List the sample space for rolling a fair seven-sided die.

S = {1, 2, 3, 4, 5, 6, 7}
S = {1, 2, 3, 4, 5, 6, 7, 8}
S = {1}
S = {7}

by breaking it down u can write it as

15p^-4/_20p^-12 * q^-6/q^-3

15/-20=-3/4

using law of indices we have

-3/4p^-4+12 * q^-6+3

-3/4p^8q^-3

the answer is the first own

Answer:

So first you have to do 12-2 since it's in parenthesis. It is 10. 5+4 is 9, and 9 times 10 is 90. 3 squared is 9, then you divide 90 by 9. The answer is 10.

I have no idea??? I'm 3rd grade.

what do i choose? because all i see is a lot of numbers and words lol

The volume of the sphere with a diameter of 22 rounded to the nearest tenth is approximately 5575.3 cubic units.

Rounded to the closest tenth, the volume of a sphere with a 22 diameter

The following is the formula for a sphere's volume:

\(V = (4/3) \times pi \times r^3\)

where r denotes the sphere's radius.

Since the diameter of the sphere is given as 22, we can find the radius as:

r = d/2 = 22/2 = 11

Now, substituting this value of r into the formula for volume, we get:

\(V = (4/3) \times pi \times 11^3\)

V ≈ 5575.27976

Rounding this to the nearest tenth, we get:

V ≈ 5575.3

Therefore, the volume of the sphere with a diameter of 22 rounded to the nearest tenth is approximately 5575.3 cubic units.

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Answer:

258÷c=19

 what?

In the basis step of the mathematical induction proof for P(n), we show that the equation is true for n = 1. The equation of the inductive hypothesis (IH) is P(k), where k is an arbitrary natural number. In the inductive step, we need to show that if P(k) is true, then P(k+1) is also true.

In the basis step, we substitute n = 1 into the equation 11⋅2+12⋅3+⋅⋅⋅+1n⋅(n+1)=nn+1. This gives us the equation 1⋅2 = 1+1, which is true.

The inductive hypothesis (IH) is denoted as P(k), where k is an arbitrary natural number. We assume that P(k) is true, meaning that 11⋅2+12⋅3+⋅⋅⋅+1k⋅(k+1)=kk+1 holds.

In the inductive step, we need to show that if P(k) is true, then P(k+1) is also true. This involves substituting n = k+1 into the equation 11⋅2+12⋅3+⋅⋅⋅+1n⋅(n+1)=nn+1 and demonstrating that the equation holds for this value. The specific equation we need to show in the inductive step is 11⋅2+12⋅3+⋅⋅⋅+1(k+1)⋅((k+1)+1)=(k+1)(k+1+1).

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In the basis step, we need to show that the equation P(1) is true. The equation of the inductive hypothesis (IH) is P(k), where k is any natural number greater than or equal to 1. In the inductive step, we need to show that if P(k) is true, then P(k+1) is also true.

To prove the equation P(n): 11⋅2 + 12⋅3 + ... + 1n⋅(n+1) = n(n+1) using mathematical induction, we follow the two-step process.

1. Basis Step:

We start by showing that the equation is true for the base case, which is n = 1:

P(1): 11⋅2 = 1(1+1)

Simplifying, we get: 2 = 2, which is true.

2. Inductive Step:

Assuming that the equation is true for some arbitrary value k, the inductive hypothesis (IH) is:

P(k): 11⋅2 + 12⋅3 + ... + 1k⋅(k+1) = k(k+1)

In the inductive step, we need to show that if P(k) is true, then P(k+1) is also true:

P(k+1): 11⋅2 + 12⋅3 + ... + 1k⋅(k+1) + 1(k+1)⋅((k+1)+1) = (k+1)((k+1)+1)

By adding the (k+1)th term to the sum on the left side and simplifying the right side, we can demonstrate that P(k+1) is true.

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According to unitary method, the cost of one cup of cake is N6.

Let's assume that the cost of one cup of cake is "x" Naira. According to the problem, a bowl of ice cream and a cup of cake cost N11. This can be expressed as:

1 bowl of ice cream + 1 cup of cake = N11

We can use this equation to express the cost of one bowl of ice cream in terms of the cost of one cup of cake. To do this, we need to isolate the cost of one bowl of ice cream on one side of the equation. This gives us:

1 bowl of ice cream = N11 - 1 cup of cake

Now, we can use this expression to find the cost of two bowls of ice cream and three cups of cake. According to the problem, this costs N28. This can be expressed as:

2 bowls of ice cream + 3 cups of cake = N28

We can substitute the expression we derived earlier for the cost of one bowl of ice cream into this equation. This gives us:

2(N11 - x) + 3x = N28

Simplifying this equation gives us:

22 - 2x + 3x = N28

x = N6

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Graph attached

Shading should be done from 3 to 15/2 or 7.5

It should be open dot

Answer:

It's not true because 18 cups will only last 12 days, not 27 days.

Step-by-step explanation:

1 1/2 = 3/2

3/2(27) = 40.5 cups

18 = 3/2c

c = 12

The total number of isomers with the formula [Pd(C2O4)2I2]2– is 3150.

There are two parts to this answer: the first part is to determine the coordination number of the central palladium (Pd) atom, and the second part is to determine the number of possible isomers based on the coordination number.

To determine the coordination number, we need to count the number of ligands (the molecules that bind to the central atom) attached to the Pd atom. In this case, we have four oxalate (C2O4) ligands, each of which contributes two atoms (a total of eight atoms), and two iodide (I) ligands, each of which contributes one atom (a total of two atoms). This gives us a total of 10 ligands attached to the Pd atom. Since each ligand can only form one bond with the Pd atom, the coordination number is 10.

Next, we need to determine the number of possible isomers. Isomers are molecules with the same chemical formula but different arrangements of atoms. For this complex ion, there are two types of isomers: geometrical and optical.

Geometrical isomers arise from the fact that the ligands can be arranged around the central atom in different ways. In this case, since there are 10 ligands, there are a total of 10!/[(4!2!2!)x2] possible geometrical isomers, or 3150.

Optical isomers arise when there are non-superimposable mirror images of the molecule. However, since this complex ion has a plane of symmetry, it is achiral and does not have optical isomers.

Therefore, the total number of isomers with the formula [Pd(C2O4)2I2]2– is 3150.

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Considering the definition of a line, the equation of the line that passes through the point (5, -5) and has a slope of -1/5 is y= -1/5x -4.

A linear equation o line can be expressed in the form y = mx + b

where

In this case, you know that:

Substituting the value of the slope m and the value of the point in the expression of a line, the value of the ordinate to the origin b can be obtained as follow:

-5= -1/5×5 + b

-5= -1 + b

-5 +1= b

-4= b

Finally, the equation of the line is y= -1/5x -4.

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Answer:the question just written out doesnt give a crazy amount of context but i believe the answer is 4 spins

Step-by-step explanation:

the answer is it decreased 17%

im not 100% btw

Answer:

2^8=256

Step-by-step explanation:

Multiply the exponents and simplify

Answer:

$22.50

Step-by-step explanation:

Answer:

$95 is the markup

Step-by-step explanation:

Add 45+50=95

Answer:

To graph the inequality y ≤ x - 2 on the axes, you would:

Plot the line y = x - 2 on the graph. The line will be a straight line passing through the point (-2,0) and has a slope of 1.

Determine the direction of the inequality symbol. Since it is a less-than-or-equal-to symbol, we will shade the region that is less than or equal to the line.

Shade the region that is less than or equal to the line in the graph. In this case, the region above the line y = x - 2.

The line is solid, it's not dotted.

Note: The graph will be a straight line that is tilted towards the top right of the coordinate axes, the region above the line will be shaded.

Step-by-step explanation:

Answer:

A. : True hope this helps someone

Step-by-step explanation:

A tessellation could be created using parallelograms like the one shown below is true.

Parallelogram is a quadrilateral that has two pairs of parallel sides.

In a parallelogram, opposite sides and angles are equal.

The adjacent angles add up to 180 degrees.

We have,

Tessellations can be created using a variety of shapes, including parallelograms.

A tessellation is a repeating pattern of shapes that completely covers a plane without any gaps or overlaps.

In a parallelogram tessellation, the parallelograms would fit together like puzzle pieces to fill the plane.

Thus,

A tessellation could be created using parallelograms like the one shown below is true.

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solution of the inequality is r>4/3.

An inequality is a mathematical statement that compares two values or expressions, indicating that one is greater than, less than, or not equal to the other. Inequalities are expressed using symbols such as "<" (less than), ">" (greater than), "<=" (less than or equal to), ">=" (greater than or equal to), or "≠" (not equal to).

Inequalities can also involve variables, and solutions to such inequalities are the sets of values of the variable that make the inequality true. For example, the inequality 2x + 3 < 7 states that 2x + 3 is less than 7, and solving for x gives the solution x < 2.

Given inequality

2>6-3r

Solving the inequality

2-6>-3r

-4>-3r

r>4/3

Hence, solution of the inequality is r>4/3

Image of the inequality is attached below.

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Answer:

6x+6

Step-by-step explanation:

a linear expression has no power attached to the x (the unknown)

The distance between the two planes changing at this time is \(615.4mph\)

The distances between two planes may be calculated using the shortest distance across their surfaces as well as the length of the surface normal that falls through one plane into the other.

There are two ways to calculate the separation between two planes. A point-plane distance formula or the formula |d2 - d1|/(a2 + b2 + c2) can be used to calculate distance. You can figure out how far apart two planes are by measuring the distance between their surfaces. It is possible to have two parallel or non-parallel planes.

To find \(\frac{dD}{dt}\)

Now from Pythagorean theorem we have

\((D)^{2}=(100)^{2}+(240)^{2}\)\(= 67600\)

\(D= 260\)

Now \(D^{2}=A^{2}+ B^{2}\)

\((260) \frac{dD}{dt}= (100) (520)+(240) (450)\)

\(= \frac{dD}{dt} = \frac{52000+108000}{260}\)

\(= 615.4 mph\)

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Answer:

200,000

Step-by-step explanation:

Population now: 50,000

Population in 33 hours: 100,000

Population in 66 hours: 200,000

Answer: 200,000

Answer:

1. 2x + 5y = 5

2. 3x + 2y = -9

Step-by-step explanation:

Answer:

1. 2x+5y=5

2. 3x+2y=-9

Step-by-step explanation:

The required answer are according to the following order,

a) France;

25/60 × 360/1 = 150°

b) Spain;

18/60 × 360/1 = 108°

c) Greece;

15/60 × 360/1 = 90°

d) Other;

2/60 × 360/1 = 12°

What do you mean by sum of angles?

We know that the sum of angles in a triangle is 360°. The question requires us to find the angle that corresponds to each of the given holiday destinations. We shall now proceed as follows:

The angle subtended is obtained from number of people that chose a particular location.

a) France;

25/60 × 360/1 = 150°

b) Spain;

18/60 × 360/1 = 108°

c) Greece;

15/60 × 360/1 = 90°

d) Other;

2/60 × 360/1 = 12°

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Answer:

  $1,236,800

Step-by-step explanation:

The problem statement tells you Brett's offer is $6700 less than the asking price. The offer is found by subtracting $6700 from the asking price:

  offer = asking price - $6700

  offer = $1,243,500 -6,700 = $1,236,800

Brett offered $1,236,800 for the house.

The length of the curve is (1/2) ∫(θ1 to θ2) (8sec^2(θ) - 8).

To find the length of curve, we can use the formula for arc length:

L = ∫(a to b) √[1 + (dy/dx)^2] dx

First, we need to express x in terms of y and find dy/dx. We have:

x = y^4/(8 + 1/4y^2)

=> 8x + x/4y^2 = y^4

=> 8xy^2 + x = 4y^6

=> x = (4y^6 - 8xy^2)/(-1)

Differentiating both sides with respect to y, we get:

dx/dy = (24y^5 - 16xy)/(1)

Simplifying, we get:

dx/dy = 8y^4 - 16x/y

Substituting this into the formula for arc length, we get:

L = ∫(1 to 2) √[1 + (8y^4 - 16x/y)^2] dy

Next, we express x in terms of y and substitute into the integral. We have:

x = (4y^6 - 8xy^2)/(-1)

=> x = (4y^4 - 8y^2x)/(-y)

Substituting this into the integral, we get:

L = ∫(1 to 2) √[1 + (8y^4 + 16y^2x^2 - 16y^2x^2)/y^2] dy

 = ∫(1 to 2)√[1 + 8y^2] dy

Use the substitution u = √(8)y, which gives us du/dy =√(8) and dy = du/√(8).

Substituting these into the integral, we get:

L = ∫(√(8) to 2√(8)) √[1 + u^2/8] du/√(8)

 = (1/4) ∫(√(8) to 2√(8)) √(8 + u^2) du

Next, we can use the substitution u =√(8)tan(θ),

= √(8)sec^2(θ) d(θ).

Substituting these into the integral, we get:

L = (1/4) ∫(θ1 toθ2)√(8 + 8tan^2(θ)) √(8) sec^2(θ) d(θ)

 = (1/2) ∫(θ1 toθ2) √(64 + 64tan^2(θ)) sec^2(θ) d(θ)

 = (1/2) ∫(θ1 toθ2) 8sec^3(θ) d(θ)

We can use the trigonometric identity sec^2(θ) - 1 = tan^2(θ) to simplify the integrand:

L = (1/2) ∫(θ1 toθ2) (8sec^2(θ) - 8)

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Mr. Johns handle this situation to Agree to meet, listen to their concerns, and then explaining that one component of math is understanding reasonable answers.

Mr. Johns gave a test last week and Ginny missed one question. She answered that 14.5 people would ride on each bus rather than 15. Her parents would like a conference because she did the math problem correctly and should receive credit even though her answer was not reasonable.

Mr. Johns handle this situation to Agree to meet, listen to their concerns, and then explain that one component of math is understanding reasonable answers.

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Using the values provided in the ordered pair, The linear inequality is satisfied by putting the ordered pair values and checking if the statement is true or false.

An ordered pair is made up of the ordinate and the abscissa of the x coordinate, with two values given in parenthesis in a certain sequence.

When two mathematical statements or two numbers are compared in an unequal way, it is known as an inequality in mathematics. Inequalities can generally be classified as either algebraic or numerical, or as a combination of the two.

ordered pair=(1,2)

linear inequality equation,

\(4x_{1}-x_{2} > 0\)

using value from ordered pair,

\(4*1 - 2 > 0\)

\(2 > 0\)

which is true. That is it satisfies the given linear inequality.

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