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Sphinxa [80]
3 years ago
12

How do I solve this t + 1 = -3

Mathematics
2 answers:
True [87]3 years ago
7 0

Answer:

-4

Step-by-step explanation:

"t" could be any number.

The equation is basically asking, if you add 1 to a number, and it equals -3, then what number did you add to? To solve this just reverse the equation (subtract 1 from -3), which will get you -4.

"t" is -4

MrRa [10]3 years ago
3 0
Solve for t. Simply sense its +1, do the opposite and minus 1 from both sides of the equation. +1 - 1 = 0; -3 -1 = -4. Therefore, t = -4 is the correct solution.
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Read 2 more answers
A circle is growing so that the radius is increasing at the rate of 3 cm/min. How fast is the area of the circle changing at the
Naya [18.7K]

Answer:

The area is growing at a rate of \frac{dA}{dt} =226.2 \,\frac{cm^2}{min}

Step-by-step explanation:

<em>Notice that this problem requires the use of implicit differentiation in related rates (some some calculus concepts to be understood), and not all middle school students cover such.</em>

We identify that the info given on the increasing rate of the circle's radius is 3 \frac{cm}{min} and we identify such as the following differential rate:

\frac{dr}{dt} = 3\,\frac{cm}{min}

Our unknown is the rate at which the area (A) of the circle is growing under these circumstances,that is, we need to find  \frac{dA}{dt}.

So we look into a formula for the area (A) of a circle in terms of its radius (r), so as to have a way of connecting both quantities (A and r):

A=\pi\,r^2

We now apply the derivative operator with respect to time (\frac{d}{dt}) to this equation, and use chain rule as we find the quadratic form of the radius:

\frac{d}{dt} [A=\pi\,r^2]\\\frac{dA}{dt} =\pi\,*2*r*\frac{dr}{dt}

Now we replace the known values of the rate at which the radius is growing ( \frac{dr}{dt} = 3\,\frac{cm}{min}), and also the value of the radius (r = 12 cm) at which we need to find he specific rate of change for the area :

\frac{dA}{dt} =\pi\,*2*r*\frac{dr}{dt}\\\frac{dA}{dt} =\pi\,*2*(12\,cm)*(3\,\frac{cm}{min}) \\\frac{dA}{dt} =226.19467 \,\frac{cm^2}{min}\\

which we can round to one decimal place as:

\frac{dA}{dt} =226.2 \,\frac{cm^2}{min}

4 0
3 years ago
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Nostrana [21]
Answer:
c=(f-d)/ab

Explanation:
abc+d=f
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abc=f-d
Divide both sides by ab to cancel it out on the left side and isolate the c
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c=(f-d)/ab

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