Mari spends $6 on cheese for a party she also plans to buy b boxes of crackers that cost $3 per box

Using exponential function, the number of employees in the company in 10 years will be approximately 335

For the population of the city:

We can use the formula for exponential growth to calculate the population in 12 years:

P = Po * (1 + r/100)^t

where Po is the initial population, r is the annual growth rate, and t is the time in years.

Plugging in the values given, we have:

P = 500,000 * (1 + 3/100)^12 ≈ 707,815

Therefore, the population of the city in 12 years will be approximately 707,815 (rounded to the nearest whole).

For the number of employees in the company:

We can use the formula for exponential decay to calculate the number of employees in 10 years:

N = No * (1 - r/100)^t

where No is the initial number of employees, r is the annual decay rate, and t is the time in years.

Plugging in the values given, we have:

N = 640 * (1 - 5/100)^10 ≈ 335

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The value of x in the angle  is -6

                  m ∠B = (x +53)°

                 m ∠C = (x +53)°

         2 (x + 53) + 86 = 180

          2x + 106 + 86 = 180

                 2 x + 192 = 180

                            2x = 180- 192

                            2x = -12

                             x = -6

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A major disadvantage of electron microscopes compared to light microscopes is that they cannot be used to view live specimens. Therefore, option B is the correct answer.

A major disadvantage of electron microscopes compared to light microscopes is that they cannot be used to view live specimens. This is because the electron microscope requires a vacuum environment to function properly, which would kill any live specimen. Additionally, electron microscopes can only see surface details and do not have a very high power of resolution. Lastly, electron microscopes can only be used by doctors or trained technicians, so they are not as widely available as light microscopes.

Therefore, option B is the correct answer.

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A disadvantage of electron microscopes compared to light microscopes is that they cannot be used to view live specimens (option b). Electron microscopes use a beam of electrons to create an image, which requires a vacuum environment. This means that living organisms cannot survive in the vacuum and therefore cannot be observed with electron microscopes.

I hope this helped! :)

Answer:

niños=312 y niñas=208

Para obtener el por ciento de este problema debes que:

520×0.4 y 520×0.6 Esto nos da 40% de Las niñas que como dije es: 520×0.4=208 niñas y 60% de niños : 520×0.6=312

In order to calculate the total spending in the town each year, first, multiply by the 70% that is spent within the town,

Also, multiply by 70% of the amount people will spend after they receive it in town,

Answer:

The total spending in the town each year is $1,960,000

(a) The function f(x, y) does not have a limit at (0,0). (b) No information is provided to determine the limit for f2(x, y).

(a) For the function f(x, y) = 5ry²/(3x² + y²), we can analyze the behavior as (x, y) approaches (0,0). Since the denominator 3x² + y² becomes zero as (x, y) approaches (0,0), we cannot directly evaluate the function at this point. However, by considering the parabola z = -y², we can observe that the function does not approach a specific value and thus does not have a limit at (0,0).

(b) The function f2(x, y) = Vel + Vsin(y) is not well-defined as no information or context is provided for the variables Vel, V, and U. Without this information, it is not possible to determine the limit of the function at (0,0) or any other point.

Therefore, for (a), the function f(x, y) does not have a limit at (0,0), and for (b), no information is given to determine the limit for f2(x, y).

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The perimeter of the rectangle created in this problem is given as follows:

20 units.

The perimeter of a polygon is given by the sum of all the lengths of the outer edges of the figure, that is, we must find the length of all the edges of the polygon, and then add these lengths to obtain the perimeter.

The points for the rectangle in this problem are given as follows:

(-1, 3), (3,3), (-1, -3) and (3,-3).

Hence the side lengths of the rectangle are given as follows:

Hence the perimeter of the rectangle is given as follows:

P = 2(4 + 6)

P = 20 units.

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The algorithm ensures that g is a generator, satisfying the necessary conditions.

To show that the algorithm produces a generator, we need to verify two conditions:

The algorithm selects a number, g, that is coprime to p-1.

The algorithm checks if g raised to the power of (p-1)/q is not congruent to 1 modulo p for each prime factor, q, of p-1.

Let's go through the steps of the algorithm to demonstrate these conditions:

Start with the prime factorization of p-1: p-1 = q1^a1 * q2^a2 * ... * qn^an, where q1, q2, ..., qn are distinct prime factors.

For each prime factor, q, calculate g = h^((p-1)/q) modulo p, where h is a randomly selected number between 2 and p-1.

Check if g is congruent to 1 modulo p. If it is, go back to step 2 and select a different h.

Repeat steps 2 and 3 until g is not congruent to 1 modulo p for each prime factor, q.

Now let's analyze these conditions:

By raising h to the power of (p-1)/q for each prime factor, the resulting g is guaranteed to be coprime to p-1. This is because g is not divisible by any prime factor of p-1.

For each prime factor, q, g^(p-1)/q is not congruent to 1 modulo p. This is because g^(p-1)/q is congruent to h^((p-1)/q * (p-1)/q) modulo p, and since h^((p-1)/q) is coprime to p, raising it to the power of (p-1)/q * (p-1)/q will not result in 1 modulo p.

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Answer:

The SI unit for length is the meter (abbreviated m); its definition has also changed over time to become more accurate and precise. The meter was first defined in 1791 as 1/10,000,000 of the distance from the equator to the North Pole.

Answer:

-14 x -4

Step-by-step explanation:

i did the quiz lol

Answer:

A

Step-by-step explanation:

took the quiz, hope this helps.

Answer:

kinda hard to understand :)

Step-by-step explanation:

The perimeter of triangle is 66.24 units.

What is triangle?

In Euclidean geometry, any 3 points, once non-collinear, verify a unique triangle and at the same time, a unique plane

Main body:

according to question :

c = 28

let the vertices be A,B,C

∠A= 30°

by using trigonometric ratios,

BC/ AB = sin30°

AB = C = 28

BC/28 = sin30°

BC = 28*sin30°

BC= 28*(1/2)

BC = 14

similarly

AB /CA = cos 30°

28/CA = √3/2

CA = 28*√3/2

CA = 14/√3

CA = 24.24

Hence , perimeter = AB +BC +CA = 28+14+24.24

                              =66.24 units

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Answer: C

Step-by-step explanation: devision?

The graph of y = f(x) can have at most one horizontal asymptote.

A horizontal asymptote is a horizontal line that the curve of the function approaches as x approaches positive or negative infinity. The number of horizontal asymptotes that a function can have depends on the behavior of the function as x approaches infinity and negative infinity.

If the function approaches a single horizontal line as x approaches positive or negative infinity, then that line is the horizontal asymptote. If the function approaches different horizontal lines as x approaches infinity and negative infinity, or if it does not approach any horizontal line, then it does not have a horizontal asymptote.

Therefore, the graph of y = f(x) can have at most one horizontal asymptote, which it approaches as x approaches positive or negative infinity.

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the experimental probability of the coin landing on tails is 1/3 or approximately 0.33 when expressed as a decimal when coin was flip 18 times and landed on heads 12times

In this case, the coin was flipped 18 times and landed on heads 12 times, so it landed on tails 6 times.

Therefore, the experimental probability of the coin landing on tails is 6/18, which simplifies to 1/3 or approximately 0.33.
. To calculate the experimental probability, follow these steps:

1. Determine the number of successful outcomes (times the coin landed on tails). In this case, the coin was tossed 18 times and landed on heads 12 times, so it must have landed on tails 6 times (18 - 12 = 6).

2. Determine the total number of trials (times the coin was tossed). In this case, it's 18.

3. Calculate the experimental probability by dividing the number of successful outcomes by the total number of trials:
Experimental probability of tails = (Number of tails) / (Total number of tosses) = 6 / 18

4. Simplify the fraction to get the experimental probability:
6 / 18 = 1 / 3

So, the experimental probability of the coin landing on tails is 1/3 or approximately 0.33 when expressed as a decimal.

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Answer:

m∠D+m∠F=180

y+70=180

y=110°

m∠E+m∠G=180

117+z=180

z=63°

---------------------

B) y=110,z=63

--------------------

hope it helps...

have a great day!

Answer:

Mode is 4

Step-by-step explanation:

Answer: No, the pythagorean Theorem can only be done on right triangles.

Step-by-step explanation:

By using Pythagorean theorem to find the length of the hypotenuse, we get the answer as hypotenuse of 115

A Pythagorean triple is a set of three positive integers a, b, and c that satisfy the equation a^2 + b^2 = c^2, where c is the length of the hypotenuse and a and b are the lengths of the legs of the right triangle.

In a right triangle, the hypotenuse is the side that is opposite the right angle. It is the longest side of the triangle and it is always opposite the 90-degree angle. The other two sides of the right triangle are called the legs, and they form the right angle.

we can use the Pythagorean theorem to find the length of the hypotenuse:

a^2 + b^2 = c^2

82^2 + 80^2 = c^2

6724 + 6400 = c^2

c = √(6724 + 6400) = √13124

c = 114.74

Since all three sides of the triangle have to be integers and the hypotenuse is the one that should have the largest value, we can round the value of c up to 115

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Answer:

Option A is the correct

Step-by-step explanation:

a=d+c/b

Now we have to solve for d

Multiplying b on both sides

a*b=d+c/b*b

ab=d+c

ab-c=d

I hope this will help you:)

Answer:

m² + 3m - 10 = 0

Step-by-step explanation:

Given

(6x + 5)² - 10 = - 18x - 15 ← factor out - 3 from each term

(6x + 5)² - 10 = - 3(6x + 5)

Now let m = 6x + 5 in the equation, that is

m² - 10 = - 3m ( add 3m to both sides )

m² + 3m - 10 = 0

Answer:

m = 2

Step-by-step explanation:

(6x + 5)2 – 10 = -18x – 15

12x + 10 - 10 = -18x - 15

12x + 18x = -15

30x = -15

x = -15/30

x = -1/2

m = 6x + 5

m = 6(-1/2) + 5

m = -3 + 5

m = 2

d=-8

Please note that on step 3 i multiplied both sides by -1 to get rid of the fraction.

And also the formula at the beginning is the formula to calculate the slope of a line.

C) Normal As the degrees of freedom for the numerator and denominator gets large, the sample size increases, the F-distribution approaches the Normal distribution.

What happens when the sample size is increased?

As sample numbers value rise, the diversity of each sampling distribution diminishes, making them more leptokurtic. The sample distribution's range is narrower than the original population's range.

Fisher devised the F-distribution to analyze the behavior of two variances from random samples drawn from two separate normal populations.

Based on the responses of random samples, we may be interested in understanding if the population variances are equal in applicable issues.

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Based on the given mean delivery time of 10:28am and the standard deviation of 0:55 mins, the estimated times within which 95% of the deliveries are made is (a) between 8:38 am and 12:18 pm.

To calculate this interval, we need to use the z-score formula, where we find the z-score corresponding to the 95th percentile, which is 1.96. Then, we multiply this z-score by the standard deviation and add/subtract it from the mean to get the upper and lower bounds of the interval.

The upper bound is calculated as 10:28 + (1.96 x 0:55) = 12:18 pm, and the lower bound is calculated as 10:28 - (1.96 x 0:55) = 8:38 am.

Therefore, we can conclude that the interval between 8:38 am and 12:18 pm represents the estimated times within which 95% of the deliveries are made based on the given mean delivery time and standard deviation.

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Answer:

There are 26 plants left

Step-by-step explanation:

His dog dug up four rose

15 - 4 = 11

- and half the daisies

6 / 2 = 3

11 + 12 + 3 = 26 plants left

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly.

- Heather

The rate of markdown is approximately 0.6127, indicating a markdown of about 61.27%. The markdown amount is $18.90.

To find the rate of markdown and the markdown amount, we can use the formula:

Rate of Markdown = (Regular Selling Price - Selling Price) / Regular Selling Price

Rate of Markdown = ($30.90 - $12.00) / $30.90

Rate of Markdown = $18.90 / $30.90

Rate of Markdown ≈ 0.6127

To calculate the markdown amount, we can subtract the selling price from the regular selling price:

Markdown = Regular Selling Price - Selling Price

Markdown = $30.90 - $12.00

Markdown = $18.90

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complete question
Find the rate of markdown and the markdown.

Regular selling price $30.90

selling price $12.00

Answer:

12 mm 3mm

Step-by-step explanation:

Therefore, Two slices of bacon had 96 less calories than three slices of roasted turkey.

a formula that illustrates the connection between two expressions on either side of a sign. It usually only has one variable and an equal sign. like this: 2x – 4 = 2.

Here,

One piece of bacon has 42 calories in it.

There are 60 calories in 1 slice of turkey.

2 slices of bacon are 2 calories each (42)

So 84 calories in 2 slice of bacon

3 slices of roasted turkey have 3 calories each slice (60)

Three slices of roasted turkey have 180 calories each.

180-84 is the difference in the amount of calories.

96 calories are added due to the calorie difference.

Two slices of bacon had 96 less calories than three slices of roasted turkey.

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Answer:

b, c, d, f

Step-by-step explanation:

Which ordered pairs are solutions to the inequality?

 2x+3y≥−1?

a≥b means that A must be equal to or greater than B.

Let's do this the long, but easy way, by plugging it in!

(x,y)

a. (0,-1) -> -3≥-1 -> false

b. (5,-1)-> 7≥-1 -> true

c. (-2,1) -> -1≥-1 -> true

d. (0,1) -> 3≥-1 -> true

e. (-6,0) -> -12≥-1 - > false

f. (2,-1) -> 1≥-1 -> true

Let me know if it is incorrect!

- a friendly 8th grader :)