Ramona bought rulers that cost $2 each.

Write an equation to represent the cost (C) for buying (n) number of rulers.

Answer:

a. See down below

b. 116 degrees

Step-by-step explanation:

a. Since PA and PB are both tangents to the circle, they both form right angles with the radius of the circle. Also, since they originate from a common point, they have equal length when they reach the circle. Finally, they share side PO. Therefore, by SSA congruence, they are congruent triangles.

b. Since PD bisects the circle, it is divided into two 180 degree sections. If AOP=64, then so is POB. Since all of the remaining half of the circle is BOD, you can find its angle measure by subtracting the angle measure of AOP from 180. 180-64=116 degrees. Hope this helps!

As x approaches positive infinity, the function r(x) approaches negative infinity.

What is a function approaches infinity?

In general, a fractional function will have an infinite limit if the limit of the denominator is zero and the limit of the numerator is not zero.

As x approaches positive infinity, the term x^3 becomes dominant, and the value of the function p(x) approaches positive infinity as well.

In general, when the highest-order term in a polynomial function has a positive coefficient, the function will approach positive infinity as x approaches positive infinity.

Similarly, if the highest-order term has a negative coefficient, the function will approach negative infinity as x approaches positive infinity.

For example, consider the function q(x) = 3x^3 - 2x^2 + x - 5. As x approaches positive infinity, the term 3x^3 becomes dominant, and the function q(x) approaches positive infinity. On the other hand, if we consider the function r(x) = -3x^3 + 2x^2 - x + 5, the highest-order term is -3x^3, which has a negative coefficient.

Therefore, as x approaches positive infinity, the function r(x) approaches negative infinity.

To learn more about the function approaches infinity visit,

https://brainly.com/question/26385044

#SPJ1

Approximately $200 Louisa would have paid over the course of the year. So the option C is correct.

Simple interest is a type of interest where the interest earned or paid is calculated as a percentage of the principal only. This means that the amount of interest is the same each year and does not compound.

The amount of interest accrued in simple interest is given by:

E = Pit

P represents the balance, I is the interest rate, and t is the time in this equation.

For this problem:

Balance of $1,000,

So APR of 19.99% for 1 year.

She will pay the following sum:

$200 is rounded up, and the appropriate response is:

She would have paid interest charges of $200.

So the option C is correct.

To learn more about Simple interest link is here

brainly.com/question/25845758

#SPJ4

Answer:

7.987

Step-by-step explanation:

  1 4

×     5 7 0 5

+         7 0

+ 0 0 0 0 0  

+     9 8    

+   7 0      

=  7 9 8 7 0

Rewrite the product with 4 total decimal places.

Answer = 7.9870

Therefore:

0.14 × 57.05 = 7.9870

The hypotheses for the test are H₀: σ₁² = σ₂² and H₁: σ₁² ≠ σ₂². This is a two-tailed test to assess if there is a difference in the standard deviations of sound levels between the areas designated as "casualty doors" and operating theaters. The claim being investigated is whether or not there is a difference in the standard deviations.

The hypotheses for the test are:

H₀: σ₁² = σ₂² (There is no difference in the standard deviations of the sound levels between the areas designated as "casualty doors" and operating theaters.)

H₁: σ₁² ≠ σ₂² (There is a difference in the standard deviations of the sound levels between the areas designated as "casualty doors" and operating theaters.)

This hypothesis test is a two-tailed test because the alternative hypothesis is not specifying a direction of difference.

To substantiate the claim that there is a difference in the standard deviations, we will conduct a two-sample F-test at a significance level of 0.10, comparing the variances of the two groups.

To know more about hypothesis test refer here:

https://brainly.com/question/29996729#

#SPJ11

The system of linear equations representing lines 1 and 2 is y = x and y = -1/2x + 3

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

The graph

A linear equation is represented as

y = mx + c

Using the points, we have

Line 1

y = x

For line 2, we have

y = mx + 3

Next, we have

6m + 3 = 0

This gives

m = -1/2

So, we have

y = -1/2x + 3

Hence, the system of linear equations is y = x and y = -1/2x + 3

Read more about equation at

https://brainly.com/question/32492977

#SPJ1

The correct statement is that the value of n that make the relationship a function are any value except 1, 3, or 2

A function is a relationship that maps the elements of a set A to the elements of a set B, such that each element of A is mapped to exactly one element of the set B.

The ordered pair of known values are a function as the elements of the input variable are all different and the element of the output variable are also different, which indicates a 1 to 1 relationship.

The known elements of the set A in the question are; 2, 6, and 4

The elements of the set A are known as the domain of the function.

The known element of the set B are 8, 0, and 2

The fourth ordered pair (2·n, n), has a value similar to the pair (4, 2)

To prevent the presence of the elements 2,. 6, and 4, being assigned to other elements apart from 8, 0, and 2, the value of 2·n can be any value except 2, 6, 4

Therefore;

n can be any value except 2/2 = 1, 6/2 = 3, or 4/2 = 2

The correct statement is therefore;

n can be any value except 1, 3, or 2

Learn more about the domain of a function here:

https://brainly.com/question/20385191

#SPJ1

This expression represents the total amount of water leaked between time t = a and t = b.

On a routine inspection of the water system of Minneapolis, Alfonso discovers a pipe leaking at the rate of L(t) = 0.5t + 2 liters/hour, t hours after the leak begins.

The given information provides us with a leak rate function L(t) that describes the number of liters of water leaked per hour, depending on the time t in hours since the leak began. The function L(t) is defined as 0.5t + 2 liters/hour.

To understand the leak over a specific duration, we can integrate the leak rate function. The integral of L(t) with respect to t will give us the total amount of water leaked during that duration.

Let's say we want to determine the total amount of water leaked between time t = a and t = b, where a and b represent the start and end times, respectively. The integral of L(t) over this interval will be:

∫[a to b] (0.5t + 2) dt

To find the integral, we can apply the rules of integration:

∫[a to b] (0.5t + 2) dt = [0.25t^2 + 2t] from a to b

Evaluating the integral from a to b gives us:

[0.25b^2 + 2b] - [0.25a^2 + 2a]

This expression represents the total amount of water leaked between time t = a and t = b.

Therefore, using the leak rate function L(t) = 0.5t + 2 liters/hour, we can calculate the total amount of water leaked over a specific duration by evaluating the integral of the function within that time interval.

Learn more about expression here

https://brainly.com/question/1859113

#SPJ11

4^3

you can write it like 4 × 4 × 4

you can also call it "Four to the Third power". or "Four cubed".

Answer:

It would take 5 turns

Step-by-step explanation:

a) p1 - p2 includes 0, this implies that there is no significant difference between the two population proportions.

b) p1 is significantly greater than population proportion p2.

c) p1 is significantly less than population proportion p2.

d) With replacement and Without replacement.

a) If the confidence interval for the difference in population proportions p1 - p2 includes 0, this implies that there is no significant difference between the two proportions, and any observed difference could be due to random chance.

b) If all the values of a confidence interval for two population proportions are positive, this implies that population proportion p1 is significantly greater than population proportion p2.

c) If all the values of a confidence interval for two population proportions are negative, this implies that population proportion p1 is significantly less than population proportion p2.

d) Sampling with replacement is when an item is selected, recorded, and then returned to the population before the next item is selected. Sampling without replacement is when an item is selected, recorded, and not returned to the population before the next item is selected. In the case of selecting two names from 10 notecards:

- With replacement: Pick a notecard, write down the name, return it to the pile, shuffle, and pick another notecard (it is possible to select the same name twice).
- Without replacement: Pick a notecard, write down the name, set it aside, and then pick another notecard from the remaining nine (each student can only be selected once).

Know more about the population proportions

https://brainly.com/question/24232216

#SPJ11

Answer:

18

Step-by-step explanation:

Each interior angle of a regular pentagon is 108 degrees. So Angle AED is 108 degrees. Since Angle AEF is a straight line (180 degrees), Angle FED is 72. This is because 180-108 = 72. Now, since a triangle has a total of 180 degrees, we add 72 and 90, because those are the 2 degrees we have calculated. This gives us a total of 162. Now, we subtract 162 from 180 to find out the degree of Angle FDE. This is 18. So our final answer is 18.

Sidenote: I hope this answer helps!

The properties of a pentagon and the given right triangle formed by

segments EF and FD give the measure of ∠FDE.

Response:

The given parameters are;

A, E, F are points on the same line.

ABCDE is a regular pentagon

∠EFD = 90°

Required:

The measure of ∠FDE

Solution:

The points A and E are adjacent points in the pentagon, ABCDE

Therefore;

line AEF is an extension of line side AE to F

Which gives;

∠EFD = 90°, therefore, ΔEFD is a right triangle, from which we have;

The sum of the acute angles of a right triangle = 90°

Therefore;

∠DEF + ∠FDE = 90°

Which gives;

72° + ∠FDE = 90°

∠FDE = 90° - 72° = 18°

Learn more about the properties of a pentagon here:

https://brainly.com/question/15392368

The equation that could be solved to get the same answer is B 5(x+23)=44.5

An equation is an expression that shows the relationship between two or more numbers and variables.

A mathematical equation is a statement with two equal sides and an equal sign in between. An equation is, for instance, 4 + 6 = 10. Both 4 + 6 and 10 can be seen on the left and right sides of the equal sign, respectively.

WE are given that Julia correctly solved a math problem by first dividing 44.5 by 5, then subtracting 23 from the answer.

First;

44.5 /5 = 8.9

Then subtracting 23 from it

8.9 - 23

= 14.1

Therefore, we can write as 5(x+23)=44.5

Learn more about equations here;

https://brainly.com/question/25180086

#SPJ1

Regarding the exponential function y = 3(2)^x, we have that:

An exponential function is defined as follows:

y = ab^(x/n).

In which the parameters are defined as follows:

The function for this problem is given as follows:

y = 3(2)^x.

Hence the parameters are given as follows:

At x = 3, the numeric value of the function is obtained as follows:

y = 3 x 2^3

y = 3 x 8

y = 24.

More can be learned about exponential functions at https://brainly.com/question/30113628

#SPJ1

The calculated height of the kite is 10.61 feet

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

Length of the string = 15 feet

Angle with the ground = 45 degrees

Since the string is a straight line, we have

Height of the kite = Length of the string/√2

This is because the angle is 45 degrees

substitute the known values in the above equation, so, we have the following representation

Height of the kite = 15/√2

Evaluate

Height of the kite = 10.61

Hence, the height of the kite is 10.61 feet

Read more about right triangles at

https://brainly.com/question/2437195

#SPJ1

The correct statement is: A. P(E) = 0.3. The probability of event E, denoted as P(E), is equal to 0.3.

To determine the correct answer, let's analyze the given information.

We know that events D and E are independent, which means that the occurrence of one event does not affect the probability of the other event happening.

Given:

P(D) = 0.6

P(D and E) = 0.18

Since events D and E are independent, the probability of both events occurring (P(D and E)) can be calculated as the product of their individual probabilities:

P(D and E) = P(D) * P(E)

Substituting the given values:

0.18 = 0.6 * P(E)

To find the value of P(E), we can rearrange the equation:

P(E) = 0.18 / 0.6

P(E) = 0.3

Therefore, the correct answer is A. P(E) = 0.3.

Learn more about probability here: https://brainly.com/question/32117953

#SPJ11

To estimate the number of new users that would be added during time period 7, we can use the Bass diffusion model, which is commonly used to model the adoption of new products or technologies.

The Bass diffusion model is given by the formula:

\(\[N(t) = \frac{{p \cdot q}}{{q + (p/q) \cdot e^{-((p+q) \cdot t)}}}\]\)

where:

- N(t) represents the cumulative number of adopters at time \(t\).

- p is the innovation parameter, representing the coefficient of innovation.

- q is the imitation parameter, representing the coefficient of imitation.

- e is the base of the natural logarithm.

Given a population size of 67 million, an innovation parameter of 0.005, and an imitation parameter of 0.84 for Color TV, we can substitute these values into the Bass diffusion model and calculate the number of new users added during time period 7.

\(\[N(7) - N(6) = \frac{{p \cdot q}}{{q + (p/q) \cdot e^{-((p+q) \cdot 7)}}} - \frac{{p \cdot q}}{{q + (p/q) \cdot e^{-((p+q) \cdot 6)}}}\]\)

Substituting the given values into the equation:

\(\[N(7) - N(6) = \frac{{0.005 \cdot 0.84}}{{0.84 + (0.005/0.84) \cdot e^{-((0.005+0.84) \cdot 7)}}} - \frac{{0.005 \cdot 0.84}}{{0.84 + (0.005/0.84) \cdot e^{-((0.005+0.84) \cdot 6)}}}\]\)

Evaluating the expression will give us the estimated number of new users added during time period 7.

In LaTeX, the solution can be represented as:

\(\[N(7) - N(6) = \frac{{0.005 \cdot 0.84}}{{0.84 + (0.005/0.84) \cdot e^{-((0.005+0.84) \cdot 7)}}} - \frac{{0.005 \cdot 0.84}}{{0.84 + (0.005/0.84) \cdot e^{-((0.005+0.84) \cdot 6)}}}\]\)

After evaluating this expression, you will obtain the estimated number of new users added during time period 7.

To know more about LaTex visit-

brainly.com/question/18882901

#SPJ11

Answer:

41.57 in²

Step-by-step explanation:

Answer:

41.57 in² round it up and it's 42

Step-by-step explanation:

I just did it

Brainliest pls

To find the domain of an expression, we need to identify all the values of the variable that make the expression undefined.

1. The expression 1/x is undefined when x = 0 because division by zero is undefined. Therefore, the domain of 1/x is all real numbers except x = 0. In interval notation, we can write the domain as (-∞, 0) U (0, ∞).

2. The expression 1/(x+5) is undefined when x+5 = 0, which means x = -5. Therefore, the domain of 1/(x+5) is all real numbers except x = -5. In interval notation, we can write the domain as (-∞, -5) U (-5, ∞).

3. The expression (x+5)/(x+5) is undefined when x+5 = 0, which means x = -5. Therefore, the domain of (x+5)/(x+5) is all real numbers except x = -5. In interval notation, we can write the domain as (-∞, -5) U (-5, ∞).

4. The expression x*x/x is equivalent to x, except when x = 0, where division by zero is undefined. Therefore, the domain of x*x/x is all real numbers except x = 0. In interval notation, we can write the domain as (-∞, 0) U (0, ∞).

5. The expression 7/(x-2) is undefined when x-2 = 0, which means x = 2. Therefore, the domain of 7/(x-2) is all real numbers except x = 2. In interval notation, we can write the domain as (-∞, 2) U (2, ∞).

Therefore, the domain of each expression is:

1. 1/x: (-∞, 0) U (0, ∞)

2. 1/(x+5): (-∞, -5) U (-5, ∞)

3. (x+5)/(x+5): (-∞, -5) U (-5, ∞)

4. x*x/x: (-∞, 0) U (0, ∞)

5. 7/(x-2): (-∞, 2) U (2, ∞)

The required results are:

1. The domain of 1/x is R - {0}, where R represents the set of all real numbers excluding 0.

2. The domain of 1/(x + 5) is R - {-5}.

3. The domain of (x + 5)/(x + 5) is R - {-5}.

4. The domain of x*x/x is R (the set of all real numbers).

5. The domain of 7/(x - 2) is R - {2}.

Given that the expressions are:

1. 1/x

2. 1/x+5

3. x+5/x+5

4. x*x/x

5. 7/x-2

To find the domain of each expression, we need to identify any values of x that would result in division by zero or undefined expressions. Let's examine each expression step by step:

1. For the expression 1/x, the domain consists of all real numbers except x = 0. Division by zero is undefined, so x cannot be 0.

2. In the expression 1/(x + 5), the domain includes all real numbers except x = -5. Similar to the previous case, division by zero occurs if x is equal to -5.

3. For the expression (x + 5)/(x + 5), the domain includes all real numbers except x = -5. Here, we have a common factor of (x + 5) in both the numerator and denominator. As before, division by zero happens if x is -5.

4. The expression x*x/x simplifies to just x. Thus, the domain of this expression is all real numbers. There are no restrictions or values that would result in division by zero.

5. In the expression 7/(x - 2), the domain consists of all real numbers except x = 2. Division by zero occurs when x equals 2, so it is not included in the domain.

Hence, the required results are:

1. The domain of 1/x is R - {0}, where R represents the set of all real numbers excluding 0.

2. The domain of 1/(x + 5) is R - {-5}.

3. The domain of (x + 5)/(x + 5) is R - {-5}.

4. The domain of x*x/x is R (the set of all real numbers).

5. The domain of 7/(x - 2) is R - {2}.

Learn more about domains of expressions here:

https://brainly.com/question/14023117

#SPJ6

Answer:

3.6

Step-by-step explanation:

The absolute value function always gives a positive result, that is

| - a | = | a | = a , then

| - 3.6 | = 3.6

The example that is not an example of instrumental (operant) conditioning is option a.

When Raluca's teacher praises her in class for her fine oral description of a mathematical problem, and Raluca becomes embarrassed and vows never to act so smart in front of her friends again.

Instrumental conditioning, also known as operant conditioning, involves the association between a behavior and its consequences, which in turn influences the likelihood of that behavior recurring in the future. In instrumental conditioning, behaviors are strengthened or weakened based on the consequences they produce.

Option b, c, and d all demonstrate instrumental conditioning. In option b, Diallo changes the time of day he does his homework and finds that he is doing better, so he continues to do his homework at that new time. This shows that the behavior of doing homework at the new time is reinforced by the positive consequence of doing better.

In option c, Danny tells a funny joke, and his classmates' laughter serves as a positive consequence that reinforces his behavior of telling jokes. This leads to an increase in the behavior of telling jokes, and Danny becomes the class clown.

In option d, Michelle discovers that she can leave her mathematics class early by complaining about a stomachache. By receiving the positive consequence of leaving early, her behavior of complaining about a stomachache is reinforced, leading to an increase in the occurrence of this behavior.

However, in option a, Raluca's embarrassment and her decision to not act smart in front of her friends again are not consequences that reinforce or strengthen her behavior. Instead, her embarrassment leads to the avoidance of the behavior, suggesting that this example is not an illustration of instrumental conditioning.

Learn more about behavior here: brainly.com/question/32640078

When point P is on line segment OQ, and the length of OQ = 2x, OP = x and PQ = 10 then the length of the line OQ is 20 units

Point P is on line segment OQ

The length of the line OQ = The length of the line PO + The length of the line PQ

The length of the line OQ = 2x

The length of the line OP = x

The length of the line PQ = 10

Substitute the values in the equation

2x = x+10

2x - x = 10

x = 10

Then the length of OQ is

2x = 2×10

= 20 units

Hence, when point P is on line segment OQ, and the length of OQ = 2x, OP = x and PQ = 10 then the length of the line OQ is 20 units

Learn more about length here

brainly.com/question/17281779

#SPJ1

Answer:

45

Step-by-step explanation:

first caseworker = 15 active cases

second caseworker = 2 x number of active cases

                                 = 2 x 15

                                 = 30 active cases

∴ number of active cases the office have = 15 + 30

                                                                     = 45

The required number of the total active case in the office is 45 cases.

Given that,
Two caseworkers share an office. The first caseworker has fifteen active cases. The second caseworker has twice the number of active cases, how many active cases the office have is to be determined.

In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,

Here,
Active cases, that first case worker have = 15
Active cases, that second case worker has =  2 (15) = 30
Total number of the active cases = 15 + 30 = 45 cases,

Thus, the required number of the total active case in the office is 45 cases.

Learn more about arithmetic here:

https://brainly.com/question/11424589

#SPJ5

Answer:

C. No; two range values exist for domain value –2.

Step-by-step explanation:

The relation is not a function.

The -2 in the domain repeats

Since  

x

=

−

2

produces  

y

=

0

and  

y

=

6

, the relation  

(

−

8

,

−

4

)

,

(

−

2

,

0

)

,

(

1

,

3

)

,

(

−

2

,

6

)

is not a function.

The relation is not a function.

It should be noted that 16 divided by 2 2/3 is 6.

It should be noted that the information is to compute 16 divided by 2 2/3.

Therefore, this will be:

16 ÷ 2 2/3

= 16 ÷ 8/3

= 16 × 3/8

= 2 × 3

= 6

Therefore, the value is 6.

Learn more about fractions on:

brainly.com/question/17220365

#SPJ1

Answer:

0,10

9,7

10,6

3,10

7,8

1,4

10,8

0,3

0,5

7,6

Step-by-step explanation:

Answer:

-2(6x-y)

-2(6×-3-4)

-2(-18-4)

-2(-22)

44

hope this helps you

Answer:

It is negative 44(:

Step-by-step explanation: I just got it right

Answer:

-3.47

Step-by-step explanation:

Answer:

45

Step-by-step explanation: