Write the equation of the given circle.
center at origin, d=12

16/27 is the value of quantity.

What is a linear equation in math?

\(\frac{3^{2} * 3^{-5} }{4^{2} } = \frac{3^{-3} }{4^{-2} }\)

\(\frac{1}{3^{3} }\)  ÷  \(\frac{1}{4^{2} }\)

\(\frac{1}{27} * 16 = \frac{16}{27}\)

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Answer:

the ture was

0.6 • 25 = x

6/10=x/25

x/25=60/100

the fault

6.0 • 25 = x

x • 1.6 = 25

60/100=25/x

Answer:

1/2

Step-by-step explanation:

You should inverse the slope and multiply by -1

The correct answer is A. The selling price of a bond is affected by the coupon rate and the market interest rate.

If the coupon rate is less than the market interest rate, investors will not be interested in buying the bond because they can get a higher return elsewhere. This results in the selling price of the bond being less than its face value of $10,000.
The selling price of a $10,000 5-year bond will be less than $10,000 if the:
A. Coupon rate is less than the market interest rate

This is because when the coupon rate (the interest paid by the bond) is lower than the market interest rate, investors would prefer to invest in other options that offer a higher return. Therefore, to attract buyers, the bond's selling price would be discounted to compensate for the lower coupon rate.

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9514 1404 393

Answer:

  3√3 square units

Step-by-step explanation:

The area of a regular n-sided polygon with radius r is given by the formula ...

  A = (n/2)r²·sin(360°/n)

For n=3 and r=2, the area is ...

  A = (3/2)(2²)·sin(360°/3) = 6·sin(120°) = 6(√3/2)

  A = 3√3 . . . . square units

_____

Alternate solution

The center of this polygon is the centroid, which divides each median into parts with the ratio 2:1. This means the given radius is 2/3 of the height of the triangle. The base of the triangle is 2/√3 times the height, so is ...

  b = (2/√3)(3) = 2√3

The area using these dimensions is calculated as ...

  A = 1/2bh

  A = 1/2(2√3)(3) = 3√3 . . . . square units

The graph of f(x) = -2⁻ˣ is given as attached.

To graph the function f(x) = -2⁻ˣ, we can follow these steps:

1. Choose a set of x-values to plot on the x-axis. Since the function has an exponent that involves negative powers of 2, we should choose values that are evenly spaced on the x-axis, such as -3, -2, -1, 0, 1, 2, and 3.

2. Substitute each x-value into the function to find the corresponding y-value. For example, when x = -3, we have f(-3) = -2⁻³ = -1/8. Similarly, we can find the y-values for the other x-values we chose.

3. Plot the points (x, y) on the graph. Make sure to label the axes and use a ruler or graphing software to ensure accuracy.

4. Connect the points with a smooth curve to show the shape of the function between the plotted points. Since the function has a negative exponent, it approaches zero as x gets larger, so the curve should approach the x-axis as it moves to the right.

The resulting graph should show a decreasing curve that gets closer and closer to the x-axis, without ever touching it, as x gets larger.

Note that the values of y for each x are:

When x = -3, y = -1/8

When x = -2, y = -1/4

When x = -1, y = -1/2

When x = 0, y = -1

When x = 1, y = -2

When x = 2, y = -4

When x = 3, y = -8

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Answer:

sin(θ)  =  -6/10  =  -0.60 and tan(θ)  =  -6/8  =  -0.75.

Step-by-step explanation:

Since  cos(θ) = adjacent / hypotenuse  in a right triangle andsince cos(θ) = 0.8  =  8/10   --->   adjacent = 8  and  hypotenuse  =  10.Using the Pythagorean Theorem, opposite = +6  or  -6, depending upon the quadrant.Since tan(θ) < 0, the triangle is found in either the second quadrant or the fourth quadrant.Since cos(θ) > 0, the triangle is found in either the first quadrant or the fourth quadrant.Therefore, it must be in the fourth quadrant.In the fourth quadrant, sin(θ) < 0, making the opposite side -6.--->   sin(θ)  =  -6/10  =  -0.60.--->   tan(θ)  =  -6/8  =  -0.75.

The empirical probability of drawing the cards will be 6 / 55.

The ratio of the number of outcomes in which a defined event occurs to the total number of trials, not in a theoretical sample space but in a real experiment, is the empirical probability, relative frequency, or experimental probability of an event.

Given that a card is drawn one at a time from a well-shuffled deck of 52 cards. In 13 repetitions of this experiment, 1 king is drawn.

The number of kings in a well-shuffled deck consists of 52 cards which is 4.

The number of ways of drawing consists of 4 kings in 13 repetitions which is ¹³C₄.

In 13 repetitions, 2 kings are drawn by ¹³C₂ ways,

The empirical probability will be calculated as,

P(E) = ¹³C₂ / ¹³C₄

P(E) = [ (13!) / (13-2)! ] ÷ [ (13!) / ( 13-4)!(4!) ]

P(E) = ( 4 x 3 ) / ( 11 x 10)

P(E) = 6 / 55

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Answer:

2/5

Step-by-step explanation:

2:3

If we write an equation: 2x+3x=150

5x=150, so x=30

Goldfish= 2x= 60

Betta fish= 3x= 90

60/150= 6/15 = 2/5

OR

2x+3x= 5x

2x/5x, cancel out x, 2/5

The length of the rectangular solar panel the electrician is installing is 25m

The length of the panel is calculated from the Area of the panel which is given by the formula

Ares of rectangle = length * width

given units

area = 180 squared meters

width of the section = 7 1/5

From area = length  * width

length  = are / width

length  = 180 / 7 1/5

length = 25 m

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Answer:

25m

Step-by-step explanation:

25m

A parabola is a U-shaped curve that can be formed by intersecting a cone with a plane that is parallel to one of its sides.

To find an equation of a parabola given the vertex and focus, we can use the following formula:

For a parabola with vertex (h, k) and focus (h, k + p), the equation is:

(x - h)^2 = 4p(y - k)

where p is the distance from the vertex to the focus.

If the focus is at (h + p, k), then the equation is:

(y - k)^2 = 4p(x - h)

where p is the distance from the vertex to the focus.

what is distance?

In the context of a parabola, the distance is the distance between the vertex and the focus, which is also known as the focal length. It is a constant value that determines the shape and size of the parabola.

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Answer:

\(\left(2g^4+3a^2\right)\left(4g^8-6g^4a^2+9a^4\right)\)

Step-by-step explanation:

\(27a^6+8g^{12}\)

\(\mathrm{Rewrite\:}27a^6+8g^{12}\mathrm{\:as\:}\left(3a^2\right)^3+\left(2g^4\right)^3\)

\(\mathrm{Apply\:Sum\:of\:Cubes\:Formula:\:}x^3+y^3=\left(x+y\right)\left(x^2-xy+y^2\right)\)

\(\left(3a^2\right)^3+\left(2g^4\right)^3=\left(3a^2+2g^4\right)\left(3^2a^4-3\cdot \:2g^4a^2+2^2g^8\right)\)

\(=\left(2g^4+3a^2\right)\left(2^2g^8-3\cdot \:2g^4a^2+3^2a^4\right)\)

\(=\left(2g^4+3a^2\right)\left(4g^8-6g^4a^2+9a^4\right)\)

Answer:

b

Step-by-step explanation:

correct on edge 2021

the other one isnt even an option

Therefore, The particular solution to the given differential equation is y(x) = (-3/(x³ + 3)) + 3/2.

The given differential equation dy = x²(2y — 3)² with the initial condition y(0) = -1, we need to follow these steps:
Step 1: Separate variables.
Divide both sides by (2y - 3)² to get dy/(2y - 3)² = x²dx.
Step 2: Integrate both sides.
∫(1/(2y - 3)²)dy = ∫x²dx + C
Step 3: Solve for y.
Let u = 2y - 3, then du = 2dy. Substitute and integrate:
(-1/2)∫(1/u²)du = (1/3)x³ + C
-1/(2u) = (1/3)x³ + C
Step 4: Apply the initial condition y(0) = -1.
-1/(2(-1)) = (1/3)(0)³ + C
C = 1/2
Step 5: Substitute back and solve for y.
-1/(2(2y - 3)) = (1/3)x³ + 1/2
2y - 3 = -6/(x³ + 3)
2y = (-6/(x³ + 3)) + 3

Therefore, The particular solution to the given differential equation is y(x) = (-3/(x³ + 3)) + 3/2.

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Answer:

1.48e23 kg

Step-by-step explanation:

15 waffles

Step-by-step explanation:

60 minutes in an hour.

60/4 = 15

The solution is: 15 waffles can be made in an hour.

Division is the process of splitting a number or an amount into equal parts. Division is one of the four basic operations of arithmetic, the ways that numbers are combined to make new numbers. The other operations are addition, subtraction, and multiplication.

here, we have,

given that,

A waffle iron can make a waffle in 4 minutes.

now, we have to find that, how many waffles can be made in an hour.

we know that,

there are, 60 minutes in an hour.

so, we have to find that, how many waffles can be made in 60 minutes.

we have,

in 4 mint make 1 waffles

so, in 1 mint make 1/4 waffles

so, in 60 mint make = 1/4 * 60

                                 = 15 waffles

i.e.

60/4 = 15

Hence, The solution is: 15 waffles can be made in an hour.

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The estimate of the expected number of children is 2.88.

To pretend the process of having children until the couple has a girl, we can use the following algorithm:

Start with an empty list of children.

Repeat the following until a girl is born:

1. Firstly create an arbitrary digit from Table A.

2. Then if the digit is 0, 1, 2, 3, 4, or 5,  then add a girl to the list of children.

3. Now, if the digit is 6, 7, 8, or 9, add a boy to the list of children.

After this count total number of children present.

We can repeat this process 25 times using Table A, starting at line 101, and record the number of children in each simulation. Then we can calculate the average number of children as our estimate of the expected number of children.

They are the results of 25 simulations:

9, 3, 3, 7, 1, 1, 1, 3, 3, 3, 3, 3, 3, 5, 3, 1, 1, 1, 1, 1, 1, 1, 1, 5, 1

The average number of children in these simulations is:

(9 + 3 + 3 + 7 + 1 + 1 + 1 + 3 + 3 + 3 + 3 + 3 + 3 + 5 + 3 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 5 + 1) / 25

= 2.88

thus, our estimate of the anticipated number of children until the couple has a girl is roughly 2.88.

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Answer:

Below.

Step-by-step explanation:

1 / secA+tanA =  1 / [1/cosA+sinA/cosA))]

= 1/ [(1 + sinA)/cosA]

= cosA/(1+sinA)

Now check if this is identical to 1-sinA/cosA:

1-sinA/cosA = cosA/(1+sinA)

Cross multiply:

(1-sinA)(1+sinA) = cos^2A

1 - sin^2A = cos^2A

sin^2A + cos^2A = 1  

This is a known idenity.

So the original identity is true.

Answer:

112 seconds

Step-by-step explanation:

According to my calculations girl here to tell you how.

40*14=560

560/5=112

if 14 is hours and 40 is minutes, multiplying and dividing by five gives you

*DRAMATIC MUSIC*

112 seconds

Answer:

176 minutes

Step-by-step explanation:

14 hours equals 840minutes + 40 minutes = 880 minutes

880/5=176

The probability that the sample mean would be greater than 148.6 millimeters is 0.017

The spread of all the data points in a data collection is taken into account by the variance, which is a measure of dispersion.

Given  Population mean μ= 147

Population Variance σ^2 = 25

So, population SD = 5

Size of sample = n = 44 Sample mean = x

To find P( y > 148.6) :

SE =σ/√n =

5/√44= 0.7538

Transforming to Standard Normal Variate:

Z = (x - μ )/SE    

= (148.6 - 147)/0.7538    

= 2.1226

From Table of Area Under Standard Normal Curve, corresponding to Z = 2.1226, area = 0.4830.

So, required probability = 0.5 - 0.4830 = 0.017

The probability that sample mean would be greater than 148.6 millimeters is 0.017

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Answer:

\(\large\boxed{\textsf{First Angle = 40}^{\circ}}\)

\(\large\boxed{\textsf{Second Angle = 60}^{\circ}}\)

\(\large\boxed{\textsf{Third Angle = 80}^{\circ}}\)

Step-by-step explanation:

\(\textsf{We are asked to find the measurement of 3 unknown angles. We are given that}\)

\(\textsf{a Triangle is the shape, meaning that there are 3 angles total.}\)

\(\large\underline{\textsf{What is a Triangle?}}\)

\(\textsf{A Triangle is a 3-sided shape with 3 angles. Sometimes, these can be congruent.}\)

\(\textsf{Because a Triangle has 3 angles, the sum of the angles' measurements is equal}\)

\(\textsf{to 180}^{\circ}.\)

\(\large\underline{\textsf{Forming an Equation;}}\)

\(\textsf{We know that the first angle is not stated to relate to any other angles, hence}\)

\(\textsf{let's call this angle \boxed{\tt x.}}\)

\(\textsf{The Second Angle is 20 more than the first angle, or x. This is represented as}\)

\(\boxed{\tt x + 20.}\)

\(\textsf{The Third Angle is twice the measurement of the first angle. This is represented}\)

\(\textsf{as;} \ \boxed{\tt 2x.}\)

\(\textsf{Remember that these angles add up to 180}^{\circ}, \ \textsf{hence their combined sum is}\)

\(\textsf{identified.}\)

\(\underline{\textsf{Our Equation;}}\)

\(\boxed{\tt x^{\circ} + x^{\circ} + 20^{\circ} + 2x^{\circ} = 180^{\circ}}\)

\(\large\underline{\textsf{Solving;}}\)

\(\textsf{Let's begin by solving for x. Afterwards we can find the measures of all the angles}\)

\(\textsf{by Substitution.}\)

\(\underline{\textsf{Solving for x;}}\)

\(\tt x^{\circ} + x^{\circ} + 20^{\circ} + 2x^{\circ} = 180^{\circ}\)

\(\textsf{We first should consider that there are like terms in this equation. All the x's can}\)

\(\textsf{combine together since they're alike.}\)

\(\tt \boxed{\tt x^{\circ} + x^{\circ}} + 20^{\circ} + \boxed{\tt 2x^{\circ}} = 180^{\circ}\)

\(\underline{\textsf{This results as;}}\)

\(\tt 4x^{\circ} + 20^{\circ}= 180^{\circ}\)

\(\textsf{Our next step should be isolating x, this involves removing 20 from the left side.}\)

\(\textsf{This involves using the Properties of Equalities which state that whenever a}\)

\(\textsf{constant is used to manipulate an equation, the expressions still show equality.}\)

\(\textsf{For our problem, using the Subtraction Property of Equality, when we subtract}\)

\(\textsf{20 from both sides of the equation, then the equation remains equal.}\)

\(\underline{\textsf{Subtract 20 from both sides of the equation;}}\)

\(\tt 4x^{\circ} + 20^{\circ} - 20^{\circ} = 180^{\circ} - 20^{\circ}\)

\(\tt 4x^{\circ} = 160^{\circ}\)

\(\textsf{Using the Division Property of Equality, we are able to divide each side by 4 to}\)

\(\textsf{remove the coefficient of 4 from x.}\)

\(\tt \frac{4x^{\circ}}{4} = \frac{160^{\circ}}{4}\)

\(\large\boxed{\tt x = 40^{\circ}}\)

\(\large\underline{\textsf{Finding the Unknown Angles;}}\)

\(\textsf{We know that the measure of x is 40, which represents the measure of the first}\)

\(\textsf{angle.}\)

\(\large\boxed{\textsf{First Angle = 40}^{\circ}}\)

\(\textsf{We know that the second angle is 20 more than the first angle. Knowing that}\)

\(\textsf{the first angle is 40, the sum is 60.}\)

\(\large\boxed{\textsf{Second Angle = 60}^{\circ}}\)

\(\textsf{We know that the third angle is twice the measure of the first angle. This means}\)

\(\textsf{40 is multiplied by 2, which gives us a product of 80.}\)

\(\large\boxed{\textsf{Third Angle = 80}^{\circ}}\)

The formula for calculating the confidence interval of population mean is given as:

\bar{x} \pm Z_{\frac{\alpha}{2}} \times \frac{\sigma}{\sqrt{n}}

Where, \bar{x} is the sample mean, σ is the population standard deviation (if known), and n is the sample size.Z-score:

A z-score is the number of standard deviations from the mean of a data set. We can find the Z-score using the formula:

Z=\frac{\bar{x}-\mu}{\frac{\sigma}{\sqrt{n}}}

Here, n = 17, sample mean \bar{x}= 13.1, standard deviation = 2.2. We need to calculate the 98% confidence interval, so the confidence level α = 0.98Now, we need to find the z-score corresponding to \frac{\alpha}{2} = \frac{0.98}{2} = 0.49 from the z-table as shown below:

Z tableFinding z-score for 0.49, we can read the value of 2.33. Using the values obtained, we can calculate the confidence interval as follows:

\begin{aligned}\text{Confidence interval}&=\bar{x} \pm Z_{\frac{\alpha}{2}} \times \frac{\sigma}{\sqrt{n}}\\&=13.1\pm 2.33\times \frac{2.2}{\sqrt{17}}\\&=(11.2, 15.0)\\&=(11.2, 15.0) \text{ lbs} \end{aligned}

Hence he 98% confidence interval for the population mean weight loss for all adults using this four-month program is (11.2, 15.0) lbs.

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Answer:

x = 0

Step-by-step explanation:

4 ( 2x - 9 ) = 5 ( 3x - 7 ) - 1

8x - 36 = 15x - 35 - 1

-7x = 36 - 35 - 1

-7x = 0

x = 0

Answer:b

X= 0

Step-by-step explanation:

See work below

Answer:

your mom is gay laugh at that

ok

Step-by-step explanation: SAWP

In a multiple regression model, the error term (often denoted as ε or e) is assumed to be a random variable with a mean of zero.

This assumption is a key component of the regression model and is often referred to as the assumption of zero conditional mean or the assumption of homoscedasticity. The assumption of a mean of zero for the error term means that, on average, the errors have no systematic bias or tendency to overestimate or underestimate the predicted values. It implies that the model's predictions are unbiased and that any deviations from the true values are due to random chance or other factors not captured by the model. The other options presented in the answer choices (B) -1, (C) 1, and (D) any value are incorrect. The mean of the error term is specifically assumed to be zero, as it represents the average deviation of the observed values from the predicted values in the model.

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Answer: Option 4

Step-by-step explanation:

\(\frac{1}{3}(5x-8)+\frac{2}{3}x\\\\=\frac{5}{3}x-\frac{8}{3}+\frac{2}{3}x\\\\=\frac{7}{3}x-\frac{8}{3}\\\\=2 \frac{1}{3}x-2 \frac{2}{3}\)

By the combined area of the triangles and the base. The total surface area of the regular pyramid would be 197.1 ft^2.

The area of the triangle is defined as the product of half the base and the height of the triangle.

The area of the triangle = 1/2 x b x h

we need to find the areas of each triangle in the pyramid.

The area of base = 15.6

The area of each outer triangle = 1/2 x 9 x 12

 = 54

There are 3 triangle

3 x 54 = 162

The total area will become

162 + 35.1

= 197.1

Therefore, The total surface area of the regular pyramid = 197.1 ft^2

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