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kaheart [24]
3 years ago
9

6% as ratio in simplest form.

Mathematics
1 answer:
Kitty [74]3 years ago
6 0

Answer:

3 : 50

Step-by-step explanation:

6% = 0.06

0.06 = 6/100

6/100 = 3/50

3/50 = 3 : 50

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50 points! I understand A. and B. but I would really appreciate help with C.
FromTheMoon [43]

Answer:

51.72\text{ cells per hour}

Step-by-step explanation:

So, the function, P(t), represents the number of cells after t hours.

This means that the derivative, P'(t), represents the instantaneous rate of change (in cells per hour) at a certain point t.

C)

So, we are given that the quadratic curve of the trend is the function:

P(t)=6.10t^2-9.28t+16.43

To find the <em>instanteous</em> rate of growth at t=5 hours, we must first differentiate the function. So, differentiate with respect to t:

\frac{d}{dt}[P(t)]=\frac{d}{dt}[6.10t^2-9.28t+16.43]

Expand:

P'(t)=\frac{d}{dt}[6.10t^2]+\frac{d}{dt}[-9.28t]+\frac{d}{dt}[16.43]

Move the constant to the front using the constant multiple rule. The derivative of a constant is 0. So:

P'(t)=6.10\frac{d}{dt}[t^2]-9.28\frac{d}{dt}[t]

Differentiate. Use the power rule:

P'(t)=6.10(2t)-9.28(1)

Simplify:

P'(t)=12.20t-9.28

So, to find the instantaneous rate of growth at t=5, substitute 5 into our differentiated function:

P'(5)=12.20(5)-9.28

Multiply:

P'(5)=61-9.28

Subtract:

P'(5)=51.72

This tells us that at <em>exactly</em> t=5, the rate of growth is 51.72 cells per hour.

And we're done!

7 0
2 years ago
How can you classify a trapezoid in other terms?
Harrizon [31]
<span>The sections that it is in are Classifying Quadrilaterals Properties of Parallelograms Special Parallelograms Trapezoids and Kites Placing Figures in the Coordinate Plane</span>
8 0
3 years ago
Select the correct operator for the following exponential express
kow [346]

Answer:

B

Step-by-step explanation:

not sure tho

6 0
2 years ago
2y to the power of 4 x 5y to the power of 3
Yakvenalex [24]

Answer:

(2•5y to the 7th power)

Step-by-step explanation:

Step 1:  (2y to the 4th power • 5) • y to the 3rd power

Step 2:  (2•5y to the 4th power) • y to the 3rd power

Step 3:  3.1    y to the 4th power multiplied by y to the 3rd power = y to the  (4 + 3) power = y to the 7th power

Final answer:  (2•5y to the 7th power)

6 0
2 years ago
Write an equation in two variables in the standard form that can be used to describe the velocity of the car at different times.
ira [324]
Velocity of the car is equal to the distance travelled by the time spent.

If V= velocity, d = distance & time = t, then


the equation becomes V=d/t
3 0
3 years ago
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