2.4, -3.4, -9.2, -15, - 20.8,

If the pattern continues, which expression can be used to find the nth term?

Answer:

I think it is D.

Step-by-step explanation:

add all the numbers on the bottom however many blocks go up from the number is the number of times it is used.  there are a total of 21 numbers so take the sum of the numbers and divided by 21 to get 5.28 and round to get 5.3.

(Let me know if it's correct)

Answer:

1

Step-by-step explanation:

Since they are not parallel nor the same line, they have 1 intersecting point, which is the solution.

If they were parallel, they would have no solution.

If they were the same line, they would have infinite solutions.

So the length of the path along the longest side of the park would be 35 yds.

The three sides of a triangle, a three-sided polygon in geometry, are made up of three edges and three vertices. A triangle's most important property is that its internal angles can all be added up to 180 degrees.

The area of a right triangle is given by the formula A = (1/2) * b * h, where b and h are the lengths of the legs of the triangle. Since one of the legs of the park is 21 yds and the area is 294 yd², we can solve for the length of the other leg:

A = (1/2) * b * h

294 = (1/2) * 21 * h

h = (2 * 294) / 21

h = 28

So the length of the other leg of the triangle is 28 yds.

To find the length of the hypotenuse, we can use the Pythagorean theorem, which states that the sum of the squares of the legs of a right triangle is equal to the square of the length of the hypotenuse:

c² = a² + b²

Plugging in the values we have, we get:

c² = 21² + 28²

c² = 441 + 784

c² = 1225

c = 35

So the length of the path along the longest side of the park would be 35 yds.

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Answer:

12

Step-by-step explanation:

A profit, or money you have, or money you deposit in a bank account is usually positive.

A debt, or money you withdraw from a bank account, or money you give away is usually negative.

Answer: 12

The demand elasticity for Netflix's pricing experiment can be calculated using the formula:Demand Elasticity = Percentage change in quantity demanded / Percentage change in price.

Given that the users who received a 20% discount were observed to be 10% more likely to join as new members, we can assume that the percentage change in quantity demanded is 10%. However, we don't have information about the percentage change in price. Without that information, it is not possible to calculate the demand elasticity.

Regarding the optimality of the current price for Netflix, we cannot determine it based solely on the given information. Demand elasticity helps measure the responsiveness of quantity demanded to a change in price, which can guide pricing strategies. If the demand elasticity is elastic (greater than 1), a decrease in price can lead to a proportionally larger increase in quantity demanded.

However, without knowing the specific price, quantity demanded, and elasticity values, it is not possible to determine whether the current price is optimal for Netflix.

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Answer:

D

Step-by-step explanation:

4C1*5C1*6C1*8C1

=960

Answer:

x = 5

Step-by-step explanation:

4x - 5x + 1 = -4

4x - 5x = -4-1

-x = -5

x = 5

Hope this helped

Brainliest is Appreciated.

The population proportion of members who favor holding the charity event in the civil club is approximately 94.12%. To calculate the population proportion of members in the civil club who favor holding the charity event, follow these steps:

The population proportion of members who favor holding the charity event can be calculated by dividing the number of members who said yes by the total number of members in the club.Proportion = Number of members who said yes / Total number of members in the club
Step:1. Identify the total number of members in the civil club: 85 members.
Step:2. Identify the number of members who said yes to holding the charity event: 80 members.
Step:3. Divide the number of members who said yes by the total number of members: 80 / 85.
Step:4. Convert the result to a percentage by multiplying by 100: (80 / 85) x 100.
So, the population proportion of members who favor holding the charity event in the civil club is approximately (80 / 85) x 100 = 94.12%.

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The optimal values of x and y that minimize the objective-function x + y, subject to the given constraints, are x = 4 and y = 0.

We can find the corner points of the feasible region and evaluate the objective function at those points to determine the optimal solution.

Graph the constraints:

Start by graphing the inequalities:

x + y ≥ 7

5x + 2y ≥ 20

x ≥ 0

y ≥ 0

Plot the lines x + y = 7 and 5x + 2y = 20. To graph x + y = 7, plot two points that satisfy the equation, such as (0, 7) and (7, 0), and draw a line through them. To graph 5x + 2y = 20, plot two points such as (0, 10) and (4, 0), and draw a line through them.

Shade the region that satisfies the inequalities x ≥ 0 and y ≥ 0.

The feasible region will be the shaded region.

Identify the feasible region:

The feasible region is the shaded region where all the constraints are satisfied. In this case, the feasible region will be a polygon bounded by the lines x + y = 7, 5x + 2y = 20, x = 0, and y = 0.

Find the corner points:

Locate the intersection points of the lines and the axes within the feasible region. These are the corner points. In this case, we have the following corner points:

Intersection of x + y = 7 and x = 0: (0, 7)

Intersection of x + y = 7 and y = 0: (7, 0)

Intersection of 5x + 2y = 20 and x = 0: (0, 10)

Intersection of 5x + 2y = 20 and y = 0: (4, 0)

Evaluate the objective function:

Evaluate the objective function, which is x + y, at each corner point:

(0, 7): x + y = 0 + 7 = 7

(7, 0): x + y = 7 + 0 = 7

(0, 10): x + y = 0 + 10 = 10

(4, 0): x + y = 4 + 0 = 4

Determine the optimal solution:

The optimal solution is the corner point that minimizes the objective function (x + y). In this case, the optimal solution is (4, 0) because it has the smallest objective function value of 4.

Therefore, the optimal values of x and y that minimize the objective function x + y, subject to the given constraints, are x = 4 and y = 0.

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Answer:

72

Step-by-step explanation:

6x12 = 72

The possible minutes are 72.

Hope this helps!

-Liyah<3

Answer: could be any number above 72

Step-by-step explanation:

since it cant be 12x6 as longs as you keep to the 6 minutes a lap ratio but change the amount of laps she does

Answer:

No

Step-by-step explanation:

Technically, if you didn't turn anything in then no. If it is truly 80% of your final grade then not turning anything in would drop your grade to an F immediately. Although for a single project to be worth 80% of the entire year's grade seems off. Usually, finals and projects are a large percentage, but are more around the 25% range and not 80%. Otherwise, a student could not do anything the entire year and simply do the project and still pass with a B. That is why the grading system is not usually designed like this.

Answer:

Sin A = 5/13; tan C = 12/5

Step-by-step explanation:

Sin = opposite / hypotenuse. The opposite of A is 5, and the hypotenuse is 13, therefore Sin A = 5/13.

Tan = opposite / adjacent. The opposite of C is 12, and the adjacent is 5, so tan C = 12 / 5

Answer:

The answer is 8 days.

Step-by-step explanation:

36 divided by 6 is 6. So we do 48 divided by 6 which is 8. Both 36 and 48 can be divided by 6.

The largest possible volume of this box is 1687.5 cm³ with a base edge of 15 cm and a height of 7.5 cm

Let w = length of the base edge

h = height of the box

A box with a square bottom and an open top is to be made from 675 cm² of material. Hence,

675 cm² = w² + 4wh

4wh = 675 cm² - w²

h = (675 cm² - w²)/4w

The volume of the box is the product of the area of the square base and its height. Hence,

V = w²h

Substitute the expression of h to the equation of volume.

V = w²(675 cm² - w²)/4w

V = (675/4)w - (1/4)w³

To obtain the largest volume possible, the first derivative of the volume should be equal to zero.

V'(w) = 0

V = (675/4)w - (1/4)w³

675/4 - (3/4)w² = 0

Simplify and solve for the value of w.

675/4 - (3/4)w² = 0

(3/4)w² = 675/4

w² = 225

w = 15

length of the base edge = 15 cm

Solve for the value of h.

h = (675 cm² - w²)/4w

h = (675 cm² - (15)²)/4(15)

h = 7.5 cm

height of the box = 7.5 cm

Solve for the volume of the box.

V = w²h

V = (15 cm)²(7.5 cm)

V = 1687.5 cm³

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Answer:

C

Step-by-step explanation:

Let d = the distance from camp

d < 1.8 + 2.6 = 6.4    

d > 2.8

so 2.8 < d < 6.4,  therefore d could be 5.3

Answer:

top one

Step-by-step explanation:

You are not including -2 (else it would be a greater or equal sign) so the dot has to be empty. You can rule out the middle options.

At this point you either remember that "greater than" means "to the right of" or you pick a convenient number, ie, 0. see that your inequality is true (zero is greater than -2) and you pick the graph where the solid line includes 0.

Answer:28

Step-by-step explanation:

In the map, the distance between the office and the meeting location is 49 inches with the given scale factor.

You must specify the extent of the shape's enlargement when describing one.

The scale factor is the ratio of two dimensions such that one figure is large and another is small.

As per the given scale factor as,

1 inches = 2 miles

Multiply both sides by 49

49 inches = 98 miles

Hence "With the indicated scale factor, the distance on the map between the office and the meeting place is 49 inches".

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X = 2 (two) students study all three subjects (physics, geography, and economics). This can be found by adding the number of students who study only two subjects (6 + 4 + 5 = 15) and subtracting that from the total number of students who study at least one subject (55 - 20 = 35), since each of these 15 students who study two subjects is counted twice in the totals for each subject.

The number of students who study physics only is 10. This can be found by subtracting the number of students who study physics and at least one other subject (21 - 6 - 5 - 2 = 8) from the total number of students who study physics (21).

The number of students who study exactly one of the two subjects is 25. This can be found by adding the number of students who study each subject only (10 + 11 + 9) and subtracting that from the total number of students (55 - 20 = 35).

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Given:

Rate of simple interest = 10%

After one year, $980.10 pays off the loan.

To find:

Original amount of loan.

Solution:

We know that, the simple intersect is

\(I=\dfrac{P\times r\times t}{100}\)

Where, P is principal, r is rate of interest in percent and t is time in years.

Putting r=10 and t=1, we get

\(I=\dfrac{P\times 10\times 1}{100}\)

\(I=\dfrac{P}{10}\)

Now, the formula for amount is

\(A=P+I\)

where, P is principal and I is the interest.

Putting A=980.10 and \(I=\dfrac{P}{10}\), we get

\(980.10=P+\dfrac{P}{10}\)

\(980.10=\dfrac{10P+P}{10}\)

\(980.10\times 10=11P\)

\(9801=11P\)

Divide both sides by 11.

\(\dfrac{9801}{11}=P\)

\(891=P\)

Therefore, the original amount of loan is $891.

In standard nomenclature, a normally distributed dataset is represented as \(N(µ, σ^2)\), where µ is the mean and \(σ^2\)is the variance (square of the standard deviation).

A normally distributed phenomenon using standard nomenclature can be described as follows:

A dataset is said to be normally distributed if it follows a bell-shaped curve, which is symmetrical around the mean (µ) and characterized by its standard deviation (σ). In standard nomenclature, a normally distributed dataset is represented as \(N(µ, σ^2)\), where µ is the mean and \(σ^2\)is the variance (square of the standard deviation).

For example, if we consider the heights of adult males in a large population, we may observe that the distribution is normally distributed with a mean height (µ) of 175 cm and a standard deviation (σ) of 10 cm. In this case, the nomenclature for this normally distributed phenomenon would be N(175, 100), as the variance is \(10^2 = 100\).

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Answer:

I'm not sure but I believe its y=-3x+5

Step-by-step explanation:

You start off by finding slope which is -1/m. So 1/1/3=-3. From here you plug in the variables (1,2) and solving. The equation becomes y=-3x+b. From here plug in x and y. So, 2=-3+b. From here add 3 to both sides and you get 5=b. Then just put it together. y= -3x+5

Answer: The answer is (A) h(x) = (x - 1)^2 + 1.

Step-by-step explanation: We can use the vertex form of a quadratic function, which is given by:

h(x) = a(x - h)^2 + k

where (h, k) is the vertex of the parabola. To find this vertex, we can use the formula:

h = -b/2a

where a and b are coefficients of the quadratic function in standard form (ax^2 + bx + c). Once we find h, we can substitute it in the vertex form to find the value of k.

From the given table, we can see that the vertex of the parabola is at (1, 1) (since h(x) has its maximum value at x=3 and its minimum value at x=-1, which means the vertex is at x=1). Therefore, we have:

h = 1

k = h(1) = 1

Substituting these values in the vertex form, we get:

h(x) = a(x - 1)^2 + 1

To find the value of a, we can use any point from the table. Let's use the point (-2, -2):

-2 = a(-2 - 1)^2 + 1

-2 = 9a + 1

9a = -3

a = -1/3

Therefore, the equation of h(x) in vertex form is:

h(x) = (-1/3)(x - 1)^2 + 1

So the answer is (a) h(x) = (x - 1)^2 + 1.

5.00Answer:

Step-by-step explanation:

Answer:

-1 9/10

Step-by-step explanation:

-3/10q - 8/5q + 9 = 10

-3/10q - 16/10q + 9 = 10

-19/10q + 9 = 10

-19/10q = 1

-19 = 10q

-19/10 = 10q/10

-1  9/10 = q

Answer:

answer c p=2

Step-by-step explanation:

because its equal to five

Answer:

-4

Step-by-step explanation:

f(-2) Means the y value when x is -2. Just find x=-2 and trace it until it intersects with the blue line. Then get the y-value of the point