Find the slope/rate of change using the following ordered pairs: (8, 10) and (-7, 14).

Answer:

D: 5 1/2

Step-by-step explanation:

1 1/2 + 4 = 5 1/2

Answer:

Step-by-step explanation:

that is 55/22 = 2.5 hrs

Answer: .two and a half hours.

Step-by-step explanation:

22/1 = 55/x

22x=55

X=2.5

Answer:

C

Step-by-step explanation:

The particular solution to the differential equation \(4\frac{d^2y}{dt^2} + 5\frac{dy}{dt} +3y=e^{4it}\) is given by \(g(t) = \frac{1}{-61+20i} e^{4it}\).

An equation involving one or more functions and their derivatives is referred to as a differential equation. The rate of change of a function at a place is determined by the derivatives of the function. It is mostly employed in disciplines like physics, engineering, biology, and others. Studying equation-satisfying solutions and the solutions' characteristics is the main goal of differential equations.

The solution of a differential equation is a function that fulfils the specified differential equation. A generic solution is one that has as many arbitrary constants as the order of the differential equation. A specific solution is the one devoid of arbitrary constants. 

\(4\frac{d^2y}{dt^2} + 5\frac{dy}{dt} +3y=e^{4it}\)

(4D² + 5D + 3) y = \(e^{4it}\)

Using the particular solution,

\(g(t) = \frac{1}{f(D)} e^{at}\)

we have,

f(D) = (4D² + 5D + 3)

therefore,

\(g(t) = \frac{1}{4(4i)^2+5(4i)+3} e^{at}\\\\= \frac{1}{-64+20i+3} e^{at}\\\\g(t) = \frac{1}{-61+20i} e^{4it}\)

Therefore, the particular equation is : \(g(t) = \frac{1}{-61+20i} e^{4it}\).

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Complete question:

Find a particular solution Find a particular solution to the differential equation dạy  4d^2y/dt^2 +5 dy/dt + 3y = e^4it In the form y = Ae^4it, where A is a complex constant. Here i = -1 is the square root of -1. g(t) =

Answer:

Step-by-step explanation:

\(\sf 6(9-6)-23+4\)

\(\sf (6)(3)-23+4\)

\(\sf 18-23+4\)

\(\sf -5+4\)

\(\sf -1\)

Answer:

First you are to do what is in the parenthesis first:

9 - 6 = 3

The equation is now:

6 * 3 - 23 + 4

Then you do the multiplcation:

6 * 3 = 18

18 - 23 + 4

23 + 4 = 27

27 - 18 = 9

Step-by-step explanation:

Hope it helps! =D

60.82 kilos are equal to 134 pounds. To convert from pounds to kilogram multiply the amount of pounds by 0.45359237 because one pound is equivalent to 0.45359237 kilogram .

134 lbs * 0.45359237 = 60.82 kg

It's easy to convert 134 pounds to kilos. Simply multiply the number of pounds by 0.45359237 to convert from pounds to kilogrammes. One pound is equal to 0.45359237 kilogram .134 lbs multiplied by the an

0.45359237 in this instance equals 60.82 kilos. Hence, 134 pounds are equivalent to 60.82 kilos.  You would just reverse the process and divide the amount of kilogram by 0.45359237 to convert from kilogram to pounds. If you were to convert 90 kilogram to pounds, for instance, you would divide 90 by 0.45359237, which would give you 199.6 lbs. It only takes a fundamental grasp of multiplication and division to convert between the two units.

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A. Manager A wants the decision to be 0.4, so they would recommend a decision of 0.4 to the principal.

B. The recommendations in the Nash equilibrium would be rA = 0.4 and rB = 0.7.

(a) If Manager B always truthfully reports the state of the economy (s = 0.7), Manager A would send a recommendation that minimizes their disutility Ua. In this case, Manager A wants the decision to be 0.4, so they would recommend a decision of 0.4 to the principal.

(b) In a Nash equilibrium, both managers strategically make their recommendations based on their own utility. Manager A wants to minimize their disutility Ua, which increases as the decision deviates from 0.4. Manager B wants to minimize their disutility UB, which increases as the decision deviates from 0.7.

To find the Nash equilibrium, we need to consider the recommendations made by both managers simultaneously. Let's denote the recommendations as rA (from Manager A) and rB (from Manager B). The principal's decision, d, would be the average of the recommendations, so d = (rA + rB) / 2.

Given that both managers strategically choose their recommendations, they will aim to minimize their disutility. In this case, Manager A would recommend a decision of 0.4 (as it minimizes Ua), and Manager B would recommend a decision of 0.7 (as it minimizes UB). Therefore, the recommendations in the Nash equilibrium would be rA = 0.4 and rB = 0.7.

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Answer:

72

Step-by-step explanation:

First, you will multiply 150 times 48. Then, you would divide the answer, 7200, by 100 to get 72. I hope this helps :)

Answer:

No Solution

Step-by-step explanation:

Slope is rise/run

rise = 1

run = 0

you can't divide by 0 so no solution

Answer:

The slope of the line is undefined.

Step-by-step explanation:

The slope of a line is given by \((y_2-y_1)/(x_2-x_1)\), where \((x_1, y_1)\) and \((x_2, y_2)\) are points on the line. Since this is a vertical line, \(x_2-x_1\) will, however, be equal to zero. We cannot divide by zero, so the slope of the line is not defined.

I earn $12 in interest after 12 years while my friend earns the same amount in 4 years.

Simple interest is an interest charge that borrowers pay lenders for a loan. It is calculated using the principal only and does not include compounding interest. Simple interest relates not just to certain loans. It's also the type of interest that banks pay customers on their savings accounts.

Given here: My principal = $50 and friend's =$50 also friend's account earns 6% annual interest rate

As per question we get

let the time taken to earn $12 interest rate be t then

12=50×2×t /100

t=12 years

while for my friend

12=50×6×t /100

3t=12

t=4 years

Hence, I earn $12 in interest after 12 years while my friend earns the same amount in 4 years.

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Answer:

150%as a fraction is  3/2

Answer:

1.50 or 1 1/2

Step-by-step explanation:

Hope this helps!

Answer:

x=8

this is because you do 57+89=146

and then you do 180-146 because a triangle adds up to 180.

this gives you 34

so the value of 5x-6=34

add the 6 onto 34 which gets rid of the -6 ans fives you the answer of 40

After that yoy divide 40 by 5 which gives you the value of x which is 8

According to the Institute, the top five exporters from 2014 to 2018 were the United States, Russia, France, Germany and China, while the top five importers were Saudi Arabia, India, Egypt, Australia and Algeria. Many developed countries have domestic munitions industries to supply their armies.

The military industry, also known as defense industry, defense industry, military industry, or arms trade, is a global industry that manufactures and sells weapons and military technology. Companies in the public and private sectors conduct research and development, design, manufacture and maintenance of military equipment, equipment and facilities. Arms industry products include weapons, ammunition, weapons platforms, military communications, and other electronic products. The military industry also provides other logistical and operational support.

This was a 4.6% increase over 2017 sales, marking the fourth consecutive year of Top 100 firearm sales growth. In 2004, more than $30 billion was spent on international arms trade (this % figure does not include domestic arms sales). According to the Institute, the top five exporters from 2014-2018 were the United States, Russia, France, Germany and China, while the top five importers were Saudi Arabia, India, Egypt, Australia and Algeria.

Many developed countries have domestic munitions industries to supply their armed forces. The Small Arms Survey estimates that there are 875 million small arms in circulation worldwide, manufactured by more than 1,000 companies in approximately 100 countries.

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Answer:

The asnwer in the bottom right corner is correct. When multiplying exponents with the same base all you do is add the exponent for example: For 9 to the 6 power times 9 to the 4 power the answer is 9 to the 10 since we just add 4 and 6

Step-by-step explanation:

After considering all the given data we conclude that the current measured temperature in degree Fahrenheit is 91°F, under the condition that the midday temperature in Palm Beach was 86 °F and the given expression is 86 -|-2-3| which represents current temperature.

To evaluate the temperature let us first consider the expression 86 -|-2-3| which represents the current temperature after 3 hours of temperature change of 2°F per hour from an initial temperature of 86°F.

The given expression can be again simplified as

86 -|-2-3| = 86 -|-5|

= 86 - (-5)

= 91°F

Hence, after evaluating we finally measured the current temperature as 91°F.

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One year percent change is 14 percent.

A portion of a whole expressed in hundredths the number of students present was high. B: The outcome of dividing a number by a percentage is that the percentage equals the rate divided by the base. A portion of victories or profits (2a).

Given that,

Berkshire Hathaway closed at 185,690 per share on February 26.

One share's closing price from one year ago was 215,970.

So,the percentage of one year is 215970 × 185690/185690 × 100

So, the percent of one year is 14 percent.        

Therefore, One year percent change is 14 percent.

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\( {x}^{8} + {x}^{4} + 1 - (24)(7) - 45\)

the simplest form.

\( {x}^{8} + {x}^{4} + 1 - (24)(7) - 45\)

\( = {x}^{8} + {x}^{4} + 1 - 168 + - 45\)

\( = ( {x}^{8} ) + ( {x}^{4} ) + (1 + - 168 + - 45)\)

\( = {x}^{8} + {x}^{4} - 212\)

Step-by-step explanation:

7/5 = x/3     cross multiply to get  21 = 5x     then x = 21/5 = 4.2

12/1 = 9/x     cross multiply to get 12x = 9    then x = 9/12 = .75

x/7 = 6/5     cross multiply to get 5x = 42   then x = 42/5 = 8.4

3/x = 9/7     cross multiply to get 21 = 9x   then x = 21/9 = 2.33

2/x = 5/9    cross multiply to get 18 = 5x    then   x = 18/5 = 3.6

Answer:

-12

Step-by-step explanation:

integer rule = when a + and - comes it is indicated as - so ..

8-20 = -12

we put a minus sighnbecause 20 is the bigger number  

Answer:

-12

Step-by-step explanation:

Note the rules of the signs:

If there are two positive signs next to each other, the resulting sign will be positive. Example + (+  ).

If there is one negative sign and one positive sign directly next to each other, the resulting sign will be negative Example - (+  ) or + (-  ).

If there are two negative signs directly next to each other, the resulting sign will be positive. Example - (-  ).

In this case, there is one negative, and one positive sign. Subtract 8 with 20:

8 + (-20) = 8 - 20 = -12

-12 is your answer.

~

Answer:

3

= 15/5

= \(\sqrt[3]{27}\)

= 1.5*2

= 3/1

= 3*1

= 3¹

= 1/3⁻¹

= 3⁴ / 3³

= 3⁵ * 3⁻⁴

The value of -1/2(-4a - 6) + a^2 when the value of a is a = 8 is 83

The complete question is added as an attachment

The expression is given as:

-1/2(-4a - 6) + a^2

The value of a is

a = 8

So, we have:

-1/2(-4 * 8 - 6) + 8^2

Evaluate the product and the exponent

-1/2(-32 - 6) + 64

Evaluate the difference

-1/2(-38) + 64

Expand

19 + 64

Evaluate

83

Hence, the value of -1/2(-4a - 6) + a^2 when the value of a is a = 8 is 83

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Therefore, in either partial derivatives, we have u = 0 or v = 0.

The given information implies that two vectors u and v satisfy:

u * v = 0, where * denotes the dot product between vectors.

u X v = 0, where X denotes the cross product between vectors.

From the first equation, we know that the angle between u and v is either 90 degrees or 270 degrees. That is, u and v are orthogonal (perpendicular) to each other.

From the second equation, we know that the magnitude of the cross product u X v is equal to the product of the magnitudes of u and v multiplied by the sine of the angle between them. Since u and v are orthogonal, the angle between them is either 90 degrees or 270 degrees, which means that the sine of the angle is either 1 or -1. Therefore, we have:

|u X v| = |u| * |v| * sin(θ)

= 0

Since the magnitudes of u and v are non-negative, it follows that sin(θ) must be zero. This can only happen if the angle between u and v is either 0 degrees (i.e., u and v are parallel) or 180 degrees (i.e., u and v are anti-parallel).

In the case where u and v are parallel, we have:

u * v = |u| * |v| * cos(θ)

= |u|²

= 0

This implies that |u| = 0, which means that u = 0.

In the case where u and v are anti-parallel, we have:

u * v = |u| * |v| * cos(θ)

= -|u|²

= 0

This again implies that |u| = 0, which means that u = 0.

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I understand that algebraic operations can be confusing at first, but I'll do my best to explain them step by step. Let's start with addition and subtraction in algebra, and then move on to multiplication and division.

Addition in Algebra:

Start with two or more algebraic expressions or terms that you need to add together.

Identify like terms, which are terms that have the same variables raised to the same powers. For example, 3x and 5x are like terms because they both have the variable x raised to the power of 1.

Combine the coefficients (the numbers in front of the variables) of the like terms. For example, if you have 3x + 5x, you add the coefficients 3 and 5 to get 8.

Write the sum of the coefficients next to the common variable. In this case, it would be 8x.

If there are any remaining terms without a like term, simply write them as they are. For example, if you have 8x + 2y, you cannot combine them because x and y are different variables.

Subtraction in Algebra:

Subtraction is similar to addition, but instead of adding terms, we subtract them.

Start with two algebraic expressions or terms.

Identify like terms, as we did in addition.

Instead of adding the coefficients, subtract the coefficients of the like terms.

Write the difference of the coefficients next to the common variable.

Handle any remaining terms without a like term in the same way as in addition.

Multiplication in Algebra:

Multiply the coefficients of the terms together. For example, if you have 2x * 3y, multiply 2 by 3 to get 6.

Multiply the variables together. In this case, multiply x by y to get xy.

Write the product of the coefficients and variables together. So, 2x * 3y becomes 6xy.

Division in Algebra:

Divide the coefficients of the terms. For example, if you have 12x / 4, divide 12 by 4 to get 3.

Divide the variables. If you have x / y, you cannot simplify it further because x and y are different variables. So, you leave it as x / y.

Remember, these steps are general guidelines, and there might be additional rules and concepts specific to certain algebraic expressions.

It's important to practice and familiarize yourself with these operations to gain confidence and improve your understanding.

Answer:

40/91

Step-by-step explanation:

Luke will need 12 litres of water in 3 Bukos to make the taste same.

Given, During weekend Luke help his mother in making Buko juice.

For every Buko, Luke add 4 litres of water.

we have to find the amount of water needed for 3 buko so that the taste will be same.

As, 1 Buko = 4 litres

3 Bukos = 3×4 litres

3 Bukos = 12 litres

So, he will need 12 litres of water in 3 Bukos to make the taste same.

Hence, Luke will need 12 litres of water in 3 Bukos to make the taste same.

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Answer:

1

Step-by-step explanation:

The slope of the line represented by the equation f(t)=2t−6, The slope is −6 and the y-intercept is 2.

We are given a line with the equation, We need to find the slope and y-intercept of the line.

We know the slope-intercept form of line is: \(y=mx+c\)

Here, m denotes the line's slope, c its y-intercept, and y is a function of x.

The phrase "y is a function of x" indicates that y's value depends on x.

F(t) in the equation denotes that f is a function of t in the question.

Comparing this equation with the given equation \(f(t)=2t-6\)

Here, f is the function of t, 2 is the slope and -6 is the y-intercept.

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