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chubhunter [2.5K]
3 years ago
5

A dvd that originaly cost 30 dollars is on sale for 10 percent off. find the amount of the discount.

Mathematics
1 answer:
Dennis_Churaev [7]3 years ago
8 0
The discounted price would be $27
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Use a graphing calculator to graph f(x) = x+cos(kx). Use calculus to determine which values of k lead to a function with no loca
nataly862011 [7]

Answer:

Below, you can see the graph of the function:

f(x) = x + cos(k*x)

for different values of k, as follows:

red: k = 1

green: k = 2

orange: k = 0.

Now let's find the values of k such that our function does not have local maxima nor local minima.

First, remember that for a given function f(x), the local maxima or minima points are related to the zeros of the first derivate of f(x).

This means that if:

f'(x0) = 0.

Then x0 is a maxima, minima or an inflection point.

Then if a function is such that the f'(x) ≠ 0 , ∀x, then this function will not have local maxima nor minima.

Now we have:

f(x) = x + cos(k*x)

then:

f'(x) = 1  - k*sin(k*x)

This function will be zero when:

1 = k*sin(k*x)

1/k = sin(k*x)

now, remember that -1 ≤ sin(θ) ≤ 1

then if 1/k is smaller than -1, or larger than 1, we will not have zeros.

And this will happen if -1 < k < 1.

7 0
2 years ago
Are used car was purchased for 7,800 one year later it was worth 6,400 what is the percentage depreciation
sashaice [31]

Answer:

Step-by-step explanatio 16%

7 0
3 years ago
I don’t really get this question can someone help me out
Inessa [10]

angles EFH and GFH are congruents

for the second equivalence criterion  two triangles are equivalents if they have  respectively  2 angles and 1 side congruents

the two triangles have congruents the angle right angle (HGF and HEF) and the 55 degrees angles (EFH and GFH); then they have in common the HF side.

so the triangles are congruent and so all the sides are respectively congruent,for example EH with HG:

EH=HG

s+36=7s

s+36-7s=0

s-7s=-36

-6s=-36

6s=36

s=6

<em>sorry for my english</em>

5 0
3 years ago
Pls answer with explanation!
patriot [66]

Answer:

3,750 cars.

Step-by-step explanation:

We are given that the equation:

y=9000-2.4x

Models the relationsip between <em>y</em>, the number of unfilled seats in the stadium, and <em>x</em>, the number of cars in the parking lot.

We want to determine the number of cars in the parking lot when there are no unfilled seats in the stadium.

When there are no unfilled seats in the stadium, <em>y</em> = 0. Thus:

0=9000-2.4x

Solve for <em>x</em>. Subtract 9000 from both sides:

-2.4x=-9000

Divide both sides by -2.4:

x=3750

So, there will be 3,750 cars in the parking lot when there are no unfilled seats in the stadium.

4 0
3 years ago
Can someone help me please
Neporo4naja [7]

If Deliah does jumping jacks at a constant rate, this means that she does them at the same pace or you could say that she does the same amount of jumping jacks in a specified amount of time, ie. if you counted how many jumping jacks she did in one minute, it would be same as how many she would complete in the next minute, and the next, and so on.

Now given that she does 184 jumping jacks in four minutes, and she has kept a constant pace throughout, to find out how many she does each minute, we simply need to divide the number of jumping jacks she does in 4 minutes by 4. Thus:

Jumping jacks in 1 minute = Jumping jacks in 4 minutes / 4

= 184 / 4

= 46

Thus, Deliah can do 46 jumping jacks per minute.

5 0
3 years ago
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