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3 years ago

The expression below represents the number of bacteria in a petri dish after t hours. Interpret the meaning of the expression.

Mathematics

1 answer:

konstantin123 [22]3 years ago

3 0

The answer is B) The initial number of bacteria is 57, and the growth rate is 31% per hour.

The expression shown is an exponential expression. An exponential expression usually takes the form $ab^{x}$ , as this one does. A represents the initial value, in this case-the initial number of bacteria. B represents the growth rate. When it is an increasing growth rate, it will begin with 1, because it will have everything it had before, plus the percent increase, the decimal portion. In this case, a=57, and b=0.31.

Hope this makes sense!

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Simplify the expression r^-3 s^5 t^2/r^2 st^-2

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3 years ago

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kipiarov [429]

Answer:

32.33 <= m

Step-by-step explanation:

Since we are dealing with below sea level our initial starting point and max level will both be negative values, while our descending rate will also be negative because we are going down. Using the values provided we can create the following inequality...

-400 <= -12m - 12

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2 years ago

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1 year ago

Read 2 more answers

If the initial velocity stays the same, but the height the projectile is launched from changes , how would the amount of time ch

pickupchik [31]

Answer:

Part A

The height to which the projectile reaches is given by the following formula;

$\Delta y = y-y_0 = v_{0y} \times t-\dfrac{1}{2} \times g \times t^2$

Where;

$v_{0y}$ = The initial velocity of the projectile = Stays the same

y = The height the projectile reaches

y₀ = The height from which the projectile is launched

g = The acceleration due to gravity

t = The time taken

Given that the projectile has the same initial velocity, the variation of Δy with time, 't', will be the same when the project is launched from a different height, and the time change that it takes for the projectile to reach the maximum height will be the same for the previous launch height

Part B

From the change in eight of the projectile, Δy = y - y₀, the maximum height reached, 'y', is therefore given as follows;

y = Δy + y₀

The maximum height will increase by 'y₀', where 'y₀' is the difference between new height and the previous height, $y_i$

That is, if y₀ > $y_i$ , the maximum height reached increases and if y₀ < $y_i$ , y₀ will be added as y = Δy - y₀ and the maximum height reached decreases

Step-by-step explanation:

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3 years ago