Which expression is equivalent to (m^-2n^-3)^-4

The mean can only be used with interval/ratio level data.

what is  ratio data ?

Ratio data is a form of quantitative (numeric) data. It measures variables on a continuous scale, with an equal distance between adjacent values. While it shares these features with interval data (another type of quantitative data), a distinguishing property of ratio data is that it has a 'true zero.

What are mean , median and mode?

The mean (average) of a data set is found by adding all numbers in the data set and then dividing by the number of values in the set. The median is the middle value when a data set is ordered from least to greatest. The mode is the number that occurs most often in a data set.

Hence, the mean can only be used with interval/ratio level data.

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Yes, it is possible for a line to be tangent to a circle at a point.

If a line is tangent to a circle at a point, it means that the line touches the circle at that point but does not intersect the circle at any other point. The line is perpendicular to the radius of the circle at the point of tangency.

In this case, the line QR is tangent to circle P at point Q. This means that the line QR touches the circle P at point Q, but does not intersect the circle P at any other point. The line QR is also perpendicular to the radius of circle P at point Q.

In below diagram QR is tangent to circle P at point Q. The line QR is perpendicular to the radius of circle P at point Q, indicated by the right angle at Q.

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Answer:

peanut butter jelly

Step-by-step explanation:

I love that!

The value of the expression 3 ¹/₅ ÷ 1/3 will be 9.6 or 48/5.

Algebra is the study of algebraic expressions, while logic is the manipulation of those concepts.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to answer the problem correctly and precisely.

The numbers are given below.

3 ¹/₅ and 1/3

Convert the mixed fraction number into a fraction number. Then we have

3 ¹/₅ = 16 / 5

Then the division of the numbers 16/5 and 1/3 will be given by putting a division sign between them. Then we have

⇒ 16/5 ÷ 1/3

⇒ (16/5) / (1/3)

⇒ (16/5) x (3)

⇒ 48/5

⇒ 9.6

The value of the expression 3 ¹/₅ ÷ 1/3 will be 9.6 or 48/5.

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Answer:

z = 22

Step-by-step explanation:

Because we are given that angle measures TUW and VUW are the same, we can assume that both triangles are the same since they also have 90 degree angles and both their third angles are equal to 54. (I found that out by taking 180 degrees which is the total angle measure of all triangles, and subtracted it by 90 and 36).

Since they are the same, that means that side TW is the same length as side VW. With this information we can set up an expression:

2z = z + 22

Now, all we have to do is solve for z

2z = z + 22

-z   - z

z = 22

The equation for the normal line B gives us :

L: (x,y,z) = (0,0,7) + t(1, 1, 1), t ∈ R

Full question is:

Find equations of the tangent plane and the normal line to the given surface at the specified point. x + y + z = 7e(xyz) at a specified point (0, 0, 7)

If we have a level surface, then it will give us

f(x,y,z) = x+y+z = 7e(xyz). where f is the function of the x, y, and z coordinates.

Now let us calculate the ∇ gradient of f at point (0,0,7):

∇ = (fx,fy,fz) = (1−7yz,1−7xz,1−7xy)

= (1, 1, 1)

We get the equation for the tangent plane A:

A: 1(x−0) + 1(y−0) + 1(z−7)=0

This can also be written as:

x+y+z = 7 ------------------------------------------------------------------(a)

The equation for the normal line B gives us :

L: (x,y,z) = (0,0,7) + t(1, 1, 1), t ∈ R --------------------------------(b)

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The exact length of the polar curve in this problem is given as follows:

320,597 units.

The definition of a polar curve is given as follows:

r(θ).

Then the length of the curve over an interval a ≤ θ ≤ b is given by the definite integral presented as follows:

[tex]L = \int_{a}^{b} \sqrt{r^2 + \left(\frac{dr}{d\theta}\right)^2} d\theta[/tex]

The curve in this problem is given as follows:

[tex]r = e^{2\theta}[/tex]

The derivative is given as follows:

[tex]\frac{dr}{d\theta} = 2e^{2\theta}[/tex]

Then the arc length is given by the integral presented as follows:

[tex]L = \int_{0}^{2\pi} \sqrt{e^{4\theta} + 4e^{4\theta}} d\theta[/tex]

[tex]L = \int_{0}^{2\pi} \sqrt{5e^{4\theta}} d\theta[/tex]

[tex]L = \sqrt{5}(\int_{0}^{2\pi} e^{2\theta} d\theta)[/tex]

[tex]L = \frac{\sqrt{5}}{2}(e^{2\theta})|_{\theta = 0}^{\theta = 2\pi}[/tex]

Applying the Fundamental Theorem of Calculus to solve the double integral, the length of the arc is givena s follows:

[tex]L = \frac{\sqrt{5}}{2}(e^{4\pi} - 1)[/tex]

L = 320,597 units.

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The equation is false (we can remove the dependence with the variable x) that is why the equation has no solutions.

Here we have the following linear equation:

5 - 4x - 7 - 10x = -8x - 4 - 6x - 10

We want to see why we don't have any solutions, to check that, we need to simplify both sides of the equation. Let's start by grouping like terms:

5 - 4x - 7 - 10x = -8x - 4 - 6x - 10

(5 - 7) + (-4x - 10x) = (-4 - 10) + (-8x - 6x)

-2 - 14x = -14 - 14x

Notice that now we can add 14x in both sides of the equation, then we will get:

-2 -14x + 14x = -14 - 14x + 14x

-2 = -14

So we have a false equation, this happens because the equation does not truly depend of the value of x.

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The Correct answer is A. (-4,1) ordered pair generated by this model should be discarded because the values are unreasonable.

In algebra, a quadratic equation (from Latin quadratus 'rectangular') is any equation that can be rearranged in well-known form as ax²+bx+c=0 Where x represents an unknown value, and a, b, and c constitute recognized numbers.

One supposes usually that a ≠ zero; the one's equations with a = zero are taken into consideration degenerate because the equation then will become linear or even simpler. The numbers a, b, and c are the coefficients of the equation and can be prominent with the aid of calling them, respectively, the quadratic coefficient, the linear coefficient, and the consistent or loose time period.

The values of x that satisfy the equation are referred to as answers to the equation, and roots or zeros of the expression on its left-hand aspect. A quadratic equation has at most two answers. If there is handiest one solution, one says that it's miles a double root. If all the coefficients are real numbers, there are both actual solutions, a single actual double root, or two complicated answers which can be complicated conjugates of each other.

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Complete Question:

Louis used a quadratic equation to model the height, y, of a falling object x seconds after it is dropped. which ordered pair generated by this model should be discarded because the values are unreasonable?

The required graph of the inequality has been shown and the solution is; 8 Nickels  and 12 dimes.

Inequality can be defined as the relation of the equation possessing the symbol of ( ≤, ≥, <, >).

Let the number of nickels be x and let the number of dimes be y,

We are told that Addison has x dimes and y nickels, having a minimum of 20 coins worth at most $1.60 combined. Thus, we can generate the equations as;

x + y = 20

x = 20 - y - - - - (1)

0.05x + 0.10y ≤ 1.60 - - - -(2)

We are also told that no less than 4 of the coins are dimes. Thus;

x ≥ 4

From the graph, one solution is given as 8 Nickels and 12 dimes.

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The completed statement obtained using the proportional relationship between the recipes and the number of bags of snack mix made are presented as follows;'

A proportional relationship is one in which the output variable is a constant multiple of the input variable.

The possible recipe to make 6 bags of snacks obtained froma similar question is presented as follows;

3 cups of granola

1 cup of raisins

1.5 cup of almonds

0.5 cup of cranberries

0.75 cup of chocolate chips

The evaluation of the possible statements in the question that requires completion using proportional relationships of the recipe, are presented as follows;

1. To make 18 bags of snack mix, Sherry needs ___ cups of almonds

18 = 3 × 6

Therefore, the amount ingredients required to make 18 bags of the snack mix is 3 times the amount of ingredients in the recipe, which indicates;

The number of cups of almonds Sherry needs = 3 × 1.5 = 4.5

2. Sherry needs 6 cups of granola to make ___ bags of the snacks

The number of granola required for 6 bags = 3 cups

6 = 2 × 3

The number of bags of the snack mix 6 cups of granola can make is twice the number made by 3 cups, of granola or 2 × 6 = 12 bags of snack mix.

3. If Sherry uses 1 cup of cranberries, she will need to use ___ cups of resins

The number of cups of cranberries in the recipe = 0.5 cups

Number of cups of resins in the recipe = 1 cup of resin

Therefore, 1 cup of resin is required for 0.5 cups of cranberries

2 × 1 = 2 cups of resins will be required for 2 × 0.5 = 1 cup of cranberries

4. The recipe will make ___ bags of snack mix if Sherry  uses only 1 cup of granola

3 cups of granola are required for 6 bags of snack mix

Therefore; 3/3 = 1 cup of granola will be required for 6/3 = 2 bags of the snack mix

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The probability that the ladybug will be at position 1 at time t+1 is ((1/2)*(12/50) + (1/2)*(16/50)) = 14/50 = 0.28.

Information on possibility of occurrence is provided by probability. For instance, meteorologists can forecast the likelihood of rain by looking at weather patterns. Probability theory is utilized in epidemiology to comprehend how exposures and the risk of health impacts are related.

The probability is computed by dividing the total number of outcomes by the number of possible ways the event could occur. Probability and odds are two separate ideas. Odds are calculated by dividing the likelihood that something will occur by the likelihood that it won't.

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The equation of the line in slope-intercept form is y = 0.5x + 1

From the question, we have the following parameters that can be used in our computation:

Points = (0, 1) and (-4, -1)

A linear equation is represented as

y = mx + c

Where

c = y when x = 0

m = slope

This means that

c = 1

So, we have the following representation

y = mx + 1

At (-4, -1), we have

-1 = -4m + 1

This gives

-4m = -2

Divide by -4

m = 0.5

So, we have

y = 0.5x + 1

Hence, the equation  is y = 0.5x + 1

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The probability that Steph Curry makes the first 2 free throws and misses the last throw is 81/1000

Let A be the event that Steph Curry makes the free throw.

Let B be the event that Stech Curry does not make the free throw.

According to the problem,

P(A) = 90%

= 9/10

Since B is the complement of A,

P(B) = 1 - P(A)

= 1/10

Hee, Steph Curry gets 3 free throws. Hence, the probability that he makes the first 2 throws while he misses the third one is

P(A) X P(A) X P(B)

= 9/10 X 9/10 X 1/10

= 81/1000

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Answer: The cost of a ticket for an adult is $12 while for children it is $10.

Step-by-step explanation:

Let's assume that cost for adults is A while for children it is C

Now,

2 adults and 4 children spend $64.

2A + 4C = 64

1 adult and 3 children spend $42.

A + 3C = 42

Multiply by 2

2A + 6C = 84

By subtracting equations

6C - 4C = 84 - 64

2C = 20

C = 10

A = 42 - 3(10)

A = 12

Hence "The cost of a ticket for an adult is $12 while for children it is $10".

The measure of an exterior angle supplementary to one of the base angles of this isosceles triangle is 2 * (4x + 5)° = 8x + 10°.

What is an isosceles triangle?

An isosceles triangle, therefore, has both two equal sides and two equal angles. The name derives from the Greek iso (same) and skelos (leg)

In an isosceles triangle, the two base angles are equal. Therefore, the measure of each base angle is (4x + 5)°.

An exterior angle of a triangle is supplementary to one of the base angles if it forms a straight line with the base angle. The measure of an exterior angle of a triangle is equal to the sum of the measures of the two base angles.

Therefore, the measure of an exterior angle supplementary to one of the base angles of this isosceles triangle is 2 * (4x + 5)° = 8x + 10°.

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Answer:

Correct answer is ([7],[5])

Step-by-step explanation:

For the vertex form of the parabola, y = a(x – h)2 + k, the coordinates (h, k) of the vertex are:

(h, k) = (-b/2a, -D/4a)

where,

a is the coefficient of x2,

b is the coefficient of x,

D = b2 – 4ac is the discriminant of the standard form y = ax2 + bx + c.

The polynomial of third degree whose zeros and degree are given, for zero of (-2), multiplicity 1 and for zero of (3), multiplicity 2 is [tex]f(x) = x^3 - 10x^2 - 15x + 18[/tex]

A polynomial is an expression of more than two algebraic terms, especially the sum of several terms that contain different powers of the same variable(s).

From the question statement, a third degree polynomial has a zero of (-2), multiplicity 1 and another zero of (3), multiplicity 2.

We need to determine the polynomial.

Since, (-2) is a zero of the polynomial, then (x+ 2) will be a factor of the polynomial. for zero of (-2), multiplicity is 1, means that the factor of (x + 2) is only multiplied once.

Similarly, (3) is another zero of the polynomial, then (x - 3) will be a factor of the polynomial.

For zero of (3), multiplicity is 2, this means that the factor of (x - 3) will be multiplied twice

Hence, our required polynomial is [tex]f(x) = x^3 - 10x^2 - 15x + 18[/tex]

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The perimeter of the triangle ΔABC will be 21 units.

The polygonal shape of a triangle has a number of sides and three independent variables. Angles in the triangle add up to 180 °.

The perimeter of the triangle is determined by adding together all of its sides.

If d, e, and f are midpoints of the sides of ABC. A = 7, C = 8, and B = 6. Then the perimeter of the triangle is given as,

Perimeter = A + B + C

Perimeter = 7 + 6 + 8

Perimeter = 21

The perimeter of the triangle ΔABC will be 21 units.

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Answer: 12 miles

Step-by-step explanation:

Let y represent the cost and x represent the number of miles!

y = 1.25x + 3

Now put the $18 in for y

18= 1.25x + 3

15 = 1.25x

x = 12 miles

Answer:

Step-by-step explanation:

We can model the cost of a taxi trip with y = 1.25x + 3, where y is the total cost and x is the miles traveled. $1.25 is charged per mile, and the initial $3 is added to find the total cost. We know that the total cost is $18, so we can put 18 in for y and solve for x:

18 = 1.25x + 3

15 = 1.25x (subtracted 3 from both sides)

12 = x (divided each side by 1.25)

So, the trip was 12 miles

By evaluating the function for 2f(a), we get 6a² + 6a -4.

We can evaluate the function, f(x) =3x² +3x -2 for 2 f(a) by using the following steps:

Firstly, we have to find f(a).

In order to find f(a) we need to substitute 'x' with 'a' in the given function.

So the f(a) would be equal to :

f(a) = 3a² +3a-2

Now in the second step in order to find 2f(a) we need to multiply the whole function of f(a) with 2.

So 2f(a) would be equals to:

2f(a) = 2(3a² + 3a -2)

2f(a) = 6a² +6a -4

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Answer:

1. using the formula (aX2/h)-22

17

Step-by-step explanation:

Take area multiply by 2

234x2=468

Divide answer by height which is 12 you get 39

39subtract 22 you get your answer as 17

4x - 7y + 28 = 0,5y - 7x + 9 = 0 is the system of equation that has no solution.

A group of equations comprising one or more variables is known as a system of equations. The variable mappings that satisfy each component equation, or the points where all of these equations cross, are the solutions of systems of equations.

Dependent, Independent and inconsistent are the three types of system of equation.

If we solve this system of equation we will get complex roots that means it has no solution.

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Answer:

Step-by-step explanation:

ccccccccccccccccccccccccccccccccccccccccccccccccccc.cccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccc.ccccccccccccccccccccccccccccc.ccccccccccccccccccccccccccccccccc.ccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccc

Using  Pythagoras triple, the side lengths 6, 9 and 12 are not the sides of a triangle

Pythagorean triples are a2+b2 = c2 where a, b and c are the three positive integers. These triples are represented as (a,b,c). Here, a is the perpendicular, b is the base and c is the hypotenuse of the right-angled triangle.

In this problem, we are going to determine is 6, 9 and 12 are Pythagoras triple.

Taking the largest number and assuming it's the hypothenuse of the triangle;

12² = 6² + 9²

144 = 117

144≠117

The side lengths 6, 9 and 12 can't form a right angle triangle.

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We know that the equation (B) 5+2(3+2x) = x+3 (x+1) has no solution.

The definition of equations in algebra is a mathematical statement that shows the equality of two mathematical equations.

For instance, the equation 3x + 5 = 14 consists of the two expressions 3x + 5 and 14, which are separated by the 'equal' sign.

Solve equations to find the equation which has no solution as follows:

(A) 4(x+3) + 2x= 6(x+2)

4(x + 3) + 2x = 6(x + 2)

4x + 12 + 2x = 6x + 12

6x = 6x

L. H. S = R. H. S

(B) 5+2(3+2x) = x+3 (x+1)

5 + 2(3 + 2x) = x + 3(x + 1)

5 + 6 + 4x = x + 3x + 3

11 + 4x = 4x + 3

L. H. S ≠ R. H. S

(We got our answer and so we don't need to solve further options)

Therefore, we know that the equation (B) 5+2(3+2x) = x+3 (x+1) has no solution.

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Correct question:

Which equation has no solution?

a 4(x+3) + 2x= 6(x+2)

b 5+2(3+2x) = x+3 (x+1)

c 5(x+3) + x = 4 (x+3) + 3

d 4 + 6(2+x) = 2(3x+8)

We can conclude that there is a statistically significant correlation between the two variables, a and b. The correlation coefficient is .10, which indicates a weak positive relationship.

A correlation coefficient of .10 indicates that there is a weak positive relationship between the two variables, a and b. A p-value of .01 indicates that the correlation between the two variables is statistically significant, meaning that it is unlikely to be due to chance. This suggests that there is a real relationship between the two variables, even though it is weak.

To calculate the correlation coefficient, you can use the formula  where x and y are the two variables in question. In this case, the correlation coefficient is .10. This can be determined by plugging in the values for x and y and doing the necessary calculations.

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Answer:

I'm pretty sure its 3500

Answer:

3,500 meters above the ground.

Step-by-step explanation:

The working is in the picture I attached to this response.

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