Which of the following is the proper name for the figure below?

Answer:

Step-by-step explanation:

(-2 - 4)/(-1 + 3)= -6/2 = -3

y - 4 = -3(x + 3)

y - 4 = -3x - 9

y = -3x - 5

Option 1

Answer:208 mi

 Step-by-step explanation:

If David rents the car for four days,

that's an up-front costof 4 × 23.95 = $95.80.

The other cost depends on the distance (d) he drives.

The equation for his total cost (C) isC = 0.26d + 95.80If David has needs a budget

of $150, then

150 = 0.26d + 95.80- 95.80 from each side54.20 =

0.26d ÷ 0.26d = 208.5

David can't drive that extra 0.5 mi without going over his budget.He can drive 208 whole miles.

Answer:

x=3

Step-by-step explanation:

the answer is 3 because 3*12=36 and 4*12=48

The kind of evidence geologists use to make geological timelines of events in Earth's history is the fossil remains.

A geological timeline shows a calendar of events in Earth's history.

To develop geological timelines, scientists understudy physical objects or structures on the Earth.  These objects or structures enable them to prove a phenomenon of interest.

Generally, the best form of evidence for the study of the history of life on earth is fossils, as they give clues about geological events and past climates, including the ages of rocks.

Other kinds of evidence for developing geological timelines include the following:

Thus, fossils provide the best kind of evidence for geological timelines.

Learn more about geological timelines and fossils at https://brainly.com/question/24584907.

#SPJ1

The following Python function, star string(), receives the integer n as an input and outputs a string of stars (asterisks) that is 2n characters long:

What is a Recursive Python Function?

A recursive function is one that uses self-referential language to define itself. This indicates that the function will continue to call itself and perform its activity until a condition is met and a result is returned.

Here's a possible implementation of the recursive function "star_string" in Python:

   def star_string(n):

   if n == 0:

       return "*"   # base case

   else:

       return star_string(n-1) + star_string(n-1)

The function takes an integer parameter "n", which represents the exponent of 2 in the length of the resulting string (i.e., 2 to the nth power). The base case occurs when n equals 0, in which case the function returns a single asterisk ("*"). Otherwise, the function recursively calls itself with n-1 as the argument, and concatenates the results of those two calls to produce a string that is twice as long.

Here's an example of how to call the function and print the result:

n = 3  # for example

result = star_string(n)

print(result)   # prints "********"

To know more about Recursive Python Function visit,

https://brainly.com/question/28029439

#SPJ1

Difference of density per acre of wheat and corn = 105

Division is the process of splitting a number or an amount into equal parts. Division is one of the four basic operations of arithmetic, the ways that numbers are combined to make new numbers. The other operations are addition, subtraction, and multiplication.

here, we have,

Given:

Yield in 110 acre farm = 17,600 Bushes of corn

Yield in 250 acre farm = 13,750 Bushes of wheat

Find:

Difference of density per acre of wheat and corn

Computation:

Yield per acres Bushes of corn = 17,600 / 110

Yield per acres Bushes of corn = 160

Yield per acres Bushes of wheat = 13,750 / 250

Yield per acres Bushes of wheat = 55

Difference of density per acre of wheat and corn = Yield per acres Bushes of corn - Yield per acres Bushes of wheat

Difference of density per acre of wheat and corn = 160 - 55

Difference of density per acre of wheat and corn = 105

To learn more on division click:

brainly.com/question/21416852

#SPJ1

Step-by-step explanation:

the answer is 2(l+b) and it is verified

Answer: The area and perimeter of the square whose length of one side is of p cm are p^2 square cm and 4p cm respectively.

Step-by-step explanation: We know,

Area of the square = p^2 where p is the side of the square.

The perimeter of the square = 4p cm where p is the side of the square.

thus, The area and perimeter of the square whose length of one side is of p cm are p^2 square cm and 4p cm respectively.

Internal Links: https://brainly.com/question/30769756?answering=false&answeringSource=feedQP

The correctly matched pairs are mentioned below.

An algebraic expression is a combination of terms both constants and variables. For example -

2x + 3y + z

3x + y

Given is to match the correct pairs given below.

{ 1 } -

47, 41, 35, 29, 23   →   a{n} = a{1} + (n- 1)d

{ 2 } -

7, -21, 63, -189, 567   →   a{n} = a{1}rⁿ⁻¹

{ 3 } -

[tex]$A = P(1 + 0.025/12)^{12t}[/tex]   →   A = [tex]$P(1 + r/n)^{nt}[/tex]

{ 4 } -

An 18 - month invest on $10 at 5%.   →   A = P[tex]$e^{rt}[/tex]

{ 5 } -

Investments and loans -

Therefore, the correctly matched pairs are mentioned above.

To solve more questions on algebraic expressions, visit the link below

brainly.com/question/29014197

#SPJ1

The true statement on the height of the ball when thrown from a building, given the equation, can be found to be A. The ball reaches the ground in 3 seconds.

The equation given of the ball being thrown from a building, gives us the height when solved.

The height of the ball when it reaches the ground is 0 feet so we can insert this in the formula to find the time:
0 = - 5 ( t - 3 ) ( t + 5 )

We can use the zero product property, which states that if the product of two factors is zero, then at least one of the factors must be zero. So, we can set each factor equal to zero and solve for t:

t - 3 = 0 or t + 5 = 0

Solving for t in the first equation, we get:

t - 3 = 0

t = 3

Seeing as t is 3 seconds the first option is correct.

Find out more on height at https://brainly.com/question/12446886

#SPJ1

Answer:

0

Step-by-step explanation:

Probability (also known as chance) is the number that indicates how likely an event is to occur. If something has a low probability, it is unlikely to happen. If something has a high probability, it is likely to happen.

If we look at a phone keypad, you will see the numbers 0-9, but you will never see a number greater than 9.

0, 1, 2, 3, 4, 5, 6, 7, 8 and 9 are the numbers, but none are greater than 9.

His estimated monthly income should be $480.

Answer:

              Hello there! If the circular device has a diameter of 4.5 inches, the radius of the device would be 2.25 inches.

Step-by-step explanation:

              The diameter of the circle is a line segment that not only passes through the center of the circle, but also has endpoints that are on the circle and opposite sides to each other. The radius, on the other hand, is half the distance of the diameter, or the distance from any point on the circle to the center of the circle. I've attached a picture below to show you what that would look like, if you're a visual learner.

             Since we know the diameter of the circular device is 4.5 inches, and we know that the radius of a circle is half the length of the diameter of that same circle, that means the radius of the circular device would be [tex]\frac{4.5}{2}[/tex] or 2.25 inches long.

Have a great day! Feel free to let me know if you have any more questions :)

Answer:

8.5

Step-by-step explanation:

If you look at a decimal (0.00) there is the tenths, (0.00), hundredths (0.00), and so on.

Rounding to the nearest tenth, would mean first looking at the hundredths place (8.45), and if it is greater or equal to 5, which if it is, you round up, but if it isn't, you round down.

Therefore, 8.45 rounded to the nearest tenth is 8.5.

The value of s-r is 2

What is common ratio?

In a geometric sequence, ratio of each term to its immediately preceding term is always constant and is known as common ratio.

each term is equal to the sum of the two terms after it.

=> ar^n = ar^(n+1) +  ar^(n+2)

On dividing both the sides by ar^n and simplfying we get

r= 0.618

 sum of the series is:

s= a/(1-r) , a=first term

=> s= 1/(1-0.618 )

=> s= 2.618

s-r = 2.618  -  0.618  = 2

The value of s-r is 2

To learn more about the common ratio from the given link

https://brainly.com/question/28762774

#SPJ1

There are D. 9+7x+(-3y) and E. 9-(-7)x-3y that equivalent to the given expression 9 +7x-3y.

Equivalent expressions are defined as mathematical statements that have containing identical variables or numbers.

The expression is given in the question, as follows:

9 + 7x - 3y

D. 9+7x+(-3y) is equivalent because the expression in the parentheses represents a negative value of 3y, so we can combine the 7x and the negative 3y terms to get 7x-3y, which when added to 9 gives the original expression of 9 +7x-3y.

E. 9-(-7)x-3y is equivalent because we can simply change the minus sign before the -7 to a plus sign, resulting in the original expression of 9 +7x-3y.

Thus, D. 9+7x+(-3y) and E. 9-(-7)x-3y are equivalent to the given expression 9 +7x-3y.

Learn more about the equivalent expressions here:

https://brainly.com/question/27226626

#SPJ9

The complete question would be as:

Select all the expressions that are equivalent to 9 +7x-3y.

A. 9+7x+3y

B. 9-7x-3y

C. 9-7x+3y

D. 9+7x+(-3y)

E. 9-(-7)x-3y

The equations; T = 2c + 43 and T = 3c + 33 for the total cost for the cakes indicates;

Part 1

The number of cupcakes for which the cost would be the same is the option;

In the solution, the x-value represents the A number of cupcakes and the y-value represents the B total cost

An equation is an statement of equivalence between two expression or values by joining them with an '=' sign.

Dolphin Bake Shop charges

Amount charged for each cup cake = $2

Amount charged for the large cake = $43

Total charge, T = 2·c + 43

Make A Splash Bakery

Amount charged for the large cake = $33

Amount charged for each cup cake = $3

Charges total, T = 3·c + 33

Part 1

The number of cupcakes that makes cost for the two options to be the same is found as follows;

The equivalent cost is the point where the equations for the total cost are also equivalent, therefore;

When the cost are the same; T = T and 2·c + 43 = 3·c + 33

2·c + 43 = 3·c + 33

3·c - 2·c = 43 - 33 = 10

c = 10

The number of cupcakes that makes the cost the same is 10 cup cakes

When the costs are the same; T = 2·c + 43, c = 10, therefore;

T = 2 × 10 + 43= 63

The charges at each store when the cost are the same is $63

The point on the graph of both equations at which the charges are the same is therefore the point (x, y) = (10, 63), which is the solution of the system of equations.

x-value is 10, which is the number of cupcakes

y-value is 63, which is the total cost

The correct option is therefore;

Learn more about the solution of a system of equations here: https://brainly.com/question/29172107

#SPJ1

The meaning or impact of the regression data residual not being normally distributed is that the assumptions of the regression model are not met. This can result in biased or misleading estimates of the regression coefficients and the overall fit of the model.

When the residuals are not normally distributed, it can indicate that there are other factors influencing the relationship between the independent and dependent variables that are not accounted for in the model. This can lead to incorrect predictions and unreliable conclusions about the relationship between the variables.

To address this issue, it may be necessary to transform the data or use a different type of regression model that does not assume normality of the residuals. It is also important to check for outliers and influential points, as these can also affect the distribution of the residuals.

In conclusion, the normality of the residuals is an important assumption of the regression model, and if it is not met, it can have a significant impact on the reliability and validity of the results.

The possible measure of the side AB is 9.09 cm.

A triangle is a three-sided closed-plane figure formed by joining three noncolinear points.

Based on the side property triangles are of three types they are Equilateral triangle, Scalene triangle, and Isosceles triangle.

We know, The sum of all the interior angles in a triangle is 180°.

So, The measure of angle 'f' = 180° - (72 + 59)°.

f = 49°.

We also know the cosine rule for a triangle ABC is, cosA = (b² + c² - a²)/2bc.

cos49° = (49 + 144 - m²)/168.

110.22 = 193 - m².

m² = 82.78.

m = 9.09.

learn more about the cosine rule of triangles here :

https://brainly.com/question/26952873

#SPJ1

A function is defined as the relationship between input and output, where each input has exactly one output. The inputs are the elements in the domain and the outputs are elements in the co-domain.

Step-by-step explanation:

f(x)= x¹ - x² +9

g(x) = x³ + 3x² + 12

To find (f-g)(x):

The operations on functions are as easy as the operations on numbers or polynomials.

We have to subtract the functions to find the above mentioned operation.

(f-g) (x)= f(x)-g(x)

         = (x¹ - x² +9)-(x³ + 3x² + 12)

The minus will change the signs of function g.

The set of values that we are permitted to enter into our function is referred to as the domain of a function. The x values for a function f make up this collection (x). A function's range is the range of values that it can accept as input. When we enter an x value, the function outputs this set of outcomes.

(a) f - {1 2 3 4 5} -> {1 2 1 2 1}

This function is neither injective nor surjective. It is not injective because f(1) = f(3) = f(5) = 1, and it is not surjective because 2 is not in the range.

(b) f - {1 2 3 4 5} -> {1 2 3 1 2}

This function is neither injective nor surjective. It is not injective because f(1) = f(4) and it is not surjective because 3 is not in the range.

(c) f(x) = { x if x < 3, x - 3 if x > 3}

This function is both injective and surjective, and hence bijective. It is injective because each element in the domain maps to a unique element in the codomain, and it is surjective because every element in the codomain is mapped to by at least one element in the domain. Hence, this function is bijective.

To know more about domain visit:

https://brainly.com/question/28135761

#SPJ1

Tο summarize, here are the classificatiοns fοr each functiοn:

(a) f(x) = {1 2 1 2 1} is neither injective nοr surjective.

(b) f(x) = {1 2 3 1 2} is neither injective nοr surjective.

(c) f(x) = { x if x < 3 x -3 if x > 3 } is neither injective nοr surjective.

In mathematics, a functiοn definitiοn is a statement that defines a relatiοnship between input values (called the dοmain) and οutput values (called the cοdοmain οr range). A functiοn takes an input value and prοduces a unique οutput value based οn a certain rule οr algοrithm.

(a) The functiοn is neither injective nοr surjective. It is nοt injective because bοth 1 and 2 are mapped tο 1, sο there are multiple inputs that map tο the same οutput. It is nοt surjective because the οutput 3 is never used.

(b) The functiοn is neither injective nοr surjective. It is nοt injective because bοth 1 and 2 are mapped tο the οutput 1, sο there are multiple inputs that map tο the same οutput. It is nοt surjective because the οutput 3 is never used.

(c) The functiοn is neither injective nοr surjective. It is nοt injective because bοth 3 and 4 are mapped tο the οutput 0, sο there are multiple inputs that map tο the same οutput. It is nοt surjective because the οutput 1 is never used.

Hence,

Tο summarize, here are the classificatiοns fοr each functiοn:

(a) f(x) = {1 2 1 2 1} is neither injective nοr surjective.

(b) f(x) = {1 2 3 1 2} is neither injective nοr surjective.

(c) f(x) = { x if x < 3 x -3 if x > 3 } is neither injective nοr surjective.

To learn more about the functions, visit:

https://brainly.com/question/25638609

#SPJ1

Answer:

Step-by-step explanation:

a) The formula for the regression function is:

Maintenance Cost = 54.7757 + 120.689 x Age of Car

b) The slope of the regression equation is 120.689. This means that on average, for every one year increase in the age of a car, the maintenance cost is expected to increase by $120.689.

c) To construct a 95% interval to predict the maintenance cost for a car that is 7 years old, we can use the formula:

Y = a + bX ± tα/2 * SE

where Y is the predicted maintenance cost, a is the intercept, b is the slope, X is the age of the car, tα/2 is the t-value for the 95% confidence level with n-2 degrees of freedom (11 in this case), and SE is the standard error of the estimate.

Plugging in the values, we get:

Y = 54.7757 + 120.689 * 7 ± 2.201 * 11.8442

Y = 923.167 ± 26.010

Therefore, we can be 95% confident that the maintenance cost for a car that is 7 years old will be between $897.16 and $949.17.

d) The null hypothesis is that there is no significant linear relationship between the average maintenance cost and the age of a car in years. The alternative hypothesis is that there is a significant linear relationship between the average maintenance cost and the age of a car in years.

To test the hypothesis, we can perform a t-test on the slope coefficient using the t-statistic and the p-value provided in the output. The t-statistic is 10.1898, which is much greater than the critical t-value at the 0.05 level of significance for a two-tailed test with 11 degrees of freedom (2.201). The p-value is 0.0000, which is less than the significance level of 0.05. Therefore, we can reject the null hypothesis and conclude that there is a significant linear relationship between the maintenance cost and the age of the car in years.

We are aware that ([tex]1^2[/tex] + a1 + b) = 15 represents the sequence's initial term. The second term is determined by the formula ([tex]2^2[/tex] + a2 + b) = 22. These equations can be expressed as a set of linear equations:

a + b = 14 ...(1)

a + b = 14 ...(1)

The results of the simultaneous solving of these equations are a = -3 b = 17.

Thus, [tex](n-3)^2 + 17[/tex] is the nth term in the series in the form of (n+a)2 + b.

An Arithmetic Progression (AP) is a sequence of numbers in which each term is obtained by adding a fixed value to the previous term. This fixed value is called the common difference of progression.

For example, the sequence 2, 5, 8, 11, 14, ... is an arithmetic progression with a common difference of 3. To find the next term, we add 3 to the previous term:

2 + 3 = 5

5 + 3 = 8

8 + 3 = 11

11 + 3 = 14

And so on.

In general, the nth term of an arithmetic progression can be calculated using the formula:

an = a1 + (n - 1)d

where:

an is the nth term of the sequence

a1 is the first term of the sequence

the common difference between terms

n is the number of the term you want to find

So, if we wanted to find the 10th term of the sequence 2, 5, 8, 11, 14, ..., we would use the formula:

a10 = 2 + (10 - 1)3

a10 = 2 + 27

a10 = 29

Therefore, the 10th term of the sequence is 29.

To find the nth term of the sequence in the form of (n+a)² + b, we need to first find the values of a and b.

Let's begin by finding the difference between consecutive terms in the sequence:

The difference between the first and second terms is 22 - 15 = 7.

The difference between the second and third terms is 31 - 22 = 9.

We can observe that the difference between consecutive terms is not constant, which means that the sequence is not arithmetic. However, we can check if the second differences are constant:

The second difference is 2.

Since the second differences are constant, we can conclude that the sequence can be represented by a quadratic equation of the form (n² + an + b). Now, we need to solve for the values of a and b.

We know that the first term of the sequence is given by (1² + a1 + b) = 15. Similarly, the second term is given by (2² + a2 + b) = 22. We can write these equations as a system of linear equations:

a + b = 14 ...(1)

4a + b = 11 ...(2)

Solving these equations simultaneously, we get:

a = -3

b = 17

Therefore, the nth term of the sequence in the form of (n+a)² + b is:

(n-3)² + 17

So, for example:

The 1st term is (1-3)² + 17 = 9 + 17 = 26

The 2nd term is (2-3)² + 17 = 1 + 17 = 18

The 3rd term is (3-3)² + 17 = 0 + 17 = 17

The 4th term is (4-3)² + 17 = 1 + 17 = 18

The 5th term is (5-3)² + 17 = 4 + 17 = 21

and so on.

To know more about sequence visit:

brainly.com/question/28615767

#SPJ1

The student's grade point average is 2.32.

The student will not be admitted to the business college.

It is the average value of the set given.

It is calculated as:

Mean = Sum of all the values of the set given / Number of values in the set

We have,

(a)

Total grade points earned

= (6 x 4) + (15 x 3) + (31 x 2) + (8 x 1)

= 24 + 45 + 62 + 8

= 139

Total credit hours.

= 6 + 15 + 31 + 8

= 60

Now,

The student's grade point average:

= Total grade points earned / Total credit hours taken

= 139 / 60

= 2.32

(b)

2.32 < 2.5

This means,

The student's grade point average is lower than the required 2.5 GPA for admission to the business college.

Thus,

The student's grade point average is 2.32.

The student will not be admitted to the business college.

Learn more about mean here:

https://brainly.com/question/23263573

#SPJ1

Thus, the value of x in the figure is 9.

Collinear refers to a term used in figure to describe a set of three or further points that lie on the same straight line. In other words, if you can draw a straight line that passes through two or further points, those points are said to be collinear.

We can use the member addition hypothetical to break for x. According to the member addition hypothetical, if three points A, B, and C are collinear, also AB BC = AC.

In this case, points D, E, and F are collinear, so we can write

DE EF = DF

Substituting the given values, we get

x- 1 4x 5 = 6x- 5

Simplifying the equation, we get

x 4 = 6x- 5

Abating 5x from both sides, we get

= x- 5

Adding 5 to both sides, we get

x = 9

To further about collinear visit:

https://brainly.com/question/24250339

#SPJ1

The individual events are overlapping. The probability of the combined event is 11/26.

The individual events are overlapping because there are face cards that are also spades (i.e., the Jack, Queen, and King of Spades). To find the probability of the combined event, we need to add the probability of drawing a face card and the probability of drawing a spade, and then subtract the probability of drawing the Jack, Queen, or King of Spades (since we would be double-counting these cards otherwise).

The probability of drawing a face card is 12/52, since there are 12 face cards in the deck (4 Jacks, 4 Queens, and 4 Kings) out of a total of 52 cards.

The probability of drawing a spade is 13/52, since there are 13 spades in the deck (including the Jack, Queen, and King of Spades) out of a total of 52 cards.

The probability of drawing the Jack, Queen, or King of Spades is 3/52, since there are 3 such cards in the deck out of a total of 52 cards.

Therefore, the probability of the combined event is:

P(face card or spade) = P(face card) + P(spade) - P(Jack, Queen, or King of Spades)

P(face card or spade) = 12/52 + 13/52 - 3/52

P(face card or spade) = 22/52

P(face card or spade) = 11/26

So the probability of the combined event is 11/26 or approximately 0.42 when rounded to two decimal places.

This shows the individual events are overlapping and the probability is 11/26

The individual events are overlapping. The probability of the combined event is 11/26.

Learn more on probability of an event here;

https://brainly.com/question/25839839

#SPJ1

Answer:

x = 10182634

y = - 462847/46

Step-by-step explanation:

Divide both sides of the equation by the coefficient of variable

x =   -1012y

y = - 10182634/ 1012

x =   -1012y(  - 10182634/ 1012)

Answer:

The trigonometric function that models the ocean tide for a period of 12 hours is f(x) = 6 sin (2πx/12).

Answer:

400m³

Step-by-step explanation:

Multiply each section individually. First, multiply 8 x 5 x 4.  This gives you 160.  Now you multiply 5 x 12 x 4, which equals 240.

Now you add them together to get 400.

The required angle 1 between the side and diagonal of a square is approximately 45 degrees.

Orientation of the one line with respect to the horizontal or other respective line is known as a measure of orientation and this measure is known as the angle.

Here,
Let's assume that the length of one side of the square is 'a'.

Then the length of the diagonal of the square is given by the Pythagorean theorem:

d² = a² + a² = 2a²

d = a * √(2)

To find the angle between the side and the diagonal, we can use the cosine function:

cos(Ф) = adjacent/hypotenuse = a / (a * √(2))

cos(Ф) = 1 / √(2)

Ф= cos⁻¹(1/√(2))

Ф≈ 45°

Therefore, the angle between the side and diagonal of a square is approximately 45 degrees.

Learn more about Angles here:
https://brainly.com/question/13954458

#SPJ1