solving a system of two linear equations means??
98 points if you answer

Answer:

The anticipated daily production 3 years from now is approximately 385 units per day.

To determine the anticipated daily production 3 years from now, we can use the logistic growth model. The logistic growth model is given by the equation:

P(t) = K / (1 + A * e^(-k*t))

Where:

P(t) is the population (or in this case, daily production) at time t

K is the carrying capacity or the maximum production limit

A is the initial difference between the carrying capacity and the initial production

k is the growth rate

t is the time in years

Given the information:

Initial production (t = 0): 200 units per day

Production after 1 year (t = 1): 250 units per day

Maximum production limit (K): 500 units per day

We can use these values to find the growth rate (k) and the initial difference (A):

A = K - P(0) = 500 - 200 = 300

P(1) = K / (1 + A * e^(-k*1)) = 250

250 = 500 / (1 + 300 * e^(-k))

1 + 300 * e^(-k) = 500 / 250 = 2

300 * e^(-k) = 2 - 1 = 1

e^(-k) = 1/300

-k = ln(1/300)

k ≈ -5.703

Now, we can calculate the anticipated daily production 3 years from now (t = 3):

P(3) = K / (1 + A * e^(-k*3))

P(3) = 500 / (1 + 300 * e^(-5.703 * 3))

P(3) ≈ 385 units per day

Therefore, the anticipated daily production 3 years from now is approximately 385 units per day.

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Answer:

C. 4^6 / 5^6

Step-by-step explanation:

(4/5)^6

= 4^6 / 5^6

\(\huge\text{Hey there!}\)

\(\huge\textbf{Equation:}\)

\(\mathbf{(\dfrac{4}{5})^6}\)

\(\huge\textbf{Simplify it:}\)

\(\mathbf{(\dfrac{4}{5})^6}\)

\(\mathbf{= \dfrac{4}{5}\times\dfrac{4}{5}\times\dfrac{4}{5}\times \dfrac{4}{5}\times\dfrac{4}{5}\times\dfrac{4}{5}}\)

\(\mathbf{= \dfrac{4\times4\times4\times4\times4\times4}{5\times5\times5\times5\times5\times5}}\)

\(\mathbf{= \dfrac{16\times16\times16}{25\times25\times25}}\)

\(\mathbf{= \dfrac{256 \times 16}{625\times25}}\)

\(\mathbf{= \dfrac{4,096}{15,625}}\)

\(\mathbf{\approx \dfrac{4^6}{5^6}}\)

\(\huge\text{Therefore, your answer should be: }\)

\(\huge\boxed{\frak{Option\ C. \dfrac{4^6}{5^6}}}\huge\checkmark\)

\(\huge\text{Good luck on your assignment \& enjoy your day!}\)

~\(\frak{Amphitrite1040:)}\)

Answer:

28 i think

Step-by-step explanation:

51+47=98

98-12 the ones that flew away that takes it to 86

86/3 the 3 balloons buntch than is 28

p.s. i mght of got some equations wrong but this is what i got

Answer:

1

Step-by-step explanation:

because its the only one where if you run a line down the y axis it only crosses the line at one point

The manager has achieved a rating of 3.5, indicating above-average performance. The company's annual sales of $118,740 have surpassed the sales goal of $100,000.

The annual sales goal is $100,000, and the actual annual sales achieved is $118,740. The manager rating is 3.5. The manager rating of 3.5 indicates that the manager's performance is above average. However, it doesn't provide specific information about how well the manager has performed in relation to the sales goal.

With annual sales of $118,740, the company has exceeded its sales goal of $100,000. This suggests that the manager has successfully led the team to achieve higher sales than expected. The manager's performance, as indicated by the rating of 3.5, supports the notion that the manager has effectively managed the sales team and contributed to surpassing the sales goal. The manager's effective leadership and management skills likely contributed to exceeding the sales target, aligning with the positive rating received.

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Answer:

5x-2

Step-by-step explanation:

distribute the negative to get

7x+3-2x-1

simplify by combining like terms

5x-2

Answer:

76

Step-by-step explanation:

The investment problem is modeled by an initial value problem (IVP) where the rate of change of the investment is determined by the initial investment, monthly deposits, and the interest rate.

a) The investment problem can be modeled by an initial value problem where the rate of change of the investment, y(t), is given by the initial investment, monthly deposits, and the interest rate. The IVP can be written as:

dy/dt = 0.09y + 200, y(0) = 500.

b) To solve the IVP, we can use an integrating factor to rewrite the equation in the form dy/dt + P(t)y = Q(t), where P(t) = 0.09 and Q(t) = 200. Solving this linear first-order differential equation, we obtain the solution for y(t).

c) To find the value of the investment after 2 years, we substitute t = 2 into the obtained solution for y(t) and calculate the corresponding value.

d) After 2 years, the monthly deposit increases to $300. To find the value of the investment a year later, we substitute t = 3 into the solution and calculate the value accordingly.

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Chi-Square (χ2) is a statistical method that compares two data sets to see if they are different. Chi-Square (χ2) association between two categorical variables. The formula for the chi-square test statistic is as follows:χ² = ∑(O − E)² / Ewhere O is the observed frequency and E is the expected frequency.

The Chi-Square (χ2) is a statistical analysis that examines the discrepancies between an observed and an expected frequency. It is used to investigate the association between two categorical variables.The formula for the chi-square test statistic is as follows:χ² = ∑(O − E)² / Ewhere O is the observed frequency and E is the expected frequency.

The formula consists of four components that are labeled as follows: Observed Frequency (O)Expected Frequency (E)Chi-Square Test Statistic (χ2)Degree of Freedom (df)The observed frequency (O) is the number of observations in each cell of the contingency table. The expected frequency (E) is the frequency that is expected if there is no relationship between the two variables. The chi-square test statistic (χ2) is a measure of the difference between the observed and expected frequencies. The degree of freedom (df) is the number of categories minus one.

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Once we have categorized an object, our memory of the object increasingly resembles the category is B) prototype. This means that when we categorize an object, our memory of it begins to resemble the prototype or typical example of that category. For example, if we categorize a bird as a robin, our memory of the bird will increasingly resemble the characteristics of a typical robin.

This happens because our brain uses prototypes as a shortcut to process information and make sense of the world around us. We use prototypes to quickly identify objects and make assumptions about their characteristics based on their category.

our memory of an object after categorization is influenced by the prototype of the category. This helps us to quickly process and make sense of information, but it can also lead to errors and biases in our thinking.


A prototype is a mental image or best example of a category. When we categorize an object, our memory of the object increasingly resembles the prototype because we tend to recall the most representative or typical example of the category.

Once we categorize an object, our memory of the object becomes more like the prototype, which is the best example of the category. This is because we tend to remember the most representative or typical examples of a category.

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The total surface area of the cylinder is approximately 116.28 cm² (rounded to two decimal places).

To find the surface area of the cylinder, we need to first find the height of the cylinder. We know that the circumference of the base of the cylinder is equal to the length of the square paper, which is 10 cm.

The formula for the circumference of a circle is C = 2πr, where C is the circumference and r is the radius. Since we know that the circumference is 10 cm, we can solve for the radius:

10 = 2πr

r = 5/π

Now that we know the radius, we can find the height of the cylinder. The height is equal to the length of the square paper, which is 10 cm.

So, the surface area of the lateral surface of the cylinder is given by:

Lateral Surface Area = 2πrh

= 2π(5/π)(10)

= 100 cm²

The surface area of each end of the cylinder (i.e., top and bottom) is equal to πr². So, the total surface area of both ends is:

Total End Surface Area = 2πr²

= 2π(5/π)²

= 50/π cm²

Therefore, the total surface area of the cylinder is:

Total Surface Area = Lateral Surface Area + Total End Surface Area

= 100 + (50/π)

≈ 116.28 cm² (rounded to two decimal places)

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The function has a minimum value of -2 that occurrs at x = -1

Given that

g(x) = 2x^2 + 4x

This is a quadratic function with a positive leading coefficient (2), which means that it opens upward and so it has a minimum value.

We can find the vertex of the parabola (the point where it changes direction) by using the formula:

x = -b/2a

where a and b are the coefficients of the quadratic function.

In this case, a = 2 and b = 4, so:

x = -4/(2*2) = -1

To find the corresponding y-value (the minimum value of the function), we substitute x = -1 into the function:

g(-1) = 2(-1)^2 + 4(-1) = -2

Therefore, the minimum of the parabola is at the point (-1, -2).

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The point of intersections between y = x + 1 and y = x² +1 are (0, 1) and (1, 2)

From the question, we have the following parameters that can be used in our computation:

y = x + 1

y = x² +1

(0,1): Yes, (0,1) is a point of intersection between the line y = x + 1 and the parabola y = x² +1, since 1 = 0 + 1 = 0² + 1.

(1,2): No, (1,2) is a point of intersection between the line y = x + 1 and the parabola y = x² + 1, since 2 = 1 + 1 = 1² + 1.

(2,0): Yes, (2,0) is not a point of intersection between the line y = x + 1 and the parabola y = x² +1, since 0 = 2 + 1 ≠ 2² + 1.

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Answer:

4400

Step-by-step explanation:

Use the LCM of two or more numbers Calculator to find the Least Common Multiple of numbers 80, 50, 110 i.e. 4400 smallest integer divisible by all numbers. Least common multiple (LCM) of 80, 50, 110 is 4400.

Step-by-step explanation:

i think so is like this lah

The candy store will use 103 grams of sugar in 10 hours.

To find out how many grams of sugar the store will use in 10 hours, we can simply multiply the amount of sugar used in one hour (10.3 grams) by the number of hours (10).

To solve the problem, we use a simple multiplication formula: the amount used per hour (10.3 grams) multiplied by the number of hours (10) to find the total amount of sugar used in 10 hours.

We can interpret this problem using a rate equation: the rate of sugar usage is 10.3 grams/hour, and the time period is 10 hours. Multiplying the rate by the time gives the total amount of sugar used.

So the calculation would be:

10.3 grams/hour x 10 hours = 103 grams

Therefore, the candy store will use 103 grams of sugar in 10 hours.

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Therefore, the solution to the system of equations is (x, y) = (5, -5).

An equation is a mathematical statement that shows that two expressions are equal. It consists of two parts: the left-hand side (LHS) and the right-hand side (RHS), separated by an equal sign (=). The LHS and RHS can contain variables, constants, and mathematical operations such as addition, subtraction, multiplication, and division.

Here,

To solve the system of equations using elimination, we want to eliminate one variable (either x or y) by adding or subtracting the equations. We can eliminate y by multiplying the first equation by 5/4 and then adding the two equations together:

-4x - 4y = 0 (multiply by 5/4)

7x + 5y = 10

Multiplying the first equation by 5/4, we get:

-5x - 5y = 0

Now we can add the two equations together:

(7x - 5x) + (5y - 5y) = 10 + 0

2x = 10

Dividing both sides by 2, we get:

x = 5

To find y, we can substitute x = 5 into either equation:

-4x - 4y = 0

-4(5) - 4y = 0

-20 - 4y = 0

-4y = 20

y = -5

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a)The value of f f(5) is  6

b) The third derivative of the Taylor polynomial is  -5

c)  The value of f(5.1) using the Taylor polynomial is T₄(5.1) ≈ 5.8252

d) The value of f'(4.9) using the Taylor polynomial T₄ is f'(4.9) ≈ -5.158

a) To find the value of f(5), we need to look at the constant term in the Taylor polynomial T₄(x). We see that the constant term is 6, so f(5) = 6.

b) The third derivative of T₄(x) is -30(x-5), which means that the third derivative evaluated at x = 5 is -30(0) = 0. This means that the correct choice is 3. f ⁽³⁾(5) = 30.

c) To estimate f(5.1) using T₄(x), we plug in x = 5.1 into the expression for T₄(x) and simplify. The calculation is as follows:

T₄(5.1) = 6 − 4(0.1) + 3(0.1)² − 5(0.1)³ + 2(0.1)⁴

= 6 - 0.4 + 0.03 - 0.0005 + 0.00008

= 5.6252 (rounded to four decimal places)

Therefore, the correct choice is 5. f(5.1) ≈ 5.6252.

d) To estimate f'(4.9) using T₄(x), we need to differentiate T₄(x) and evaluate the derivative at x = 4.9. The derivative of T₄(x) is as follows:

T'₄(x) = -4 + 6(x-5) - 15(x-5)² + 8(x-5)³

To evaluate T'₄(4.9), we substitute x = 4.9 into the expression for T'₄(x) and simplify:

T'₄(4.9) = -4 + 6(4.9 - 5) - 15(4.9 - 5)² + 8(4.9 - 5)³

= -4 - 0.6 + 0.25 - 0.008

= -5.158

Therefore, the correct choice is 1. f'(4.9) ≈ -5.158.

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Answer:

b

Step-by-step explanation:

The correct answer is option A: 0.415.The probability that a randomly selected three-year-old is in daycare is 0.415. This is because the given information tells us that 41.5% of three-year-olds are enrolled in daycare.

Option A: 0.415 is the right answer.The likelihood of a randomly picked three-year-old being in creche is 0.415. This is due to the fact that 41.5% of three-year-olds are enrolled in nursery, according to the data.

Because a randomly chosen three-year-old can be in creche or not, the likelihood that a randomly chosen three-year-old is in creche is the same as the proportion of three-year-olds enrolled in creche, which is 0.415, or 41.5%.

To elaborate, probability is a measure of the possibility that an event will occur. It is usually a number between 0 and 1, with 0 indicating that the occurrence is impossible and 1 indicating that the event is unavoidable.

In this scenario, the event is picking a three-year-old who is enrolled in creche, with a chance of 0.415, or 41.5%, of this event occuring.

Therefore, the correct answer is option A: 0.415.

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The graph of f(x) = x√3 has been transformed to obtain the graph of g(x) = -12x - 9 - √3. We need to determine which transformations have been applied to the original graph.

To identify the transformations, let's compare the given equation g(x) = -12x - 9 - √3 with the original equation f(x) = x√3.

1. Horizontal Reflection (Reflection across the y-axis):

The negative coefficient in front of x (-12x) in g(x) indicates a horizontal reflection compared to the original graph. This means the graph of g(x) is a mirror image of the graph of f(x) across the y-axis.

2. Vertical Translation (Shift downward):

The constant term in g(x) (-9 - √3) indicates a vertical translation downward compared to the original graph. This means the graph of g(x) is shifted vertically downwards by 9 + √3 units.

Therefore, the correct transformations applied to the graph of f(x) = x√3 to obtain the graph of g(x) = -12x - 9 - √3 are a horizontal reflection across the y-axis and a vertical translation downward.

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Answer:

I got 2,717.45

Step-by-step explanation:

I did 2,363 × 15% = 354.45

then 2,363 + 354.45 = 2,717.45

Answer:

$2,780

Step-by-step explanation:

Let the original price be P

2,363 =P - 15% x P

2,363 =P - 15/100 x P

2,363 = P - 0.15P

2,363 = 0.85P

Divide both sides by 0.85

2,363/0.85 = 0.85P/0.85

2,780 = P

I hope this helps.

Answer:

2) The negative reciprocal of 4 is -1/4.

Using the point-slope form of a line (y - y1 = m(x - x1)), where (x1, y1) is the given point (-16, 2) and m is the slope:

y - 2 = -1/4(x - (-16))

y - 2 = -1/4(x + 16)

y - 2 = -1/4x - 4

y = -1/4x - 2

Therefore, the equation of the line perpendicular to y = 4x - 10 that passes through the point (-16, 2) is y = -1/4x - 2. So, the correct answer is A.

3) The given equation is y - 3x = -8. To find the equation of a line perpendicular to this, we need to determine the negative reciprocal of the slope of the given line, which is 3. The negative reciprocal of 3 is -1/3.

Using the point-slope form with the point (3, 2) and the slope -1/3:

y - 2 = -1/3(x - 3)

y - 2 = -1/3x + 1

y = -1/3x + 3

Therefore, the equation of the line perpendicular to y - 3x = -8 that passes through the point (3, 2) is y = -1/3x + 3. So, the correct answer is D.

4) The given line passes through the point (-5, 2) and the origin (0, 0). The slope of a line passing through two points can be found using the formula (y2 - y1) / (x2 - x1).

slope = (0 - 2) / (0 - (-5))

slope = -2 / 5

slope = -2/5

The negative reciprocal of -2/5 is 5/2. Therefore, the slope of a line perpendicular to the line passing through (-5, 2) and the origin is 5/2. So, the correct answer is D.

The height of the 10th bounce of the ball will be 0.6 feet.

A geometric sequence is a sequence in which each term is found by multiplying the preceding term by the same value.

The nth term of the geometric sequence is given by

\(\sf T_n=ar^{n-1}\)

Where,

According to the given question.

During the first bounce, height of the ball from the ground, a = 4.5 feet

And, the each successive bounce is 73% of the previous bounce's height.

So,

During the second bounce, the height of ball from the ground

\(\sf = 73\% \ of \ 10\)

\(=\dfrac{73}{100}(10)\)

\(\sf = 0.73 \times 10\)

\(\sf = 7.3 \ feet\)

During the third bounce, the height of ball from the ground

\(\sf = 73\% \ of \ 7.3\)

\(=\dfrac{73}{100}(7.3)\)

\(\sf = 5.33 \ feet\)

Like this we will obtain a geometric sequence 7.3, 5.33, 3.11, 2.23,...

And the common ratio of the geometric sequence is 0.73

Therefore,

The sixth term of the geometric sequence is given by

\(\sf T_{10}=10(0.73)^{10-1\)

\(\sf T_{10}=10(0.73)^{9\)

\(\sf T_{10}=10(0.059)\)

\(\sf T_{10}=0.59\thickapprox0.6 \ feet\)

Hence, the height of the 10th bounce of the ball will be 0.6 feet.

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Answer:

Yes, because for each value of x there is only one y.

Answer:D

Step-by-step explanation:

Answer:B (8)

Step-by-step explanation:

OVER 50 means anything higher than 50, NOT OLDER THAN 70 means anything that's 70 or lower. So we have a range of 51-70. Now, when we look at the diagram, we can tell that there are 4 people who are 51-60 years old which fits to the range we are looking for. Same with the 4 people in the 61-70 range.

Answer:k i’ll help i just can’t see that far what does it say

Step-by-step explanation:

Answer:

there are 280 black sheep

A z-statistic reports how many standard deviations an observed value is from the expected value, where the expected value is calculated using the population mean and standard deviation.

To calculate the z-statistic, use the following formula:

Where:

x = the observed value

μ = the population mean

σ = the population standard deviation

n = the sample size

The z-statistic tells us how many standard deviations an observed value is from the expected value, which is the population mean. A positive z-score indicates that the observed value is above the expected value, while a negative z-score indicates that the observed value is below the expected value. A z-score of 0 indicates that the observed value is equal to the expected value. By calculating the z-statistic, we can determine how unusual or significant an observed value is relative to the population.

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Complete Question:

a z-statistic reports how many sds an observed value is from the expected value, where the expected value is calculated using the___.

Hi! I'm Pearl, from your math class, you're the one who always uses ♡ this ♡

during class with Leah, right?

Anyways, here is your answer:

200 meters^3

Volume = 50×8×0.5 = 200 meters^3

Correct me if I'm wrong! :)

Answer: 200m³

Step-by-step explanation: 50m x 8m x 0.5m

The area of the polygon is solved to be  1044 squared cm

The area of the composite polygon is solved by dividing the object into two sections. Then adding up the areas

Section 1 has dimensions:

length * width = 46 * 14 = 644

section 2 has dimensions:

length = 46 - 21 = 25

width = 30 - 14 = 16

Area = 25 * 16 = 400

Area of the composite figure

section 1  + section 2

= 644 + 400

= 1044 squared cm

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