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gtnhenbr [62]
3 years ago
9

Which is the definition of perpendicular lines that includes only necessary and sufficient information?

Mathematics
1 answer:
Papessa [141]3 years ago
6 0
Two lines that intersect to create a 90 degree angle
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Suppose that fanf g are continuous functions,
shtirl [24]

The required result based on given continuous functions is: 207. See the explanation for same below.

<h3>What are continuous functions?</h3>


A continuous function in mathematics is one in which a continuous variation (that is, a change without a jump) of the argument causes a continuous variation of the function's value.

<h3>What is the calculation for the above solution?</h3>

Since G and F are continuous functions,

\int_{12}^{28}) \, f(x) dx = 19

\int_{12}^{28}) \, f(x) dx = 35

Therefore,

\int_{12}^{28}) \, [K g(x) - 2 f(x)] dx

= K \int_{12}^{28}) \, g(x) dx -2 \int_{12}^{28}) \, f(x) dx

So, given that K = 7, we have

7 x 35 - 2 x 19
= 245 - 38
= 207

Learn more about continuous functions at;
brainly.com/question/18102431
#SPJ1

7 0
2 years ago
The drama club was selecting which carnival booths to sponsor at the fall carnival from a list of nine. How many different ways
denis-greek [22]

Answer:

Option B

Step-by-step explanation:

Here we have to apply " combination and permutation. " It is given that the drama club had to choose three booths from a selection of 9, considering the possible ways to choose so. This is a perfect example of combination. In nCr, n corresponds to 9, respectively r corresponds to 3.

\mathrm{n\:choose\:r},\\nCr=\frac{n!}{r!\left(n-r\right)!},\\\\\frac{9!}{3!\left(9-3\right)!} =\\\frac{9!}{3!\cdot \:6!} =\\\\\frac{9\cdot \:8\cdot \:7}{3!} =\\\frac{504}{6} =\\\\84\\\\Solution = Option B

Hope that helps!

8 0
3 years ago
This is simple, but I don't have time to do this now, list the composite numbers from 2-50 please!
Kamila [148]
4, 6, 8, 9, 10, 12, 14, 15, 16, 18, 20, 21, 22, 24, 25, 26, 27, 28, 30, 32, 33, 34, 35, 36, 38, 39, 40, 42, 44, 45, 46, 48, 49, 50
6 0
3 years ago
Given h(x)=5x-2, find h(5)
Tomtit [17]

Answer:

h(5)=23

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
alls arrive at a call center at an average rate of 100/min. Depending on the availability of a service representative, calls may
NISA [10]

Answer:

the number of callers on average are in the system at any given time is 440

Step-by-step explanation:

Given that

The calls that arrive in a call center have an average rate of 100 per min

But it we involve the waiting time so the call needed 4.4 minutes

We need to to find no of callers are in the system at any given time

SO,

= 100 per min × 4.4

= 440

hence, the number of callers on average are in the system at any given time is 440

The same would be considered

5 0
3 years ago
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