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bixtya [17]
3 years ago
13

Using the order of operations , solve the value of the expression.

Mathematics
1 answer:
velikii [3]3 years ago
8 0
Hello.

\frac{1}{6} (\sqrt{36} \div 3^{-2}) + 4^{3} \div |-8| = \\ \\ \frac{1}{6} (6 \div \frac{1}{9}) + 64 \div 8 \\ \\ \frac{1}{6} \times 54 + 8 \\ \\ \frac{54}{6} + 8 \\ \\ 9 + 8 = \\ \\ 17

Hope I helped!
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Evaluate each expression for r=9 n t=14 enter in your numerical answer
Neko [114]

Answer:

1764

Step-by-step explanation:

from \: the \: question \: rt {}^{2}  \\ were \: r =9  \\ and \: t = 14 \\ rt {}^{2}  = 9 \times (14) {}^{2}  = 9 \times 196 = 1764

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2 years ago
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A. The slope of the curve y=x^3- 1 at the point P(1,0) is<br> .
Ierofanga [76]

Answer:

3

Step-by-step explanation:

The measure of the slope is \frac{dy}{dx} at x = a

Differentiate using the power rule

\frac{d}{dx}(ax^{n}) = nax^{n-1}

Given

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3 years ago
The red Maserati traveled at a speed of 120km/h for 5 hours one day. The green Ford Pickup traveled at a speed of 74km/h for 6 h
ehidna [41]

Answer:

156km

Step-by-step explanation:

Given data

The red Maserati traveled at a speed of 120km/h for 5 hours one day.

Distance = speed*time

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3 years ago
The population of a town grows at a rate proportional to the population present at time t. The initial population of 500 increas
Mazyrski [523]

Answer:

The population in 40 years will be 1220.

Step-by-step explanation:

The population of a town grows at a rate proportional to the population present at time t.

This means that:

P(t) = P(0)e^{rt}

In which P(t) is the population after t years, P(0) is the initial population and r is the growth rate.

The initial population of 500 increases by 25% in 10 years.

This means that P(0) = 500, P(10) = 1.25*500 = 625

We apply this to the equation and find t.

P(t) = P(0)e^{rt}

625 = 500e^{10r}

e^{10r} = \frac{625}{500}

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10r = \ln{1.25}

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r = 0.0223

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What will be the population in 40 years

This is P(40).

P(t) = 500e^{0.0223t}

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The population in 40 years will be 1220.

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kakasveta [241]
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