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The table below shows Addison's novel collection on her bookshelf.

Type of Novel Number of Books
Nonfiction 2
Mystery 4
Fiction 5


What is the ratio of fiction novels to all novels?
11 to 5
2:5
5 over 11
5 to 2

Answer:

-9

Step-by-step explanation:

The answer is -9 since it is seeking for the point at x=-3.

Answer:

Step-by-step explanation:

To find the equation for the nth term in the sequence, we need to determine the pattern or rule that generates the sequence.

From the given information, we can see that the sequence is not arithmetic because the differences between consecutive terms are not constant. Instead, the sequence appears to be quadratic because the second difference between consecutive terms is constant.

Using the given values of a₁, a₃, and a₅, we can find the first few differences:

a₃ - a₁ = 4 - (-6) = 10

a₅ - a₃ = 14 - 4 = 10

So, the first difference is 10, which indicates a linear term in the equation for an. We can now use the given value of a₁ and the first difference to find the constant term in the quadratic equation. Let d be the common difference, then we have:

a₂ = a₁ + d = -6 + 10 = 4

a₄ = a₃ + d = 4 + 10 = 14

a₆ = a₅ + d = 14 + 10 = 24 - 1

a₇ = a₆ + d = 24 - 1 + 10 = 33

Now, we can find the second difference between consecutive terms:

a₄ - 2a₃ + a₂ = 14 - 2(4) + (-6) = 0

a₆ - 2a₅ + a₄ = 19 - 2(14) + 4 = -5

a₇ - 2a₆ + a₅ = 33 - 2(19) + 14 = 9

Since the second difference is constant (-5), this confirms that the sequence has a quadratic term in its equation. Let's assume the equation for the nth term is:

an = an² + bn + c

Substituting the values we know, we get three equations:

a₁ = a₁² + b₁ + c --> -6 = c

a₃ = a₃² + b₃ + c --> 4 = 9a + b + c

a₅ = a₅² + b₅ + c --> 14 = 25a + 5b + c

Solving this system of equations, we get:

a = 1/2, b = 19/2, and c = -6

Therefore, the equation for the nth term in the sequence is:

an = (1/2)n² + (19/2)n - 6.

Answer:

10

Step-by-step explanation:

Given expression:

                   20 - \(\frac{15 + 3(5)^{2} }{5^{2} - 4^{2} }\)

     To solve this problem, we use the order of operation:

P - Parentheses

E - exponents

M - multiplication

D - division

A - Addition

S - Subtraction

  Now solve the parentheses first;

     =   20 - \(\frac{15 + 3x 25}{5^{2} - 4^{2} }\)

     =    20 - \(\frac{15 + 75}{5^{2} - 4^{2} }\)

     Now solve the exponents:

    = 20 - \(\frac{15 + 75}{25 - 16}\)

    Now solve the division:

     = 20 - \(\frac{90}{9}\)

     = 20 - 10

     = 10

Using the given formula with the value of S = 176.4 in², let's calculate the value of r:

So the ball radius is 3.7 inches.

The correct statement is: OD. The salesmen of company A generally sold more units than the salesmen of company B.

To compare the data, let's examine the information provided:

For Company A, the number of units sold by the salesmen are: 6, 8, 10, 12, 14, 16.

For Company B, the number of units sold by the salesmen are: 4, 6, 8, 10, 12, 14, 16.

To determine which statement correctly compares the data, we can analyze the information.

If we look at the numbers, we can see that both Company A and Company B have the same range of numbers, starting from 6 and ending at 16. However, Company A does not have a salesman who sold 4 units, while Company B does not have a salesman who sold 10 units.

To compare the means of the two companies, we can calculate them:

The mean for Company A is: (6 + 8 + 10 + 12 + 14 + 16) / 6 = 66 / 6 = 11 units.

The mean for Company B is: (4 + 6 + 8 + 10 + 12 + 14 + 16) / 7 = 70 / 7 = 10 units.

From the calculations, we can conclude that the mean number of units sold by the salesmen of Company A (11 units) is greater than the mean number of units sold by the salesmen of Company B (10 units).

Therefore, the correct statement is:

OD. The salesmen of company A generally sold more units than the salesmen of company B.

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Answer:

Step-by-step explanation:

?

Answer:

square roots of 25 =5

Step-by-step explanation:

5×5= 25

q(x=f(x-h+k

here, h=0, k=-8, so

to translate f(x) 8 units down, we have

q(x)=f(x-0)-8

=2x^2-3x+5-8

=2x^2-3x-3

The government agency as a monopolist will produce and sell internet connections up to the point where the marginal cost is 1/2. The price will be set at 1, given the perfectly elastic demand function.

In the scenario where a government agency has a monopoly in the provision of internet connections and the inverse demand function is given by p = 1, we can analyze the market equilibrium and the implications for pricing and quantity.

The inverse demand function, p = 1, implies that the market demand for internet connections is perfectly elastic, meaning consumers are willing to purchase any quantity of internet connections at a price of 1. As a monopolist, the government agency has control over the supply of internet connections and can set the price to maximize its profits.

To determine the optimal pricing and quantity, the monopolist needs to consider the marginal cost of providing internet connections. In this case, the marginal cost is given as 1/2. The monopolist will aim to maximize its profits by equating marginal cost with marginal revenue.

Since the inverse demand function is p = 1, the revenue received by the monopolist for each unit sold is also 1. Therefore, the marginal revenue is also 1. The monopolist will produce up to the point where marginal cost equals marginal revenue, which in this case is 1/2.

As a result, the monopolist will produce and sell internet connections up to the quantity where the marginal cost is 1/2. The monopolist will set the price at 1 since consumers are willing to pay that price.

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Answer:

Step-by-step explanation:

3x-11  = x+9

2x = 20

x = 10

Answer:

x=10

Step-by-step explanation:

743 general admission tickets and 304 reserved seat tickets were sold.

Let's solve this problem using a system of equations. Let's assume that x represents the number of general admission tickets sold and y represents the number of reserved seat tickets sold.

According to the given information, we have two equations:

Equation 1: The total number of tickets sold is 1047.

x + y = 1047

Equation 2: The total revenue from ticket sales is $4576.50.

3.50x + 6.50y = 4576.50

Now, we can solve this system of equations.

We can start by multiplying Equation 1 by 3.50 to eliminate x:

\(3.50(x + y) = 3.50(1047)\\3.50x + 3.50y = 3664.50\)

Now we have the following system of equations:

\(3.50x + 3.50y = 3664.50 (Equation 3)\\3.50x + 6.50y = 4576.50 (Equation 2)\)

By subtracting Equation 3 from Equation 2, we can eliminate x:

\((3.50x + 6.50y) - (3.50x + 3.50y) = 4576.50 - 3664.50\\3.00y = 912.00\)

Dividing both sides of the equation by 3.00, we find:

y = 304

Now, substitute the value of y into Equation 1 to find x:

x + 304 = 1047

x = 743

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Answer:

The contractor made an error in calculating the unit price of the padded work gloves.

Step-by-step explanation:

To find the unit price of an item, we need to divide the total cost of the item by the number of units purchased. In this case, the contractor purchased 7 dozen pair of padded work gloves, which is equal to 7 x 12 = 84 pair of gloves. Therefore, the unit price of the padded work gloves is $103.32 / 84 pair = $1.23 per pair.

The contractor incorrectly calculated the unit price as $14.76, which is an error of $14.76 - $1.23 = $13.53. This error occurred because the contractor did not correctly take into account the number of units purchased when calculating the unit price.

Hope this helps:)

The points on the scatter plot show the different predictions. The straight line drawn is called the line of regression.

Errors in prediction for each point can be determined by drawing a vertical line from the point to the line of regression. As seen in the image, all of the prediction points are found on the line except for points (14,25) and (16,25). Therefore, these points contain errors in prediction.

The graph that represent this data using the points is added as an attachment

From the question, we have the following parameters that can be used in our computation:

The x and y values

Where

x = stars

y = price

To determine the graph that represent the data, we enter the x and y values in a graphing tool to create the graph

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Step-by-step explanation:

we have diameter and volume

and volume function is : v=(3.14)(r^2)h

so : h = 196/112

Fourth prism, first prism, second prism and fourth prism is order from least volume to greatest.

a three dimensional shape can be defined as a solid figure or an object or shape that has three dimensions—length, width, and height.

The volume of first prism with sides 2, 1.5 and 3.2

Volume=2×1.5×3.2

=9.6 in³

The volume of second prism with sides 1.5, 1.5 and 6

Volume=1.5×1.5×6

=13.5 in³

The volume of third prism with sides 2, 5/2 and 7/2

Volume=2×2.5×3.5

=17.5 in³

The volume of fourth prism with sides 1/2, 1/2 and 1/2

Volume=0.5×0.5×0.5

=0.125 in³

Hence fourth prism, first prism, second prism and fourth prism is order from least volume to greatest.

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Answer:

39 pages

Step-by-step explanation:

If 13 pages are read in 1/3 of an hour, we need to multiply 13 by 3 to get the number of pages read in 1 hour. 13*3 = 39 pages

Answer:

its m=185t

Step-by-step explanation:

because if you divide

An equation which represent the total meters (m) that Sam runs in t minutes is: B. m = 185t.

Mathematically, a proportional relationship can be represented with the following equation or mathematical expression:

m = kt

Where:

Next, we would determine the constant of proportionality (k) for each candy as follows:

From Jacob's running, we have the following:

Constant of proportionality (k) = t/m

Constant of proportionality (k) = 400/2

Constant of proportionality (k) = 200

Since Sam runs 15 meters less each minute than Jacob does, an equation that represent the total meters (m) that he runs in t minutes is given by:

m = (200 - 15)t

m = 185t

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The value of q is 0.35.

The value of p is 0.16.

The value of r is 0.27.

The value of P(A given NOT B) is approximately 0.4211.

To calculate the values of p, q, and r, we can use the information provided in the Venn diagram and the probabilities of events A and B.

Given:

P(A) = 0.43

P(B) = 0.62

P(A∩B) = 0.27

Calculating the value of p:

The value of p represents the probability of event A occurring without event B. In the Venn diagram, p corresponds to the region inside A but outside B.

We can calculate p by subtracting the probability of the intersection of A and B from the probability of A:

p = P(A) - P(A∩B)

= 0.43 - 0.27

= 0.16

Therefore, the value of p is 0.16.

Calculating the value of q:

The value of q represents the probability of event B occurring without event A. In the Venn diagram, q corresponds to the region inside B but outside A.

We can calculate q by subtracting the probability of the intersection of A and B from the probability of B:

q = P(B) - P(A∩B)

= 0.62 - 0.27

= 0.35

Therefore, the value of q is 0.35.

Calculating the value of r:

The value of r represents the probability of both event A and event B occurring. In the Venn diagram, r corresponds to the intersection of A and B.

We are given that P(A∩B) = 0.27, so the value of r is 0.27.

Therefore, the value of r is 0.27.

Finding the value of P(A given NOT B):

P(A given NOT B) represents the probability of event A occurring given that event B does not occur. In other words, it represents the probability of A happening when B is not happening.

To calculate this, we need to find the probability of A without B and divide it by the probability of NOT B.

P(A given NOT B) = P(A∩(NOT B)) / P(NOT B)

We can calculate the value of P(A given NOT B) using the provided probabilities:

P(A given NOT B) = P(A) - P(A∩B) / (1 - P(B))

= 0.43 - 0.27 / (1 - 0.62)

= 0.16 / 0.38

≈ 0.4211

Therefore, the value of P(A given NOT B) is approximately 0.4211.

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Answer:1.5

Step-by-step explanation:

Y=1/2 of x

Answer:

The answer is answer choice E.

Step-by-step explanation:

Complementary angles add up to 90 degrees, while supplementary angles add up to 180 degrees

Answer:

B. 0.220

Step-by-step explanation:

The table is presented properly below:

\(\left|\begin{array}{c|cccc|c}$toppings&$Freshman&$Sophomore&$Junior&$Senior&$Total\\---&---&---&---&---&---\\$Cheese&11&15&24&28&78\\$Meat&23&28&15&11&77\\$Veggie&15&11&23&28&77\\---&---&---&---&---&---\\$Total&&&&&232\end{array}\right|\)

Number of junior students who prefers veggies =23

Number of senior students who prefers veggies =28

Total =23+28=51

Therefore, the probability that a randomly selected student who is a junior or senior prefers veggie

=51/232

=0.220 (to the nearest thousandth)

The correct option is B.

Answer:

Step-by-step explanation:

Arc \(RMP\) has a measure of \(360^{\circ}-120^{\circ}=\boxed{240^{\circ}}\).

Using the tangent-tangent theorem,

\(m\angle RQP=\frac{240^{\circ}-120^{\circ}}{2}=\boxed{60^{\circ}}\)

Answer:

1/2 or 0.5

Step-by-step explanation:

Answer:

10.6. (3s.f.)

Step-by-step explanation:

Answer:

Area of triangle = 20 square yards

Step-by-step explanation:

The height of triangle = 5 yd

The base of triangle = 8 yd

We need to find area of triangle.

The formula used is: \(Area\: of\: triangle=\frac{1}{2}\times base \times height\)

Putting values and finding area

\(Area\: of\: triangle=\frac{1}{2}\times base \times height\\Area\: of\: triangle=\frac{1}{2}\times 8 \times 5\\Area\: of\: triangle=4 \times 5\\Area\: of\: triangle=20\:square\:yards\)

So, Area of triangle = 20 square yards

9514 1404 393

Answer:

Step-by-step explanation:

1) The cost per can is the cost divided by the number of cans.

  $4.44/(12 cans) = $0.37/can . . . . . unit cost for 12-pack

  $7.80/(20 cans) = $0.39/can . . . . unit cost for 20-pack

The 12-pack has a lower unit cost per can. Mitch should choose the 12-pack.

__

2) The difference in cost per can is ...

  $0.39 -0.37 = $0.02 . . . per can

Answer:

The number is 2

Step-by-step explanation:

(22+2)/2=12

6*2=12

May you please give brainliest?

The measure of angle A is 63°, the measure of side b is 22.34 feet and the measure of side a is 37.57 feet.

From the given triangle ABC,

∠A+∠B+∠C=180° (Angle sum property of a triangle)

∠A+32°+85°=180°

∠A+117°=180°

∠A=180°-117°

∠A=63°

We know that, the formula for sine rule is sinA/a=sinB/b=sinC/c

Here, sin63°/a = sin32°/b = sin85°/42

sin63°/a = sin32°/b = 0.9961/42

sin32°/b = 0.9961/42 and sin63°/a = 0.9961/42

0.5299/b = 0.9961/42

0.9961b=22.2558

b=22.2558/0.9961

b=22.34 feet

sin63°/a = 0.9961/42

0.8910/a = 0.9961/42

0.9961a=37.422

a=37.422/0.9961

a=37.57 feet

Therefore, the measure of angle A is 63°, the measure of side b is 22.34 feet and the measure of side a is 37.57 feet.

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Answer:

C

Step-by-step explanation:

Lorraine is typing at 8 words per minute, while Bea is doing 9 per minute

Answer: B :  Lorraine’s unit rate is 1 more word per minute than Bea’s unit rate.

Step-by-step explanation:

I took the test, B) it said It was correct