If x=8, find the value of y in the equation 4x-2y=28

The population of the termite colony will be approximately 593 in 4 years.

Since the population of the termite colony will double in 6 years, we can use the formula:

P = P0 * 2^(t/k)

where P0 is the initial population, P is the population after time t, and k is the time it takes for the population to double (in this case, 6 years).

We know that the current population is 16000, so P0 = 16000. We also know that the population consists only of females, so we can assume that the population grows linearly.

To find the population of the termite colony in 4 years, we need to determine how much the population grows in that time. Since the population doubles in 6 years, we can assume that it grows by a factor of 2/6 per year. Therefore, the population after 4 years can be calculated as:

P = P0 * (2/6)^4

= 16000 * (1/27)

= 592.59 (rounded to the nearest whole number)

Therefore, the population of the termite colony will be approximately 593 in 4 years.

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Answer: The filled out table is shown below in the attached image

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Explanation:

The letters A through J are one way to fill out the table. Though there are other possible orders.

Start at letter A, which is from the fact we have 40 people total

Then move to letter B. This is the total number who like pasta (26)

We have C = A-B = 40-26 = 14 people who don't like pasta

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Now move to cell D. This is the total who don't like netball, which is 21 people. There are E = A-D = 40-21 = 19 people who do like netball.

F = 4 is the number of people who don't like either thing (netball or pasta). So G = D-F = 21-4 = 17 people like pasta but don't like netball.

Of those people who like netball (E = 19), we have 9 who also like pasta. This is in cell H in the upper left corner. This means J = E-H = 19-9 = 10 people like netball but don't like pasta.

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So we have these values

Answer:

45

Step-by-step explanation:

1125 students×.04 attrition =45 students lost

The probability of 3 or more deaf people in a sample of 100 is given as follows:

0.3633 = 36.33%.

The mass probability formula, giving the probability of x successes, is of:

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

\(C_{n,x} = \frac{n!}{x!(n-x)!}\)

The parameters are given by:

The values of the parameters for this problem are given as follows:

p = 0.02, n = 100.

The probability of 3 or more deaf people are given as follows:

P(X >= 3) = 1 - P(X < 3).

In which:

P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2).

Hence:

Thus:

P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2)

P(X < 3) = 0.1326 + 0.2707 + 0.2334

P(X < 3) = 0.6367.

P(X >= 3) = 1 - P(X < 3).

P(X >= 3) = 1 - 0.6367.

P(X >= 3) = 0.3633.

We suppose that 2% of the population is deaf, and want to find the probability of 3 or more deaf people in a sample of 100.

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It takes 20 seconds for the cheetah to catch up to the antelope

Speed is the ratio of distance to time taken. It is given by:

Speed = distance / time

Let d represent the distance covered by the cheetah at time t, hence:

30 = d / t

t = d / 30

The antelope is 100 yards away, hence:

25 = (d - 100) / t

t = (d - 100)/25

d/30 = (d - 100)/25

25d = 30d - 3000

d = 600 yards

t = d/30 = 600/30 = 20 seconds

It takes 20 seconds for the cheetah to catch up to the antelope

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Answer:The particles in a solid are tightly packed and locked in place. Although we cannot see it or feel it, the particles are moving = vibrating in place.

Answer:

the movement of particles within a solid is normally slower, do to the particles being tighter together than the other classifications.

Answer:

neHfzrusufsfisjfsjgdjtxktxkthkdkgdkgigcktxiyxkgxtixitzkfxkfxit

Step-by-step explanation:

mekhhggggggggggty

So the mean of this sample is 8, which represents the average score across all members of the sample.

A statistic is a measure or summary of a set of data that is used to describe, analyze, or interpret a phenomenon. Statistics are commonly used in fields such as mathematics, economics, psychology, and biology to make inferences about a population based on a sample of data. There are two main types of statistics: descriptive statistics and inferential statistics. Descriptive statistics are used to summarize and describe the characteristics of a sample or population, such as the mean, median, mode, range, and standard deviation. Inferential statistics are used to make predictions or draw conclusions about a population based on a sample, by testing hypotheses or estimating parameters.

Some common statistics include:

Mean: The average of a set of numbers, calculated by adding up all the numbers and dividing by the total number of values.

Median: The middle value in a set of numbers, with half of the values above and half below.

Mode: The most common value in a set of numbers.

Range: The difference between the highest and lowest values in a set of numbers.

Standard deviation: A measure of how spread out the values in a set of numbers are from the mean.

Statistics can be used in a wide variety of applications, from predicting election outcomes to evaluating the effectiveness of medical treatments. Properly understanding and interpreting statistics is essential for making informed decisions in many fields.

Here,

The statistic that is equivalent to dividing the sum of scores equally across all members of a sample is the mean, also known as the arithmetic mean or average. The mean is calculated by adding up all the scores in a sample and dividing by the total number of scores. This produces a single value that represents the central tendency of the sample.

For example, if we have a sample of 10 scores and the sum of those scores is 80, we can calculate the mean as:

mean = sum of scores / number of scores

mean = 80 / 10

mean = 8

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Answer:

D:  {1/2, 4 1/2} or {0.5, 4.5}

Step-by-step explanation:

Start by simplifying this equation.  Divding both sides by 3, we get:

|2x - 5| = 4

Now divide all terms by 2 to isolate x inside the absolute value signs:

|x - 5/2| = 2

We regard 5/2 as the center; the two solutions are 2 units distant from this center on either side:

Case 1:  x = 5/2 + 2, or x = 9/2, or x = 4.5

Case 2:  x = 5/2 - 2, or x = 1/2, or x = 0.5

Check:  is 9/2 two units to the right of the 'center' 5/2?  Is 5/2 + 2 = 9/2?  YES

Is 12 two units to the left of the 'center' 5/2?  Is 5/2 - 4/2 = 1/2?  YES

The solution set is D:  {1/2, 4 1/2} or {0.5, 4.5}

Answer:

sqrt65+17

Step-by-step explanation:

a^2+b^2=c^2

a^2+4^2=9^2

a=sqrt65

perimeter = sqrt65+97

Hope this helps plz hit the crown :D

Answer:

13. The more passengers, the more Subway cars are needed; 15. There's more weight with the more packages?

Step-by-step explanation:

The number of years it would take is approximately equal to 53 years.

In Mathematics, a population that increases at a specific period of time represent an exponential growth. This ultimately implies that, a mathematical model for any population that increases by r percent per unit of time is an exponential function of this form:

P(t) = I(1 + r)^t

Where:

By substituting given parameters, we have the following:

96627 = 11211(1 + 0.0418)^t

8.61894567835 = (1.0418)^t

By taking the ln of both sides, we have:

Time, t = ln(8.61894567835)/ln(1.0418)

Time, t = 52.60 ≈ 53 years.

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The sum of the functions is option B. (f + g)(x) = 2x³ + 3x² - 5x - 3.

A function is defined as a relation from a set to another set  such that the elements in the first set maps to one and only one element in the second set.

Or in other words, no elements in the first set has more than one image in the second set.

Given the two functions,

f(x) = 2x³ + 3x² - 7x + 2 and g(x) = 2x - 5.

We have to find (f + g) (x).

Sum of the functions is,

(f + g)(x) = f(x) + g(x)

             = (2x³ + 3x² - 7x + 2) + (2x - 5)

             = 2x³ + 3x² - 7x + 2x + 2 - 5

             = 2x³ + 3x² - 5x - 3

Hence the sum of the given function is 2x³ + 3x² - 5x - 3.

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Answer:

The answer is \(\frac{2}{3}\)

Step-by-step explanation:

When we divide two fractions, we multiply the numerator by the inverse of the denominator. So

\(\frac{\frac{a}{5}}{\frac{3a}{10}} = \frac{a}{5} \times \frac{10}{3a} = \frac{10*a}{5*3a} = \frac{10a}{15a} = \frac{2}{3}\)

The answer is \(\frac{2}{3}\)

Jill's annual earnings can be calculated by multiplying her weekly pay by the number of weeks in a year: $298/week x 52 weeks/year = $15,496/year. Her earnings to date are $14,900, so she has earned an additional $596 in the current week.

Social Security is taxed at 6.2%, so the amount deducted from her pay each week is 6.2% of her gross weekly pay. That's 0.062 x $298 = $18.48.

Answer: 4

Step-by-step explanation: because he needs to divided by 2

Answer:

For the hole family it will cost 96.5$

Step-by-step explanation:

There are two adults, $25 each. 2×25=50

There are 3 children, 15.50 each. So you do 3×15.50= 46.5

To find the total cost add them both.

46.5+50= 96.5

Answer:

The total cost is $96.5

Answer:

Dilacey took a loan of $2800

Step-by-step explanation:

P=(Simple Interest×100)/R×T

P=$420×100/10×1½

P=$42000/15

P=$2800

Answer: 3,348 cubic inches

Step-by-step explanation:

1. Since we know that volume= length x width x height, then we can plug our values into this equation.

2. So, we would do volume= 9 x 12 x 21.

3. 9 x 12 = 108, and 108 x 21 =2,268.

4. Now that we have both of the volumes, we have to add them together.

5. 1,080 + 2,268 = 3,348

6. The combined volume is 3,348 cubic inches.

Answer:

60.6363636364

Answer:

60.63 or 61

Step-by-step explanation:

not round off / round off

Answer:

19 pennies 19 dimes,1 quarter

Step-by-step explanation: it calculate with calculator

Answer:

208 cubic units

Step-by-step explanation:

The composite figure in the picture is composed of a triangular prism and a rectangular prism, both which can be calculated by the base * height formula.
First, let’s calculate the volume of the triangular prism:

The base is the area of the triangle base, which is dc/2, or 4*3/2, which is 6. Next, multiply the area of the base by the height “b”: 6 * 8 = 48.

Now, let’s calculate the volume of the rectangular prism:

The base is the rectangular base’s area, which is a*c, or 5*4, which is 20. Next multiply the base by the height “b”: 20 * 8 = 160

Now, add up the volumes of the rectangular and triangular prisms:

160 + 48 = 208 cubic units

A graph of the exponential function \(f(n)=37000(1.06)^n\) is shown in the image attached below.

In Mathematics and Geometry, an exponential function can be modeled by using this mathematical equation:

\(f(x)=a(b)^x\)

Where:

Based on the information provided above, your salary can be modeled or represented by the following exponential function;

\(f(n)=37000(1.06)^n\)

Lastly, we would use an online graphing calculator to plot the given exponential function as shown in the graph attached below.

In conclusion, the rate of change of this exponential function is equal to 1.06.

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Step-by-step explanation:

2 (yellow) / 3.5 (blue)

that means, out of 2+3.5 = 5.5 units 2 are yellow, and 3.5 units are blue.

now in a 3 / 4.5 ratio we have 3+4.5 = 7.5 units, where 3 units are yellow and 4.5 units are blue.

let's bring both ratios to the same denominator (bottom part of the fraction).

if we multiply 3.5 by 2 we get 7. and multiplying 4.5 by 2 gives us 9.

and the smallest common multiple of 7 and 9 is 63.

so, let's bring both fraction to .../63.

3.5 × 2 × 9 = 63

so, the ratio is

2×2×9/63 = 36/63

and

4.5 × 2 × 7 = 63

so, that ratio is then

3 × 2 × 7 / 63 = 42/63

now we can see clearly that the first ratio

2/3.5 = 36/63 has fewer units of yellow in the mix than the second ratio

3/4.5 = 42/63.

so, the second mixture is more yellow.

Answer:

if you work 40 hours per week, the hourly pay is around $26. the weekly pay in this case, is $1040-$1070.

Step-by-step explanation:

The property you are referring to is called the associative property of multiplication. According to this property, when multiplying three numbers, the grouping of the numbers does not affect the result. In other words, you can change the grouping of the factors without changing the product.

In the equation you provided: 3x(5x7) = (3x5)7

The associative property allows us to group the factors in different ways without changing the result. So, whether we multiply 5 and 7 first, or multiply 3 and 5 first, the final product will be the same.

Answer:

0

Step-by-step explanation:

Use the discriminant formula for parabola

\( {b}^{2} - 4ac\)

\( {3}^{2} - 4(10)(6)\)

\(9- 240\)

\( - 231\)

Since the answer is negative, we will have 2 imaginary roots so we won't have any real roots

Answer:

No Real Roots

Step-by-step explanation:

Hello!

To determine the types of roots a quadratic has, we can use the Discriminant.

Refer to the quadratic formula: \(x = \frac{-b\pm \sqrt{\bold{b^2 - 4ac}}}{2a}\)

The bolded part (b² - 4ac) is the Discriminant.

We can plug in our values from the quadratic into the Discriminant Formula b² - 4ac.

Since the discriminant is negative, there are two imaginary roots, or roots that don't exist.

The are no real roots for this quadratic.

Answer: Equilateral

Step-by-step explanation:

It's equilateral because it says that each side of the triangle is 4cm. In simple words, all the sides of triangle are equal. Such a triangle is called an equilateral triangle.

Hope you understood.