Question -: If ( 1 + tan θ ) ( 1+ ∅ ) = 2 , then what is ( θ + ∅ ) ?
a . 30⁰ b. 45⁰ c. 60⁰ d. 90⁰
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Answer:

Direct - telling us she's strong, petite, fiery, afraid

Step-by-step explanation:

What is the maximum height of the ball 182.25 feet

How many seconds does it take until the ball hits the ground 6 seconds

The maximum height will occur at the vertex v(h', k)

h' = -b/2a

From the equation h = − 16 t^2 + 84 t + 72

a = -16

b = 84

h' = -84/(2 * -16)

h' = t = 2.625

k = h = − 16 t^2 + 84 t + 72 at t = 2.625

= − 16 * 2.625^2 + 84 * 2.625 + 72

= 182.25 feet

The ball hits the ground when h = 0

0 = − 16 t^2 + 84 t + 72

solving the quadratic equation gives

t = 6 OR -3/4

Use the positive value

t = 6 seconds

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Answer:

7

Step-by-step explanation:

i took the quiz

Answer: -24

Step-by-step explanation:

\(\frac{x}{3}=-8\\\frac{x}{3}(3)=-8(3)\\ x=-24\)

1a. The percentage total return is -19.56%

1b. The dividend yield is 2.42%.

1c. The capital gains yield is -21.98%.

2a. The arithmetic average annual return on large-company stocks in nominal terms is 14.5%.

2b. The arithmetic average annual return on large-company stocks in real terms is 9.67%.

3a. The real return on long-term government bonds is 3.195%

3b. The real return on long-term corporate bonds is 3.291%

In Financial accounting, the percentage total return (P) can be calculated by using this formula;

P = [(Ending price - Initial price) + Dividend] ÷ Initial price

P = [(71 - 91) + 2.20] ÷ 91

P = -0.1956 or -19.56%

1b. For the dividend yield, we have:

Dividend yield = Dividend ÷ Initial price

Dividend yield = 2.20 ÷ 91

Dividend yield = 0.0242 or 2.42%

1c. For capital gains yield, we have:

Capital gains yield = (Ending price - Initial price) ÷ Initial price

Capital gains yield = (71 - 91) ÷ 91

Capital gains yield = -0.2198 or -21.98%.

Part 2.

a. The arithmetic average of annual return on large-company stocks in nominal terms is equal to 14.5%.

b. For arithmetic average annual return in real terms, we have:

(1 + 0.145) = (1 + r)(1 + 0.044)

r = (1.145/1.044) - 1

r = 9.67%

Part 3.

a. For real return on the long-term government bonds, we would apply Fisher equation:

(1 + i) = (1 + r)(1 + h)

Where:

(1 + 0.066) = (1 + r)(1 + 0.033)

1 + r = 1.066/1.033

r = 3.195%

b. For real return on long-term corporate bonds:

(1 + 0.067) = (1 + r)(1 + 0.033)

1 + r = 1.067/1.033

r = 3.291%

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Answer:

6.300

Step-by-step explanation:

Answer: What is "A" rounded to the nearest thousandth? answer: 6.340

What is "A" rounded to the nearest hundredth? Answer: 6.300

Step-by-step explanation: When you look to the right of the number place you are rounding, then it will tell you whether to round up or down, if it 4 or lower, then you round down by one digit, if it is 5 or higher, then you round up. Add any zeros if necessary.

Hope this helps, I'm doing math too, just taking a break to help someone else out.

Answer:

Mean - 79

Median- 81

Range- 11

Step-by-step explanation:

Mean aka average = add all the numbers together and divide it by the number of numbers there were to find the mean of something.

in this case  : 81 + 82 + 84+ 75+73+75 + 83 = 553 divided by 7 = 79

Median -  Rearrange the set of numbers from least to greatest or  greatest to least  and find the middle number to find the median

In this case : 73, 75, 75, 81, 82, 83, 84 =  The median is 81

Range - Substract the highest and the lowest number from the set of numbers to find the range.

In this case : 84 - 73 = 11

Answer:

20:9

Step-by-step explanation:

Here we will simplify the ratio to 40:18 for you and show you how we did it.

To simplify the ratio 40:18, we find the greatest common divisor of 40 and 18, and then we divide 40 and 18 by the greatest common divisor.

The greatest common divisor that you can use to simplify 40:18 is 2. This means the answer to ratio 40:18 simplified is:

20:9

Therefore, the perimeter of the rectangle is 42 centimeters.

The concept of area is used in many areas of mathematics, science, and everyday life. It is used in geometry to calculate the area of various shapes, such as triangles, circles, and polygons. It is also used in physics to calculate the amount of surface area of an object that is exposed to air or water, and in architecture and engineering to determine the amount of material needed to construct a building or structure.

Here,

To find the perimeter of a rectangle, we need to know its length and width. We are given that the width of the rectangle is 9 centimeters, and the area of the rectangle is 108 square centimeters.

We can use the formula for the area of a rectangle:

Area of rectangle = length x width

Plugging in the values we have:

108cm² = length x 9cm

Solving for the length, we can divide both sides by 9cm:

length = 108cm² / 9cm

length = 12cm

So, the length of the rectangle is 12 centimeters.

To find the perimeter of the rectangle, we can use the formula:

Perimeter of rectangle = 2 x (length + width)

Plugging in the values we have:

Perimeter of rectangle = 2 x (12cm + 9cm)

Perimeter of rectangle = 2 x 21cm

Perimeter of rectangle = 42cm

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Answer:

I might be wrong but I think x = 21

Step-by-step explanation:

The shape looks to be 42x42. The question turns into (2 × __ = 42)

if I am interpreting this correctly, it is 21

okay I think im wrong

Step-by-step explanation:

42+2x=90

2x=90-42

2x=48

x=48/2

x=24

answer

Equilateral Triangle

Answer:

equilateral triangle

Step-by-step explanation:

At the same rate as his 100-meter freestyle swim in the 2012 Olympics, Nathan Adrian could have completed one loop of a 25-meter pool in 11.88 seconds.

The idea of proportionality can be applied. The time it would take Nathan Adrian to complete one lap in a 25-meter pool is known to be 47.52 seconds for the 100-meter freestyle. Since the tempo is constant while the distance varies, we can establish a ratio:

100 meters / 47.52 seconds = 25 meters / x seconds

where x is the unknown time for one lap in the 25-meter pool.

To solve for x, we can cross-multiply:

100 meters * x seconds = 47.52 seconds * 25 meters

100x = 1188

Dividing both sides by 100, we get:

x = 11.88 seconds

Therefore, at the same rate as his 100-meter freestyle swim in the 2012 Olympics, Nathan Adrian could have completed one loop of a 25-meter pool in 11.88 seconds.

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Answer:

The sample is biased because it does not represent the population of all employees.

The question is not biased.

Step-by-step explanation:

i took the test.

The question is biased toward a response of preferring more sick days. This statement is incorrect as there is no indication of which answer is preferred.

In statistics, a simple random sample is a subset of individuals chosen from a larger set in which a subset of individuals are chosen randomly, all with the same probability. It is a process of selecting a sample in a random way.

The question is not biased. The question simply asks which employees would prefer: more sick days or more vacation days. There is no indication of which answer is preferred.

The sample is not biased. The sample is randomly selected from the company's database, and only employees with less than one year on the job were selected. This selection method is unbiased as it does not favor any particular group of employees.

The question is biased toward a response of preferring more vacation days. This statement is incorrect as there is no indication of which answer is preferred.

The sample is biased because it does not represent the population of all employees. This statement is correct; the sample is limited to employees with less than one year on the job, which does not represent the population of all employees.

Therefore, the question is biased toward a response of preferring more sick days. This statement is incorrect as there is no indication of which answer is preferred.

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The dimensions of the cross section of the field, shaped like a parabola and modeled by the quadratic function; y = -0.000234·(x - 80)² + 1.5 are;

Width ≈ 160 feet

Maximum height = 1.5 feet

Parabolas describe the motion of the path of flight of a ball thrown in the air, and horses show jumping.

The function for the cross section of the field; y = -0.000234·(x - 80)² + 15

Where x and y are measured in feet

The width of the field can be found by finding the x-intercepts of the parabola. To do this, we can set y = 0 and solve for x;

0 = -0.000234·(x - 80)² + 1.5

Therefore; 0.000234·(x - 80)² = 1.5

(x - 80)² = 1.5/0.000234

x - 80 = ±√(1.5/0.000234)

x = 80 ± √(1.5/0.000234)

x ≈ 0 and x ≈ 160

The equation for the cross section of the field is presented in the vertex form of a quadratic equation; y = a·(x - h) + k

Where; (h, k) is the vertex and by comparison, (h, k) = (80, 1.5)

h = The x-value of the vertex

k = The y-value of the vertex = The maximum height = 1.5 feet

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Greetings from Brasil...

from notable products:

A² - B² = (A + B)·(A - B)

bringing to our problem:

9 - G² = (3 + G)·(3 - G)

Factoring 24G + 8G²:

8G(3 + G)

So, we have:

{G²/[ (3 + G)·(3 - G)]} + {(14 + G)/[8G(3 + G)]}

So the  least common denominator is: 3 + G

\(\large{\frac{G^2}{9-G^2}+\frac{14+G}{24G+8G^2}=\frac{G^2}{(3+G)\cdot (3-G)}+\frac{14+G}{8G\cdot (3+G)}}\)

Answer:

0.25

Step-by-step explanation:

Answer:

0.25 ...........................

Answer:Let's assume that Eli's current age is "E" and Elena's current age is "L".

Step-by-step explanation:

From the first statement, we know that:

E + L = 50 ... (1)

From the second statement, we also know that 7 years ago, Elena's age was 8 times greater than Eli's age. So we can write:

L - 7 = 8(E - 7) ... (2)

We can simplify equation (2) by distributing the 8:

L - 7 = 8E - 56

Adding 7 to both sides:

L = 8E - 49 ... (3)

Now we can substitute equation (3) into equation (1) to solve for E:

E + (8E - 49) = 50

Simplifying:

9E - 49 = 50

Adding 49 to both sides:

9E = 99

Dividing by 9:

E = 11

So Eli's current age is 11 years old.

To find Elena's age, we can use equation (3):

L = 8E - 49

Substituting E = 11:

L = 8(11) - 49

Simplifying:

L = 88 - 49

L = 39

So Elena's current age is 39 years old.

Therefore, the answers are:

Part A: Eli's age today is 11.

Part B: Elena's age today is 39.

A sorting algorithm is defined as an algorithm that sorts the elements of a list. The most commonly used sequences are numerical sequence and lexicographical sequence, ascending or descending.

A sorting algorithm is used to reorder an array or list of elements according to an element comparison operator. Comparison operators are used to define a new order of elements in that data structure. Consider example, The above list of characters is sorted in ascending order by their value. That is, characters with lower values are placed before characters with higher values. It is important in real life because it supports the development of the scientific concept that things can be owned and organized into distinct groups (e.g. creatures, cars, weather types, etc.). We will now discuss some real-world examples of using sorting algorithms.

1) Your phone's contact list is sorted. This means that your data is organized in this way so you can easily access the contacts you want from your phone. That is, "I ordered."

2) Paper sorting : Imagine a teacher sorting students' work alphabetically by student name. This type of operation is similar to the functionality of sorting algorithms such as bucket sort. Sorting is more efficient process.

3) Traffic lights : Traffic lights are a good example of how algorithms are used in the real world around us. Next time you get stuck in a car at a red light, think about the algorithm that traffic lights run." Most traffic lights don't automatically switch between green, yellow, and red. This algorithm is a well-established turn-by-turn algorithm that directs traffic correctly. It's in order (it may not seem that way when you're sitting at a red light).

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SOLUTION:

Step 1:

In this question, we are given the following:

Step 2:

The details of the solution are as follows:

CONCLUSION:

The final answer is:

Answer:

The probability that exactly five of the seven have straight stitching is very low only 13.47%, this means that the company should stop the production line.

Step-by-step explanation:

We are given that Seven baseballs are randomly selected from the production line to see if their stitching is straight. Over time, the company has found that 89.4% of all their baseballs have straight stitching.

Let X = Number of baseballs having straight stitching

The above situation can be represented through the binomial distribution;

\(P(X = r) = \binom{n}{r} \times p^{r}\times (1-p)^{n-r};x=0,1,2,3,.......\)

where, n = number of samples (trials) taken = 7 baseballs

            r = number of success = exactly 5

            p = probbaility of success which in our question is the probability

                   that baseballs have straight stitching, i.e.; p = 89.4%

So, X ~ Binom(n = 7, p = 0.894)

Now, the probability that exactly five of the seven have straight stitching is given by = P(X = 5)

            P(X = 5) =  \(\binom{7}{5} \times 0.894^{5}\times (1-0.894)^{7-5}\)

                          =  \(21 \times 0.894^{5}\times 0.106^{2}\)

                          =  0.1347 or 13.47%

Since the probability that exactly five of the seven have straight stitching is very low only 13.47%, this means that company should stop the production line.

Answer:

1/8 for a third grader to win

Step-by-step explanation:

15/120=1/8

We have proven that if A and B are m x n matrices, then A and B are row equivalent if and only if A and B have the same reduced row echelon form.

Matrices are a type of mathematical structure used to store and analyze data. They are represented as a series of rows and columns, with each cell in the matrix containing a number or other value. Matrices are used to solve systems of equations, perform matrix multiplication and determine the inverse of a matrix. They are also used in linear programming, cryptography, and other areas of mathematics.

Row equivalence is defined as a pair of matrices A and B being row equivalent if there is a sequence of row operations that can transform A into B, or vice versa. This means that if A and B are row equivalent, then A and B can be transformed into one another by a series of row operations.

A reduced row echelon form is defined as a matrix in which all non-zero rows are above any rows of all zeroes and the leading coefficient of each non-zero row is 1. In other words, all of the non-zero rows have a leading coefficient of 1, and any rows of all zeroes are below the non-zero rows.

Therefore, if A and B are row equivalent, then A and B can be transformed into one another by a series of row operations. This means that we can use the same series of row operations to transform A and B into the same reduced row echelon form. This proves that if A and B are row equivalent, then A and B have the same reduced row echelon form.

On the other hand, if A and B have the same reduced row echelon form, then they must have been transformed into the same form by a series of row operations. This means that the same series of row operations must have been used to transform A and B into the same reduced row echelon form, which means that A and B are row equivalent. This proves that if A and B have the same reduced row echelon form, then A and B are row equivalent.
To prove that if A and B are m x n matrices, then A and B are row equivalent if and only if A and B have the same reduced row echelon form, we can use the definition of row equivalence and the definition of a reduced row echelon form.


Therefore, we have proven that if A and B are m x n matrices, then A and B are row equivalent if and only if A and B have the same reduced row echelon form.

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i.  The position vector of X is 2b - a.

ii.  The position vector of Y is (3b + c)/4.

iii.  The ratio XY : Y Z is \(|(2b - a) - ((3b + c)/4)|/|((3b + c)/4) - (a + c)/2|\). Simplifying this expression will give us the final ratio.

i. To find the position vector x of point X, we can use the concept of vector addition. Since AB : BX = 2 : 1, we can express AB as a vector from A to B, which is given by (b - a). To find BX, we can use the fact that BX is twice as long as AB, so BX = 2 * (b - a). Adding this to the vector AB will give us the position vector of X: x = a + 2 * (b - a) = 2b - a.

ii. Similar to the previous part, we can express BC as a vector from B to C, which is given by (c - b). Since BY : YC = 1 : 3, we can find BY by dividing the vector BC into four equal parts and taking one part, so BY = (1/4) * (c - b). Adding this to the vector BY will give us the position vector of Y: y = b + (1/4) * (c - b) = (3b + c)/4.

iii. Z is the midpoint of AC, so we can find Z by taking the average of the vectors a and c: z = (a + c)/2. The ratio XY : YZ can be calculated by finding the lengths of the vectors XY and YZ and taking their ratio. Since XY = |x - y| and YZ = |y - z|, we have XY : YZ = |x - y|/|y - z|. Plugging in the values of x, y, and z we found earlier, we get XY : YZ =\(|(2b - a) - ((3b + c)/4)|/|((3b + c)/4) - (a + c)/2|\).

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9514 1404 393

Answer:

  A. no solution

Step-by-step explanation:

The solution is found where the lines meet. Parallel lines never meet, so there is no solution.

ANSWER :

1.5x

EXPLANATION :

Claire's height is x feet.

Robert is taller than Claire by half of her height.

That will be Claire's height + half of her height.

Answer:

50.

Step-by-step explanation:

.

Answer: Check

12^10 × 12^(-2) = 12^(10 - 2) = 12^8

________________________________

Second option : ---

3^2 × 4^6 = 3^2 × 4^2 × 4^4 = 12^2 × 4^4

________________________________

Third option : ---

(12^8)^0 = 12^(8 × 0) = 12^0 = 1

________________________________

4th option : Check

12^10 / 12^2 = 12^10 × 12^(-2) = 12^(10 - 2)

= 12^8

________________________________

5th option : Check

2^8 × 6^8 = ( 2 × 6 )^8 = 12^8

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

Answer:

The calculated value t = 3.032 >  1.9904 at 5% level of significance

Step-by-step explanation:

Step(i):-

Given mean of the population 'μ'=75 feet

Given mean of the sample(x⁻) = 77

Given standard deviation of the sample(S) = 5.9

Given sample size 'n' =80

Step(ii):-

Test statistic

              \(t=\frac{x^{-} -mean}{\frac{S}{\sqrt{n} } }\)

             \(t=\frac{77-75}{\frac{5.9}{\sqrt{80} } }\)

            t = 3.032

Degrees of freedom ν=n-1 = 80-1 =79

tabulated value = 1.9904 at 5% level of significance

The calculated value t = 3.032

Final answer:-

The calculated value t = 3.032 >  1.9904 at 5% level of significance