(1) True or False? Explain your answer. The signs of the cosecant function will be the same as the sine function in each of the four quadrants.

Answers

Answer 1
Answer:

Answer:

True

Step-by-step explanation:

A number and its reciprocal have the same sign.

The cosecant is the reciprocal of the sine.

Therefore, the cosecant has the same sign as the sine.

Answer 2
Answer:

Final answer:

The signs of the cosecant function will change in each quadrant, making the statement false.

Explanation:

The statement is false. The cosecant function, csc(x), is defined as the reciprocal of the sine function, so csc(x) = 1/sin(x). Since the sine function changes sign between the different quadrants, the cosecant function will also change sign in each quadrant. In the 1st and 3rd quadrants, both the sine and cosecant functions have positive values. In the 2nd and 4th quadrants, both functions have negative values.

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16+10/5-3*2=12 true or false.

-5+i/2i how do I break this down?​

Answers

Answer:

i2 = -1

Step-by-step explanation:

5i ⋅i⋅(−2i)= −

10 ⋅ i2 ⋅ i= − 10 ⋅ (−1) ⋅ i = 10i

You read that a study is planned for which a test of hypothesis will be done at significance level α = 0.10. Statisticians have calculated that for a certain effect size, the power is 0.7. What are the probabilities of Type I and Type II errors for this test?

Answers

Answer:

The probabilities of Type I is 0.10.

The probability of type II error is 0.3

Step-by-step explanation:

Consider the provided information.

Type I error: If we reject the null hypothesis when null hypothesis is true then it is called type I error.

The type I error is denoted by α.

Type II error: If we fail to reject the null hypothesis when null hypothesis is false then it is called type II error.

The type II error is denoted by β.

It is given that significance level α = 0.10.

Thus, the probabilities of Type I is 0.10.

The power of the test is: Power=1-\beta

It is given that power is 0.7.

Therefore,

0.7=1-\beta

\beta=1-0.7=0.3

Hence, the probability of type II error is 0.3

14 over 15 rounded to the nearest tenth

Answers

Answer:

0.9

Step-by-step explanation:

14/15 = 0.933333333  IF:

1. You first change it into a decimal by dividing the numerator by the denominator.

       14 ÷ 15

2.You will get a recurring decimal.

     0.933333333

3. The first digit after the decimal is in the position of the 'tenths'

      0.9

4. You should use only two digits after the decimal to calculate

      0.93

5. Since the number 3 is less than five, it will change into a zero and get eliminated.

            ∴ The answer will be = 0.9

If f(x)=2x-3 find the following
f(7)=
f(-2)=
f(-4)=

Answers

The value of f(7) ,f(-2) and f(-4) will be 11 , -17 and -31 respectively.

What is a function?

A certain kind of relationship called a function binds inputs to essentially one output.

A function can be regarded as a computer, which is helpful.

The machine will only accept specified inputs, described as the function's domain, and will potentially produce one output for each input.

In other words, the function is a relationship between variables, and the nature of the relationship defines the function for example y = sinx and y = x +6 like that.

Given,

f(x)=2x-3

f(7) so put x = 7

f(7) = 2(7) - 3

f(7) = 11

Now,

f(-2) so put x = -2

f(-2) = -2×7-3

f(-2) = -17

Now,

f(-4) so put x = -4

f(-4)= -4×7-3

f(-4) = -31

Hence,The value of f(7) ,f(-2) and f(-4) will be 11 , -17 and -31 respectively.

For more about the function,

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Step-by-step explanation:

f(x)=2x-3

now,

f(7)=2× 7-3

=14-3

=11

f(-2)='-2×7-3

= -14-3

b= -17

f(-4)= -4×7-3

= -28-3

= -31

√(2)   ^( √(7) )use a calculator to find an approximation for each power. give the maximum number of decimal places that your calculator displaysround this value to ,7 decimal places,.

Answers

We are given the following expression

\sqrt[]{2}^{\sqrt[]{7}}

Here the base is √2 and its power (exponent) is √7

The value of this expression can easily be calculated using any scientific calculator.

The maximum number of decimal places depends upon the type of calculator you use.

\sqrt[]{2}^{\sqrt[]{7}}=2.50164253682

Let us round this value to 7 decimal places.

\sqrt[]{2}^{\sqrt[]{7}}=2.5016425

Which expression is equal to “7 times the sum of a number and 4"?

Answers

Answer: 7 (x+4)

Step-by-step explanation: Since the expression asks for 7 times the sum of a number and 4, you would put x + 4 in parentheses since multiplying 7 comes afterwards.