The image shows a circle with center (4,6) and radius 10 units.

Answer:

EF = 18 in. & m∠F = 134 °

Step-by-step explanation:

Hi there,

In order to find the length of side EF, you should realize that this is an isosceles triangle. We know that two sides and two angles of this type of triangle are equal to each other. We also know that the lengths of the sides opposite of the congruent angles are equal to each other. Thus, we proved that length of side EF is equal to the length of side FG.

Therefore, EF is 18 inches because FG is 18 inches.

In order to find m∠F, you need to know that the sum of the angles in a triangle add up to 180°. You add all of the known angle values and subtract it by 180°.

m∠E + m∠G + m∠F = 180°

23° + 23° + m∠F =  180°

46° + m∠F = 180°

m∠F = 134°

Hope this explanation helps you understand this problem. Cheers.

Answer:

no it's equal to 3/2 because 2 negatives equal a positive number

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

No, it's not equivalent

Step-by-step explanation:

\(-(\frac{3}{2} ) = 1\frac{1}{2\\}\)

\(-\frac{3}{2} = -1\frac{1}{2}\)

Answer: 35. The equation would be y = 17/2x

Answer:

32) yes, linear

33) no

34) yes

Step-by-step explanation:

32) if you look at the difference in the y-values and the difference of the x-values you will see that they all equal 3; for example, 24/8, 21/7, 18/6

33) following same method as for #32, there is not a consistent ratio of change between x-and-y values

34) yes, constant ratio is 10

[ 18  5  2  ] is  the sum of a vector .

What, in the simplest terms, is a vector?

A quantity or phenomena with both magnitude and direction being independent of one another is called a vector.

                           The phrase also describes how such a quantity is represented mathematically or geometrically.

                                  Velocity, momentum, force, electromagnetic fields, and weight are some natural examples of vectors.

Since u₁ , u₂ = 0

So, u₁, u₂ is an orthogonal set is W .

Since orthogonal  vector are linearly independent , it follows that { u₁, u₂} is linearly independent set .

 \(\frac{u_{1} . y}{u_{1} u_{1} } u_{1} + \frac{u_{2}. y }{u_{2}u_{2} } u_{2}\)

\(\frac{19 + 0 - 3}{1 + 0 + 1} [ 1 0 -1 ] + \frac{38 + 1 + 6}{4 + 1 + 4} [ 2 1 2 ]\)

 = 16/2 [ 1 0 1 ]  + 45/9  [ 2 1 2 ]

  = 8 [ 1 0  - 1 ] + 5 [ 2  1   2  ]

  = [ 18  5  2  ]

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Answer: The snake needs to find a heat source to regulate its body temperature

Step-by-step explanation:

Answer:

Snakes maintain homeostasis through their body structures and reptile behavior. They regulate their balance by basking in the sun.

Step-by-step explanation:

The enlargement of the line with coordinate points (11, 9), (10, 6), by a factor of -2 about the point (8, 7), produces an image with coordinate points (2, 3), (4, 9)

Please find attached the image of the line following the enlargement transformation, creates with MS Excel

A transformation is the assignment of a position, shape, or size to an object with an initial position, shape or size.

The points on the graph are; (11, 9), (10, 6)
The scale factor of the enlargement = -2

The center of the enlargement = (8, 7)

The enlargement is performed as follows;

The line is translated to the origin relative to the scale factor, therefore, we get;

The translation of the image = T₍₋₈, ₋₇₎

The image points following the translation are; (11 - 8, 9 - 7) = (3, 2)

(10 - 8, 6 - 7) = (2, -1)

The dilation is then applied using the method for a enlargement about the origin as follows;

Dilation by -2 = -2 × (3, 2) = (-6, -4)

-2 × (2, -1) = (-4, 2)

The points (-6, -4) and (-4, 2) are then translated using the center of dilation according to the rule, T₍₈, ₇₎, to get;

(-6 + 8, -4 + 7) = (2, 3), and (-4 + 8, 2 + 7) = (4, 9)

The coordinates of the image following an enlargement by a scale factor of -2 with the center of enlargement at (8, 7), are;

(2, 3) and  (4, 9)

Please find attached the graph of the line following the enlargement by a scale factor of -2, with the center of enlargement at (8, 7)

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The domain of the relation in the graph is:

{-2, -1, 0, 2, 5}

A relation maps elements from one set (the domain) into elements from another set (the range).

Such that the domain is represented in the horizontal axis.

In the graph, we can see the points:

{(-2, -3), (-1, -1), (0, 3), (2, 1), (5, 2)}

The domain is the set of the first values of these points, then the domain is:

{-2, -1, 0, 2, 5}

The correct option is the first one.

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Answer:

\(\huge\boxed{132.43}\)

Step-by-step explanation:

= 190 % of 69.70

[% means out of 100 and "of" means to "multiply]

= \(\displaystyle \frac{190}{100} * 69.70\)

= 1.9 * 69.70

= 132.43

\(\rule[225]{225}{2}\)

Hope this helped!

Answer:

132.43

Step-by-step explanation:

Calculate the percentage of a number.

For example: 190% of 69.70 = 132.43

Answer:

Step-by-step explanation:

\(g(x) = \frac{3}{2} x + 4 \\ \)

To find g(2), substitute the value of x that's 2 into g(x). That is for every x in g(x) replace it with 2

We have

\(g(2) = \frac{3}{2} \times 2 + 4 \\ = 3 + 4\)

We have the final answer as

Hope this helps you

Using the formula of area of a circle, about 226.08in² has been eaten

The diameter of the pizza is given as 24 inches. To calculate the area of the entire pizza, we need to use the formula for the area of a circle:

Area = π * r²

where π is approximately 3.14 and r is the radius of the circle.

Given that the diameter is 24 inches, the radius (r) would be half of the diameter, which is 12 inches.

Let's calculate the area of the entire pizza first:

Area = 3.14 * 12²

Area = 3.14 * 144

Area ≈ 452.16 square inches

Now, if half of the pizza is consumed, we need to calculate the area of half of the pizza. To do that, we divide the area of the entire pizza by 2:

Area of half of the pizza = 452.16 / 2

Area of half of the pizza ≈ 226.08 square inches

Therefore, if half of the pizza is consumed, approximately 226.08 square inches of pizza would be eaten.

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We have a translation of 3 units to the left and 4 units upwards.

To find the translation, we only need to look at one of the vertices of the triangle.

We can see that the coordinates of B are (4, 1), while the coordinates of the translated point B' are (1, 5)

The translation is given by the difference:

(1, 5) - (4, 1) = (1 - 4, 5 - 1) = (-3, 4)

So the translation is defined by (-3, 4)

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To use the Trapezoid Rule Calculator, enter the function, limits of integration, number of subintervals, and click "Calculate" to get the estimated integral value.

The Trapezoid Rule Calculator can be used to estimate the definite integral of a function using the trapezoidal rule. The calculator can be used in the following ways:

The calculator will display the estimated value of the definite integral along with the absolute error and relative error. You can also use this calculator to check your work if you are doing trapezoidal rule by hand.

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Answer:

then quantity demanded will increase by 3%.

Answer:

Step-by-step explanation:

10 times 10 times 60 = 6000

6000 - (1600 + 2000) = 2,400

Answer:

7200 \(in^3\)

Step-by-step explanation:

volume of the bottom + volume of the middle part + volume of the top part (I'm sorry this is so vague T-T)

\((8*60*10)+(2*40*10)+(8*20*10)= 4800+800+1600=7200\)

F distribution is used with the global test of the regression model to reject the null hypothesis.

The hypothesis test will be conducted using a novel distribution. After the English statistician Sir Ronald Fisher, it is known as the F distribution. A ratio, the F statistic is (a fraction). One set of degrees of freedom is for the denominator, and the other set is for the numerator.

According to the null hypothesis, all group population means are equal. Because it is assumed that the populations are normal and that they have similar variances, the equal means hypothesis indicates that the populations have the same normal distribution. All groups are samples from populations with the same normal distribution, according to the null hypothesis. According to the alternative theory, at least two of the sample groups are drawn from populations with various normal distributions.

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The equation of the plane containing the two parallel lines v₁ = (0, 1, −8) t(6, 7, −5) and v₂ = (8, −1, 0) t(6, 7, −5) is 6x + 6y + 3z = 0.

What are parallel lines?

Parallel lines are coplanar infinite straight lines that do not intersect at any point in geometry. Parallel planes are planes that never meet in the same three-dimensional space. Parallel curves are those that do not touch or intersect and maintain a constant minimum distance.

To find an equation for the plane containing the two parallel lines v₁ = (0, 1, −8) t(6, 7, −5) and v₂ = (8, −1, 0) t(6, 7, −5),

We use the equation of a line: v = v₀ + tv₁

where v₀ and v₁ are points on the line and t is a real number.

Substitute the given points in for v₀ and v₁: v = (0, 1, −8) + t(6, 7, −5)

This equation of the plane is Ax + By + Cz = D, where A, B, C, and D are constants to be determined.

Equate the components:

0x + 1y - 8z = D....(1)

6x + 7y - 5z = D...(2)

Now, we subtract equation (1) from (2) and we get

6x - 0x + 7y - 1y - 5z + 8z = 0

6x + 6y + 3z = 0

Hence, the equation of the plane containing the two parallel lines v₁ = (0, 1, −8) t(6, 7, −5) and v₂ = (8, −1, 0) t(6, 7, −5) is 6x + 6y + 3z = 0.

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Answer:

\(y-9 = \frac{15}{7} (x-8)\)

Step-by-step explanation:

Point-slope form is represented by \(y-y_1 = m (x-x_1)\). To write an equation with it, we need the slope of the line and a point the line crosses through. We already have at least one point the line crosses through, so let's figure out the slope.

To find the slope, use the slope formula \(\frac{y_2-y_1}{x_2-x_1}\). \(x_1\) and \(y_1\) represent the x and y values of one point the line crosses, and \(x_2\) and \(y_2\) represent the x and y values of another point the line crosses. So, using the x and y values of (1, -6) and (8, 9), substitute them into the formula and solve:

\(\frac{(9)-(-6)}{(8)-(1)} \\= \frac{9+6}{8-1} \\= \frac{15}{7}\)

Thus, the slope is \(\frac{15}{7}\).

2) Now, using the point-slope form of  \(y-y_1 = m (x-x_1)\),  substitute \(m\), \(x_1\), and \(y_1\) for real values in order to write an equation in point-slope form. The \(m\) represents the slope, so substitute \(\frac{15}{7}\) in its place. The \(x_1\) and \(y_1\) represent the x and y values of one point on the line. So, choose any one of the points given - either one is fine - and substitute its x and y values for \(x_1\) and \(y_1\). (I chose (8,9)). This gives the following equation and answer:

\(y-9 = \frac{15}{7} (x-8)\)

The probability question you asked is incomplete, so I will make an assumption based on the information provided. If you are asking about the probability of selecting a clarinet or a French horn player from the school band,

we can calculate it as follows:

1. Calculate the total number of members in the band: 36.
2. Calculate the total number of clarinets: 5.
3. Calculate the total number of French horns: 2.
4. Add the number of clarinets and French horns together: 5 + 2 = 7.
5. Divide the total number of clarinets and French horns by the total number of band members: 7 / 36.
6. Simplify the fraction if needed.
  - In decimal form, the probability would be 0.1944 (rounded to four decimal places) or 19.44% (rounded to two decimal places).

The probability of selecting a clarinet or a French horn player from the school band is approximately 0.1944 or 19.44%.

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Answer:

blank 1: x-6

blank 2: y+12

blank 3: translation

Step-by-step explanation:

Answer:

it is kinda confusing but i think the answer might be (6,12)

Step-by-step explanation:

For a poisson distribution of variable that represents total number of naps of both Americans together with mean, the probability that the total number of naps for the two Americans during a month, is zero is equal to the 0.00034.

There is a study of survey of Amardeep concluded that more than half of all Americans sleep on the job. The number of naps of american works follows Possion distribution with mean ( λ) = 4 naps. We have that if X and Y are two Independent poisson random variables with means λ₁ and λ₂, then the random varialde (X + Y) is also poisson random variable with mean λ₁ + λ₂.

In Our problem, we consider two Americans. Let X₁ and X₂ be two poison random variables that represent Number of naps of the two Americans with λ₁ = 4, λ₂ = 4. Then X₁ + X₂ = X is also a poisson random variable that represents total number of naps of both Americans together with mean = X₁ + X₂ = 4+4 = 8 in 8 naps per month. So, \( X \: \tilde \: \: Possion ( \lambda = 8)\). Now, we need to calculate the probability that the total number of naps for the two americans during a month, is zero \(P( X = 0) = \frac{ \lambda^x e^{ - \lambda}}{ x!}\)

\(= \frac{ 8^0 e^{ -8}}{ 0!}\)

\(= e^{ - 8 } = 0.00034\)

Hence, required value is 0.00034.

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complete question:

The mattress company Amardeep recently conducted a survey and concluded that more than half of all Americans sleep on the job, but the type of work and salary affect how often people grab some shut eye. Suppose that the mean number of naps per month on the job by a randomly selected American worker is four. Suppose two American workers are selected at random. What is the probability that the total number of naps for the two Americans during a month, is zero? Give your answers to four decimal places.

Answer:

1/3

1/2

1/6

0

Step-by-step explanation:

Answer:

a. 2/6 b.1/2 c.1/6

Hope this helped!

Amy needs 78 inches of fabric for her pants if she follows the given rule.

Define inches ?

An inch is a unit of length that is equal to exactly 2.54 centimeters. It is commonly used in the United States and other countries that use the Imperial system of measurement.

To determine how much fabric Amy needs for her pants, we can use the rule provided to us. The first step is to measure from the waist to the finished length of the pants, which in this case is 35 inches.

Next, we need to double this measurement, which gives us 2 * 35 = 70 inches. This is because we need to account for the fabric that will make up both the front and back of the pants.

Finally, we need to add 8 inches to the doubled measurement, which gives us 70 + 8 = 78 inches. This additional 8 inches is to account for any seams, hems, or other finishing touches that may be required to complete the pants.

Therefore, Amy needs 78 inches of fabric for her pants.

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The integral as an equivalent integral are as follows.

a) ∫_{-6}^{6} ∫_{0}^{36} ∫_{x²}^{36} (-y) dy dz dx

b)  ∫_{0}^{36} ∫_{-6}^{6} ∫_{x²}^{36} (-y) dy dx dz

c)  ∫_{0}^{36} ∫_{x²}^{36} ∫_{-6}^{6} (-y) dx dy dz

e) ∫_{x²}^{36} ∫_{-6}^{6} ∫_{0}^{36} (-y) dz dx dy

What is an integral ?

Mathematicians define an integral as either a number equal to the area under the graph of a function for a certain interval or as a new function whose derivative is the original function (indefinite integral).

We write the equivalent integrals for given integral,

we get:

a) ∫_{-6}^{6} ∫_{0}^{36} ∫_{x²}^{36} (-y) dy dz dx

b)  ∫_{0}^{36} ∫_{-6}^{6} ∫_{x²}^{36} (-y) dy dx dz

c)  ∫_{0}^{36} ∫_{x²}^{36} ∫_{-6}^{6} (-y) dx dy dz

e) ∫_{x²}^{36} ∫_{-6}^{6} ∫_{0}^{36} (-y) dz dx dy

We changed places of integration, and changed boundaries for certain integrals.

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question:

Here is the region of integration of the integral Integral from negative 6 to 6 Integral from x squared to 36 Integral from 0 to 36 minus y dz dy dx. Rewrite the integral as an equivalent integral in the following orders. a. dy dz dx by. dy dx dz c. dx dy dz d. dx dz dy e. dz dx dy

Solving a system of equations we can see that:

First, let's define the variables:

With the given information we can write 3 equations:

A = (3/4)*V

V = K - $18

A + V + K = $386.4

Then we need to solve a system of equations:

A = (3/4)*V

V = K - $18

A + V + K = $386.4

We can first replace the first equation into the third to get:

(3/4)*V + V + K = $386.4

And rewrite the second to get:

k = V + $18

And replace that in the other equation:

(3/4)*V + V + V + $18 = $386.4

Now we can solve this for V:

V*(1 + 1 + 3/4) = $386.4 - $18

V*(11/4) = $368.40

V = (4/11)*$368.40 = $133.96

Now that we know the value of V, we can replace it in:

K = V + $18 = $133.96 + $18 = $151.96

A = (3/4)*V = (3/4)*$133.96 = $100.47

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a. i) The given expression is:(2+ 3i) (4 - 5i)= 8 - 10i + 12i - 15i²= 8 + 2i + 15= 23 + 2iThus, (2+ 3i) (4 - 5i) simplifies to 23 + 2i.b) The given expression is:(124) + (-5-81)= 124 - 5 - 81= 118 - 81= 37 Thus, (124) + (-5-81) simplifies to 37

The given expression is:

(2+i) (3-21)= 6 - 42i + 3i - 21i²= 6 - 39i + 21= 27 - 39i

Thus, (2+i) (3-21) simplifies to 27 - 39i.d) The given expression is:(2 i)(-3+ 4i)= -6i + 8i²= 8i² - 6i= -8 - 6iThus, (2 i)(-3+ 4i) simplifies to -8 - 6i.The long answer that includes all the simplification results is given below:a) Simplify: (2+ 3i) (4 - 5i)The given expression is:

(2+ 3i) (4 - 5i)= 8 - 10i + 12i - 15i²= 8 + 2i + 15= 23 + 2i

Thus, (2+ 3i) (4 - 5i) simplifies to 23 + 2i.b)

Simplify: (124) + (-5-81)The given expression is:

(124) + (-5-81)= 124 - 5 - 81= 118 - 81= 37

Thus, (124) + (-5-81) simplifies to 37.c) Simplify: (2+i) (3-21)The given expression is:(2+i) (3-21)= 6 - 42i + 3i - 21i²= 6 - 39i + 21= 27 - 39iThus, (2+i) (3-21) simplifies to 27 - 39i.d) Simplify: (2 i)(-3+ 4i)The given expression is:

(2 i)(-3+ 4i)= -6i + 8i²= 8i² - 6i= -8 - 6i

Thus, (2 i)(-3+ 4i) simplifies to -8 - 6i.

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The interval of definition for y2(x) will be the same as y1(x), which is the entire real line (-∞, ∞).

To verify that y1(x) = x is a solution of the given differential equation, we substitute y1(x) into the equation:

x(y1″) − x(y1′) + y1 = 0

Since y1(x) = x, we have:

x(x″) − x(x′) + x = 0

Differentiating y1(x) twice:

y1′(x) = 1

y1″(x) = 0

Substituting these derivatives back into the equation:

x(0) − x(1) + x = 0

Simplifying:

-x + x + x = 0

The equation holds true, so y1(x) = x is indeed a solution.

To find a second solution using reduction of order, we assume a second solution of the form y2(x) = u(x) * y1(x), where u(x) is an unknown function.

Substituting y2(x) into the original differential equation:

x(y2″) − x(y2′) + y2 = 0

x(u''(x)y1(x) + 2u'(x)y1′(x) + u(x)y1″(x)) - x(u'(x)y1(x) + u(x)y1′(x)) + u(x)y1(x) = 0

Expanding and rearranging terms:

xu''(x)y1(x) + 2xu'(x)y1′(x) + xu(x)y1″(x) - xu'(x)y1(x) - xu(x)y1′(x) + u(x)y1(x) = 0

Since y1(x) = x, y1′(x) = 1, and y1″(x) = 0, we have:

xu''(x) + 2xu'(x) - xu'(x) + u(x)x = 0

Simplifying:

xu''(x) + xu'(x) + u(x)x = 0

Dividing through by x:

u''(x) + u'(x) + u(x) = 0

This is now a first-order linear homogeneous differential equation for u(x). We can solve this equation using various methods, such as power series or integrating factors, to find a general solution for u(x) and therefore obtain a second solution y2(x).

Conjecture for the interval of definition of y2(x):

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the answer for X is A) 5m.