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3 years ago

Write an expression that equivalent to (7^-8)(7^3)

Mathematics

1 answer:

I am Lyosha [343]3 years ago

6 0

Answer:

(7^-8)(7^3) = 7^(-8+3) = 7^(-5)

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What’s the answer to 8-(-4)

mash [69]

Answer:

+ 12

Step-by-step explanation:

8 - (- 4) = 8 + 4 = 12

8 0

3 years ago

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A particle moves on the hyperbola xy=18 for time t≥0 seconds. At a certain instant, y=6 and dydt=8. What is x that this instant?

professor190 [17]

Answer:

The value of x at this instant is 3.

Step-by-step explanation:

Let $x\cdot y = 18$ , we get an additional equation by implicit differentiation:

$x\cdot \frac{dy}{dt}+y\cdot \frac{dx}{dt} = 0$ (1)

From the first equation we find that:

$x = \frac{18}{y}$ (2)

By applying (2) in (1), we get the resulting expression:

$\frac{18}{y}\cdot \frac{dy}{dt}+y\cdot \frac{dx}{dt} = 0$ (3)

$y\cdot \frac{dx}{dt}=-\frac{18}{y}\cdot \frac{dy}{dt}$

$\frac{dx}{dt} = -\frac{18}{y^{2}} \cdot \frac{dy}{dt}$

If we know that $y = 6$ and $\frac{dy}{dt} = 8$ , then the first derivative of x in time is:

$\frac{dx}{dt} = -\frac{18}{6^{2}} \cdot (8)$

$\frac{dx}{dt} = -4$

From (1) we determine the value of x at this instant:

$x\cdot \frac{dy}{dt} = -y\cdot \frac{dx}{dt}$

$x = -y\cdot \left(\frac{\frac{dx}{dt} }{\frac{dy}{dt} } \right)$

$x = -6\cdot \left(\frac{-4}{8} \right)$

$x = 3$

The value of x at this instant is 3.

4 0

3 years ago

Your cellphone plan gives you 500 minutes monthly. If you have used 310 minutes already and there is a week left this month, how

Nitella [24]

In this case, you already used 310 minutes out of 500 minutes monthly. So the remaining time for your cell phone should be: 500 minutes -310 minutes= 190 minutes.
You still have 1 week this month, that means the 190 mins time must be divided into 1 week or 7 days. Then the duration you of cell phone use for each day should be: 190 minute/7days= 27.14 minutes/day

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4 years ago

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Malcolm ran the 440-yard dash and the 220-yard dash at a track meet there are 3 feet in one yard how many total feet did Malcolm

masha68 [24]

1980 feet because 440+220=660 and 660 times 3 is 1980

4 0

4 years ago

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Tell weather the measurements can be the side lengths of a triangle. If so, classify the triangle as acute, obtuse, or right. 15

enyata [817]

Hi there!

Let's use the pythagorean theorem for both sets of values.

WORK:
${15}^{2} + {18}^{2} = {20}^{2}$
$225 + 324 = 400$
$549 > 400$
The first set of values is an ACUTE triangle.

${7}^{2} + {8}^{2} = {11}^{2}$
$49 + 64 = 121$
$113 < 121$
The second set of values is an OBTUSE triangle.

Hope this helps!! :)

4 0

3 years ago