Are the following pairwise relative prime?

17, 19, 23
29, 31, 37
41, 47, 51
45, 49, 60


Find which of the following pairs of
numbers are relatively prime.

18 and 19
25 and 22
89 and 300
401 and 454

The Value of x that makes the equation -2x + 3 = -15 true is x = 9.

The value of x that makes the equation -2x + 3 = -15 true, we need to solve the equation for x.

Let's go step by step:

-2x + 3 = -15

First, we want to isolate the variable x,  subtract 3 from both sides of the equation:

-2x + 3 - 3 = -15 - 3

Simplifying, we have:

-2x = -18

Next,  divide both sides of the equation by -2 to solve for x:

-2x / -2 = -18 / -2

Simplifying further:

x = 9

Therefore, the value of x that makes the equation -2x + 3 = -15 true is x = 9.

By substituting x = 9 back into the original equation, we can verify that it satisfies the equation:

-2(9) + 3 = -18 + 3 = -15

Thus, x = 9 is the solution that makes the equation -2x + 3 = -15 true.

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The value of x from the given set of values is 5

A rectangle is a 2 dimensional shape with 4 sides and angle. The formula for calculating the area and perimeter is given as:

Area = length * width

Perimeter = 2(length + width)

If the length of a rectangle is 2 inches more than its width and the perimeter of the rectangle is 24 inches, the resulting equation will be:

2x + 2(x + 2) = 24,

Expand and determine the value of "x"

2x+ 2x + 4 = 24

4x + 4 = 24

Subtract 4 from both sides

4x = 24 - 4

4x = 20

Divide both sides by 4

4x/4 = 20/4

x = 5

Hence the value of x from the given set of values is 5

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Complete question

The length of a rectangle is 2 inches more than its width. The perimeter of the rectangle is 24 inches. The equation 2x + 2(x + 2) = 24, where x is the width in inches, represents this situation. The value of x from the set {1, 3, 5, 7} that holds true for the equation is . So, the width of the rectangle is inches and its length is inches.

The value of x is 4√6. The value of y is 4√2.

What are similar triangles?

If two triangles have the same ratio of corresponding sides and an equal pair of corresponding angles, they are similar. When two or more figures have the same shape but differ in size, they are referred to as similar figures.

Consider △ABC:

Height = AC = x, Hypoteneous = BC = 4+8 = 12.

Consider △ADC:

Height = DC = 8, Base = AD = y, Hypoteneous =  AC = x

Consider △ABD:

Height = AD = y, Base = 4.

The triangle ABC is similar to ADC, and ABC is similar to ABD. Since all have one right angle and one angle is common.

The ratio of the corresponding sides of similar triangles is constant.

Consider △ABC and △ADC:

AC/DC = BC/AC

x/8 = 12/x

x² = 12×8

x = 4√6.

Since ABC is similar to ADC and ABC is similar to ABD. Then ADC is similar to ABD.

Consider △ADC and △ABD:

DC/AD = AD/BD

8/y = y/4

y² = 4×8

y = 4√2

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Answer:

The two percent could be 100% and 400%.

Step-by-step explanation:

This would result in the length being multiplied by 4.

The number of sets is 128 by using the multiplication principle.

The multiplication principle states that if there are k events, and if the first event can happen in n_1 ways, the second event can happen in n_2 ways, and so on, then the k events can happen in n_1 × n_2 × ... × n_k ways.

To find the number of sets of four marbles include one of each color other than lavender, A bag contains two red marbles, four green ones, one lavender one, four yellows, and four orange marbles.

There are two red marbles.

There are four green ones.

There are four yellows.

There are four orange marbles.

So, total of 2 + 4 + 1 + 4 + 4 = 15 marbles in the bag.

To find the total number of sets of four marbles including one of each color other than lavender, use the multiplication principle.

In this question, there are 5 events (choosing one of each color).

The first event can happen in 2 ways.

The second event can happen in 4 ways.

The third event can happen in 4 ways.

The fourth event can happen in 4 ways.

Therefore, by the multiplication principle, the total number of sets of four marbles includes one of each color other than lavender

= 2 × 4 × 4 × 4 ⇒ 128 sets.

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Answer:

40%

Step-by-step explanation:

10% of 40 is 4

4x4=16 meaning that 10% x 4 = 40%

Answer:

40%

Step-by-step explanation:

I dont know how to really explain it I just solved it using calculator

Given that the ordered pair makes the function and these pairs are

[ (2,5), (7,1), (5,9), (8,0), ( , ) ]

Since the function is the one that has the input having only one output.

Hence, the given options (3,4) is correct.

Therefore the ( 3, 4 ) is the pair.

Answer: The question $73 out of 125 is 58.40%

Step-by-step explanation:

$73 out of 125 is what percent Answer: The question $73 out of 125 is 58.40%, which is the same as 73/125 as a percent. This can be solved using this calculator above

The $73 is approximately 58.4% of $125.

To find what percent $73 is of $125, we can use the following formula:

Percent = (Part / Whole) * 100

In this case, $73 is the part and $125 is the whole.

Substituting these values into the formula:

Percent = (73 / 125) * 100

Dividing 73 by 125:

Percent = 0.584 * 100

Multiplying 0.584 by 100:

Percent = 58.4

Therefore, $73 is approximately 58.4% of $125.

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Yes, it is possible to find a limit at a location where there is a hole in a graph , such as where a point has been removed or where a graph abruptly stops.

This is because the limit of a function is defined as the value that the function approaches as x approaches a given value. In the case of a hole in the graph, the limit is found by looking at the limit from the left, the limit from the right, and the general limit.

The limit from the left is the limit of the function as x approaches the hole from the left. The limit from the right is the limit of the function as x approaches the hole from the right. The general limit is the overall limit of the function at the point where the hole appears. By considering all of these limits, it is possible to determine the overall limit of the function at the point where the hole is present.

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Answer:

A. 144

Step-by-step explanation:

out of all 25 rolls, only 15/25 represented students that own pets. using that ratio & applying it to the 240 students:

15/25 = 0.6

0.6 x 240 = 144

please mark brainliest !

Answer:

144

Step-by-step explanation:

trust me.

Or just look at my work haha.

Answer:

0.35 because above all the probs were below 50 meaning that it was hard for them to even score one goal per game

Step-by-step explanation:

we have the expression

Remember that

Evaluate

For x=2i

substitute

Check the picture below.

well, we know the angle's cosine and sine or namely adjacent and opposite sides, let's get the hypotenuse.

\(\textit{using the pythagorean theorem} \\\\ c^2=a^2+b^2 \qquad \begin{cases} c=hypotenuse\\ a=\stackrel{adjacent}{1}\\ b=\stackrel{opposite}{-8}\\ \end{cases} c=\sqrt{1^2+(-8)^2}\implies c=\sqrt{65} \\\\[-0.35em] ~\dotfill\\\\ csc(\theta )=\cfrac{\stackrel{hypotenuse}{\sqrt{65}}}{\underset{opposite}{-8}}\implies csc(\theta )=-\cfrac{\sqrt{65}}{8}\)

The force F = r^2k(r^) is not conservative because its curl is nonzero. The force is central because it depends only on r and acts along the radial direction. Since it is not conservative, there is no potential energy function V(r) associated with this force

To determine whether the force F = r^2k(r^) is conservative and central, let's analyze its properties.

A force is conservative if it satisfies the condition ∇ × F = 0, where ∇ is the gradient operator. In Cartesian coordinates, the force can be written as F = Fx i + Fy j + Fz k, where Fx, Fy, and Fz are the components of the force in the x, y, and z directions, respectively. The curl of F is given by:

∇ × F = (∂Fz/∂y - ∂Fy/∂z)i + (∂Fx/∂z - ∂Fz/∂x)j + (∂Fy/∂x - ∂Fx/∂y)k.

Calculating the components of F = r^2k(r^):

Fx = 0, since there is no force component in the x-direction.

Fy = 0, since there is no force component in the y-direction.

Fz = r^2kr^.

Taking the partial derivatives, we have:

∂Fz/∂x = ∂/∂x (r^2kr^) = 2rkr^2(∂r/∂x) = 2rkr^2(x/r) = 2xkr^3.

∂Fz/∂y = ∂/∂y (r^2kr^) = 2rkr^2(∂r/∂y) = 2rkr^2(y/r) = 2ykr^3.

Substituting these values into the curl equation, we get:

∇ × F = (2ykr^3 - 2xkr^3)k = 2k(r^3y - r^3x).

Since the curl of F is not zero, ∇ × F ≠ 0, we conclude that the force F = r^2k(r^) is not conservative.

Now let's determine if the force is central. A force is central if it depends only on the distance from the origin (r) and acts along the radial direction (r^).

For F = r^2k(r^), the force is indeed central because it depends solely on r (the magnitude of the position vector) and acts along the radial direction r^. Hence, it can be written as F = Fr(r^), where Fr is a function of r.

Since the force is not conservative, it does not possess a potential energy function. In conservative forces, the potential energy function V(r) can be defined, and the force can be expressed as the negative gradient of the potential energy, i.e., F = -∇V. However, since F is not conservative, there is no potential energy function associated with it.

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Answer:

(12,1)

Step-by-step explanation:

(10+14)/2 and (8+-6)/2

= (12,1)

1)

Volume of sphere is 113.1 ft³.

Given radius of sphere 3 ft.

Volume of sphere is 4/3× π ×r³

Substitute the value of radius in the formula of Volume of Sphere,

Volume of Sphere= 4/3×π×r³

                             = 4/3×22/7×3³

                             = 4/3×22/7×27

                             = 113.1 ft³

Hence the given sphere has volume of 113.1 ft³ rounded to the nearest tenth.

2)

Volume of cone is 94.3 yd³

Given diameter of base of cone and height of cone.

Diameter of base = 6 yd

Radius = diameter/2

Radius= 3 yd

Height of cone = 10 yd

Volume of cone = 1/3×π×r²×h

r = radius of base of cone

h = height of cone

Substitute the values of radius and height in the formula,

Volume of cone = 1/3×π×r²×h

                          = 1/3×22/7×3³×10

                          = 660/7

                          = 94.3 yd³

Hence volume of cone rounded to the nearest tenth is 94.3 yd³.

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For the distribution of quiz score if score x = 3 or higher represents the passing grade then number of individual passed is equal to option c. 16.

Distribution of the quiz score :

x :       5      4        3        2         1

f   :      6       5        5       3          2

Here 'x' represents the score in the quiz.

And 'f' represents the frequency of number of individual got the score x.

Score x = 3 or higher is required to pass the grade.

Number of individual who passed the grade is equal to

= Frequency of [ ( x = 5 ) + ( x = 4 ) + ( x = 3 ) ]

= 6 + 5 + 5

= 16

Therefore, option c. 16 represents the number of individuals from the distribution of quiz score has passed the grade.

The above question is incomplete, the complete question is:

For the following distribution of quiz scores, if a score of X = 3 or higher is needed for a passing grade, how many individuals passed?

x :       5      4        3        2         1

f   :      6       5        5       3          2

Which one would it be the correct answer.

a. 3            b. 11          c. 16          d. cannot be determined

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Answer:

your answer would be B. -5 +3i✓3

The formula for the exponential function is V = 5000 (2)^(−t/4).

What is an exponential function?

A function whose value is a constant raised to the power of an argument is called an exponential function.

Here, we have

The value of an item initially worth $5000 loses half its value every 5 years.

V = V₀eˣⁿ

At t = 0,V = V₀

So, V = 5000eˣⁿ

At t = 4,V = V₀/2 = 2500

Substituting these into our equation, we have

5000e^(4k) = 2500

e^(4k) = 12

4k = −ln2

k = −ln2/4

Finally, we have our equation

V = 5000e^(−tln2/4 )

V = 5000(e^ln2)^(−t/4)

V = 5000 (2)^(−t/4)

Hence, the formula for the exponential function is V = 5000 (2)^(−t/4).

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First is to express all values the same way. For example, convert the fraction and percentage into decimal numbers:

60% → divide it by 100 and you get 0.6

7/11=0.63

Now you can order them

0.6<0.63<0.7

Using the original expressions you get that:

60%<7/11<0.7

Answer:

(7,9)

Step-by-step explanation:

7x - 8y = -23

7x - 7y = -14

Solve the equation for 7x

7x - 8y = -23

7x = -14 + 7y

Substitute the given value of 7x into the equation 7x - 8y = -23

-14 + 7y - 8y = -23

solve the equation for y

y = 9

substitute the given value of y into the equation 7x = -14 + 7y

7x = -14 + 7(9)

solve the equation for x

x = 7

(7,9)

The thickness of the clay layer, which drains only from the upper surface, can be determined based on the consolidation settlement observations. With 50% of consolidation settlement occurring in 1 hour for a 25 mm thick specimen, and a total primary consolidation settlement of 35 mm occurring over many years, the thickness of the clay layer is approximately 87.5 mm.

The consolidation settlement of a clay specimen can be used to estimate the thickness of a clay layer that drains only from the upper surface. In this case, the observed settlement data provides valuable information.

Firstly, we know that 50% of the consolidation settlement occurs in 1 hour for a 25 mm thick clay specimen. This is an important parameter for calculating the coefficient of consolidation (Cv) using Terzaghi's theory. From the Cv value, we can estimate the time required for full consolidation settlement.

Secondly, we are given that the same clay settles 10 mm over 10 years and eventually settles a total of 35 mm over a longer period. This long-term settlement is known as the total primary consolidation settlement. By comparing this settlement value with the settlement data from the oedometer test, we can determine the thickness of the clay layer.

To calculate the thickness, we can use the concept of the consolidation settlement ratio. The ratio of the total primary consolidation settlement to the consolidation settlement at 50% completion is equal to the ratio of the total thickness to the thickness at 50% completion. Applying this ratio, we can determine that the thickness of the clay layer, which drains only from the upper surface, is approximately 87.5 mm.

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Each transformation affects the shape and position of the graph. It is important to carefully consider the order of the transformations and their impact on the equation.

1. Horizontal Shift (c):
If there is a horizontal shift, the equation becomes y = (x - c)^3.
For example, if there is a shift of 2 units to the right, the equation would be y = (x - 2)^3.

2. Vertical Shift (d):
If there is a vertical shift, the equation becomes y = x^3 + d.
For example, if there is a shift of 3 units upwards, the equation would be y = x^3 + 3.

3. Vertical Stretch (a):
If there is a vertical stretch or compression, the equation becomes y = a * x^3.
For example, if there is a vertical stretch by a factor of 2, the equation would be y = 2 * x^3.

4. Reflection (along the x-axis):
If there is a reflection along the x-axis, the equation becomes y = -x^3.
This flips the graph of the original function upside down.

5. Reflection (along the y-axis):
If there is a reflection along the y-axis, the equation becomes y = (-x)^3.
This mirrors the graph of the original function.

6. Combined Transformations:
If there are multiple transformations, we can apply them in the order they are given. For example, if there is a vertical stretch by a factor of 2 and a horizontal shift of 3 units to the right, the equation would be y = 2 * (x - 3)^3.

Remember, each transformation affects the shape and position of the graph. It is important to carefully consider the order of the transformations and their impact on the equation.

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Answer:

Total consumer spending is 160

Step-by-step explanation:

Here , we are interested in calculating the total consumer spending.

In a long run perfect competition market, price interest with MC and minimum point of AC

Hence , P = AC

this means that Q = 40,000/P = 40,000/150 = 266.67 which is approximately 267 potatoes will be consumed

The total consumer spending is thus 267 * 0.6 = 160

It will take 6 weeks for the sprout in Jessi's garden to grow 13 cm tall.

Given that,
A sprout in Jessie’s garden is 5 1/5 cm tall and is growing 1 3/10 cm each week. Write and solve equality in order to resolve how many weeks it will take for the plant to be 13 cm tall is to be determined.

In calculation, it deals with number of procedures according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication, and division,

Here,
Let the number of weeks be x, the height after each week be y
According to the question,
y = 5 1 /5 + 1 3/10 x
y = 26 / 5 + 13 / 10x
Now,

y = 13
13 = 26 / 5 + 13 /10x
13/10x = 13 - 26 / 5  
x = 39 × 10 / 5 × 13
x = 3  ×2
x = 6

Thus, it will take 6 weeks for the sprout in Jessi's garden to grow 13 cm tall.

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Answer:

-810

Step-by-step explanation:

I found the answer but this is correct for khan

Answer:

a. the relationship is nonlinear. for the graph to be linear, the points must form one straight and consistent line.

b. the relationship is increasing

c. domain: (1, 2, 3, 4, 5, 6, 7) this may be written differently but the domain goes from 1 to 7

So sorry I messed it up I let you down :(

Answer:

55 cm²

Step-by-step explanation:

In a parallelogram, the top base is equal to the bottom base (and the sides are equal to each other too!)

So the top and bottom base are both 9, and the left and right sides are both 5.

So, to solve, we need to use the equation:

(4 + 1) * (9 + 2) = 5 * 11 = 55 cm²