what is the answer to the question

The required value of y for the unit circle is: 2/3

The circle is defined as the locus of a point whose distance from a fixed point is constant i.e center (h, k).

The equation of the circle is given by:

(x - h)² + (y - k)² = r²

where:

h, k is the coordinate of the center of the circle on coordinate plane.

r is the radius of the circle.

Here,

Equation of the unit circle is given as,

x² + y² = 1

Now substitute the given value in the equation,

5/9 + y² = 1

y² = 1 - 5/9

y² = 4/ 9

y = √(4/9)

y = 2/3

Thus, the required value of y for the unit circle is 2/3

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The desirable heart rate for a 46 year old women is 115.1

Expression means a number, a variable, or a combination of numbers and variables and operation symbols.

Given:

The medical researchers has found the desirable heart rate of the person through the following expression

For men the expression is

r = 165 - 0.75a

For women the expression is

r = 145 - 0.65a

Here r represents the heart rate and a represents the person's age.

Here we need to find the desirable heart rate of the 46 year old women

So, the value of a is 46,

Now we have to apply the value on the given expression in order to solve it,

So,

r = 145 - (0.65 x 46)

r = 145 - 29.9

r = 115.1

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Here it is . Sorry for bad handwriting

Answer:

x=13

Step-by-step explanation:

9x+15+3x+9=180

12x+24=180

12x=156

x=13

Answer:

x=13

Step-by-step explanation:

(3x+9)+(9=180

12x+24=180

12x=156

x=13

The two positive numbers are 39 and 91 in the ratio 3:7

An equation is an expression composed of variables and numbers linked together by mathematical operations.

Let x and y represent the two positive numbers. x represent the smaller while y is the larger

Two positive numbers are in the ratio 3:7, hence:

(3/10)(x + y) = x

3x + 3y = 10x

7x - 3y = 0   (1)

Their difference is 52, hence:

y - x = 52   (2)

From both equations:

x = 39, y = 91

The two numbers are 39 and 91

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The number of degrees that the direction of the boat change when it made its first turn is 39°.

From the information given, we would use the cosine function to solve the information.

This will be:

18² = 28² + 25² - 2(28)(25)(cos x)

324 = 784 + 625 - 1400cosx

x = 39.19

Therefore, the value is 39°.

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The length of the rectangle is 7 cm and the width is 5 cm.

The whole distance covered by the rectangle's borders or its sides is known as its perimeter. As we know the rectangle will have 4 sides then the perimeter of the rectangle will be equal to the total of its four sides. And the unit will be in meters, centimeters, inches, feet, etc.        

The formula for the Perimeter of the rectangle is given by

Here we have

The length of a rectangle is 2cm greater than the width of the rectangle

And perimeter of the rectangle = 24 cm

Let x be the width of the rectangle

From the given data,

Length of the rectangle = (x + 2) cm  

As we know Perimeter of rectangle = 2(Length+width)

=> Perimeter of rectangle = 2(x+2 + x) = 2(2x +2)

From the given data,

Perimeter of rectangle =  24cm

=> 2(2x +2) = 24 cm

=> (2x +2) = 12     [ Divided by 2 into both sides ]

=>  2x = 12 - 2

=>  2x = 10

=>   x = 5         [ divided by 2 into both sides ]  

Length of rectangle, (x+2) = 5 + 2 = 7 cm

Therefore,

The length of the rectangle is 7 cm and the width is 5 cm.

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Answer:

mothers: 30

daughters: 32

Step-by-step explanation:

A Girl Scout troop sells 62 tickets to their mother-and-daughter dinner, for a total of $216. If the tickets cost $4.00 for mothers and $3.00 for daughters, how many of each ticket did they sell?

This is represented by the algebraic equations:

m + d = 62

4m + 3d = 216

Solve the first equation for d:

m + d = 62

d = 62 - m

Substitute d = 62 - m into second equation:

4m + 3d = 216

4m + 3(62 - m) = 216

4m + 186 - 3m = 216

subtract 186 from both sides:

4m + 186 - 3m - 186 = 216 - 186

4m - 3m = 30

combine left side:

m = 30

SO: there were 30 tickets sold to mothers.

Take the first equation and let m = 30:

m + d = 62

30 + d = 62

subtract 30 from both sides:

30 + d - 30 = 62 - 30

d = 32

_______________________

check: when m = 30 and d  = 32

m + d = 62

30 + 32 = 62, CORRECT

4m + 3d = 216

4(30) + 3(32) = 216

120 + 96 = 216, CORRECT

The troop sold 30 mother tickets and 32 daughter tickets.

Let's start by using a system of equations to solve this problem. Let x be the number of mother tickets sold and y be the number of daughter tickets sold. We can write the following equations:

x + y = 62 (the total number of tickets sold)
4x + 3y = 216 (the total amount of money earned from ticket sales)

Now we can use the first equation to solve for one of the variables in terms of the other. For example, let's solve for x in terms of y:
x = 62 - y

Now we can substitute this value of x into the second equation:
4(62 - y) + 3y = 216

Simplifying this equation gives us:
248 - 4y + 3y = 216
Simplifying further gives us:
-y = -32

And finally, solving for y gives us:
y = 32
Now we can plug this value of y back into the first equation to solve for x:
x + 32 = 62
x = 30

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The CPA Practice Advisor reports that the mean preparation fee for federal income tax returns was 261. Use this price as the population mean and assume the population standard deviation of preparation fees is 120.

We need to find the probability of selecting a random sample of 20 tax returns and a standard deviation of the sample preparation fees of 50 or less.

We use the central limit theorem that states that, regardless of the shape of the population, the sampling distribution of the sample means approaches a normal distribution with mean μ and standard deviation

σ/√n

where μ is the population mean, σ is the population standard deviation, and n is the sample size.

Therefore, we have:

\(\mu = 261\]\\sigma = $120\]\\n = 20\]\)

\(S.E.= \frac{\sigma}{\sqrt{n}}\\S.E =\frac{\ 120}{\sqrt{20}}\\S.E =26.83\)

The probability of selecting a random sample of 20 tax returns and a standard deviation of the sample preparation fees of 50 or less is given by:

\(P(Z < \frac{X - \mu}{S.E})\]\)

where X is the sample mean, μ is the population mean, and S.E is the standard error of the mean.

To calculate the probability, we standardize the distribution of the sample means using the z-score formula, i.e.,

\(\[z = \frac{X - \mu}{S.E} = \frac{\50 - \261}{\26.83} = -7.91\]\)

Therefore, the probability of selecting a random sample of 20 tax returns and a standard deviation of the sample preparation fees of 50 or less is zero because the z-score is less than the minimum z-score (i.e., -3.89) that corresponds to the probability of selecting a random sample of 20 tax returns and a standard deviation of the sample preparation fees of 50 or less.

Thus, it is impossible to obtain such a sample.

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Answer:

B.) This is not a binomial experiment, because the number of trials is not fixed.

Step-by-step explanation:

For a certain experiment to be classed as a binomial, it has to meet some criteria ;

Which include ;

1.) The trials should be independent.

11.) Each trial should be classifiable into one of success of failure.

111). There is a fixed mean probability for success and failure

IV) There is a fixed number of trials, in experiment described above, the number of trials isn't fixed, it is variable, as the trial will continue until a defective item is obtained.

The point corresponding to (1, 2) on the graph of the function 3f(2x) is (3,6 ).

Function is a type of relation, or rule, that maps one input to specific single output.

Since, we are given a function f(x) such that the point (1,2) lie on the graph of the function f(x).

Now, we are given a new function g(x) as 3f(2x) i.e. g(x) = 3f(2x).

Clearly, this new function g(x) is a dilation of f(x) by a scale factor of '3'.

Hence, every coordinates of the this new function will get multiplied by the scale factor.

i.e. (3×1, 3× 2)=(3, 6)

Hence, the point corresponding to the point (1,2) on the graph of f(x) will convert to the point (3, 6) on the graph of g(x)= 3 f(2x).

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Answer:

ft hu hu mmmmmmmmmuaaaaaaaaaaaaaah

Answer:

With the 24 ounces of water he would have 9 ounces of food coloring.

Step-by-step explanation:

For ever 8 ounces of water there is 3 ounces of food coloring so if there is 24 ounces of water that mean there is 3 times the original starting amount. So 8x3=24 so there is 24 ounces of the water. Since the8 got multiplied by 3 that means the 3 we haven't used yet will get multiplied by 3 as well so we can find the answer. So 3x3=9. That means we would have 9 ounces of food coloring with the 24 ounces of water.

Answer:

The answer is 1.1

Step-by-step explanation:

you round 8 up to 1

Answer:

y = (3/2)x + (-5/2)

Step-by-step explanation:

Answer:

y = - \(\frac{3}{2}\) x + \(\frac{5}{2}\)

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

given

3x + 2y = 5 ( subtract 3x from both sides )

2y = - 3x + 5 ( divide through by 2 )

y = - \(\frac{3}{2}\) x + \(\frac{5}{2}\) ← in slope- intercept form

The values for numbers #21 through #26 are as follows:

#21: 2.33% or 0.0233. #22: $56.4842. #23: 1.85% or 0.0185. #24: $56.4148. #25: 3.64% or 0.0364. #26: $57.4397

#21: 2.33% (arithmetic mean as a fraction: 0.0233)

#22: $56.4842 (result of the calculation)

#23: 1.85% (geometric mean as a fraction: 0.0185)

#24: $56.4148 (result of the calculation)

#25: 3.64% (continuous mean as a fraction: 0.0364)

#26: $57.4397 (result of the calculation)

To fill out numbers #21 through #26, we need to calculate the values for each term using the given information and convert the percentages to fractions.

#21: The arithmetic mean is given as a percentage. Convert it to a fraction by dividing by 100. Therefore, #21 = 2.33% = 0.0233.

#22: Multiply the starting price ($53.07) by the compound factor (1 + arithmetic mean)^3. Substitute the value of #21 into the calculation. Therefore, #22 = $53.07 x (1 + 0.0233)^3 = $56.4842.

#23: The geometric mean is given as a percentage. Convert it to a fraction by dividing by 100. Therefore, #23 = 1.85% = 0.0185.

#24: Multiply the starting price ($53.07) by the compound factor (1 + geometric mean)^3. Substitute the value of #23 into the calculation. Therefore, #24 = $53.07 x (1 + 0.0185)^3 = $56.4148.

#25: The continuous mean is given as a percentage. Convert it to a fraction by dividing by 100. Therefore, #25 = 3.64% = 0.0364.

#26: Multiply the starting price ($53.07) by the continuous factor e^(continuous mean x 3). Substitute the value of #25 into the calculation. Therefore, #26 = $53.07 x e^(0.0364 x 3) = $57.4397.

Hence, the values for numbers #21 through #26 are as calculated above.

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Bubba can paint an area of approximately 205,797.10 square meters with a single coating of the 3 gallons of paint, assuming he manages a uniform thickness.

The area that Bubba can paint with a single coating of the 3 gallons of paint, we need to first convert the volume of the paint into liters. As given, 1 gallon is the same as 3.78 liters.
3 gallons x 3.78 liters/gallon = 11.34 liters
Now, we need to use the thickness of the paint to calculate the area that can be covered with this amount of paint. The thickness of the paint is given as 0.0552 mm. We need to convert this to meters so that it is in the same units as the area. 1 mm is equal to 0.001 meters, so:
0.0552 mm x 0.001 meters/mm = 0.0000552 meters

The thickness of the paint in meters. Now we can use the volume and thickness of the paint to calculate the area that can be covered. The formula for this is:
Area = Volume / Thickness
Area = 11.34 liters / 0.0000552 meters
Area = 205,797.10 square meters

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Answer:

In order of the questions asked, the answers are, C, D, A, C

Step-by-step explanation:

After three half-lives have elapsed, 12.5% of the original nuclide remains, so the answer is C.

if 17 % is daughter nuclide, then 83% is parent nuclide, so , the answer is D

the isotope for dating organic remains is A. carbon-14

for 25% of original, 2 half-lives must have passed, so we get (2)(5730) = 11460

so the answer is C

Answer:

b

Step-by-step explanation:

A dune buggy travels 17,280 cm (centimeters) in 4 minutes.

The distance traveled by a dune buggy moving through a hallway at 57.4 cm/s in 4 minutes is 17,280 cm. Here's how to solve it:

First, convert 4 minutes to seconds:4 minutes x 60 seconds/minute = 240 seconds

The distance traveled by the dune buggy in 240 seconds can be calculated using the formula:

Distance = Speed x Time

Therefore,

Distance = 57.4 cm/s x 240

s = 13,776 cm

Since the distance is required in centimeters, we stop here.

Therefore, the dune buggy travels 13,776 cm in 4 minutes.

However, the question requires units, so the unit is centimeters.

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Answer:

It is 50 cm squared hxb/2=a

Antidisestablishmentarianism

The number of minutes a scented candle lasts if it burns out sooner than 80% of all scented candles is 244 minutes.

When the distribution is normal, we use the z-score formula.

In a set with mean µ and standard deviation σ , the z-score of a measure X is given by:

Z = (X – µ) / σ

The Z-score shows how many standard deviations the measure is from the mean. After finding the Z-score, need to look at the z-score table and discover the p-value associated with the z-score. This p-value is the probability that the value of the measure is smaller than X, means, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

So, in this case, given that:

µ = 249, σ = 20

The number of minutes a scented candle lasts if it burns out sooner than 80% of all scented candles:

100 – 80 = 20th percentile, which is X when Z has a p-value of 0.2. So, X when Z = –0.253.

Now, put all the values into the formula:

Z = (X – µ) / σ

–0.253 = (X – 249) / 20

X – 249 = –0.253 * 20

X = 244

Hence, the candle burns for 244 minutes.

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There are 364 different committees of 3 people. There are 436 different committees of 4 people.

There are different scenarios for which we can calculate the number of possible committees. Here are a few examples:

To calculate the number of different committees of 3 people, we can use the combination formula, which is:

\(${n \choose k} = \frac{n!}{k!(n-k)!}$\)

where n is the total number of people and k is the number of people needed for the committee. Using this formula, we get:

\(${14 \choose 3} = \frac{14!}{3!(14-3)!} = \frac{14!}{3!11!} = 364$\)

Therefore, there are 364 different committees of 3 people that can be formed from this group.

To solve this problem, we can use the principle of inclusion-exclusion. First, we calculate the total number of committees of 4 people, which is:

\(${14 \choose 4} = \frac{14!}{4!(14-4)!} = \frac{14!}{4!10!} = 1001$\)

Next, we calculate the number of committees that do not include a freshman, which is:

\(${12 \choose 4} = \frac{12!}{4!(12-4)!} = \frac{12!}{4!8!} = 495$\)

Similarly, we calculate the number of committees that do not include a sophomore, a junior, and a senior, which are:

\(${11 \choose 4} = \frac{11!}{4!(11-4)!} = \frac{11!}{4!7!} = 330$\)

\(${10 \choose 4} = \frac{10!}{4!(10-4)!} = \frac{10!}{4!6!} = 210$\)

\(${9 \choose 4} = \frac{9!}{4!(9-4)!} = \frac{9!}{4!5!} = 126$\)

Now we can apply the principle of inclusion-exclusion, which is:

Total number of committees - (number of committees without a freshman + number of committees without a sophomore + number of committees without a junior + number of committees without a senior) + (number of committees without a freshman and without a sophomore + number of committees without a freshman and without a junior + number of committees without a freshman and without a senior + number of committees without a sophomore and without a junior + number of committees without a sophomore and without a senior + number of committees without a junior and without a senior) - number of committees without any freshmen, sophomores, juniors, or seniors.

Plugging in the values, we get:

$1001 - (495 + 330 + 210 + 126) + (66 + 120 + 165 + 84 + 55 + 35) - 1 = 436$

Therefore, there are 436 different committees of 4 people that can be formed, with at least one person from each grade level.

Note that for the last step, we subtracted 1 because there is only one committee that has no freshmen, sophomores, juniors, or seniors.

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\((\stackrel{x_1}{-2}~,~\stackrel{y_1}{6})\qquad (\stackrel{x_2}{-1}~,~\stackrel{y_2}{18}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{\textit{\large rise}} {\stackrel{y_2}{18}-\stackrel{y1}{6}}}{\underset{\textit{\large run}} {\underset{x_2}{-1}-\underset{x_1}{(-2)}}} \implies \cfrac{12}{-1 +2} \implies \cfrac{ 12 }{ 1 } \implies 12\)

\(\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{6}=\stackrel{m}{ 12}(x-\stackrel{x_1}{(-2)}) \implies y -6 = 12 ( x +2) \\\\\\ y-6=12x+24\implies {\Large \begin{array}{llll} y=12x+30 \end{array}}\)

The equation of the ellipse is 32(x + 7)² + 144(y + 9)² = 4608.

We have,

To determine the equation of an ellipse with a horizontal major axis, centered at the point (h,k), with a focus at (h + c, k) and a co-vertex at

(h, k + b), we can use the following formula:

(x - h)² / a² + (y - k)² / b² = 1

where:

h and k are the x- and y-coordinates of the center of the ellipse

a is the length of the semi-major axis (half of the length of the major axis)

b is the length of the semi-minor axis (half of the length of the minor axis)

c is the distance from the center of the ellipse to each focus

In this case,

The center of the ellipse is (-7, -9), the focus is (1, -9), and the co-vertex is (-7, -3).

The center of the ellipse is:

h = -7

k = -9

The distance between the center and the focus is:

c = 1 - (-7) = 8

The distance between the center and the co-vertex is:

b = 3 - (-9) = 12

Since the focus is to the right of the center, the major axis is horizontal, so the length of the semi-major axis is:

a = √(c² - b²) = √(8² - 12²) = 4 x √(2)

Now,

The equation of the ellipse is:

(x + 7)² / (4 x √(2))² + (y + 9)² / 12² = 1

Simplifying:

(x + 7)² / 32 + (y + 9)² / 144 = 1

Therefore,

The equation of the ellipse is:

32(x + 7)² + 144(y + 9)² = 4608

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Answer:

x=21/40

Step-by-step explanation:

First get common denominators

3/8 *5 to top and bottom is now 15/40

3/20 *2 to top and bottom is now 6/40

isolate the X

x-15/40=6/40

+15/40    +15/40

x=21/40

Answer:

x = \(\frac{21}{40}\)

Step-by-step explanation:

Given

x - \(\frac{3}{8}\) = \(\frac{3}{20}\)

Multiply through by 40 ( the LCM of 8 and 20 ) to clear the fractions

40x - 15 = 6 ( add 15 to both sides )

40x = 21 ( divide both sides by 40 )

x = \(\frac{21}{40}\)

Answer:

D) 10

Hope that helps! Plz mark as brainlest!

Step-by-step explanation:

Cause if you look... the small triangle has 4 at the bottom and the big one has 8. So you know the big triangle is double the size. Now you can do 5 x 2 to get 10!