What effect will 4 have on the graph of y = sin(x)?

Answers

Answer 1

Answer:

The effect of 4 on the graph of y = sin(x) + 4 is that it shifts the graph by 4 units up.

The effect of 4 on the graph of y = sin(4x) is that its period would be 1/4th of 2π, i.e it completes one oscillation every π/2 units.

Step-by-step explanation:

The graph of y = sin(x) is a wave that keeps oscillating between -1 and 1, and repeats its shape every 2π units. The maximum value of the graph is 1 unit with a range of [-1, 1]

The graph of y = sin(x) is referred to as a periodic function because it repeats itself infinitely.

The effect of 4 on the graph of y = sin(x) + 4 is that it shifts the graph by 4 units up.

The effect of 4 on the graph of y = sin(4x) is that its period would be 1/4th of 2π, i.e it completes one oscillation every π/2 units.


Related Questions

The budget for Ohio is 69.1 billion with a population of 11.69 million residents. Round all scientific answers with two decimals with no spaces. Example: 1.23x10^4 or 1.23E4 Write the budget in scientific notation. 1 point Debt: Write the population in scientific notation. 1 point Population: Calculate the Budget Per Capita and write your answer in standard notation. Round to a whole number. 2 points Use the budget per capita in a sentence explaining what this value means. 4 points

Answers

Answer:

Step-by-step explanation:

Hello,

This question requires us to convert numbers from standard form to scientific form. This can easily be done using a calculator or just writing the number down then put a decimal point after the first digit and count the rest which would be raised to the power of that number.

Budget = 69.1 billion

Converting this to scientific form = 6.91×10¹⁰

Population = 11.67 million

Converting this to scientific form = 1.167×10⁷

Budget per capita refers to budget allocated to each individual in the population.

Budget per capita is used to compare economic indices or indicators of various countries with different population sizes.

Budget per capita = budget / total population

Budget per capita = 6.91×10¹⁰ / 1.169×⁷

Budget per capita = 5911.03

What this implies is that for each individual living in the state of Ohio, the amount budgeted for that particular period (mostly in a given year) is 5911.03

a) Expand and simplify (4x + 3)(2x - 5)
(2)
+
b) Factorise x2 + 5x + 6
(2)
Total marks: 4

Answers

Answer:

a. [tex]8x^{2} -14x-15[/tex]

b. [tex](x+3)(x+2)[/tex]

Step-by-step explanation:

A. There are 3 methods (that I know of). The easiest method is the lattice multiplication, while the most commonly used is the FOIL method (First+Outer+Middle+Last)

For F, take the first terms of the 2 and multiply

[tex]4x*2x=8x^{2}[/tex]

For O, take the outer terms and multiply

[tex]4x*-5=-20x[/tex]

For I, take the inner terms and multiply

[tex]3*2x=6x[/tex]

For L, take the last terms and multiply

[tex]3*-5=-15[/tex]

After that, add all of them up

[tex]8x^{2} +(-20x)+6x+(-15)=8x^{2}-14x-15[/tex]

B. Since the equation is in the form x^2+bx+c,

[tex](x+?)(x+?)[/tex]

Now we need to find 2 numbers that will add up to 5 and multiply to 6.

Here are some of the combinations of numbers that multiply to 6

3*2

1*6

-3*-2

-1*-6

3 and 2 add up to 5 so:

[tex](x+3)(x+2)[/tex]

Solve for x.
7x+ 3
3x + 35

x = [?]

Answers

Answer:

Step-by-step explanation:

7x + 3 = 3x + 35

4x + 3 = 35

4x = 32

x = 8

Please help! Correct answer only!
Lester teaches a ceramics class on the weekends. In Sunday's class, the students created 19 clay objects, 12 of which were vases. After each class, Lester bakes the clay objects in a hot kiln to harden them. Students pick up their finished pieces later in the week.
If Lester randomly chose 16 clay objects to bake in the kiln Sunday night, what is the probability that exactly 11 of the chosen clay objects are vases?

Write your answer as a decimal rounded to four decimal places.

Answers

Answer:

The probability that exactly 11 of the chosen clay objects are vases

P(X = 11 ) = 0.16472

Step-by-step explanation:

Step(i):-

Given students created 19 clay objects, 12 of which were vases

probability of successes

                            [tex]p = \frac{x}{n} = \frac{12}{19} = 0.6315[/tex]

q  = 1 - p = 1 - 0.6315 = 0.3685

Step(ii):-

Given  n = 16

Let 'X' be the random variable in binomial distribution

[tex]P(X = r) = n _{C_{r} } p^{r} q^{n-r}[/tex]

The probability that exactly 11 of the chosen clay objects are vases

[tex]P(X = 11) = 16 _{C_{11} } (0.6315)^{11} (0.3585)^{16-11}[/tex]

we will use formula

[tex]n_{C_{r} } = \frac{n!}{(n-r)!r!}[/tex]

[tex]n_{C_{r} } =n_{C_{n-r} }[/tex]

[tex]16_{C_{11} } =16_{C_{16-11} }= 16_{C_{5} } = \frac{16 X 15 X 14 X 13 X 12}{5 X 4 X 3 X 2 X 1} = 4368[/tex]

[tex]P(X = 11) = 4368 (0.006369)(0.005921)[/tex]

P(X = 11 ) = 0.16472

Conclusion:-

The probability that exactly 11 of the chosen clay objects are vases

P(X = 11 ) = 0.16472

no solution for 6x-3x+4-2x

Answers

Answer:

4+x

Step-by-step explanation:

you combine your like terms so you take 6x-3x and you end up with 3x than you take that 3x and subtract the 2x from it so you are left with just x so that would be 4+x

how many speak spanish only?
how many does not speak any if the languages?

Answers

Answer:

52 people

Step-by-step explanation:

Alex, Stephen and Bridget share some sweets in the ratio 4:1:1. Alex gets 36 sweets. How many sweets are there altogether?

Answers

Answer:

There are 54 total sweets  

Step-by-step explanation:

Alex: Stephen : Bridget : total

4:          1          :      1       : 4+1+1 = 6

Alex gets 36

36/4 = 9

Multiply each number by 9

Alex: Stephen : Bridget : total

4*9:          1*9   :      1*9    :    6*9

36:               9 :         9     :   54

There are 54 total sweets  

There r 54 sweets in total

PQ=RQ and PS=RS
What does b=?

Answers

[tex]answer \\ b = 15 \\ please \: see \: the \: attached \: picture \: for \: full \: solution \\ hope \: it \: helps[/tex]

The measure of angle b is 15 degrees and this can be determined by using the properties of the isosceles triangle.

Given :

The length of the segment PQ is equal to the length of the segment RQ.The length of the segment PS is equal to the length of the segment RS.

The following steps can be used in order to determine the measure of angle b:

Step 1 - According to the given data, it can be concluded that triangle PQR and triangle PSR are isosceles triangles.

Step 2 - Apply the sum of interior angle property on triangle PQR.

[tex]\angle Q + \angle P + \angle R = 180[/tex]

[tex]\angle Q + 2\angle R = 180[/tex]

[tex]2\angle R = 180-60[/tex]

[tex]\angle R = 60^\circ[/tex]

Step 3 - Now, apply the sum of interior angle property on triangle PSR.

[tex]\angle P + \angle S + \angle R = 180[/tex]

[tex]\angle S + 2\angle R = 180[/tex]

[tex]2\angle R = 180-90[/tex]

[tex]\angle R = 45^\circ[/tex]

Step 4 - Now, the measure of angle b is calculated as:

[tex]\angle b = 60-45[/tex]

[tex]\angle b = 15^\circ[/tex]

The measure of angle b is 15 degrees.

For more information, refer to the link given below:

https://brainly.com/question/7915845

5 % of 401.16 m Give your answer rounded to 2 DP.

Answers

Answer: 20.058

Step-by-step explanation:

401.16 x 0 05

= 20 058

what is the answer to 18−(2x+1) = ???

Answers

Answer & Step-by-step explanation:

18 - (2x + 1)

Distribute the negative sign (-) to 2x + 1.

18 - 2x - 1

Put -2x in the beginning of the expression and combine like terms.

-2x + 17

So, the answer to 18 - (2x + 1) is -2x + 17.

to determine the percentage of students interested in volunteering for a holiday food drive, franklin high school conducts a phone survey of all currently enrolled seniors. this is an example of _____.

A.) Collecting data

B.) Describing data

C.) Making an inference

Answers

Answer: A Collecting data

Step-by-step explanation:

just did the quiz

Please answer correctly !!!!!! Will mark brainliest !!!!!!!!!

Answers

Answer:

-2 = not in domain

0= in domain

3= in domain

What’s the 73rd term of the sequence 18,30,42

Answers

Answer:

Let's find the explicit rule for this arithmetic sequence. We have:

aₙ = a₁ + (n - 1) * d

   = 18 + 12 * (n - 1)

   = 12n + 6.

The 73rd term is 12 (73) + 6 = 882.

Which operation means "split evenly"?
addition
subtraction
multiplication
division

Answers

Answer:

Division

Step-by-step explanation:

Answer:

division

Step-by-step explanation:

when you divide you split into even groups

What’s the square root of 500

Answers

Answer:

22.360679775

Step-by-step explanation:

i used a calulator on the web

Answer:

±10 sqrt(5)

Step-by-step explanation:

sqrt(500)

We know that sqrt(ab) = sqrt(a) sqrt(b)

sqrt(100*5)

sqrt(100) sqrt(5)

±10 * sqrt(5)

Please help ASAP! Correct answer only! This assignment is due today.
A student has to choose an elective class for the last semester of high school. His counselor suggested 8 electives, 5 of which were dance classes.

If the student randomly chose to read about 4 of the electives, what is the probability that all of them are dance classes?

Write your answer as a decimal rounded to four decimal places.

Answers

Answer:

Probability ≈ 0.0714

Step-by-step explanation:

Consider permutation and combination;

[tex]Total Combinations - 8C4,\\8C4 = 8! / 4! * ( 8 - 4 )!,\\8 * 7 * 6 * 5 / 4!,\\\\Total Combinations = 70,\\\\Combinations of Dance Classes - 5C4,\\5C4 = 5! / 4! * ( 5 - 4 )!,\\5 * 4 * 3 * 2 * 1 / 4 * 3 * 2 * 1,\\\\Dance Classes = 5,\\\\Probability - 5 / 70 = 0.0714,\\Conclusion; Probability = ( About ) 0.0714[/tex]

A white tail deer can sprint at speeds up to 30 mph American bison can run at speeds up to 3520 ft./min. which animal is faster and by how many miles per hour

Answers

Answer:

Bison, by 10 mph

Step-by-step explanation:

Convert ft/min to mi/hr.

3520 ft/min × (1 mi / 5280 ft) × (60 min / hr) = 40 mi/hr

The bison is faster than the deer by 10 mph.

Fatima has 72 oranges. Four oranges are needed to make a glass of freshly squeezed orange juice. How many glasses of orange juice can she make?

Answers

Answer:

Step-by-step explanation:

18

Which of the following is a rational number but NOT an integer?

a. √2
b. -2
c. 2
d. 1/2

Answers

d. is a rational number.

Because it shows halfs and and halfs is a ratio.

And it shows this symbol (/)

Answer:

The answer is D.

Step-by-step explanation:

Rational number is a number that can be written in the form of fraction, a/b .

Integer is a positive or negative number.

For what values (cases) of the variables the expression does not exist: b/a+b

Answers

Answer:

The expression b/(a +b) does not exist when a = -b or b = -a

Step-by-step explanation:

The expression b/(a + b) does not exist if the denominator a + b = 0.

So, a = - b or b = -a.

So, the expression b/(a + b) does not exist when a = -b or b = -a.

When a = -b values, the denominator a + b = -b + b = 0. This will make the expression b/(a + b) = b/0 = ∞ which undefined or does not exist.

When b = -a values, the denominator a + b = a + (-a) = a - a = 0. This will make the expression b/(a + b) = -a/0 = -∞ which undefined or does not exist.

So the expression b/(a +b) does not exist when a = -b or b = -a

All trapezoids are parallelograms.

A. True
B. False

Answers

Answer:

True

parallelogram is a quadrilateral with two pairs of parallel sides. A trapezoid has one pair of parallel sides .

No, All trapezoids are not parallelograms.

We know that,

Trapezoid has only one pair of parallel sides while in a parallelogram there are two pairs of parallel sides.

Having one set of opposing sides that are parallel defines a trapezoid as a quadrilateral. It can have congruent sides (isosceles), right angles (a right trapezoid), although none of those properties is necessary.

Hence, By definition of trapezoids,

All trapezoids are not parallelograms because Trapezoid has only one pair of parallel sides while in a parallelogram there are two pairs of parallel sides.

Learn more about Trapezoid visit:

https://brainly.com/question/1410008

#SPJ6

Find the area of the figure. If needed, round to the nearest tenth.

Isosceles trapezoid
An isosceles trapezoid with bottom base length of 14 feet, top base of 7 feet, and height of 6 feet.
a.
63 sq. ft
b.
27 sq. ft
c.
49 sq. ft
d.
126 sq. ft


Answers

Answer:

a. 63 ft²

Step-by-step explanation:

A= 1/2(b1+b2)h

b1= 14 ftb2= 7 fth= 6 ftA= 1/2(14+7)*6= 63 ft²

Answer:

[tex]63 {ft}^{2} [/tex]

Answer A is correct

Step-by-step explanation:

[tex]area = \frac{1}{2} (a + b)h \\ = \frac{1}{2} \times (7 + 14) \times 6 \\ = \frac{1}{2} \times 21 \times 6 \\ = \frac{126}{2} \\ = 63 {ft}^{2} [/tex]

hope this helps

The orange and blue lines represent different linear functions. Write the color of the line that describes the scenario.


When Janelle woke up, it was –3 degrees Fahrenheit outside. As the morning progressed, the temperature rose 2 degrees every hour.

Answers

Answer:

Blue

Step-by-step explanation:

I just got this question correct

Answer:

Blue

Step-by-step explanation:

Urgent please help. Amanda surveyed 20 juniors and seniors at delamar high school to find the number of hours per week they spend working at part-time jobs. Her results are shown below.
Look at picture

Answers

Answer:

The correct statement is (C).

Step-by-step explanation:

The data for the number of hours per week they spend working at part-time jobs by 20 juniors and seniors at Delmar high school is:

Juniors: 20, 10, 20, 10, 15, 0, 0, 10, 20, 15

Seniors: 20, 20, 10, 10, 0, 0, 0, 10, 0, 10

Compute the mean of both the data:

[tex]\mu_{J}=\frac{1}{n}\sum\limits^{n}_{i=1}{x_{iJ}}[/tex]

     [tex]=\frac{1}{10}\times [20+10+20+10+15+0+0+10+20+15]\\\\=\frac{120}{10}\\\\=12[/tex]

[tex]\mu_{S}=\frac{1}{n}\sum\limits^{n}_{i=1}{x_{iS}}[/tex]

     [tex]=\frac{1}{10}\times [20+ 20+10+10+0+0+0+10+0+10]\\\\=\frac{80}{10}\\\\=8[/tex]

Compute the range of both the data:

[tex]Range_{J}=Max._{J}-Min._{J}[/tex]

            [tex]=20-0\\=20[/tex]

[tex]Range_{S}=Max._{S}-Min._{S}[/tex]

            [tex]=20-0\\=20[/tex]

It can be seen that the range of both the data is same, i.e. 20.

Thus, the correct statement is (C).

Factorise polynomials 15^2p-7p

Answers

Answer:

p ( 15p - 7)

Step-by-step explanation:

15 p^2 - 7p

The only common term is p so factor out p

p ( 15p - 7)

____________________________

15p^2-7p

take the common,

Ans: p(15p-7)

hope it helps

Good luck on your assignment

__________________________

£2200 is deposited in a bank paying 0.5% simple interest per annum. How much interest will have been paid after 18 years?

Answers

Answer:

The answer would be £198

principal (p) = 2200

Rate (R) = 0.5%

Time (T) = 18

Interest(I) = ?

Now,

or, Interest. = P×T×R/100

or, Interest = 2200×18×0.5/100

or, Interest = 19800/100

Hence, Interest = 198

Solve the inequality 5(2x + 1) < 10.
A. x < 1/2
B. x > 1/2
C. x < 3/2
D. x > 3/2

Answers

Answer:

A is the answer

Step-by-step explanation:

5(2x+1)<10

10x+5<10

     -5  -5

____________

     10x<5

   ——   —-

    10      10

———————-

    x < 1/2

Answer:

a.x<1/2

Step-by-step explanation:

5(2x+1)<10

2x+1< 5/10

2x+1<2

2x<2−1

2x<1

x< 1/2

mark brianliest if my answer suit your question

line m and p are perpendicular. if the slope of line m is -3, what is the slope of line p

Answers

Perpendicular slopes multiply to -1, so are negative reciprocals.

-1 / -3 = 1/3

Answer: B.  1/3

Click on the bubble of the correct
answer.
Chris earned $855 for a temporary
job. She worked 36 hours the first
week and 40 hours the second
week. How much did Chris earn per
hour?
Select one:

Answers

Answer:

$11.25 / hr

Step-by-step explanation:

36x+40x=855

76x=855

x=11.25

6. What is the slope of a line perpendicular to the line whose equation is y = 2x -5?*

1) -2
2) 2
3) 1/2
4) -1/2

Answers

Answer: -1/2

You get y = 2x - 5, so the slope is 2. Perpendicular lines have opposite-reciprocal slopes, so the slope of the line we want to find is -1/2.

Other Questions
what is the value of x? Function g can be thought of as a translated (shifted) version of f(x)=x^2 Write the equation for g(x) g(x)=______ If the measure of arc AB is 50 degrees what is the measure of its inscribed angle ACB? Read the excerpt from Mark Twain's "The 1,000,000 Bank-Note".Well, I was perfectly honest and square with her; told her I hadn't a cent in the world but just the million-pound note she'd heard so much talk about, and it didn't belong to me, and that started her curiosity; and then I talked low, and told her the whole history right from the start, and it nearly killed her laughing. What in the nation she could find to laugh about I couldn't see, but there it was; every half-minute some new detail would fetch her, and I would have to stop as much as a minute and a half to give her a chance to settle down again. Why, she laughed herself lame--she did, indeed; I never saw anything like it. I mean I never saw a painful story--a story of a person's troubles and worries and fears--produce just that kind of effect before.Which rhetorical device is demonstrated in the excerpt? Which word describes a triangle with three angles, if each angle measures less than 90? Suggest advantages and disadvantages of using letters for communication. Sloan Corporation is considering new equipment. The equipment can be purchased from an overseas supplier for $3,831. The freight and installation costs for the equipment are $554. If purchased, annual repairs and maintenance are estimated to be $415 per year over the four-year useful life of the equipment. Alternatively, Sloan can lease the equipment from a domestic supplier for $1,745 per year for four years, with no additional costs. Required: a. Prepare a differential analysis dated December 3 to determine whether Sloan should lease (Alternative 1) or purchase (Alternative 2) the equipment. Refer to the lists of Labels and Amount Descriptions for the exact wording of the answer choices for text entries. For those boxes in which you must enter subtracted or negative numbers use a minus sign. If there is no amount or an amount is zero, enter "0". A colon () will automatically appear if required. (Hint: This is a "lease or buy" decision, which must be analyzed from the perspective of the equipment user, as opposed to the equipment owner.) b. Determine whether the Sloan should lease (Alternative 1) or purchase (Alternative 2) the equipment. Simplify the radical of that Identify whether the relationship between a and b in the image below is complementary, linear pair/supplementary, or vertical. A piece of string 1 cm long is longer than a piece of string 10 mm longO TrueFalse The mass of an object is 50 kg. If its weight is 600N on a certain planet. Calculate thegravitational field strength of the planet., A student decreases the temperature of a 417 cm balloon from 278 K to 231 K. Assuming constant pressure, what should the new volume of the balloon be? 376 cm 417 cm 462 cm 924 cm Catalysts are substances that increase the rate of reaction but can be recovered unchanged at the end of the reaction. Catalysts can be classified as either homogeneous (same state as reactants) or heterogeneous (different state than reactants).Platinum is used to catalyze the hydrogenation of ethylene: H2(g)+CH2CH2(g)Pt(s)CH3CH3(g) Chlorofluorocarbons (CFCs) catalyze the conversion of ozone (O3) to oxygen gas (O2): 2O3(g)CFC(g)3O2(g) Magnesium catalyzes the disproportionation of hydrogen peroxide to produce water and oxygen: 2H2O2(aq)Mg(s)2H2O(l)+O2(g)What type of catalysts are platinum, CFCs, and magnesium under these conditions? 1. Describe two advantaged and disadvantages carbon fibre reinforced polymer has over materials such as GRP and Titanium.2. Describe a disadvantage of CFRP compared to GRP Rhetoric is defined as? A. rational ideas used to support a claim.B. written or spoken words used to make a point.C. patterns of stressed and unstressed sounds.D. patterns of repeated words and phrases. paragraphs that reflect two examples of user-generated content on the Internet t which of the following is a solution of y > |x| -5?A.(-4,1)B.(-1,-4)C.(4,-1) -21 +3 = -9r in the form of -2(x-p)2+q= i need help, i would appreciate it a lot !! [tex] {x}^{2} - 4x = 21[/tex]what are the x intercepts?