Elena can make 15 pizzas in 3 hours. If the number of pizzas is represented by p and time is represented by t, Write an equation that shows the total number of pizzas made in terms of time.

p = 5t

3t = 15p

p/t = 15

p = 1/5t

Answers

Answer 1
p divided by t = 15 divided by 3 =5 if you have to divide 15 by 3 to see how many pizza´s can be made in 1 hour.
15 pizza's represents p and 3 hours represents t then it will be p divided by t.
Answer 2

Answer:

p = 5t

Step-by-step explanation:

We'll check by plugging in t = 3 and p has to equal 15

p = 5t     ✅

p = 5(3)

p = 15

3t = 15p ❌

3(3) = 15p

9 = 15p

p = 15/9 = 5/3

p/t = 15 ❌

p/3 = 15

p = 45

p = 1/5t ❌

p = 1/5(3)

p = 3/5


Related Questions

Brian runs 7 miles in 50 minutes. At the same rate, how many miles would he run in 75 minutes?

Answers

Answer:

7/50 = x/75

x = 10.5

therefore he would run 10.5 miles in 75 minutes

Answer:

In 75 minutes, she runs (7/50) x 75 = 10.5.

She runs 10.5 miles in 75 minutes.

Step-by-step explanation:

help
According to a recent study, \( 24 \% \) of the USA population is Catholic. The survey also shows that \( 68 \% \) of Catholics are democrat, while \( 98 \% \) of non Catholics are Democrats. What is

Answers

Based on the provided percentages, the probability that a randomly selected person is a Democrat is 90%.

The probability that a randomly selected person is a Democrat can be calculated using the given information. Since 24% of the USA population is Catholic and 68% of Catholics are Democrats, while 98% of non-Catholics are Democrats, the overall probability of being a Democrat can be computed as the weighted average of these probabilities.

Let's assume there is a total population of 100 people for ease of calculation. Given that 24% of the population is Catholic, there are 24 Catholics and 76 non-Catholics.

Out of the 24 Catholics, 68% are Democrats, which amounts to approximately 16 Catholics who are Democrats.

For the non-Catholics, 98% are Democrats, which corresponds to approximately 74 non-Catholics who are Democrats.

Adding up the number of Catholics and non-Catholics who are Democrats gives a total of 16 + 74 = 90 people out of 100 who are Democrats.

Therefore, the probability that a randomly selected person is a Democrat is 90/100, which simplifies to 0.9 or 90%.

Hence, based on the provided percentages, the probability that a randomly selected person is a Democrat is 90%.

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The complete question is:

According to a recent study, 24%  of the USA population is Catholic. The survey also shows that 68% of Catholics are democrat, while 98% of non-Catholics are Democrats. What is the probability that a randomly selected person is Democrat?

PLEASE HELP I WILL MARK BRAINLIEST
The measure of the supplement of an angle is 12 greater than twice the measure of its complement.
a. Measure of the angle = __________°
b. Measure of the supplement = __________°

Answers

a. 12 deg, b. 168 deg

We can create a systems of equations using this information, since supplement angles add up to 180 deg and complementary angles add up to 90 deg, when angle = x deg and supplement = y deg,

x + y = 180

y = 2(90 - x ) + 12

Solving:

x + 2(90 - x) + 12 = 180

-x + 180 + 12 = 180

x = 12

12 + y = 180

y = 168

Suppose you purchased a house for $250,000, and three years later it is valued at $280,000. How much equity do you have in the house?

Answers

The equity in the house after three years is $30,000.

Equity in a house is the difference between the current market value of the house and the outstanding mortgage balance (if any). Since the problem does not mention any outstanding mortgage balance, we can assume that the entire purchase price of $250,000 was paid upfront.

Therefore, the equity in the house after three years is:

$280,000 (current market value) - $250,000 (original purchase price) = $30,000

So, you have $30,000 equity in the house after three years.

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the steps alana used to solve the equation x - 7 equals 18 are shown drag a reason for each step to the table​

Answers

The steps Alana used to solve the equation x - 7 = 18 are:

Step 1: Add 7 to both sides to isolate x: x - 7 + 7 = 18 + 7.

Step 2: Simplify and solve for x: x = 25.

Alana used the following steps to solve the equation x - 7 = 18:

Step 1: Add 7 to both sides to isolate x: The reason for adding 7 to both sides is to eliminate the constant term (-7) from the left-hand side of the equation and to move it to the right-hand side. By doing so, Alana isolates the variable term (x) on the left-hand side and obtains x = 18 + 7.

Step 2: Simplify and solve for x: The reason for simplifying the right-hand side of the equation is to obtain the value of x that makes the equation true. By adding 18 and 7, Alana gets 25, which is the solution to the equation.

In summary, Alana used the addition property of equality to add the same value to both sides of the equation, in order to isolate the variable term and solve for x.

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When comparing classification model performance, the model with the highest _______________________ should be used.
a. Depends on the situation
b. Recall
c. Precision
d. Accuracy
e. F-measure
Expected profit is the profit that is expected per customer that receives the targeted marketing offer.
Select one:
a. True
b. False

Answers

When comparing classification model performance, the model with the highest (d) accuracy should be used. This statement is true. The expected profit is the estimated profit a company anticipates to earn per customer who accepts the targeted marketing offer.

Classification is a significant and effective tool for solving various real-life problems like fraud detection, customer segmentation, credit scoring, etc. However, one crucial aspect of classification is the performance evaluation of a model. Performance evaluation is necessary to ensure the optimal working of a classification model.

Measuring a model's performance requires some metrics to assess the model's effectiveness.

Accuracy, Precision, Recall, and F-Measure are some of the standard metrics to evaluate classification models. Of these metrics, the most important metric is accuracy.

Accuracy is the number of true predictions (True Positive and True Negative) divided by the total number of predictions. The more accurate the model is, the more precise its predictions.

Therefore, when comparing classification model performance, the model with the highest accuracy should be used.

As for the second question, expected profit is the profit that is expected per customer that receives the targeted marketing offer. The expected profit is calculated using several factors such as the customer's response rate, conversion rate, expected revenue, and the cost of the campaign. It is used to determine if a marketing campaign is profitable or not, and it helps businesses to allocate their resources accordingly.

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Drew runs around a circular track each morning. The diameter of the track is approximately

1

4

mile. Approximately how far does Andrew run if he completes 11 laps around the track?

Answers

If Drew completes 11 laps around the circular track with a diameter of approximately 1/4 mile, he runs approximately 8.635 miles.

The distance that Drew runs can be calculated using the formula: distance = circumference x number of laps. The circumference of a circle can be found by multiplying its diameter by pi (π), which is approximately equal to 3.14.

Given that the diameter of the track is approximately 1/4 mile, its radius is 1/8 mile (since the radius is half of the diameter). Therefore, the circumference of the track is 2 x pi x 1/8 mile, which simplifies to pi/4 mile or approximately 0.785 miles.

To find the distance Drew runs in 11 laps, we simply multiply the circumference of the track by 11.

distance = 0.785 miles/lap x 11 laps

distance = 8.635 miles

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Complete question:

What is the approximate distance that Drew runs if he completes 11 laps around a circular track with a diameter of approximately 1/4 mile?

Justin is taking an anti-inflammatory drug and the instructions say that the patient must receive 11 mg for each 20 kg of body weight. If Justin weighs 253 lb, what dosage should he receive?

Answers

First, we need to convert 253 lb to kilograms. Given that 1 kg is equivalent to 2.205 lb, then:

\(253\text{ lb = }253\text{ lb}\cdot\frac{1\text{ kg}}{2.205\text{ lb}}\approx114.74\operatorname{kg}\)

The dosage Justin should receive is directly proportional to his weight. Given that a dosage of 11 mg corresponds to a weight of 20 kg, then to find the dosage that corresponds to 114.74 kg we can use the next proportion:

\(\frac{11\text{ mg}}{x\text{ mg}}=\frac{20\operatorname{kg}}{114.74\operatorname{kg}}\)

Solving for x:

\(\begin{gathered} 11\cdot114.74=20\cdot x \\ \frac{1262.14}{20}=x \\ 63.1\approx x \end{gathered}\)

He should receive a dosage of 63.1 mg

which of the following is a correct statement regarding the null hypothesis? the null hypothesis is sometimes called the alternative hypothesis. the null hypothesis is the one the researcher cares the most about. the null hypothesis claims the opposite of what the researcher believes. the null hypothesis is usually more accurate than the research hypothesis.

Answers

The correct statement regarding the null hypothesis is: the null hypothesis claims the opposite of what the researcher believes.

The null hypothesis is the claim that no relationship exists between two sets of data or variables being analyzed. The

null hypothesis is that any experimentally observed difference is due to chance alone, and an underlying causative

relationship does not exist, hence the term "null".

In research, the null hypothesis is a statement of no effect or no relationship between variables, while the alternative

hypothesis represents the effect or relationship the researcher is interested in demonstrating.

The purpose of statistical testing is to determine whether there is enough evidence to reject the null hypothesis in

favor of the alternative hypothesis.

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Suppose the angle of inclination of the hill
is 10° and when the driver (who is going at a speed of 25 mph) sees the deer and slams on the breaks, he is 25 m away.
The coefficient of kinetic friction is still 0.4.
4. What is the magnitude of the acceleration the car undergoes? Express your answer in m/s2 and input the number
only.
5. Does the drive hit the deer?
A. Yes
B. No

Answers

The magnitude of the acceleration is approximately -0.267 m/s², and the car does not hit the deer.

To find the magnitude of acceleration, we need to consider the forces acting on the car. The gravitational force component parallel to the incline is given by \(\( F_g = m \cdot g \cdot \sin(10^\circ) \)\), where \(\( m \)\) is the mass of the car and \(\( g \)\) is the acceleration due to gravity. The frictional force opposing the motion is given by \(\( F_f = m \cdot g \cdot \cos(10^\circ) \cdot \mu_k \)\), where \(\( \mu_k \)\) is the coefficient of kinetic friction.

The net force acting on the car is the difference between the gravitational force and the frictional force: \(\( F_{\text{net}} = F_g - F_f \)\).

Using Newton's second law, \(\( F_{\text{net}} = m \cdot a \)\), where \(\( a \)\) is the acceleration. We can solve for \(\( a \)\) by rearranging the equation: \(\( a = \frac{F_{\text{net}}}{m} \)\).

Substituting the given values and calculating the magnitude of acceleration:

\(\[ a = \frac{m \cdot g \cdot \sin(10^\circ) - m \cdot g \cdot \cos(10^\circ) \cdot \mu_k}{m} \\\)

\(\quad = g \cdot (\sin(10^\circ) - \cos(10^\circ) \cdot \mu_k) \]\)

Now, let's calculate the value of the acceleration. We are given that the speed of the car is 25 mph, which is equivalent to \(\( 25 \times \frac{1609}{3600} \)\) m/s.

Using \(\( g = 9.8 \, \text{m/s}^2 \)\) and \(\( \mu_k = 0.4 \)\), we have:

\(\[ a = 9.8 \cdot (\sin(10^\circ) - \cos(10^\circ) \cdot 0.4) \approx -0.267 \, \text{m/s}^2 \]\)

The negative sign indicates that the acceleration is in the opposite direction of the car's motion.

To determine if the car hits the deer, we need to compare the stopping distance of the car to the distance to the deer. The stopping distance can be calculated using the equation: \(\( d = \frac{v^2}{2 \cdot a} \)\), where \(\( v \)\) is the initial velocity and \(\( a \)\) is the acceleration.

Substituting the given values, we have:

\(\[ d = \frac{(25 \times \frac{1609}{3600})^2}{2 \cdot (-0.267)} \approx 596 \, \text{m} \]\)

Since the stopping distance (596 m) is greater than the distance to the deer (25 m), the car does not hit the deer.

Therefore, the magnitude of acceleration is approximately \(\( -0.267 \, \text{m/s}^2 \)\) and the car does not hit the deer.

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Arrange all three number cards below to create the largest even three-digit number.
5 8
7
Answer:

Answers

Answer:

758

Step-by-step explanation:

The largest number that can be made is 875 but it ends in 5 which makes it an odd number.

The only even number is 8 so we have to use it last.

7 is bigger than 5 so 7 goes first which means it's 758

First correct answer gets brainliest! 25 points! Please HELP! I will rlly appreciate it! The average of Amy's, Ben's, and Chris's ages is 6. Four years ago, Chris was the same age as Amy is now. In four years, Ben's age will be 3/5 of Amy's age at that time. How many years old is Chris now?

Answers

Answer:

I think it is 10

Step-by-step explanation:

hope this helps

I want pictures of how you did it on paper! please please please help me

I want pictures of how you did it on paper! please please please help me

Answers

Answer:

<y = 110 degrees

<x = 70 degrees

Step-by-step explanation:

Hi, I am not gonna do this on paper, but I will try and explain it well.

70 degrees and <y are supplementary angles, which means the sum of their measurments adds up to 180 degrees. Therefore, 180-70 gives us <y

So, <y = 110 degrees.

Then, to find <x, we know the angle opposite it is 70 degrees, so it too is 70 degrees (I forgot the theorem for this but it exists lol)

therefore,

<y = 110 degrees

<x = 70 degrees

This is the method to get the answer
I want pictures of how you did it on paper! please please please help me

How do you find the number of complex roots in a polynomial?

Answers

Descartes rule of signs gives partial information. The rule says the number of real positive roots is less than or equal to the number of sign changes. For a polynomial with real coefficients the complex roots (which are not real) appear in conjugate pairs i.e., if a+ib
a
+
i
b
is a root then a−ib
a

i
b
is also a root. Since degree of polynomial is five therefore it has at least 1 real root. Thus number of complex root(s) (which are not real) is either 0, 2 or 4.

7Use the compound interest formulas Aand A = Pert to solve. Find the accumulatedvalue of an investment of $4000 at 11% compounded continuously for 5 years.= Pp(1+.)"nO $6,915.66O $6,933.01O $6,928.99O $6,832.58

7Use the compound interest formulas Aand A = Pert to solve. Find the accumulatedvalue of an investment

Answers

Given:

Value of an investment of $4000 at 11% compounded continuously for 5 years.

Required:

Find the accumulated value of an investment.

Explanation:

We know that

\(A=Pe^{rt}\)

Where, P = Original principal sum

r = Nominal annual interest rate

t = length of time the interest is applied.

Now,

\(\begin{gathered} A=4000\times e^{(0.11\times5)} \\ A=6933.01 \end{gathered}\)

Answer:

Hence, option b is correct.

Carla has a rectangular garden in her backyard. The width of the garden is 9 meters. The area of the garden is 360 square meters. What is the length of the garden? Show your work.​

Answers

Answer:

l = 40 m

Step-by-step explanation:

The formula for area of a rectangle is

A = lw, where

A is the area in square units,l is the length,and w is the width

Step 1:  Since we're given the area and width, we plug in these two values for A and w and to solve for l (length):

360 = 9l

Step 2:  Divide both sides by 9 to solve for l

(360 = 9l) / 9

40 m = l

Optional Step 3:  We can check our answers by checking that the product of 40 and 9 is 360

40 * 9 = 360

360 = 360

What is the equation of the line that passes through the point (-3, 7) and has a
slope of 1/3?

Answers

Answer:

y=\(\frac{1}{3}\)x+8

Marvin had 2 spools of fishing line. Each spool had
10 yards of fishing line. Marvin used 4 yards from
each spool. How many yards of fishing line were left
on the spools?
$27.12
Card 9

Answers

The answer would be 12yards of fishing line :)

A local little league has a total of 60 players, of whom 20% are right-handed. How many right-handed
players are there?
There are right-hahided players.
(Type a whole number.)

Answers

Answer:

The answer is 12 hope it helps.

Step-by-step explanation:

none

Answer:

12 players

Step-by-step explanation:

You multiply 60 by .20.  60x.20= 12! Please mark me brainliest!

The figure below shows a triangular piece of cloth:

What is the length of the portion BC of the cloth? (1 point)

The figure below shows a triangular piece of cloth:What is the length of the portion BC of the cloth?

Answers

Answer:

BC / 8 = sin 35° by definition.

Step-by-step explanation:

determine which point from the specified set satisfies the system of equations. y=3x−3 and y=−x 2

Answers

There are two points that satisfy the system of equations:

(0.79, 0.37)

(-3.79, -12.37)

The system of equations is:

y = 3x - 3

y = -x^2

To determine which point from a specified set satisfies the system of equations, we need to find the values of x and y that satisfy both equations simultaneously.

Substituting y = 3x - 3 into the second equation, we get:

3x - 3 = -x^2

Rearranging this equation, we get:

x^2 + 3x - 3 = 0

Using the quadratic formula, we can solve for x:

x = (-3 ± sqrt(3^2 - 41(-3))) / (2*1) = (-3 ± sqrt(21)) / 2

Therefore, there are two possible values of x that satisfy the system of equations:

x = (-3 + sqrt(21)) / 2 ≈ 0.79

x = (-3 - sqrt(21)) / 2 ≈ -3.79

To find the corresponding values of y, we can substitute these values of x into either equation. For example, if we use y = 3x - 3, we get:

y ≈ 0.37 (when x ≈ 0.79)

y ≈ -12.37 (when x ≈ -3.79)

Therefore, there are two points that satisfy the system of equations:

(0.79, 0.37)

(-3.79, -12.37)

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URGENT PLEASE HELP!!!! GIVING BRAINLIEST!! If you answer this correctly ill answer some of your questions you have posted! (39pts)

URGENT PLEASE HELP!!!! GIVING BRAINLIEST!! If you answer this correctly ill answer some of your questions

Answers

Answer:

The first transit on one side of the trench is 18 ft higher than the other side of the trench. The transit is set at 4.5 above ground, therefore the transit lens is 18' + 4.5' = 22.5' above the location on the other side of the trench. The angle of depression is the angle formed by the horizontal and the line of sight to the other side and it is given as 31°. This forms a right angle triangle with height of 22.5' and an interior angle of 31°, Then

tan( 31°) = Height / base, with the base representing the width of the trench

base = Height / tan(31°) = 22.5' / tan(31°) = 37.45' is the width of the trench

Answer:

So the trench is 37.5 feet wide

Step-by-step explanation:

The trench with telescope is 18 feet higher than the other.

The height of telescope is 4.5 feet.

Total height = 18 + 4.5 = 22.5

Now, we can see in the figure that the distances between telescope and the opposite trench, the height and width makes a right angled triangle.

So, perpendicular = total height = 22.5

base = wideness of the trench

We know,

Tan 31 = p/b

tan 31 = 22.5/b

b = 22.5 / 0.6

b = 37.5

Solve this equation but the answer is in decimals/ 10z = 36

Answers

10z = 36

z = 36/10 = 3.6

what is the equation?

Answers

Answer:what equation ?

Step-by-step explanation:

Answer:

to what ..............

what line is a transversal​

what line is a transversal

Answers

Answer:

C is your answer mate, hope it helps

Answer:

C

Step-by-step explanation:

Hope makatulong keep learning

Which equation has the same solution as
x2+4x-13=-7

Answers

Answer:

6x - 3 + 4x = 13

10x - 3 = 13

10x = 16

x = 1.6

Any equation whose solution is    x=1.6   has the same solution as this one has.

Step-by-step explanation:

I agree with the top answer because he explained it very well

2x + 2y= -6

-2x + y =12
its elimination method

Answers

Answer: (-5, 2)

2x + 2y = -6
-2x + y = 12
3y = 6
/3 /3
y = 2
(-2x and 2x cancels out)


Now we substitute y(2) into one of our equations (2x + 2y = -6 or -2x + y = 12)

2x + 2y = -6
2x + 2(2) = -6
2x + 4 = -6
- 4 -4
2x = -10
/2 /2
x = -5

(x,y) -> (-5, 2)


Check your answer:
2x + 2y = -6
2(-5) + 2(2) = -6
-10 + 4 = -6
-6 = -6
This statement is true, which makes our answer correct.


Hope this helps!

(a) Attendance at the Accra Sports Stadium was alysed by the General Secretary, Prosper Harrison Addo. The analysis demonstrated that spectators consisted of 70% males. If seven people are randomly selected from the spectators during a football match, What is the probability that 4 of them are males? (3 marks) i 11. Find the probability that at most 5 of them are females (4 marks)

Answers

a) The probability of randomly selecting 4 males out of 7 spectators, given that 70% of the spectators are males, can be calculated using the binomial probability formula.

b) To find the probability that at most 5 of the randomly selected spectators are females, we need to calculate the cumulative probability of selecting 0, 1, 2, 3, 4, and 5 females from the total number of selected spectators.

a) To calculate the probability of selecting 4 males out of 7 spectators, we can use the binomial probability formula:

P(X = k) = C(n, k) * p^k * (1 - p)^(n - k)

Where:

- n is the total number of trials (number of people selected)

- k is the number of successful trials (number of males selected)

- p is the probability of success in a single trial (probability of selecting a male)

- C(n, k) is the binomial coefficient, calculated as C(n, k) = n! / (k! * (n - k)!)

In this case, n = 7, k = 4, and p = 0.70 (probability of selecting a male). Therefore, the probability of selecting 4 males out of 7 spectators is:

P(X = 4) = C(7, 4) * (0.70)^4 * (1 - 0.70)^(7 - 4)

b) To find the probability that at most 5 of the selected spectators are females, we need to calculate the cumulative probability of selecting 0, 1, 2, 3, 4, and 5 females. This can be done by summing the individual probabilities for each case.

P(X ≤ 5 females) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5)

To calculate each individual probability, we use the same binomial probability formula as in part a), with p = 0.30 (probability of selecting a female).

Finally, we sum up the probabilities for each case to find the probability that at most 5 of the selected spectators are females.

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Study the following program:
x = 1 while True: if x % 5 = = 0: break print(x) x + = 1 What will be the output of this code?

Answers

The output of the following code snippet will be 1, 2, 3, and 4.

The reason is that the while loop runs infinitely until the break statement is executed. The break statement terminates the loop if the value of x is divisible by 5. However, the value of x is incremented at each iteration of the loop before checking the condition. Here is the step-by-step explanation of how this code works:

Step 1: Assign 1 to x.x = 1

Step 2: Start an infinite loop using the while True statement.

Step 3: Check if the value of x is divisible by 5 using the if x % 5 == 0 statement.

Step 4: If the value of x is divisible by 5, terminate the loop using the break statement.

Step 5: Print the value of x to the console using the print(x) statement.

Step 6: Increment the value of x by 1 using the x += 1 statement.

Step 7: Repeat steps 3-6 until the break statement is executed.

Therefore, the output of the code will be: 1 2 3 4.

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HELP ASAP

what is the median of the data set 92,63,22,80,63,71,44,35?

63

80

92

35

Answers

Answer: 63

Step-by-step explanation:

trust !

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The following sentence has a danging modifier.After reading the book it was based on several key plot elements were missing from the movie.Which revision best corrects the error in this sentence?Several key elements were missing from the movie, I noticed, after I read the book it was based onI noticed that several key plot elements were missing from the movie after I read the book it was based onAfter reading the book that the movie was based on, I noticed that the movie was missing several key plot elements.I noticed, after I read the book it was based on that several key plot elements were missing from the movie. which of the following crosses will not produce offspring with the recessive phenotype? select all that apply. a.tt x tt b.tt x tt c.tt x tt tt x tt d.tt x tt Explain the importance of: Fourteen Points Great Migration League of Nations Red Scare Treaty of Versailles Palmer raids reparations The net of a right circular cylinder is shown.net of a cylinder where the radius of each circle is labeled 5 meters and the height of the rectangle is labeled 8 metersWhat is the surface area of the cylinder? Use = 3.14 and round to the nearest whole number. 220 m2 283 m2 408 m2 628 m2 a stretch of shoreline is 20 miles long. how long (in inches) would it appear on a map at a scale of 1:24,000? will give brainliest to first correct answer. find missing length indicated consider two bonds, bond a and bond b. both bonds are redeemable at their par value of 1000 in n years and are priced using the same yield rate. bond a has 4.4% semiannual coupons and costs 825.28. bond b has 4.9% semiannual coupons and costs 868.96. determine the nominal yield rate, converted semiannually. Determine correctness of each statement below and choose any 10 statements that are rue. 1) Characteristic velocity is commonly denoted by c, which stands for combustion pressure built up in the chamber and is used to compare between efficiency of combustion. 2) Characteristic velocity is a useful parameter to compare between propellant at the same condition of nozzle throat and mass flow rate. 3) Higher specific impulse performance means less propellant consumption required for thrust generation. 4) Propellant with heavy molecular weight is likely to have lower specific impulse compared to light weight one. 5) Solid propellant rockets generally have reignition ability and storability, and thus they are good options for military applications. 6) Monopropellant rockets have a higher nozzle exit velocity of propellant particles than that of solid rockets. 7) Air breathing engines takes in air from the surroundings and does not carry oxidizer (air). 8) For air breathing engines, the amount of air consumed is much higher than that of fuel. 9) Turbo fan engine's air to fuel mass consumption rate ratio is higher than that of Turbo jet. 10) For airbreathing engines, thrust is produced by momentum change of air. 11) Low-bypass turbofan engines typically have a bypass ratio of less than 2 . 12) High-bypass engines have bypass ratios from 5 to 8 . 13) Gas turbine engines can be analysed using the Brayton cycle. 14) Turbo fan engines have a better fuel efficiency than turbojets for the same thrust generation. 15) Aircrafts with turbo fan can achieve higher speeds than those with turboprop engines. 16) Shorter take-off distance is required for aircrafts with turbofans than those with turbojets, as greater thrust is produced for the same fuel consumption. 17) One of drawbacks of Turbo fan engine is the large frontal area with an increased drag especially for large by pass ratio engine. 18) Specific fuel consumption required for Turbo fan engines is lower than that for Turbojet engines. 18) Specific fuel consumption required for Turbo fin engines is lower than that for Turbojet engines. 19) High bypass turbo fan engines consume more fuel than low bypass turbo fan engines for the same thrust generation. 7 20) Turbo fan engines consume more fuel than Turbo prop for the same thrust generation. 21) Using the same airflow consumed, high bypass ratio turbo fan engines produce more thrust than low bypass ratio turbo fan engines. 22) Turbo jet consumes more airllow than turbo prop for the same thinst generation. 23) The figure below shows unmixed flow turbo fan engine. 24) Turbo jets bave simper system configuration compared to other gas turbine engines. 25) Long take off distance is required for a turbo jet due to low thrust at low speed. 26) For a tarbo prop engine, momentum change of air is made primarily by propeller, 90%, and to a lesser degree by nozzle, 10%. 27) Turbo prop is economical over a wide range of speeds ranging from low speeds, where pure jet engine is uneconomical, to high speeds around 700 km/h where propeller efficiency decresess. 28) Turbo prop requires a reduction gear, which consumes space, increases cost, and consumes: some of energy developed by turbine. 29) For turbo prop, at high speeds, due to shock and flow separation, there is rapid decrease in propeller efficiency thereby patting maximum speed limit on the aircraft. 30) Ramjet cannot start on its own since there is no compressor. 31) Ramjet has simple system configuration with no moving parts and thas almost no maintenance is required. 32) Ramjet is not suitable for a wide range of speeds as it is difficult to design a diffuser (inlet) that deliver good performance over wide range of speeds. 33) Due to high air speods, ramjet combustion chamber requircs flame holder. help meeeeeeeeeeeeeee pleaseee Question 2.5. (location of a bee swarm) A swarm of bees is released from a certain point. The proportion of the swarm located at least 2 m from the point of release after 1 hour is a random variable that is exponentially distributed, with a = 2. : 2 (a) Find the expected proportion under the given conditions. (b) Find the probability that fewer than 1/3 of the bees are located at least 2 m from the point release after 1 hour. What is the solution of the system of equations?Help What is meant by internal validity? What are the possiblethreats to the internal validity of a randomized controlledexperiment? Give examples All of the following muscles insert onto metacarpal bones EXCEPT the ________.A) flexor carpi ulnarisB) flexor carpi radialisC) palmaris longusD) extensor carpi radialis longus what is the mass of an object that has a density of 0.7g/cm^3 and a volume of 8cm^3? (The density of an object has the equation d= m/v) What decimal part of 560 is 70