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2 years ago

3. Simplify. Show your work. 3 over 8 times 1 over 5

1 answer:

8 0

Find a common denominator between the 2 fractions, the common denominator would be 40. So you will Multiple 3/8 by 5/5 giving you 15/40, then you will multiply 1/5 by 8/8 giving you 8/40. Now you can can just add them together which is 23/40. *this answer cannot be simplified*

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What is the distance between Harry’s home and his office?

Svetach [21]

Answer:

The distance between Harry’s home and his office? is 15 miles.

Step-by-step explanation:

The speed, distance time formula is:

$Speed(s)=\frac{Distance(d)}{Time(t)}$

Given:

Speed (s) = 30 miles/hour

Then the relation between distance and time is:

$s=\frac{d}{t} \\30=\frac{d}{t}\\d=30t...(i)$

If Speed was 60 miles/hour the time taken is $(t-\frac{1}{4})$ hours.

Then the relation between distance and time is:

$s=\frac{d}{t} \\60=\frac{d}{(t-\frac{1}{4}) }\\d=60t-15...(ii)$

Use the value of d = 30t in (ii)

$d=60t-15\\30t=60t-15\\30t=15\\t=\frac{1}{2} hour$

Determine the distance as follows:

$d=30t\\=30\times\frac{1}{2} \\=15\ miles$

Thus, the distance between Harry’s home and his office? is 15 miles.

5 0

3 years ago

Am I dealing with harmonic stuff (trig)?

pochemuha

You just need to solve for when $y=0$ :

$\dfrac{\cos8t-9\sin8t}4=0\implies\cos8t-9\sin8t=0$

$\implies\cos8t=9\sin8t$

$\implies\dfrac19=\dfrac{\sin8t}{\cos8t}=\tan8t$

$\implies8t=\tan^{-1}\dfrac19+n\pi$

$\implies t=\dfrac18\tan^{-1}\dfrac19+\dfrac{n\pi}8$

where $n$ is any integer. We only care about when $0\le t\le1$ , which happens for $n\in\{0,1,2\}$ .

$t=\dfrac18\tan^{-1}\dfrac19\approx0.01$

$t=\dfrac18\tan^{-1}\dfrac19+\dfrac\pi8\approx0.41$

$t=\dfrac18\tan^{-1}\dfrac19+\dfrac\pi4\approx0.80$

8 0

3 years ago

Describe the end behavior of the following function: F(x)=2x^4+x^3

Anika [276]

Answer:

Rises to the left and rises to the right.

Step-by-step explanation:

Since, the given function is f(x)= $2x^{4}+x^{3}$ , and the end behavior of the given function is determined as:

Consider the given function f(x)= $2x^{4}+x^{3}$ , identify the degree of the function:

The degree of the function is : 4 which is even

And then identify the leading coefficient of the given function that is +2 which is positive in nature.

Hence, the function is positive and even in nature, therefore, the end behavior of the function will be rising to the left and rising to the right.

3 0

2 years ago

please help me answer this question! it’s due in soon. could you do this?

ASHA 777 [7]

Answer:

a:) Integer Sequences

b:) 1, 3, 6, 10, 15, 21, 28, 36, 45, 55, 66, 78, 91, 105, 120, 136, 153, 171, 190, 210, ...

Step-by-step explanation:

3 0

2 years ago

Read 2 more answers

How can I create an independent and dependent probability word problem that is about gumball? (also, the answer has to be writte

Gnoma [55]

A jar of jelly beans contains 50 red gumballs , 45 yellow gumballs, and 30 green gumballs. You reach into the jar and randomly select a jelly bean, then select another without putting the first jelly bean back. What is the probability that you draw two red jelly beans? This is Dependent because you didnt put the other jelly bean in thus changing the total nmber of jelly beans.

A jar of jelly beans contains 50 red gumballs , 45 yellow gumballs, and 30 green gumballs. You reach into the jar and randomly select a jelly bean, then select another while replacing the first jelly bean back. What is the probability that you draw two red jelly beans? This is Independent because you put the other jelly bean in thus keeping the total number of jelly beans.

8 0

2 years ago