Is there any option to choose from ?
If so show them and I’ll probably be able to answer .
Answer:
the answer would be 116.
This is because if half of the kernels popped you just multiply 58 by 2 to get 100 percent of the kernels.
I hope this helps! Please mark me Brainliest!
Step-by-step explanation:
Answer:
Option A. 5
Step-by-step explanation:
From the question given above, the following data were obtained:
First term (a) = –3
Common ratio (r) = 6
Sum of series (Sₙ) = –4665
Number of term (n) =?
The number of terms in the series can be obtained as follow:
Sₙ = a[rⁿ – 1] / r – 1
–4665 = –3[6ⁿ – 1] / 6 – 1
–4665 = –3[6ⁿ – 1] / 5
Cross multiply
–4665 × 5 = –3[6ⁿ – 1]
–23325 = –3[6ⁿ – 1]
Divide both side by –3
–23325 / –3 = 6ⁿ – 1
7775 = 6ⁿ – 1
Collect like terms
7775 + 1 = 6ⁿ
7776 = 6ⁿ
Express 7776 in index form with 6 as the base
6⁵ = 6ⁿ
n = 5
Thus, the number of terms in the geometric series is 5.
Answer:
To multiply these two terms you multiply each individual term in the left parenthesis by each individual term in the right parenthesis.
(
x
+
5
)
(
x
+
2
)
becomes:
(
x
×
x
)
+
(
x
×
2
)
+
(
5
×
x
)
+
(
5
×
2
)
x
2
+
2
x
+
5
x
+
10
We can now combine like terms:
x
2
+
(
2
+
5
)
x
+
10
x
2
+
7
x
+
10
Step-by-step explanation:
Answer:
37.5 miles per hour
Step-by-step explanation:
The traffic along a stretch road moves at an average speed that carried inversely as the number of cars
Average speed= k/number of cars.
When there are 1,500 cars the average speed is 45
The first step is to calculate the constant k
45= k/1500
k = 1,500 × 45
k= 67,500
Therefore the average speed when there are 1,800 cars can be calculated as follows
Average speed= 67,500/1,800
= 37.5 miles per hour
Hence the average speed is 37.5 moles per hour
