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Fantom [35]
3 years ago
7

WILL MARK BRAINLIEST FOR BEST ANSWER

Mathematics
2 answers:
azamat3 years ago
7 0
56cm

Perimeter: 30cm
Width: 7cm

7+7+?+?
30-14=16

?=8

Area= 56cm
marin [14]3 years ago
5 0

Answer:

Hey,

your answer is   56cm^2


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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
What is not a solution of -4 &lt; x
Gnesinka [82]

Answer:

-5

Step-by-step explanation:

because it is less than -4 when it is suppose to be more than-4

8 0
3 years ago
Read 2 more answers
If 1 mile is equal to 1.6 kilometers, convert 50 kilometers to miles.
Free_Kalibri [48]
1 mile = 1.6 km
x = 50 × 1.6
x = 80 miles
4 0
3 years ago
A city of 6,688 has an area of 16 square miles. What is the population density of the city?
Ahat [919]
To find population density, it is population / area.

The population is 6688, divided by the area of 16.

6688/16 = 418

So the population density is 418 people per sq mile.
7 0
3 years ago
If you are working with less than, or greater than. If there is a negative do you switch the sign? For example 9t-4&gt;32
kirill [66]

Answer:

Rule:  If working with an inequality and you either mult. or div. by a negative number, you must reverse the direction of the inequality symbol.

Step-by-step explanation:

Your job here is to simplify 9t-4>32, in which the variable (t) is already positive.  Here you do NOT switch signs or reverse the direction of the inequality symbol.  Adding 4 to both sides, we get 9t > 36, or t > 4.

If, however, you had  -9t-4>32 to work with, the situation would be different because t in this inequality is negative.  Adding 4 to both sides results in:

-9t > 36.  To solve for t, we must divide both sides by -9 AND reverse the direction of the inequality symbol:

t < -4.

Rule:  If working with an inequality and you either mult. or div. by a negative number, you must reverse the direction of the inequality symbol.


8 0
3 years ago
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