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1 year ago

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Mathematics

1 answer:

Sergeu [11.5K]1 year ago

5 0

Using translation concepts, it is found that the transformations to create function d are given as follows:

Horizontal shift right 1 unit.

Vertical shift up 5 units.

Frequency multiplied by 2.

<h3>What is a translation?</h3>

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.

In this problem, the parent cosine function is given by:

f(x) = cos(x).

The translated function is given by:

d(x) = cos(2x - 1) + 5.

Which means that:

1 was subtracted in the domain, hence the was a horizontal shift right 1 unit.

5 was added in the range, hence there was a vertical shift up 5 units.

There was a multiplication by 2 in the domain, hence the frequency is multiplied by 2.

More can be learned about translation concepts at brainly.com/question/4521517

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The sum of two complex numbers, where the real numbers do not equal zero, results in a sum of 34i. Which statement must be true

nekit [7.7K]

Answer:

It's 4 ;)

Step-by-step explanation:

Real numbers that are opposite would be a way that they would cancel out, leaving the imaginary number components.

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3 years ago

The human body has a normal temperature of 98.6°F. Doctors will get worried if a sick patient has a temperature that varies from

makvit [3.9K]

Answer:

$|T- 98.6| \geq 3$

And in order to solve this we have two possibilities:

Solution 1

$T -98.6 \leq -3$

And solving for T we got:

$T \leq 98.6- 3$

$T\leq 95.6$

Solution 2

And the other options would be:

$T -98.6 \geq 3$

$T \geq 101.6$

Step-by-step explanation:

For this case we can define the variable os interest T as the real temperature and we know that if we are 3 F more than the value of 98.6 we will be unhealthy so we can set up the following equation:

$|T- 98.6| \geq 3$

And in order to solve this we have two possibilities:

Solution 1

$T -98.6 \leq -3$

And solving for T we got:

$T \leq 98.6- 3$

$T\leq 95.6$

Solution 2

And the other options would be:

$T -98.6 \geq 3$

$T \geq 101.6$

6 0

3 years ago

NEED HELP ASAP!!!!!!!!!!!

Arte-miy333 [17]

Answer:

Step-by-step explanation:

Let the no of cars be x and no of buses be y.

x + y = 60 -> y = 60 - x

6x + 30y = 600

with the available equations let us calculate the values of x and y.

6x + 30 * (60-x) = 600

6x + 1800 - 30x = 600

24x = 1200

x cars = 50

y buses = 10

maximum profit = 50 * 2.5 + 10 * 7.5 = $200

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3 years ago

Which of the relations given by the following sets of ordered pairs is a function?

KonstantinChe [14]

9514 1404 393

Answer:

(a) {(5, 2), (-4, 2), (3, 6), (0, 4), (-1, 2)}

Step-by-step explanation:

The only relation with no repeated x-values is the first one. The first relation is a function.

6 0

3 years ago

Trials in an experiment with a polygraph include 97 results that include 23 cases of wrong results and 74 cases of correct resul

o-na [289]

Answer:

H0:p= 0.80 H1: p< 0.80 one tailed test

Step-by-step explanation:

We state the null and alternative hypotheses as that the results are 80 % against the claim that the results are less than 80%.

H0:p= 0.80 H1: p< 0.80 one tailed test

p2= 0.8 , p1= 74/97= 0.763

q1= 1-0.763= 0.237 q2= 0.2

The level of significance is 0.05 .

The Z∝= ±1.645 for ∝= 0.05

The test statistic used here is

Z= p1-p2/ √pq/n

Putting the values:

Z= 0.763 -0.8 / √ 0.8*0.2/97

z= -0.037/ 0.0406

z= -0.9113

The Z∝ = ±1.645 for ∝= 0.05 for one tailed test.

As the calculated value does not fall in the critical region we fail to reject the null hypothesis. There is not sufficient evidence to support the claim that such polygraph results are correct less than 80% of the time.

Using the normal probability table.

P (Z < -0.9113)= 1- P(z= 0.9311) = 1- 0.8238= 0.1762

If P- value is smaller than the significance level reject H0.

0.1762> 0.005 Fail to reject H0.

8 0

3 years ago