graphing y ≥ |x| - 4?

Let H be a nontrivial subgroup of G.

Since p and q are coprime, the only possible divisors of pq are p and q. Thus we must have either |H|=p or |H|=q. Now, by Cauchy's theorem, H must contain an element of order p or q respectively. Then, by Lagrange's theorem, the order of any element in H must divide p or q, i.e. H must be cyclicThen, H has an order of m, where m is a divisor of pq. By Lagrange's Theorem, m divides both p and q. Since p and q are prime, m must be equal to either p or q. This implies that the order of H is either p or q.

Therefore, H must be cyclic, because the order of a cyclic group is always equal to its number of elements. Thus, any nontrivial subgroup of G must be cyclic.

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Complete question:If G is a group of order pq, where p and q are primes, how could I prove that any nontrivial subgroup of G must be cyclic?

The coefficient of the second derivative (t2) is constant, so the equation is linear.

1. (1+y2)(d2y/dt2)+t(dy/dt)+y=et2  ->  2nd. order non-linear differential equation

2. t2(d2y/dt2)+t(dy/dt)+2y=sin t  ->  2nd. order linear differential equation

3. (d3y/dt3)+t(dy/dt)+(cos2(t))y=t3  ->  3rd. order non-linear differential equation

4. y''-y+y2=0  ->  2nd. order non-linear differential equation

The order of a differential equation is the highest derivative involved in the equation. For example, in the equation 1 + y2(d2y/dt2) + t(dy/dt) + y = et2, the highest derivative is the second derivative (d2y/dt2), so this equation is of 2nd order. Linearity is determined by whether the coefficients of each derivative are constants, or whether they depend on the function y and its derivatives. In this equation, the coefficient of the second derivative (1+y2) is not constant, so the equation is non-linear. Similarly, in equation t2(d2y/dt2)+t(dy/dt)+2y=sin t, the coefficient of the second derivative (t2) is constant, so the equation is linear.

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Answer: 20 different total voting combination

Step-by-step explanation: So we have 5 bands. Lets called them A, B, C, D, and E.

If John has to vote on his favorite and second favorite that means we will be selecting 2 bands out of the 5 possible to choose from.

To find the TOTAL amount of different combinations we need to pair up bands and find all the combo's.

Here are the results/totals:

AB

AC

AD

AE

BA

BC

BD

BE

CA

CB

CD

CE

DA

DB

DC

DE

EA

EB

EC

ED

So this is 20 different total voting combinations.

If you want to do it simpler without listing you can take the the 5 bands and multiple by 4 since you know each initial band (A, B, C, D, and E) will be paired with another band other than itself.

If the consumer buys both product X and product Y,  the consumer buy of each to maximize utility  will be 3X and 4Y.

Product X                         Product Y

Quantity   MUx  Quantity   MUy  

1                  32              1                    24

2                  28            2                    20

3                  24              3                     16

4                  20            4                       12

5                   16            5                      8

If the consumer can only buy product X, consumer buy and the total utility will be 5X and 120.

If the consumer buys both product X and product Y,  the consumer buy of each to maximize utility  will be 3X and 4Y.

When the consumer purchases the utility-maximizing

combination of product X and product Y, total utility will be 156.

A consumer is in equilibrium and is spending income in such a way that the marginal utility of product X is 40 units and Y is 16 units. The unit price of X is $5. The price of Y is: $2 per unit.

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The complete question is :

Based on the table below showing the marginal utility schedules for product X and product Y for a hypothetical consumer. The price of product X is $4 and the price of product Y is $2. The income of the consumer is $20. how much will the consumer buy of each in order to maximize utility?

The cable company with the best rate of price per channel is

Tel-EVision.

It is the quantity of an amount of something at a rate of one of another quantity.

In 2 hours, a man can walk for 6 miles

In 1 hour, a man will walk for 3 miles.

We have,

TV Watchers—$30.80 for 70 channels.

The unit rate.

= 30.80/70

= 0.44

Tel-EVision—$46.40 for 145 channels.

The unit rate.

= 46.40/145

= 0.32

Channels Galore—$40.80 for 120 channels

The unit rate.

= 40.80/120

= 0.34

Thus,

Tel-EVision cable company has the best rate of price per channel.

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Equation that represents the Marks and study hours of Adams is y = 7.5x + 60.

A linear equation is an algebraic equation of the form y = mx + b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) term are included. Sometimes, the aforementioned is referred to as a "linear equation of two variables," with y and x serving as the variables.

Given a linear regression graph that has a linear equation.

Slope intercept form of a line

y = mx + c

where,

m is the slope

c is the y-intercept(Where x is zero)

In our case,

y-intercept = 60

Thus, the equation of line will be:

y = mx + 60

Coordinates of the line are given (4, 90). So, these points will Satisfy the equation.

90 = 4*m + 60

4.m = 30

m = 7.5

Thus, equation of the line will be:

y = 7.5x + 60

Adam's test score after studying for 6 hours:

y = 7.5 * 6 + 60

y = 45 + 60

y = 105

therefore, Equation that represents the Marks and study hours of Adams is y = 7.5x + 60.

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The functions are 0, -2 and 1 for the mentioned function is 4, - 16 and 2.

Firstly we will represent the function in equation form. Then we will calculate the result by keeping each value of function.

f(x) = x³ - 3x² + 4

Calculating result when function is 0

f(x) = 0³ - 3×0² + 4

f(x) = 0 - 0 + 4

f(x) = 4

Calculating result when function is -2

f(x) = (-2)³ - 3×(-2)² + 4

Finding square and cube

f(x) = -8 - 3×4 + 4

Performing multiplication

f(x) = - 8 - 12 + 4

Performing addition

f(x) = - 20 + 4

Performing subtraction

f(x) = - 16

Calculating result when function is 1

f(x) = 1³ - 3×1² + 4

f(x) = 1 - 3 + 4

Performing addition

f(x) = 5 - 3

Performing subtraction

f(x) = 2

Thus, functions are 4, -16 and 2.

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Step-by-step explanation:

reading the question thoroughly, we find out that volume (V) and radius (r) of the cone is given, and we just have to find out the length (h) of the cone

V = πr²h/3

Putting the given values in place,

V = 75.36 cm³

V = 75.36 cm³r = 2 cm

V = 75.36 cm³r = 2 cmπ = 3.14

Now, since we calculating for h, we can interpret the formula in the terms of h, i.e.

h = 3V/(πr²)

h = 3×75.36/(3.14×2²)

h = 226.08/12.56

h = 18 cm

Thus, the height of the ice cream cone is 18cm

Hope this helped!

The total number of calories burned can be represented by the inequality 10x + 15y ≥ 600

Using the following parameters:

The inequality is

10x + 15y ≥ 600

In this case, x = 30 and y = 0.

Plugging in these values into the inequality:

10(30) + 15(0) = 300

Since 300 is less than 600, Timmykat will not burn enough calories if he only bikes for 30 minutes and doesn't run at all.

In this case, x = 0 and y = 30.

Plugging in these values into the inequality:

10(0) + 15(30) = 450

Since 450 is less than 600, Timmykat will not burn enough calories if he only runs for 30 minutes and doesn't bike at all.

See attachment

Three different scenarios where Timmykat will burn at least 600 calories a day are:

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If a submarine is 575 feet below sea level and is ascending at a rate of 325 feet per minute, we can use that information to determine how long it will take for the submarine to reach the surface.

The distance the submarine needs to travel to reach the surface is:

Distance = Sea level - Current depth

Distance = 0 feet - (-575 feet) = 575 feet

We can use the rate of ascent and distance to find the time it will take for the submarine to reach the surface.

Time = Distance / Rate

Time = 575 feet / 325 feet per minute

Time = 1.77 minutes

So it will take the submarine 1.77 minutes to reach the surface, assuming it continues to ascend at a rate of 325 feet per minute.

Answer:

Step-by-step explanation:

2. 63

3. 0

4. 6

5. 9

6. 10

7. 4

8. 8

9. 0

10. 5

11. 10

12. 7

13. 9

14. 5

15. 5

16. 3

17. 8

18. 0

The standard deviation of random variable K is 15.49  (option D ) and this can be determined by using the formula of mean and standard deviation.

Given,

The mean of geometric distribution of random variable K = 16

Formulae for finding mean,

                                      mean = 1/p

Substitute the value of the mean in the above formula in order to determine the value of 'p'.

[tex]16 =\frac{1}{p}[/tex]

[tex]p = 0.0625[/tex]

The formulae for standard deviation :

   S.D.=[tex]\frac{\sqrt{1-p} }{p}[/tex]

Now substitute the value of p in the above equation,

S.D. [tex]= \frac{\sqrt{1-0.0625} }{0.0625}[/tex]

       [tex]= 15.49[/tex]

Hence, the answer is option D.

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To make a 1-ounce tube of the ointment that is 4% hydrocortisone, the pharmacist needs to use 0.04 ounces of the active ingredient (hydrocortisone).

The pharmacist has 1% and 5% concentrations in stock, therefore he needs to use 0.96 ounce of the 1% concentration and 0.04 ounces of the 5% concentration.

The pharmacist should use 0.96 ounces of the 1% concentration and 0.04 ounces of the 5% concentration to make a 1-ounce tube of the ointment with the correct percentage of hydrocortisone.

It's important to note that it's important that the pharmacist needs to mix the correct amount of hydrocortisone to get the desired percentage, and also that the pharmacist needs to check the final percentage of the ointment before dispensing to ensure the safety and efficacy of the medication.

Answer:

42 divided by 6=7 so in each vase there are 7 flowers

Step-by-step explanation:

Answer:

Width = 3.773 inches

Length = 79.227 inches-

Step-by-step explanation:

g = 7(3w)             Eq. 1

166 = 2(g+w)       Eq. 2

g = length

w = width

From Eq, 1:

g = 21w              Eq. 3

Replacing Eq. 3 in Eq. 2

166 = 2(21w + w)

166 = 2(22w)

166 = 44w

166/44 = w

w = 3.773

From Eq. 3

g = 21(3.773)

g = 79.227

Check:

From Eq. 2:

166 = 2(79.227 + 3.773) = 2 * 83

Step-by-step explanation:

after mixing 1 can of concentrate and 3 cans of water, we will have 4 cans of juice.

the volume of 1 can is (as for any cylinder or regular 3D object)

base area × height

for a cylinder the bar area is the area of a circle

pi×r²

r is the radius, which is half of the diameter.

in the picture it is not fully clear what is 2.25 in long : the diameter of the radius ?

I suspect it is the diameter.

so, the radius of our cans is 2.25/2 = 1.125 in

the volume of 1 can is

pi×1.125²×4.25

and the volume of all 4 cans of juice is then

4×pi×1.125²×4.25 = 17×3.14×1.265625 = 67.5590625 in³

≈ 68 in³

so, your answer is 68.

Answer:

30

Step-by-step explanation:

Answer: 30

Step-by-step explanation:

Use  Pythagorean theorem a^2 + b^2 = c^2:

18^2 + 24^2 = c^2

324 + 576 = c^2

900 = c^2

c = 30

Answer: The equation that can be used to determine the total amount in Justin's account is:

b = 50 + (12 * w)

This equation represents the total amount in Justin's account, b, after w weeks. The equation starts with the initial amount, $50, which is the amount Justin had in his account before making any deposits. Then, it adds the amount deposited each week, $12, multiplied by the number of weeks, w. This results in the total amount in the account after w weeks.

In this equation the variable "w" represents the number of weeks that have passed and "b" represents the total balance.

Step-by-step explanation:

The greatest prime factor of 2516 is 11, so the answer is A. 11

What is the prime factor?

A prime factor is a natural number, other than 1, whose only factors are 1 and itself. The first few prime numbers are actually 2, 3, 5, 7, 11,

We can use the process of counting to find the sum of all the numbers in S.

For one-digit numbers, there are 2 possibilities (0 or 1).

For two-digit numbers, there are 2 x 2 = 4 possibilities (00, 01, 10, 11).

For three-digit numbers, there are 2 x 2 x 2 = 8 possibilities (000, 001, 010, 011, 100, 101, 110, 111).

For four-digit numbers, there are 2 x 2 x 2 x 2 = 16 possibilities (0000, 0001, 0010, 0011, 0100, 0101, 0110, 0111, 1000, 1001, 1010, 1011, 1100, 1101, 1110, 1111).

So, the sum of all the numbers in S is

2 + 4(1+2+3+4) + 8(1+2+3+4+5+6+7+8) + 16(1+2+3+4+5+6+7+8+9+10+11+12+13+14+15+16)

We can simplify this expression as

2 + 4(10) + 8(36) + 16(136)

The sum of all the numbers in S is equal to 2 + 40 + 288 + 2176 = 2516.

Hence, The greatest prime factor of 2516 is 11, so the answer is A. 11

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Hello:

 --> this problem wants us to calculate the slope between (5, -6) and (2, 3)

So we are given two points:

  --> (x1, y1): (5, -6)

  --> (x2,y2): (2, 3)

Let's consider our formula needed:

 [tex]\text{Slope} = \dfrac{y2-y1}{x2-x1}=\dfrac{3--6}{2-5} =\dfrac{9}{-3} =-3[/tex]

Thus our slope is -3

Answer: -3

The concession stand charges $2.25 for each nacho.

What is the percentage?

In mathematics, a percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, "%", although the abbreviations "pct.", "pct" and sometimes "pc" is also used. A percentage is a dimensionless number; it has no unit of measurement.

To find out how much the concession stands charge for each nacho, we need to calculate the markup percentage.

The markup percentage is calculated by:

(Markup Amount / Cost) * 100 = Markup Percentage

In this case, the markup amount is 80% of the cost of each nacho, which is:

(80/100) * $1.25 = $1

So, the markup amount is $1.

To calculate the final price of each nacho, we need to add the markup amount to the cost:

$1.25 (cost of nacho) + $1 (markup amount) = $2.25

Therefore, the concession stand charges $2.25 for each nacho.

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The price per foot is $0.29

Given,

A 3-yard piece of cotton cloth costs =  $2.61

1 Yard = 3 Foot

so, 3 Yard = 9 Foot

The Cost of cotton cloth per foot,

= 2.61/9

= 0.29

Therefore, the price per foot is $0.29

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The inequality that represents Kenny's situation is 25x ≤ 500 − 200

In mathematics, inequality is describe about the relative size or order of two values.

It states that one value is either greater than, less than, or not equal to the other value.

It is usually represented by symbols such as > (greater than), < (less than), ≥ (greater than or equal to), ≤ (less than or equal to), and ≠ (not equal to).

In this question ,

Let x be the number of basketballs Kenny needs to buy.

The inequality that represents Kenny's situation is:

25x ≤ 500 − 200

This inequality states that the total cost of purchasing the basketballs (25x) must be less than or equal to the available balance minus the desired amount after purchase (500 − 200 = 300).

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One kind of average is the mean. It is calculated by dividing the total number of values in a list of values, such as measurements or numbers, by the total number of values in the list.

Given data :

a ) Mean =

              x = [tex]\frac{\left \{ {{i=10} \atop {i=1}} \right.}{n} Xi[/tex] = 101 / 10 =  10.1 hundreds of dollars

The median is the 50th percentile To determine the location index for the median (2nd

quartile (p =50) we do the following:

The index is

                               i  = [tex]\frac{p}{100}[/tex] (n) = [tex]\frac{50}{100}[/tex] (10) = 5 integer

Since the index, 5, is an integer, the 2nd quartile is determined by finding the average of

the 5th and 6th values from the lower or higher end of the sorted data. This is:

                Median = [tex]Q_{2}[/tex] = [tex]\frac{10 + 11}{2}[/tex] = 10.5 hundreds of dollar

Mode = most frequently occurring observation = 11 hundreds of dollars ( two times )

Here i attached graph

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"

Answer: 69

Step-by-step explanation:

Answer: The answer is: 525 millimeters of compound A are needed.

Step-by-step explanation:
You have to put it in equation form to solve for compound A. To do this use variables.

7(x) + 5(x) = 900
12(x) = 900
x = 900/12
x = 75
When we get 75 you have to plug it into compound A to get this:
7(75) = 525

To confirm our answer we plug in 75 to both variables.
7(75) + 5(75) = 900

I hope this was able to help you :D

Using Algebraic Expressions, The ratio of any two numbers is five: 5/x

Many students find algebra intimidating since it's the first math course they take where they have to deal with variables, abstract ideas, and problem-solving skills. Additionally, not enough is frequently done in the classroom to relate algebra to students' daily lives and explain why it is important to comprehend.

We take into consideration a number "x" for the algebraic expression.

Two numbers are divided to produce the quotient. The ratio between five units and any number "x" is what we have here.

a mathematical expression

Quantile = 5/x

We will get various quotient outcomes depending on the value we provide to the variable "x."

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Full question"

The ratio of 5 between any number.

Ten to fifty is the range of the scores. The most frequent result is a 10 with a right-skewing bias.

Probability histogram

The height of each bar must be equal to the probability, the width of each bar must be the same, and the bars must be centered on the amount of money gathered.

The distribution is skewed to the right because the highest bar in the histogram is to the left and there is a tail of lower bars to its right.

The most frequent score is 10 due to the fact that the top bar in the histogram is centered at 10.

The result is:

Ten to fifty is the range of the scores.

The most frequent result is a 10 with a right-skewing bias.

Ten to fifty is the range of the scores.

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The data set's environment variable(s) are quantified on a nominal scale.

Describe data sets?

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The heights and locations of the three peaks in this activity are: Peak 1 is 4,064 meters (13,320 feet) and located in Ladakh, India; Peak 2 is 8,848 meters (29,029 feet) and located in Nepal; and Peak 3 is 8,611 meters (28,251 feet) and located in Pakistan.

Peak 1: Height: 4,064 m (13,320 ft), Location: Ladakh, India

Peak 2: Height: 8,848 m (29,029 ft), Location: Nepal

Peak 3: Height: 8,611 m (28,251 ft), Location: Pakistan

Peak 1: Height: 4,064 m (13,320 ft), Location: Ladakh, India

This means that the height of Peak 1 is 4,064 meters (13,320 feet) and it is located in Ladakh, India.

Peak 2: Height: 8,848 m (29,029 ft), Location: Nepal

This means that the height of Peak 2 is 8,848 meters (29,029 feet) and it is located in Nepal.

Peak 3: Height: 8,611 m (28,251 ft), Location: Pakistan

This means that the height of Peak 3 is 8,611 meters (28,251 feet) and it is located in Pakistan.

The heights and locations of the three peaks in this activity are: Peak 1 is 4,064 meters (13,320 feet) and located in Ladakh, India; Peak 2 is 8,848 meters (29,029 feet) and located in Nepal; and Peak 3 is 8,611 meters (28,251 feet) and located in Pakistan.

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