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vlada-n [284]
3 years ago
11

Please help quickly

Mathematics
1 answer:
lions [1.4K]3 years ago
4 0

Notice that 6 = 4+2,

11=6+5

19 = 11+8

30 = 19+11

Following the same pattern,

(next number) = 30 + 14 = 44

44 is the next number in the sequence 4, 6, 11, 19, 30, ...

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Given that tan0= -1, what is the value of sec0, for 3pi/2<0<2pi?
Maru [420]

Answer: Choice B. sqrt(2)

Draw out a right triangle in quadrant IV as you see in the attached image below. The horizontal and vertical legs are both 1 unit long. To ensure that the signs are properly set up, I am making the vertical leg BC have a label "-1" to mean this is below the x axis. Note how

tan(theta) = opposite/adjacent = BC/AB = -1/1 = -1

Use the pythagorean theorem to find that the hypotenuse AC is sqrt(2) units long

a^2 + b^2 = c^2

(1)^2 + (1)^2 = c^2

2 = c^2

c^2 = 2

c = sqrt(2)

The secant of theta is the ratio of the hypotenuse over the adjacent side, so we end up with

sec(theta) = hypotenuse/adjacent

sec(theta) = AC/AB

sec(theta) = sqrt(2)/1

sec(theta) = sqrt(2) which is why choice B is the answer

7 0
3 years ago
Read 2 more answers
A={1, 2, 3, 4, 5} e B = {2, 3, 7}, determine o conjunto A - B, ou seja, os elementos que pertencem somente a A e não a B .
Lostsunrise [7]

Responder:

A - B = {1, 4, 5}

Explicação passo a passo:

Conjunto A - Conjunto B; Isso significa que queremos um conjunto que contém apenas elementos que estão no conjunto A, portanto, os elementos do conjunto A que também estão presentes no conjunto B estão isentos.

A = {1, 2, 3, 4, 5}

B = {2, 3, 7}

A - B = {1, 4, 5}

Portanto, apenas] 1, 4, 5} são elementos do conjunto A e não do conjunto B

7 0
2 years ago
: Use The TI Calculator To Answer The Question. Find The Probability That A Z-score Will Be Between 0.7 And 1.4. A) 0.242 O B) 0
ZanzabumX [31]

Answer:

P(0.7

And we can find this probability with the following difference:

P(0.7

We can use the following commands on the ti 84

2nd>VARS>DISTR

And then we look for normalcdf and we input this:

normalcdf(0.7,1.4,0,1)

The other possible code would be:

normalcdf(-1000,1,4,0,1)-normalcdf(-1000,0.7,0,1)

And we got:

P(0.7

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".  

Solution to the problem

For this case we want to find this probability:

P(0.7

And we can find this probability with the following difference:

P(0.7

We can use the following commands on the ti 84

2nd>VARS>DISTR

And then we look for normalcdf and we input this:

normalcdf(0.7,1.4,0,1)

The other possible code would be:

normalcdf(-1000,1,4,0,1)-normalcdf(-1000,0.7,0,1)

And we got:

P(0.7

3 0
3 years ago
Read 2 more answers
Ises: 1. Directions: Express in factor form a
frosja888 [35]

Answer:

10 x 10 x 10 x 10 x 10 = 100000

6 x 6 x 6 = 216

4 x 4 x 4 x 4 = 256

2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 = 1024 / or if the number was 21 x 0  then the answer = 1

Step-by-step explanation:

I already wrote the explanation in the answer but I'm guessing the number you put beside the first number is the exponent. So as you can see 73 = 7 mulitiplying by itself 3 times. The number 3 is an exponent because it tells you how many times you're multiplying the number by itself. If you continue doing that then you will get the same answer as I did. Good luck!

6 0
2 years ago
PLEASE HELP ME IM STUCK ON THIS QUESTION.
Vesna [10]

Answer:

You got it right. Triangle DAC

Step-by-step explanation:

Line segment DA is a perpendicular bisector(it cuts line segment CE perfectly in half making line segment AE an CA congruent. Since the triangle share line segment DA that makes them congruent by the SAS postulate

6 0
3 years ago
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