If c^2+s^2=1 what does c+s=

Answer:

18.44%

Step-by-step explanation:

Let :

Percentage who rode bus to work last year = x

Percentage who ride bus to work this year = 27.1%

Percentage who ride bus to work this year = [percentage who rode bus to work last year + 47% of percentage who rode bus to work last year]

Mathematically ;

27.1% = x + 47% of x

0.271 = x + (0.47x)

0.271 = x + 0.47x

0.271 = 1.47x

x = 0.271 / 1.47

x = 0.1843537

x = 0.1843537 * 100%

x = 18.435%

x = 18.44%

Answer:

No, it is not a linear equation

Step-by-step explanation:

This equation contains the term x², meaning that it is a quadratic function (parabola)

So, it is not a linear equation.

If it were a linear equation, x would not be squared, and the equation would have been in y = mx + b form.

The answer is no, it is not a linear equation.

Answer:

\( \large \sf \bullet \: y = {x}^{2} + 7\)

Is it a linear Equation

We may notice that

x has power as 2.

So,

We know that

A linear Equation doesn't consist of power. Linear equation only consist of variable and constant.

No,

Its a Quardtic equation

Answer:

It's the one in the bottom

Step-by-step explanation: 8 x + 14 has no solution in their section because 4 -7 is 3 meaning that it's correct yw

Answer:

b and d

Step-by-step explanation:

if you solve them be is 3=2 and d is 1= -8 so they have no solution.

hope this helps

Question 3: True

Question 4: False

Question 5: True

If the derivative of a function, f'(x), is positive for values of x less than c and negative for values of x greater than c, then it indicates a change in the slope of the function. This change from positive slope to negative slope suggests that the function has a maximum value at x = c.

This is because the function is increasing before x = c and decreasing after x = c, indicating a peak or maximum at x = c.

Question 3: If f'(c) < 0 then f(x) is decreasing and the graph of f(x) is concave down when x = c.

True

When the derivative of a function, f'(x), is negative at a point c, it indicates that the function is decreasing at that point. Additionally, if the second derivative, f''(x), exists and is negative at x = c, it implies that the graph of f(x) is concave down at that point.

Question 4: A local extreme point of a polynomial function f(x) can only occur when f'(x) = 0.

False

A local extreme point of a polynomial function can occur when f'(x) = 0, but it is not the only condition. A local extreme point can also occur when f'(x) does not exist (such as at a sharp corner or cusp) or when f'(x) is undefined. Therefore, f'(x) being equal to zero is not the sole requirement for a local extreme point to exist.

Question 5: If f'(x) > 0 when x < c and f'(x) < 0 when x > c, then f(x) has a maximum value when x = c.

True

If the derivative of a function, f'(x), is positive for values of x less than c and negative for values of x greater than c, then it indicates a change in the slope of the function. This change from positive slope to negative slope suggests that the function has a maximum value at x = c. This is because the function is increasing before x = c and decreasing after x = c, indicating a peak or maximum at x = c.

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Answer:

16767

Step-by-step explanation:

Each new term is found by multiplying the previous term by 3.  Thus, 3 is the common ratio.  The formula for this geometric series is therefore

a(n) = 23*3^(n - 1).

The 7th term is a(7) = 23*3^6 = 16767

Therefore , the solution of the given problem of equation comes out to be the solution is y = 5x + 70.

In order to show consistency between two conflicting statements, variable words are frequently utilised in sophisticated algorithms. Equations are academic phrases that are used to demonstrate expression the equality of different academic figures. The normalisation procedure in this example yields b + 7 rather than a single formula that divides 12 into two pieces that may be used with information from y + 7.

Here,

You can employ a technique known as linear regression to ascertain the equation of the line of fit.

You may calculate the slope and y-intercept of the line of best fit using a calculator or software that supports linear regression.

The line of best fit for the provided scatter plot appears to have a slope of roughly 5 and a y-intercept of roughly 70.

Hence, the following would be the line of fit's equation:

=> y = 5x + 70

where x represents the time spent studying and y represents the test scores.

Hence, the solution is y = 5x + 70.

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The particular solution is:
yp(t) = -sin(4t)

To find a particular solution to the given differential equation y'' + 16y = -16 sin(4t), we will use the method of undetermined coefficients.

First, we will guess the form of the particular solution. Since the right-hand side is a sinusoidal function, our guess for the particular solution will be in the form:

yp(t) = A sin(4t) + B cos(4t)

Next, we need to find the first and second derivatives of yp(t):

yp'(t) = 4A cos(4t) - 4B sin(4t)
yp''(t) = -16A sin(4t) - 16B cos(4t)

Now, we will plug yp(t) and its derivatives into the given differential equation:

-16A sin(4t) - 16B cos(4t) + 16(A sin(4t) + B cos(4t)) = -16 sin(4t)

Simplify the equation:

16B cos(4t) = -16 sin(4t)

Now we can solve for the coefficients A and B:

B = 0 (since there is no cos(4t) term on the right-hand side)
A = -1 (since the coefficient of sin(4t) is -16)

So the particular solution is:

yp(t) = -sin(4t)

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Answer:

y = 3

Step-by-step explanation:

12.75y = 38.25

To find the value of y, divide each side by 12.75

12.75y/12.75 = 38.25/12.75

y = 3

The limit of the expression as (x, y) approaches (1, 2) is 8.

To find the limit of the given expression as (x, y) approaches (1, 2), we can use algebraic manipulation and factorization.

First, let's simplify the expression:

\((x^2 - 1)(y^2 - 4) / ((x - 1)(y - 2))\)

Next, we can factorize the numerator and denominator:

\((x^2 - 1) = (x - 1)(x + 1)\\(y^2 - 4) = (y - 2)(y + 2)\)

Substituting these factorizations into the expression, we have:

((x - 1)(x + 1)(y - 2)(y + 2)) / ((x - 1)(y - 2))

Now, we can cancel out the common factors of (x - 1) and (y - 2):

(x + 1)(y + 2)

At this point, we can directly substitute the values x = 1 and y = 2 into the expression:

(1 + 1)(2 + 2)

= 2 × 4

= 8

Therefore, the limit of the expression as (x, y) approaches (1, 2) is 8.

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To determine the number of gallons required to recover 1 kWh of electricity, we need to consider the potential energy of the water. We can convert the mass to gallons by dividing it by the weight of one gallon of water: \(Number of gallons = Mass / 8.34 pounds\)

To determine the number of gallons required to recover 1 kWh of electricity, we need to consider the potential energy of the water. One gallon of water weighs approximately 8.34 pounds.

Given that the tank is raised 10 feet from the ground, the potential energy of the water is given by the formula:

\(Potential Energy = Mass x Gravity x Height\)

Since we want to recover 1 kWh of electricity, which is equivalent to 3600 kJ, and assuming a conversion efficiency of 100%, we can equate the potential energy to the electrical energy:

\(Potential Energy = Electrical Energy\\Mass x Gravity x Height = Electrical Energy\)

Assuming the acceleration due to gravity is approximately 9.8 m/s^2, we can convert the height to meters:

10 feet = 3.048 meters

Now we can calculate the mass of water needed using the equation:

\(Mass = Electrical Energy / (Gravity x Height)\\Mass = (3600 kJ) / (9.8 m/s^2 x 3.048 m)\)

Finally, we can convert the mass to gallons by dividing it by the weight of one gallon of water:
\(Number of gallons = Mass / 8.34 pounds\)

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Approximately 0.999 gallons of water would need to be pumped into the tank to recover 1 kWh of electricity at 100% conversion efficiency.

To calculate the number of gallons needed to generate 1 kWh of electricity with a conversion efficiency of 100%, we can use the principle of energy conservation.

First, we need to determine the potential energy of the water as it falls 10 feet. The potential energy can be calculated using the formula: potential energy = mass x acceleration due to gravity x height.

Since we know the height (10 feet) and acceleration due to gravity (32.2 ft/s^2), we need to find the mass of the water.

To do this, we can use the fact that 1 gallon of water weighs approximately 8.34 pounds. So, we convert the weight of the water into mass using the conversion factor 1 pound = 0.454 kg.

Once we have the mass, we can calculate the potential energy. Since 1 kWh is equal to 3600 kJ, we can equate the potential energy to 3600 kJ.

Finally, to find the number of gallons needed, we can divide the mass of water by the density of water (1 kg/L) to convert it into liters, and then divide by the conversion factor of 3.78541 to convert it into gallons.

Therefore, the number of gallons needed to generate 1 kWh of electricity is calculated as follows:

1. Convert weight of water into mass: 8.34 lbs x 0.454 kg/lb = 3.782 kg
2. Calculate potential energy: potential energy = mass x acceleration due to gravity x height = 3.782 kg x 9.8 m/s^2 x 3.048 m = 113.3 J
3. Convert potential energy into kJ: 113.3 J = 0.1133 kJ
4. Divide potential energy by 3600 kJ: 0.1133 kJ / 3600 kJ = 3.14 x 10^-5
5. Convert mass of water into liters: 3.782 kg / 1 kg/L = 3.782 L
6. Convert liters into gallons: 3.782 L / 3.78541 = 0.999 gallons

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Answer:

1= 112°

3= 68°

4= 22°

5= 90°

Step-by-step explanation:

comment if u need explanation :)

Answer:

d= 8.3 units

➴➵➶➴➵➶➴➵➶

\(Given:\)

\(L=7\)

\(B=4\)

\(H=2\)

\(d=\sqrt{L^2+B^2+H^2}\)

\(d=\sqrt{7^2+4^2+2^2}\)

\(d=\sqrt{49+16+4}\)

\(d=\sqrt{69}\)

\(d=8.3~units\) ✔︎

•❅────✧❅✦❅✧────❅•

hope it helps...

have a great day!!!

The range of the distribution is the parameter that is required to convert a computer-generated random variable into a uniform random variable. Below are more than 100 words explaining this in detail:A uniform random variable is a random variable with a probability distribution function that is uniform across all possible values.

The probability density function of a uniform distribution is constant over the range of values of the variable. Therefore, it has equal probability of taking any value within the range of values that it is defined.The process of converting a computer-generated random variable into a uniform random variable is known as uniform random number generation. The process of uniform random number generation is an important aspect of computer simulation and statistical analysis of data.

It is used to generate random numbers that follow a uniform distribution, which is a common distribution in many applications.The range of the distribution is the parameter that is required to convert a computer-generated random variable into a uniform random variable. This is because the range of the distribution defines the possible values that the variable can take. By mapping the computer-generated random variable to the range of the uniform distribution, we can convert it into a uniform random variable.

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Answer:

The final price of the jacket is $40.95.

Step-by-step explanation:

65.00 * 40% = 26

65.00 - 26 = 39

39 * 5% = 1.95

39 + 1.95 = 40.95

Step-by-step explanation:

The total bill will be the sum of the rent and the cost for the total time spent.

$15 + $6 * 2.5

$15 + $15

$30

Answer:

400 miles

Step-by-step explanation:

If 1 inch is equal to 200 miles and the distance from A to B is 2 inches, multiply 200 × 2 to get 400

Answer:

The actual difference is 400 inches.

Step-by-step explanation:

To find the actual distance, you multiply the distance (which is 2 inches),  To the scale 1:200. 2 x 200 = 400. Therefore the actual distance which is 400 inches.

The GLB of the set {x : |x - 4| < 1}  is option (d) 3

The set {x : |x - 4| < 1} can be written as the open interval (3, 5), which contains all values of x that satisfy the inequality |x - 4| < 1.

The greatest lower bound (GLB), also known as the infimum, is a concept in mathematics that applies to sets of numbers or other mathematical objects that are partially ordered.

To find the GLB (greatest lower bound) of this interval, we need to look for the greatest value that is less than or equal to every element in the interval.

Since the interval contains all real numbers greater than 3 and less than 5, its GLB is 3. Therefore, the answer is option (d) 3.

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In this scenario, multiple interactions are occurring within a very short period, each with unique dynamics and ramifications for the individuals involved.

The interactions are as follows: John's uncle called his mother to inform her of an outbreak of brucellosis at his farm, which John may have contracted while helping with a difficult labor case of a sow experiencing dystocia. His mother then contacts the hospital's doctor with this information, requesting that they screen John for brucellosis using a quick screening test called the standard tube agglutination (STA) test.

After the doctor receives the request, additional precautions are taken to prevent the spread of Brucella spp. to the lab staff. The STA test is run on John's previously collected and banked serum and CSF samples. Based on the additional history and clinical presentation, a probable diagnosis of brucellosis is made, and John begins treatment with a combination of three antibiotics that are effective against Brucella spp.

The dynamics of these interactions are centered on the shared concern for John's health and safety, and the potential for Brucella spp. to infect other hospital staff, diagnostic lab personnel, and even family members who came into contact with him.

The ramifications for the participants are numerous, from the need for additional laboratory safety precautions to the psychological effects of being diagnosed with a rare disease. Additionally, John's family will need to be informed of the diagnosis and potential risks, and his uncle's farm may face financial losses and reputational damage due to the outbreak of brucellosis.

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Complete Question:  

John has been in the hospital for three days. He is stable but not showing any significant improvement. John’s mom receives a call from her brother, who has a farm a little over 200 miles from them, where he raises pasture-reared pigs. He tells his sister that brucellosis has been diagnosed at his farm, and brucellosis can infect people. He reminds her that over the Thanksgiving holidays when they visited that John helped to pull some stillborn piglets from the birth canal of a sow experiencing a difficult labor (dystocia). Could John have brucellosis? She thanks her brother and immediately goes to find someone to give them this information.

The doctors request that the standard tube agglutination (STA) test for Brucella spp. is run on John’s previously collected and banked serum and CSF samples. The STA is a quick screening test. Currently, there is no growth on any culture plates streaked with CSF from John, but Brucella spp. are slow-growers and it is too early to expect any growth.

The request also alerts the diagnostic laboratory that samples from John may be infected with Brucella spp. and additional precautions should be observed to prevent laboratory personnel from inadvertently becoming infected.

Based on the additional history and clinical presentation, a probably diagnosis of brucellosis is made, and John begins treatment with a combination of three antibiotics demonstrated to be efficacious against Brucella spp.

:: we don't know the antibiotic. most probably common ones

Multiple interactions are occurring in a very short time frame. Discuss the dynamics of these interactions and the ramifications for the participants.

Answer:

Step-by-step explanation:

Given the price of 5 units for $5.75

The unit rate is:

Correct choice is C

No, reflecting triangle RST across the y-axis will not necessarily result in congruent corresponding sides of the two triangles.

What is triangle?

A triangle is a three-sided polygon with three angles. It is a fundamental geometric shape and is often used in geometry and trigonometry.

Reflection across the y-axis involves changing the sign of the x-coordinates of each point in the original triangle. This means that the shape of the triangle will be mirrored across the y-axis, but the lengths of the sides may not remain the same.

To determine if the corresponding sides of the two triangles will be congruent after reflection, you would need to know the specific coordinates of the vertices of triangle RST and perform the necessary calculations.

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Answer:

C) The sum of the measures of the interior angles of a triangle is 180°.

Step-by-step explanation:

I got it correct on edge

The fact to prove ΔABC and ΔTRS are similar is The sum of the measures of the interior angles of a triangle is 180, option third is correct.

It is defined as the law to prove that the two triangles have the same shape, but it is not compulsory to have the same size. The ratio of the corresponding sides is in the same proportions and the corresponding angles are congruent.

The question is incomplete.

The complete question is in the picture, please refer to the attached picture.

We have two triangles shown in the picture.

Angle B = 46 degrees

Angle C = 45 degrees

Angle A = 180 - 45 - 46 = 89 degrees

Angle R = 46 degrees

Angle S = 180 - 46 - 89 = 45 degrees

Angle T = 89 degrees

Thus, the fact to prove ΔABC and ΔTRS are similar is The sum of the measures of the interior angles of a triangle is 180, option third is correct.

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Answer:

Domain

Step-by-step explanation:

Answer: the x values

Step-by-step explanation:

Answer:

Its the second one

Step-by-step explanation

the reason why is because

<= less than- so it goes to the left and since its not less than or equal to its an open circle instead of a closed circle.

The expected number of matchings goes to infinity as N › [infinity].

Matching in Graph Theory:A matching in Graph Theory is a set of edges of a graph where no two edges share a common vertex. In other words, a matching is a set of independent edges of a graph. A perfect matching in a Graph Theory is a matching of size equal to half the number of vertices in a graph.The expected number of matchings goes to 0 as N › [infinity]:The expected number of matchings goes to zero as N › [infinity] when |E| = 3/N. It is because 3/N is a relatively dense number of edges that are independent of the number of vertices that can exist between A and B. The expected number of matchings is thus very small in comparison to the total number of matchings possible as N › [infinity].The expected number of matchings goes to infinity as N › [infinity]:The expected number of matchings goes to infinity as N › [infinity] when |E| = 4.V. It is because 4.V is a relatively large number of edges that are independent of the number of vertices that can exist between A and B. The expected number of matchings is thus very large in comparison to the total number of matchings possible as N › [infinity]. Hence the expected number of matchings goes to infinity as N › [infinity].

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The box requires a minimum of 4032 square inches of material.

Let's assume that the square base of the box has side length 'x', and the height of the box is 'h'. Then the volume of the box is

V = x^2 × h = 6912

We need to find the dimensions of the box that require the least amount of material. This means we need to minimize the surface area of the box. The surface area of the box is given by

S = x^2 + 4xh

We can solve for 'h' in terms of 'x' using the volume equation

h = 6912 / x^2

Substituting this expression for 'h' into the surface area equation, we get

S = x^2 + 4x(6912/x^2)

Simplifying and taking the derivative of 'S' with respect to 'x', we get

dS/dx = 2x - 27744/x^3

Setting this derivative equal to zero to find the critical points

2x - 27744/x^3 = 0

Multiplying both sides by x^3 and solving for 'x', we get

x = (27744/2)^(1/4) = 18

To confirm that this is a minimum, we need to check the second derivative of 'S' with respect to 'x'

d^2S/dx^2 = 2 + 83208/x^4

At x = 18, we have

d^2S/dx^2 = 2 + 83208/18^4 > 0

Therefore, the critical point at x = 18 corresponds to a minimum surface area.

So the dimensions of the box with the least amount of material are

The side length of the base is 18 inches, and

The height of the box is h = 6912 / 18^2 = 32 inches.

The minimum amount of material required is the surface area of the box, which is

S = 18^2 + 4(18)(32) = 1728 + 2304 = 4032 in^2.

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Answer:

I believe it is b. the lines are parallel. but its hard to tell without a graph