Pam, a frequent business traveler, is considering signing up for a hotel rewards program. Hotel Elegance is currently offering 748 points for signing up, plus 86 points for every night Pam books at the hotel. Alternatively, Hotel Paradiso is offering a sign-up bonus of 734 points, plus 87 points per night. If Pam books a certain number of nights, the points she earns with either hotel will be the same. How many nights will that be? How many points will she have?

Step-by-step explanation:

Ummm i think you should try your best cause thats how you improve

Answer:

The circumference of a circle can be found by multiplying pi ( π = 3.14 ) by the diameter of the circle. ... Use 3.14 for pi

Answer:

175.93

Step-by-step explanation:

Answer:

Exactly one answer

Step-by-step explanation:

(because it has only one answer, which is z+3/11)

Answer:

she scored 8 2 pointers and 4 3 pointers

Step-by-step explanation:

Based on a 95% confidence interval for the proportion of American adults who believe in life after death, we can infer that option f, which states that between 85% and 95% of Americans believe in life after death, is the most accurate inference from the given options.

Given that we have a sample size of 1,787 participants and 1,455 answered yes, we can calculate the proportion of Americans who believe in life after death. The proportion is calculated by dividing the number of individuals who answered yes by the total number of participants:

Proportion = Number of "Yes" responses / Total number of participants

Proportion = 1,455 / 1,787 ≈ 0.814

This means that approximately 81.4% of the surveyed American adults believe in life after death.

Now, let's interpret the given options using a 95% confidence interval. A 95% confidence interval means that if we were to repeat this survey multiple times and calculate confidence intervals for each survey, approximately 95% of those intervals would contain the true population proportion.

Options a, b, c, e, g, i, j, and k can be ruled out based on their statements, as they don't align with the calculated proportion of 81.4%.

Option f suggests that between 85% and 95% of Americans believe in life after death. This range includes the calculated proportion of 81.4%, so it's a plausible inference. However, we cannot say with certainty that it is the correct answer since it falls short of the 95% confidence level.

The only option left is option h, which states that between 45% and 55% of Americans believe in life after death. This range does not include the calculated proportion of 81.4%, so it contradicts the data we have. Therefore, option h is not a valid inference.

Hence the correct option is f.

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Answer:

Midnight will eat 1 more cup of dog food per day than Rusty.

Step-by-step explanation:

Rusty:

Midnight eats 28 cups / 7 days = 4 cups of dog food per day.

Midnight will eat 4 - 3 = 1 more cup of dog food per day than Rusty.

Answer:

b

Step-by-step explanation:

-2xa ×-4xb=8xa+b

-2xa×-2x3=4xa+3

-2xa×5x=10xa+1

Answer:

im answering so u can give the other person brainlist your welcome

<3 answered your ? love

Answer:

-2/3

Step-by-step explanation:

Step 1:

-1/3 ÷ 1/2

Step 2:

-1/3 × 2/1

Answer:

-2/3

Hope This Helps :)

The cost function for the field trip can be represented as C(x) = 100 + 7.50x, where x is the number of students attending. In this case, only 3 students are going, so we can find the total cost by plugging in x = 3:

The cost of going on a field trip for a school club is represented by C(x) where there is a set fee of $100 for the use of the bus and the cost per student is $7.50.

If only 3 students go, we can calculate the total cost as follows: C(3) = $100 + ($7.50 x 3) = $100 + $22.50 = $122.50. Therefore, the range of this event would be { $122.50 }.

This means that the cost of the field trip for 3 students would be anywhere within the range of $122.50. The range is represented by the braces {} and is in dollars as per the problem statement. It is important to note that the range represents the possible values that a function can take, in this case, the cost of the field trip.


Since the cost is directly related to the number of students, and there is only one possibility (3 students), the range will be a single value. Therefore, the range of this event can be written as:

Range = {$122.50}

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Answer:

120°

Step-by-step explanation:

m<ABD+m<DBC=m<ABC

61°+59°=120°

hope this helped!

Answer:

We conclude that the value of m∠ABC = 120°

Step-by-step explanation:

Given

m∠ABD = 61°

m ∠DBC = 59°

To Determine

m∠ABC = ?

It is clear that the value of m∠ABC can be determined by adding m∠ABD and m∠DBC because m∠ABC the segment BD divides the angle m∠ABC into two adjacent angles m∠ABD and ∠DBC.

Therefore,

m∠ABC = m∠ABD + m∠DBC

             = 61° + 59°            ∵ m∠ABD = 61°, m ∠DBC = 59°

             = 120°

Therefore, we conclude that the value of m∠ABC = 120°

Answer:

Since i dont have a graph il just tell you this way. on the x axis, go right 2 times, then go down 3 times and that will be your answer.

Step-by-step explanation:

Answer:

Step-by-step explanation:

2cm = 2 * 10 mm

2 cm = 20 mm

for every 15 mm of colored fabric, Gavyn uses 20 cm of white fabric.

The ratio is expressed as white fabric to colored fabric.

Answer: Ratio white to colored = 20 / 15 = 4 / 3

The expression where the greatest common factor (GCF) is factored completely is \(2x^3y + 18xy - 10x^2y - 90y = 2y(x^3 + 9x - 5x^2 - 45)\)

The expression completely factored in is

\(2y(x^3 + 9x - 5x^2 - 45) = 2y[x(x^2 - 5) + 9(x^2 - 5)]\\= 2y(x - 5)(x^2 + 9)\)

Please refer below for the remaining answers.

We have,

Part A:

To rewrite the expression 2x³y + 18xy - 10x²y - 90y so that the greatest common factor (GCF) is factored completely, we can factor out the common terms.

GCF: 2y

\(2x^3y + 18xy - 10x^2y - 90y = 2y(x^3 + 9x - 5x^2 - 45)\)

Part B:

To completely factor the expression, we can further factor the quadratic term.

\(2y(x^3 + 9x - 5x^2 - 45) = 2y[x(x^2 - 5) + 9(x^2 - 5)]\\= 2y(x - 5)(x^2 + 9)\)

Now,

Part A:

To determine the length of each side of the square given the area expression (9x² + 24x + 16), we need to factor it completely.

The area expression (9x² + 24x + 16) can be factored as (3x + 4)(3x + 4) or (3x + 4)².

Therefore, the length of each side of the square is 3x + 4.

Part B:

To determine the dimensions of the rectangle given the area expression (16x² - 25y²), we need to factor it completely.

The area expression (16x² - 25y²) is a difference of squares and can be factored as (4x - 5y)(4x + 5y).

Therefore, the dimensions of the rectangle are (4x - 5y) and (4x + 5y).

Now,

f(x) = 2x² - 5x + 3

Part A:

To find the x-intercepts of the graph of f(x), we set f(x) equal to zero and solve for x.

2x² - 5x + 3 = 0

The quadratic equation can be factored as (2x - 1)(x - 3) = 0.

Setting each factor equal to zero:

2x - 1 = 0 --> x = 1/2

x - 3 = 0 --> x = 3

Therefore, the x-intercepts of the graph of f(x) are x = 1/2 and x = 3.

Part B:

To determine if the vertex of the graph of f(x) is maximum or minimum, we can examine the coefficient of the x^2 term.

The coefficient of the x² term in f(x) is positive (2x²), indicating that the parabola opens upward and the vertex is a minimum.

To find the coordinates of the vertex, we can use the formula x = -b / (2a), where a and b are the coefficients of the quadratic equation.

For f(x),

a = 2 and b = -5.

x = -(-5) / (2 x 2) = 5/4

To find the corresponding y-coordinate, we substitute this x-value back into the equation f(x):

f(5/4) = 25/8 - 25/4 + 3 = 25/8 - 50/8 + 24/8 = -1/8

Therefore, the vertex of the graph of f(x) is at the coordinates (5/4, -1/8), and it is a minimum point.

Part C:

To graph f(x), we can start by plotting the x-intercepts, which we found to be x = 1/2 and x = 3.

These points represent where the graph intersects the x-axis.

Next,

We can plot the vertex at (5/4, -1/8), which represents the minimum point of the graph.

Since the coefficient of the x² term is positive, the parabola opens upward.

We can use the vertex and the symmetry of the parabola to draw the rest of the graph.

The parabola will be symmetric with respect to the line x = 5/4.

We can also plot additional points by substituting other x-values into the equation f(x) = 2x² - 5x + 3.

By connecting the plotted points, we can draw the graph of f(x).

The steps to graph f(x) involve plotting the x-intercepts, the vertex, and additional points, and then connecting them to form the parabolic curve.

The answer in part A (x-intercepts) and part B (vertex) are crucial in determining these key points on the graph.

Thus,

The expression where the greatest common factor (GCF) is factored completely is \(2x^3y + 18xy - 10x^2y - 90y = 2y(x^3 + 9x - 5x^2 - 45)\)

The expression completely factored in is

\(2y(x^3 + 9x - 5x^2 - 45) = 2y[x(x^2 - 5) + 9(x^2 - 5)]\\= 2y(x - 5)(x^2 + 9)\)

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The cost of one rose bush is $10 and the cost of one pot of ivy is $10.

Let's assume the cost of one rose bush is represented by "R" and the cost of one pot of ivy is represented by "I".

According to the given information:

Jaidee spent $140 on 2 rose bushes and 12 pots of ivy:

2R + 12I = 140 ...(1)

Beth spent $120 on 6 rose bushes and 6 pots of ivy:

6R + 6I = 120 ...(2)

We now have a system of two equations with two variables. To solve this system, we can use either substitution or elimination method. Let's use the elimination method.

Multiply equation (1) by 3 and equation (2) by 2 to make the coefficients of "R" in both equations equal:

6R + 36I = 420 ...(3)

12R + 12I = 240 ...(4)

Now, subtract equation (4) from equation (3):

(6R + 36I) - (12R + 12I) = 420 - 240

-6R + 24I = 180 ...(5)

Now we have a new equation (5) that relates "R" and "I".

Let's solve equations (5) and (2) together:

-6R + 24I = 180 ...(5)

6R + 6I = 120 ...(2)

Add equation (5) and equation (2):

(6R - 6R) + (24I + 6I) = 180 + 120

30I = 300

Divide both sides of the equation by 30:

I = 10

Now substitute the value of "I" into equation (2) to find the value of "R":

6R + 6(10) = 120

6R + 60 = 120

6R = 120 - 60

6R = 60

Divide both sides of the equation by 6:

R = 10

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Henry must have to score 86 marks in the fifth exam to make an average of 80 marks.

What is the average?

This is the arithmetic mean and is calculated by adding a group of numbers and then dividing by the count of those numbers. For example, the average of 2, 3, 3, 5, 7, and 10 is 30 divided by 6, which is 5.

Henry scored 85, 76, 84, and 69, and let's suppose he scored 'x' marks in the fifth exam.

Average = sum of all marks/total number of exams

  80 =(85 + 76 + 84 + 69 + x)/5

 80 = 314 + x/5

 80 * 5 = 314 + x

 400 = 314 + x

  x = 400 - 314

  x = 86

Hence, Henry must have to score 86 marks in the fifth exam to make an average of 80 marks.

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Answer:

Step-by-step explanation:

Simplifying

2xs = 18

Solving

2sx = 18

Solving for variable 's'.

Move all terms containing s to the left, all other terms to the right.

Divide each side by '2x'.

s = 9x-1

Simplifying

s = 9x-1

Answer: There are 80 dimes and 120 nickels.

Step-by-step explanation: Now check to make sure it's right. How much is 120 nickels worth? How much is 80 dimes?

Answer:

Also doubles

Step-by-step explanation:

Hope this helps. Have a nice day you amazing bean child.

The constant of proportionality is 2.

The general equation of a straight line is -

[y] = [m]x + [c]

where -

[m] → is slope of line which tells the unit rate of change of [y] with respect to [x].

[c] → is the y - intercept i.e. the point where the graph cuts the [y] axis.

We have [y] varies directly with [x] and y doubles then x.

The general equation of a straight line can also be used to represent proportional relationship when [c] = 0.

y = mx + c

y = mx + 0

y = mx

m = y/x

where [m] is constant of proportionality.

A/C to question -

y = 2x

Here, the constant of proportionality is 2.

Therefore, the constant of proportionality is 2.

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Answer:

\(y=\frac{1}{4} +x\)

Step-by-step explanation:

use desmos graphing calculator

Answer:

445,506

Step-by-step explanation:

math

Answer:

HM

Step-by-step explanation:

dddd

The feasible set for this system of constraints is not convex, and the points (5, 5) and (3, 7) violate the convexity definition.

To determine whether the feasible set for each system of constraints is convex, we need to analyze the constraints individually and examine their intersection.

a) (x1)² + (x2)² > 9

This constraint represents points outside the circle with a radius of √9 = 3. The feasible set includes all points outside this circle.

b) x1 + x2 ≤ 10

This constraint represents points that lie on or below the line x1 + x2 = 10. The feasible set includes all points on or below this line.

c) x1, x2 > 0

This constraint represents points in the positive quadrant, where both x1 and x2 are greater than zero.

Now, let's analyze the intersection of these constraints:

Considering the first two constraints (a and b), we can see that the feasible set consists of all points outside the circle (constraint a) and below or on the line x1 + x2 = 10 (constraint b).

To determine whether the feasible set is convex, we need to check if any two points within the set create a line segment that lies entirely within the set.

If we consider the points (5, 5) and (3, 7), both points satisfy the individual constraints (a) and (b). However, the line segment connecting these two points, which is the line segment between (5, 5) and (3, 7), exits the feasible set since it passes through the circle (constraint a) and above the line x1 + x2 = 10 (constraint b).

Therefore, the feasible set for this system of constraints is not convex, and the points (5, 5) and (3, 7) violate the convexity definition.

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Answer:

x=3 and 9

Step-by-step explanation:

; x-3=0

x=3 (change side change mark)

and

\( \frac{2}{3} x - 6 = 0\)

\( \frac{2}{3} x = 6\)

\(x = 6 \times \frac{3}{2} \)

change side change mark.

So, x=9

If u wanna check the answer you can check by substitution x=3 and 9 in equation.

hope it helps you ☺️

Answer: I'd say reflection

Answer:

It is a reflection

Step-by-step explanation:

In Geometry, a reflection is known as a flip. A reflection is a mirror image of the shape. An image will reflect through a line, known as the line of reflection. A figure is said to reflect the other figure, and then every point in a figure is equidistant from each corresponding point in another figure.

In order for sales revenue to be $900, we need to set up an equation using the given information. Suppose consumers will purchase q units of a product at a price of $300 + $3 per unit.

Therefore, the total revenue will be: Total revenue = price per unit × number of units sold= ($300 + $3q)q = $300q + $3q²We want this total revenue to be $900, so we can set up an equation: $300q + $3q² = $900Simplifying this equation, we get: $3q² + $300q - $900 = 0.

Dividing by 3, we get: q² + 100q - 300 = 0We can use the quadratic formula to solve for q:q = (-100 ± √(100² - 4(1)(-300))) / (2(1))q ≈ 6.85 or q ≈ -106.85Since we can't have a negative number of units, we can disregard the negative solution. Therefore, the number of units that must be sold in order for sales revenue to be $900 is approximately 6.85 units (rounded to the nearest hundredth).

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Answer:

x = 8 is the answer :)

Step-by-step explanation:

Slope(m) = -2/5

slope is passing through the points: (x,1) and (3,3)

\(m=\frac{y_2-y_1}{x_2-x_1}\)

\(m = \frac{3-1}{3-x}\)

\(m=\frac{2}{3-x}\)

\(-\frac{2}{5} =\frac{2}{3-x}\)

-2(3 - x) = 2 × 5

-6 + 2x = 10

2x = 10 + 6

2x = 16

x = 8

Hopefully, this answer helped :)

At r = 10 cm and h = 20 cm, the cone's volume is growing at a rate of 1047 cm³/s.

The following formula determines the cone's volume:

V = 1/ 3 πr²h

In which r and h are specified in cm, whereas V is given in cm³.

Assume that a circular cone's height h and radius r are both rising at a speed of 2 cm/s.

This indicates that; the rate of change of volume

dh/dt = dr/dt = 2 cm/s.

Increasing the cone's volume at r = 10 cm and h = 20 cm.

dV/dt for r = 10 cm and h = 20 cm.

V = 1/ 3 πr²h

Implicit distinction in use:

V, r, and h are the three variables we have. So

dV/dt = (1/3) [2r.(dr/dt).hπ + r²π(dh/dt)]

dV/dt = (1/3) [2(10).(2).(20)π + (10)²π(2)]

dV/dt = 1047 cm³/s

At r = 10 cm and h = 20 cm, the cone's volume is growing at a rate of 1047 cm³/s.

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You have the following points that form a triangle in the coordinate system:

F(8,3)

G (3,5)

H (1,7)

If the traingle is rotated by 180° around the origin of coordinates you have:

F'(-8,-3)

G'(-3,-5)

H'(-1,-7)

without importance of the sense of the rotation, if it is 180°, each coordinate of each point will have the opposite sign bu the same coefficient.

The original equation and the orthogonal equation are the same, we can conclude that the family of conics with the same focus x^2/a^2+C + y^2/b^2+C = 1 is its own orthogonal family of curves.

To show that the family of conics with the same focus x^2/a^2+C + y^2/b^2+C = 1 is its own orthogonal family of curves, we need to take the derivative of the equation and set it equal to -1/b^2, the slope of the orthogonal line.

First, we take the derivative of the equation with respect to x:

2x/a^2 = -2y/b^2 * dy/dx

Simplifying, we get:

dy/dx = -b^2*x/a^2*y

Now, we set this equal to -1/b^2:

-b^2*x/a^2*y = -1/b^2

Cross-multiplying and simplifying, we get:

x/a^2*y = 1/b^2

Finally, we can rearrange this equation to get:

y = b^2*x/a^2

This equation represents the orthogonal family of curves to the original family of conics. Since the original equation and the orthogonal equation are the same, we can conclude that the family of conics with the same focus x^2/a^2+C + y^2/b^2+C = 1 is its own orthogonal family of curves.

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Answer:

Below

Step-by-step explanation:

4%  /12  = .33 % per period

  periods per year = 12

  money is compounded each month for 12 years = 144 times