Rank the following kinds of bonds in order from least secure to most secure: Municipal, Corporate, Treasury

Answer:

We can start by dividing both sides of the equation cos(Ф) + 2sin(Ф) = 0 by sin(Ф):

cos(Ф)/sin(Ф) + 2 = 0

We can then use the identity cot(Ф) = cos(Ф)/sin(Ф) to substitute for cos(Ф)/sin(Ф):

cot(Ф) + 2 = 0

Subtracting 2 from both sides, we get:

cot(Ф) = -2

Therefore, we have shown that cos(Ф) + 2sin(Ф) = 0 can be expressed as cot(Ф) = -2.

Triangle ADC also has a right angle at D, making it a right-angled triangle.

The exact value of x be 2.25.

The hypotenuse's square is equal to the sum of its two other side squares of a right-angled triangle, according to the Pythagoras theorem.

Triangle ADB exists even a right-angled triangle with right-angle at D.

Therefore, Base of Triangle ADB = BD = 4,

Height of Triangle ADB = AD = 3,

Hypotenuse of Triangle ADB = AB

Using the Pythagoras Theorem, we get,

\($\left[(A D)^2+(B D)^2\right]=(A B)^2$\)

substitute the values in the above equation, we get

or,\($(A B)^2=\left[(3)^2+(4)^2\right]$\)

simplifying the equation, we get

or, \($(A B)^2=[9+16]$\)

or, \($(A B)^2=25$\)

or, \($\sqrt{(A B)^2}=\sqrt{25}$\)

or, AB = 25

Triangle ADC is also a right-angled triangle with right-angle at D.

Therefore, Base of Triangle ADC = DC = x

Height of Triangle ADC = AD = 3,

And, Hypotenuse of Triangle ADC = AC

Using the Pythagoras Theorem, we get,

\(& {\left[(D C)^2+(A D)^2\right]=(A C)^2} \\\)

simplifying the equation, we get

\(& \text { or },(A C)^2=\left[(3)^2+(x)^2\right] \\\)

\(& \text { or },(A C)^2=\left[9+x^2\right]\)

Triangle ABC is also a right-angled triangle with right-angle at A. Therefore, Base of Triangle ABC = AC,

Height of Triangle ABC = AB = 5,

And, Hypotenuse of Triangle ABC =  BC = (4 + x)

Using the Pythagoras Theorem, we get,

\(& {\left[(A C)^2+(A B)^2\right]=(B C)^2} \\\)

\(& \text { or, }(B C)^2=\left[(A C)^2+(A B)^2\right] \\\)

substitute the values in the above equation, we get

\(& \text { or, }(4+x)^2=\left[\left(9+x^2\right)+(5)^2\right] \\\)

simplifying the equation, we get

\(& \text { or, }\left[4^2+(2 \times 4 \times x)+x^2\right]=\left[9+x^2+25\right] \\\)

\(& \text { or, }\left[16+8 x+x^2\right]=\left[(9+25)+x^2\right] \\\)

\(& \text { or, }\left[16+8 x+x^2\right]=\left[34+x^2\right] \\\)

\(& \text { or, }\left[16+8 x+x^2\right]-\left[34+x^2\right]=0 \\\)

\(& \text { or, },(16-34)+8 x+\left(x^2-x^2\right)=0 \\\)

8x - 18 = 0

8x = 18

\(& \text { or, } x=\frac{18}{8} \\\)

\(& \text { or, } x=\frac{9 \times 2}{4 \times 2} \\\)

\(& \text { or, } x=\frac{9}{4} \\\)

Therefore, the value of x be 2.25.

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The expression simplifies to |2x| = -2x, when x<0 by definition of absolute value

If x<0, then the expression |2x| simplifies to -2x.

The absolute value of a number is the distance of the number from zero on the number line.

Since x is negative in this case, 2x will be negative as well.

Taking the absolute value of -2x will give us the opposite of -2x, which is 2x.

However, since we know that x<0, this means that -2x will always be a positive number.

Hence, the expression simplifies to |2x| = -2x, when x<0.

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Complete question

Simplify the expression |2x|  when x is less than 0, x<0

Answer:

answer: negative five eighths

The solution to the expression one half cubed − 6 ÷ square root of 64 is A. negative five-eighths.

Given a fractional expression:

One half cubed − 6 ÷ square root of 64

It is required to find the value of the expression.

This can be numerically written as:

\((\frac{1}{2} )^3-6\div\sqrt{64}\)

It is known that:

\(\sqrt{64}=8\)

So, the expression can be written as:

\((\frac{1}{2} )^3-6\div8\)

Now, \((\frac{1}{2} )^3=\frac{1}{2^3}\)

                \(=\frac{1}{8}\)

So, the expression becomes:

\((\frac{1}{8} )-6\div8\)

Using the BODMAS rule, division has to be done first before subtraction.

So, the expression becomes:

\((\frac{1}{8} )-\frac{6}{8}=-\frac{5}{8}\)

Hence, the correct option is A. negative five-eighths.

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Answer:

Step-by-step explanation:

For a, (6 times 2)

For b, (40-15)

For c, (15 divided by 5)

For d, I am not sure

I think there might be a mistake if I am right

If I am right it is (15 divided by 5 plus 3) for d

The expected count of arrivals to the second compartment is 200.

To calculate the expected count of arrivals to the second compartment, we first need to assume that the rats have an equal chance of going to each compartment.

Since there are 5 compartments, the probability of a rat going to any compartment is 1/5.
Next, we multiply the total number of trials (1000) by the probability of going to the second compartment (1/5).
Expected count for compartment #2 = (Total trials) × (Probability of going to compartment #2)
Expected count for compartment #2 = 1000 × (1/5)
Now, we calculate the result:
Expected count for compartment #2 = 1000 × 0.2
Expected count for compartment #2 = 200.

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Answer: 12m+1

Step-by-step explanation:

\(\frac{1}{2} (4+20m)+2m-1\\2+10m+2m-1\\12m+1\)

Answer:

It's A, D, and F

Step-by-step explanation:

The answer to the question is 8a+26 so everything else that equals that is the answer.

Okay, here we have this:

Considering the provided information, we are going to calculate the requested volume, so we obtain the following:

Then we will substitute in the following formula for the volume of a triangular prism:

Volume of the prism = Area of the triangle * Height of the prism

Volume of the prism = (5m*2m)/2 * Height of the prism

Volume of the prism = (10m^2)/2 * 15m

Volume of the prism = (5m^2) * 15m

Volume of the prism = (5m^2) * 15m

Answer:

60% of the total calories is from fat

Step-by-step explanation:

We already have our first value 180 and the second value 108. Let's assume the unknown value is Y which answer we will find out.

As we have all the required values we need, Now we can put them in a simple mathematical formula as below:

STEP 1Y =

108

180

By multiplying both numerator and denominator by 100 we will get:

STEP 2Y =

108

180

×

100

100

=

60

100

STEP 3Y = 60

Answer:

f(x) = 2

Step-by-step explanation:

1/2x - 3

just substitute x for 10.

1/2 * 10 - 3

5 - 3

2

Answer:

f(x)=2

Step-by-step explanation:

Because you would substitue x into the equation

f(x) = 1/2(10)-3

f(x) = 5-3

f(x) = 2

Hope it helps!

Answer:

16 deliveries

Step-by-step explanation:

238 ≤ 10d + 78

160 ≤ 10d

16 ≤ d

Thus, he needs to make at least 16 deliveries to make at least $238 in one day.  Any less than 16 deliveries will cause him to fall short of his goal and any more than 16 deliveries will cause him to exceed his goal.

(c) The argument is valid, and we can conclude that Penelope missed class because she got a detention.

(e) The argument is valid, and we can conclude that Penelope did not miss class because she got an A and did not get a detention.

(c) To prove this argument's validity, we need to define the predicates and express the hypotheses and conclusion using them:

Let "M(x)" be the predicate "x missed class", and "D(x)" be the predicate "x got a detention".

Hypotheses: M(Penelope), D(Penelope)

Conclusion: M(Penelope)

Using modus ponens, which states that if P implies Q and P is true, then Q must be true, we can conclude that M(Penelope) is true:

From M(Penelope) and "Every student who missed class got a detention", we have D(Penelope)

From D(Penelope), we have M(Penelope)

So, the argument is valid, and we can conclude that Penelope missed class because she got a detention.

(e) To prove this argument's validity, we need to define the predicates and express the hypotheses and conclusion using them:

Let "M(x)" be the predicate "x missed class", "D(x)" be the predicate "x got a detention", and "A(x)" be the predicate "x got an A".

Hypotheses: A(Penelope), ~D(Penelope)

Conclusion: ~M(Penelope)

Using modus tollens, which states that if P implies Q and Q is false, then P must be false,

we can conclude that M(Penelope) is false:

From A(Penelope) and "Every student who missed class or got a detention did not get an A",

we have ~M(Penelope) & ~D(Penelope)

From ~D(Penelope), we have ~M(Penelope)

So, the argument is valid, and we can conclude that Penelope did not miss class because she got an A and did not get a detention.

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The given information does not provide any clear indication for determining the position that should be taken on 3/01 and 3/02. Without additional information, it is not possible to make a decision. The table only displays the closing prices of the July GBP Futures Contract on different days, and it is unclear what trading strategy or what scenario is being considered. Additional information about the goals and objectives, the market conditions, and other relevant factors would be necessary to make a decision about trading positions.

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Explanation:

Refer to the diagram below. We have a right triangle with known horizontal leg 18, and unknown vertical leg x. The hypotenuse is 30.

Let a = x, b = 18, c = 30.

Apply the Pythagorean theorem to solve for x

a^2 + b^2 = c^2

x^2 + 18^2 = 30^2

x^2 + 324 = 900

x^2 = 900-324

x^2 = 576

x = sqrt(576)

x = 24

The top of the ladder reaches 24 feet high.

The equation y - 5 = (4/3)(x - 6) can be written in point-intercept form as y = (4/3)x - 3, where the slope is 4/3 and the y-intercept is -3.

The point-slope form of a line is y - y1 = m(x - x1), where m is the slope and (x1, y1) is a point on the line. The point-slope form of a line can be converted to the slope-intercept form of a line, y = mx + b, where b is the y-intercept.

The equation y - 5 = (4/3)(x - 6) can be rearranged into the point-slope form of a line by isolating the y-term and simplifying: y - 5 = (4/3)(x - 6)y - 5 = (4/3)x - 8y = (4/3)x - 3

Now, we have the point-slope form of the line with slope 4/3 and y-intercept -3.

To convert this to the slope-intercept form of a line, we simply rearrange the equation to solve for y:y = (4/3)x - 3 This is the slope-intercept form of the line, where the slope is 4/3 and the y-intercept is -3.

Thus, the equation y - 5 = (4/3)(x - 6) can be written in point-intercept form as y = (4/3)x - 3, where the slope is 4/3 and the y-intercept is -3.

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Answer:

0.375

Step-by-step explanation:

\(AC+CB=AB \\ \\ 4n+3+8n+7.5=15 \\ \\ 12n+10.5=15 \\ \\ 12n=4.5 \\ \\ n=0.375\)

Answer:

1/8

Step-by-step explanation:

Explanation:

A = set of odd numbers = {1,3,5}

B = set of factors of 12 = {1,2,3,4,6}

A U B = union of set A and set B

A U B = {1,3,5} union {1,2,3,4,6}

A U B = {1,3,5,       1,2,3,4,6}

A U B = {1,2,3,4,5,6}

The set union operation combines two sets into one bigger set. Duplicates are tossed out.

There are 6 elements in the set A U B = {1,2,3,4,5,6} out of 6 faces of the number cube.

Therefore, the probability event  A U B happens is 6/6 = 1 = 100%; i.e. it is guaranteed to happen. Each face of the number cube is either odd, a factor of 12, or both.

Side notes:

a) P(BL') = 0.77

b) P(BL) + P(G) = 0.380

c) 0.012167 = 0.012 to 3 d.p

d) 0.456533 = 0.456 to 3 d.p

e) 0.543467= 0.543 to 3 d.p

Probability of brown M&M's = P(Br) = 0.12

Probability of yellow M&M's = P(Y) = 0.15

Probability of red M&M's = P(R) = 0.12

Probability of blue M&M's = P(BL) = 0.23

Probability of orange M&M's = P(O) = 0.23

Probability of green M&M's = P(G) = 0.15

Total probability = 1

a) The probability that a randomly selected peanut M&M is not blue = 1 - P(BL) = 1 - 0.23 = 0.77

b) Tblue he probability that a randomly selected peanut M&M is blue or green = P(BL) + P(G) = 0.23 + 0.15 = 0.38

c) The probability that three randomly selected peanut M&M's are all orange= P(O) × P(O) × P(O) = 0.23 × 0.23 × 0.23 = 0.012167

d) If you randomly select three peanut M&M's, compute that probability that neither of them are orange

This probability = P(O') × P(O')×P (O')

P(O') = 1 - P(0) = 1 - 0.23 = 0.77

P(NO)=P(O') × P(O')  × P(O')= 0.77 × 0.77× 0.77 = 0.456533

e) If you randomly select three peanut M&M's, compute that probability that at least one of them is Orange

let the probability of at least 1 of  them being orange be P(AO)

let the probability of none of them being orange be  P(NO)

we know that

P(AO) = 1- P(NO)

          = 1- 0.456533

         =  0.543467

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Answer:

Aircraft A: 403 seats

Aircraft B: 298 seats

Step-by-step explanation:

Let's x represent the seats in Aircraft B

We have the equations:

Aircraft A: (x + 105)

Aircraft B: x

We Know

Their total number of seats is 701; find the number of seats for each aircraft.

We Take

x + (x + 105) = 701

2x + 105 = 701

2x = 596

x = 298 seats

So, there are 298 seats in Aircraft B

Aircraft A has how many seats?

We Take

701 - 298 = 403 seats

So, there are 403 seats in Aircraft A

Final Answers:

Aircraft A: 403 seats

Aircraft B: 298 seats

Answer:

sin(3x) = sin(x + 2x)

          = sinx cos(2x) + cosx sin(2x)

          = sinx [1 - 2sin2x] + cosx [2sinxcosx]

          = sinx - 2sin3x + 2cos2xsinx

Answer:

$632.66 is the amount of money in the savings account after graduation

Step-by-step explanation:

There are 12 grades in high school. So the number of years before graduation here is 6 years.

Now to know the amount of money, the equation to use is;

A(t) = a(1+r)^t

Here;

A(t) = ?

a = 500

r = 4% = 4/100 = 0.04

t = 6 years

Substituting these values into the equation, we have;

A(t) = 500(1 + 0.04)^6

A(t) = 500(1.04)^6

A(t) = $632.66

Answer:

Step-by-step explanation:

take 30 degree as reference angle

using sin rule

sin 30=opposite /hypotenuse

1/2=opposite/2\(\sqrt{3\)

opposite=2\(\sqrt{3\) /2

opposite=\(\sqrt{3\)

Answer:

√3

Step-by-step explanation:

let length of side opposite 30⁰ be x

sin 30= x/ (2√3)

½=x/(2√3)

cross multiply

2x=2√3

x=√3

length opposite 30⁰= √3

Answer:157.5

Step-by-step explanation:becuase mutilpy 4.5x35 that equals 157.5

Answer:

C and E are correct

Step-by-step explanation:

We simply substitute the value of x to see if we can get y for each of the equations

A. y = -3x

2 is not -3(6)

This is wrong

B. y = -3/2x + 6

-3/2x + 6 = -3/12 + 6

This cannot be equal to 2 so this is wrong also

c. y = -1/6x + 3

y = -1/6(6) + 3

= -1 + 3 = 2

This is correct

d. y = 2/3x - 1

This is wrong

2/3(6) - 1 cannot be 2

e. y = 1/2x - 1

2 = 1/2(6) -1

This is correct

F. y = 4(6) - 2 = 24-2 = 22

Answer:

only god knows

Step-by-step explanation:

because they didn't give us an answer on how many text messages anyone sent

Answer:

61.75

Step-by-step explanation:

1900x0.03x1.08333333=61.75

Answer:

256/7 = 36 4/7 =36.571

Step-by-step explanation: