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Gelneren [198K]
3 years ago
13

A magic slug is sitting on a platypus. The slug doubles in weight each hour. If the slug weighs 1 pound at noon, what time will

the slug weigh 128 pounds
Mathematics
1 answer:
Yuki888 [10]3 years ago
7 0
The slug will weigh 128 lbs at 7pm
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Use the description and table to graph the function, and determine the domain and range of f(x). Represent the domain and range
zmey [24]

The domain of the function is x > 0 and the range of the function is -∞ < f(x) < ∞

<h3>How to determine the domain?</h3>

The table represents a logarithmic function.

The domain represents the set of x values.

From the table, we can see that all the x values are positive values i.e. x > 0

Hence, the domain of the function is x > 0

<h3>How to determine the range?</h3>

From the table, the table outputs all zero, positive and negative numbers

This means that the range is the set of all real numbers.

Hence, the range of the function is -∞ < f(x) < ∞

Read more about domain and range at:

brainly.com/question/11787743

#SPJ1

7 0
2 years ago
What is the answer to this?
PSYCHO15rus [73]

Answer:

i can only say that you should use this forumla, the sins law

sin(a)/A = sin(b)/B = sin(c)/C

Step-by-step explanation:

7 0
3 years ago
Need help ASAP <br> Mathswatch
pshichka [43]

Answer:

40

Step-by-step explanation:

because 40 goes in to 8 5 times and it also goes into 80 2 times

4 0
3 years ago
Read 2 more answers
For her parents' anniversary party, Ellie is considering using one of two venues. A hotel in
kompoz [17]

The hotel is $250 plus $25 per person so the equation would be

y= 25x + 250

(Y is the total cost and x is the number of people)

the restaurant is $100 plus $40 per person so the equation would be

y = 40x + 100

What we want to know is which x value would make the y values equal to each other. So you can just replace the "y" in one equation with the other equation:

25x + 250 = 40x + 100

and then solve...

1. subtract 100 from both sides

    25x + 150 = 40x

2. subtract 25x from both sides

    150 = 15 x

3. divide both sides by 15

    10 = x

you can check by plugging 10 into the original equations

25(10) + 250

250 + 250 = 500

and

40(10) + 100

400 + 100 = 500

they both cost $500 when you invite 10 people

6 0
3 years ago
Find the solution of the differential equation that satisfies the given initial condition. y' tan x = 3a + y, y(π/3) = 3a, 0 &lt
Paladinen [302]

Answer:

y(x)=4a\sqrt{3}* sin(x)-3a

Step-by-step explanation:

We have a separable equation, first let's rewrite the equation as:

\frac{dy(x)}{dx} =\frac{3a+y}{tan(x)}

But:

\frac{1}{tan(x)} =cot(x)

So:

\frac{dy(x)}{dx} =cot(x)*(3a+y)

Multiplying both sides by dx and dividing both sides by 3a+y:

\frac{dy}{3a+y} =cot(x)dx

Integrating both sides:

\int\ \frac{dy}{3a+y} =\int\cot(x) \, dx

Evaluating the integrals:

log(3a+y)=log(sin(x))+C_1

Where C1 is an arbitrary constant.

Solving for y:

y(x)=-3a+e^{C_1} sin(x)

e^{C_1} =constant

So:

y(x)=C_1*sin(x)-3a

Finally, let's evaluate the initial condition in order to find C1:

y(\frac{\pi}{3} )=3a=C_1*sin(\frac{\pi}{3})-3a\\ 3a=C_1*\frac{\sqrt{3} }{2} -3a

Solving for C1:

C_1=4a\sqrt{3}

Therefore:

y(x)=4a\sqrt{3}* sin(x)-3a

3 0
3 years ago
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