suppose you want to find how many ways we can select five door prizes from seven different ones and distribute them among five people. would you use a combination or a permutation?

Hey there!

\(|\displaystyle\frac{x-1}{2} |=7\)

Let's say that x-1 is negative:

\(\displaystyle\frac{-x+1}{2} =7\)

The first step is to multiply both sides by 2:

\(\text{-x+1=14}\)

Now, move 1 to the right, using the opposite operation:

\(\text{-x=14-1}\)

\(\text{-x=13}\)

Divide both sides by -1:

\(\text{x=-13}\)

I hope you find my answer helpful.

Good luck!

Have a great day!

\(\bf{StargazingWithJoy}\)

Answer:

l = 40 m

Step-by-step explanation:

The formula for area of a rectangle is

A = lw, where

Step 1:  Since we're given the area and width, we plug in these two values for A and w and to solve for l (length):

360 = 9l

Step 2:  Divide both sides by 9 to solve for l

(360 = 9l) / 9

40 m = l

Optional Step 3:  We can check our answers by checking that the product of 40 and 9 is 360

40 * 9 = 360

360 = 360

Answer:

Its C

Step-by-step explanation:

The line is not straight so it is not linear and it is going upwards so it is increasing

The 4 tests for similar triangles are:-

AAA: Three pairs of equal angles.

SSS: Three pairs of sides in the same ratio.

SAS: Two pairs of sides in the same ratio and an equal included angle.

ASA: Two angles and the side included between the angles of one triangle are equal

What is AAA,SAS,ASA,SSS?

According to the SSS rule, two triangles are said to be congruent if all three sides of one triangle are equal to the corresponding three sides of the second triangle. 

According to the SAS rule, two triangles are said to be congruent if any two sides and any angle between the sides of one triangle are equal to the corresponding two sides and angle between the sides of the second triangle.

According to the ASA rule, two triangles are said to be congruent if any two angles and the side included between the angles of one triangle are equal to the corresponding two angles and side included between the angles of the second triangle.

According to the  AAA rule, "if in two triangles, corresponding angles are equal, then their corresponding sides are in the same ratio (or proportion), and hence the two triangles are identical."

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Answer:

output value when x = 3 is -13/3

Step-by-step explanation:

Given the equation that describe the relationship between x and y expressed as y = -4/3x + 1/3

Let us find the output value y if x = 3

Substitute

y = -4/3(3) + 1/3

y = --4 * 1 + 1/3

y = -4 + 1/3

y = -4 1/3

y = -13/3

Hence the output value when x = 3 is -13/3

Box B has the smaller range of masses, with a range of 49 grams, compared to Box A's range of 97,649 grams.

The question asks which of the boxes has the smaller range of masses and what is the value of this range in grams (g).
To find the range, we need to subtract the smallest value from the largest value in each box.
In Box A, the smallest value is 4 and the largest value is 97653. So, the range in Box A is 97653 - 4 = 97649 g.
In Box B, the smallest value is 2 and the largest value is 8762. However, we are given that key 35 represents a mass of 53 g and key 51 represents a mass of 51 g. So, the actual largest value in Box B is 51. Therefore, the range in Box B is 51 - 2 = 49 g.
Comparing the ranges, we can see that the range in Box B (49 g) is smaller than the range in Box A (97649 g).

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the total amount of money that jayden made when both paychecks were the same is $99.45

To determine the number of hours Jayden worked the week his paycheck was the same for both jobs, we can solve an equation. The equation we'll use is 14.86h + 17.10 = 99.45. We can subtract 17.10 from both sides, leaving 14.86h = 82.35. Then we cane b divide both sides of the equation by 14.86, which will give us the result of h = 5.55 hours. The total amount of money that Jayden made when both paychecks were the same is 99.45. This can be confirmed by combining his earnings for both jobs, which would be 9.64h + 82.35 + 14.86h + 17.10 = 99.45.

Jayden worked 5.55 hours in the week his paycheck was the same for both jobs, and he earned a total of $99.45.

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There are a total of 720 permutations of the letters in the word "peppermint".

To calculate this, we use the formula n!/(r! * (n-r)!) where n is the number of objects (in this case, letters) and r is the number of objects chosen from that set. In this case, n = 10 (10 letters in "peppermint") and r = 10 (all 10 letters are chosen).

So, 10!/(10! * (10-10)!) = 10!/(10! * 0!) = 10!/(10!) = 1, which simplifies to 1. That means that there is one way to choose all 10 letters from the word "peppermint", so the total number of permutations is 1 * 10! = 10! = 3628800, or 720.

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Answer: y=-2x+8

Step-by-step explanation:

To find the slope of the line, you would use \(\frac{y_{2}-y_{1} }{x_{2} -x_{1} }\). With the 2 points we are given , we can plug it into this equation to find the slope.

\(\frac{0-8}{4-0} =\frac{-8}{4} =-2\)

Now we know the slope is -2. To find the y-intercept, we know that the x value is 0. We are given that one of the points is (0,8). That means 8 is our y-intercept.

The final equation we get is y=-2x+8.

Answer:

y= -2×+8

Step-by-step explanation:

find m(slope)

y2-y1 over x2-x1

substitute using (0,8) and (4,0)

m=-2

y=mx+b

substitute x and y to find b using either (0,8) or (4,0)

0=-2(4) + b

0= -8 +b

0+8= -8+8 +b

8=b

y= -2x + 8

0.688 will be the probability of getting a nickel from the jar.

Given,

Probability;-

Simply put, probability is the likelihood that something will occur. When we don't know how an event will turn out, we can discuss the likelihood or likelihood of several outcomes. Statistics is the study of events that follow a probability distribution.

Here,

The number of fortunate situations divided by the total number of coins would be the product between the probability of each occurrence and the likelihood of each event.

Therefore,

P(nickel) = 19/69

P(penny) = 17/68

That is,

P = 19/69 × 17/68

P = 323/4692

P = 0.0688

That is,

The probability of getting nickel from the jar is 0.06888

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Answer:

Acute angle

Step-by-step explanation:

Acute angles are less than 90 degrees

Answer:

20

Step-by-step explanation:

So start with the ones you know like 2+2. So what I did is add the 2,s and then add the 4,s then I added 3,s which then added the 6,s the 8+12= 20 and that's how I got my answer.

The population of the town increased by 1450 from 2008 to 2012. The relative increase, expressed as a percentage, is approximately 43.94%.

To find the absolute increase, we subtract the initial population from the final population: 4750 - 3300 = 1450.

Therefore, the population of the town increased by 1450 individuals over the four-year period.

To calculate the relative increase as a percentage, we use the following formula:

Relative Increase (%) = (Absolute Increase / Initial Population) × 100

Substituting the values into the formula, we have:

Relative Increase (%) = (1450 / 3300) × 100 ≈ 43.94%

This means that the population of the town increased by approximately 43.94% from 2008 to 2012.

The relative increase gives us a measure of the percentage change in the population size.

In this case, the town experienced a significant population growth of 43.94% over the four-year period.

This information can be useful for understanding demographic trends, planning infrastructure, and making policy decisions to accommodate the increased population.

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The total cost of Kayla's purchase of 0.1 pounds of medium binder clips and 0.2 pounds of jumbo binder clips is $1.20.

To calculate the total cost, we need to determine the cost of each type of binder clip separately and then sum them up.

The cost of medium binder clips is $5 per pound, and Kayla purchased 0.1 pounds. Therefore, the cost of medium binder clips is 0.1 pounds * $5 per pound = $0.50.

The cost of jumbo binder clips is $6 per pound, and Kayla purchased 0.2 pounds. Thus, the cost of jumbo binder clips is 0.2 pounds * $6 per pound = $1.20.

Finally, to find the total cost, we add the individual costs together: $0.50 + $1.20 = $1.70.

Therefore, the total cost of Kayla's purchase of 0.1 pounds of medium binder clips and 0.2 pounds of jumbo binder clips is $1.70.

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These complex roots can be represented as points on the Argand diagram, where w₁ is at an angle of π/12 from the positive real axis in the counterclockwise direction and w₂ is at an angle of π/12 from the negative real axis in the counterclockwise direction.

i. Expressing z in polar form:

To express z = 1 + i√3 in polar form, we need to find the magnitude (r) and argument (θ) of the complex number. The magnitude r can be found using the formula |z| = √(Re(z)² + Im(z)²), and the argument θ can be found using the formula θ = tan⁻¹(Im(z)/Re(z)).

For z = 1 + i√3, the magnitude is |z| = √(1² + (√3)²) = 2, and the argument is θ = tan⁻¹(√3/1) = π/3.

Therefore, z can be expressed in polar form as z = 2(cos(π/3) + isin(π/3)).

ii. Finding complex roots of w = z¹/²:

To find the complex roots of w = z¹/², we need to take the square root of z and consider both the positive and negative square roots.

Taking the square root of z, we get:

√z = ±√2(cos(π/6) + isin(π/6)).

Therefore, the complex roots of w = z¹/² are:

w₁ = √2(cos(π/12) + isin(π/12)),

w₂ = -√2(cos(π/12) + isin(π/12)).

These complex roots can be represented as points on the Argand diagram, where w₁ is at an angle of π/12 from the positive real axis in the counterclockwise direction and w₂ is at an angle of π/12 from the negative real axis in the counterclockwise direction.

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Refer to the image for the graph of the lines.

The common form of the equation of a line is y = mx + c, where m is the slope of the line and c is a constant.

We need to draw any line with a slope m = 2, and

another line with a slope m = -2.

Disclaimer: Let us assume that the constant c = 0.

Then the equation to the line with a slope of "positive" 2 is given by

y = 2x

Then the equation to the line with a slope of "negative" 2 is given by

y = -2x

Refer to the attached image for the graph of the lines with the slope of "positive" 2 and "negative" 2.

f: green line indicates a line with a slope of "positive" 2.

g: blue line indicates a line with a slope of "negative" 2.

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Yes, 90 degrees (clockwise) and -270 degrees (counterclockwise) are coterminal angles.

Two angles are coterminal if they share the same terminal side when drawn in standard position. In other words, coterminal angles differ by an integer multiple of 360 degrees.

To see if 90 degrees and -270 degrees are coterminal, we can add 360 degrees to the smaller angle (-270 degrees) and see if we get the other angle:

-270 + 360 = 90

Since we obtain 90 degrees after adding 360 degrees to -270 degrees, these two angles are coterminal. They share the same terminal side in standard position, even though their rotations have different directions (clockwise and counterclockwise).

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Hence, there is 330 ml of lemonade in the special edition bottles.

The special edition bottles have 10% extra free, which means the total amount of lemonade in the special edition bottle is 100% (normal amount) + 10% (extra amount).

To calculate the amount of lemonade in the special edition bottles, we first need to determine the 10% of the normal amount (300 ml).

10% of 300 ml = (10/100) * 300 ml

= 30 ml

Therefore, the special edition bottles contain an extra 30 ml of lemonade.

To find the total amount of lemonade in the special edition bottles, we add the normal amount (300 ml) to the extra amount (30 ml):

Total amount of lemonade in special edition bottles = 300 ml + 30 ml

= 330 ml

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Answer:

\( - 3x = 4.2 \\ - x = \frac{4.2}{3} \\ - x = 1.4 \\ x = - 1.4 \\ thank \: you\)

SOLUTION

Therefore,

Hence, the answer is 840 arrangements.

Answer:

C. Iliana will be able to construct a triangle because the sum of any two sides is greater than the third side.

Step-by-step explanation:

edge

Iliana will be able to construct a triangle because the sum of any two sides is greater than the third side.

The sides of the triangle are given as:

12, 36 and 39.4 inches

According to the triangle inequality theorem, the following must be true

x + y >= z

Where z is the longest side.

This means that:

12 + 36 >= 39.4

Evaluate the sum

48 >= 39.4

The above inequality is true

Hence, the true statement is (c)

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Answer:

It's quite easy

Step-by-step explanation:

people less than 30 years = frequency of people 0 to 15 + 15 to 30 = 8+15 =23

Therefore there are 23 people less than 30 years old.

pls mark me as brainliest pls.

The three infinite lines of charge, with densities of +3 (nC/m), -3 (nC/m), and +3 (nC/m), respectively, are parallel to the z-axis and pass through specific points.

To determine the electric field at a point, we need to use Coulomb's law and integrate over the length of each line of charge.

The direction of the electric field is perpendicular to the line of charge, and the magnitude is proportional to the charge density and inversely proportional to the distance from the point to the line of charge. The final result will be a vector sum of the electric fields due to each line of charge.

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complete question:

Three infinite lines of charge, rhol1 = 3 (nC/m), rhol2 = −3 (nC/m), and rhol3 = 3 (nC/m), are all parallel to the z-axis. If they pass through the respective points determine the nature of electric field.

Answer: 864.2 i greater than 363.3 that is my answer

Step-by-step explanation:

Answer:

Step-by-step explanation:

7 x 10^-6 You're basically just moving the decimal place over six times until there is a whole number before the decimal.

Answer:

12.73%

Step-by-step explanation:

24 + 32 = 56(veggie sandwich)

112 + 150 = 262

262 + 64 = 326

326 + 58 = 384

384 + 56(veg sand) = 440

440 = total number of students

Divide 100 by 440 and you get 0.23

Multiply that by 56 and you get 12.73%

:)

The percentage of the students who wore a silly hat is 64 %.

The percentage is defined as a ratio expressed as a fraction of 100.

We have been given that Last Tuesday was a silly hat day at Aaron's school. 64 students wore a silly hats and 36 students did not.

We have to determine the percentage of the students who wore a silly hat

The total number of students = 64 students wore silly hats and 36 students did not.

The total number of students = 64 + 36 = 100

We have to determine the percentage of the students who wore a silly hat

The percentage of the students wore a silly hat = (64/ 100) × 100

The percentage of the students wore a silly hat = 0.64 × 100

The percentage of the students wore a silly hat = 64 %

Thus, the percentage of students who wore silly hats is 64 %.

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