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3 years ago

5(n–2)=5n–10how many solutions does it have

Mathematics

1 answer:

Travka [436]3 years ago

4 0

since the equation on the left can be rewritten :

to be 5n-10 then both sides of the equation are equal

so any real number will work

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What is the 10th term of the geometric sequence 400, 200, 100...?

Vsevolod [243]

ANSWER

$a_ {10} = \frac{25}{32}$

EXPLANATION

The given geometric sequence is

400, 200, 100...

The first term is

$a_1=400$

The common ratio is

$r = \frac{200}{400} = \frac{1}{2}$

The nth term is

$a_n=a_1( {r}^{n - 1} )$

We substitute the known values to get;

$a_n=400( \frac{1}{2} )^{n - 1}$

$a_ {10} =400( \frac{1}{2} )^{10 - 1}$

$a_ {10} =400( \frac{1}{2} )^{9}$

$a_ {10} = \frac{25}{32}$

4 0

3 years ago

Suppose that the water level of a river is 34 feet and that it is receding at a rate of 0.5 foot per day. Write an equation for

weeeeeb [17]

Answer:

L = -0.5x + 34

Step-by-step explanation:

When finding m in the formula y = mx + b. Find a word that means multiplication, in this case 0.5 feet per day.

6 0

2 years ago

City A is due north of City B. Find the distance between City A (36 degrees 6 prime36°6′ north latitude) and City B (21 degre

vitfil [10]

Answer:

distance = 994.75 miles

Step-by-step explanation:

given data

City A = 36°6′ = 36° + $\frac{6}{60}$ = 36.1° = 36.1° × $\frac{\pi}{180}$ = 0.6297 rad

City B = 21°42′ = 21° + $\frac{42}{60}$ = 21.7° = 21.7° × $\frac{\pi}{180}$ = 0.3785 rad

multiply by π/180 to convert the degree to radian

radius of Earth = 3960 miles

to find out

distance between City A and City B

solution

we first get here central angle between A and B city is

central angle between A and B city = 0.6297 rad - 0.3785 rad

and

now by arc length so we get distance

distance = 3960 miles × (0.6297 rad - 0.3785 rad )

distance = 994.75 miles

5 0

3 years ago

Which way does a column go

Neko [114]

A column is going from top to bottom

4 0

3 years ago

Read 2 more answers

What is 2/5 as a decimal?

goldenfox [79]

2 / 5 = 0.4

2 divided by 5 = 0.4

8 0

3 years ago

Read 2 more answers