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yan [13]
3 years ago
14

For which pair A function is the exponential constantly growing at a faster rate than a quadratic over the interval zero less th

an or greater than X less than or equal to five

Mathematics
1 answer:
VashaNatasha [74]3 years ago
4 0

Answer:

Here is the complete question:

For which pair of functions is the exponential consistently growing at a faster rate than the quadratic over the interval 0<=X<=5.

Answer is C (the third option)

Step-by-step explanation:

Basically in exponential growth a quantity may increase over time. When a quantity increases of decreases by equal or same percent over equal period of times this means that the quantity increases or decreases exponentially. I have attached the image of the correct option.

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4 years ago
Solve the triangle<br> a <br> b <br> c<br> d
Mekhanik [1.2K]

Answer:

B

Step-by-step explanation:

Use the Law of Cosines to find the measure of segment c:

c=\sqrt{a^2+b^2-2ab*cos(C)}\\\\c=\sqrt{12^2+13^2-2(12)(13)*cos(134)}\\\\c=\sqrt{313-312cos(134)}\\\\c=\sqrt{313-312(-.6946583705)}\\\\c=\sqrt{313-(-216.7334116)}\\\\c=\sqrt{313+216.7334116}\\\\c=\sqrt{529.7334116}\\

c ≈ 23.01593821 km ≈ 23 km

Since c = 23 km, our only options are choices B and D. Now, let's find the measure of angle A to confirm. To do this we will use the Law of Sines:

\frac{sin(A)}{a} =\frac{sin(C)}{c} \\\\\frac{sin(A)}{12}=\frac{sin(134)}{23.01593821}\\\\sin(A)=12(\frac{sin(134)}{23.01593821})\\\\A=sin^{-1}[12(\frac{sin(134)}{23.01593821})]\\\\

A ≈ 22.02726885° ≈ 22°

Since the measure of c = 23 km and the measure of angle A = 22°, the answer must be choice B.

7 0
3 years ago
Determine whether a triangle with the given vertices is a scalene, isosceles, or equilateral tri Scalene Isosceles Equilateral t
solniwko [45]

Answer:

 (a) isosceles

 (b), (c) scalene

Step-by-step explanation:

The lengths of the sides can be found from the distance formula:

 d = √((x2 -x1)^2 +(y2 -y1)^2)

Here, there are 9 lengths to be computed, so it is useful to let a spreadsheet or graphing calculator do it.

We find triangle (a) has two sides the same length, so it is isosceles.

The other two triangles have three different side lengths, so they are scalene.

_____

<em>Additional comment</em>

It is impossible to specify an equilateral triangle using rational coordinates.

6 0
3 years ago
Help me with this math fact pls
Gnesinka [82]
11 x 11= 121
7 x 2= 14
11 x 5= 55
11 x 6= 66
11 x 3= 33
12 x 6= 72
8 x 8= 64
7 x 6= 42
10 x 12= 120
3 x 6= 18
12 x 8= 96
11 x 8= 88
1 x 5= 5
8 0
3 years ago
Read 2 more answers
The cable company is analyzing data from two satellite television providers to determine whether their users spend more time wat
Phoenix [80]

Answer:

59%

Step-by-step explanation:

The information from Satellite Company Y is:

65 people watch live and 94 people watch recorded.

The total number of people from Y is:

65 + 94 = 159

So the probability that a random person from Y watches recorded shows more often is given by the division of the number of people watching more recorded shows (94) over the total number of people (159):

Probability = 94 / 159 = 0.5912 = 59.12%

Rounding to nearest whole percent, we have 59%

3 0
4 years ago
Read 2 more answers
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