what transformation is represented by the rule (x, y)→(−x, − y)? reflection across the y-axis reflection across the , y, -axis reflection across the x-axis reflection across the , x, -axis rotation of 90° counterclockwise about the origin rotation of 90° counterclockwise about the origin rotation of 180° about the origin

Answer:

5⁻² = 1 / 5² = 1/25 and 2³ = 2 * 2 * 2 = 8 so the answer is 1/25 / 8 = 1/200.

Probability that the sample mean hardness for a random sample of 44 pins is at least 51 = 0.1%

Rockwell hardness of pins of a certain type are known to have a

Mean value = μ = 50

Standard deviation = 1.8

n= 44

X = 51

Using Central Limit Theorem:

Z = (X- μ)/s

s =  \(1.8/\sqrt{n}\)

s = \(1.8/\sqrt{44}\)

s = 0.271

Z = (51-50)/0.271

Z = 1/0.271

Z = 3.69

Z = 3.7 has a p-value of 0.9999

so, 1-0.9999 = 0.0001

Probability that the sample mean hardness for a random sample of 44 pins is at least 51 = 0.1%

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Answer:

-1

Step-by-step explanation:

-4(y – 2) = 12

-4y + 8 = 12

-4y = 12-8

y = 4/ -4 = - 1

I hope im right!!

Answer:

Hmm it has to be to divide the coordinates by 2

Step-by-step explanation:

Lets say you have (10, 8), and the other coordinate is (0, 0). If you divide 10 by 2 you get 5, and 8 by 2 you get 4, so what you get is (5, 4), which is the midpoint.

The area of base is A = 10 m^2.

The volume of cone is V = 10.

The formula for the volume of cone in terms of area of base is,

Substitute the values in the formula to determine the height of cone.

So height of the cone is 3.

Answer:

See answers below

Step-by-step explanation:

1) The typr of triangle in a semicircle is a right angle. Hence the measure of  m<ABC  is 90degrees

2) m<DEF = 1/2(144)

m<DEF = 144/2

m<DEF = 72degrees

3) From the trinagle

4x+3 + x+7 +90 ==180

5x + 100 = 180

5x = 180-100

5x = 80

x = 80/5

x = 16

<QRD =  x+7

m<QRD = 16 + 7

m<QRD = 23degrees

4)  Angle in the same segment are equal

5x-37= 3x+1

5x - 3x = 1+37

2x = 38

x = 38/2

x =19

arc NM = 2m<P

arc NM = 2(3x+1)

arc NM = 2(3(19)+1)

arc NM = 2(58)

arcNM = 116degrees

Take the square root of each side.

\(\sf \sqrt{x^{2} } =\sqrt{25} \\\\\\ x=\± 5\)

The two positive numbers are 6 and 11

From the question, we understand that:

There are two positive numbers

Represent these numbers with x and y

So, we have the following equations

x = y - 5

6x - 3y = 3

Substitute x = y - 5 in 6x - 3y = 3

6(y - 5) - 3y = 3

Open the brackets

6y - 30 - 3y = 3

Evaluate the like terms

3y = 33

Divide by 3

y = 11

Substitute y = 11 in x = y - 5

x = 11 - 5

So, we have

x = 6

hence, the numbers are 6 and 11

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Answer:

An open circle at 2, and an arrow facing left.

Answer:

The 2nd one is the answer

Step-by-step explanation:

because All rational numbers are integers

Answer:

i think its B

Step-by-step explanation:

Answer:

sequence rule is + negative integers. Next 3 terms are -9,-15,-22

: To find the area of the plane determined by the two vectors U and V, which are part of the parallelepiped determined by U, V, and W, we can use the formula for the magnitude of the cross product of two vectors.

The area of the plane determined by U and V is equal to the magnitude of their cross-product. The cross product of U and V can be calculated by taking the determinant of the 3x3 matrix formed by the components of U and V.

In this case, the cross product is (4, -5, -1). The magnitude of this vector is √(4² + (-5)² + (-1)²) = √42. Therefore, the area of the plane determined by U and V is √42 units.

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Answer:

a) 18.85 or 19

b) 84.82 or 85

The correct answer is D. f(x) = 11x - 4 and g(x) = (x + 4)/11

To determine which pair of functions are inverses of each other, we need to check if the composition of the functions results in the identity function, which is f(g(x)) = x and g(f(x)) = x.

Let's test each option:

Option A:

f(x) = x/2 + 15

g(x) = 12x - 15

f(g(x)) = (12x - 15)/2 + 15 = 6x - 7.5 + 15 = 6x + 7.5 ≠ x

g(f(x)) = 12(x/2 + 15) - 15 = 6x + 180 - 15 = 6x + 165 ≠ x

Option B:

f(x) = ∛3x

g(x) = (x/3)^3 = x^3/27

f(g(x)) = ∛3(x^3/27) = ∛(x^3/9) = x/∛9 ≠ x

g(f(x)) = (∛3x/3)^3 = (x/3)^3 = x^3/27 = x/27 ≠ x

Option C:

f(x) = 3/x - 10

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

f(g(x)) = 3/((x + 10)/3) - 10 = 9/(x + 10) - 10 = 9/(x + 10) - 10(x + 10)/(x + 10) = (9 - 10(x + 10))/(x + 10) ≠ x

g(f(x)) = (3/x - 10 + 10)/3 = 3/x ≠ x

Option D:

f(x) = 11x - 4

g(x) = (x + 4)/11

f(g(x)) = 11((x + 4)/11) - 4 = x + 4 - 4 = x ≠ x

g(f(x)) = ((11x - 4) + 4)/11 = 11x/11 = x

Based on the calculations, only Option D, where f(x) = 11x - 4 and g(x) = (x + 4)/11, satisfies the condition for being inverses of each other. Therefore, the correct answer is:

D. f(x) = 11x - 4 and g(x) = (x + 4)/11

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First, list the factors of -36.

-1 , 36

1, -36

-2, 18

2,-18

-3, 12

3,-12

-4,9

4,-9

-6,6

now, find the 2 numbers that added equal -5

-1 + 36 = 35

1 - 36 = -35

-2 + 18 = 16

2+ (-8) = -16

-3 + 12 = 9

3 + (-12) = -9

-4+9 = 5

4+ (-9) = -5

4 and -9

The value of ML = 3, using the mid-point theorem of triangles.

According to the midpoint theorem, "the line segment of a triangle crossing the midpoints of two sides of the triangle is said to be parallel to its third side and also half the length of the third side."

In the question, we are given that triangle ABC is an equilateral triangle, and L, M, and N are the midpoints of BC, AB, and CA respectively.

Thus, by the midpoint theorem, we can say that:

Assuming AB = BC = AC = x units, we get:

Thus, the triangle LMN is an equilateral triangle.

Thus, MN = ML = NL.

Given MN = 3, we can write the value of ML = 3.

Thus, the value of ML = 3, using the mid-point theorem of triangles.

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The given question is in Spanish. The question in English is:

"Triangle ABC is equilateral and L, M, and N are the midpoints of BC, AB, and CA respectively. If MN = 3, what is the value of ML?"

Answer:

The answer is C.

Answer:

37/8 (fraction) or 4.625 (decimal) or 4 5/8 (mixed number)

Step-by-step explanation:

The linear model for the price of a home P=2,000t+97,000

if 1980 -> t=0 then, 1986 -> t=6 (six years later).

The two points are (t, price) -> (0,97000) and (6,109000)

we want an equation in the form y=mx+b,

the y-intercept(b) is the y=p value when x =tis 0: so b=

m is the slope: m={{y2-y1}/{x2-x1}}={{t2 - t1}/{P2 - P1}}

given two points

(t, P) = (0, 97k) and (6, 109k)

slope = (97 - 109)/(0 - 6)=2

P - 97 = 2(t - 0) < point-slope form

P = 2t + 97 < in thousands

P = 2,000t + 97,000

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The equation to solve for W is W = (P-2L)/2.

According to the question,

We have the following information:

P = 2L + 2W

Now, we have to solve this equation for W.

Subtracting 2L from both sides of the equation will give us the following expression:

P-2L = 2W

Now, we will divide both sides of the equation by 2. And we will have the following expression:

(P-2L)/2 = W

(More to know: now, in this equation, if the value of P and L are given then we can use this equation to find the value of W.)

Hence, the equation to solve for W is W = (P-2L)/2.

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Finding a solution of an equation means determining the value(s) that make the equation true. This is achieved by manipulating the equation to isolate the variable and solve for its value(s). The methods for finding solutions may vary depending on the type of equation.

Finding a solution of an equation means finding a value or values that make the equation true. An equation is a mathematical statement that contains an equals sign (=), and it states that two expressions are equal. The solution(s) of an equation are the value(s) that satisfy the equation and make it true.

To find a solution of an equation, we need to manipulate the equation to isolate the variable on one side of the equals sign. This involves performing the same operation to both sides of the equation in order to maintain equality. By simplifying the equation, we can solve for the variable and determine its value(s).

There are different types of equations, such as linear equations, quadratic equations, and exponential equations. The methods for finding solutions may vary depending on the type of equation.

For linear equations, we often use techniques like addition, subtraction, multiplication, and division to isolate the variable. Quadratic equations involve solving for the variable using techniques like factoring, completing the square, or using the quadratic formula. Exponential equations involve taking logarithms or using exponential properties to find the variable.

It's important to note that an equation may have one solution, multiple solutions, or no solutions at all. The solution(s) can be a specific value, a range of values, or even an expression.

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Answer:

0

Step-by-step explanation:

Answer:

Hope the picture will help you.......

Answer:

Step-by-step explanation:

\( \frac{3 \times 2}{2 \times 2} = \frac{6}{4} \\ \\ \frac{6}{4} \: \: is \: not \: equal \: to \: \: \: \: \frac{6}{5} \)

The ratio 3 / 2 is multiplied by 2 on both the denominator and numerator to get the value 6 / 4, but the denominator part is not equal to 5, hence  6/5 is not equivalent to 3/2, so option A is correct.

It is the comparison of one quantity with another. For example, if your weight is 30 kg and your father's weight is 90 kg, then the ratio of weight is 1:3.

Given:

6 / 5 and 3 / 2

As you can see the numerator of 3 / 2 is multiplied by 2 to get the value 6, so the denomination should also be multiplied by the number 2,

(3 × 2 ) / (2 × 2)

6 / 4

But the result came as 4 on the numerator,

Thus, 6 / 5 and 3 / 2 are not equivalent.

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The data includes a concave mirror with a radius of curvature of +31.5 cm and magnification of m = 3.40. The formula for magnification is m = v/u, and the focal length is f = r/2. Substituting the values, we get u = v/m, and using the mirror formula, the distance of the object from the mirror is 10.15 cm.

Given data: Radius of curvature of a concave mirror, r = +31.5 cm Magnification produced by the mirror, m = 3.40

We know that the formula for magnification is given by:

m = v/u where, v = the distance of the image from the mirror u = the distance of the object from the mirror We also know that the formula for the focal length of the mirror is given by :

f = r/2where,f = focal length of the mirror

Using the mirror formula:1/f = 1/v - 1/u

We know that a concave mirror has a positive focal length, so we can replace f with r/2.

We can now simplify the equation to get:1/(r/2) = 1/v - 1/u2/r = 1/v - 1/u

Also, from the given data, we have :m = v/u

Substituting the value of v/u in terms of m, we get: u/v = 1/m

So, u = v/m Substituting the value of u in terms of v/m in the previous equation, we get:2/r = 1/v - m/v Substituting the given values of r and m in the above equation, we get:2/31.5 = 1/v - 3.4/v Solving for v, we get: v = 22.6 cm Now that we know the distance of the image from the mirror, we can use the mirror formula to find the distance of the object from the mirror.1/f = 1/v - 1/u

Substituting the given values of r and v, we get:1/(31.5/2) = 1/22.6 - 1/u Solving for u, we get :u = 10.15 cm

Therefore, the distance of the mirror from the face is 10.15 cm. The units are centimeters (cm).Answer: 10.15 cm.

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The propagated error in the relative error in the answer for f l (z) is |(δx + 4δy)| / |x + 4y|.

The propagated error in the relative error in for f l (z) can be calculated as follows:

Therefore, the propagated error in the relative error in the answer for f l (z) is |(δx + 4δy)| / |x + 4y|.

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Answer:

SA=408cm

Step-by-step explanation:

We kknow that the formula is SA=2(wl+hl+hw)

then we input the numbers

and add and mltiply

...

few moments later after calculating**

...

voila! We get out surface area as 408cm! hope this helps! xoxo -hufflepuff

Answer:

87*0.5 = 43.5

43.5

Step-by-step explanation:

Answer:

3.74

Step-by-step explanation: