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4 years ago

Convert 30 feet per second to miles per minute.

Mathematics

1 answer:

konstantin123 [22]4 years ago

7 0

30 feet per second x 60 = 1,800 feet per minute

1,800 feet per minute / 5280 = 0.34 miles per minute

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Indicate the general rule for the arithmetic sequence with a3 = -12 and a8 = -37

Mandarinka [93]

Answer:

The general rule is $a_n = -2 - 5(n-1)$

Step-by-step explanation:

Arithmetic sequence:

In an arithmetic sequence, the difference between consecutive terms is always the same, and this difference is called common difference.

The general rule of an arithmetic sequence is given by:

$a_{n} = a_1 + (n-1)d$

In which $a_1$ is the first term and d is the common difference.

We can also find the nth term as a function of a term m, using:

$a_n = a_m + (n-m)d$

a3 = -12 and a8 = -37

First we find the common difference. So

$a_n = a_m + (n-m)d$

$a_8 = a_3 + (8-3)d$

$-37 = -12 + 5d$

$5d = -25$

$d = -\frac{25}{5}$

$d = -5$

$a_n = a_1 - 5(n-1)$

Finding the first term:

$a_n = a_1 - 5(n-1)$

Since $a_3 = -12$

$a_n = a_1 - 5(n-1)$

$a_3 = a_1 - 5(3-1)$

$a_1 = a_3 + 10 = -12 + 10 = -2$

So the general rule is:

$a_n = a_1 - 5(n-1)$

$a_n = -2 - 5(n-1)$

6 0

3 years ago

5 hours 15 min + 3 hours 33 min show the working as well

Alika [10]

Answer:

8 hours 48 mins

Step-by-step explanation:

h m

5:15

+3:33

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

8:48

5 hours + 3 hours =8 hours,

15 mins + 33 mins = 48 mins

Therefore, it's 8 hours 48 mins.

7 0

3 years ago

Read 2 more answers

Help me out with this question pla

denis-greek [22]

P ≤ 450$ Rebecca can only pay equal to 450$ or less than 450$ so she can only afford A and B

3 0

3 years ago

MAJOR HELP!

Feliz [49]

Answer:

The radius of the cone is 21 units

The volume of the cone is 9702 units³

Step-by-step explanation:

* Lets revise the area of the circle and the volume of the cone

- The base if the cone is a circle

- The area of the circle is πr², where r is the radius of the circle

∵ The area of the base of the cone = 1386 units²

∵ The area of the base = πr²

∵ π = 22/7

∴ 1386 = 22/7 (r²) ⇒ multiply each side by 7

∴ 9702 = 22 r² ⇒ divide both sides by 22

∴ 441 = r² ⇒ take √ for both sides

∴ 21 = r

* The radius of the cone is 21 units

- The volume of the cone = 1/3 πr²h , where h is the height of the cone

∵ The cone's height is equal to the radius of its base

∴ h = r

∵ The volume of the cone = 1/3 πr²h

∴ The volume of the cone = 1/3 πr²(r) = 1/3 πr³

∵ r = 21 units

∴ The volume of the cone = 1/3 (22/7) (21)³

∴ The volume of the cone = 9702 unit³

* The volume of the cone is 9702 units³

3 0

4 years ago

How do you write an equation for (-5,-1), (0,-1)

lesya692 [45]

Both the points have a coordinate where y is -1, so the equation is simply -1

y=-1

however if you wanted to really show the working out, it looks like this:

y=mx+c

m=change in y/change in x

m=(-1-1)/(-5+0)=0

subsitute one of the coordinates into y=mx+c

-1=0+c

c=-1

so then y=-1

4 0

3 years ago