When two musical notes are a "fifth" apart, the frequency of the lower note is 2/3 the frequency of the higher note. Using f as the frequency of the higher note, write an expression for the frequency
of the lower notes

The probability of winning the game is 0.065

The game involves throwing two darts at two targets.

To win the game, the darts must hit anywhere in the following shapes

The area of the paper is:

Area = 8.5 inches * 11 inches

Area = 93.5 square inches

The area of the rectangle on the paper is:

Area = 5 inches * 4 inches

Area = 20 square inches

The area of the circle on the paper is:

Area = π * (3 inches)²

Area = 28.3 square inches

The probability of landing on both shapes is

P(Both) = 20/93.5 * 28.3/93.5

Evaluate

P(Both) = 0.065

Hence, the probability of winning the game is 0.065

Read more about probability at:

https://brainly.com/question/24756209

#SPJ1

The formula for x in terms of other terms in the equation is; x = (cz-yw)/(y-c).

According to the task content, it follows that the variable X is to be made the subject of the formula;

Hence, it follows that;

y ( x + w ) = c ( x + z )

yx +yw = cx +cz

x(y-c) = (cz-yw)

x = (cz-yw)/(y-c)

Remarks: The complete question requires that x be made the subject of the formula.

Read more on subject of formula;

https://brainly.com/question/11000305

#SPJ1

The length of the other skating surface AD of the ramp is 4√2 inches

An equation is an expression that shows the relationship between two or more numbers and variables.

Sine rule shows the relationship between the sides and angles of a triangle.

Using sine rule:

AB / sinD = AD / sinB

4/sin(30) = AD / sin(45)

AD = 4√2 inches

The length of the other skating surface AD of the ramp is 4√2 inches

Find out more on equation at: https://brainly.com/question/2972832

#SPJ1

(C.) 4√2

________

I got it wrong, the correct answer was revealed <3

Answer:

A.  <T=17, RS= 10

Step-by-step explanation:

These triangles are congruent by AAS congruency. This means that RS and UV will have the same measure and so will <Q and <T. Simply use that info with the measurements given.

Solving for <T:

8y-44 = 5y+7

3y = 51

y = 17

Solving for RS:

7x-2 = 5x+18

2x = 20

x = 10

Answer:

About 56%

Step-by-step explanation:

Answer:

4/15

Step-by-step explanation:

Lets find a common denominator in order to find the total amount. There is a common denominator of 15 among 3 and 5. Therefore we will convert the fraction so they have the same denominator.

1/3 > 5/15

2/5 > 6/15

If Joy had read 5/15 of the book before reading at night, she already had the progress of being at 10/15 way through the book. At the end of the day, Joy had only 6/15 left of the book. To find the remainder, we subtract 10-6=4. This helps find the answer that Joy only read 4/15 of the book towards the end of the day.

Answer:

14 in^2

Step-by-step explanation:

Break the figure up into two rectangles (vertical line down the middle). Use the formula area = length x width for the Rectangle A (2 in x 4 in = 8 in^2) and Rectangle B (3 in x 2 in = 6 in^2) Add 8 in^2 and 6 in^2 for a total area of 14 in^2

[tex] \qquad \qquad \bf \huge\star \: \: \large{ \underline{Answer} } \huge \: \: \star[/tex]

[tex]\textsf{ \underline{\underline{Explanation } }:}[/tex]

" when rays parallel to optical axis/ principal axis fall on a concave mirror it passes through focus of mirror after reflection "

[tex] \qquad \large \sf {Conclusion} : [/tex]

Answer:

71.4%

Step-by-step explanation:

7+3+8+3=21 total fish

7+8=15 healthy fish

15÷21=0.7142=71.4%

The component of mathematics fluency is most likely the goal of this type of assessment is Rate.

GIven,

A local school district requires all fourth graders to complete a 20-minute test containing 200 multiple-choice mathematics problems.

The component of mathematics fluency is most likely the goal of this type of assessment is Rate.

The school district is assessing the rate because they are seeing how many questions students can answer in a given time frame.

Hence, The component of mathematics fluency is most likely the goal of this type of assessment is Rate.

Learn more about the Component of mathematics here https://brainly.com/question/24407396

#SPJ4

The napkin covered approximately 56 square centimeters of the plate. The third option is correct.

The area of an isosceles triangle can be estimated by using the trigonometric function:

[tex]\mathbf{=\dfrac{1}{2} \times a \times b\times sin (C)}[/tex]

From the given information:

The perimeter of the triangle:

P = a + b + c

38 = a + 8 + c

where;

So;

38 = 8 + 2a

38 - 8 = 2a

2a = 30

a = c = 15

Similarly, ∠ABC = 30

∠A + ∠B + ∠C = 180   (sum of angles in a triangle)

∠A + 30 + ∠C = 180

∠A = ∠C = x

2x = 180 - 30

2x = 150

x = 150/2

∠A = ∠C = x  = 75°

Using the trigonometric function:

[tex]\mathbf{=\dfrac{1}{2} \times (15) \times (8) \times sin (75)}[/tex]

= 56 square centimeters.

Learn more about calculating the area of the triangle here:

https://brainly.com/question/23945265

#SPJ1

Answer: Option C

Step-by-step explanation:

Edge 2020

Answer:

10

Step-by-step explanation:

2 legs because you walked into the room and 4 legs of the bed and 4 legs of the chair.

By knowing the length of the three sides of the triangle and applying the law of the cosine, we find that the measure of the three angles are 33.544°, 114.998° and 31.458°.

In this question we know the length of the three sides of a triangle, we can find the measure of all angles by using the law of the cosine. So, we know that:

a = 270, b = 442.85, c = 255

Then, by the law of the cosine:

[tex]\cos A = \frac{270^{2}-255^{2}-442.85^{2}}{-2\cdot (442.85)\cdot (255)}[/tex]

A ≈ 33.544°

[tex]\cos B = \frac{442.85^{2}-270^{2}-255^{2}}{-2\cdot (270)\cdot (255)}[/tex]

B ≈ 114.998°

[tex]\cos C = \frac{255^{2}-270^{2}-442.85^{2}}{-2\cdot (270)\cdot (442.85)}[/tex]

C ≈ 31.458°

By knowing the length of the three sides of the triangle and applying the law of the cosine, we find that the measure of the three angles are 33.544°, 114.998° and 31.458°.

To learn more on law of cosine: https://brainly.com/question/13098194

#SPJ1

The answer choice which shows y+2x<4x-3, rewritten to isolate y is; y < 2x -3.

From the task content, it follows that the inequality given in the task content is; y+2x<4x-3.

Hence, the variable y can be isolated from the inequality as follows;

y+2x<4x-3

y < 4x -2x -3

y < 2x -3.

Read more on inequalities;

https://brainly.com/question/1567814

#SPJ1

The relationship between the y-axis and the line connecting F to F′ is (c) They are perpendicular to each other.

When a triangle FIT is reflected over the y-axis, the image and the pre-image of the triangle would be at either sides of the y-axis.

This means that the points on the image and the pre-image of the triangle are perpendicular to each other

Hence, the relationship between the y-axis and the line connecting F to F′ is (c) They are perpendicular to each other.

Read more about reflection at:

https://brainly.com/question/12221775

#SPJ1

By applying definition of limits, the end behavior of the rational function f(x) = 10/(x² - 7 · x - 30) is represented for the horizontal asymptote x = 0.

The end behavior of a rational functions is the horizontal asymptote of the rational function when x tends to ± ∞. Then, we find the end behavior by applying limits:

[tex]\lim_{x \to \pm \infty} \frac{10}{x^{2}-7\cdot x - 30}[/tex]

[tex]\lim_{n \to \infty} \frac{10}{x^{2}-7\cdot x - 30}\cdot \frac{x^{2}}{x^{2}}[/tex]

[tex]\lim_{x \to \pm \infty} \frac{\frac{10}{x^{2}} }{1 - \frac{7}{x}-\frac{30}{x^{2}}}[/tex]

[tex]\lim_{x \to \pm \infty} 0[/tex]

0

By applying definition of limits, the end behavior of the rational function f(x) = 10/(x² - 7 · x - 30) is represented for the horizontal asymptote x = 0.

To learn more on end behavior: https://brainly.com/question/27514660

#SPJ1

Since Jane wants to buys some lollipops, Jane has $13 dollars.

To answer the question, we need to solve simultaneous equations

Simultaneous equations are pairs of equations that contain two unknowns

Let

We know that If she buys 2 lollipops, she will have 3 dollars left, so we have that

y - 2x = 3  (1)

Also, If she wants to buy 3 lollipops, she will need 2 more dollars. So, we have that

y + 2 = 3x  (2)

So, the required simultaneous equations are

y - 2x = 3  (1)

y + 2 = 3x  (2)

From (1), x = (y - 3)/2

Substituting x into (2), we have

y + 2 = 3x  (2)

y + 2 = 3(y - 3)/2  

2(y + 2) = 3(y - 3)

2y + 4 = 3y - 9

2y - 3y = -9 - 4

-y = -13

y = -13/-1

y = 13

So, Jane has $13 dollars.

Learn more about simultaneous equation here:

https://brainly.com/question/949220

#SPJ1

Answer:

3.4

Step-by-step explanation:

[tex]Interval=\frac{4-2.2}{9}\\Interval=0.2\\therefore :\\ 6 intervals =6(0.2)\\ 6 intervals =1.2\\x=2.2+1.2\\x=3.4[/tex]

Let's see

For line A

Slope

For line B

Slope

The angle z is equal to 110° by vertically opposite angles. Hence, the correct option will be C. z = 110°.

The vertically opposite angles are those angles that are opposite one another at a specific vertex and are created by two straight intersecting lines.

Given;

The one angle is given as 110°.

So, angle z will be equal to 110° by vertically opposite angles.

Hence, the correct option will be C. z = 110°.

Learn more about vertically opposite angles;

https://brainly.com/question/18045519

#SPJ1

David paid $22 for the beanie baby.

Profit and loss formulas are used to calculate the profit or loss that has been incurred by selling a particular product. They are mainly used in business and financial transactions to depict how much profit or loss a trader has incurred from any particular deal.

Let the cost which  David pay for the beanie baby be x and y be the price at which Jessica bought the beanie baby

Profit formula :

Profit = Selling price (S.P.) - Cost price (C.P.)

So using the profit formula

$6 = $25 - y

$19 = y

Now using the same equation for David

-$3 = $19 - x

$22 = x.

Thus David paid $22 for the beanie baby.

Learn more about profit and loss here :

https://brainly.com/question/13776214

#SPJ4

Answer:

A)

Step-by-step explanation:

The cube root parent function is [tex]y=x^3[/tex]

When y=0, x=0, hence (0,0) is the x and y-intercept of the function.

Hope I helped!

Answer:

a

Step-by-step explanation:

y = 3x - 7 → (1)

4x - 5y = - 20 → (2)

substitute y = 3x - 7 into (2)

4x - 5(3x - 7) = - 20

4x - 15x + 35 = - 20

- 11x + 35 = - 20 ( subtract 35 from both sides )

- 11x = - 55 ( divide both sides by - 11 )

x = 5

substitute x = 5 into (1)

y = 3(5) - 7 = 15 - 7 = 8

solution is (5, 8 )

Answer:

The answer will be $3216.152

Step-by-step explanation:

If you do the 20% of $4020.19 then the answer will came $804.038 and then subtract the result from $4020.19 then it will came $3216.152 and it is the result only.

Using it's concept, the percentile rank for a score of 85 on this test is the 50th percentile.

When a measure is in the xth percentile of a data-set, it is greater or equal than x% of the measures and lesser than (100 - x)%.

In this problem, there are 20 scores, and 85 corresponds to the 10th highest score, hence the percentile is given by:

p = 10/20 = 0.5 x 100% = 50th percentile.

More can be learned about percentiles at https://brainly.com/question/24495213

#SPJ1

The equation of the straight line is y = -1/6(x - 10) + 4

The equation is given as:

y = 2x + 6

Linear equations are represented as:

y = mx + c

Where:

Slope = m

So, we have:

m = 6

The slopes of perpendicular lines are represented as:

n = -1/m

So, we have:

n = -1/6

The equation is then represented as:

y = n(x - x1) + y1

This gives

y = -1/6(x - 10) + 4

Hence, the equation of the straight line is y = -1/6(x - 10) + 4

Read more about linear equations at:

https://brainly.com/question/14323743

#SPJ1

Without having to raise funds externally sales could increase by $84,507.04.

Given that $4 million sales in 2021 and in end of the year total assets are $3.2, current liabilities are $500,000, payable notes are $200,000, accounts payable is $200,000 and accrued liabilities are $100,000 and in 2022 assets must increase by $.80 for every $1.00 increase in sales.

The amount of sales increase that the company can achieve without having to raise funds externally is calculated by multiplying the current year sales with the self-supporting growth rate.

Current Year Sales = $4,000,000

Profit Margin = 3.00%

Dividend Payout Ratio = 50%

Therefore, the Retention Ratio = 50%

Total Spontaneous Liabilities is, $200,000 + $100,000=$300,000

Last Year Total Assets = $3,200,000

Therefore, the Self-supporting Growth Rate=Addition to Retained Earnings÷[Total Assets–Total Spontaneous Liabilities-Addition to Retained Earnings]

= [Last year sales×Profit Margin×(1-Dividend Payout Ratio)]÷[Total Assets-Total Spontaneous Liabilities-Addition to Retained Earnings]

= [$4,000,000×0.03×(1–0.50)]÷[$3,200,000-$300,000–{[$4,000,000×0.04×(1–0.050)}]

= $60,000÷[$3,200,000-$300,000-$60,000]

= $80,000÷$2,840,000

= 0.02112676 or 2.112676%

Therefore, the increase in sales that the company can achieve without having to raise funds externally = Last Year Sales×Self-supporting Growth Rate

= $4,000,000×2.112676%

= $84,507.04

Hence, the Increase in Sales so the company achieve without having to raise funds externally $84,507.04”

Learn about profit margin from here brainly.com/question/5193190

#SPJ4

Answer:

23.3 mpg

Step-by-step explanation:

For the unit rate of miles per gallon (mpg)

140 miles / 6 gallons = 23 1/3   mpg  = 23.3 mpg

The required ratio as a unit rate is 23.3 mi/gal, which is determined by dividing the number of miles by the number of gallons.. The correct answer is option (a).

To express each ratio as a unit rate (mi/gal), we need to divide the number of miles by the number of gallons.

The units rate can be calculated as:

Units rate = number of miles / the number of gallons.

Unit rate = 140 miles / 6 gallons

Apply the division operation to get:

Unit rate = 23.3 mi/gal

Thus, the required ratio as a unit rate is 23.3 mi/gal.

Hence, the correct answer is option (a).

To learn more about the rate click here :

https://brainly.com/question/12786410

#SPJ3

The x and y-intercepts are (-3/4, 0) and (0, 7/3) respectively

The y-intercept is the point where the value of x is zero while the x-intercept is the point where the value of y is zero

Given the function below;

-4x + 7y = 3

For the x-intercept

-4x = 3

x = -3/4

The x-intercept is (-3/4, 0)

For the y-intercept

7y = 3

y = 3/7

The y-intercept is (0, 7/3)

Hence the x and y-intercepts are (-3/4, 0) and (0, 7/3) respectively

Learn more on intercepts here; https://brainly.com/question/1884491

#SPJ1

Answer:

It's a linear function.