a sequence is ---select--- sequence when the first differences are all the same nonzero number.

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Actually Welcome to the Concept of the Probabilities.

Here, In the game of cards, we have total number of 52 cards in a deck. Since here we have to find the probability of Card 6 from the whole deck.

Let's solve,

Total Number of Cards we have = 52

Total number of 6 numbered Cards in deck = 4

Hence, probability = Favourable Outcomes ÷ Total No. of Outcomes.

So, the Probability of getting a 6 Card = 4/52

= 1/13

Hence the probability is 1/13.

The blank space in the statement is to be filled with the term that defines the prediction about how the levels of one independent variable will combine with another independent variable to impact the dependent variable in a way that extends beyond the sum of the two separate main effects.

Effect is a prediction about how the levels of one independent variable will combine with another independent variable to impact the dependent variable in a way that extends beyond the sum of the two separate main effects. Interaction effect refers to the difference in effect when two or more variables or factors are combined, and the combined effect is different from the sum of the effects when the variables or factors are considered separately.

For example, if the effect of a drug A on disease X is 20% and the effect of a drug B on disease X is 30%, the interaction effect of drugs A and B should be greater than 50%. Therefore, it is expected that the interaction effect of drugs A and B on disease X will be greater than 50%.

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Based on the Alternate Interior Angles Theorem, the measure of angle 3 in the image attached below is: 100°

If we have a situation where two parallel lines are intersected by a transversal, according to the Alternate Interior Angles Theorem, the pairs of alternate interior angles formed are congruent.

Angles 7 and 3 lie in the interior sides of the parallel lines but on opposite sides of the transversal, which makes them alternate interior angles. Therefore, based on the Alternate Interior Angles Theorem, we have:

m<3 = m<7

Substitute:

m<3 = 100°

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The factorization of the given expression, 3x² - 10x + 8, is expressed completely as: (x - 2)(3x - 4).

Given the expression, 3x² - 10x + 8, to factorize, follow the steps below:

Find two factors that will give you -10 when you add them and also give you 24 when you multiply them. Let's use -6 and -4.

3x² - 6x - 4x + 8

(3x² - 6x) - (4x + 8)

3x(x - 2) - 4(x - 2)

(x - 2)(3x - 4)

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Answer:

2 and 3

Step-by-step explanation:

Answer: 7=6=3=2 and 8=5=4=1

Step-by-step explanation:

For 2 straight lines crossing, opposite angles are equal. And because the 2 vertical lines are parallel, both sets (1234 and 5678) of angles are the same. Let me know if that is too confusing

Answer:

f shape, I don't know if I'm correct

Answer: k = 3

-2k - 4k = -18

-2k - 4k = -18

-6k = -18

k = -18/-6

k = 3

Would appreciate brainly <3

Answer:

Step-by-step explanation:

=> -2k - 4k = -18

=> -6k = -18

\( = > k = \frac{ - 18}{ - 6} \)

=> k = 3 (Ans)

Answer:

15*5 = 75

Step-by-step explanation:

Given a parallelogram ABCD,

Since it is a parallelogram,

Also,

Therefore, the line segment parallel to CD passing through A , must fall on AB.

Answer:

4

3

+

5

9

2

−

8

0

Step-by-step explanation:

The area of the regular polygons with 12 sides(dodecagon) and 5 sides (pentagon) are 389.06 in² and 19.87 in² respectively.

Area of regular polygon = 1/2 × apothem × perimeter

perimeter = (s)side length of octagon × (n)number of side.

apothem = s/[2tan(180/n)].

11 = s/[2tan(180/12)]

s = 11 × 2tan15

s = 5.8949

perimeter = 5.8949 × 12 = 70.7388

Area of dodecagon = 1/2 × 11 × 70.7388

Area of dodecagon = 389.0634 in²

Area of pentagon = 1/2 × 5.23 × 7.6

Area of pentagon = 19.874 in²

Therefore, the area of the regular polygons with 12 sides(dodecagon) and 5 sides (pentagon) are 389.06 in² and 19.87 in² respectively.

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Here are the vectors **t**, **n**, and **b** at the given point:

* **t** = (-3 sin t, 3 cos t, 0)

* **n** = (-3 cos t, -3 sin t, 3 / cos^2 t)

* **b** = (3 cos^2 t, -3 sin^2 t, -3)

The vector **t** is the unit tangent vector, which points in the direction of the curve at the given point. The vector **n** is the unit normal vector, which points in the direction perpendicular to the curve at the given point. The vector **b** is the binormal vector, which points in the direction that is perpendicular to both **t** and **n**.

To find the vectors **t**, **n**, and **b**, we can use the following formulas:

```

t(t) = r'(t) / |r'(t)|

n(t) = (t(t) x r(t)) / |t(t) x r(t)|

b(t) = t(t) x n(t)

```

In this case, we have:

```

r(t) = (3 cos t, 3 sin t, 3 ln cos t)

r'(t) = (-3 sin t, 3 cos t, 3 / cos^2 t)

```

Substituting these into the formulas above, we can find the vectors **t**, **n**, and **b** as shown.

The vectors **t**, **n**, and **b** are all orthogonal to each other at the given point. This is because the curve is a smooth curve, and the vectors are defined in such a way that they are always orthogonal to each other.

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The binormal vector (b) is perpendicular to both the tangent and normal vectors and completes the orthogonal coordinate system.

To find the vectors t, n, and b at the given point, we need to calculate the first derivative, second derivative, and third derivative of the position vector r(t).
Given r(t) = (3 cos t, 3 sin t, 3 ln cos t), we can calculate the derivatives as follows:
First derivative:
r'(t) = (-3 sin t, 3 cos t, -3 sin t / cos t)
Second derivative:
r''(t) = (-3 cos t, -3 sin t, -3 cos t / cos^2 t + 3 sin^2 t / cos t)
       = (-3 cos t, -3 sin t, -3 cos t / cos^2 t + 3 tan^2 t)
Third derivative:
r'''(t) = (3 sin t, -3 cos t, 6 cos t / cos^3 t - 6 sin t / cos t)
        = (3 sin t, -3 cos t, 6 sec^3 t - 6 tan t sec t)
At the given point (3, 0, 0), substitute t = 0 into the derivatives to find the vectors:
r'(0) = (0, 3, 0)
r''(0) = (-3, 0, 3)
r'''(0) = (0, -3, 6)
Therefore, at the given point, the vectors t, n, and b are:
t = r'(0) = (0, 3, 0)
n = r''(0) = (-3, 0, 3)
b = r'''(0) = (0, -3, 6)
These vectors represent the tangent, normal, and binormal vectors, respectively, at the given point.
The tangent vector (t) represents the direction of motion of the curve at that point. The normal vector (n) is perpendicular to the tangent vector and points towards the center of curvature.

The binormal vector (b) is perpendicular to both the tangent and normal vectors and completes the orthogonal coordinate system.
Remember to check your calculations and units when applying this method to different functions.

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It takes skilled persuasion techniques to get most businesses to make adjustments promptly can be considered true.

In the business world, decision-making processes can be complex and involve various stakeholders with different interests and priorities. When it comes to making adjustments or changes within a business, it often requires convincing and influencing these stakeholders to adopt new strategies, methods, or practices.

Skilled persuasion techniques can play a crucial role in effectively communicating the benefits, rationale, and potential positive outcomes of the proposed adjustments. Persuasion techniques such as effective communication, presenting compelling evidence, highlighting the advantages, addressing potential concerns, and building consensus can help in gaining support and cooperation from key decision-makers and individuals within the organization.

Without employing persuasive techniques, it can be challenging to prompt businesses to make adjustments promptly. Business leaders and employees may be resistant to change, have competing priorities, or lack a clear understanding of the benefits and implications of the proposed adjustments. Skilled persuasion techniques, when applied appropriately, can help overcome these barriers and facilitate prompt decision-making and implementation of necessary adjustments within the business.

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The measure of the angle of the triangle is ∠Q = 72.1°

Given data ,

Let the triangle be represented as ΔQRS

Now , the measure of sides of the triangle are

SQ = 75 inches

And , RS = 23 inches

From the trigonometric relations , we get

cos θ = adjacent / hypotenuse

On simplifying , we get

cos Q = 23/75

cos Q = 0.3066667

Taking inverse on both sides , we get

The inverse of the cosine function is Q = cos⁻¹ ( 0.306667 )

Q = 72.14°

Hence , the angle is Q = 72.1°

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Answer:

D. 50.

Step-by-step explanation:

50 trials . The greater the number of trials the closer will the experimental probability be to the theoretical.

Answer: 1/2 is the slope.

Step-by-step explanation: (-2-6)/(2-6) = -8/-4

-8/-4 Simplified is 1/2

Therefore 1/2 is your slope

Hope this helps!

The value of x is 6 if E is the midpoint of the segment.

Given,

E is the midpoint, so DE = EF

DE = 3x

EF = 18

Since DE = EF,

3x = 18

x  =18/3

x = 6

If x = 6 , then

DE = 3x

DE = 3(6)

DE = 18

therefore, DE = EF since E is the mid point.

EF = 18

hence we get the value of x as 6.

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Answer:

10,000

Step-by-step explanation:

Answer:

93°

Step-by-step explanation:

360 - 244 - 23 = b

b = 93

Answer:

224-23= 201

So it an obtuse angle it over 90 degrees

Step-by-step explanation:

Answer:

the peremiter will be 2 x one factor +2 the other factor. lets say the area of the rectangle is square feet. then the rectangle could be 8x12; so the perimeter would be 2x8+2×12 or 40 but the rectangle could also be 6 x 16 the peremiter would be 44

The mass percent of acetic acid in a bottle of vinegar is 5.45%, which means that for every 100 grams of vinegar, 5.45 grams of acetic acid are present.

This measurement is typically determined through a chemical analysis of the substance, where the amount of acetic acid is compared to the total mass of the solution. In this case, the vinegar is diluted in water, which affects the overall mass percent. The mass percent of acetic acid is an important measurement for understanding the potency and concentration of vinegar, which is commonly used in cooking and cleaning. The mass percent of acetic acid in a bottle of vinegar refers to the proportion of acetic acid in the solution compared to the total mass of the solution. In this case, the mass percent of acetic acid is 5.45%, meaning that for every 100 grams of the vinegar solution, 5.45 grams is acetic acid and the remaining 94.55 grams is water. This percentage helps to determine the strength and acidity of the vinegar, which can be useful in various applications such as cooking, cleaning, and preserving foods.

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Answer:

C

Step-by-step explanation:

we should set the equations based on what we know using y=mx+b

in the first set, we have m=5 and the +b as 100. This gives y=5x+100

in the second, we  m=20  and the +b of 10. This gives y=20x+10

I belive C would match this. Hope this helps!

Answer:

y=10x+20

y=5x+100

Step-by-step explanation:

Answer:

$1,575

Step-by-step explanation:

Answer:

x/5 +1 = 21

Step-by-step explanation:

x is your variable. first step is divided by 5, so you put x/5. then it says add 1 so simply add it on to the equation x/5 + 1. the entire equation equals to 21 so you put the equal sign after x/5 +1 =21

The probability that the single server queuing system will contain 6 or more customers is 0.9779 (option d). This means that there is a high likelihood that the system will have at least 6 customers at any given time.

To calculate this probability, we can use the formula for the steady-state probability of the system being in state n or more, which is given by:
P(n or more) = (1 - ρ) * ρ^n / (1 - ρ^(N+1))
where ρ is the traffic intensity (arrival rate / service rate) and N is the number of servers. In this case, we have a single server, so N = 1.
First, we need to calculate the traffic intensity ρ. The arrival rate is 7 customers per hour, and the service rate is 15 customers per hour.
ρ = 7 / 15 = 0.4667
Next, we substitute the values into the formula:
P(6 or more) = (1 - 0.4667) * (0.4667^6) / (1 - 0.4667^(1+1))
P(6 or more) ≈ 0.9779
Therefore, the probability that the system will contain 6 or more customers is approximately 0.9779, or option d.

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Answer:

It is wrong

Step-by-step explanation:

What we have is as follows;

9x + 2 = 8x^2 + 6x

Bringing 9x + 2 yo the right hand side, we have;

8x^2 + 6x -9x -2 = 0

8x^2 -3x -2 = 0

So what is used here is the quadratic formula and we want to try to see if it was used correctly.

The form we have in the question is however;

-8x^2+ 3x + 2 = 0

which is obtained by taking the right hand side of the equation to the left

Now;

using the quadratic formula;

x = -b ± √(b^2 -4ac)/2a

where a is -8

b = 3

c = 2

Thus we have

-3 ± √(9 - 4(-8)2)/2(-8)

-3 ± √(9 + 64)/(-16)

So where is wrong is in the square root

what we are supposed to have is 9 + 64 = 73 and not otherwise

Answer:

Step-by-step explanation:

No. The correct values of a, b, and c were substituted in, but the formula was simplified wrong. The 64 should be added so the radicand is 73. There should be 2 real roots.

a) Using a base 2, the exponential function can be written as follows:

A(t) = 100(2)^(-t/235)

b) The amount of substance remaining after 1000 years is given as follows: 5.2 grams.

The exponential function for this problem is defined as follows:

A(t) = 100(0.5)^(t/235).

Which gives the amount of a substance after t years, considering a half life of 235 years.

The base can be changed to 2 as follows:

A(t) = 100(2)^(-t/235).

As exchanging the sign of the exponent, the numerator and the denominator of the base are exchanged, and 0.5 = 1/2.

The amount of the substance after 1000 years is calculated as follows:

A(1000) = 100 x (0.5)^(1000/235) = 5.2 grams.

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Answer:

a. x² + 6x + 9 = -22 + 9

Step-by-step explanation:

they moved the 22 to the right by subtracting it. this leaves a binomial on the left side, which if what you want to solve it.

then they completed the square by dividing b (6) by 2 = 3. then squaring 3 to get 9.

if you added 9 to the left, then you have to add 9 to the right, therefore resulting in -22 + 9.

Answer:

In TTM/Imagine Math it is top left or a.

Step-by-step explanation:

Answer:

4.75

Step-by-step explanation:

ABC is a 30-60-90 triangle. AB is the short leg that we are looking for. AC is the longer leg and it is 9.5. The short leg is half the length of the long leg, so AB = 4.75

Answer:

4.75

Step-by-step explanation:

ABC is a 30-60-90 triangle. AB is the short part that we are looking for. AC is a longer part and it is 9.5. The short part is half the length of the long leg, so AB = 4.75

12 divided by 3 is 4 witch means he goes 4 miles every day

4 times 20 is 80

so I think it takes him 20 days to reach 80 miles

Answer:

20 days

Step-by-step explanation:

3days/12mi = 4 miles per day

80/4= 20 days