What is the effect on the graph of the function f(x) = 2x when f(x) is replaced with f(x − 3)?

Answer:

√104

Step-by-step explanation:

missing side = \(\sqrt{15^2-11^2} = \sqrt{225-121} = \sqrt{104}\)

True. A confidence interval provides a range of values within which the population parameter of interest is estimated to lie, with a certain level of confidence.

A confidence interval is a statistical concept used to estimate an unknown population parameter, such as a mean or proportion, based on sample data. It provides a range of values within which the population parameter is believed to lie, along with a certain level of confidence.

It is used to quantify the uncertainty associated with estimating population parameters based on sample data. The confidence level represents the probability that the interval will contain the true population parameter.

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Answer:

475 children

Step-by-step explanation:

A restaurant has many vistors over the weekend.4/9 of the visitors are adults. If there were 380 adults, how many visitors were children? Answer

Step 1

We find the total number of visitors the restaurant had over the weekend. This is calculated as:

Let the total number of visitors = x

4/9 × Total number of visitors = 380 Adults

4/9 × x = 380

4x/9 = 380

Cross Multiply

4x = 9 × 380

x = 9 × 380/4

x = 855 visitors.

Step 2

The number of visitors that were children is calculated as:

Total number of visitors - Number of Adults

= 855 visitors - 380 Adults

= 475 children

Answer:

44 square inches.

Step-by-step explanation:

radius of the base = 5.5 inches

height of the cylinder = 4 inches

The shape of the vertical cross section of the cylinder through the center of the base would give a rectangle with length of 2r, and its width is the height of the cylinder.

Area of the vertical cross section = height x diameter

diameter of the cylinder = 2r

                                        = 2 x 5.5

                                        = 11 inches

The diameter of the cylinder is 11 inches.

Area of the vertical cross section = 4 x 11

                                        = 44 square inches.

The area of a vertical cross section of the cylinder through the center of the base is 44 square inches.

Answer:

75

Step-by-step explanation:

We know that EA is a straight line(180) therefore

ang(ECD) = 180 - 115 = 65

The the sum of angles in a triangle is 180 as well therefore:

ang(DEC) = 180 - ang(EDC) - ang(ECD) = 180 - 40 - 65 = 75

The total money Dana spent in all is $24.75

Ratio are written as fractions of two integers. For instance a/b.

Amount spent for grandmother = $13.75

Amount spent on grand father = 4/5 * 13.75

Amount spent on grand father = $11

Take the sum

Total money spent = $13.75 + $11

Total money spent = $24.75

Hence the total money Dana spent in all is $24.75

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All the Individuals solutions are solved below:

a) To verify that y = e^m_1x - e^m_2 x/m_1 - m_2 is a solution of the differential equation y" - (m_1 + m_2)y' + m_1 m_2y = 0, we can substitute y into the equation and simplify:

y" = m_1^2e^m_1x - m_2^2e^m_2x

y' = m_1e^m_1x - m_2e^m_2x

so:

y" - (m_1 + m_2)y' + m_1 m_2y = m_1^2e^m_1x - m_2^2e^m_2x - (m_1 + m_2)(m_1e^m_1x - m_2e^m_2x) + m_1 m_2(e^m_1x - e^m_2x/m_1 - m_2) = 0

b) To find the limit of the solution in part (a) as m_1 right arrow m_2, we can use I'Hospital's rule. The limit is:

lim (m_1 -> m_2) e^m_1x - e^m_2 x/m_1 - m_2 = e^m_2x - e^m_2 x/m_2 - m_2 = e^m_2x - e^m_2x - m_2 = -m_2

c) To verify that the limit in part (b) satisfies the differential equation obtained from the equation in part (a) by replacing mi by m_2, we can substitute -m_2 into the equation:

y" - (m_2 + m_2)y' + m_2 m_2y = 0

y" - 2m_2y' + m_2^2y = 0

which is the differential equation of a constant function, and -m_2 is a constant function. Therefore, the limit in part (b) satisfies the differential equation.

It should be noted that the solution y = e^m_1x - e^m_2 x/m_1 - m_2 is a linearly independent solution of the differential equation y" - (m_1 + m_2)y' + m_1 m_2y = 0, and it can be used in combination with the general solution y = c_1e^m_1x + c_2e^m_2x to find the general solution of the differential equation.

Therefore, All the Individuals' solutions are solved.

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Answer:

c

Step-by-step explanation:

The algebric expression for centripetal acceleration (ac) of an object in terms of its speed (v) and radius (r) is:
ac = v^2 / r

Centripetal acceleration is defined as the property of the motion of an object traversing a circular path. Any object that is moving in a circle and has an acceleration vector pointed towards the centre of that circle is known as Centripetal acceleration. Centripetal Acceleration can be measured in meters per second as it is the number of meters per second by which your velocity changes every second. When an object is moving in a circular motion it can be measured by using the following equation - ac = v^2 / r.

Therefore the final answer is ac = v^2 / r.

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Answer:

Answer

4.9/5

345

author link

audreyburkett12

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Assuming the time changes at a constant rate, the equation for this is linear (so has the equation y=mx +c)

8am = -2

9am = -0.5

10am = 1.0

11am = 2.5

12pm = 4

m = change in each value or the slope , for this it is m=1.5

c = the y intercept, we find this by: when x=8 y must = 1.5 , which it isn't , y has to = -2 . So c = -3.5

The equation then is: y= 1.5*x - 3.5

The gradient/slope/m value is 1.5. The answer is 1.5

The answer to this problem using algebraic substitution is 5ln|x+2| - 4√(x+5) + C.

When solving for the integration, substitute u and then integrate. This can be done by substituting u as follows:

u = x + 4

which implies dx = du

Now we have u in terms of x and dx is in terms of du.

∫(u-4)/[(u-2)√(u+1)] du

Next, use partial fraction decomposition to split the fraction into easier-to-manage fractions.

(u-4)/[(u-2)√(u+1)] can be split as A/(u-2) + B/√(u+1)

To find the values of A and B, multiply both sides by the denominator and solve for A and B. Therefore, we have:

u - 4 = A√(u+1) + B(u-2)

If u = 2, we get -4 = 2B, which means B = -2. If u = -1, we get -5 = -A, which means A = 5.

Therefore, the integral can now be written as:

∫(5/(u-2)) du - ∫(2/√(u+1)) du

Use substitution to evaluate the integrals:

∫(5/(u-2)) du = 5ln|u-2| + C

∫(2/√(u+1)) du = 4√(u+1) + C

Substitute back the value of u:

5ln|x+2| - 4√(x+5) + C

The answer to this problem using algebraic substitution is 5ln|x+2| - 4√(x+5) + C.

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There are a total of $15^5 = 759,375$ distinct possibilities for the values in the diagonal going from top left to the bottom right of a BINGO card, in order.

To find the number of distinct possibilities for the values in the diagonal going from top left to the bottom right of a BINGO card, we need to consider the range of numbers that can be placed in the diagonal.

In the given BINGO card, the diagonal starts with the number 5 in the top left corner and ends with the number 71 in the bottom right corner. We can see that the numbers in the diagonal follow a pattern:

5, 17, 32, 49, 71

We can analyze this pattern to find the number of distinct possibilities.

- The first number, 5, can be any number from the set $1-15$.
- The second number, 17, can be any number from the set $16-30$.
- The third number, 32, can be any number from the set $31-45$.
- The fourth number, 49, can be any number from the set $46-60$.
- The fifth number, 71, can be any number from the set $61-75$.

To find the number of distinct possibilities, we multiply the number of choices for each position:

15 choices for the first number × 15 choices for the second number × 15 choices for the third number × 15 choices for the fourth number × 15 choices for the fifth number

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Answer:

7.2 feet

Step-by-step explanation:

Answer:

Akira Haraguchi.

Step-by-step explanation:

Akira Haraguchi, who in 2006 recited 100,000 digits of pi from memory at a public event near Tokyo.

The common factor in the expression 3x(x − 5) + 7(x − 5) is (x − 5). We can factor it out to get:(x − 5)(3x + 7).Here is an explanation of the steps involved.

Identify the common factor. The common factor is the term that appears in both 3x(x − 5) and 7(x − 5). In this case, the common factor is (x − 5).

Factor out the common factor. We can factor out the common factor by writing it before the parenthesis and multiplying each term inside the parenthesis by the common factor. This gives us (x − 5)(3x + 7).

To find the common factors of two or more numbers, you can follow these steps:Write the numbers in a list.

Find the factors of each number.A factor of a number is a number that divides evenly into that number.

Find the factors that are common to all of the numbers. These are the common factors.

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Answer:

37/2

Step-by-step explanation:

since its a repeating 36 would become a 37 and the 2 would become the denominator

Answer:

when the ph of a solution shifts from 3 to 7, the hydrogen ion concentration has changed, and _become more basic_.

Step-by-step explanation:

The hydrogen ion concentration has decreased.  The hydroxyl concentration has increased. The solution has become more basic.

The logarithmic form of the exponential equation 8e^x-5 = 0 is given as follows:

x = ln(5/8).

The exponential function in this problem is defined as follows:

8e^x-5 = 0.

The equation can be sorted isolating the exponential as follows:

8e^x = 5.

e^x = 5/8.

The natural logarithm(symbolized by the ln) is the opposite of the exponential function, hence the logarithmic form of the equation is presented as follows:

ln(e^x) = ln(5/8).

As stated above, the natural logarithm and the exponential functions are inverse functions, meaning that:

ln(e^x) = x.

Thus the logarithmic form of the exponential equation 8e^x-5 = 0 is given as follows:

x = ln(5/8).

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Answer:

132

Step-by-step explanation:2 x 2 x 3 x 11

Eval is a function that evaluates an expression and puts the resulting value into a new or existing field.

To calculate the value of an expression using Eval, you must use the correct syntax. The syntax for Eval is Eval(expression, optional_parameter). The expression can take the form of a mathematical equation or a logical expression. For example, if you wanted to calculate the sum of two numbers, you would use the following expression: Eval(A + B). The optional parameter allows you to specify a range of values to evaluate the expression against.

For example, if you wanted to calculate the sum of two numbers within a given range, you would use the following expression: Eval(A + B, range). The range parameter can be used to specify the starting and ending values that the expression should be evaluated against.

Using Eval to calculate an expression is a useful tool for quickly getting the desired value. It is also useful for quickly testing the accuracy of a complex expression before implementing it in your code.

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Answer:

D - No solution

*brainliest is much appreciated lol*

Step-by-step explanation:

The equations are:

2/3x + y = 6

-2/3x - y = 2

Using elimination, you can cancel out the 2/3's and y's in both equations, which will leave you with "6 = 2". This statement is incorrect, so the answer is no solution.

hope this helps

The solution to the system of equations is: no solution.

The solution of a system of equations is the corresponding values of x and y that makes both equations equivalent.

Given:

2/3x + y = 6

-2/3x - y = 2

If both equations are added to eliminate variable x, the resultant equation we will have is:

6 = 2 (this is not true).

This implies no solution.

Therefore, the solution to the system of equations is: no solution.

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Answer:

1. x = 10 , y = 2

Step-by-step explanation:

hope it helps ☺️

Answer:

$ 7800

Step-by-step explanation:

P'(t) = 3t² + 10t + 6

\(P(t) = \int\limits^a_b {P'(t)} \, dt\)

For the 4th year, the limits are [3,4]

\(P(t) = \int\limits^4_3 {3t^2 + 10t + 6} \, dt\\\\= [\frac{3t^3}{3} + \frac{10t^2}{2} + 6t]^{^4}__{3}\\\\\)

\(=[\frac{3(4)^3}{3} + \frac{10(4)^2}{2} + 6(4)]-[\frac{3(3)^3}{3} + \frac{10(3)^2}{2} + 6(3)]\\\\=[\frac{3(64)}{3} + \frac{10(16)}{2} + 24]-[\frac{3(27)}{3} + \frac{10(9)}{2} + 18]\\\\= [64 + 5(16) + 24]-[27+5(9) + 18]\\\\= 168-90\\\\= 78\)

= $ 7800

The correct answer is option a). The parameter of interest is the mean mpg of the 10 cars.

This parameter is important because it is the average mpg of the sample that is being used to measure the fuel efficiency of the car model. This parameter is important because it provides an indication of how efficient the car model is. By measuring the mpg of a sample of 10 cars, the researchers can get an indication of how the entire population of cars of this particular model perform.

The mean mpg of all cars of this particular model is the population parameter and is the overall average mpg of all cars of this particular model. The mpg measurements of this car model is the individual measurements for each car in the sample, which are used to calculate the mean mpg of the 10 cars.

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The scalar product of two parallel unit vectors, is equals to one i.e., i.e., = 1 , = 1 and = 1 .

Scalar Product: The scalar product is also known as dot product. The scalar product of two vectors can be constructed by taking the component of one vector in the direction of the other vector and multiplying it by magnitude of other vector. That gives scalar as a result. Scalar don't have a direction associated with them. The scalar product of vector A and vector B is equal to |A| |B|Cosθ , where |A|, |B| represent magnitude of vector A and vector B and θ angle between the two vectors direction.

We have to determine the scalar product of , and Here and are the unit vectors in the direction along the x-axis. So, they are parallel to each other, that's why θ = 0° and = 1 . Therefore, = (1) (1) cos 0° = 1. Similarly, = 1 ( unit vectors in direction along the y-axis) and = 1 ( along z-axis). Hence, the dot product of the two unit vectors and is equal to one for each

Answer:

10.54263764

Step-by-step explanation:

\(3300=2000e^{.0475t}\\\\1.65=e^{.0475t}\\\ln(1.65)=.0475t\\.500775288=.0475t\\t=10.54263764\)

Answer:

It will take about 10.5 years for the investment to reach $3,300.

Step-by-step explanation:

Continuous compound is given by:

\(\displaystyle A=Pe^{rt}\)

Where P is the principal, e is Euler's number, r is the rate, and t is the time (in this case in years).

Since our principal is $2,000 at a rate of 4.75% or 0.0475, our equation is:

\(\displaystyle A=2000e^{0.0475t}\)

We want to find the number of years it will take for our investment to reach $3,300. So, substitute 3300 for A and solve for t:

\(3300=2000e^{0.0475t}\)

Divide both sides by 2000:

\(\displaystyle e^{0.0475t}=\frac{33}{20}\)

We can take the natural log of both sides:

\(\displaystyle 0.0475t=\ln\left(\frac{33}{20}\right)\)

Therefore:

\(\displaystyle t=\frac{1}{0.0475}\ln\left(\frac{33}{20}\right)\approx 10.54\text{ years}\)

It will take about 10.5 years for the investment to reach $3,300.

The probability that it rains and I wear boots is 0.12.

To solve this problem, we will use the concept of conditional probability, which deals with the probability of an event occurring given that another event has already occurred.

First, let's assign some variables:

P(Boots) represents the probability of wearing boots.

P(Rain) represents the probability of rain.

According to the information provided, we have the following probabilities:

P(Boots | Rain) = 0.60 (the probability of wearing boots given that it's raining)

P(Rain) = 0.20 (the probability of rain)

P(Boots) = 0.09 (the probability of wearing boots)

To find the probability of both raining and wearing boots, we can use the formula for conditional probability:

P(Boots and Rain) = P(Boots | Rain) * P(Rain)

Substituting the given values, we get:

P(Boots and Rain) = 0.60 * 0.20 = 0.12

Therefore, the probability of both raining and wearing boots is 0.12 or 12%.

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