M 8 meters 45° N 459 P What is the length of PN? (G.8b) (1 point) O A. 16m OB. 412m O C. 83m O D. 82m

Answer:

5x^2 - 2x + 4

Step-by-step explanation:

The values of given differential equation  constant r are  = 1/5 and -3.

A differential equation is an equation which contains one or more terms and the derivatives of one variable (i.e., dependent variable) with respect to the other variable (i.e., independent variable) dy/dx = f(x)

Here “x” is an independent variable and “y” is a dependent variable.

For example, dy/dx = 5x A differential equation contains derivatives which are either partial derivatives or ordinary derivatives.

The derivative represents a rate of change, and the differential equation describes a relationship between the quantity that is continuously varying with respect to the change in another quantity.

There are a lot of differential equations formulas to find the solution of the derivatives.

As y = e power rx

y¹= dy/dx= re power rx

and y'' = r²e power rx

Hence 5y'' +14y' – 3y = 0 can be written as

5r²e - 14re** - 3e¹² - 0

or 5r2 + 14r - 3 - 0

or 5r2 + 15r - r - 3 - 0

or (5r − 1)(r + 3) = 0

r=1/5 or r= -3

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Answer:

C: 2500

Step-by-step explanation:

1) Simplify the question down as much as you can

In the question we can simplify the \(10^{3}\) to 1000

We can also change the · into a ×

This means our final simplified question would be 2.5 × 1000

2) Solve

An easy way of doing 2.5 × 1000 is to move the decimal point however many zeros there are...

E.g. To move the decimal point 3 times we would go three points to the right which would be 2500

HINT:

Another way of doing it would be to use long multiplication!

Hope this helps, have a great day!

Answer: x=14 y=10

Step-by-step explanation:

Answer:

80%

Step-by-step explanation:

Answer:

80%

Step-by-step explanation:

The equation of the line is (y - 1/12) = -4/3(x - 7/5).

What is the slope of a line?

A line's slope in mathematics is defined as the ratio of the change in the y coordinates to the change in the x coordinate.

Both the net change in the y-coordinate and the net change in the x-coordinate are represented by y and x, respectively.

Consequently, the formula for the change in the y-coordinate with respect to the change in the x-coordinate is

m = y/x = y/x = change in y/change in x

where "m" represents a line's slope.

Additionally, the slope of the line can be depicted by

tan θ = Δy/Δx

So, the slope of a line is tan.

The given equation of a line is:

3x-4y=7

-4y = -3x + 7

y = 3/4 x - 7/4

The slope of the line is 3/4.

The slope of the line perpendicular to the given line is - 1/m = - 4/3

The point-slope of a line is y - y₁ = m(x - x₁).

The given point is (7/5,1/12)

The equation of the line is

(y - 1/12) = -4/3(x - 7/5)

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Answer:

-0.2

I couldn't get step by step but hope this answer helps out a little...

(Do you need it for ur assignment?)

Step-by-step explanation:

-18/9 = 2, 9 goes into 18, 2 times, but  a negative divided by a positive always = a negative number so the answer would come out to be -2.  

-18/9 = 2, 9 goes into 18, 2 times, but  a negative divided by a positive always = a negative number so the answer would come out to be -2.  

however is you were typing -1.8 / 9 then it would be -0.2. Multiplying -0.2 * 9 would give you -1.8. Same rule applies as to why it's negative

I wasn't sure if the comma was a typo in your question but I Hope this helps :)

Answer:

22 cents per mile

Step-by-step explanation:

to get this answer, divide 17.60 by 4 to get the unit rate, or the rate when x=1.

Answer:

D. 24 inches

Step-by-step explanation:

the answer is 24 inches

Answer:

The lowest common denominator or least common denominator (abbreviated LCD) is the least common multiple of the denominators of a set of fractions. It is the smallest positive integer that is a multiple of each denominator in the set. Fractions write with fraction bar / like 3/4 .

Answer:

3

Step-by-step explanation:

Given expression:

\(\dfrac{(14^2-13^2)^{\frac{2}{3}}}{(15^2-12^2)^{\frac{1}{4}}}\)

Following the order of operations, carry out the operations inside the parentheses first.

Apply the Difference of Two Square formula  \(x^2-y^2=\left(x+y\right)\left(x-y\right)\)

to the operations inside the parentheses in both the numerator and denominator:

\(\implies \dfrac{((14+13)(14-13))^{\frac{2}{3}}}{((15+12)(15-12))^{\frac{1}{4}}}\)

Carry out the operations inside the parentheses:

\(\implies \dfrac{((27)(1))^{\frac{2}{3}}}{((27)(3))^{\frac{1}{4}}}\)

\(\implies \dfrac{(27)^{\frac{2}{3}}}{(81)^{\frac{1}{4}}}\)

Carry out the prime factorization of 27 and 81.

Therefore, rewrite 27 as 3³ and 81 as 3⁴:

\(\implies \dfrac{(3^3)^{\frac{2}{3}}}{(3^4)^{\frac{1}{4}}}\)

\(\textsf{Apply exponent rule} \quad (a^b)^c=a^{bc}:\)

\(\implies \dfrac{3^{(3 \cdot \frac{2}{3})}}{3^{(4 \cdot \frac{1}{4})}}\)

\(\implies \dfrac{3^2}{3^1}\)

\(\textsf{Apply exponent rule} \quad \dfrac{a^b}{a^c}=a^{b-c}:\)

\(\implies 3^{(2-1)}\)

\(\implies 3^1\)

\(\implies 3\)

Given that,

→ ((14² - 13²)^⅔)/((15² - 12²)^¼)

Evaluating the problem,

→ ((14² - 13²)^⅔)/((15² - 12²)^¼)

→ ((196 - 169)^⅔)/((225 - 144)^¼)

→ (27^⅔)/(81^¼)

→ ((3³)^⅔)/((3⁴)^¼)

→ (3²)/3

→ 9/3 = 3

Therefore, the solution is 3.

Check the picture below.

\(\stackrel{ \textit{\LARGE Areas} }{\stackrel{ triangle }{\cfrac{1}{2}(26)(17)}~~ + ~~\stackrel{ rectangle }{(26)(9)}}\implies 221+234\implies \text{\LARGE 455}\)

Based on the fact that the distance of the fishing line is the sample space being classified, we can say that it is Infinite and Continuous.

Distance is said to be a continuous variable because it can be described as an unlimited value between the objects being measured.

As a result, the distance of the fishing line in this case must be continuous which means that it is infinite by nature.

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The purpose of data is to provide information and insights that can be used to make informed decisions, draw conclusions, and gain knowledge about a particular subject or phenomenon.

Data plays a crucial role in various fields, including science, business, research, healthcare, and everyday life.One primary purpose of data is to describe and understand the world around us.

By collecting and analyzing data, we can identify patterns, trends, and relationships that exist within a dataset. This helps us gain a deeper understanding of complex systems and phenomena.

For example, in scientific research, data is used to study the behavior of natural processes, investigate the effects of interventions, and formulate theories and models.

Data also serves as a foundation for making informed decisions. By examining relevant data, individuals and organizations can assess the potential outcomes of different choices and select the most optimal course of action.

Data-driven decision-making enables organizations to improve efficiency, identify opportunities, mitigate risks, and enhance overall performance. In fields like marketing and finance, data is extensively used for market research, customer segmentation, trend analysis, and financial forecasting.

Furthermore, data is crucial for monitoring and evaluating performance. By collecting data over time, organizations can track progress, measure outcomes, and identify areas for improvement. Data-driven monitoring allows for evidence-based assessments and adjustments to strategies or interventions.

Overall, the purpose of data is to provide reliable information that can be used to enhance understanding, support decision-making, and drive progress in various domains. It empowers individuals and organizations with the ability to derive insights, solve problems, and make meaningful contributions to society.

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Answer:

(-5, 0) and (0,4)

Step-by-step explanation:

Given equation: -4x + 5y = 20

Sub. in the values

When x = -5 and y = 0 (-5,0),

\( - 4( - 5) + 5(0) = 20 \)

When x = 0 and y = 4 (0,4),

\( - 4(0) + 5(4) = 20\)

That's how I would do it, not sure if your school has another method. Hope this helps :)

Answer: x = -5 and y = 4

Step-by-step explanation: its the first option do you need me to exlain how cuz its multiple choice  

Answer:

the answer is 5/8

Step-by-step explanation:

jusst use the caculator

The value of gradient of function is |Vf| = √(C1^2 + C2^2 + C3^2) .

To compute the gradient of the given function, we need to find its partial derivatives with respect to each variable. Let's begin by taking the partial derivative of f with respect to x1:

∂f/∂x1 = -C1

Similarly, we can calculate the partial derivatives with respect to x2 and x3:

∂f/∂x2 = -C2

∂f/∂x3 = -C3

The gradient of f is the vector of its partial derivatives:

Vf = [-C1, -C2, -C3]

Therefore, the gradient of f is a vector whose en tries are the negative of the constants C1, C2, and C3. This vector points in the direction of the steep est as cent of the function f at the point (0,0,0). In other words, if we want to increase the value of f as much as possible starting from (0,0,0), we should move in the direction of Vf.

It's worth noting that the magnitude of the gradient vector gives us the rate of change of the function in the direction of steepest as cent. In this case, the magnitude of Vf is:

|Vf| = √(C1^2 + C2^2 + C3^2)

This tells us how quickly the function f changes as we move away from (0,0,0) in the direction of steepest as cent.

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Answer:

70

Step-by-step explanation:

If the team continues with same pace, they expected wins as per previous ratio:

Expected wins 70 out of 78 games

Answer:

events at A and B are independent because P(A)(B)≠P(A)

Answer:

1) 10:1:3

2)a. Soup-20 oz. Cheese-2 cups, Pasta-6 cups

2)b. Soup-5 oz. Cheese-1/2 cup, Pasta-1 1/2 cups

2)c. Soup-50 oz. Cheese-5 cups, Pasta-15 cups

2)d. Soup-2 oz. Cheese- 1/5 cup, Pasta-3/5 cup

3) 3:6 = 1:2

4)a. 3 batches

4)b. 6 batches

4)c. 1/2 batch

Elaboration

1) Yes, because it simplifies down to 5:3.

2) Yes, because it also simplifies down to 5:3.

3) 25:15 and 35:21

4) If they share a zoom factor then they are equivalent.

5) Equivalent ratios are ratios that make the same comparison of numbers.

Evaluation

1) 2:3

2) They are equivalent because they share a zoom factor of 2.

Last Page

4)a. 28 oz of cream cheese. (35*0.8)

4)b. 4.8 weeks (1.6*3)

4)c. $4,000 (4*1,000)

Evaluation

1) 2 lbs-$6, 0.33 lbs-$1, 1 lbs-$3

2) 0.33 is the amount in pounds that you can get at the price of $1, and 1 pound of grapes will cost $3

Maddy's rule for obtaining the x-coordinate values and Ted's rule for

obtaining the y-coordinate values combine to form a linear graph.

Reasons:

The given rules used to graph the equations are;

Maddy's rule  for the x-coordinate values = x + 2, where, x ≥ 3

Ted's rule for the y-coordinate values = y + 4, where, y ≥ 0

Therefore, the following table of values can be generated;

\(\begin{tabular}{|c|c|}x&y\\3&0\\5&4\\7&8\\9&12\\11&16\end{array}\right]\)

The first difference of the y-values is constant and the difference in the x-

values is also a constant, therefore, the data represents a linear function

and the graph is also linear.

Using the above table of values obtained from Maddy's and Ted's rules, the

graph of the ordered pair can be plotted by entering the values in MS

Excel spread sheet and using the insert Scatter plot function.

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Answer:

4

Step-by-step explanation:

The biggest number that you can divide 28 and 30 is 4.

Answer:

Greatest common factor (GCF) of 28 and 30 is 2.

Step-by-step explanation:

You find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28 and 30.

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

Plug the point (-1,20) into the equation.

20 = a|-1|+7

13 = a|-1|

13 = a ⋅ 1

a= 13

:::::

(1,20) is another point on the graph.

Answer:

yeah

Step-by-step explanation:

0

Your second impression was "right"; the answer is 36 in one restricted interpretation of the problem, in which a sandwich has precisely one type of bread, one type of meat, and one type of cheese.

The largest possible interpretation is that a sandwich consists of a top bread, 1 to 3 types of meat, 1 to 3 types of cheese, and a bottom bread which could be different from the top slice of bread (but two sandwiches are considered the same if the only difference is turning one upside down). The answer to that problem involves, for example, seven possible combination of meats, and is

(42)bread⋅(23−1)meat⋅(23−1)cheese=6⋅7⋅7=594

If you must use the same type of bread top and bottom the answer is

(41)bread⋅(23−1)meat⋅(23−1)cheese=4⋅7⋅7=396

Answer:

A local manufacturing firm produces four different metal products, each of which must be machined, polished and assembled. The specific time requirements (in hours) for each product are as follows:

Machining, hours Polishing, hours Assembling, hours

Product I 3 1 2

Product II 2 1 1

Product III 2 2 2

Product IV 4 3 1

The firm has available to it on weekly basis, 480 hours of machining time, 400 hours of polishing time and 400 hours of assembling time. The unit profits on the product

are Birr 360, Birr 240, Birr 360 and Birr 480, respectively. The firm has a contract with a distributor to provide 50 units of product I, and 100 units of any combination of products II and III each week. Through other customers the firm can sell each week as many units of products I, II and III as it can produce, but only a maximum of 25 units of product IV. How many units of each product should the firm manufacture each week to meet all contractual obligations and maximize its total profit? Make a mathematical model for the given problem. Assume that any unfinished pieces can be finished the following week.explanation:

Step-by-step explanation:

Answer:

Its D. 36

Step-by-step explanation:

Answer: To calculate the average cost per widget, we need to consider both the fixed costs and the variable costs.

Fixed costs: $34,000

Variable costs per widget: $5.00

Total costs = Fixed costs + (Variable costs per widget × Number of widgets)

Total costs = $34,000 + ($5.00 × 7,000)

Total costs = $34,000 + $35,000

Total costs = $69,000

Average cost per widget = Total costs / Number of widgets

Average cost per widget = $69,000 / 7,000

Average cost per widget ≈ $9.86

Therefore, the average cost per widget of producing 7,000 Wild Widgets is approximately $9.86.

Step-by-step explanation: :)

The expression that is equivalent to \(80^{(1/4}\) * x is \(80^{4/x}\)

To determine the equivalent expression to \(80^{1/4}\) * x, let's analyze each option:

\(80/4^{x}\)

This expression simplifies to \(20^{x}\), but it is not equivalent to the original expression.

Applying the power of a power rule, this expression simplifies to \(80^{x/4}\) , which is not equivalent to the original expression.

\(80/x^{4}\)

This expression can be simplified as \(80^{4 x^{4} }\) , which is not equivalent to the original expression.

Therefore, the expression that is option d.

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