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2 years ago

Find the value of the expression 3m^2+2p^2-15 when m =3 and p = 10

1 answer:

5 0

$3m {}^{2} + {2p}^{2} - 15$
m = 3
p = 10

$3 \times 3 {}^{2} + 2 \times {10}^{2} - 15 =$
$3 \times 9 + 2 \times 100 - 15 =$
$27 + 200 - 15 =$
$212$

Hence, the answer is 212.

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Cost of life insurance is $30000 at a price of for each $24 for each $1000 of coverage.

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= $720

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2 years ago

Find the length of side x in simplest radical form with a rational denominator.60°130°X

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We will solve using the law of sines as follows:

$\frac{1}{\sin(30)}=\frac{X}{\sin (60)}$

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$\Rightarrow X=\frac{\sin(60)}{\sin(30)}\Rightarrow X=\sqrt[]{3}$

So, the length of X is sqrt(3).

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8 months ago

An ice cream stand uses the expression 2+ 0.5x to determine the cost in Dollars of an ice cream cone that has x amount of scoops

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4.5 is the answer (which may be $4.50 since we are speaking in terms of money)

7 0

2 years ago

The temperature changed from 7°f at 6pm to -5°f at midnight. What was the difference between the high an low temperatures? Whats

Ronch [10]

Answer:

Difference between high and low temperatures: 12°F

Average change in temperature per hour: 2°F

Step-by-step explanation:

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Midnight is 12am, so 6pm to midnight is 6 hours.

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2 years ago

Differentiating a Logarithmic Function In Exercise, find the derivative of the function.

sp2606 [1]

Answer:

$\dfrac{d(f(x))}{dx} = \dfrac{2}{x}$

Step-by-step explanation:

We are given the following function in the question:

$f(x) = \ln (3x^2)$

We have to derivate the given function.

Formula:

$\dfrac{d(\ln x)}{dx} = \dfrac{1}{x}\\\\\dfrac{d(x^n)}{dx} = nx^{n-1}$

The derivation takes place in the following manner

$f(x) = \ln (3x^2)\\\\\dfrac{d(f(x))}{dx} = \displaystyle\frac{d(\ln(3x^2))}{dx}\\\\=\frac{1}{3x^2}\times \frac{d(3x^2)}{dx}\\\\= \frac{1}{3x^2}\times (6x)\\\\=\frac{6x}{3x^2}\\\\=\frac{2}{x}$

$\dfrac{d(f(x))}{dx} = \dfrac{2}{x}$

5 0

2 years ago