Let G = be a cyclic group of order 42. Construct the subgroup diagram for G.

Answer:

A.

Step-by-step explanation:

remember, sine is the up/down distance from the center of the surrounding circle. cosine is the left/right sustenance from the center.

and for a triangle/circle different than the norm circle with radius = 1, we need to multiply all functions by the actual radius.

so, in this triangle

12 = cos(theta) × 20

cos(theta) = 12/20

Answer:

a) x = 5

b) x = 4

Step-by-step explanation:

a) \(\frac{3x+4}{2}\) = 9.5

  3x+4 = 9.5(2)

      3x = 19-4

        x = 15/3

         x = 5

b) \(\frac{7+2x}{3}\) = 5

  7+2x = 5(3)

      2x = 15-7

        x = 8/2

         x=4

The angles with sides HA and HE are ∠AHE and ∠EHA.

There are some angles given from which we need to find those with sides HE and HA.

The angles given are :

A. ∠AHE B. ∠AGE C. ∠EHA D. ∠EGA E. ∠AHB

For this first we need to understand the naming of angles.

An angle is either named by a single alphabet, mostly when the angle is not divided, or it is named using three letters from which we can clearly understand the sides of the angles.

For example, ∠XYZ has sides XY and YZ with the angle at the point Y.

So we will try to find the sides of each angles given in options.

A. ∠AHE has sides HA and HE with angle at the point H.

B.  ∠AGE has sides AG and GE with angle at the point G.

C. ∠EHA has sides HE and HA with angle at the point H.

D. ∠EGA has sides EG and GA with angle at the point G.

E. ∠AHB has sides HA and HB with angle at the point H.

Hence the angles for which HA and HE are sides are ∠AHE and ∠EHA.

The question is incomplete. Find the complete question below:

Select all the angles for which HA and HE are the sides.

A. ∠AHE B. ∠AGE C. ∠EHA D. ∠EGA E. ∠AHB

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The total number of tires in the parking lot, is (13×2)+(98×4)=t.

There are 13 bikes and each bike has 2 tires,

so the number of bike tires = number of bikes × number of tires

Thus,  number of bike tires = 13×2.

There are 98 cars and each car has 4 tires,

so the number of car tires = number of cars × number of tires

Thus,  number of car tires = 98×4.

To find the total number of tires (t),

add the number of bike tires and car tires together: (13×2)+(98×4)

Thus, t = (13×2)+(98×4)

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Answer:

g(-2) = 4

Step-by-step explanation:

g(x)=−4x−4

Find g(-2)

This means let x = -2

g(-2)=−4(-2)−4

       = 8 -4

       = 4

Answer:

She will ride 13 miles in one hour

Step-by-step explanation:

(8 2/3) / (2/3) = x / 1....8 2/3 miles to 2/3 hr = x miles to 1 hr

cross multiply

(2/3)(x) = (8 2/3)(1)

2/3x = 26/3

x = 26/3 * 3/2

x = 26/2...which equals 13....she will ride 13 miles in 1 hr

Answer:

Domain is x ∈ R

Step-by-step explanation:

There weren't any options given, but for f(x) = 2x + 15, the domain is x ∈ R.

This is because the graph is a linear function, which exists for all values of x. You can express this in lots of different ways, but R (all reals) is the conventional way to do it.

In case you don't know what a domain is: it is a set of numbers that the x-values of an equation can fit into.

Example:

f(x) = \(x^{2}\) -> x ∈ R

This is because, if you draw a quadratic graph, you can see that the values of x are neverending.

Hope this helped : )

Answer:

x=  5

Step-by-step explanation:

Your teacher should have explained it but give me points please

Answer:  y = -8x + 9

Step-by-step explanation:

The slope intercept form formula says that y=mx +b  where m is the slope and b is the y-intercept so input  the value for m and b to write the equation.

Answer:

False, true, false, true

Step-by-step explanation:

Sin T = 7/25

Cos T = 24/25

Sin C = 24/25

Cos C = 7/25

Therefore, When ratios have the same units, we call that ratio a unit ratio.

When ratios have the same units, we call that ratio a unit ratio. An explanation of what is meant by the term ratio would be helpful. A ratio compares the relative sizes of two or more quantities. If the numbers being compared have the same units, then it is called a unit ratio. Unit ratios are ratios that relate to each other in terms of the same measurement unit. They are also sometimes known as unit rates or unit fractions. They are frequently used to compare the relative size of one quantity to another when they are measured in the same units. For example, when we say that there are two apples for every five oranges, we are expressing a ratio between apples and oranges. However, when we say that there are two apples per five oranges, we are using a unit ratio.

Therefore, When ratios have the same units, we call that ratio a unit ratio.

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The population of each country will become double in 47 years.

Given that,

The population of the Dominican republic is, n = 10.7 million.

The growth rate of the Dominican republic is, p = 1.5 %.

The population of Paraguay is, n' = 6.0 million.

The growth rate of Paraguay is p' = 1.5 %.

The doubling time of population growth depends on the rate of population growth.

Here,

n is the final population and n0 is the initial population and doubling the value in the future, n= 2*n0.

Solving this, we get:

t= ln (2*n0/n0)/(1.5/100) = 47 years.

Thus, we can conclude the population of each country will become double in 47 years.

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The remainder when 17^(77) is divided by 35 is 12

The number being divided = 17^(77)

The number by which 17^(77) is divided = 35

Using a graphing calculator as follows, we have;

\( \frac{17^{77}}{35} = V+ \frac{12}{35} \)

Where V is a very large number quotient

From the above fraction, we have;

Expressing the above result using long division gives;

__V___ (Quotient)

35 (17⁷⁷)

____

12 (Remainder)

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Answer:

y=(3)/(4)x-4

Step-by-step explanation:

Answer:

Step-by-step explanation:

the anser to this will b e c

Answer:

c

Step-by-step explanation:

The answer is c

Answer:

Step-by-step explanation:

To solve the equation, we'll need to consider two cases:

Case 1: 2x - 3 is positive or zero

If 2x - 3 is positive or zero, then |2x - 3| = 2x - 3, and the inequality becomes:

2x - 3 < 3 + x - x^2

Rearranging and simplifying:

x^2 - x - 6 < 0

Factoring:

(x - 3)(x + 2) < 0

The solutions to this inequality are:

-2 < x < 3

However, we still need to check that 2x - 3 is indeed positive or zero for this range of x. We can see that this is true for x in the range (-2, 3), so this is a valid solution.

Case 2: 2x - 3 is negative

If 2x - 3 is negative, then |2x - 3| = -(2x - 3), and the inequality becomes:

-(2x - 3) < 3 + x - x^2

Rearranging and simplifying:

x^2 - 3x - 6 < 0

Factoring:

(x - 3)(x + 2) > 0

The solutions to this inequality are:

x < -2 or x > 3

However, we still need to check that 2x - 3 is indeed negative for this range of x. We can see that this is true for x < -2, so this is a valid solution.

Putting these two cases together, we get the solution:

x < -2 or -2 < x < 3

I hope this helps! Let me know if you have any questions.

Answer:

Step-by-step explanation:

3.088 x \(10^{-5}\)

scientific notation requires one number before the decimal, moving the decimal place to the right requires counting down.  

Answer:

see explanation

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = 3x + 5 ← is in slope- intercept form

with m = 3

Part 1

slope of line q is 3

Part 11

given a line with slope m then the slope of a line perpendicular to it is

\(m_{perpendicular}\) = - \(\frac{1}{m}\) = - \(\frac{1}{3}\) = - \(\frac{1}{3}\) ← slope of line p

The system can be written as a vector equation as [5, 1, -3] [x1, x2, x3]^T = [8, 0]^T and as a matrix equation as AX = B, where A = [5 1 -3; 0 2 4], X = [x1; x2; x3], and B = [8; 0].

To write the given system as a vector equation, we group the variables and the constants into vectors and write the equations in a matrix form. Thus, the system can be written as [5x1 + x2 - 3x3; 2x2 + 4x3] = [8; 0], which is a vector equation.

To write the system as a matrix equation, we can write the coefficients of the variables in a matrix A, the variables in a vector X, and the constants in a vector B. Thus, the system can be written as AX = B, where A = [5 1 -3; 0 2 4], X = [x1; x2; x3], and B = [8; 0].

We can then solve for X by finding the inverse of A and multiplying both sides of the equation by it.

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Answer:

14 boats 12 boats

Step-by-step explanation:

Answer:

haro

Step-by-step explanation:

Aiko:

\(\frac{5}{3}\)

5 shirts divided by 3 = 1.67

haro:

\(\frac{7}{4}\)

7 shirsts divided by 4=1.75

Therefore meaning Haro has a greater ratio for shirts to pants.

Therefore, the rank of matrix 'a' in this case would be 5.

To find the rank of a matrix, we need to perform row reduction to obtain its row echelon form (REF) or reduced row echelon form (RREF). However, since the matrix 'a' is not provided, I cannot perform the calculations or determine its rank.

The rank of a matrix is equal to the number of non-zero rows in its row echelon form or reduced row echelon form. If the system of equations 'ax = 0' has a two-dimensional solution space, it means that the rank of matrix 'a' is less than the number of columns (6) but greater than 4 (since the solution space is two-dimensional).

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Answer:

 3pi is irrational.

Step-by-step explanation:

An irrational number multiplied by a rational number is always irrational.

:)

Step-by-step explanation:

Slope = \(\frac{rise}{run}\)

          = \(\frac{y2 - y1}{x2-x1}\)

If two coordinates be (x1,y-1) and (X2,Y2)

Slope:-

If a line be ax+by+c=0

Slope'-

a. An expression for the perimeter of the living room is P = 2(9x - 3).

b. If x = 4, the total cost of the living room is equal to $85.14.

In Mathematics and Geometry, the perimeter of a rectangle can be calculated by using this mathematical equation (formula);

P = 2(L + W)

Where:

Part a.

An expression for the perimeter of the living room can be written as follows;

P = 2(L + W)

P = 2(5x - 1 + 4x - 2)

P = 2(9x - 3)

Part b.

When x = 4, the total cost of the living room can be calculated as follows;

P = 2(9(4) - 3)

P = 66 foot.

Total cost = 66 foot × $1.29

Total cost = $85.14.

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Answer:

Cups of red paint for a batch of dark pink - 2.5

Number of gallons of red paint that she starts with - 1

Cups of red paint for a batch of light pink - i did not get that one

Step-by-step explanation:

(a) To set up the integral in cylindrical coordinates for the given region E, we can express the variables in terms of cylindrical coordinates. The region lies within the cylinder x² + y² = 1, above the plane z = 0, and below the cone z² = 4x² + 4y². In cylindrical coordinates, we have x = r cos θ, y = r sin θ, and z = z. The integral becomes ∫∫∫ (r² cos² θ) r dz dr dθ, where the limits of integration are determined by the intersection of the surfaces x² + y² = 1 and z² = 4x² + 4y².

(b) To set up the integral in spherical coordinates for the given region E, we can express the variables in terms of spherical coordinates. The region is enclosed by the sphere x² + y² + z² = 9 in the first octant. In spherical coordinates, we have x = ρ sin φ cos θ, y = ρ sin φ sin θ, and z = ρ cos φ. The integral becomes ∫∫∫ (ρ² sin² φ cos² θ + ρ² sin² φ sin² θ + ρ⁴ cos² φ) ρ² sin φ dρ dθ dφ, where the limits of integration are determined by the boundaries of the first octant and the sphere x² + y² + z² = 9.
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Answer:

D. Yes, because the price is 5 times the number of boxes

Step-by-step explanation:

To know if they are proportional check to see if there is a number common to the relationship between the y and x to all the numbers:

10/2=5

15/3=5

20/4=5

25/5=5

There is a relationship of 5 and the 5 is multiplied to the x=boxes.

So the correct answer is, Yes, because the price is 5 times the number of boxes.

C. The probability of the type I error best defines the notion of the significance position of a thesis test.

The significance position, denoted by alpha( α), is the probability of rejecting the null thesis(H_o) when it's actually true. This is also known as a type I error, which occurs when we inaptly reject a true null thesis.

Option a isn't correct because the probability of rejecting H_o, whether it's true or not, isn't fixed and depends on the sample and the chosen significance position.

Option b isn't correct because it describes the p- value, which is a affiliated conception but not the significance position. The p- value is the probability of observing a sample statistic as extreme or more extreme than the one actually attained, assuming the null thesis is true.

Option d is also not correct because it describes the probability of a type II error, which occurs when we fail to reject a false null thesis. The probability of a type II error is denoted by beta( β) and is told by factors similar as sample size and effect size.

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