Write the equation of the line with a slope of -4/5
and passes through the point (5, 3) in point-slope form.

Answer: 1,926.9

Explain: If you ever come across a question that asks you how much a number would be after 2, 3, 4, 5, and so on.  All you have to do is multiply that first number with the second.

Example: if the gardener collects 20 carrots a week.  How many carrots did the gardener collect in a span of 5 weeks?

Simply just multiply 20 x 5 = 100.

Answer:

Step-by-step explanation:lol

Answer:

Step-by-step explanation:

The continuous compound formula is

\(y=Pe^{rt\) where P is the principle or starting value, r is the growth rate in decimal form, and t is the time in years. For us:

\(y=3624e^{(.03)(2)}\\y=3624e^{.06}\\y=3624(1.061836547)\\y=3848.09\)

which would probably round to just 3848 people.

The simplified expression is \(21x^2 - 25x - 28\) in the given case.

An expression in mathematics is a combination of numbers, symbols, and operators (such as +, -, x, ÷) that represents a mathematical phrase or idea. Expressions can be simple or complex, and they can contain variables, constants, and functions.

"Expression" generally refers to a combination of numbers, symbols, and/or operations that represents a mathematical, logical, or linguistic relationship or concept. The meaning of an expression depends on the context in which it is used, as well as the specific definitions and rules that apply to the symbols and operations involved. For example, in the expression "2 + 3", the plus sign represents addition and the meaning of the expression is "the sum of 2 and 3", which is equal to 5.

To simplify the expression, first distribute the -3x and (3x + 4) terms:

\(-3x(4 - 5x) + (3x + 4)(2x - 7) = -12x + 15x^2 + (6x^2 - 21x + 8x - 28)\)

Next, combine like terms:

\(-12x + 15x^2 + (6x^2 - 21x + 8x - 28) = 21x^2 - 25x - 28\)

Therefore, the simplified expression is \(21x^2 - 25x - 28.\)

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a) The loan will be paid in 2.5 years.

b) The monthly payment will be $405.

Simple Interest (S.I) is the method of calculating the interest amount for some principal amount of money. The formula for simple interest helps you find the interest amount if the principal amount, rate of interest and time periods are given.

Simple interest = principle amount *rate of interest * time / 100

112.50 = 900*5*t / 100

11250 = 4500t

t = 11250/4500

t= 2.5

Thus, the loan will be paid in 2.5 years.

Amount = principle(1+rate of interest*time)

A= 900(1+5*2.5)

A= 900*13.5

A= 12150

Total amount to be paid $12150.

So, monthly payment = 12150/30 = 405 (since there are 30 months in 2.5 years)

Thus, your monthly payment will be $405.

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Circumference = 75.36 mm

We have that, The probability that a randomly selected young man is at least 2 inches taller than a randomly selected young woman is 0.709

1. The shape, center, and spread of the M-W distribution are:Shape: NormalCenter: 4.8 inches (69.3 - 64.5)Spread: The standard deviation of the difference between two normally distributed variables is given by the formula:

\(\sigma (M-W) = \sqrt{(\sigma_1^2 + \sigma_2^2)} = \sqrt{(2.8^2 + 2.5^2)} \approx 3.64\)

Let us define \(Z = (M - W - 2)/3.64\). So the probability that a randomly selected young man is at least 2 inches taller than a randomly selected young woman is:

\(P(M > W + 2) = P((M - W - 2)/\sigma(M-W) > (- 2)/\sigma (M-W)) = P(Z > -0.55) = 1 - P(Z \leq  - 0.55)\)

Using a standard normal table or a calculator, we find that \(P(Z \leq  -0.55) \approx 0.291\). Therefore, the probability that a randomly selected young man is at least 2 inches taller than a randomly selected young woman is: \(P(M > W + 2) \approx  1 - 0.291 = 0.709\).

The shape, center, and spread of the M-W distribution are:

Shape: Regular Center: 4.8 inches (69.3 - 64.5)

Dispersion: The standard deviation of the difference between two normally distributed variables is given by the formula:

\(\sigma (M-W) = \sqrt{(\sigma_1^2 + \sigma_2^2)} = \sqrt{(2.8^2 + 2.5^2)} \approx 3.64\)

The probability that a randomly selected young man is at least 2 inches taller than a randomly selected young woman is: \(P(M > W + 2) \approx 0.709\).

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It takes approximately 10.56 years for the account to grow to $20,000 with continuous compounding.

To solve this problem, we can use the formula for compound interest:

A = P(1 + r/n)^(nt)

where:

A = the amount after t years

P = the principal (initial investment)

r = the annual interest rate (as a decimal)

n = the number of times the interest is compounded per year

t = the time in years

Using this formula:

For monthly compounding:

20000 = 12000(1 + 0.045/12)^(12t)

20000/12000 = (1 + 0.00375)^12t

5/3 = (1.00375)^12t

ln(5/3) = 12t ln(1.00375)

t = ln(5/3) / (12 ln(1.00375))

t ≈ 7.63 years

Therefore, it takes approximately 7.63 years for the account to grow to $20,000 with monthly compounding.

For continuous compounding:

20000 = 12000e^(0.045t)

20000/12000 = e^(0.045t)

5/3 = e^(0.045t)

ln(5/3) = 0.045t

t = ln(5/3) / 0.045

t ≈ 10.56 years

Therefore, it takes approximately 10.56 years for the account to grow to $20,000 with continuous compounding.

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We are asked to find all whole number solutions of congruence equations and determine the additive and multiplicative inverses of specific numbers in modulo arithmetic.

To find the solutions of congruence equations, we need to determine the whole numbers that satisfy the given congruence equation in the specified modulus.

To find the additive inverse of a number in modulo arithmetic, we need to find another number that, when added to the given number, results in the additive identity (usually 0) in the specified modulus.

To find the multiplicative inverse of a number in modulo arithmetic, we need to find another number that, when multiplied by the given number, results in the multiplicative identity (usually 1) in the specified modulus. The multiplicative inverse only exists if the given number and the modulus are coprime (have no common factors).

1. To find the solutions of the congruence equation 2x+1 ≡ 5 (mod 4), we can test whole numbers for x until we find the values that satisfy the equation. In this case, x = 2 is the only whole number solution.

2. To find the solutions of the congruence equation 3x+1 ≡ 4 (mod 9), we can test whole numbers for x. In this case, x = 4 and x = 7 are the whole number solutions.

3. To find the solutions of the congruence equation 2x+3 ≡ 8 (mod 12), we can test whole numbers for x. In this case, x = 2, x = 6, and x = 10 are the whole number solutions.

4. To find the solutions of the congruence equation 3x+12 ≡ 7 (mod 10), we can test whole numbers for x. In this case, x = 1, x = 5, and x = 9 are the whole number solutions.

5. To find the solutions of the congruence equation 4x+6 ≡ 5 (mod 8), we can test whole numbers for x. In this case, x = 3 is the only whole number solution.

Now let's move on to finding the additive and multiplicative inverses.

1. The additive inverse of 4 in modulo 9 arithmetic is 5, since 4 + 5 ≡ 0 (mod 9).

2. The additive inverse of 7 in modulo 10 arithmetic is 3, since 7 + 3 ≡ 0 (mod 10).

3. The multiplicative inverse of 11 in modulo 16 arithmetic does not exist because 11 and 16 are not coprime (they have a common factor of 1).

4. The multiplicative inverse of 3 in modulo 8 arithmetic is 3 itself, since 3 * 3 ≡ 1 (mod 8).

5. The multiplicative inverse of 6 in modulo 15 arithmetic is 4, since 6 * 4 ≡ 1 (mod 15).

By applying the concepts of congruence equations and modulo arithmetic, we can find the whole number solutions and determine the additive and multiplicative inverses in the specified modulus.

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Answer:

Yes, they do make sense because the amount of square feet is equal to the amount of money needed to make the purchase in the mathematical abbreviations.

Step-by-step explanation:

Answer: 166

We’ll give it your best mate keep it up

Answer:

wheres the table

Step-by-step explanation:

Answer:

You need to know that the measures of angle L and angle R are congruent for SAS

The value of x the function when x = -7.5 is 34.5

Functions are written in terms of variables

Given the expression  –3.8x + 6, when the value of x is -7.5, hence;

f(x) =  –3.8x + 6

f(-7.5) = -3.8(-7.5) + 6

f(-7.5) = 28.5 + 6

f(-7.5) = 34.5

Hence the value of x the function when x = -7.5 is 34.5

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Katherine should proofread the recommendation report, and you should finish the slide deck for the presentation. This is an example of a compound sentence.

An activity in which someone shows, describes, or explains something to a group of people. The charts and graphs helped me understand the presentation. She will take your questions after she has made her presentation. The senior accountant gave a presentation at the meeting.

In this case, a compound sentence us a sentence that has two independent clauses.

Therefore, Katherine should proofread the recommendation report, and you should finish the slide deck for the presentation. This is an example of a compound sentence.

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Answer:

81 + 81 + 10 aka 172

Step-by-step explanation:

Answer:

172

Step-by-step explanation:

z = 9

9 to the second power is 81

9 times 9 is 81

plus 10

= 172

hope this helps dude

Answer:

5\(\frac{7}{8}\)

Step-by-step explanation:

You subtract all those distances from 22 to calculate the remaining distance.

22-4\(\frac{3}{4}\)= 17\(\frac{1}{4}\)

17\(\frac{1}{4}\)-5\(\frac{1}{8}\)=12\(\frac{1}{8}\)

12\(\frac{1}{8}\)-0=12\(\frac{1}{8}\)

12\(\frac{1}{8}\)-6\(\frac{1}{4}\)=5\(\frac{7}{8}\)

So the answer is 5\(\frac{7}{8}\)

(Yes I did these in my head)

Answer:

15x + 10

Step-by-step explanation:

You multiply 5 to both 3x and 2 and you should get 15x + 10

Answer:

15x+10

Step-by-step explanation:

multiply 5 times 3x = 15 x

multiply 5 times 2 = 10

The growth of yeast cultures in a medium typically exhibits logarithmic growth.

In logarithmic growth, the population size increases exponentially over time, meaning that the growth rate is proportional to the current population size.

This results in a characteristic J-shaped curve when the population size is plotted against time.

During the early stages of yeast culture growth, there is a lag phase where the population adjusts to the new environment and begins to adapt and reproduce.

Following this phase, yeast cells enter the exponential or logarithmic growth phase, where the population size increases rapidly.

The growth rate is high during this phase as each yeast cell divides and produces new cells, leading to a doubling of the population within a specific time frame.

Logarithmic growth eventually reaches a stationary phase, where the growth rate slows down, and the population stabilizes.

This occurs when the available nutrients in the medium start to become limited or when waste products accumulate, creating an unfavorable environment for further growth.

Therefore, the growth of yeast cultures in a medium shows logarithmic growth.

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Answer:

9

Step-by-step explanation:

18/2=9

Answer:

3:10

Step-by-step explanation:

In order to find the ratio of red to green sweets, we first need to find the ratio of yellow to green sweets. We know that the ratio of yellow to green is 1:5 and we also know that the ratio of red to yellow is 3:2.

We can use this information to find the ratio of red to green by cross-multiplying the ratio of red to yellow and the ratio of yellow to green.

So (3:2) x (1:5) = (3:10)

This means the ratio of red to green is 3:10.

Alternatively, we can find the ratio of red to green by using the following formula:

(red:yellow) x (yellow:green) = (red:green)

So (3:2) x (1:5) = (3:10)

The ratio of red to green is 3:10.

Answer:

Step-by-step explanation:

The ratio of red : yellow = 3:2 and yellow:green = 1:5

So, the ratio of red : yellow : green = 3:2:5

To find the ratio of red: green, we can find the ratio of red : yellow : green and then divide the red and green portions.

So, the ratio of red: green = (3/(3+2+5)) : (5/(3+2+5)) = 3/10 : 5/10 = 3:5

The test statistic is -5.02

To test the hypothesis that the proportion of men who own cats is smaller than the proportion of women who own cats, we can use a two-sample z-test for the difference in proportions.

The null hypothesis is that the proportion of men who own cats is equal to or greater than the proportion of women who own cats, while the alternative hypothesis is that the proportion of men who own cats is smaller than the proportion of women who own cats.

We can calculate the test statistic using the following formula:

z = (p1 - p2) / sqrt(p*(1-p)*(1/n1 + 1/n2))

where

p1 is the proportion of men who own cats (0.35)

p2 is the proportion of women who own cats (0.9)

p is the pooled proportion [(x1 + x2) / (n1 + n2)] = [(0.35100 + 0.980)/(100+80)] = 0.62

n1 is the sample size of men (100)

n2 is the sample size of women (80)

Plugging in the values, we get:

z = (0.35 - 0.9) / sqrt(0.62*(1-0.62)*(1/100 + 1/80)) = -5.02

Rounding this to two decimal places, the test statistic is -5.02.

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The common ratio between successive terms in the sequence is 1. 25

Common ratio is defined as the ratio of each term of a geometric sequence to the term before it.

It is also known as the constant factor between consecutive terms of a geometric sequence.

It is  the number multiplied or divided by at each interval.

Given the sequence;

1.5, 1.2, 0.96, 0.768,

The common ration is;

= 1. 5/ 1. 2

= 1. 25

Thus, the common ratio between successive terms in the sequence is 1. 25

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A p-value for correlation which is statistically significant implies the correlation is due to random chance. The correct solution to this is False.

A p-value for correlation which is statistically significant implies that it is unlikely that the observed correlation is due to random chance alone. In other words, it suggests that there is evidence to support the presence of a true correlation between the two variables being studied. The p-value is a measure of the strength of evidence against the null hypothesis (i.e., that there is no correlation between the two variables), and a smaller p-value indicates stronger evidence against the null hypothesis.

Interpretation of the intercept: The intercept in a linear regression model represents the value of the dependent variable when all independent variables are equal to zero. It is the value of the dependent variable when there is no effect of the independent variable(s) on it. For example, in a regression model predicting height based on age, the intercept would represent the expected height of a person at age zero (which is not a realistic scenario).

Interpretation of a residual: A residual is the difference between the actual observed value of the dependent variable and the predicted value of the dependent variable based on the regression model. It represents the part of the dependent variable that the model was not able to explain. A positive residual means that the actual value is greater than the predicted value, while a negative residual means that the actual value is smaller than the predicted value.

Interpretation of r-squared: R-squared is a measure of how much of the variation in the dependent variable is explained by the independent variable(s) in the regression model. It ranges from 0 to 1, with higher values indicating a better fit of the model to the data. Specifically, it represents the proportion of the total variation in the dependent variable that is explained by the independent variable(s) in the model. For example, if r-squared is 0.75, it means that 75% of the variability in the dependent variable is explained by the independent variable(s) in the model.

Interpretation of the slope: The slope in a linear regression model represents the change in the dependent variable that is associated with a one-unit increase in the independent variable, holding all other variables constant. It reflects the average change in the dependent variable for each unit change in the independent variable. For example, in a regression model predicting height based on age, the slope would represent the average change in height for each additional year of age.

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Answer:

its clockwise

Step-by-step explanation:

Answer:

its clockwise

Step-by-step explanation:

hope this helps

Answer: 52=y and 15=x

Step-by-step explanation:

Since we know m and n are parallel that means alternate exterior angles are equal to each other.

The angle with 8x+8= the angle above the one that says 3x+7

Two angles on a line add up to 180 so 8x+8+3x+7=180

Now we can solve

\(8x+8+3x+7=180\\(8x+3x)+(8+7)=180\\11x+15=180\\11x+15-15=180-15\\11x=165\\\frac{11x}{11} =\frac{165}{11} \\x=15\)

Now we know that x=15

The angle y and the angle of 3x+7 are corresponding angles. Corresponding angles are congruent. Subbing in 15 for x we can solve for y

\(3(15)+7=y\\45+7=y\\52=y\)