A cruise ship travels 176 miles in 8 hours.

Speed = StartFraction distance Over time EndFraction

What is the ship’s speed?
2 miles per hour
22 miles per hour
168 miles per hour
1,408 miles per hour

Answer:

5 branches

Step-by-step explanation:

Answer:

D........................

Answer:

65,760

Step-by-step explanation:

move decimal over two places to make a percent a decimal so .37

then multiply that times the 48000 to get 17,760 and then add that to the original 48000 to get 65,760

The correct option is a) defensive and indignant.Explanation:In the given paragraph, the author mentions that they are at times pulled to court by others who have learned about them, and adds that "instances are by no means uncommon."

This assertion clearly conveys a tone that is both defensive and indignant.The author appears to be attempting to justify their behavior by claiming that it is a common occurrence, and they are thus being unjustly singled out for criticism. They are defending themselves against perceived unfairness or hypocrisy.Choosing option a) is the best course of action.Explained:In the provided paragraph, the author indicates that they are occasionally persuaded to appear in court by people who have heard of them and adds that "instances are by no means rare.

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Answer:

y = -2x + 2

Step-by-step explanation:

y-intercept is 2 (where the line crosses the y axis)

slope is -2 (fall over run)

written in slope - intercept form, you get y = -2x + 2

Answer:

-24

Step-by-step explanation:

Step 1: Define

7h - 4h + 3

h = -9

Step 2: Simplify

3h + 3

Step 3: Substitute and Evaluate

3(-9) + 3

-27 + 3

-24

Answer:

-24

Step-by-step explanation:

7h - 4h + 3

Combine like terms

3h+3

Let h=-9

3(-9) +3

-27+3

-24

The maximum burn rate ∣ΔM/Δt∣ that the engine could reach before the ship's acceleration exceeded 5 g and its human occupants began to lose consciousness is approximately 51.0 kg/s.

Acceleration is directly proportional to the force acting on an object. In simple terms, if the force on an object is greater, then it will undergo more acceleration. However, there are limitations to the acceleration that can be tolerated by the human body. At about 5 g (49.0 m/s2) for more than a few seconds, an average person starts to lose consciousness. Let's use this information to answer the given question.

Let the maximum burn rate |ΔM/Δt| that the engine could reach before the ship's acceleration exceeded 5 g be x.

Let the mass of the spaceship be m and the exhaust speed of the engine be v.

Using the formula for the thrust of a rocket,

T = (mv)e

After substituting the given values into the formula for thrust, we get:

T = (3.00 × 104)(2.50 × 103) = 7.50 × 107 N

Therefore, the acceleration produced by the engine, a is given by the formula below:

F = ma

Therefore,

a = F/m= 7.50 × 107/3.00 × 104= 2.50 × 103 m/s²

The maximum burn rate that the engine could reach before the ship's acceleration exceeded 5 g is equal to the acceleration that would be produced by a maximum burn rate. Therefore,

x = a/5g= 2.50 × 103/(5 × 9.8)≈ 51.0 kg/s

Therefore, the maximum burn rate ∣ΔM/Δt∣ that the engine could reach before the ship's acceleration exceeded 5 g and its human occupants began to lose consciousness is approximately 51.0 kg/s.

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The exact components of the vector IQI are (2, 2 * sqrt(3)).

The given problem involves finding the exact components of a vector IQI, given that the angle Q is 60° and the magnitude of the vector Q is 4.

To find the components of the vector IQI, we need to consider the trigonometric relationships between the angle and the components.

Let's denote the components as (x, y). Since the magnitude of the vector Q is 4, we have:

Q = sqrt(x² + y²) = 4.

Since the angle Q is 60°, we can use trigonometric functions to relate the components x and y to the angle. In this case, the angle Q is the angle between the vector and the positive x-axis.

Using the trigonometric relationship, we have:

cos(Q) = x / Q,

sin(Q) = y / Q.

Since Q = 4, we can substitute this value into the equations above:

cos(60°) = x / 4,

sin(60°) = y / 4.

Evaluating the trigonometric functions, we find:

x = 4 * cos(60°) = 4 * 1/2 = 2,

y = 4 * sin(60°) = 4 * sqrt(3)/2 = 2 * sqrt(3).

Therefore, the exact components of the vector IQI are (2, 2 * sqrt(3)).

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The missing measures of the angles are as follows:

The figure that completes the question is added as an attachment

From the figure of the rectangle, we have:

m∠BDC = 16°

A rectangle has four (4) interior angles that are 90 degrees each.

This means that

m∠ADE = 90 - 16

m∠ADE = 74°

Also, we have:

m∠ABD = m∠BDC = 16° by the alternate interior angles

By the complementary angle, we have:

m∠CBE = 90 - 16 = 74°

By the alternate interior angles, we have

m∠ADE = m∠CBE = 74°

Solving further, we have the following equations:

m∠AEB = 180 - 2(16)

m∠AEB = 148°

m∠DEA = 180 - m∠AEB

m∠DEA = 180 - 148

m∠DEA = 32°

Hence, the measure of the angle DEA is 32 degrees

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A principal $7000, rate 5%=0.05, and time 2 years is given.

It is stated that it is compounded semiannually, that is, twice in a year.

The question requires that you calculate the amount in the account after 2 years and the interest earned.

The formula for the amount (compound interest) is given as:

Where,

• A is the final amount.

• P is the principal

• r is the rate

• n is the number of times interest is compounded annually.

• t is the time in years.

In this case P=7000, r=0.05, n=2, t=2. Substitute these values into the formula:

The equation that relates the amount, A, principal, P, and interest earned, I is given as:

Substitute A=7,726.69, P=7000 into the formula:

It follows that:

The amount of money in the account after 2 years is about $7,726.69.

The amount of interest earned is about $726.69.

Answer:

$10,667.66

Step-by-step explanation:

The formula for calculating the compound interest is expressed as:

A = P(1+r/n)^nt

P is the principal = $9000

r is the rate = 3%

time t = 6years

n = 1/4

Substitute

A = 9000(1+0.03/(1/4))^6/4

A = 9000(1+0.03(4))^1.5

A = 9000(1+0.12)^1.5

A = 9000(1.12)^1.5

A = 9000(1.1853)

A = 10,667.67

Hence the amount after 6 years is $10,667.66

The statement B is correct, i.e., The result of the survey is statistically significant.

The probability that the difference in conversion rates between a given variation and the baseline is not the result of random chance is known as statistical significance.

Given:

To find: WHich of the given statements is correct?

Finding:

According to the given data,

Hence, the statement B is correct, i.e., The result of the survey is statistically significant.

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(COMPLETE QUESTION:

A school authority claims that the average percentage marks of students is 68. A researcher has taken a well-designed survey and his sample mean is 64.5 and sample standard deviation is 2. The sample size is 300.Which statement is correct?

a.)

The difference exists due to chance since the test statistic is small.

b.)

The result of the survey is statistically significant.

c.)

The sample size should be much more.

d.)

The result of the survey is not statistically significant.)

Answer:

The answer is B or -3.132

Step-by-step explanation:

You are multiplying 2 negatives and a positive, so it guarantees it will be negative! Hope this helps!

Answer:

Step-by-step explanation:

As always, set the function equal to zero and solve for x:

x - 1 = 0 results in x = 1.  Thus, (1, 0) is one of the x-intercepts.

x + 6 = 0 results in x = -6.  (-6, 0) is the other x-intercept.

Answer:

9 sleeves for 22.99

Step-by-step explanation

The first pack has a unit rate of $11.49/ 4 balls

=$2.8725

The second pack has a unit rate of $16.79/6balls

=$2.798 per ball

the third pack has a unit rate of $22.99/9balls

=2.554

So, I would definitely go for the third pack since it has the least cost.

Answer:

10 and 6 I believe

Answer:

21 is your answer

Step-by-step explanation:

The combination formula is used to calculate the number of ways to choose r items from a set of n items without regard to order. The formula is:

C(n,r) = n! / (r! * (n-r)!)

where n is the total number of items and r is the number of items to be chosen.

Using this formula, we can solve the problem when n = 7 and r = 5 as follows:

C(7,5) = 7! / (5! * (7-5)!)

= (7 x 6 x 5 x 4 x 3 x 2 x 1) / [(5 x 4 x 3 x 2 x 1) x (2 x 1)]

= (7 x 6) / (2 x 1)

= 21

Therefore, there are 21 ways to choose 5 items from a set of 7 items without regard to order.

Answer:

x = 0 , x = 5

Step-by-step explanation:

x³ - 10x² + 25x = 0 ← factor out x from each term

x(x² - 10x + 25) = 0 ← (x² - 10x + 25) is a perfect square

x(x - 5)² = 0

Equate each factor to zero and solve for x

x = 0

(x - 5)² = 0

x - 5 = 0

x = 5 ( multiplicity of 2 )

The wall cloud is approximately 3 miles away.

An angle that is formed when an object is viewed above the horizontal is said to be an angle of elevation.

From the details of the question, we can determine the distance of the wall cloud by;

let the distance of the wall cloud be represented by x, applying the trigonometric function;

Sin θ = opposite/ hypotenuse

Sin 11 = 3000/ x

x = 3000/ 0.1908

  = 15722.53

The wall cloud is 15722.53 feet away.

But 1 mile = 5,280 feet. so that;

x = 15722.53/ 5280

  = 2.9778

x = 3 miles

Therefore, the wall cloud is 3 miles away.

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Answer:

slope = y₂ - y₁ / x₂ - x₁

= 6 - [-1] / -8-10

= 6 + 1 / -8-10

= 7/ - 18

= - 7/18

Answer:

x=3

Step-by-step explanation:

2x/3−x/10=17/10

Multiply each side by 30 to get rid of the fractions

30( 2x/3−x/10)=(17/10)*30

Distribute

20x -3x = 51

Combine like terms

17x = 51

Divide by 17

17x/17 = 51/17

x=3

The equation of the circles is:

\((x-2)^2 + (y-8)^2 = 9\\(x-5)^2 + (y+13)^2 = 121\\(x+9)^2 + (y+7)^2 = 1156\\(x+8)^2 + y^2 = 25\\x^2 + (y+16)^2 = 15\\(x-12)^2 + (y+1)^2 = 209\\\)

We have,

The equation of a circle with center (a, b) and radius r is:

\((x - a)^2 + (y - b)^2 = r^2\)

Now,

Center = (2, 8) and radius = 3

Substituting the given values in the equation of a circle, we get:

(x - 2)² + (y - 8)² = 3²

Simplifying, we get:

(x - 2)² + (y - 8)² = 9

Centre = (5, -13) and radius = 11

Substituting the given values in the equation of a circle, we get:

(x - 5)² + (y + 13)² = 11²

Simplifying, we get:

(x - 5)² + (y + 13)² = 121

Centre = (-9, -7) and radius = 34

Substituting the given values in the equation of a circle, we get:

(x + 9)² + (y + 7)² = 34²

Simplifying, we get:

(x + 9)² + (y + 7)² = 1156

Centre = (-8, 0) and radius = 5

Substituting the given values in the equation of a circle, we get:

(x + 8)² + y² = 5²

Simplifying, we get:

(x + 8)² + y² = 25

Centre = (0, -16) and radius = √15

Substituting the given values in the equation of a circle, we get:

x² + (y + 16)² = (√15)²

Simplifying, we get:

x² + (y + 16)² = 15

Centre = (12, -1) and radius = √209

Substituting the given values in the equation of a circle, we get:

(x - 12)² + (y + 1)² = (√209)²

Simplifying, we get:

(x - 12)² + (y + 1)² = 209

Thus,

The equation of the circles is:

\((x-2)^2 + (y-8)^2 = 9\\(x-5)^2 + (y+13)^2 = 121\\(x+9)^2 + (y+7)^2 = 1156\\(x+8)^2 + y^2 = 25\\x^2 + (y+16)^2 = 15\\(x-12)^2 + (y+1)^2 = 209\\\)

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The options that can be used as indices for the array are option A (i) and option E ((int)(Math.random() * 100)).

To determine which expressions can be used as an index for the array double[] t = new double[100], let's evaluate each option :

A. i: Since i is an integer variable with a value of 5, it can be used as an index because it falls within the valid index range of the array (0 to 99).

B. I + 6.5: This expression adds 6.5 to the variable i. Since array indices must be integers, this expression would result in a double value and cannot be used as an index.

C. 1 + 10: This expression evaluates to 11, which is an integer value and can be used as an index.

D. Math.random() * 100: The Math.random() function returns a double value between 0.0 (inclusive) and 1.0 (exclusive). Multiplying this value by 100 would still result in a double value, which cannot be used as an index.

E. (int)(Math.random() * 100): By multiplying Math.random() by 100 and casting the result to an integer, we obtain a random integer between 0 and 99, which falls within the valid index range and can be used as an index.

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Answer:

4x>74+9

Step-by-step explanation:

4x+2×45

2×45x

74x×2

4x>9

4x>74+9

Opposite angles are equal in parallelogram

<M:-

x=8. The steps are in the attachment.

Here we would be using the midpoint formula to find the co-ordinates of the line segment joining the two given points.

Given points,

★ We have :

★ Midpoint of two points:-

Now, refer to the attachment.

Additional Information :

★ Centroid of a triangle :-

★ Distance Formula :-

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Answer:29.2

Step-by-step explanation:The equation used to add a markup percent to a product is the cost plus the markup percentage multiplied by the cost.

Answer:

$29.20

Step-by-step explanation:

The original price of an item is 100%, so a 60% mark up means that the price will now be 160% of the original price.

160% = 160/100 = 1.6

⇒ 160% of $18.25 = 1.6 × 18.25 = $29.20