12. A rectangle PQRS is congruent to rectangle JKLM. If the area of rectangle PQRS is
1 answer:
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The function f(x) = 5(x)⁴, and f(x) = 5(4)ˣ represents the function that passes through the point (2, 80) option second and fourth are correct.
<h3>What is an exponential function?</h3>It is defined as the function that rapidly increases and the value of the exponential function is always a positive. It denotes with exponent
where a is a constant and a>1
We have; an exponential function that passes through the point (2, 80).
f(x) = 4(x)⁵
Plug (2, 80) in the abovew function:
f(2) = 4(2)⁵ = 128 (false)
f(x) = 5(x)⁴
Plug (2, 80) in the abovew function:
f(2) = 5(2)⁴ = 80 (true)
f(x) = 4(5)ˣ
f(2) = 4(5)² = 100 (false)
f(x) = 5(4)ˣ
f(2) = 5(4)² = 80 (true)
Thus, the function f(x) = 5(x)⁴, and f(x) = 5(4)ˣ represents the function that passes through the point (2, 80) option second and fourth are correct.
Learn more about the exponential function here:
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Hi there,
Recall how 7 packs for gum sell for $29.33.
Before we can calculate how much it would cost to sell 3 packs of gum, we must calculate how much it would first cost to sell 1 pack of gum.
The cost of 1 pack of gum is the current total cost divided by the total amount of gum packs you receive at that price.
In this case, the total cost is $29.33, and we receive 7 gum packs at that price.
Therefore, the cost of 1 pack of gum is , which equates to $4.19.
We now know that each pack of gum costs $4.19.
Hence, 3 packs of gum would cost three times that price.
The cost of 3 packs of gum is $12.57.
Hope that helps!
Answer:
Each knight will guard <u>288 minutes</u> in one day.
Step-by-step explanation:
Given:
A castle has to be guarded 24 hours a day. Five knights are ordered to split each day's guard duty equally.
Now, to find the minutes will each night spend on guard duty in one day.
As, in 1 hour there are 60 minutes.
Thus, in 24 hour there are 60 × 24 = 1440 minutes.
Total minutes for guarding = 1440 minutes.
So, there are knights ordered for guarding are = 5.
And each day's guard duty equally.
Now, to get the minutes will each night spend on guard duty in one day we divide the total minutes for guarding by number of knights that is 5:
Therefore, each knight will guard 288 minutes in one day.