Answer: 270 miles
Step-by-step explanation:
From the question, we are informed that the scale for a map to actual distance is 2 cm to 100 mi and that the driving distance on the map between Los Angeles and Las Vegas is 5.4 cm.
The actual distance, in miles, between Los Angeles and Las Vegas will go thus:
= 5.4cm/2cm × 100mi
= 2.7cm × 100miles
= 270 miles
Answer:
3x - y = -28
Step-by-step explanation:
Given the equation y-4 = 3(x+8), distribute and simplify to get the Standard Form.
y-4 = 3(x+8)
y - 4 = 3x + 24
y = 3x + 28
-3x + y = 28
Standard form does not allow the coefficient of x to be negative so multiply the equation by -1.
3x - y = -28
Answer:
Graph uploaded!
Step-by-step explanation:
<u>First, let's solve the distributive property.</u>
- 4/5(x - 2) ≤ 6
- => 4x/5 - 8/5 ≤ 6
- => 4x/5 ≤ 6 + 8/5
- => 4x/5 ≤ 38/5
- => x ≤ 19/2
Now, let's plot this inequality on the line. Please check my graph.
Hoped this helped!
Answer:
Given the series,
∑ ∞ n = 1 − 4 ( − 1 / 2 ) n − 1
I think the series is summation from n = 1 to ∞ of -4(-1/2)^(n-1)
So,
∑ − 4 ( − ½ )^(n − 1). From n = 1 to ∞
There are different types of test to show if a series converges or diverges
So, using Ratio test
Lim n → ∞ (a_n+1 / a_n)
Lim n → ∞ (-4(-1/ 2)^(n+1-1) / -4(-1/2)^(n-1))
Lim n → ∞ ((-4(-1/2)^(n) / -4(-1/2)^(n-1))
Lim n → ∞ (-1/2)ⁿ / (-1/2)^(n-1)
Lim n→ ∞ (-1/2)^(n-n+1)
Lim n→ ∞ (-1/2)^1 = -1/2
Since the limit is less than 0, then, the series converge...
Sum to infinity
Using geometric progression formula
S∞ = a / 1 - r
Where
a is first term
r is common ratio
So, first term is
a_1 = -4(-½)^1-1 = -4(-½)^0 = -4 × 1
a_1 = -4
Common ratio r = a_2 / a_1
a_2 = 4(-½)^2-1 = -4(-½)^1 = -4 × -½ = 2
a_2 = 2
Then,
r = a_2 / a_1 = 2 / -4 = -½
S∞ = -4 / 1--½
S∞ = -4 / 1 + ½
S∞ = -4 / 3/2 = -4 × 2 / 3
S∞ = -8 / 3 = -2⅔
The sum to infinity is -2.67 or -2⅔
<h2>
Step-by-step explanation: PHEW THAT TOOK A WHILE LOL IM A FAST TYPER</h2>
Area =l×w
15.4=7×w
15.4/7=7/7w
2.2=w
Therefore the length of the height or width is 2.2ft
