Which of the following is a simpler way to write StartFraction cosine theta Over sine theta EndFraction

Answer:

R = $2,120

Ticket price = $11

Step-by-step explanation:

Finding revenue when t = 10 :

The vertex of the graph will have the maximum revenue.

Hence, the revenue is maximum when the ticket price is $11.

Using the hypergeometric distribution, it is found that there is a 0.0232 = 2.32% probability of getting exactly two winning numbers with one ticket.

The formula is:

[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}C_{N-k,n-x}}{C_{N,n}}[/tex]

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

The parameters are:

For this problem, the parameters are given as follows:

N =A + B = 54, k = 4, n = 4.

The probability of getting exactly two winning numbers with one ticket is P(X = 2), hence:

[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}C_{N-k,n-x}}{C_{N,n}}[/tex]

[tex]P(X = 2) = h(2,54,4,4) = \frac{C_{4,2}C_{50,2}}{C_{54,4}} = 0.0232[/tex]

There is a 0.0232 = 2.32% probability of getting exactly two winning numbers with one ticket.

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Answer:

C is correct

Step-by-step explanation:

I'm not sure what the substituting part has to do anything, but here is how I got the answer

4(x+x+7)-2x+8-4

4(2x+7)-2x+4

8x+28-2x+4

6x+32

Factor and you get

2(3x+16), which is answer choice C

You can check that the answer is right by plugging in x=1 and x=2 into the original equation and the answer choice, which may be what that is asking.

Answer:

-70

Step-by-step explanation:

We are given this arithmetic sequence:

-2, -6, -10, -14, ...

And we want to find the 18th term in it.

The 18th term can be found using this formula:

1st term + common difference(desired term-1)

The desired term is the term that we are looking for. In this case, it would be the 18th term, so substitute 'desired term' with 18.

1st term + common difference(18-1)

So, let's find the first term and the common difference.

The 1st term is the first term (number) that appears in the sequence. In this case, that number would be -2.

The common difference can be found by doing second term minus first term.

Remember that we know that the first term is -2. The second term is the second number that appears in the sequence, which would be -6.

So, do -6 subtract -2.

-6 - - 2

-6 + 2

-4

The common difference is -4.

So, we can plug -2 and -4 into the formula.

-2 - 4(18-1)

Now, doing the order of operations, first, subtract 1 from 18.

-2-4(17)

Now multiply -4 and 17 together.

-2 -68

Subtract -68 from -2.

-70

The 18th term of the sequence is -70.

The diagram where angles 1 and 2 form a linear pair is option D which is that a horizontal line has 1 line extending from it. Angles 1 and 2 are formed.

Given that angle 1 and 2 form a linear pair.

We know that a linear pair is an angle that are formed when two lines intersect each other at a single point.

In our case when a horizontal line has 1 line extending from it and when angles 1 and 2 are formed shows a linear pair.

In first part when two lines intersect they donot form 4 angles.

In second part when 3 lines extend from a point they don't form right angle between the lines.

Hence the linear pair angles are shown by the statement that a horizontal line has 1 line extending from it. Angles 1 and 2 are formed.

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The solution set to the inequality 5.1(3 + 2.2x) > –14.25 – 6(1.7x + 4) gives x > -2.5

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

An independent variable is a variable that does not depend on any other variable for its value whereas a dependent variable is a variable that depend on any other variable for its value.

Inequality shows the non equal comparison of two or more numbers and variables.

Given the inequality:

5.1(3 + 2.2x) > –14.25 – 6(1.7x + 4)

Simplifying:

15.3 + 11.22x > –14.25 – 10.2x - 24

21.42x > -53.55

x > -2.5

The solution set to the inequality 5.1(3 + 2.2x) > –14.25 – 6(1.7x + 4) gives x > -2.5

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Answer:

1921.68 [tex]ft^{3}[/tex]

Step-by-step explanation:

V = pi*r*r*h

= 3.14*6*6*17

= 1921.68

Question 11

1) [tex]\overline{BA} \cong \overline{FA}[/tex], [tex]\angle 1 \cong \angle 2[/tex] (given)

2) [tex]\angle A \cong \angle A[/tex] (reflexive property)

3) [tex]\triangle AEB \cong \triangle ACF[/tex] (ASA)

4) [tex]\overline{AC} \cong \overline{AE}[/tex] (CPCTC)

Question 12

1) Isosceles [tex]\triangle ACD[/tex] with [tex]\overline{AC} \cong \overline{AD}[/tex], [tex]\overline{BC} \cong \overline{ED}[/tex] (given)

2) [tex]\angle ACD \cong \angle ADC[/tex] (angles opposite congruent sides in a triangle are congruent)

3) [tex]\angle ACB[/tex] and [tex]\angle ACD[/tex] are supplementary. [tex]\angle ADC[/tex] and [tex]\angle ADE[/tex] are supplementary (angles that form a linear pair are supplementary)

4) [tex]\angle ACB \cong \angle ADE[/tex] (supplements of congruent angles are congruent)

5) [tex]\triangle ABC \cong \triangle AED[/tex] (SAS)

6) [tex]\overline{AB} \cong \overline{AE}[/tex] (CPCTC)

7) [tex]\triangle ABE[/tex] is an isosceles triangle (a triangle with two congruent sides is isosceles)

Note: I changed the names of the segments in Question 11 because of the word filter.

There are 15 partitions for the number 7. Where the partitions are nothing but writing an integer in different ways as a sum of two or more integers.

A partition of a positive integer is the way of writing the integer as a sum of one or more positive integers. Where the order of the integers in the sum is not considered.

There are 15 partitions. They are as follows:

These are the 15 possible partitions of the number 7.

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The surface area of the cone is calculated to the nearest tenth as: 173.4 cm².

Surface area of a cone = πr(r + l),

Given the following:

Plug in the values

Surface area of the cone = π × 4(4 + 9.8)

Surface area of the cone = 173.4 cm²

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Answer:

the answer is 3/4 because 7/12 + 2/12 is 9/12 which simplified is 3/4

Step-by-step explanation:

The values which completes the table regarding summer camp is option b which is a=15,b=7, c=5, d=10, e=12.

Given that there are 32 campers, 22 of them can swim, 20 play softball and 5 do not play softball or swim.

We have to find the values of a,b,c,d,e so that we can complete the table.

Table is a combination of rows and columns. In our case the third row and third column shows the total.

from the table we can write that 22+d=32-----------1

so d=32-22

=10

d=10

c+5=d-----------2

c=10-5=5

c=5

a+c=20------------------3

a+5=20

a=20-5

a=15

a+b=22--------------3

15+b=22

b=7

20+e=32----------4

e=32-22

e=10.

Hence the values which completes the table is a=15,b=7, c=5, d=10,  e=12.

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Question is incomplete as it should include figure showing table of values.

The difference between the theoretical probability and the experimental probability of the person getting the number 3 on a roll is 0.375.

In the question, we are given that a person has a 0.125 probability of getting the number 3 on a roll of an eight-sided die.

This means that the theoretical probability of rolling a 3 on an eight-sided die is 0.125.

Also, we are informed that a person rolls the die 24 times, and gets a 3 on one-half of the rolls, that is, 1/2 * 24 = 12 rolls.

Thus, the experimental probability of rolling a 3 on an eight-sided die = 12/24 = 1/2 = 0.5.

In the question, we are asked to find the difference between the theoretical probability and the experimental probability of the person getting the number 3 on a roll.

The difference = The experimental probability - The theoretical probability,

or, the difference = 0.5 - 0.125 = 0.375.

Thus, the difference between the theoretical probability and the experimental probability of the person getting the number 3 on a roll is 0.375.

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27a³ + 189a²b + 441ab² + 343b³ = (3a + 7b)³

27a³ + 189a²b + 441ab² + 343b³

Therefore,

27a³  = (3a)³

189a²b  = 3(3a)²(7b)

441ab² = 3(3a)(7b)²

343b³ = (7b)³

(3a)³ + (7b)³ + 3(3a)²(7b) + 3(3a)(7b)²

a³ + b³ + 3a²b + 3ab²  = (a + b)³

Therefore,

27a³ + 189a²b + 441ab² + 343b³ = (3a + 7b)³

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Percentages are used to show the fraction of a thing. For example, if 5 students out of 20 like math, the percentage is 5/20 x 100= 25%

This refers to the number of ratios that is described as a fraction of 100 and is denoted by the sign %.

Hence, we can see that although your question is incomplete, I gave you a general overview of percentages for a better understanding of the concept.

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The correct proportions are given as follows:

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

The proportions for this problem are given dividing y by x, hence:

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Answer:

a.) C(x) = 10x + 8,000

Step-by-step explanation:

The fixed cost does not change regardless of the variable. Therefore, it should be attached to no variable. However, the variable cost does depend on the number of alarms and thus should be attached to the variable.

This makes the algebraic expression:

C(x) = 10x + 8,000

Your graph should look very similar to this. Keep in mind that our axis are slightly different. You can plot specific points on your graph by plugging random "x" values into your algebraic expression and finding the subsequent "y" values.

Answer:

I don't understand what the question is what do you need to find?

Using translation concepts, the equation of the new line is:

[tex]y = -\frac{1}{2}x[/tex]

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.

In this problem:

Hence the equation of the new line is:

[tex]y = -1 \times \frac{1}{2} \times x = -\frac{1}{2}x[/tex]

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Answer:

the answer is D- 9/k

Answer:

D- 9/k

Step-by-step explanation:

The complete table is shown below.

Complete the table as follows:

[tex]2^{2} = 2*2 = 4\\3^{2} = 3*3 = 9\\4^{2} = 4*4 = 16\\5^{2} = 5*5=25\\6^{2} =6*6=36\\7^{2} =7*7=49\\8^{2} =8*8=64\\9^{2} =9*9=81\\10^{2} =10*10=100\\11^{2} =11*11=121[/tex]

Therefore, the complete table has been shown.

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The question you are looking for is here:

Complete the table by squaring each positive x-value listed 2, 3,4,5,6,7,8,9,10,11.

Answer:

V≈113.1in³.

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The missing statements that completes the proof that proves that quadrilateral ACDB is a parallelogram is explained below.

A quadrilateral that has the following properties is a parallelogram, in reference to the quadrilateral ACDB in the image given:

Given that ΔCFD ≅ ΔBGA, the proof that quadrilateral ACDB is a parallelogram is given below:

Since we know that ΔCFD ≅ ΔBGA, therefore, CD ≅ BA because corresponding parts of congruent triangles are: congruent.

Since we also know that m∠DCA + m∠CAB = 180°, then we also know that both angles are: supplementary.

Transversal A.F cut the two lines, CD and BA, then the interior angles on the same side of the transversal are: supplementary, thus, we it implies we know that lines CD and BA would be: parallel.

Since one pair of sides (CD and BA) are both parallel and congruent, then we know that quadrilateral ACDB is a parallelogram.

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The correct answer is Option B) 1.67 after rounding off.

Rounding is a process to estimate a particular number in a context. To round a number look at the next digit in the right place, if the digit is less than 5, round down and if the digit is 5 or more than 5, round up. Rounding decimals refer to the rounding of decimal numbers to a certain degree of accuracy.

Given here, the number with decimal 1.666 , thus rounding off we get the answer a 1.67

Hence, the correct answer is Option B)

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Answer:are u sure its not y=mx+b? And it doesn’t pass thru 1 im pretty sure

Step-by-step explanation:

Answer: Quadrant III

Explanation:

Let's pick example values for m and b

I'll go for m = -2 and b = 5. Anything works as long as m is negative and b is positive.

We go from y = mx+b to y = -2x+5

Plot this graph as shown below. The line passes through quadrants I, II, and IV. Only quadrant III is not touched at all.

Answer:

x = 1.4

Step-by-step explanation:

Visualize the figure as a rectangle with width 4 and height 1 combined with a triangle with base 1 and height 1.

Next, use the Pythagorean Theorem, a^2 + b^2 = c^2. Variables a and b represent the lengths of the legs, in this case 1 and 1, and variable c represents the length of the hypotenuse, in this case x.

1^2 + 1^2 = x^2

2 = x^2

x = 1.41421356237

Step-by-step explanation:

imagine that this shape is the combination of 2 shapes :

1. a rectangle 4×1

it goes from the top down the side of 4 until the tilted line x begins.

2. a right-angled triangle

x being the Hypotenuse (the baseline opposite of the 90° angle). and the legs are the invisible line of 1 (going from the top right of x in parallel to the 1 line all the way to the 5 line) and the part of the 5 line below the 4 line : 5-4 = 1.

so, x can be solved by using Pythagoras

c² = a² + b²

c being the Hypotenuse, a and b are the legs.

x² = 1² + 1² = 2

x = sqrt(2) = 1.414213562... ≈ 1.4

The Number of people is 12 when time taken is 2 hours.

According to the statement

Time taken when 10 people works is 3 hours

Time taken when 5 people works is 8 hours

Then we have to find the number of peoples when time taken is 2 hours.

So, average time that for which single person works is 180 min/ 10 = 18 min.

It means the average time for single person works is 18 min in case of 10 people.

and one thing is clear that the number of people is greater than 10 people when time taken is 2 hours.

So, The Number of people is 12 when time taken is 2 hours.

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Answer:

D.

[tex] \frac{1}{16?} [/tex]

[tex]\huge\text{Hey there!}[/tex]

[tex]\huge\textbf{Equation: }[/tex]

[tex]\mathbf{2^{-4}}[/tex]

[tex]\huge\textbf{Simplify it: }[/tex]

[tex]\mathbf{2^{-4}}[/tex]

[tex]\mathbf{\approx \dfrac{1}{2^4}}[/tex]

[tex]\mathbf{= \dfrac{1}{2\times2\times2\times2}}[/tex]

[tex]\mathbf{= \dfrac{1}{4\times4}}[/tex]

[tex]\mathbf{= \dfrac{1}{16}}[/tex]

[tex]\huge\textbf{Therefore, your answer should be: }[/tex]

[tex]\huge\boxed{\frak{Option\ D. \ \dfrac{1}{16}}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

The coordinate notation is (x-3, y+1).

How can be vector converted into coordinate notation?

Let <a, b> be the vector then the coordinate notation will be

(x + a, y + b)

And if <-a, -b> be the vector then the coordinate notation will be

(x - a, y - b)

We can convert vector into coordinate notation as shown below:

For converting given vector into coordinate, we will use above formula

that is <a, b> = (x + a, y + b>

here a = -3, and b = 1

So, <-3, 1> = (x-3, y+1)

Hence, the coordinate notation is (x-3, y+1).

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The probability that the meeting takes place is 7/24.

Probability is defined as the ratio of the number of favorable outcomes of an event to the total number of possible outcomes(sample space) of the event.

It is given by

P(A) = n(A)/n(S)

Where A - event, S - sample space

From the given data,

The probability, if the engineers arrive in the first hour and the boss arrives in the second hour is 1/8,

So, the meeting will be held i.e., p = 1.

The probability, if all the three arrive in the same hour (first or second)

= 1/8 + 1/8

= 1/4

So, the meeting will be held only if the boss (he may arrive first, second, or last) arrives last, the probability is 1/3

The probability, if one of the engineers arrives in the first hour while the other engineer and the boss arrive in the second hour is

= 1/4

So, the meeting will be held only if the second engineer arrives before the boss and before the first engineer leaves, the probability is 1/3

Thus, the final probability for the meeting to take place is

= (1/8) × 1 + (1/4) × (1/3) + (1/4) × (1/3)

= 7/24

Therefore, the required probability is 7/24.

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