find a GCF of 24 and 48

Answer:

109

Step-by-step explanation:

as we can see x is an outer exterior angle and according to its property sum of an interior angle and an outer exterior angle = 180

The interior angle is 40+31 = 71

71 + x = 180

x = 180 -71

therefore x = 109

Step-by-step explanation:

here

-11r ≥ 220

-11r/-11 ≥ 220/-11 (dividing both side with -11 to eliminate -11 )

r ≥-20

The order of every element in (Z18, +) is as follows:

Order 1: 0

Order 3: 6, 12

Order 6: 3, 9, 15

Order 9: 2, 4, 8, 10, 14, 16

Order 18: 1, 5, 7, 11, 13, 17

The set (Z18, +) represents the additive group of integers modulo 18. In this group, the order of an element refers to the smallest positive integer n such that n times the element yields the identity element (0). Let's find the order of every element in (Z18, +):

Element 0: The identity element in any group has an order of 1 since multiplying it by any integer will result in the identity itself. Thus, the order of 0 is 1.

Elements 1, 5, 7, 11, 13, 17: These elements have an order of 18 since multiplying them by any integer from 1 to 18 will eventually yield 0. For example, 1 * 18 ≡ 0 (mod 18).

Elements 2, 4, 8, 10, 14, 16: These elements have an order of 9. We can see that multiplying them by 9 will yield 0. For example, 2 * 9 ≡ 0 (mod 18).

Elements 3, 9, 15: These elements have an order of 6. Multiplying them by 6 will yield 0. For example, 3 * 6 ≡ 0 (mod 18).

Elements 6, 12: These elements have an order of 3. Multiplying them by 3 will yield 0. For example, 6 * 3 ≡ 0 (mod 18).

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A) the three inequalities that must be satisfied are:

B) Graph shaded and satisfying all conditions is attached.

An inequality in mathematics is a relationship that makes a non-equal comparison between two integers or other mathematical expressions.

It is most commonly used to compare the sizes of two numbers on a number line.

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Step-by-step explanation:

As angle BAD is a right angle (90°), angles BAC and CAD must sum up to 90°.

Therefore angle CAD = Angle BAD - Angle BAC

= 90° - (x + 20)°

= (70 - x)°

Hence the answer is G.

Answer:

Area of shaded region is 18π square unit

Step-by-step explanation:

Please mark brainliest

Answer:

18π cm²

Step-by-step explanation:

The shaded region is calculated as

A = area of circle × fraction of circle

   = πr² × \(\frac{80}{360}\) ( r is the radius of the circle )

   = π × 9² × \(\frac{2}{9}\)

   = 81π × \(\frac{2}{9}\)

   = 9π × 2

   = 18π cm²

The frictional force acting on the cylinder is F= (4.0N)i when a fishing line wrapped around a uniform solid cylinder exerts a constant, horizontal force on it of magnitude 12 app n.

Given that,

A fishing line wrapped around a uniform solid cylinder exerts a constant, horizontal force on it of magnitude 12 app n. The cylinder has a radius of 0.10 m, a mass of 10 kg, and rolls smoothly on the horizontal surface.

We have to find what is the cylinder being frictionally forced by.

We know that,

To ensure that the angular acceleration is positive, we make the unorthodox decision to treat the clockwise sense as positive (as is the linear acceleration of the center of mass, since we take rightward as positive). Applying the linear form of Newton's second law results in

(12 N)−f=Ma

Therefore, f=−4.0 N.

The friction force is discovered to point rightward with a magnitude of 4.0 N, or, in contrast to what we thought when formulating our force equation,

F= (4.0N)i

Therefore, The frictional force acting on the cylinder is F= (4.0N)i when a fishing line wrapped around a uniform solid cylinder exerts a constant, horizontal force on it of magnitude 12 app n.

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The number of different ways to distribute the cubes in each scenario can be found using combinations.

a. You have 3 cubes to give to 2 people: The number of ways to distribute the cubes can be calculated using combinations: C(3, 2) = 3! / (2! * (3-2)!) = 3 ways. b. You have 4 cubes to give to 2 people:

C(4, 2) = 4! / (2! * (4-2)!) = 6 ways. c. You have 5 cubes to give to 2 people: C(5, 2) = 5! / (2! * (5-2)!) = 10 ways. d. You have 3 cubes to give to 3 people: C(3, 3) = 3! / (3! * (3-3)!) = 1 way. e. You have 4 cubes to give to 3 people: C(4, 3) = 4! / (3! * (4-3)!) = 4 ways. f. You have 5 cubes to give to 3 people: C(5, 3) = 5! / (3! * (5-3)!) = 10 ways.

Conjecture for distributing 7 cubes to 4 people: Based on the pattern observed in the previous calculations, it seems that the number of different ways to distribute 7 cubes to 4 people can be found using combinations. Using combinations: C(7, 4) = 7! / (4! * (7-4)!) = 7! / (4! * 3!) = (7 * 6 * 5) / (3 * 2 * 1) = 35. Therefore, the conjecture is that there are 35 different ways to distribute 7 cubes to 4 people. Explanation: This conjecture is based on the concept of combinations, where we choose a certain number of objects from a larger set without considering the order. In this case, we are selecting the number of cubes for each person, and the order in which they receive the cubes does not matter. If each person were required to get at least one cube: In this scenario, we need to ensure that each person receives at least one cube.

a. You have 3 cubes to give to 2 people: In this case, it is not possible for each person to receive at least one cube since there are fewer cubes than people. Therefore, no valid distribution is possible. b. You have 4 cubes to give to 2 people: In this case, each person can receive one cube, and the remaining two cubes can be distributed in C(2, 2) = 1 way. So, there is only 1 valid distribution. c. You have 5 cubes to give to 2 people:

Again, each person can receive one cube, and the remaining three cubes can be distributed in C(3, 2) = 3 ways. So, there are 3 valid distributions. d. You have 3 cubes to give to 3 people: In this scenario, it is not possible to satisfy the requirement of each person receiving at least one cube since there are fewer cubes than people. No valid distribution is possible. e. You have 4 cubes to give to 3 people: Each person can receive one cube, and the remaining cube can be given to any of the three people. So, there are 3 valid distributions. f. You have 5 cubes to give to 3 people: Each person can receive.

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Answer:

So,

All we have to do is multiply all three dimensions together.

First, convert all fractions into improper fractions.

Now multiply the fractions together.

The correct option is C. 12.6 ft cubed

Brainlist plz

Step-by-step explanation:

Answer:

A total of zero softballs will fit into the container

Step-by-step explanation:

step 1

Find the dimensions of the base  of the prism

we know that

The volume of the prism is equal to where

B is the area of the base

h is the height of the prism

In this problem we have

substitute in the formula and find the area of the base B

the length side of the square base is the square root of the area

so we have that

The diameter of the softball 3.8 inches will fit (11/3.8=2.89 )  2 times  in the length of the container

The diameter of the softball 3.8 inches will fit  0 times  in the width of the container

so

A total of 0 times of softballs will fit  in the width of the container

therefore

A total of zero softballs will fit into the container

idek i got this from someone else

Answer:

the answer is c .25

Step-by-step explanation:

hope this helps :)

Answer:

429

Step-by-step explanation:

Answer:

Answer is: 8 2/3 but improper is 26/3

Answer:

She has 140 coins in total.

Step-by-step explanation:

Since 7 coins is only 5% of the entire collection, 7 coins=5%. 100% is the total. So first you need to divide 100 by 5 which is 20 (100÷5=20). Next, you need to multiply 20 by 7 (20×7=140) to find out how much coins she has in total.

Hope this helps you!

The probability that both spins result in the same color is 0.38.

Here, we have,

Probability of getting ...

orange on both spins = (3/6) x   (3/6) =9/36

green on both spins = (1/6) x  (1/ 6) =  1/36

blue on both spins = (2/6)x (2/6) =  4/36

So the total   probability of getting the same color in both spins is computed as        

= 9/36 + 1/36 + 4/36

= 14/36

= 0.38

So the correct answer is 0.38 or 7/18.

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Answer:

304

Step-by-step explanation:

2100÷7=300

300+interest=300+4

=304

Answer:

y=-4

Step-by-step explanation:

The answer is going to be -4 as when y=-16 x=8.

The number of terms the series needed so that the remainder is less than 0.0005 is 14. The smallest integer value of n for which this is true is 14.

To find the number of terms needed for the remainder to be less than 0.0005, we need to use the remainder formula for an infinite series:
Rn = Sn - S
where Rn is the remainder after adding n terms, Sn is the sum of the first n terms, and S is the sum of the infinite series.

For this series, S can be found using the formula for the sum of a p-series:
S = Σ[infinity] 2/n^6 n=1 = π^6/945

Now we need to find the smallest value of n for which Rn < 0.0005. We can rewrite the remainder formula as:
Rn = Σ[infinity] 2/n^6 - Σ[n] 2/n^6

Simplifying the first term using the formula for the sum of a p-series, we get:
Σ[infinity] 2/n^6 = π^6/945

Substituting this into the remainder formula, we get:
Rn = π^6/945 - Σ[n] 2/n^6

We want Rn < 0.0005, so we can set up the inequality:
π^6/945 - Σ[n] 2/n^6 < 0.0005

Solving for n using a calculator or computer program, we get:
n ≥ 14

Therefore, we need at least 14 terms of the series Σ[infinity] 2/n^6 n=1 to ensure that the remainder is less than 0.0005, and the smallest integer value of n for which this is true is 14.

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Answer:

y= ½x +5

Step-by-step explanation:

Slope- intercept form:

y= mx +c, where m is the slope and c is the y- intercept

Given that the slope is ½, substitute m= ½ into the equation.

y= ½x +c

To find the value of c, substitute a pair of coordinates into the equation.

When x= -2, y= 4,

4= ½(-2) +c

4= -1 +c

c= 4 +1

c= 5

Hence, the equation of the line is y= ½x +5.

Brian is incorrect because the rate of change is change in  y over change in x. Soimone is correct because the initial value and y-intercept are the same thing.

A linear equation is in  the form:

y = mx + b

where y, x are variables, m is the rate of change (slope) and b is the y intercept (initial value of y)

The rate of change (m) = (change in  y)/(change in x).

Brian is incorrect because the rate of change is change in  y over change in x. Soimone is correct because the initial value and y-intercept are the same thing.

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Step-by-step explanation:

please tell me where is the equation.

Answer:

Step-by-step explanation:

you gotta multiply the mins which is 40 by 60 which is 2, 400 meters per hour

Answer:

1,2,4,8 GCF=8

Step-by-step explanation:

Answer:

C) x=35

Step-by-step explanation:

First, we know that the total amount of degrees in a rotation is 360. As the picture tells us, the opposite angles will be exactly the same. Taking this information, we can have the following equation:

4x + 2(3x+5) = 360

By now using our linear equation skills, we get:

10x+10=360

10x=350

x=35

The degree amount of x for c) is 35 degrees.

C. Since the angles form a linear pair, their sum equals 180.

So, 2x + 3x + 5 = 180

x=35

D. Since the angles are verticle, they equal each other.

So, 3x + 5 = 5x -57

x=31

The percent of medical residents less than 28 years old is 69.15%.

For a normally distributed set of data, given the mean and standard deviation, the probability can be determined by solving the z-score and using the z-table.

First, solve for the z-score using the formula below.

z-score = (x – μ) / σ

where x = individual data value = 28

μ = mean = 27

σ = standard deviation = 2

z-score = (28 - 27) / 2

z-score = (1) / 2

z-score = 0.5

Find the probability that corresponds to the z-score in the z-table. (see attached images)

at z = 0.5,     p = 0.6915

Multiply the probability by 100 to get the percentage.

% = p x 100

% = 0.6915 x 100

% = 69.15

Hence, the percent of medical residents that are less than 28 years old is 69.15%.

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We have shown that if zo is a zero of a linear phase filter, then zo¹ = zo + Δz is also a zero. This holds true because the linear phase property ensures that the filter's phase response varies linearly with frequency, and hence, any frequency offset from zo will yield a corresponding zero in the transfer function.

For a linear phase filter, the phase response is linearly proportional to the frequency. Let's consider a linear phase filter with a zero at frequency zo. The transfer function of the filter can be expressed as H(z) = A(z - zo), where A is a constant and z represents the complex frequency variable.

To find the zero at zo¹, we need to analyze the filter's transfer function at a frequency offset from zo. Let's substitute z with (z - Δz) in the transfer function, where Δz represents a small frequency offset. The new transfer function becomes H(z - Δz) = A((z - Δz) - zo).

Now, let's evaluate the new transfer function at the frequency zo¹ = zo + Δz. Substituting zo¹ into the transfer function, we have H(zo¹ - Δz) = A((zo¹ - Δz) - zo).

Expanding the equation, we get H(zo¹ - Δz) = A(zo¹ - Δz - zo) = A(zo - zo + Δz - Δz) = A(0) = 0.

Therefore, we have shown that if zo is a zero of a linear phase filter, then zo¹ = zo + Δz is also a zero. This holds true because the linear phase property ensures that the filter's phase response varies linearly with frequency, and hence, any frequency offset from zo will yield a corresponding zero in the transfer function.

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D. There is a negative correlation which indicates that as high school female athletes increase in weight, they tend to have less body fat.

The value of -0.035 represents the correlation coefficient between weight (pounds) and percent of body fat (BF%).

Interpreting the correlation coefficient: A correlation coefficient measures the strength and direction of the relationship between two variables. In this case, the correlation coefficient is -0.035.

Since the correlation coefficient is negative (-0.035), it indicates a negative correlation between weight and body fat percentage.

Therefore, the correct interpretation is

There is a negative correlation which indicates that as high school female athletes increase in weight, they tend to have less body fat.

The negative correlation suggests that as weight increases, the body fat percentage tends to decrease for high school female athletes in this study. However, please note that the magnitude of the correlation coefficient (-0.035) indicates a relatively weak relationship between weight and body fat percentage.

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