A C-130 is 40,000 kg cargo/transport plane. To land, it has a minimum landing speed of 35 m/s and requires 430 m of stopping distance. A plan is put forward to use the C-130 as an emergency rescue plane, but doing so requires the stopping distance be reduced to 110 m. To achieve this distance, 30 rockets are attached to the front of the plane and fired immediately as the wheels touch the ground. Determine the impulse provided by a single rocket to reduce the stopping distance from 430 m to 110 m. You may assume a friction factor of 0.4 and that friction is the sole source of the deceleration over the stopping distance.

Answer:

63 feet

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

44-12=32 divide then 4

Answer:

Statements 1, 3, and 5

Step-by-step explanation:

$480 = 12 days

To find daily sales, we want to figure out how much is made in 1 day. To do this, we can divide both sides by 12 to keep both sides equal but turn 12 days into 1. Thus, we have

$480/12 = 12/12 days

$40 = 1 day

We can go through the statements one by one.

1. $120 = 3 days

Does this match up with $40 = 1 day?  

Multiply $40 = 1 day by 3 on both sides to compare the two dollar amounts. We get

$120 = 3 days.

The statements match up so this is correct

2. $240 = 7 days

Multiply $40 = 1 day by 7 on both sides

$280 = 7 days

This is false

3. $440 = 11 days

Multiply both sides of $40 = 1 day by 11

$440 = 11 days

This is correct

4. $500 = 13 days

Multiply both sides of $40 = 1 day by 13

$520 = 13 days

This is incorrect

5. $640 = 16 days

Multiply both sides of $40 = 1 day by 16

$640 = 16 days

This is correct

6. $960 = 22 days

Multiply both sides of $40 = 1 day by 22

$880 = 22 days

This is incorrect

Answer:

They gained 4 1/2 yards

Step-by-step explanation:

It was a positive gain because they didn't go back.

Answer:

Since the number is positive number they gained 4 1/2 yards

Step-by-step explanation:

hope this helped have a good day :) :)

Answer: 3.3

Step-by-step explanation: 5 divided by 3 x 2 = 3.3

We should choose Formulas as X in the given series of clicks to calculate formulas automatically.

File < Options < (A) Formulas < Automatic

We should choose Formulas as X in the given series of clicks to calculate formulas automatically.

Therefore, File < Options < (A) Formulas < Automatic

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The complete question is given below:

What would you choose as X in the given series of clicks to calculate formulas automatically: File < Options < X < Automatic?

a. Formulas

b. Language

c. Proofing

d. Advanced

Answer:

\(11 \frac{11}{20}\)

Step-by-step explanation:

Answer:

11.55

Step-by-step explanation:

On solving the equation Ý = 140 + (-0.0667)X, the value for blood pressure is obtained as 129.328 mm Hg.

What is an equation?

A mathematical definition of an equation is a claim that two expressions are equal when they are joined by the equals sign ("=").

The equation is given as Ý = 140 + (-0.0667)X.

An amount of medication of 160 mg is found to result in a blood pressure of 127.74 mm Hg.

Here the value of X is X = 160.

The predicted blood pressure will be -

Ý = 140 + (-0.0667)160

Ý = 140 - 10.672

Ý = 129.328

The predicted blood pressure value is 129.328 mm Hg.

Here the predicted blood pressure value 129.328 mm Hg is greater than the actual blood pressure value 127.74 mm Hg.

Therefore, the observed value will be below the regression line.

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Answer:

$16.70

Step-by-step explanation:

9.5 miles / .25 = 38

The first mile is 1.25 so we do this

37 * .35 = 12.95

12.95 + 1.25 = 14.2

14.2 + 1.25 + 1.25(two additional passengers) = 16.70

Assuming that the population proportion of blue eyes is accurately reflected in each sample, about 380 of the 400 confidence intervals should cover the population proportion.

The confidence interval for the proportion of blue eyes in the population is calculated as follows:

Proportion of blue eyes in the population = sample mean +/- (1.96* Standard Error)

Where Standard Error = sqrt[(proportion of blue eyes in the population)*(1-proportion of blue eyes in the population)/sample size]

At a 95% confidence level, the confidence interval should cover the population proportion 95% of the time. Therefore, 95% of the 400 confidence intervals should cover the population proportion, which is approximately 380 intervals.

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Answer:

4/10

Step-by-step explanation:

Answer:

x>4

Step-by-step explanation:

It seems there is only one possible solution to this very problem.

Answer:

secθ = 17/15

Explanation:

From the information given,

Cosθ = 15/17

The right triangle representing this angle is shown below

Considering right triangle ABC in the figure,

hypotenuse = AC = 17

Adjacent side = AB = 15

Opposite side = BC

We would find BC by applying the pythagorean theorem which is expressed as

hypotenuse^2 = opposite side^2 + adjacent side^2

Thus,

17^2 = BC^2 + 15^2

289 = BC^2 + 225

BC^2 = 289 - 225 = 64

BC = √64

BC = 8

BC is in the negative y axis, Thus,

opposite side = BC = - 8

Recall, θ is in the 4th quadrant

Sinθ = opposite side/hypotenuse

Sin is negative in the 4th quadrant

Thus,

Sinθ = - 8/17

cscθ = 1/Sinθ = - 17/8

tanθ = opposite side/adjacent side

tanθ =

secθ = 1/cosθ = 1/(15/17) = 1 x 17/15

secθ = 17/15

Cosθ = adjacent side/hypotenuse

The line is drawn at point A and Point C is a line of symmetry because lines of symmetry make exactly two halves with similar shapes and sizes.

It is defined as the line which will make exactly two halves with similar shape and size in geometry. For a two-dimensional shape, there is a line of symmetry, and for three-dimensional shapes, there is a plane of symmetry. In other words, if we make a mirror image of the shape around the line of symmetry, we will get exactly the same half portion.

We have given a figure in the picture.

The figure is a quadrilateral(a kite)

As we know, lines of symmetry make exactly two halves with similar shapes and sizes.

IF we draw a line from Point A to Point C we will get two similar and figures in size and shape.

Thus, the line is drawn point A and Point C is a line of symmetry because lines of symmetry make exactly two halves with similar shapes and sizes.

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Answer:

point C

Here is a step-by-step explanation of the statement:

1. Draw a point B and a point C on a piece of paper or a computer screen.

2. Draw a straight line that goes through both point B and point C.

3. Fold the paper along the line you just drew, so that the line is the fold line.

4. Notice that if you were to fold the paper exactly in half along the line, point B would match up with its reflection on the other side of the line, and point C would match up with its reflection on the other side of the line.

5. This means that the line you drew is a line of symmetry, because it divides the paper into two identical halves that can be folded together.

6. Therefore, the statement "A line drawn through point B and point C is a line of symmetry" is true.

The area of a carpet that is 26 feet wide and 39 feet long is 1014 ft².

Given that, a carpet is 26 feet wide and 39 feet long, we need to find its area,

Considering the carpet as a rectangle, so, the area of a rectangle =

= length x width

Therefore, the area of the carpet = 26 x 39 = 1014 ft²

Hence, the area of a carpet that is 26 feet wide and 39 feet long is 1014 ft².

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Answer:

z = -18

Step-by-step explanation:

I hope this helps!

My first step is to draw a picture

We know the length is 4 times the width plus 2

We are told the perimeter is 544

P = 2L + 2 W

Substitute in for L

544 = 2 ( 4W + 2) + 2W

Distribute

544 = 8W + 4 + 2W

Combine like terms

544 = 10W + 4

Subtract 4 from each side

544-4 = 10W +4-4

540 = 10W

Divide each side by 10

540/10 = 10W/10

54 = W

The width is 54 yards

Now find the length

L = 4W +2 = 4(54) +2 = 218 yards

Answer:

500 ➗ 11 × 7

500 ➗ 11=45.454545454545(45.5)

45.5×6=273

The statement "Because in a randomized controlled trial (RCT), the assignment is random, therefore there is no coverage bias---by definition" g is false because, it is important to consider both randomization and other factors when assessing the potential for bias in an RCT.

Random assignment in an RCT can help to reduce selection bias, but it does not guarantee the absence of coverage bias.

Coverage bias can occur if the participants who are enrolled in the trial do not represent the population to which the results will be generalized.

For example, if the trial only includes participants who are healthier or more compliant than the typical patient, the results may not be applicable to the broader population.

Therefore, it is important to consider both randomization and other factors when assessing the potential for bias in an RCT.

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The correct phrase commonly used to word conditional probabilities is "given that." This phrase explicitly indicates the condition or event on which the probability calculation is based and emphasizes the dependence between events in the probability calculation.

Let's discuss each option in detail to understand why the correct phrase is "given that" when wording conditional probabilities.

"Dependent": The term "dependent" refers to the relationship between events, indicating that the occurrence of one event affects the probability of another event. While dependence is a characteristic of conditional probabilities, it is not the specific wording used to express the conditionality.

"Given that": This phrase explicitly states that the probability is being calculated based on a specific condition or event being true. It is commonly used to introduce the condition in conditional probabilities. For example, "What is the probability of event A given that event B has already occurred?" The phrase "given that" emphasizes that the probability of event A is being evaluated with the assumption that event B has already happened.

"Either/or": The phrase "either/or" generally refers to situations where only one of the two events can occur, but it does not convey the conditional nature of probabilities. It is often used to express mutually exclusive events, where the occurrence of one event excludes the possibility of the other. However, it does not provide the specific condition on which the probability calculation is based.

"Mutually exclusive": "Mutually exclusive" refers to events that cannot occur simultaneously. While mutually exclusive events are important in probability theory, they do not capture the conditionality aspect of conditional probabilities. The term implies that if one event happens, the other cannot occur, but it does not explicitly indicate the specific condition on which the probability calculation is based.

In summary, the correct phrase commonly used to word conditional probabilities is "given that." It effectively introduces the condition or event on which the probability calculation is based and highlights the dependency between events in the probability calculation.

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Answer:

Step-by-step explanation:

135 degrees is an exterior angle. meaning the interior angle is 45. meaning x is 45 because of the isosceles triangle theorem that states if two sides are equal on a triangle then their angles opposite those are congruent. a triangle measures up to 180 in general. so 45 plus 45 is 90. 180 minus 90 is 90. so angle x is 45 and angle y is 90

a. the integral \(I\) becomes \(\[I = a\theta + \sin(\theta) + C\]\) where \(\(C\)\) is the constant of integration. b. the integral \(I\) becomes \(\[I = \frac{1}{2}a\theta^2 + \sin(\theta) + C\]\) where \(\(C\)\) is the constant of integration.

To evaluate the integral \(I = \int (a + \cos(\theta)) \, d\theta\), we can apply the integral rules and properties. Let's consider the two given cases:

(a) If \(a > 1\):

In this case, the integral can be evaluated directly. The integral of \(a\) with respect to \(\theta\) is \(a\theta\), and the integral of \(\cos(\theta)\) is \(\sin(\theta)\). Therefore, the integral \(I\) becomes:

\[I = a\theta + \sin(\theta) + C\]

where \(C\) is the constant of integration.

(b) If \(a = a_0 + i e\), where \(a_0\) and \(e\) are real and positive:

In this case, the integral can also be evaluated using the same rules. The integral of a constant multiplied by a variable is \(\frac{1}{2}a\theta^2\), and the integral of \(\cos(\theta)\) is \(\sin(\theta)\). Therefore, the integral \(I\) becomes:

\[I = \frac{1}{2}a\theta^2 + \sin(\theta) + C\]

where \(C\) is the constant of integration.

It's important to note that the integral is evaluated based on the assumption that \(d\theta\) is the differential of \(\theta\) and not a different variable. Also, \(C\) represents the constant of integration, which can take any value.

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Answer:

$5.80

Step-by-step explanation:

To answer, we must first subtract the toal cost Joe paid by the amount he paid for his drink, because ha paid for his drink separately. so:

3.20 - 1.75 = 1.45

And because there were a total of 4 friends, we mulitply the answer by 4:

1.45 * 4 = 5.8

So, the bag of donuts costed $5.80

Hope this helps :)

Answer:

ok here ya go

Step-by-step explanation:

A way that I would teach someone something that I learned in math this year to someone else is simple. I would start by writing everything out so that they have a visual of what I am teaching them. I would also use a visual of a real world situation so that it relates to something they would understand. Teaching someone younger than you means they probably will not understand as easy as you understood it so, I would be very slow and make sure if they are confused to help them. I would also make sure not to be too bossy, understanding that they may not understand and that is ok.

Using a t-table with 18 degrees of freedom (10 + 10 - 2), the critical t-value for a one-tailed test with a 1% significance level is 2.898.

To determine if the mean time taken by the piranha to shred 100 sheets is higher than that for the crocodile, we can conduct a two-sample t-test with equal variances. The null hypothesis is that the mean shredding time for the piranha is the same as that for the crocodile, while the alternative hypothesis is that the mean shredding time for the piranha is higher than that for the crocodile.

Let μ1 and μ2 be the population mean shredding times for the piranha and crocodile, respectively. Then, our hypotheses are:

H0: μ1 = μ2

Ha: μ1 > μ2

We can use the t-statistic to test this hypothesis:

t = (x1 - x2) / (s√(2/n))

where x1 and x2 are the sample means, s is the pooled standard deviation, n is the sample size, and √2 is a correction factor for the equal variances assumption.

The pooled standard deviation is calculated as:

s = √(((n1-1)s1^2 + (n2-1)s2^2) / (n1 + n2 - 2))

Substituting the given values into these formulas, we get:

x1 = 203, x2 = 187

s1 = 6, s2 = 5

n1 = n2 = 10

s = √(((10-1)(6^2) + (10-1)(5^2)) / (10 + 10 - 2)) = 5.207

t = (203 - 187) / (5.207√(2/10)) = 9.68

Since our calculated t-value (9.68) is greater than the critical t-value (2.898), we reject the null hypothesis. This means that we have sufficient evidence to conclude that the mean time taken by the piranha to shred 100 sheets is higher than that for the crocodile. Therefore, we can recommend the crocodile shredder over the piranha shredder to the consumer organization.

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The values of b and a for the logarithmic function in this problem are given as follows:

The logarithmic function in the context of this problem has the format given as follows:

\(y = b\log_3{x + a}\)

The vertical asymptote is at x = -4, hence:

\(y = b\log_3{x - 4}\)

When x = 5, y = -1, hence the parameter b is obtained as follows:

\(-1 = b\log_3{5 - 4}\)

0.477b = -1

b = -1/0.477

b = -2.1.

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The answer is A. Winter.

As the pattern is : F, W, Sp, Su, F... (letters used for convenience), then the next word in the pattern will be Winter, because that was shown in the previous sequence.

An equivalent expression is an expression that is equal in value to a given expression. For example, consider the following expression: 4x + 2y

An equivalent expression is an expression that represents the same value as a given expression, regardless of the specific values of any variables that appear in the expression. Equivalent expressions can be obtained by applying the rules of algebra, such as the associative, commutative, and distributive properties.

This expression is equivalent to the following expressions:

2(2x + y)

2y + 4x

(4 + 2)x + 2y

All of these expressions are equivalent because they all represent the same value, regardless of the specific values of x and y. They can all be simplified to the same expression by applying the rules of the algebra.

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Answer:

Statement 2: m<AXD = 180°

Reason 2: Definition of Straight Angle.

Statement 3: m<AXB + m<BXD = m<AXD

Reason 3: Angle Addition Postulate.

Statement 4: m<AXB + m<BXD = 180°

Reason 4: Transitive property of equality.

Reason: 5: Definition of Supplementary.

Explanation:

I will double check