Step-by-step explanation:

Factoring is just dividing the whole thing by that

So -8k - 12 becomes -4(2k + 3)

Answer: The scatterplot is shown below.

Explanation:

Each row in the table represents a different (x,y) point.

For example, the first row says that x = 2 and y = 1. We'll have a point at (2,1) on the graph. This means we start at the lower left corner which is the origin. Then we move 2 units to the right and 1 unit up to arrive at (2,1). The other rows are handled in a similar manner to get what you see below. The points are not connected with any line or curve. The labeling of A,B,C, etc is optional. I did it to help keep track of all the points in the table.

Answer:

256, 3125

Step-by-step explanation:

This may be the sequence n^n:  1^1, 2^2, 3^3, 4^4, 5^5, 6^6, ...

Let's check with the numbers we see:

1^1 = 1

2^2 = 4

3^3 = 27

6^6 = 46656

Yes, this is the sequence n^n.

The 4th term is:

4^4 = 256

The 5th term is:

5^5 = 3125

Answer:

(x,y) = (5/21, -50/21)

Step-by-step explanation:

Answer:

a 'term'

Step-by-step explanation:

3r means the constant 3 multiplied by the variable 'r'

Answer:

equal 11

Step-by-step explanation:

:>

hmmm wonder what else it would be

Answer:

[tex]\frac{3}{2m}[/tex]+8m

Answer:

the sum of quotient of 3 and 2m and the product of 8 and m is

(3/2m +8m)

Check the picture below.