Emily rented her books from the internet for a price
represented by the equation below. Patricia rented her books
from the bookstore for the price represented in the table.
Who pays more money for each additional day, d, after day 0?
P=2d-1

Answer:

See below:

Step-by-step explanation:

I hope you are having a nice day! My name is Galaxy and I will be helping you today!

We can solve the problem in a single step, that is simplifying.

I'll go and start off with that.

Simplifying

We know that slope intercept form is \(y=mx+b\). Therefore, to convert that, we must isolate y to one side and keep the other stuffon the other side.

We can first subtract by x on both sides.

\(3y=-x-24\)

We can then divide both sides by 3.

\(y=-\frac{x}{3}-8\)

We've now gotten our answer in slope intercept form.

Cheers!

Considering the dot plot, the tallest conifer is 3.25 inches taller than the shortest conifer.

This shows, with dots, the number of times that each of the measures appears in a data set.

For finding the dot plot, we have that:

The shortest conifer measures 6 and 1/4

= 6.25 inches.

The tallest conifer measures 9.5 inches.

The difference is:

9.5 - 6.25 = 3.25 inches.

Therefore the tallest conifer is 3.25 inches taller than the shortest conifer.

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Answer:

x = 48°

Step-by-step explanation:

Complementary angles

Angles that sum to 90°.

Vertical Angle Theorem

When two straight lines intersect, the vertical angles are congruent (equal).

Therefore, angle x is equal to the angle that is complementary to 42°.

To find x, subtract 42° from 90°:

⇒ x = 90° - 42°

⇒ x = 48°

Answer:

the opposite of the opposite of -9, the opposite of 6, the opposite of 4, the opposite of 0, the opposite of the opposite of 7

Explanation:

the opposite of 4 = -4

the opposite of the opposite of -9 = -9

the opposite of 6 = -6

the opposite of the opposite of 7 = 7

the opposite of 0 = 0

Then you just put them in order.

Hope this helps!

Check the picture below.

so the parabolic path of the object is more or less like the one shown below in the picture, now this object has an initial of 1240 ft, as it gets thrown from the ski lift, so from 0 seconds is already higher than 1000 feet.

\(h=-16t^2+32t+1240\hspace{5em}\stackrel{\textit{a height of 1000 ft}}{1000=-16t^2+32t+1240} \\\\\\ 0=-16t^2+32t+240\implies 16t^2-32t-240=0\implies 16(t^2-2t-15)=0 \\\\\\ t^2-2t-15=0\implies (t-5)(t+3)=0\implies t= \begin{cases} ~~ 5 ~~ \textit{\LARGE \checkmark}\\ -3 ~~ \bigotimes \end{cases}\)

now, since the seconds can't be negative, thus the negative valid answer in this case is not applicable, so we can't use it.

So the object on its way down at some point it hit 1000 ft of height and then kept on going down, and when it was above those 1000 ft mark  happened between 0 and 5 seconds.

The differential equation that represents the relationship is

     dT/dt = - k * ( T - T0 ) from the condtion - dT/dt ∝ ( T - T0 ).

Given:

The engine fluid temperature rate of change, dT/dt

- dT/dt ∝ ( T - T0 )   [proportional to the difference of the fluid's instantaneous temperature, T, and the fluid's original temperature, T0.]

The Differential Equation that represents the relationship.

The framework is already set, there is only one thing that changes the proportionality to an equation. And that is a proportionality constant.

Let's call it 'k'

Since this is a directly proportional set up, the constant 'k' will be multiplied to the term of ( T - T0 )

                            - dT/dt = k * ( T - T0 )

And to make this look like a typical equation, multiply both sides by a -1 to get:

                           ∴ dT/dt = - k * ( T - T0 )

As expected, this comes to represent the same thermodynamic effect you'd see in Newton's Law of Cooling; it is expected because most of all fluids exhibit this cooling effect when interacting with other fluids of differing temperatures.

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Answer:

area of a deck

A= External area - Internal area

A = length x width

A = ( 44ft x 28ft) - ( 32ft x 16ft)

A = 720ft²

The value of x is 5 and the value of y is 6.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that the two equations are y=2x-4 and y=x+1. The two equations can be solved as below,

y=2x-4 and y=x+1, Equate both the equations and solve for the value of x,

2x-4 =x+1

2x - x = 4 + 1

x =5

y=x+1

y = 5 + 1 = 6

Hence, the value of x is 5 and the value of y is 6.

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Answer:

Contrapositive: If the angle is a right angle then it is not obtuse. True

Explanation:

The statement can be rewritten as:

If the angle is obtuse then it is not a right angle.

So, the initial part of the statement is the angle is obtuse and the consequence is it is not a right angle.

Then, the contrapositive is the negation of the consequence then the negation of the initial part. So, the contrapositive is:

If the angle is a right angle then it is not obtuse.

Additionally, the statement and its contrapositive are equivalent, so when the statement is true, the contrapositive is also true.

Therefore, the answer is:

Contrapositive: If the angle is a right angle then it is not obtuse. True

Answer:

2.29

Step-by-step explanation:

An A is 4 points.

A B is 3 points.

A C is 2 points.

(1 × 4 + 4 × 2 + 2 × 2)/7 = 16/7 = 2.29

Answer:

Therefore, the solution to the equation -x + 3y = 11 is x = -34/11 and y = 29/11.

Step-by-step explanation:

The given equation is:

-x + 3y = 11

To solve this equation by elimination, we need to add or subtract one or both equations to eliminate one of the variables. In this case, we can eliminate the variable x by adding the equation with another equation that has x with the same coefficient, but opposite sign.

Let's suppose we have another equation with x, for example:

2x + 5y = 7

We can eliminate x by multiplying the first equation by 2 and the second equation by 1, so that the coefficients of x are opposite:

-2x + 6y = 22 (multiply the first equation by -2)

2x + 5y = 7 (the second equation)

Now we can add the two equations to eliminate x:

-2x + 2x + 6y + 5y = 22 + 7

Simplifying the equation, we get:

11y = 29

Dividing both sides by 11, we get:

y = 29/11

Now that we know the value of y, we can substitute it back into one of the original equations to find the value of x. Let's use the first equation:

-x + 3y = 11

Substituting y = 29/11, we get:

-x + 3(29/11) = 11

Simplifying the equation, we get:

-x + 87/11 = 11

Subtracting 87/11 from both sides, we get:

-x = 11 - 87/11

Multiplying both sides by -1, we get:

x = 87/11 - 11

Simplifying the equation, we get:

x = (87 - 121)/11

x = -34/11

Using the binomial distribution, we find that:

a) There is a 0.648 = 64.8% probability that there will be at least two hurricanes from which the home will experience no damage before the second hurricane from which the home will experience damage.

b) There is a 0.1728 = 17.28% probability that the home will experience its second damage from the fourth hurricane, given that the home has not experienced two damages from the first two hurricanes.

c) The mode is of 7.5 hurricanes.

For each hurricane, there are only two possible outcomes. Either it causes damage, or it does not. The probability of the home experiencing damage from a hurricane is independent of any other hurricane, which means that the binomial distribution is used to solve this question.

Binomial probability distribution

It gives the probability of exactly x successes on n trials, with p probability.

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)  

\(C_{n,x} = \frac{n!}{x!(n-x)!}\)

The mode of the number of trials needed for q successes is given by:

\(M = \frac{q}{p}}\)

In this problem, there is a 0.4 probability of experiencing damage from a hurricane, thus \(p = 0.4\).

Item a:

This is the probability of at most 1 damage in 3 hurricanes, which is:

\(P(X \leq 1) = P(X = 0) + P(X = 1)\)

With \(n = 3\).

In which

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

\(P(X = 0) = C_{3,0}.(0.4)^{0}.(0.6)^{3} = 0.216\)

\(P(X = 1) = C_{3,1}.(0.4)^{1}.(0.6)^{2} = 0.432\)

Then

\(P(X \leq 1) = P(X = 0) + P(X = 1) = 0.216 + 0.432 = 0.648\)

0.648 = 64.8% probability that there will be at least two hurricanes from which the home will experience no damage before the second hurricane from which the home will experience damage.

Item b:

Then

\(0.432(0.4) = 0.1728\)

0.1728 = 17.28% probability that the home will experience its second damage from the fourth hurricane, given that the home has not experienced two damages from the first two hurricanes.

Item c:

Then:

\(M = \frac{3}{0.4}} = 7.5\)

The mode is of 7.5 hurricanes.

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Answer:

True

Step-by-step explanation:

Residual standard deviation is the square root of the residual variance. It is an estimate of the error made on the measurement of the dependent variable.

Thus, the spread around the regression model is usually measured with the residual standard deviation because it is the measurement of standard error between actual and predicted value.

Um th eanswer is 56-64-34-3402-30 = 19038

Answer:

3 is the common denominator  

Answer:

21

Step-by-step explanation:

7, 14, 21

3, 6, 9, 12, 15, 18, 21

The function f(x) = 2x² - 7x + 10 is an odd function.

f(-x) = 2(-x)² - 7(-x) + 10

      = 2x² + 7x + 10

-f(x) = -[2x²- 7x + 10]

      = -2x² + 7x - 10

To determine whether the function f(x) = 2x² - 7x + 10 is even, odd, or neither, we compare f(-x) and -f(x).

1. f(-x) = 2x² + 7x + 10

2. -f(x) = -2x² + 7x - 10

To determine if f(-x) = -f(x) (even function), we substitute -x for x in f(x) and check if the equation holds.

1. f(-x) = 2x² + 7x + 10

         = f(x) (not equal to -f(x))

Since f(-x) is not equal to -f(x), the function is not even.

Next, to determine if f(-x) = -f(x) (odd function), we substitute -x for x in f(x) and check if the equation holds.

2. -f(x) = -2x² + 7x - 10

        = -(2x² - 7x + 10)

        = -(f(x))

Since -f(x) is equal to -(f(x)), the function is odd.

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Answer:

Step-by-step explanation:

75 = 3 x 25 = 3 x 5²

32 = 2 x 16 = 2 x 4²

68 = 4 x 17 = 2² x 17

So

the largest perfect square number that is a factor of 75 is 25

the largest perfect square number that is a factor of 32 is 16

the largest perfect square number that is a factor of 68 is 4

The point has an x-coordinate of -4 and a y-coorindate of -1, and it is on the third quadrant.

First, remember that for a point (x, y):

For the point that is 4 units to the lefft and 1 unit down (of the origin) it is written as:

(-4, -1)

Then we can see that this point is on the quadrant III.

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Answer:

5

Step-by-step explanation:

(5 x 25)+ ( 5x 6) = 5 x (25 + 6)

Joel be not able to make a right triangle with his fence because the given dimensions are not satisfying for Pythagoras theorem.

Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.

Dimensions of triangle he has to use for fencing are

15 feet, 8 feet, and 20 feet.

For making it a right triangle it must satisfy the "Pythagoras theorem" which states that

In a right-angled triangle, the square of the hypotenuse side is equal to the sum of squares of the other two sides.

H²=B²+P²

20²=15²+18²

400=225+64

400≠289

No, it will not be able to make a right triangle.

Hence, Joel will be not able to make a right triangle with his fence because the given dimensions are not satisfying for pythagoras theorem.

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The complete question is given below:

Joel wants to fence off a triangular portion of his yard for his chickens. The three pieces of fencing he has to use are 15 feet, 8 feet, and 20 feet long.

1. Will he be able to make a right triangle out of his fence? Why or why not?

Area of the plot = 193 sq.yd.  , Option B is the correct answer.

Area is the space occupied by a flat surface or an object .

It is measured in square units

It has wide daily life importance like in the question mentioned , a plot will be measured in area of the space.

It is given that

A developer buys an empty lot to build a small house.

area of the lot = ?

The figure is incomplete and the complete figure is attached with the answer.

To determine the area the figure needs to be divided into triangles and rectangles as shown in the figure

Area of the first triangle = (1/2) * base * height

By Calculation

base = 17 unit and height = 10 unit

= (1/2) * 17 * 10

= 17*5

=85 sq.unit

Area of the second triangle = (1/2)* 9* 8

=36 sq. unit

Area of the rectangle = base * height

base = 9 unit and height = 7 unit

Area = 9*7= 63 sq.unit

Area of the last triangle = (1/2) * 2*9

= 9 unit

The area of the plot = 85+36+63+9

Area of the plot = 193 sq.yd.

Therefore , Option B is the correct answer.

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Answer:

Step-by-step explanation:

Area of the plot = 193 sq.yd.  , Option B is the correct answer.

What is Area ?

Area is the space occupied by a flat surface or an object .

It is measured in square units

It has wide daily life importance like in the question mentioned , a plot will be measured in area of the space.

It is given that

A developer buys an empty lot to build a small house.

area of the lot = ?

The figure is incomplete and the complete figure is attached with the answer.

To determine the area the figure needs to be divided into triangles and rectangles as shown in the figure

Area of the first triangle = (1/2) * base * height

By Calculation

base = 17 unit and height = 10 unit

= (1/2) * 17 * 10

= 17*5

=85 sq.unit

Area of the second triangle = (1/2)* 9* 8

=36 sq. unit

Area of the rectangle = base * height

base = 9 unit and height = 7 unit

Area = 9*7= 63 sq.unit

Area of the last triangle = (1/2) * 2*9

= 9 unit

The area of the plot = 85+36+63+9

Area of the plot = 193 sq.yd.

Therefore , Option B is the correct answer.

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Answer:

The probability of drawing O is;

Explanation:

We want to calculate the theoretical probability of drawing the letter O from COLORADO.

From COLORADO;

The probability of drawing O will be;

The probability of drawing O is;

Answer:

B) ABD=CDB

Step-by-step explanation:

Answer:

y = 9/4x -1/2

Step-by-step explanation:

4x + 9y -2=0

solve for y: 4x-2=-9y

(4x-2)/-9 =  

y =4/-9x-2/9

perpendicular means reciprocal of slope. So 4/-9 changesz to 9/4

For the point plug in y and x:

9/4*2+b=4

b = -0.5

I attached graph as proof

Answer:

0, -1, 5

Step-by-step explanation:

x^3 - 4x^2 - 5x = 0

Pull out like factors.

x * (x^2 - 4x - 5) = 0

Factorize by splitting the middle term.

x * (x^2 - 5x + x - 5) = 0

x * [x * (x - 5) + (x - 5) ] = 0

x * (x + 1) * (x - 5) = 0

Solve the variable equations to find the roots.

x = 0

x = 0x + 1 = 0

x = 0x + 1 = 0x = -1

x = 0x + 1 = 0x = -1x - 5 = 0

x = 0x + 1 = 0x = -1x - 5 = 0x = 5

Rounded to the nearest hundredth, the value of y at \(x = 7\) is approximately \(12.78\), according to the concept of linear regression line.

To find the linear regression line for the given data, we can use statistical software or a calculator. The equation of the linear regression line is of the form \(y = mx + b\), where m represents the slope and b represents the y-intercept.

Using the provided data, the linear regression line equation is:

\(\[ y = 1.3642x + 3.2324 \]\)

To find the value of \(y\) at \(x = 7\), we substitute \(x = 7\) into the equation:

\(\[ y = 1.3642(7) + 3.2324 \]\)

Simplifying the equation, we get:

\(\[ y = 9.5494 + 3.2324 \]\[ y = 12.7818 \]\)

In conclusion, the linear regression analysis allows us to determine the relationship between the variables x and y in the given data set. By finding the equation of the linear regression line, we can estimate the value of y for any given x. In this case, the linear regression line equation is \(y = 1.3642x + 3.2324\). By substituting \(x = 7\) into the equation, we find that the estimated value of y is approximately \(12.78\). This analysis provides a useful tool for predicting and understanding the relationship between variables, allowing us to make informed decisions and interpretations based on the data.

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Answer:

No, it's not correct

Step-by-step explanation:

20-(2x6)+8/4

20-(12)+8/4

20-(12)+2

8+2

10

Hey there!

20 - (2 × 6)+8 ÷ 4 = 29

LETS SEE IF THE STATEMENT IS TRUE

20 - (2 × 6) + 8 ÷ 4

= 20 - 2(6) + 8 ÷ 4

= 20 - 12 + 8 ÷ 4

= 8 + 8 ÷ 4

= 8 + 2

= 10

Thus this makes your statement [FALSE] because 10 ≠ 29

Good luck on your assignment & enjoy day!

~Amphitrite1040:)

The measure of ZPQR is approximately 113°. This can be solved usiing the concept of geometry.

One of the first areas of mathematics is geometry, along with arithmetic. It is concerned with spatial characteristics like the separation, shape, size, and relative placement of objects. A geometer is a mathematician who specializes in geometry.

Therefore, to find the measure of ZPQR, we would follow the following steps:

Let x= measure of <PQR

Hence, the measure of <PQR

296 = x/360 x 3.14 x 2 x 150

Hence, x = 113.12 °

Approximately, the measure of ZPQR is 113 °

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