Two numbers that multiple to be 40 that add to be -14

Function Value of c f(x)= sinx/ e^x, c=0  the function value of f'(c) at c = 0 is f'(0) = 1.

To find the derivative of the function f(x) = sin(x) / e^x, we can use the quotient rule. The quotient rule states that if we have a function of the form f(x) = g(x) / h(x), then the derivative f'(x) is given by:

f'(x) = (g'(x) * h(x) - g(x) * h'(x)) / (h(x))^2

For our function f(x) = sin(x) / e^x, we have g(x) = sin(x) and h(x) = e^x. Differentiating g(x) and h(x) gives us:

g'(x) = cos(x)

h'(x) = e^x

Now we can substitute these values into the quotient rule formula:

f'(x) = (cos(x) * e^x - sin(x) * e^x) / (e^x)^2

      = (cos(x) - sin(x)) / e^x

Therefore, the derivative of f(x) is f'(x) = (cos(x) - sin(x)) / e^x.

To find the function value of c, f'(c), where c = 0, we substitute c into the derivative:

f'(0) = (cos(0) - sin(0)) / e^0

     = (1 - 0) / 1

     = 1

Therefore, the function value of f'(c) at c = 0 is f'(0) = 1.

To know more about Function refer here:

https://brainly.com/question/30721594#

#SPJ11

There is a 16% probability that the individual actually had the disease given a positive test result.

The probability that the individual had the disease can be calculated as follows:

Let A = Event of testing positive and actually having the disease

Let B = Event of testing positive but not actually having the disease

We are looking for P(A|B), which is the probability of actually having the disease given a positive test result.

Using Bayes' Theorem, we have:

P(A|B) = P(A) * P(B|A) / P(B)

Bayes' theorem is a mathematical formula used in probability theory to calculate the probability of an event based on prior knowledge of conditions that might be related to the event.

It states that the conditional probability of an event A given event B is equal to the product of the probability of event B and the conditional probability of event A given event B, divided by the probability of event B. The formula is represented as P(A|B) = P(B|A) * P(A) / P(B).

Where:

P(A) = 1/500 (probability of having the disease)

P(B|A) = 0.95 (probability of a correct positive result given that the individual has the disease)

P(B) = P(B|A) * P(A) + P(B|A') * P(A') (probability of a positive test result)

= 0.95 * 1/500 + 0.01 * 499/500 (probability of a false positive result given that the individual does not have the disease)

Plugging in the values, we have:

P(A|B) = (1/500) * 0.95 / [0.95 * 1/500 + 0.01 * 499/500] = 0.16 or 16%

Therefore, there is a 16% probability that the individual actually had the disease given a positive test result.

To know more about Bayes theorem refer to:

brainly.com/question/29598596

#SPJ4

Answer:

I dont know because their is no graph angel O stop looking up the answer

Step-by-step explanation:

ITs not A

Answer:

x = \(\frac{5}{2}\) , y = \(\frac{27}{4}\)

Step-by-step explanation:

Equate the first 2 parts of the ratios on both sides of the equation and solve for x.

Expressing the ratios in fractional form, then

\(\frac{x}{3}\) = \(\frac{\frac{15}{4} }{\frac{9}{2} }\) = \(\frac{15}{4}\) × \(\frac{2}{9}\) = \(\frac{5}{6}\) ( cross- multiply )

6x = 15 ( divide both sides by 6 )

x = \(\frac{15}{6}\) = \(\frac{5}{2}\)

-----------------------------------------------------------------------------------

Equate the last 2 parts of the ratios on both sides and solve for y

\(\frac{\frac{9}{2} }{y}\) = \(\frac{3}{\frac{9}{2} }\) = 3 × \(\frac{2}{9}\) = \(\frac{2}{3}\) ( cross- multiply )

2y = \(\frac{9}{2}\) × 3 = \(\frac{27}{2}\) ( divide both sides by 2 )

y = \(\frac{27}{4}\)

The following temperature are converted from degrees Celcius to degrees Fahrenheit:

1. 0 ⁰C = 32°F

2. 53 ⁰C = 127.4°F

3. 5 ⁰C = 41°F

4. 24.5 ⁰C = 76.1°F

5. 46.9 ⁰C = 116.42°F

The following temperature are converted from degrees Fahrenheit to degrees Celsius:

1. 180 ⁰F = 82.2°C

2. 315 ⁰F = 157.2°C

3. 33 ⁰F = 0.6°C

4. 154.4 ⁰F = 68°C

5. 89.9 ⁰F = 32.2°C

Temperature refers to the degree of hotness or coldness of a substance. Degrees Fahrenheit and degrees Celsius ar unit of temperature.

degrees Celcius to degrees Fahrenheit:

1. 0 ⁰C

(0°C × 9/5) + 32

= 32°F

2. 53 ⁰C

(0°C × 9/5) + 32

= (53 + 9/5) + 32

= 127.4°F

3. 5 ⁰C

(0°C × 9/5) + 32

= (5 × 9/5) + 32

= 41°F

4. 24.5 ⁰C

(0°C × 9/5) + 32

= (24.5 × 9/5) + 32

= 76.1°F

5. 46.9 ⁰C

(0°C × 9/5) + 32

= (46.9 × 9/5) + 32

= 116.42°F

degrees Fahrenheit to degrees Celsius

1. 180 ⁰F

= (180°F − 32) × 5/9

= 82.222°C

2. 315 ⁰F

= (315°F − 32) × 5/9

= 157.222°C

3. 33 ⁰F

= (33°F − 32) × 5/9

= 0.5556°C

4. 154.4 ⁰F

= (154.4°F − 32) × 5/9

= 68°C

5. 89.9 ⁰F

= (89.9°F − 32) × 5/9

= 32.167°C

Read more on temperature:

https://brainly.com/question/25677592

#SPJ1

Answer:

Step-by-step explanation:

The ratios of their perimeters and the ratios of their areas are 1) 3:1 and 9:1 and 2) 7:4 and 49:16.

Given the scale factor of two similar polygons, we need to find the ratio of their perimeters and the ratios of their areas,

To find the ratio of the perimeters of two similar polygons, we can simply write the scale factor as it is because the ratio of the perimeter is equal to the ration of the corresponding lengths.

1) So, perimeter = 3:1

The ratio of areas between two similar polygons is equal to the square of the scale factor.

Since the scale factor is 3:1, the ratio of their areas is:

(Ratio of areas) = (Scale factor)² = 9/1 = 9:1

Similarly,

2) Perimeter = 7:4

Area = 49/16

Hence the ratios of their perimeters and the ratios of their areas are 1) 3:1 and 9:1 and 2) 7:4 and 49:16.

Learn more about scale factors click;

https://brainly.com/question/29464385

#SPJ1

Answer:

\(31.98\)

Step-by-step explanation:

Given the following question:

41% of 78

In order to find the answer, we will use the formula to calculate percentages and solve.

\(\frac{p\times n}{100}\)
\(\frac{41\times78}{100} =41\times78=3198\div100=31.98\)
\(=31.98\)

41% of 78 is indeed "31.98."

Hope this helps.

Answer:

a) 1/3

b) 1/6 for a boy and 1/6 for a girl. (1/6)+(1/6) = (2/6) = 1/3

c) 1/2

Here we have a quadratic function and we want to find the value of a constant with a given restriction.

We will find that c = 8.

So we have the function:

\(f(x) = -2c + cx - x^2\)

We know that:

\(f(5)^{-1} = -1 = \frac{1}{-2c + c\cdot 5 - (5)^2}\)

Notice that the above equation means that:

\(-2c + c\cdot5 - (5)^2 = -1\)

Then we just need to solve the above equation for c:

\(-2c + 5c - (5)^2 = -1\\\\(-2 + 5)\cdot c - 25 = -1\\\\3\cdot c = -1 + 25\\\\3\cdot c = 24\\\\c = 24/3 = 8\)

So we found that the value of c is 8.

This means that the function is:

\(f(x) = -16 + 8\cdot x - x^2\)

You can see the graph below:

If you want to learn more, you can read:

https://brainly.com/question/24215686

The position of the swing changes based on how hard it is pushed. To determine which pairs of segments are congruent, let's consider the swing as a pendulum.

A pendulum swings back and forth due to the force of gravity and its initial displacement. The distance from the pivot point to the center of mass of the swing is called the radius of oscillation.

When the swing is pushed harder, it gains more energy and swings with a larger radius of oscillation. Conversely, when the swing is pushed with less force, it swings with a smaller radius of oscillation.

Since the radius of oscillation affects the swing's position, the segments that would be congruent are the segments of the swing's path at two different moments in time when the swing has the same radius of oscillation.

For example, if the swing is pushed with a moderate force, the segments of the swing's path when it reaches the highest point on each side would be congruent. Similarly, the segments when the swing is at the lowest point on each side would also be congruent.

In summary, the segments that are congruent are the segments of the swing's path at different moments in time when the swing has the same radius of oscillation.

position of the swing and segments are congruent : https://brainly.com/question/33928619

#SPJ11

The equation of the line is x = 5

The equation of a line can be represented in slope intercept form as follows:

y = mx + b

where

Therefore, let's find the slope and y-intercept

(5, 0)(5, - 2)

m = -2 - 0 / 5 - 5

m = -2 / 0

m = infinity

Hence,  It is a vertical line, since the x is the same for both of them, and it is equal to  both times.

Therefore, the equation of the line is x = 5

learn more on equation here: https://brainly.com/question/12885324

#SPJ1

The probability of no ice-squids raining down from the sky in the ten-year period is approximately 0.135.

To calculate the probability, we need to use the Poisson distribution since the occurrence of ice-squids follows a random process with an average rate. The average rate of ice-squids raining down from the sky is 1 per 2 years.

The Poisson distribution is given by the formula:

P(x; λ) = (e^(-λ) * λ^x) / x!

Where P(x; λ) is the probability of x events occurring in a given time period with an average rate of λ.

In this case, we want to calculate the probability of no ice-squids raining down in a ten-year period. We can convert the average rate from years to the ten-year period by multiplying it by 10. So, λ = 1/2 * 10 = 5.

Substituting λ = 5 and x = 0 into the Poisson distribution formula, we get:

P(0; 5) = (e^(-5) * 5^0) / 0!

Since 0! is equal to 1, the formula simplifies to:

P(0; 5) = e^(-5) ≈ 0.00674.

Therefore, the probability of no ice-squids raining down in the ten-year period is approximately 0.00674 or 0.135 when expressed as a percentage.

In other words, there is a 13.5% chance that no ice-squids will rain down from the sky in the ten-year period starting in 2024 in the alternate universe of San Diego.

Learn more about  probability here:

brainly.com/question/31828911

#SPJ11

D

Step-by-step explanation:

he took 32 out then put it right back in

Answer:

D

Step-by-step explanation:

when you add 32 you get 224 but then when you add 32 you get 256 back.

Answer:

3! = 6

Step-by-step explanation:

An exclamation point after a number is the way to denote a factorial. A factorial is multiplying all the numbers up to the number given.

In this scenario, it would be this:

\(3! = 3 * 2 * 1\)

To solve, simplify:

\(3! = 6\)

So, 3 factorial is 6.

Answer: 7000

Note: 5 and up rounds up. 4 and below rounds down.

4 < 5 so that means we won't need to round up we round down.

7412 = 7000

If we were to round up then the answer would of been 7500.

24 is the answer! Its all about isolation, i tried to show it a little better in the image attached. Hope this helps!!

The equation for the line of best fit is given by:

y = mx + b

In which m is the slope

They are given by:

Sum of x:

Sum of all values of x.

Sum of y:

Sum of squares of x:

Sum of xy:

Slope:

14 students, so n = 14.

Then

The line of best fit is y = 0.38x + 2.36. This means that for a parents that smokes x cigarettes a day, the child is expect to miss 0.38x + 2.36 days of school during the quarter.

Graphic

There are 252 different seating arrangements for the 10 people at the rehearsal dinner.

To determine the number of different seating arrangements for the 10 people at the rehearsal dinner, we can use the concept of combinations.

First, let's consider the two tables as Table A and Table B. We need to assign 5 people to each table.

To calculate the number of seating arrangements, we can use the combination formula. The formula for combinations is nCr = n! / (r!(n-r)!), where n is the total number of people and r is the number of people at each table.

In this case, we have 10 people in total, and we want to assign 5 people to each table.

So, the calculation would be:

10C5 = 10! / (5!(10-5)!)

Simplifying this expression:

10C5 = (10 × 9 × 8 × 7 × 6 × 5!) / (5! × (5 × 4 × 3 × 2 × 1))

The factorials in the numerator and denominator cancel out:

10C5 = (10 × 9 × 8 × 7 × 6) / (5 × 4 × 3 × 2 × 1)

Calculating this expression:

10C5 = 30,240 / 120

10C5 = 252

To learn more about the combination;

https://brainly.com/question/29594894

#SPJ12

The alumni giving rates would represent a nominal variable, as it is a categorical variable representing donors and non-donors.

An appropriate graph to depict these data would be a bar graph. The bar graph would show the number of alumni who donated (the numerator) and the number of alumni who did not donate (the denominator) in a given year. The formula for this calculation would be,

Alumni Giving Rate = (Number of Alumni Donors / Total Number of Alumni) x 100

For example, if 10 alumni donors out of 100 total alumni donated, the alumni giving rate would be 10%. The graph would show the percentage of alumni that donated in a given year.given year. The formula for this calculation would be,

Alumni Giving Rate = (Number of Alumni Donors / Total Number of Alumni) x 100

For example, if 10 alumni donors out of 100 total alumni donated, the alumni giving rate would be 10%. The graph would show the percentage

Learn more about percentage here:

https://brainly.com/question/12948737

#SPJ4

The product is ( 2) option (B)

( 0)

A scalar is a physical quantity that is completely defined by its magnitude. Dot Product: A dot product is the product of two vectors by taking the component of the second vector in the direction of the first vector. In the above diagram, there are two vectors A → and B → .

The scalar product is obtained by multiplying 2 by other value

2 × -1 = -2

2 × 0 = 0

therefore the scalar product is {2}

{0}

learn more about scalar product from

https://brainly.com/question/26550859

#SPJ1

The right Riemann sum for arctan(1 + xdx) is Σ[arctan(1 + iΔx)]Δx, where i ranges from 1 to n and Δx is the width of each subinterval. The correct answer among the options provided is (arctan(1 + Δx) + arctan(1 + 2Δx) + ... + arctan(1 + nΔx))Δx.

In a right Riemann sum, the function is evaluated at the right endpoint of each subinterval. Therefore, we add up the values of arctan(1 + iΔx) at the endpoints of the subintervals, where i ranges from 1 to n. The width of each subinterval is Δx, so we multiply the sum by Δx to get the approximate value of the integral.

The provided expression (arctan(1 + Δx) + arctan(1 + 2Δx) + ... + arctan(1 + nΔx))Δx satisfies the conditions of a right Riemann sum, where the function is evaluated at the right endpoint of each subinterval. Therefore, this is the correct option among the given choices.

Learn more about Riemann sum here

https://brainly.com/question/14418174

#SPJ11

Answer:

4u - 24

Step-by-step explanation:

(u-6)*4

Distribute

4*u - 4*6

4u - 24

They are used in navigation, astronomy, and surveying. Rays are also used in computer graphics, physics, and optics. In addition, rays are used in the study of optics to describe the behavior of light as it travels through different mediums.

According to the video above, the geometric object called a ray has the characteristics that it has one endpoint and extends in away from that endpoint without end.A ray is a line that starts at a single point and extends in one direction to infinity. Rays are commonly used in geometry to explain lines and line segments. A ray has one endpoint, called the endpoint of the ray, from which it starts. The other end of the ray continues in the direction in which it is pointed without any limit. A ray is named by using its endpoint and another point on the ray, with the endpoint first. For example, if ray A starts at point P and passes through point Q, we write the name of the ray as ray PAQ or ray QAP. Rays can be part of line segments and other geometric objects. They can also be used to explain angles and the direction of a light source. Rays are commonly used in mathematics, science, and engineering.

for more seach question surveying

https://brainly.com/question/17365081

#SPJ8

Answer:

Step-by-step explanation:

sector area = angle/360 * pi * r^2

14.14 = angle/360 * 22/7 * 6^2

14.14 = angle/360 * 22/7 * 36

(360 * 14.14 * 7)/(22 * 36) = angle

angle = 44.99 = 45 degrees

Given:

Step by step solution:

We need to comment on the number of solutions of the equation:

From here we can say that y will have only one solution, which is equal to y = 15.

Answer:

Step-by-step explanation:

Given the function  h(x) = (x – 1)³ + 10 so that h(x) = (g°f)(x). If f(x) = x + a and g(x) = x³ + b, then;

g(f(X)) = g(x+a).

To get g(x+a), we will have to replace the variable x with x+a in g(x) as shown;

g(x+a) =  (x+a)³ + b

g(f(x)) =  (x+a)³ + b

Since h(x)= g(f(x)) = (x – 1)³ + 10

g(f(x)) = (x+a)³ + b = (x – 1)³ + 10

Hence  (x+a)³ + b = (x – 1)³ + 10

On comparing the coefficients to get the value of a and b;

(x+a)³  = (x-1)³

Take the cube root of both sides

∛(x+a)³  = ∛(x-1)³

x+a = x-1

x+a-x = -1

a = -1

Also on comparing, b = 10

Hence the values of a and b would make the composition true are -1 and 10 respectively.

Answer:

a: -1

b: 10

edge 2020

The method that will be used in solving the equation 5x + x = 3/4 is the combination of the addition property of equality and the multiplication property of equality.

The addition property of equality states that if we add the same value to both sides of an equation, the equation remains balanced. In this case, we want to combine the terms with x on the left side.

To solve the equation 5x + x = 3/4, we can simplify it by combining the x terms:

5x + x = 6x

Now the equation becomes:

6x = 3/4

To solve for x, we can use the multiplication property of equality. The multiplication property of equality states that if we multiply both sides of an equation by the same non-zero value, the equation remains balanced.

To isolate x, we need to divide both sides of the equation by 6:

(6x)/6 = (3/4)/6

Simplifying gives us:

x = (3/4) * (1/6)

x = 3/24

Further simplification yields:

x = 1/8

Therefore, the solution to the equation 5x + x = 3/4 is x = 1/8.

Therefore, the method used to solve the equation is the combination of the addition property of equality (to combine the x terms) and the multiplication property of equality (to isolate x by dividing both sides by 6).

To learn more about equation  Click Here: brainly.com/question/29657983

#SPJ11