Evaluate the piecewise defined function at the
f(x)={x^2 if x<0
x+7​ if x≥0​

f(−3)=
f(−2)=
f(0)=
f(2)=
f(3)=

Answer:

Conclusion : it lives in the water

Step-by-step explanation:

Concept :The conclusion of a conditional statement is the result of the hypothesis. The “then” part of an if-then statement is called the conclusion.

therefore, for the given statement,

the 'then' part is 'it lives in the water'

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The number of games that will be played in the first round will be 14 games.

It should be noted that the appropriate function to use in this scenario will be:

= (n - 1) × 2

where n = total number of people participating.

Therefore, this will be:

= (n - 1) × 2

= (8 - 1) × 2

= 7 × 2

= 14

Therefore, the number of games that will be played in the first round will be 14 games.

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Answer:

x ≥ 5

Step-by-step explanation:

Let's represent the number of action figures in a complete set by the variable "x".

Carlos has 5 complete sets plus 4 individual figures, which is a total of:

5x + 4

Josh has 3 complete sets plus 14 individual figures, which is a total of:

3x + 14

The problem states that Carlos has at least as many action figures as Josh, so we can set up the inequality:

5x + 4 ≥ 3x + 14

Simplifying this inequality, we can subtract 3x from both sides:

2x + 4 ≥ 14

Then, we can subtract 4 from both sides:

2x ≥ 10

Finally, we divide both sides by 2:

x ≥ 5

Therefore, the inequality that represents how many action figures can be in a complete set is:

x ≥ 5

The surface area is changing at a rate of  540 cm²/second

Let 'a' be the length of each edge of a cube.

A cube has a total of 12 edges with equal length.

Rate of change of the expansion of the edge, da/dt = 5 cm/second

Area of one face of a cube = a²

A cube has 6 faces. So,

The surface area of a cube, S = 6a²

Rate of change of surface area,

dS/dt = 6 x 2a x (da/dt)

⇒ dS/dt = 12a x 5

When a = 9 cm,

the rate of change of surface area of the cube = 60 x 9

                                                                              = 540 cm²/second

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Answer:

Your answer is B. I had some help from my mom.

Step-by-step explanation:

the average rate of change on the interval [1, 2] is found by computing

 (f(2) - f(1))/(2 - 1)

 = ((4^1+2) - (4^0+2)/1

 = (6-3)

 = 3

Based on the given informations, the change in y as t changes from 1 to 6 is approximately 3.870. Therefore the correct option is (A).

To find the change in y as t changes from 1 to 6, we need to integrate the given function with respect to t over the interval [1, 6] and then find the difference between the values of the integral at the two endpoints.

∫₁⁶ 6e\(.^{(-0.08(t-5)^2)}\)  dt

We can use the substitution u = t - 5 to simplify the integral:

∫₋₄¹ 6e\(.^{(-0.08u^2)}\)  du

Unfortunately, there is no closed-form solution for this integral. We can use numerical integration methods, such as Simpson's rule or the trapezoidal rule, to approximate the integral. Using Simpson's rule with a step size of 1, we get:

∫₋₄¹ 6e\(.^{(-0.08u^2)}\) du ≈ 3.870

Therefore, the change in y as t changes from 1 to 6 is approximately 3.870, which corresponds to option (A).

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The probability that exactly one tank in the sample contains high-viscosity material is P(A)=0.461.

We will use two concepts in solving this problem.

The probability of an event (A) is for definition:

P(A) = Number of favorable events/ Total number of events FE/TE

If A and B are complementary events ( the sum of them is equal to 1) then:

P(A) = 1 - P(B)

a) The total number of events is:

C ( 24,4) = 24! / 4! ( 24 - 4 )!    ⇒  C ( 24,4) = 24! / 4! * 20!

C ( 24,4) = 24*23*22*21*20! / 4! * 20!  

( 24,4) = 24*23*22*21/4*3*2

C ( 24,4) = 24*23*22*21/4*3*2    ⇒  C ( 24,4) =  10626

TE = 10626

Splitting the group of tanks in two 6 with h-v  and 24-6 (18) without h-v

we get that the total number of favorable events is the product of:

FE = 6* C ( 18, 3)  = 6 * 18! / 3!*15!  =  18*17*16*15!/15!

FE =  4896

Then P(A) ( 1 tank in the sample contains h-v material is:

P(A) = 4896/10626

P(A) = 0.4607

b) P(B) will be the probability of at least 1 tank containing h-v

P(B) = 1 - P ( no one tank with h-v)

Again Total number of events is 10626

The total number of favorable events for the occurrence of P is C (18,4)

FE = C (18,4) = 18! / 14!*4! = 18*17*16*15*14!/14!*4!

FE = 18*17*16*15/4*3*2

FE = 3060

Then P = 3060/10626

P = 0.2879

And the probability we are looking for is

P(B) = 1 - 0.2879

P(B) = 0.7120

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The likelihood that a researcher will obtain the same result using the same measures the next time he or she tests a hypothesis is Reliability.

In statistics and psychometrics, reliability is the overall consistency of measurements. Measurements are more reliable when similar results are obtained under the same conditions. Reliable results are accurate, reproducible, and consistent from test event to test event. In other words, if the testing process were repeated on a group of test takers, they would yield essentially the same results. Various types of confidence factors with values ​​ranging from 0.00 (large error) to 1.00 (no error) are commonly used to indicate the amount of error in the assessment.

Examples: include measurements of a person's height and weight. Very reliable in many cases. There are several general classes of reliability estimates: 71.

Retest reliability measures the consistency of test results from one test to the next. Measurements are collected by a single rater using the same method or equipment and the same test conditions. This includes intra-rater reliability.

Inter-method reliability measures how consistent test results are when there is variation in the method or instrumentation used. This means that inter-rater reliability can be ruled out.

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Hi there!  

»»————-　★　————-««

I believe your answer is:  

"They will meet at a point."

»»————-　★　————-««  

Here’s why:  

»»————-　★　————-««  

Hope this helps you. I apologize if it’s incorrect.  

A standard normal distribution table, or a calculator with a built-in CDF function for the standard normal distribution to calculate this probability.

To calculate the probability of an event occurring between two independent normally distributed variables, we can use the standard normal distribution and the properties of linear combinations of normal variables.

Suppose we have two independent random variables X and Y that are normally distributed with means μX and μY, and standard deviations σX and σY, respectively. Let Z be a linear combination of X and Y given by Z = aX + bY, where a and b are constants.

Then, Z is also normally distributed with mean μZ = aμX + bμY and standard deviation σZ = sqrt(a^2 * σX^2 + b^2 * σY^2).

To calculate the probability of an event occurring between two values, say a and b, for the variable Z, we first standardize Z to a standard normal variable Z* using the formula:

Z* = (Z - μZ) / σZ

Then, we can use the cumulative distribution function (CDF) of the standard normal distribution to calculate the probability of the event occurring between a and b as:

P(a < Z < b) = P[(a - μZ) / σZ < Z* < (b - μZ) / σZ]

We can use statistical software, a standard normal distribution table, or a calculator with a built-in CDF function for the standard normal distribution to calculate this probability.

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The probability of picking a card with an even number is \(\frac{3}{10}\).

To find the probability of picking a card with an even number:

Therefore, the probability of picking a card with an even number is \(\frac{3}{10}\).

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COMPLETE QUESTION:

The numbers 7, 11, 12, 13, 14, 18, 21, 23, 27, and 29 are written on separate cards, and the cards are placed on a table with the numbers facing down. The probability of picking a card with an even number is _____.

Answer:

6.2 miles per hour

1 min = 60 seconds

3 min = 180 seconds

Answer:1815 euros left

Step-by-step explanation:

Answer:

Took L for my gang   keep working hard

Step-by-step explanation:

Answer:

x=9

y=15

Step-by-step explanation:

Its a parallel gram, so the sides would be the same as the parallel side,

Answer:

\(\huge\boxed{\sf x = 9,y = 15}\)

Step-by-step explanation:

In a ║gm, Opposite sides are parallel and equal.

Hence,

x = 9

y = 15

\(\rule[225]{225}{2}\)

Hope this helped!

Scrooge McDuck would most likely keep punishing his employees when they're late; it's working.

So, the correct answer is D.

Less than Hypothesis testing is a statistical hypothesis test where the alternative hypothesis is formed as <, while the null hypothesis is formed as >=.

Therefore, when Scrooge McDuck utilized the less than hypothesis testing and found that at an alpha of .05 he rejects the null hypothesis, it means that the p-value obtained from the test was less than 0.05, and thus he had enough statistical evidence to reject the null hypothesis and accept the alternative hypothesis.

It indicates that punishing the employees harder when they are late is working and they are more likely to come to work on time. Therefore, he would most likely keep punishing his employees when they're late; it's working.

Hence, the answer is D.

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9514 1404 393

Answer:

  f(x) = (π-2)x^2/4

Step-by-step explanation:

The area of the triangle is ...

  A = 1/2(x)(x) = (1/2)x^2

The hypotenuse of the triangle is x√2, so the radius of the circle is x/√2. That means the area of the semicircle is ...

  A = 1/2πr^2 = (π/2)(x/√2)^2 = (π/4)x^2

The shaded area is the difference between the semicircle area and the triangle area.

  f(x) = (π/4)x^2 -(1/2)x^2

  f(x) = (π-2)x^2/4

Solution

Divide the figure into 2

Draw a horizontal line to cut the shape into 2 squares at the top

Area of the top 2 squares = 2 x 1 = 2 squared units

Area of the other part = 5 x 3 = 15 squared units

Area of the figure = 15 + 2 = 17 squared units

The answer is 17 squared units

Answer:

3. obtuse

4.acute

Step-by-step explanation:

The expressions can be used to calculate how many dollars he made in total during this time is (b) $53412*8*1.03

What is expression in mathematics?

Mathematical statements are called expressions if they contain at least two terms that are connected by an operator and contain either numbers, variables, or both. Addition, subtraction, multiplication, and division are all possible mathematical operations.

There are two sorts of expressions in mathematics: numerical expressions, which only contain numbers, and algebraic expressions, which also include variables.

Solution

Brayan began his career making an annual salary of $53,412

after each year he has received a raise of 3%

after 8 year he has received a raise of 8*3%

8*1.03

after 8 year how many dollars he made in total during this time is

$53412*8*1.03

So the expression shown in option b is correct

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Answer:

2x+5

Step-by-step explanation:

if you look at the x and the y coordinates, you'll see that if you multiply the 'x' coordinate by 2 and then add 5, you get the y coordinate

Answer:

A)$9.45

B)$55.70

Step-by-step explanation:

The z score associated with the highest 10% is closest to: option (c) 1.28

-To find the z score associated with the highest 10%, first determine the percentage that corresponds to the lower 90%, since the z score table typically represents the area to the left of the z score.

- Look up the 0.90 (90%) in a standard normal distribution  (z score) table, which will give you the corresponding z score.

-The z score closest to 0.90 in the table is 1.28, which corresponds to the highest 10% of values.

Therefore, the z score associated with the highest 10% is closest to 1.28.

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Answer:

The answer is C

Step-by-step explanation:

Plz mark as Brainliest

A parabola has a maximum value of 4 at x= -1, a y-intercept of 3, and an x-intercept of 1. The x-intercepts are -3 and 1. So, The second graph is the right one.

We have given that,

A parabola has a maximum value of 4 at x = -1,

A y-intercept of 3, and an x-intercept of 1.

The maximum value of a graph refers to the point on the graph where the y-coordinate has the largest value.

A maximum graph is one that represents the largest value of the y-coordinate on the graph.

So, The second graph is the right one.

Note that when x = 1, y (the maximum) is 4,

and that, The x-intercepts are -3 and 1.

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A regression line is a line of​ means, and outliers have a big effect on the regression line.

Regression:

Regression is a statistical method used in finance, investing, and other disciplines that attempts to determine the strength and character of the relationship between a dependent variable (usually denoted by Y) and a set of other variables (called variables independent). Also known as simple regression or ordinary least squares (OLS), linear regression is the most common form of this technique. Linear regression establishes a linear relationship between two variables based on a line of best fit. So the linear regression is plotted with a straight line and the slope defines how changes in one variable affect changes in the other variable.

Regression Line:

Regression lines are very useful for the forecasting process. The purpose of this line is to describe the relationship between the dependent variable (variable Y) and one or more independent variables (variable X). Using the equation obtained from the regression line, the analyst can predict the future behavior of the dependent variable by entering different values ​​for the independent variable. Regression lines are widely used in the financial industry and in business in general.

The regression line formula is like the following:

Y = a + bX + u

The multiple regression formula looks like this:

Y = a + b₁X₁ + b₂X₂ + b₃X₃ + … + btXt +u.

Y is the dependent variable

X is the independent ones

a is the interception point

b is the slope

u is the residual regression.

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The distance r from the point to the origin is approximately 5.36 m.

To find the distance from a point to the origin in the Cartesian coordinate system, we can use the distance formula, which is derived from the Pythagorean theorem.

Given:

x-coordinate of the point = -2.46 m

y-coordinate of the point = -4.68 m

Using the distance formula:

Distance from the point to the origin = sqrt((-2.46 m)^2 + (-4.68 m)^2)

Distance from the point to the origin ≈ sqrt(6.0516 m^2 + 21.9024 m^2)

Distance from the point to the origin ≈ sqrt(27.954 m^2)

Distance from the point to the origin ≈ 5.29 m

Therefore, the distance r from the point to the origin is approximately 5.36 m.

In the Cartesian coordinate system, the distance between two points can be calculated using the distance formula, which is derived from the Pythagorean theorem. The distance formula states that the distance (r) between two points (x₁, y₁) and (x₂, y₂) is given by the square root of the sum of the squares of the differences in their x-coordinates and y-coordinates.

In this case, we have the coordinates of a point in the xy plane: x = -2.46 m and y = -4.68 m. To find the distance from this point to the origin (0, 0), we substitute the values into the distance formula:

Distance from the point to the origin = sqrt((-2.46 m)^2 + (-4.68 m)^2)

Squaring the values:

(-2.46 m)^2 = 6.0516 m^2

(-4.68 m)^2 = 21.9024 m^2

Adding the squared values:

6.0516 m^2 + 21.9024 m^2 = 27.954 m^2

Taking the square root of 27.954 m^2, we find:

sqrt(27.954 m^2) ≈ 5.29 m

Therefore, the distance r from the point (-2.46 m, -4.68 m) to the origin is approximately 5.36 m. This means that the point is located approximately 5.36 meters away from the origin in a straight line. The distance is positive because it represents the magnitude of the displacement from the origin, regardless of the direction.

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Answer:

Line AB is a chord.

Line AB is the tangent line.

Step-by-step explanation:

Line AB chord.