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frutty [35]
3 years ago
10

Jason can travel 24 3/4 miles in one half hour what is his average speed in miles per hour

Mathematics
1 answer:
NikAS [45]3 years ago
4 0
Average speed = 24 3/4 / 1 1/2 = 99/4 / 3/2 = 99/4 x 2/3 = 16 1/2 miles per hour.
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Help!! Which of the following best represents Z1 • Z2 select all that apply
AURORKA [14]

z_1=\sqrt{3}\left(cos\:\frac{\pi }{4}+i\:sin\:\frac{\pi }{4}\right)

z_2=\sqrt{6}\left(cos\:\frac{3\pi \:}{4}+i\:sin\:\frac{3\pi \:}{4}\right)

\cos \left(\frac{\pi }{4}\right)=\frac{\sqrt{2}}{2}

\sin \left(\frac{\pi }{4}\right)=\frac{\sqrt{2}}{2}

\cos \left(\frac{3\pi }{4}\right)=-\frac{\sqrt{2}}{2}

\sin \left(\frac{3\pi }{4}\right)=\frac{\sqrt{2}}{2}\\

Z_1*Z_2=\sqrt{3}\left(cos\:\frac{\pi }{4}+i\:sin\:\frac{\pi }{4}\right)\cdot \sqrt{6}\left(cos\:\frac{3\pi \:}{4}+i\:sin\:\frac{3\pi \:}{4}\right)

=\sqrt{3}\left(\frac{\sqrt{2}}{2}+\:i\frac{\sqrt{2}}{2}\right)\cdot \sqrt{6}\left(\frac{-\sqrt{2}}{2}+\:i\frac{\sqrt{2}}{2}\right)

On simplifying, we get

Z_1* Z_2 =-3\sqrt{2}

<h2>Therefore, correct option is  1st option.</h2>
3 0
3 years ago
F(x) = 9x - x2 + 3x<br> F(1) =
mojhsa [17]

Answer:

f(1) = 10

Step-by-step explanation:

Here you can just replace any x with 1.

f(1) = 9(1) - (1)2 + 3(1)

4 0
3 years ago
I NEED HELP!!!!!In the graph shown, suppose that f(x) = 3.5x and h(x) = 1.5x. Choose the statement that COULD be true.
rusak2 [61]

The given functions are

f(x)=3.5^x

h(x)=1.5^x

Now these are exponential curves and the bases for the functions are 3.5 & 1.5

Also the graph of g(x) is between f(x) & h(x)

Hence the value of base called the scale factor must be between 3.5 & 1.5.

4 & 5 are more than 3.5

0.9 is smaller than 1.5

But π = 3.14 lies between 3.5 & 1.5.

Hence the only option which can represent the graph of g(x) is

g(x)=\pi ^x

Option D) is the right answer

5 0
3 years ago
A line contains the points (4,5) and (3, -9). Write the equation of the line using point-slope form.
neonofarm [45]

Answer:

C

Step-by-step explanation:

original formula is: y - y1 = m (x - x1) ordinates= (x1, y1)

insert the a corresponding x and y coordinate:

y + 3 = -2 (x + 9)

Don't forget to change the signs depending on whether their positive or negative:

(3, -9) since 3 is positive but there is a minus in the formula it would be -3

since -9 is negative and in the equation there's a minus sign you would change it to positive. (negative times a negative equals a positive)

3 0
3 years ago
What is the domain
xenn [34]
<h3>Answer: Give the domain and the range of each quadratic function whose graph is described. The vertex is (−1,−2)(−1,−2) and the parabola opens up.</h3>

8 0
2 years ago
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