Estimate the difference.
858.9 - 172
Use rounding to estimate the difference.

Now the aim of the above discussion is to internalize the mathematical relationships for open-end air columns in order to perform calculations predicting the length of air column required to produce a given natural frequency. And conversely, calculations can be performed to predict the natural frequencies produced by a known length of air column. Each of these calculations requires knowledge of the speed of a wave in air (which is approximately 340 m/s at room temperatures). The graphic below depicts the relationships between the key variables in such calculations. These relationships will be used to assist in the solution to problems involving standing waves in musical instruments.

Answer:

12/37

Step-by-step explanation:

[tex]7x - y[/tex]

Insert values for [tex]x[/tex] and [tex]y[/tex]

[tex]7 \cdot 9 - 3 = 63 - 3 = 60[/tex]

Answer:

F(-6, 3) --> F'(-6,3)

G(-4,3) --> G'(-8,3)

H(-2,4) --> H'(-10,4)

Answer:

F(-6,3)

G(-8,3)

H(-10,4)

Step-by-step explanation:

If your reflecting over the red line then all I do is first try to recreate the shape on the other side of the red line. (Like a reflection) And then look at the points it landed on. And that's your answer

Answer:

The answer is the last one - t-40

Answer:

Step-by-step explanation:

[tex]\mathrm{Line\:passing\:through\:}\left(-1,\:-3\right)\mathrm{,\:}\left(2,\:1\right)\\\\\mathrm{Find\:the\:line\:}\\\mathbf{y=mx+b}\mathrm{\:passing\:through\:}\left(-1,\:-3\right)\mathrm{,\:}\left(2,\:1\right)\\\\\mathrm{Compute\:the\:slope\:}\left(-1,\:-3\right),\:\left(2,\:1\right):\quad \\m=\frac{4}{3}\\\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}\\\\\left(x_1,\:y_1\right)=\left(-1,\:-3\right),\:\left(x_2,\:y_2\right)\\\left\\[/tex]

[tex]\\m=\frac{1-\left(-3\right)}{2-\left(-1\right)}\\\\Refine\\\\m=\frac{4}{3}\\\\\mathrm{Compute\:the\:}y\mathrm{\:intercept}:\quad b=-\frac{5}{3}\\\\y=\frac{4}{3}x-\frac{5}{3}\\[/tex]

Convert equation to standard form

[tex]y - \frac{4}{3} x + \frac{5}{3} = 0\\\\Multiply \:through\: by\: 3;\\\\3\times (y - \frac{4}{3} x + \frac{5}{3} )=0\\\\3y -4x+5 = 0\\Arrange\:n\:form\:of \:;\\Ax +By = C\\\\-4x +3y =-5[/tex]

Answer:

2

Step-by-step explanation:

Answer:

106.08

Step-by-step explanation:

Answer:

106.08 percent

Answer:

See below

Step-by-step explanation:

Given:

Combination of domain for the function is the following union:

Group of answer choices:

The domain is the depth interval (−26, 1).

The domain is the depth interval (−9, 1].

The domain is the set of times −9 < x < −2, −2 < x < 1, and 1 < x < 7.

The domain is the time interval (−9, 7).

Answer:

1/3 in decimal format is .333333333333... so none of these are correct

Looks like the integral should be

[tex]\displaystyle\int\frac{x+2}{\sqrt{x+(2x+3)^2}}\,\mathrm dx[/tex]

Expand the denominator:

[tex]\displaystyle\int\frac{x+2}{\sqrt{4x^2+13x+9}}\,\mathrm dx[/tex]

Notice that

[tex]u=4x^2+13x+9\implies \mathrm du=(8x+13)\,\mathrm dx[/tex]

In order to use this substitution, expand the integral as

[tex]\displaystyle\frac18\int\frac{8x+13}{\sqrt{4x^2+13x+9}}\,\mathrm dx+\frac38\int\frac{\mathrm dx}{\sqrt{4x^2+13x+9}}[/tex]

In the first integral, use the previously mentioned substitution:

[tex]\displaystyle\frac18\int\frac{8x+13}{\sqrt{4x^2+13x+9}}\,\mathrm dx=\frac18\int\frac{\mathrm du}{\sqrt u}=\frac14\sqrt u[/tex]

[tex]=\dfrac14\sqrt{4x^2+13x+9}[/tex]

In the second integral, complete the square in the denominator:

[tex]4x^2+13x+9=4\left(x+\dfrac{13}8\right)^2-\dfrac{25}{16}[/tex]

Now substitute

[tex]x=\dfrac58\sec t-\dfrac{13}8\implies\mathrm dx=\dfrac58\sec t\tan t\,\mathrm dt[/tex]

so that

[tex]\sec t=\dfrac{8x+13}5[/tex]

Then

[tex]4x^2+13x+9=\dfrac{25}{16}(\sec^2t-1)=\dfrac{25}{16}\tan^2t[/tex]

and the integral becomes

[tex]\displaystyle\frac{\frac{15}{64}}{\frac54}\int\frac{\sec t\tan t}{\sqrt{\tan^2t}}\,\mathrm dt=\frac3{16}\int\sec t\,\mathrm dt[/tex]

[tex]=\dfrac3{16}\ln|\sec t+\tan t|[/tex]

[tex]=\dfrac3{16}\ln\left|\dfrac{8x+13}5+\dfrac{\sqrt{(8x+13)^2-25}}5\right|[/tex]

So, the integral is

[tex]\dfrac14\sqrt{4x^2+13x+9}+\dfrac3{16}\ln\left|\dfrac{8x+13}5+\dfrac{\sqrt{(8x+13)^2-25}}5\right|+C[/tex]

The answer is -9

-4 - 5 = -9

the answer is -4-(5)= -9

Answer:

2+x^2=18 = 2+4^2=18

Step-by-step explanation:

Because when you have the ( ^2) then that means your going to multiply a number by the same number and then 4 times 4 equals 16 and you still have the +2 therefore you add that on the 16 and 16+2 equals 18.

37.8541

roll another one

Answer:

x=-2

Step-by-step explanation:

3[x+4]+4x=-2

The 3 multiplies x and 4

3x+12+4x=-2

Group like terms

3x+4x=-2-12

7x=-14

Divide through by 7

7x/7=-14/7

x=-2

Answer:

If each charity has received $375 and there is 4 charities, the equation should look like this...

$375 x 4 = d

If you are looking how much was donated all together, the answer is:

$1500 dollars in total was donated.

Answer:

Rational.

Step-by-step explanation:

Irrational are these.

[tex]\sqrt{2} , \sqrt{5}[/tex] ,π

Yes, the given number is a rational number.

Rational numbers are numbers that can be written in the form p/q, where p and q are integers and q≠0.

Given that, a number 2.4444...

Repeating decimals are considered rational numbers because they can be represented as a ratio of two integers.

Hence, 2.4444 is a rational number.

For more references on rational numbers, click;

https://brainly.com/question/24398433

#SPJ2

Answer: 0.375

Step-by-step explanation:

Given the following :

Both teams have an equal probability of winning = 0.5

Find the probability that both teams are tied after 4 games, that is 2-2 ( this means each team has exactly 2 successes and 2 losses).

This problem can be modeled using a binomial probability :

P(x) = nCx * p^x * (1-p)^(n-x)

x = number of successes = 2

P = probability of success = 0.5

(1-p) = probability of failure = 0.5

n = number of trials = 4

P(x = 2 ) = 4C2 * 0.5² * 0.5^(4-2)

P(x = 2) = 6 * 0.5² * 0.5²

P(x = 2) = 6 * 0.25 * 0.25

P(x = 2) = 0.375

Answer:

3:1

Step-by-step explanation:

If John makes 3, Then Kaleel makes 9,  If John makes 1, Then Kaleel makes 3.

Answer:

Ummmm issa bout 20 feet

Step-by-step explanation: beetle juice

Answer:

20 feet

Step-by-step explanation:

Answer:

  0.6066066606666066666...(increasing numbers of 6)

Step-by-step explanation:

One way to make a decimal non-repeating is to extend a pattern by one digit each time you write the pattern. That is the structure of the number Sophia and Nora are looking at. It is also the structure of the number in your question ...

  https://brainly.com/question/17546271

__

Any irrational number will have a non-repeating decimal: √2, for example.

Answer:

= - 2.43%

Step-by-step explanation:

From the information given:

Since the variable (daily returns) is normally distributed, Then, using empirical rule at 95% confidence interval level, we have:

[tex]( \mu - 1.96 \sigma \ , \ \mu + 1.96 \sigma)[/tex]

where;

The expected mean daily return [tex]\mu = 0.05 \%[/tex]

The standard deviation [tex]\sigma = 1.5\%[/tex]

Given that the 95% confidence interval is expected to be a maximum loss, then the probability is left-tailed which is 1.65[tex]\sigma[/tex] away from the average.

Thus the distribution of the lower boundary can be computed as:

= [tex](0.05 - 1.65 \times 1.5)\%[/tex]

= [tex](0.05 - 2.475)\%[/tex]

= [tex]( - 2.425)\%[/tex]

= - 2.43%

Answer:

#5 is b) -250, -200, 0, 300

Step-by-step explanation: