Mathematics High School

8.
A particular sound wave can be graphed using the function y = –3 sin x. Find the period of the function.

period = 2pi
period = –3
period = 3
period = 1/2

Answers

Answer 1
Since the argument of the sine function is x without any scaling factor, the period is 2π, the 1st selection.
Answer 2
The period for a sine function is always 2pi/a where y=sin ax   
If y= 3sinx then a=1 so 2pi/1=2pi 
 2pi =period

Related Questions

Will give brainliest if correct


The value of a stock share in a new technology company has been increasing at a rate of 8.6% quarterly. The initial price of one share was $102.15. An investor plans to sell once the value of one share reaches $233.10.

If t is the number of quarters since the initial price of one share was set, which equation could be used to determine how long it will take the share to reach $233.10, assuming it continues to grow at the same rate?

A. 102.15 = 233.10(0.086)t
B. 102.15 = 233.10(0.914)t
C. 233.10 = 102.15(1.86)t
D. 233.10 = 102.15(1.086)t

Answers

Answer: The correct answer would be choice D, as long as the t was an exponent.

It should be written as 233.10 = 102.15(1.086)^t

The t has to be an exponent because you are multiplying the investment by 1.086 repeatedly each quarter. We used 1.086 because we added on 8.6% (or 0.086) to the investment.
Final answer:

The correct equation to use is D. 233.10 = 102.15(1.086)^t, which represents how the value of the share increases over time assuming consistent growth. The growth factor is represented by (1.086)^t as the share is increasing by 8.6% quarterly.

Explanation:

The correct equation to determine how long it will take for the share to reach $233.10 is D. 233.10 = 102.15(1.086)^t.

This equation represents a classic compound interest formula that describes how an investment grows over time, where 102.15 is the initial share price, 1.086 is the quarterly growth rate (1+8.6%), and t is the number of quarters.

The equation shows that the future value, $233.10, is equal to the initial value, $102.15, multiplied by the growth factor, (1.086)^t, raised to the number of quarters.

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A 12 sided die, numbered 1 to 12 is rolled. Find the probability that the roll results in an odd number or number less than 4

Answers

Answer:

6/12+3/12-2/12=.583

Step-by-step explanation:

6/12 amount of odd numbers

3/12 numbers less than 4

2/12 the amount of numbers that overlap

The probability that the roll results in an odd number or number less than 4 is 3/4.

Given that, a 12 sided die, numbered 1 to 12 is rolled.

What is the probability?

Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event.

We know that, probability of an event = Number of favorable outcomes/Total number of outcomes

Total number of outcomes = 12

Odd numbered sides = {1, 3, 5, 7, 9, 11} = 6

Number less than 4 = {1, 2, 3} = 3

Probability of getting an odd number = 6/12

Probability of getting a number less than 4 = 3/12

So, probability = 6/12 + 3/12

= 9/12

= 3/4

Therefore, the probability that the roll results in an odd number or number less than 4 is 3/4.

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At which angle will the hexagon rotate onto itself?

60°
90°
120°
180°

Answers

There are 6 angles between the vertices so all are equal and the sum is 360. Therefore, each angle measures 360/6=60.
So the hexagon will role onto the angle 60.
Final answer:

The optimum angle at which a projectile should be launched to cover maximum distance is 45°. This angle gives the projectile the greatest range by maximizing the time of flight.

Explanation:

The optimum angle at which a projectile should be launched in order to cover the maximum distance is 45°. This launch angle gives the projectile the greatest range.

To understand why this angle is optimal, we can consider that the motion of a projectile can be divided into two independent components: horizontal and vertical. The range of a projectile is maximized when the time it spends in the air is maximized. At a launch angle of 45°, the horizontal and vertical components of the projectile's velocity are equal. This means that the time of flight is maximized, resulting in the maximum range.

For example, if a projectile is launched at a shallower angle, such as 30°, the vertical component of the velocity is decreased, reducing the time of flight and therefore the range. Similarly, if the projectile is launched at a steeper angle, such as 60°, the horizontal component of the velocity is decreased, again reducing the time of flight and range.

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Find the greatest Greatest Common Factors of the following Monomials:


44b^5  and 36b

Answers

Thanks for rewriting this. It's nice to be able to read the question clearly.

44b^5 = 2 * 2 * 11 * b * b * b * b * b
36b = 2 * 2 * 3 * 3 * b

There are two 2s that each of them have.
There is one b that each of them have.

Greatest common factor = 2 * 2 * b
4b <<<< answer

Help Me plz Im stuck

Which is the counterexample to the following conjecture?

If a number is divisible by 3, it must also be divisible by 9.

A.18


B.54


C.21


D.27

Answers

The answer is C.
21 is divisible by 3 but not by 9.
21 = 3*7 . . . . . divisible by 3, but not by 9

The appropriate selection is C. 21

What is the rule for the transformation above?

A. (x' , y') = (-x - 6 , -y + 1)

B. (x' , y') = (x - 6 , -y + 1)

C. (x' , y') = (x - 6 , y - 1)

D. (x' , y') = (-x + 6 , -y - 1)

Answers

What transformation is the picture or question asking for show me a pic and i can answer for you

Jeanette purchased a concert ticket on a website.The original price of the ticket was $75.She used a coupon code to receive a 20% discount.The website applied a 10% service fee to the discounted price.Jeanettes ticket was less than the original price by what percent?

Answers

STEP 1:
Find discounted price.
Discounted $= original $ - (original $ * % discount)

Discounted $= $75 - ($75 * 20%)
Discounted $= 75 - 15
Discounted $= $60


STEP 2:
Find discounted $ plus service fee.
Price plus fee= discounted $ + (discounted $ * service fee %)

Price plus fee= $60 + ($60 * 10%)
Price plus fee= 60 + 6
Price plus fee= $66


STEP 3:
Find % change.
% change formula= (new # - original #) ÷ original # x 100

% change= (66-75)÷ 75 x 100
% change= -9 ÷ 75 x 100
% change= -0.12 x 100
% change= -12%

***the negative indicates a decrease


ANSWER: Her ticket was less than the original by 12%.

Hope this helps! :)

which is less -12.05 or -12.5

Answers

12.05 is less than 12.50
hello, -12.5 is your answer, hope it helps :) 

Holly wants to save money for an emergency. Holly invests $1500 in an account that pays an interest rate of 6.75%. How many years will it take for the account to reach $7300?

Answers

7300=1500(1+0.0675)t7300=1500(1.0675)tDividing both sides by 1500,7315=1.0675tTaking the logarithm,ln(7315)=tln(1.0675)Making 't' the subject,t=ln(7315)ln(1.0675)

which equals t=24.23


How can you tell when a quadratic equation has no real solutions?

A. when the radicand is negative
B. when b in the quadratic formula is greater than the radicand
C. when the radicand equals zero
D. when the radicand is not a perfect square

I believe the answer is A? is that right?

Answers

The answer is that A. when the radicand is negative. Having a negative value inside a radicand sign will indicate that there are no solutions. Because we do not know the square root of a negative value.  The result of this is that we cannot evaluate the formula any further.

33 POINTS!!

3. A savings account has a 3% interest rate.
(a) Complete the ratio table shown. Show your work. Deposit ($) 100 50 300 Interest ($) 3 12

(b) How much more interest would you have if you deposited $200 than if you deposited $150? Show your work

Answers

Multiply by interest which is 3% convert to decimal by moving percent symbol two places to the left.....   .03

A) 100*.03= $3  

400*.03= $12     12/.03 =400

50*.03=$1.50

300*.03=$9

B) multiply .03*200=$6   and .03*150=$4.50 then subtract 6.00-4.50=$1.50 difference.

 Hope this helps

The answer is in the file attached.

Please comment if you can't see the image :)

2 images are attached: 1 of the working out and 1 of the complete table.

Have a nice day!

(also, I didn't do part b sorry!)

If the circumference of a circle is 12.56 ft, what is the length of the diameter? use 3.14 for Ï.

Answers

πD = C
3.14D = 12.56
D = 12.56/3.14
D =  4

the length of the diameter is 4 ft

Final answer:

To determine the diameter of a circle with a circumference of 12.56 feet using π as 3.14, divide the circumference by π resulting in a diameter of 4 feet.

Explanation:

The student has asked to find the length of the diameter of a circle if the circumference is 12.56 ft using 3.14 for π (Pi). The formula for the circumference C of a circle is C = π * d, where d is the diameter of the circle. To find the diameter, we rearrange the formula to d = C / π. Substituting the given values, we get:

d = 12.56 ft / 3.14

After dividing the circumference by pi, we find that:

d = 4 ft

Therefore, the length of the diameter is 4 feet.

The square of the sum of six and a number

Answers

(6+x)^2 is the answer

What is the value of k

Answers

angle ZYX=180-115=65
in triangle sum of angles =180
so
4k+5+6k+10+65=180
10k+80=180
10k=180+80=260
k=260/10
k=26

When Katie was born her mother invested $5000 in an account for her college savings. The interest rate is 3.5% compounded annually. To represent this, we can use the formula V = 5000(1 + r)t where r represents the interest rate and t represents the time in years. How much will Katie have in her account when she turns 18

Answers

9287.45

Remember to turn the rate into a decimal by moving the decimal place to the left twice. Also remember that t is an exponent. 

-1/6 + 2/3 ( 9 + - 3/4) + - 1/2

Answers

First simplify the section in the parenthesis. 
-1/6 + 2/3(8 1/4) + -1/2 
Then multiply 2/3 by 8 1/4.
-1/6 + 5 1/2 + -1/2 
Add -1/2 to 5 1/2. 
-1/6 + 5 
Add 5 to -1/6. 
4 5/6 is the fully simplified answer. 
Hope this helps!

Graph the quadratic functions y = -2x^2 and y = -2x^2 + 4 on a separate piece of paper. Using those graphs, compare and contrast the shape and position of the graphs.

I know that since both functions are quadratic functions, they will both have a parabola shape.

Answers

The second function has a graph that is identical to that of the first function, except that it is shifted upward by 4 units.

_____
The thrust of this question is to get you to recognize that adding a constant to a function shifts its graph in the amount and direction of the constant value (positive ⇒ upward).

helppppppppppppppppppppppppppppppppppppppppp

Answers

Number of shaded triangles in the first figure = 1
Number of shaded triangles in the second figure = 3
Number of shaded triangles in the third figure = 9

If we observe these values, we can conclude that a Geometric Series is being formed.First number is multiplied by 3 to get the second number and second number is multiplied by 3 to get the third number. So the summation can be expressed using the Geometric Series.

The summation uses the general term to express the sum over the interval. So first we find the general term of geometric series.

First term of the series = 1
Common ratio = 3

So, the general term of the series will be: [tex]1(3)^{n-1} [/tex]

This general term gives the terms of given geometric series for different values of n. For n = 1, we will have the first term which will is 1. Similarly for n=2, we will have the second term which is 3. 

So the summation will start with first term and end on 15th term. Therefore, correct summation for this case is expressed by first option. 

A rug shaped like a rectangle has a width of 3 m. the length of the rug is 2 m greater than its width. what is the perimeter of the rug in meters

Answers

well,
rectangle has 4 sides
2 lengths and 2 breadths
the width is the breadth
so it's 3x2= 6m
the leanght
it's 2m greater than width so it's (3+2)x2= 10m
so the perimeter is the total length of all sides therefore it's 10+6= 16m

it's pretty easy one could just
(3x2)+((3+2)2)= 16m

Pleaseee hellpppppppppp

Answers

To find the value of x, the angles must equal the same number at the end (corresponding angles)

4x = 3x + 10

isolate the x to find the value of x

4x (-3x) = 3x (-3x) + 10

4x - 3x = 10

x = 10

Check:

4(10) = 40
3(10) + 10 = 30 + 10 = 40  (True)

10 is your answer for x

hope this helps

Which of the following circles have their centers in the second quadrant? Check all that apply.

A. (x - 5)2 + (y - 6)2 = 25
B. (x + 1)2 + (y - 7)2 = 16
C. (x - 4)2 + (y + 3)2 = 32
D. (x + 2)2 + (y - 5)2 = 9
PLEASE HELP AND EXPLAIN!!!,

Answers

The given circles are given in standard form:
(x - xc)² + (y - yc)² = r²

The second quadrant is the one that has negative x coordinates and positive y coordinates.

This said, let's see all your options:
A) (x - 5)² + (y - 6)² = 25
xc = -(-5) = +5
yc = -(-6) = +6
C (5 , 6) is in the first quadrant.

B) (x + 1)² + (y - 7)² = 16
xc = -(+1) = -1
yc = -(-7) = +7
C (-1 , 7) is in the second quadrant.

C) (x - 4)² + (y + 3)² = 32
xc = -(-4) = +4
yc = -(+3) = -3
C (4, -3) is in the fourth quadrant.

D) (x + 2)² + (y - 5)²= 9
xc = -(+2) = -2
yc = -(-5) = +5
C (-2 , +5) is in the second quadrant.

Therefore, the correct answers are B and D.

Assume that two marbles are drawn without replacement from a box with 1 blue, 3 white, 2 green, and 2 red marbles. find the probability of the indicated result. 20) both marbles are red.

Answers

The first time I believe it's 1/4 and then 1/7

Dan is 30 years older than Jake. In 8 years Dan will be 4 times Jake's age. How old is Jake now?

Answers

Jake is 1 now!! If Dan is 30 years older than Jake and in 8 years Dan would be 38 And Jake would be 9( If Dan will be 4 times older than Jake)

Scott is beginning racquetball at a club. his equipment will cost $67.95, the fees are $70 membership plus $5.50 per hour for 40 hours, and he will make 30 trips at $1.34 per trip. what are his total costs?

Answers

Total cost = $67.95 + $70 + ($5.5 × 40) + (30 × $1.34)

Total cost = $398.15

Answer: Total cost will be $398.15.

Step-by-step explanation:

Since we have given that

Cost of his equipment = $67.95

Cost of membership fees = $70

Cost of per hour =$5.50

For 40 hours,

Cost will be [tex]5.50\times 40=\$220[/tex]

Cost of per trip = $1.34

Cost for 30 trips will be

[tex]1.34\times 30=\$40.2[/tex]

According to question,

[tex]\$67.95+\$70+\$220+\$40.2=\$398.15[/tex]

Hence, total cost will be $398.15.

solve for p. 50,000= (25,000*p)/(100-p)

Answers

if
50000=25000*p/(100-p)
50000(100-p)=25,000p
5,000,000-50,000p=25,000p   add the 50,000
5,000,000=50,000p+25,000p
5,000,000=75,000p
p=5,000,000/75,000
p=66.66
aprox

9, 21, 7, 11, 13, 21, 5, 14, whats the range?

Answers

16 would be the range. The lowest value is 5, and the highest value is 21. You just subtract those two which gives you 16! (:
Hello there Angieevans425!
Your Question(s):
[tex]9, 21, 7, 11, 13, 21, 5, 14,[/tex]
Whats the range?
My Answer(s):
First, we need to figure out what range is.  The range is The difference between the lowest and highest values.  So, we need to order the numbers from least to greatest.  So order the numbers as: 
5, 7, 9, 11, 13, 14, 21, 21.
Then subtract the lowest number from the biggest number:
[tex]21 - 5 = 16[/tex]
So, 16 is your range!
Hope I helped,
♥ Sir Chub-Chubs.

Which of the following expression expressions is equivalent to cos3x/sinxcosx?
A.) cscxcos2x-secxsin2x
B.) secxcos2x-cscxsin2x
C.) secxcosx-cscxsinx
D.) cscxcosx-secxsinx

Answers

we have
cos3x/(sinxcosx)

we know that
cos(3x) can be written as
cos(2x +x)=[cos2x*sinx-sin2x*cosx]
Using this value of cos(3x) in given equation
[cos2x*sinx-sin2x*cosx]/(sinxcosx)

[cos2x*sinx]/(sinxcosx)-[sin2x*cosx]/(sinxcosx)
[cos2x]/(cosx)-[sin2x]/(sinx)---------> secx*cos2x-csecx*sin2x

the answer is the option B.) secxcos2x-cscxsin2x 

2. Quadrilateral ABCD is inscribed in a circle. Find the measure of each of the angles of the quadrilateral. Show your work


Would the measure of angle B be x for this??

Answers

On this picture is shown a quadrilateral inscribed in a circle and by the Inscribed Quadrilateral Theorem the angles on the opposite vertices are supplementary, or in other words are equals to 180 degrees. 

On this exercise it is asked to find the measure of angle B, First of all, you need to find the value of x. To so you have to select two opposite angles on this case angles A and C.

m<A+m<C=180      Substitute the given values for angles A and C
    x+2+x-2=180       Combine like terms
             2x=180       Divide by 2 in both sides to isolate x
               x=90

Now, that the value of x is known you can substitute it in the expression representing angle D, and then subtract that number from 180 to find the measure of angle B.

m<D=x-10             Substitute the value of x
m<D=90-10           Combine like terms
m<D=80

m<B=180-m<D       Substitute the value of angle D
m<B=180-80           Combine like terms 
m<B=100

The measure of angle B is 100 degrees, and the value of x is 90.

The brightness of a light bulb in watts, is a type of which Data?

Nominal Qualitative
Ordinal Qualitative
Discrete Quantitative
Continuous Quantitative,

Answers

Discrete quantitative, I believe that discrete quantitative refers to a "fixed" number as opposed to continuous where the value can increase or decrease.

The brightness of a light bulb in watts is considered continuous quantitative data as it represents measurable amounts that can vary and take on any value within a range.

The brightness of a light bulb, measured in watts, represents the power it uses and is an example of quantitative data. Since wattage can take on any positive value and is not restricted to whole numbers (for example, a bulb can be rated at 60.5 watts), it is considered to be continuous quantitative data. Unlike discrete data, which involve counts that must be whole numbers, continuous data can include any value within a range. Hence, when comparing the brightness of light bulbs by their wattage, one is dealing with continuous quantitative data.

Which of the following best describes how to measure the spread of the data?

Answers

the best way to measure the spread of data is by the standard deviation

Final answer:

To measure the spread of data, you can use the range, variance, or standard deviation, which respectively measure the absolute difference between extremes, the average squared deviation from the mean, and the average deviation from the mean in the same units as the data.

Explanation:

The question refers to the methods used to measure the spread of data in a dataset. The spread, or variability, indicates how much the data points in a set differ from each other and from the central measures like the mean. There are several ways to quantify this spread, including:

The range, which is the difference between the largest and smallest values in the set.

The variance, which is the average of the squared differences from the mean.

The standard deviation, which is the square root of the variance and provides a measure of spread in the same units as the data.

Knowing the spread of data helps in understanding the distribution and consistency of the dataset, which is essential for statistical analysis.

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