Joaquin is getting a new locker at school and the first thing he must do is decide on a new combination. The three number locker combination can be selected from the numbers 0 through 21.How many different locker combinations can Joaquin choose if none of the numbers can be repeated?With your understanding of permutations, combinations, and factorials, decide if the name "combination lock" is appropriate.How many mathematical combinations are possible?:How many choices would there be if you could repeat a number, but not use the same number twice in a row?

Step-by-step explanation:

you know how equations are transformed ?

by applying the same operation on both sides of the equation (so that the equality remains).

x + 38 = 79

to get "x = ...", we need to eliminate the "+ 38" in the x side.

clearly we need to subtract 38.

again, whatever e do, we have to do on both sides, otherwise the equality relation is destroyed.

so,

x + 38 - 38 = 79 - 38

x = 41

that is the height of the avocado tree : 41 in.

it is 38 in shorter than 79 in (the fig tree).

that's all that is to this. it is a really simple method.

the same applies to any operation you want to do (+, -, ×, ÷, ...).

Zero is not a real number that is positive. Because it lies between positive and negative real numbers. Therefore, it is considered neither a positive nor negative real number.

Real numbers are founded on the idea of the number line: the positive numbers to the right of zero and the negative numbers to the left of zero. Any number that fits on this number line can be considered real.

All numbers that are either rational or irrational are also referred to as real numbers. A real number that is positive and bigger than zero is known as a positive real number. Any real number that is not a positive integer is either zero or negative. Therefore, 0 is neither positive nor negative.

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Answer:

65.9

Step-by-step explanation:

The equation x² – 12x = 30 (x>0) promises that we can determine possible values of x if we solve the equation.  So let's start there:

We can factor the equation or solve it with the quadratic equation.

Factor

  x² – 12x = 30

  x² – 12x - 30 = 0

I don't see an easy factor solution.  One possibility is to first rewrite the equation as

  (x-12)x-30 = 0

  (x-6)^2 - 66 = 0

 -(-x+[tex]\sqrt66}[/tex]+6)(x+[tex]\sqrt{66}[/tex]-6)

The roots are:

x = 6-[tex]\sqrt{66}[/tex] and

x = 6+[tex]\sqrt{66}[/tex]

Since x>0, only the second root is valid:  x = 6+[tex]\sqrt{66}[/tex]

x = 6 + (8.12)

x = 14.12

[That was painful]

Quadratic Equation

Solving with the quadratic equation gives values of:

14.12, and -2.12  Again, only the positive value is valid:  14.12

[The quadratic approach was far easier than factoring, in this case]

==

Since we established x = 14.12, (x − 6)² bcomes:

  (14.12 − 6)²

 (8.12)² = 65.9

The correct answer is option D , which states that , both estimators are unbiased, and var() < var().

The efficiency pf an unbiased estimator, is known as the estimator's precision when divided by the precision's upper bound . It's the lower bound on the variance which is when  divided by the estimator's variance.

The ratio of the precisions of two unbiased estimators represents their relative efficiency . In case of a biased estimators, relative efficiency is defined as the MSE ratio.

If we want to compare the efficiency of two estimators it can be done by  simply comparing the variance of the estimators. The one having a lower variance is said to be more efficient. It should satisfy certain conditions like,

The two estimators are used to predict the same parameter of the population.

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The angles and sides are in order from smallest to largest is written as,

For first triangle;

Sides = ZY, XZ, XY

Angles = ∠X, ∠Y, ∠Z

For second triangle;

Sides = MQ, MP, PQ

Angles = ∠P, ∠Q, ∠M

A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

We know that;

In triangle, The opposite side of large angle is large and opposite angle of a large side is large.

So, By above conclusions we get;

The angles and sides are in order from smallest to largest is written as,

For first triangle;

Sides = ZY, XZ, XY

Angles = ∠X, ∠Y, ∠Z

For second triangle;

Sides = MQ, MP, PQ

Angles = ∠P, ∠Q, ∠M

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Answer: [tex](0,-9)[/tex]

Step-by-step explanation:

The vector from [tex](-4,2)[/tex] to [tex](3,-4)[/tex] is [tex]\langle 7, -6 \rangle[/tex].

Applying this transformation to [tex](-7, -3)[/tex] yields that the fourth vertex has coordinates [tex](-7+7, -3-6)=(0,-9)[/tex].

Emma has been saving up to go on a big summer trip, visiting the United States and Russia. Emma should spend $2951.46 while in the United States.

Generally, To maximize the amount of cash Emma has in Russia, she should spend all of her money in the United States before entering Russia. First, we convert the Ruble limit to USD:

32,285 Rubles / 129.35 =249.594 USD.

Next, we convert Emma's savings from pounds to USD:

£2500 x 1.28 = $3200.

Finally, we subtract the Ruble limit from Emma's total savings in USD: $3200 - $248.54 = $2951.46.

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Answer:

A rhombus is a four-sided shape with all sides equal in length, and opposite angles equal. The diagonals of a rhombus bisect each other at right angles and they are equal in length.

In this case, the length of one diagonal of the rhombus is 6 times the length of the other diagonal. Let's call the length of the shorter diagonal "d", and the length of the longer diagonal "6d".

To find the perimeter of the rhombus, we can add up the lengths of all four sides. Since all sides of a rhombus are equal, we can find the perimeter by multiplying the length of one side by 4.

To find the length of one side, we can use the Pythagorean theorem to find the length of the side in terms of d, the shorter diagonal.

We know that d^2 + (3d)^2 = s^2, where s is the length of one side.

After simplifying, we get: d^2 + 9d^2 = s^2

s = √10d^2

so the perimeter is 4s = 4 √10d^2

Therefore, the perimeter of the rhombus can be represented by the expression 4* √10d^2 where d represents the length of the shorter diagonal.

Answer:

14d

Step-by-step explanation:

First the short diagonal is d, so we can mark it as d:

d

Second we have 6 times that, so 6d:

d+6d

Then we multiply it by two since a rhombus has 4 sides:

2d+12d

Then we simplify:

14d

Voila!

Para calcular el 18% menos de un número, se puede utilizar la fórmula: número original x (1 - porcentaje en decimal). En este caso, para calcular el 18% menos de 41, se puede utilizar la fórmula: 41 x (1 - 0.18) = 41 x 0.82 = 33.62. Entonces, el 18% menos de 41 es 33.62.

Espero que esto ayude :)

Answer:

El número es:

50

Step-by-step explanation:

Porcentaje significa "por cada cien"

18% = 18/100 = 0.18

El número buscado corresponde al 100%

Si es el 18% menos quiere decir que corresponde a:

100 - 18 = 82%

Entonces:

Por regla de tres:

41 es a 82%

A es a 100%

A = 41 * 100 / 82

A = 4100 / 82

A = 50

Comoprobación:

50 - (50*0.18) = 50 - 9 = 41

The responses for the solution to the equations are evaluated as follows;

First equation; The response is not the solution to the equation;

Second equation; The response, f = 9 is the solution to the equation

An equation is the representation of a mathematical statement indicating the equality of two expressions.

The equations are;

First equation; 52 + G = 45 + 11

The response to the first equation is; G = 3

The solution for the first equation is found as follows;

52 + G = 45 + 11

G = 45 + 11 - 52 = 4

The solution to the equation 52 + G = 45 + 11 is; G = 4

Therefore, the response in not the solution to the equation, the solution to the equation is; G = 4

The second equation is; 13 + 14 = 3·f

The response for the above equation in the question is; f = 9

Plugging in f = 9 into the second equation, we get;

13 + 14 = 3 × f = 3 × 9 = 27, which is correct

The solution to the second equation can also be found by solving the equation as follows;

13 + 14 = 3·f

27 = 3·f

f = 27/3 = 9

f = 9

Therefore the response in the question for the second equation is the correct solution to the equation, 13 + 14 = 3·f, where, f = 9

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You need to deposit $55,555 each year until your retirement to achieve your retirement goal.

To find the amount you need to deposit each year, you need to calculate the present value of your future withdrawals, considering the time value of money and taking into account the interest rate.

One way to do this is to use the formula for present value:

PV = FV/(1 + r)^t

where PV is the present value, FV is the future value, r is the interest rate, and t is the number of years until the future value.

In this case, FV is $50000 per year for 30 years, so the total future value is $50000 × 30 = $1,500,000. And t is 15 years, so the present value is:

PV = $1,500,000/(1 + 0.04)^15 = $1,500,000/1.8 = $833,333

So, you need to deposit $833,333/15 = $55,555 each year until you retire to achieve your goal.

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Therefore , the solution of the given problem of surface area comes out to be slant height 43 mm.

How much surface area it occupies is a decent indication of its total size. The surroundings is taken into account while calculating the squared of a right triangle. Anything's overall size is determined by its surface area. The volume of water inside a cuboid is the total of the volumes on each of the six horizontal sides. To determine the box's dimensions, use the formula below: The region is the same in 2lh, 2lw, and 2hw (SA). The overall area of the adaptable shape serves as a representation of the region.

Here,

Given :

Surface area = 5633.16 square millimeters

and

slant height = x

radius = 26 mm

So,

=> SA = πr² + πrl = 5633.16

=>SA = π(r² + rl) = 5633.16

=> SA = 3.14 ( 26² + 26* l) = 5633.16

=> SA = 2122.64 + 81.64l = 5633.16

=> SA = 81.64* l = 5633.16 - 2122.64

=> 81.64*l = 3510.52

=> l = 3510.52/81.64

=> l = 43 mm

Therefore , the solution of the given problem of surface area comes out to be slant height 43 mm .

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The state of the qubit after the spin projection along the x-axis in graph measurement outcome is found to be 1 is |1⟩.

The original state of the qubit is given as |ψ⟩ = a|0⟩ + b|1⟩.

After a spin projection along the x-axis measurement, if the outcome is 1, then the state of the qubit after the measurement is |1⟩. This can be expressed as |1⟩ = a|0⟩ + b|1⟩.

Therefore, the state of the qubit after the spin projection along the x-axis measurement outcome is found to be 1 is |1⟩.

The state of the qubit after the spin projection along the x-axis measurement outcome is found to be 1 is |1⟩.

The state of the qubit before the spin projection along the x-axis measurement was given as |ψ⟩ = a|0⟩ + b|1⟩, where a and b are complex numbers such that |a|2 + |b|2 = 1. After the spin projection along the x-axis measurement, if the outcome was 1, then the state of the qubit after the measurement is |1⟩ = a|0⟩ + b|1⟩, which is the state of the qubit after the spin projection along the x-axis graph measurement outcome is found to be 1.

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Answer: I think its -5

Step-by-step explanation:

Null Hypothesis: The jeeps have an mpg rating of 34.9

Alternative Hypothesis: The jeeps have an mpg rating that is less than 34.9

Calculate the test statistic.

Test Statistic = (Sample Mean - Population Mean) / (Standard Deviation / √Sample Size)

Test Statistic = (34.6 - 34.9) / (2.0 / √16)

Test Statistic = -1.5 / 0.5

Test Statistic = -3

Calculate the critical value.

Critical Value = -2.960 Compare the test statistic with the critical value

Test Statistic = -3

Critical Value = -2.960

Since the test statistic is lower than the critical value, we reject the null hypothesis.

Make a conclusion The jeeps have an mpg rating that is less than 34.9

At the 0.025 level, there is enough proof to conclude that Jeeps do not get the claimed mpg.

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Answer:

To find the percent of change, we can use the following formula:

(New Value - Old Value) / Old Value x 100

In this case, the new value is $315,000 and the old value is $180,000.

So the percent of change is:

($315,000 - $180,000) / $180,000 * 100

This evaluates to:

$135,000 / $180,000 * 100 = 0.75 * 100 = 75%.

Therefore, the percent of change is 75%.

well, the change or difference was 315000 - 180000 = 135000.

if we take $180,000 (origin amount) to be the 100%, what's 135,000 off of it in percentage?

[tex]\begin{array}{ccll} amount&\%\\ \cline{1-2} 180000 & 100\\ 135000& x \end{array} \implies \cfrac{180000}{135000}~~=~~\cfrac{100}{x} \\\\\\ \cfrac{ 4 }{ 3 } ~~=~~ \cfrac{ 100 }{ x }\implies 4x=300\implies x=\cfrac{300}{4}\implies x=75[/tex]

If Sarah has a 20% discount, her total cost after the discount in dollars and cents be 31.40.

Therefore the answer is $31.40

Sarah has a 20% discount, so the percentage of the cost she needs to pay is

100 - 20 = 80%.

To calculate the total cost after the discount, we need to multiply the original total cost by the percentage of the cost Sarah needs to pay:

= $39.25 x 0.8

= $31.40

So, after the discount, Sarah would pay $31.40 before tax.

To round it to the nearest cent we have $31.40 so the answer is 31.40

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There are 7 oak trees and 4 maple trees in the community park, so the ratio of oak trees to maple trees can be written as 7:4.

What is ratio?

A ratio is a way of comparing two or more quantities. It is a way of expressing the relationship between two numbers in terms of their size. A ratio can be written in different ways, such as in the form of a fraction, as a decimal, or as a whole number.

We can also write the ratio in different ways, such as:

7/4 = 1.75 oak trees for every 1 maple tree

35:20 = 35 oak trees for every 20 maple trees

14:8 = 14 oak trees for every 8 maple trees

All of these ratios represent the same proportion, which is 7 oak trees to 4 maple trees.

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The solution to the given initial-value problem is  x(t) = c1(e-ωt - eωt) = 2c1 sin ωt

The given initial-value problem is a second-order differential equation: d2x dt2 + ω2x = f0 sin ωt, x(0) = 0, x '(0) = 0

First, we can solve the homogeneous equation d2x dt2 + ω2x = 0 using the method of characteristic equation. The characteristic equation is r2 + ω2 = 0, which has two solutions r1 = -ω, r2 = ω.

The general solution to the homogeneous equation can be expressed as:

x(t) = c1e-ωt + c2eωt

Next, we can solve the non-homogeneous equation d2x dt2 + ω2x = f0 sin ωt. Since the right-hand side of the non-homogeneous equation has a sinusoidal form, we can use the method of variation of parameters to solve it.

The particular solution can be expressed as:

x(t) = A sin ωt + B cos ωt

By substituting the initial conditions, we can get:

A = 0, B = 0

Therefore, the solution to the given initial-value problem is:

x(t) = c1e-ωt + c2eωt

The constant c1 and c2 can be determined by the initial conditions:

x(0) = c1 + c2 = 0

x'(0) = -ωc1 + ωc2 = 0

Therefore, c1 = -c2 and c1 + c2 = 0.

Hence, the solution to the given initial-value problem is:

x(t) = c1(e-ωt - eωt) = 2c1 sin ωt

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Answer: 0.28571428571

Step-by-step explanation: 8 dived by 28

Answer:

U' (- 1, 3 )

Step-by-step explanation:

under a reflection in the x- axis

a point (x, y ) → (x, - y ) , then

U (- 1, - 3 ) → U' (- 1, 3 )

The word "correlation" is made by join forces the words "co" and "relation". The word "co" means jointly, thus, correlation means the relationship between any set of data when examine together.

In Statistics, the correlation coefficient is a compute defined between the numbers -1 and +1 and act for the linear interdependence of the set of data.

This data is then divided by the product of standard deviations for these variables.

The equation given below recap the above concept:

ρxy=Cov(x, y)/σxσy

Cov(x,y)=covariance of variables x and y

σx=standard deviation of x.

σy=standard deviation of y.

1. For a positive correlation: the values increase together.

2. For a negative correlation: one value decreases as the other increases.

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Answer:

Step-by-step explanation: Applying BODMAS rule,

[tex](8a-6a^2 +9)+(-10a-8+8a^2)-(-3)\\=8a-6a^2+9-10a-8+8a^2+3\\=2a^2-2a+12[/tex]

On solving the provided question, we can say that we excluded example 2 above, a maximum of 3 triangles can be created with those rods.

A triangle is a polygon since it has three sides and three vertices. It is one of the basic geometric shapes. The name given to a triangle containing the vertices A, B, and C is Triangle ABC. A unique plane and triangle in Euclidean geometry are discovered when the three points are not collinear.

[tex]2-inch, 3 inch, 4-inch[/tex]

triangle, because 2+3 > 4, 2+4 > 3, and 3+4 > 2

[tex]2-inch, 3 inch, 5-inch[/tex]

This is doesn't make  a triangle as  [tex]2+5 > 3, and 3+5 > 2,[/tex]

2+3 is not more  than 5,, they cannot make triangle.

[tex]2-inch, 4 inch, 5-inch[/tex]

triangle, because 2+4 > 5, 2+5 > 4, and 4+5 > 2

[tex]3-inch, 4 inch, 5-inch[/tex]

a triangle, because 3+4 > 5, 3+5 > 4, and 4+5 > 3

Therefore, since we excluded example 2 above, a maximum of 3 triangles can be created with those rods.

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A graph of the image of the given triangle, rotated 270° about the origin is shown in the image attached below.

In Mathematics, a rotation can be defined as a type of transformation which moves every point of the object through a number of degrees around a given point, which can either be clockwise or counterclockwise (anticlockwise) direction.

In Geometry, rotating a point 270° about the origin would produce a point that has the coordinates (y, -x).

By applying a rotation of 270° about the origin to the given triangle, the location of P" is given by:

(x, y)                                   →         (y, -x)

Ordered pair A (3, 2)        →    Ordered pair A' (2 -(3)) =  (2, -3).

Ordered pair B (-2, -6)      →    Ordered pair B' (-6, -(-2)) = (-6, 2).

Ordered pair C (10, -8)     →     Ordered pair C' (-8, -(10) = (-8, -10).

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The volume of coal is 42.41 cubic meters when a pile of coal is stored in a barrel-shaped bin whose base has a radius of 3 meters, and the height of the pile measures 1.5 meters.

The cylinder is a three-dimensional shape having a circular base. A cylinder can be seen as a set of circular disks that are stacked on one another.

The volume of a cylinder V= b*h

where b is the area of the base

h is the height of the cylinder.

And since the area of a circle is πr², we have this equation for the volume of a cylinder  

V = π×r²×h    

Now substitute, the known values for r and h, then calculate the result:  

V = π×r²×h  

V = 3.14159×3²×1.5  

V = 3.14159×9×1.5  

V = 42.411465  

V = 42.41  

So the volume of the coal pile is 42.41 cubic meters.

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Answer: Option b: 34

Explanation: The cosecant of an angle θ is defined as the reciprocal of the sine of that angle. Therefore, csc(θ)=1/sin(θ). Using a calculator, you can solve for sin(θ) by entering csc(θ) = 1.7894 and pressing the sin-1 button. This will give you the result of sin(θ) = 0.5930. You can then use a calculator to find the measure of θ in degrees by entering sin-1(0.5930) and pressing the Degrees button. This will give you the result of θ = 34°.

The formula for expected value is E(p) = Σ [p(x) * x] where x are the possible values of p and p(x) is the probability of x.

Without the probability distribution of p, it is impossible to determine the expected value of p.

The expected value (also known as the mathematical expectation or mean) of a random variable is a measure of the central tendency of the variable's possible values. The expected value of a discrete random variable p is the sum of the product of each possible value of the variable and its corresponding probability.

To find the expected value of p, you would need to know the probability distribution of the variable, which tells you the likelihood of each possible value of p. The probability distribution would typically be provided in a problem statement, or can be determined through experimentation or survey data.

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Answer:

y = 5A/r - 2

Step-by-step explanation:

It is a simple algebra. pkease see the above

Answer:

Step-by-step explanation: