All categories

3 years ago

The explicit and recursive formula for 3 12 48 192

Mathematics

1 answer:

iren2701 [21]3 years ago

8 0

An=3*(4^(n-1)) is the explicit
the recursive is <span>t_n = 4 * t_(n-1)</span>

You might be interested in

Statements apply to the expression 8^3 ?check all that apply

hram777 [196]

Answer: So, 8%3 = 2

Step-by-step explanation:

6 0

3 years ago

Jim is trying to improve his speed on the track so he can qualify for the State Championships. As he is running, he goes from 70

kumpel [21]

Answer:

His acceleration is $\frac{1}{15}$ meters per seconds²

Step-by-step explanation:

Acceleration is the rate of change of the speed

The formula of acceleration is $a=\frac{v_{f}-v_{i}}{t}$ , where

$v_{f}$ is the final speed
$v_{i}$ is the initial speed
The unit of the acceleration is meters/second²

∵ Jim goes from 70 meters/minute (beginning speed) to

106 meters/minute (final speed) in 9 seconds

∴ His initial speed $v_{i}$ = 70 meters/minute

- Change it the meter per second

∵ 1 minute = 60 seconds

∴ $\frac{70}{(1)(60)}=\frac{70}{60}=\frac{7}{6}$ meters/second

∴ $v_{i}$ = $\frac{7}{6}$ meters/second

∵ His final speed $v_{f}$ = 106 meters/minute

- Change it the meter per second

∴ $\frac{106}{(1)(60)}=\frac{106}{60}=\frac{53}{30}$ meters/second

∴ $v_{f}$ = $\frac{53}{30}$ meters/second

∵ The time of the change of his speed is 9 seconds

∴ t = 9

∵ The formula of acceleration is $a=\frac{v_{f}-v_{i}}{t}$

- Substitute the values of t, $v_{i}$ and $v_{f}$ in the formula above

∴ $a=\frac{\frac{53}{30}-\frac{7}{6}}{9}=\frac{1}{15}$

∴ His acceleration is $\frac{1}{15}$ meters per seconds²

3 0

3 years ago

Find the value of n in this equation.

lisabon 2012 [21]

Answer:

D. 9

=========================

<h2>Given </h2>

Triangle with:

Base of n² -3,
Midsegment of 39.

The value of n.

<h2>Solution</h2>

As per definition of midsegment, it is connecting the midpoints of two sides and its length is half the length of the opposite side of the triangle.

So we have:

(n² - 3)/2 = 39

Solve it for n:

n² - 3 = 78
n² = 81
n = √81
n = 9

Correct choice is D.

3 0

1 year ago

Guys help me out on this one plizzz

evablogger [386]

<span>The term that you want is 5C2*p^2*q^3 representing 2 successes and 3 failures. This term's value is</span>

<span>(5C2)(0.5^5) = 10*0.03125 = 0.3125 = P(2 successes in 5 trials) =31.3% </span>

5 0

3 years ago

The temperature in Lucy's refrigerator is 2.74 degrees celious.the temperature in the freezer section of her refrigerator is -19

irinina [24]

2.74 - (-19.4) = 22.14, so the freezer is 22.14°c colder. I hope that helps!

8 0

4 years ago

Read 2 more answers