Can someone please help me work out the missing angles please I’m struggling

Both of the intervals given are meaningful intervals in mathematics, but they are different types of intervals.Therefore, the interval (1, -13] is meaningless because it does not contain any real numbers.

An interval is a number or range of values ​​between two endpoints. 

The endpoints can be included or excluded from the interval, and the interval can be open, closed, or half-open depending on whether the endpoints are included or excluded.

The interval (-12, 0] is a closed interval, which includes the endpoint 0, and all real numbers between -12 and 0.

The square bracket indicates that the endpoint 0 is included in the interval.

The interval (1, -13] is an empty interval, which includes no real numbers, since there is no number that is greater than 1 and less than or equal to -13. This interval is meaningless because it does not contain any numbers.

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Answer:

m angle BCA =48 degrees

m angle ABC =70 degrees

m angle BAC=62 degrees

m angle BCD=132 degrees

Step-by-step explanation:

First you know that both interior angles have to equal the exterior angles (sorry I forgot what the name of the property). This means that the equation will be 6x-8+4x+10=12x-24. Simplify this to get 10x-2=12x-24. Simplify again to get 2x=26. Divide each side by 2 to get x=13. Now that you know x is equal to 13, you should plug x into angle ABC, BAC, and BCD. When you finish, angle ABC should be 70 degrees, angle BAC should be 62, and BCD should be 132.  To find angle BCA, you know that angle ABC is 70 degrees and BAC is 62 degrees. Every triangle has to equal 180 degrees so the equation should be 180-70-62 which is equal to 48. Therefore, m angle BCA =48 degrees, m angle ABC =70 degrees, m angle BAC=62 degrees, and m angle BCD=132 degrees. With this you can mark the correct choices.

Hope this helps you

The average amount of time it takes Bob to get his goods and pay if when he comes in there is one customer named Al with server 1 and no one at server 2 will be 16 minutes.

Let us assume that, T = the total amount of time Bob spends in the hardware store.

Let us assume that, T1 = the amount of time Bob spends waiting in line for Al to get his goods from server 1

Let us assume that, T2 = the amount of time it takes for Bob to get his goods from server 1

Let us assume that, T3 = the amount of time Bob spends waiting in line for Al to pay server 2 for his goods

Let us assume that,  T4 = the amount of time it takes for Bob to pay server 2 for his goods

So, the value of total time T will be

T = T1 + T2 + T3 + T4 and E[T] = E[T1] + E[T2] + E[T3] + E[T4]

Now, E[T1] = 6 min. because of the memoryless property of the exponential distribution

E[T2] = 6 min.

To find E[T3], the condition on the availability of server 2 after Bob is done with server 1

So, the value of E[T3] will be

E[T3] = E[T3 | Server 2 is free] P(​Server 2 is free) + E[T3 | Server 2 is not free] P(​Server 2 is not free)

= 0 + 3 . P(Bob is done with server 1 before AI is done with server 2)

\($$=3 \cdot \frac{1 / 6}{1 / 6+1 / 3}$$\)= 3(1/3) = 1 min. and E[T4] = 3 min.

So, E[T] = E[T1] + E[T2] + E[T3] + E[T4]

or, E[T] = 6+6+1+3= 16 minutes

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The nominal rate per annum compounded half-yearly, equivalent to an effective rate of 14.5% per annum, is approximately 14.900625%.

To convert an effective rate to a nominal rate compounded half-yearly, we can use the formula:

Nominal rate \(= (1 + r/m)^m - 1\)

Where:

r = effective rate

m = number of compounding periods per year

In this case, the effective rate is 14.5% per annum, and we want to convert it to a nominal rate compounded half-yearly.

Since compounding is done semi-annually, m would be 2.

Plugging in the values:

Nominal rate \(= (1 + 0.145/2)^2 - 1\)  

Simplifying the expression inside the parentheses:

Nominal rate \(= (1 + 0.0725)^2 - 1\)

Calculating the exponent:

Nominal rate \(= (1.0725)^2-1\)

Performing the calculations:

Nominal rate = 1.14900625 - 1

Nominal rate = 0.14900625

Converting the nominal rate to a percentage:

Nominal rate = 14.900625%

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9514 1404 393

Answer:

Step-by-step explanation:

From the law of cosines, you can find the length of side b to be ...

  b = √(a² +c² -2ac·cos(B))

  b = √(184041 +128164 -307164cos(148.5°)) ≈ √574105.36

  b ≈ 757.7

__

From the law of sines, you can find the measure of angle C to be ...

  C = arcsin(c/b·sin(B))

  C ≈ arcsin(358/757.7·sin(148.5°)) ≈ arcsin(0.246872)

  C ≈ 14.3°

  A = 180° -148.5° -14.3°

  A = 17.2°

_____

Some graphing calculators have built-in triangle-solving functions. Apps are available for the purpose for phone or tablet. The screenshot shows a web site that does a nice job of solving the triangle.

The frequency table is plotted and the order for the restaurant is given

Given data ,

A restaurant had 160 lunch customers last weekend.

90 ordered seltzer, 75 ordered a chicken sandwich, and 38 ordered both.

There were 45 customers who ordered seltzer and a veggie sandwich.

Eleven more people ordered a veggie sandwich than a tuna sandwich.

On simplifying the equation , we get

A = 90 - 38 - 45 = 7

B = 75 - 38 = 37

E = 160-90 = 70

C = D + 11

D + 11 + D = 70-37

2D = 33-11

D=22/2

D=11

Thus C = 22

F = 45 + C

F = 45 + 22

F = 22

G = A + D = 18

                  Chicken       Veggie             Tuna               Total

Seltzer            38                 45                     7                    90

Iced Tea           B                  22                     11                    70

Total                 75                 67                    18                    160

Hence , the frequency is completed

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The complete question is attached below :

A restaurant had 160 lunch customers last weekend. Of those, 90 ordered seltzer, 75 ordered a chicken sandwich, and 38 ordered both. There were 45 customers who ordered seltzer and a veggie sandwich. Eleven more people ordered a veggie sandwich than a tuna sandwich. Complete the two-way frequency table for the data.

Answer: -13 x -13 = 169

Step-by-step explanation: you have to multiply -13 two times  and a negative time a negative equals a positive

Answer: i believe the answer is 2 minutes

Step-by-step explanation:

Answer:

7. N. 2x-16

8. Y. 4x+20

9. A. 9x-28.8

10. T. 7x-4

11. S. 6x+54

12. N. 8x+6

13. O. 7x+9

14. N. 7x

15. T. 10x+50

16. W. 4x+15

17. I. 5x+26

18. U. 33/5x-12

19. C. 2.8x-7.56

20. O 10/3x+1/6

Answer:

1.36

Step-by-step explanation:

Medium Bottle hold .34. Take this and subtract from 1.7 and get 1.36

Approximately 138.3 grams of the compound will remain after 8 hours. The decay of a radioactive compound is an exponential process, which can be modeled by the equation:

N(t) = N₀ * e^(-λt)

where N(t) is the amount of the compound remaining at time t, N₀ is the initial amount of the compound, λ is the decay constant, and e is the mathematical constant known as Euler's number.

To find the amount of the compound remaining after 8 hours, we need to plug in the given values into the equation above. We know that the initial mass of the compound is 260 grams, and the decay rate is 3.8% per hour, which means that the decay constant λ is equal to 0.038. Therefore, the equation becomes:

N(8) = 260 * e^(-0.038 * 8)

Simplifying this equation gives:

N(8) = 260 * e^(-0.304)

N(8) ≈ 138.3 grams

Therefore, approximately 138.3 grams of the compound will remain after 8 hours.

It's important to note that this calculation assumes that the decay rate remains constant over time, which may not always be the case in reality. Additionally, the actual amount of the compound remaining may vary due to experimental error or other factors.

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Answer:

150 blue marbles

Step-by-step explanation:

1 green = 6 blue

25 green = x blue

- 6 x 25 = 150

Answer:

Step-by-step explanation:

Perimeter:  

     \(P=(x+y+z) \ cm\)

Semi-perimeter:

     \(SP=\frac{1}{2} (x+y+z) \ cm\)

Answer:

51.3%

Step-by-step explanation:

You must divide 100 by 195. In order to find the equivalent ratio you must multiply the number you are dividing by, by 100. So it will become 100/195.

Answer: 7

Step-by-step explanation:

15-9 =

9 10 11 12 13 14 15

1   2   3  4  5  6  7

7 books were used.

The median of the data is 14

The median is the middle number in an ordered data set.

Given:

{13, 18, 13, 14, 13, 16, 14, 21, 13}

First all the data according to ascending order, we get

13, 13, 13, 13, 14, 14, 16, 18, 21

So, the median is the 5th term which is 14.

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8,12,16,20 correct one

The values of a and b are a = -3 and b = 42. The solutions for x can be written as:

x = -3 - √42

x = -3 + √42

To solve the quadratic equation 2x² + 12x = 66 by completing the square, we need to follow these steps:

Step 1: Move the constant term to the right side:

2x² + 12x - 66 = 0

Step 2: Divide the equation by the leading coefficient (2):

x² + 6x - 33 = 0

Step 3: To complete the square, we take half of the coefficient of x, square it, and add it to both sides of the equation:

x² + 6x + (6/2)² = 33 + (6/2)²

x² + 6x + 9 = 33 + 9

x² + 6x + 9 = 42

Step 4: Rewrite the left side as a perfect square:

(x + 3)² = 42

Step 5: Take the square root of both sides:

√(x + 3)² = ±√42

x + 3 = ±√42

Step 6: Solve for x:

x = -3 ± √42.

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Answer: 96 ounces

Step-by-step explanation: 2 cups in a pint. in 6 pints 12 cups. in one cup 8 ounces. therefore 96 ounces of lemonade

The mean should be calculated for data sets A, B, C, and D.

It is useful to take into account the nature of the data and any potential outliers when deciding whether to choose the mean or the median as the measure of center in a data set.

When the data is symmetrically distributed with no major outliers, the mean is usually a better choice. It affects extreme values and gives an indication of the average value.

The median, on the other hand, is often preferred when the data is skewed or contains outliers. It represents the middle value when the data is ordered, and it is less affected by extreme values.

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Answer

Step by step explantion:

bsf= 26

Eliana:98

SS teacher=203

David=55

Step-by-step explanation:

m= music

bsf: m

eliana:4m-6

David:2m+3

SS teacher: 2(4m-6)+7

m+4m-6+2m+3+8m-12+7

382=15m-7

7+ +7

389=15m

/15m /15m

m=26

multiply 26 to each one of them

Answer: 12xy - 21x

Step-by-step explanation:

Answer:

5 i think the explanation is at the bottom if i'm right please star

Step-by-step explanation:

3x4-7=5

Answer:

The answer is C.

Step-by-step explanation:

4(.032) + 3(2.458) = 7.502

7(.032) + 9(1.531) = 14.003

4(2.458) - 1.531 = 8.301

The solutions to the system of equation are x = 0.032, y = 2.458, z = 1.531 after using the inverse matrix method option (C) is correct.

It is defined as the group of numerical data, functions, and complex numbers in a specific way such that the representation array looks like a square, rectangle shape.

We have a system of equations:

4x + 3y = 7.5

7x + 9z = 14

4y - z = 8.3

First we have to write above system of equation in the form of:

AX = B

\(\rm X = A^{-1}B\)

Where A, X and B are the matrix such that:

\(\rm A = \left[\begin{array}{ccc}4&3&0\\7&0&9\\0&4&-1\end{array}\right]\)

\(\rm X = \left[\begin{array}{c}x\\y\\z\end{array}\right]\)

\(\rm B = \left[\begin{array}{c}7.5\\14\\8.3\end{array}\right]\)

\(\rm \left[\begin{array}{ccc}4&3&0\\7&0&9\\0&4&-1\end{array}\right] \left[\begin{array}{c}x\\y\\z\end{array}\right] \rm = \left[\begin{array}{c}7.5\\14\\8.3\end{array}\right]\)

Now find the determinant of matrix A

|A| = -123

\(\rm A^{-1}= \dfrac{Adj(A)}{Det(A)}\)

After calculating, we will get:

x = 0.032, y = 2.458, z = 1.531

Thus, the solutions to the system of equation are x = 0.032, y = 2.458, z = 1.531 after using the inverse matrix method

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Answer:

about 5.22hrs

Step-by-step explanation:

cross multiply

120.45          ?

15.67         40.15

120.45*40.15

=629.1505

629.1505/15.67

=5.2233333...

Answer:

Reflection over the x-axis and shifted 3 units to the left

Step-by-step explanation:

From the parent graph f(x) = \(-4^x\), we can conclude that:

1. Reflected over the x-axis because we multiplied by -1 to flip it to positive.

2. Horizontally shifted the graph to the left because of the +3 (take the opposite for horizontal movement)

That is how we get f(x) = \(4^{x+3}\).

Edit: I have no idea why the mods and AL2006 reported my answer and deleted it. I still got the same answer. The child function f(x) = \(4^{x+3}\), not f(x) = \(4^x+3\)

Part (a)

There are 7 red out of 7+3 = 10 total

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

Part (b)

We have 3 green out of 10 total

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

Part (c)

3/10 is the probability of getting green on any selection. This is because we put the first selection back (or it is replaced with an identical copy)

So (3/10)*(3/10) = 9/100 is the probability of getting two green in a row.

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

Part (d)

Similar to part (c) we have 7/10 as the probability of getting red on each independent selection.

(7/10)*(7/10) = 49/100

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

Part (e)

7/10 is the probability of getting red and 3/10 is the probability of getting green. Each selection is independent of any others.

(7/10)*(3/10) = 21/100

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

Part (f)

We have the exact same set up as part (e). Notice how (7/10)*(3/10) is the same as (3/10)*(7/10).

The correct answer is 85 points in each contest

Explanation:

To solve this problem, the first step is to find out how many points Maddie has and then how many points she still needs to get a total of 750 points. Additionally, to do this, the correct process is to multiply the average points by the number of contexts.

In the first five contests, she obtained 68 points average

5 x 68 = 340 points in the first five contests

In the three following contests, she obtained 80 points on average

3 x 80 = 240 points

Now, let's add the points and find how many points she is missing to reach 750 points

340 + 240 = 580

750 - 580 = 170

Finally, let's divide the points missing by 2 because there are still two contests and Madie needs to get the 170 points in these two.

170 ÷ 2 = 85 points

Maddie needs to get 85 points on average to complete her goal of 750 points

Answer:

(4,4)

Step-by-step explanation:

1) Using substitution: move 7y to the other side by subtraction

x = 32 - 7y

2) substitute in for x in the first equation

-2(32 - 7y) + 7y = 20

3) distribute

-64 + 14y + 7y = 20

4) add like terms and solve for y

21y = 84

y = 4

5) plug in y value of for in one of the eqautions to get x value

-2x + 7(4) = 20

x = 4