Answer:
Jane drives at an average speed of 45 mph on a journey of 135 miles. How long ... by speed. 135 miles ÷ 45 mph = 3 hours ... of 8 mph. If he cycles for 6½ hours, how far does he travel? ... in 4 hours. (a) What is her average speed for the first part of the journey? ... (a) What is average speed of the car in miles per hour? mph.
Step-by-step explanation:
Answer:Q3. 67.24 sq. ft.
Q4. 22582.88 sq. cm.
Q6. 115 sq. cm.
Q10. 240 sq. in.
Step-by-step explanation:
A geometric series is the collection of an unlimited number of terms with a fixed ratio between them. The missing value in the table below is 343. The correct option is A.
<h3>What is geometrical series?</h3>
A geometric series is the collection of an unlimited number of terms with a fixed ratio between them.
The given table if closely observed forms a geometric progression, this is because the value of the dependent variable, y is increasing by a common ratio. The common ratio in the table is,
Common ratio = y₂/y₁ = 1/(1/7) = 7
Now, for any geometric progression, the value of the nth term is given as,
Tₙ = a₁ (r)⁽ⁿ⁻¹⁾
where a₁ is the first term of the geometric progression and r is the common ratio. Therefore, the nth term of the series is,
T = a₁ (r)⁽ⁿ⁻¹⁾
Tₙ = (1/7) (7)⁽ⁿ⁻¹⁾
y = (1/7)(7)⁽ˣ⁻¹⁾
Now, the value of the y when the value of x is 5 is,
y = (1/7)(7)⁽ˣ⁻¹⁾
y = (1/7)(7)⁽⁵⁻¹⁾
y = (1/7)(7)⁴
y = (1/7) × 2401
y = 343
Hence, the missing value in the table below is 343.
Learn more about Geometrical Series here:
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Answer:
A. y = $800 + $1.50x
B. The cost to run the company each month = y
C. The initial cost ($800) plus the cost of each t-shirt ($1.50) and the number of t-shirts (x)
Step-by-step explanation:
I hope this helps :)