Answer:
30 feet
Step-by-step explanation:
You got it.
3/30=30/300
Answer:
n = 10
Step-by-step explanation:
The sum to n terms of an arithmetic sequence is
=
[ 2a₁ + (n - 1)d ]
where a₁ is the first term and d the common difference
Here a₁ = 12 and d = 5 and
= 345, thus
[ (2 × 12) + 5(n - 1) ] = 345 ( multiply both sides by 2 )
n( 24 + 5n - 5) = 690 ← distribute and simplify left side
n(19 + 5n) = 690
19n + 5n² = 690 ( subtract 690 from both sides )
5n² + 19n - 690 = 0 ← in standard form
(5n + 69)(n - 10) = 0 ← in factored form
Equate each factor to zero and solve for n
5n + 69 = 0 ⇒ 5n = - 69 ⇒ n = - 
n - 10 = 0 ⇒ n = 10
However, n > 0 , thus n = 10
Answer:
The correct answer is C. 2.
Step-by-step explanation:
To solve this problem, we should begin with the second step and work backwards in order to find the unknown value. If given the equation -15x + 30 = 25, we should factor out a -15 to simplify. This method is shown below.
-15x + 30 = 25
-15(x-2) = 25
We know this is correct because if we redistribute the -15 through the parentheses using the distributive property, we would get our original equation again. In other words, this answer is confirmed by the fact that -15 * -2 equals positive 30.
However, we need to look closely at the question that is asked. The box that we must fill in is already preceded by a negative sign, thus the correct answer is C. 2.
We can check our work by replacing the box with the number 2, getting -15(x-2) + 30 = 25, which was the equation we got earlier.
Hope this helps!
Answer:
Scientific notation: 4 ⋅ 10 -4
expanded form: 0.0004