5 А 18 cm 7 cm •C B Calculate the size of angle ACB.
​

The set B∪C is the set of all tax returns showing business loss or filed in 2009.

The set B∪C represents the union of sets B and C, which includes all tax returns that show business loss or were filed in 2009.

This means that the set B∪C may include tax returns that show business loss but were not filed in 2009, and tax returns filed in 2009 that do not show business loss.

For example, a tax return filed in 2009 that shows no business loss would be included in set C but not in set B. On the other hand, a tax return that shows business loss but was filed in a year other than 2009 would be included in set B but not in set C.

Learn more about sets and unions

brainly.com/question/29055360

#SPJ11

Answer:

$44,000 is the total budget

The number of homes in 2011 is 44,313

Given that 57 homes are built each year, in 2002, there were 43,800 homes, then the next years have the number of homes as follows:

2003: 43,800 + 57

2004: 43,800 + 57 + 57

2005: 43,800 + 57 + 57 + 57

This goes on until 43,800 + 57n

where n is the number of years after 2002.

2011 is 9 years after 2002, so the number of homes will be:

43,800 + 57(9)

= 43,800 + 513

= 44,313

Answer:

-6/4

Step-by-step explanation:

equivalent, that means something that is equal to so if you break -6/4 to the lowest you get -6/4

The probability that a friend will randomly choose an integer between 1 and 10, inclusive, that is more than 8 or odd is 7/10 or 0.7.

To see why, we can count the number of integers between 1 and 10 that are more than 8 or odd. The integers more than 8 are 9 and 10, and the odd integers are 1, 3, 5, 7, and 9.

The set of integers that satisfy either condition is {1, 3, 5, 7, 9, 10}, which has a total of 6 elements. Since there are 10 possible integers, the probability of choosing an integer that satisfies either condition is 6/10 or 0.6.

However, we must also include the probability of choosing 9 or 10, which individually have a probability of 1/10. Thus, the total probability is 0.6 + 0.1 + 0.1 = 0.7.

To know more about probability, refer here:

https://brainly.com/question/12629667#

#SPJ11

a). We have proved all the given conditions.

b). It is true that condition 3 holds for all regular languages L1 and L2.

(a) Regular languages L1 and L2 can be suggested as follows:

Let \(L_1={0^{(n+1)} | n\geq 0}\)

and

\(L_2={1^{(n+1)} | n\geq 0}\)

We have to prove three conditions:1. L1 ⊈ L2:

The given languages L1 and L2 both are regular but L1 does not contain any string that starts with 1.

Therefore, L1 and L2 are distinct.2. L2  L1:

The given languages L1 and L2 both are regular but L2 does not contain any string that starts with 0.

Therefore, L2 and L1 are distinct.3. (L1 ∪ L2)* = L1* ∪ L2*:

For proving this condition, we need to prove two things:

First, we need to prove that (L1 ∪ L2)* ⊆ L1* ∪ L2*.

It is clear that every string in L1* or L2* belongs to (L1 ∪ L2)*.

Thus, we have L1* ⊆ (L1 ∪ L2)* and L2* ⊆ (L1 ∪ L2)*.

Therefore, L1* ∪ L2* ⊆ (L1 ∪ L2)*.

Second, we need to prove that L1* ∪ L2* ⊆ (L1 ∪ L2)*.

Every string that belongs to L1* or L2* also belongs to (L1 ∪ L2)*.

Thus, we have L1* ∪ L2* ⊆ (L1 ∪ L2)*.

Therefore, (L1 ∪ L2)* = L1* ∪ L2*.

Therefore, we have proved all the given conditions.

(b)It is true that condition 3 holds for all regular languages L1 and L2.

This can be proved by using the fact that the union of regular languages is also a regular language and the Kleene star of a regular language is also a regular language.

To know more about string, visit:

https://brainly.com/question/30099412

#SPJ11

The correlation coefficient, denoted as "r," can take values between -1 and 1, inclusive. In summary, the possible values of the correlation coefficient range from -1 to 1.

The correlation coefficient measures the strength and direction of the linear relationship between two variables. A value of -1 indicates a perfect negative linear relationship, meaning that as one variable increases, the other decreases in a perfectly predictable manner.

A value of 1 indicates a perfect positive linear relationship, where both variables increase or decrease together in a predictable manner. A value of 0 indicates no linear relationship between the variables.

The correlation coefficient can take any value between -1 and 1, representing varying degrees of linear association. Values close to -1 or 1 indicate a strong linear relationship, while values close to 0 suggest a weak or no linear relationship. The sign of the correlation coefficient indicates the direction of the relationship: negative for a decreasing relationship, positive for an increasing relationship.

Learn more about correlation r here: brainly.com/question/31958579
#SPJ11

Hello !

1 - a

2 - d

3 - b

4 - c

Using the Counting the faces of two dice,

the atleast 17 number of faces are possible on the combination of two dice.

First, we have to count the favorable cases,

We know both dice have atleast 6 faces.

It gives 6 favorable cases for a sum of 7.

If we can count them if mean even if dice had more than 6 faces, will matter of for sum of 7.

Now, the mean, we need 6× 4/3=8 (favorable cases for the sum of 10)

If we count 3 favorable cases for each having 6 faces.

For more than 9 faces on a dice matter give the denominator (sample space) are the same for both sum of 7 and the sum of 10, and the probability of one is in proportion to the other.

It mean, additional 5 cases must be ( 7,2), (2,7), (8,2), (2,8) ,(9,1)

So , one of the dice has 8 faces and the other has atleast 9 faces.

Now, we must have atleast 17 combined faces of two dice for probability . So, we get if 12 with configration of 8 faces on one dice.

To learn more about Counting faces of combined dice, refer:

https://brainly.com/question/1302068

#SPJ4

Here's a design for a Turing machine M2 that accepts the language {\(a^(^2^i^) b^i\)| i ≥ 0}: M2 = "On input w:

Repeat the following steps:

The time complexity of M2 can be analyzed as follows:

This Turing machine M2 scans the input from left to right, marking two unmarked 'a's at a time and their corresponding 'b'.

It ensures that for every two 'a's, there is one 'b' following them, accepting only strings of the form \(a^(^2^i^) b^i\).

To know more about Turing machine refer here:

https://brainly.com/question/33327958#

#SPJ11

Answer:

0.6

Step-by-step explanation:

4 × 0.15

I can't show how to do it by typing, but in order to solve this you multiply 4 by each of those numbers and add them up together.

If done correctly, it should equal 0.6 or 0.60 (they are the same number).

4,383  I hope I got that right, Hope it helps!

Answer:

(a) \(x=\dfrac{\pi}{8},\dfrac{3\pi}{8},\dfrac{9\pi}{8},\dfrac{11\pi}{8}\)

(b) \(x=\dfrac{3\pi}{2},\dfrac{\pi}{6},\dfrac{5\pi}{6}\)

Step-by-step explanation:

It is given that \(0\leq x\leq 2\pi\).

(a)

\(\sqrt{2}\sin 2x=1\)

\(\sin 2x=\dfrac{1}{\sqrt{2}}\)

\(\sin 2x=\dfrac{\pi}{4}\)

\(2x=\dfrac{\pi}{4},\dfrac{3\pi}{4},\dfrac{9\pi}{4},\dfrac{11\pi}{4}\)     \([\because \sin x=\sin y\Rightarrow x=n\pi+(-1)^ny]\)

\(x=\dfrac{\pi}{8},\dfrac{3\pi}{8},\dfrac{9\pi}{8},\dfrac{11\pi}{8}\)

(b)

\(\csc^2 x-\csc x-2=0\)

\(\csc^2 x-2\csc x+\csc x-2=0\)

\(\csc x(\csc x-2)+1(\csc x-2)=0\)

\((\csc x+1)(\csc x-2)=0\)

\(\csc x=-1\text{ or }\csc x=2\)

\(\sin x=-1\text{ or }\sin x=\dfrac{1}{2}\)         \([\because \sin x=\dfrac{1}{\csc x}]\)

\(x=\dfrac{3\pi}{2}\text{ or }x=\dfrac{\pi}{6},\dfrac{5\pi}{6}\)

Therefore, \(x=\dfrac{3\pi}{2},\dfrac{\pi}{6},\dfrac{5\pi}{6}\).

Answer:

He has to buy 8 of course

Step-by-step explanation:

Answer:  123.3364311 degrees approximately

Round that value however your teacher instructs.

==========================================================

Explanation:

Use the law of cosines to find side b

\(b^2 = a^2 + c^2 - 2*a*c*\cos(B)\\\\b^2 = 43^2 + 19^2 - 2*43*19*\cos(35)\\\\b^2 \approx 871.5055596\\\\b \approx \sqrt{871.5055596}\\\\b \approx 29.521273\\\\\)

Now use the law of sines to find angle A.

\(\frac{\sin(A)}{a} = \frac{\sin(B)}{b}\\\\\frac{\sin(A)}{43} \approx \frac{\sin(35)}{29.521273}\\\\\sin(A)\approx 43*\frac{\sin(35)}{29.521273}\\\\\sin(A) \approx 0.8354581\\\\A \approx \sin^{-1}(0.8354581) \text{ or } A \approx 180-\sin^{-1}(0.8354581)\\\\A \approx 56.6635689^{\circ} \text{ or } A \approx 123.3364311^{\circ}\\\\\)

Due to the side angle side (SAS) congruence theorem, we know that only one triangle is possible (notice angle B is between sides 'a' and c). This means only one of those values for angle A is possible.

The question is: Which one?

Well if you were to use the converse of the pythagorean theorem, then you'll find that the triangle is obtuse.

For any obtuse triangle, the longest side is always opposite the obtuse angle (aka the angle over 90 degrees). The side a = 43 is the longest side of this particular triangle.

This means angle A must be obtuse and the only possibility is that angle A = 123.3364311 degrees approximately.

Answer:

\(\boxed{\frac{23}{3} ~in}\) or \(\boxed{7,7~in}\)

.

Step-by-step explanation:

Suppose, the first side is a, the second side is b, and the third side is c. So:

→ a = s - 4

→ b = s

→ c = (s - 4) + 3

→ a + b + c = 15

First step, find the value of s

a + b + c = 15

(s - 4) + s + (s - 4) + 3 = 15

3s - 5 = 15

3s = 15 + 5

3s = 20

\(s = \frac{20}{3}\)

So, the third side is

c = (s - 3) + 4

c = s + 1

c = \(\frac{20}{3} + 1\)

\(c = \frac{23}{3}\)

.

Happy to help :)

Answer:

the answers is 7,7 in

Step-by-step explanation:

hope this help

Answer:

The answer is b

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Given

x² - 7x - 44

Consider the factors of the constant term (- 44) which sum to give the coefficient of the x- term (- 7)

The factors are - 11 and + 4 , since

- 11 × 4 = - 44 and - 11 + 4 = - 7 , thus

x² - 7x - 44 = (x - 11)(x + 4) ← in factored form

with (x - 11) as a factor → B

3% = 800/ 100 = 8, 8x3= 24

800-24 = 776

£776

Answer:

Selling Price = £776

Step-by-step explanation:

Costing price = £800

Discount = 3% of 800

=> 3/100 × 800

=> 3×8

= £ 24

Selling Price = COSTING PRICE - DISCOUNT

Selling price = 800-24

Selling price = £776

Answer:

(10 2/3 , 5)

Step-by-step explanation:

Answer:

answer is 1

Step-by-step explanation:

2-1=1

The following statements correctly describe how the graph of the geometric sequence: 640, 160, 40, 10, ... should appear:

The given sequence is 640, 160, 40, 10, ... which is a geometric sequence.

Here, the first term is 640 and the common ratio is ¼

The terms of a geometric sequence can be written as an = a₁(r)⁽ⁿ⁻¹⁾

Here, a₁ = 640, and r = ¼.

Hence, the nth term of the given sequence is given by the formula:

an = 640(1/4)⁽ⁿ⁻¹⁾

The graph of the given sequence will appear as shown below:

The given sequence is a decreasing sequence, which means the terms of the sequence keep decreasing as the value of n increases.

Therefore, the graph will show exponential decay.

The domain of the sequence will be the set of natural numbers, which is {1, 2, 3, ...}, since we cannot find any term before the first term.

Therefore, the first term is the initial term and we can count the other terms of the sequence in natural numbers.

Hence, the domain will be the set of natural numbers.

Learn more about geometric sequence at

https://brainly.com/question/10564422

#SPJ11

Answer:

the graph will show exponential decay.

the domain will be the set of natural numbers.

Step-by-step explanation:

The answer above is correct.

Answer:To calculate the number of grams of Lysol required to make a 3% solution of 1200 mL, we need to know the density of Lysol and its percentage concentration in the solution.

Unfortunately, the percentage concentration of Lysol is not specified, as there are many different types of Lysol products with varying concentrations of active ingredients. For example, Lysol All-Purpose Cleaner contains 0.1% alkyl (C12-18) dimethyl benzyl ammonium chloride, while Lysol Disinfectant Spray contains 0.1% benzalkonium chloride.

Assuming we have a Lysol product that contains 100% Lysol as its active ingredient and a density of 1 g/mL, we can calculate the amount of Lysol required as follows:

3% of 1200 mL = 0.03 x 1200 mL = 36 mL

Since the density of Lysol is 1 g/mL, 36 mL of Lysol is equal to 36 grams of Lysol.

Therefore, if we assume the Lysol product used is 100% Lysol and has a density of 1 g/mL, we would need 36 grams of Lysol to make a 3% solution of 1200 mL.

Step-by-step explanation:

The probability that the average coyote weight for a sample of 20 coyotes is less than 13 kg is approximately 13.14%.

we need to know the mean and standard deviation of the coyote weight population. Let's assume that the population mean is μ = 13.5 kg and the population standard deviation is σ = 2 kg.

Since we are measuring a sample of 20 coyotes, we can use the central limit theorem to approximate the distribution of sample means. According to the central limit theorem, if the sample size is large enough (in general, if n > 30), then the distribution of sample means will be approximately normal, regardless of the distribution of the population.

The mean of the sample means will be equal to the population mean (μ) and the standard deviation of the sample means (also known as the standard error) will be equal to σ / √(n), where √(n) is the square root of sample size.

Using this information, we can calculate the z-score for a sample mean of 13 kg as follows;

z = (13 - 13.5) / (2 / √(20)) = -1.118

Next, we can use a standard normal distribution table (or a calculator or software that can calculate normal probabilities) to find the probability that a z-score is less than -1.118. The area to the left of this z-score is approximately 0.1314, or 13.14%.

To know more about probability here

https://brainly.com/question/11234923

#SPJ4

Answer:

they moved forward 15 yards

Step-by-step explanation:

The perimeter of square ABCD is 28 units.

The perimeter of a square is the sum of all its sides. In this case, we need to find the perimeter of square ABCD.

The question provides two possible answers: 28 units and 37 units. However, we can only choose one correct answer. To determine the correct answer, let's think step by step.

A square has all four sides equal in length. Therefore, if we know the length of one side, we can find the perimeter.

If the perimeter of the square is 28 units, that would mean each side is 28/4 = 7 units long. However, if the perimeter is 37 units, that would mean each side is 37/4 = 9.25 units long.

Since a side length of 9.25 units is not a whole number, it is unlikely to be the correct answer. Hence, the perimeter of square ABCD is most likely 28 units.

In conclusion, the perimeter of square ABCD is 28 units.

Know more about perimeter here,

https://brainly.com/question/7486523

#SPJ11

By definition of the volume of cube, the side length of the cubic quart container is approximately equal to 9.818 centimeters.

A quart means a quarter of gallon and is equal to 946.353 cubic centimeters. The volume of the cube is equal to the cube of the side lengt, then:

x³ = 946.353

x = ∛946.353

x ≈ 9.818

By definition of the volume of cube, the side length of the cubic quart container is approximately equal to 9.818 centimeters.

To learn more on volumes: https://brainly.com/question/1578538

#SPJ1

The answer is the probability of having lunch at least 6 days per week is 0.019 or  1.9%. The probability of having lunch exactly 6 times is 0.017 or 1.7%.

The probability of having lunch together is \($p=40 \%=0.4$\)

The probability of not having lunch together is \($q=1-p=0.6$\)

Number of trials (days in a week) is \($\mathrm{n}=7$\)

Let \($r=$\) number of days in the week when Andy and Anna have lunch together.

\(P(r \text { of } n)={ }_{n} C_{r} p^{r} q^{n-r}\)

Use th graphing calculator to obtain

\($$\begin{aligned}&P(6 \text { of } 7)={ }_{7} C_{6}(0.4)^{6}(0.6)=0.017 \\&P(7 \text { of } 7)={ }_{7} C_{7}(0.4)^{7}(0.6)^{0}=0.002\end{aligned}$$\)

Therefore

\($\mathrm{P}($\) at least 6 of 7\($)=\mathrm{P}(1$\) of 7\($)+\mathrm{P}(2$\) of 7\($)+\ldots+\mathrm{P}(6$\) of 7)

\($$\begin{aligned}&=0.131+0.261+0.290+0.194+0.077+0.017 \\&=0.97 \text { or } 97 \% \\&P(\text { at least } 6 \text { of } 7)=0.017+0.002=0.019=1.9 \% \\&P(\text { exactly } 6 \text { of } 7)=0.017 \text { or } 1.7 \%\end{aligned}$$\)

What is probability ?

To learn more about probability visit:

https://brainly.com/question/11234923?

#SPJ4

Answer:

The probability of them having lunch together at least 6 days a week is

0.019,

and the probability of having lunch exactly 6 times in a week is

0.017.

Step-by-step explanation:

Answer:

num 1 is answer...