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Anni [7]
2 years ago
11

What are the period, phase shift, and vertical shift of y = csc[3(x + 4)] + 6?

SAT
1 answer:
Zinaida [17]2 years ago
5 0

The period, phase shift, and vertical shift are; Period is 2π/3, Shift is 4 units to the left and vertical shift is 6 units up.

<h3>How to find waveform properties?</h3>

We are given the waveform equation as;

csc[3(x + 4)] + 6.

Expanding this gives us;

csc[3x + 12] + 6.

Period = 2π/b

From the given waveform, b = 3. Thus;

Period = 2π/3

Phase shift = -c/b

where c from the given waveform is 12. Thus;

Phase shift = -12/3 = -4

Thus, phase shift is 4 units to the left while vertical shift is 6 units upawrds.

Read more about waveform at; brainly.com/question/25699025

#SPJ1

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Zepler [3.9K]

Answer:$877

Explanation:

3 0
2 years ago
Which equation is the perpendicular bisector of the line segment with endpoints (-2, 4) and (6, 8)?
serious [3.7K]

Answer:

y=4

Explanation:

7 0
3 years ago
In a recent survey, 1358 arizona state university students were asked about their plans after graduation. The following results
lisov135 [29]

The answers to the given questions on the survey of students by the use of a Venn Diagram are;

A) Venn diagram attached

B) 57 Students

C) 811 Students

D) 785 Students

E) 67 Students

<h3>Understanding Venn Diagrams</h3>

We are given;

  • Total number of Students = 1358
  • Number of Students that plan to get a new job = 1194
  • Number of Students that plan to attend graduate school = 306
  • Number of Students that plan to buy a new car = 547
  • Number of Students that plan to do all three things = 46
  • Number of Students that plan to only attend graduate school = 28
  • Number of Students that plan to get a job and buy a new car, but not attend graduate school = 432
  • Number of Students that plan to get a new job and attend graduate school = 221

A) I have drawn a Venn Diagram to depict this given numbers of students and I have attached it.

B) From the venn diagram, we can see that the number of people that plan to attend graduate school and buy a new car, but not get a new job = 57

C) From the Venn diagram, we can calculate the number of students that do not plan to buy a new car is;

541 + 175 + 28 + 67 = 811

D) From the venn diagram, we can calculate the number of students plan to get a new job or buy a new car as;

541 + 175 + 12 + 57 = 785

E) From the venn diagram, we can see that the number of students that do not plan to get a new job, attend graduate school, nor buy a new car is; 67

The complete part of the question is;

A) Draw a Venn diagram that represents the situation consisting of 2. cardinalities.

B) How many people plan to attend graduate school and buy a new car, but not get a new job?

C) How many students do not plan a buy a new car?

D) How many students plan to get a new job or buy a new car?

E) How many students do not plan to get a new job, attend graduate school, nor buy a new car?

Read more about Venn Diagrams at; brainly.com/question/2099071

6 0
2 years ago
What mass of glucose (C6H12O6) should be dissolved in 12. 0 kg of water to obtain a solution with a freezing point of -5. 8 ∘C?.
bogdanovich [222]

The mass of glucose solute dissolved in the solution is 6.739 Kg.

Recall that;

ΔT = K m i

ΔT = Freezing point depression

K =Freezing point depression constant = 1.86°C/mol

m = molality of the solution

i = Van't Hoff factor = 1 (molecular solution)

We have to find the freezing point depression from;

Freezing point depression = Freezing point of pure solvent - Freezing point of solution

Freezing point of pure water = 0°C

Freezing point of solution = -5. 8 ∘C

Freezing point depression = 0°C - (-5. 8 ∘C) = 5. 8 ∘C

Now;

m = ΔT/K i

m = 5. 8 ∘C/ 1.86°C/mol × 1

m = 3.12 m

But molality = number of moles of solute/mass of solvent in Kg

Molar mass of solute = 180 g/mol

Let the mass of solute be m

3.12 = m/180/12

3.12 = m/180 × 12

m = 3.12 × 180 × 12

m = 6739 g or 6.739 Kg

Learn more: brainly.com/question/6249935

8 0
2 years ago
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Ayurvedic medicine was developed in China.
Rina8888 [55]

Ayurveda, traditional Indian medicine (TIM):

Traditional Chinese medicine (TCM) remains the most ancient yet living tradition. There has been increased global interest in traditional medicine.

7 0
3 years ago
Read 2 more answers
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