A boat travels for 4 hours at a constant speed of 35. 25 km/h. How far does the boat travel? 105 km 120 km 141 km 352 km.

Answer:

22 years.

Step-by-step explanation:

(continued), How long will it take the 5000 Swiss Francs to accrue to 10000 = 2 x 5000 Swiss Francs.

Define T as

T = the time to double the investment.

Then, we have that

10000 = 5000(1 + 3.25%)^T

2 = (1 + 0.0325)^T

2 = (1.0325)^T

ln(2) = ln [ (1.0325)^T ]

ln(2) = T ln (1.0325)

T = ln(2) / ln(1.0325)

T = 21.6723317643

T = 22 years, rounded to the nearest year.

Answer:

It is a 40% increase

Step-by-step explanation:

So first of all the formula is

New-old/old

Or rate of change/ original

SO th new is 350

THe old is 210

350-210=140

140/350 which is old is 2/5

2/5 is 40 percent

So 40 percent increase

Answer: 66.66% rise

Step-by-step explanation:

350-210=140

140/210 =2/3

66.6% rise

Answer

Option C is correct

8x²y³ - 7xy⁴ - 5y

Explanation

The equation to be solved or reduced is

(56x⁴y⁵ - 49x³y⁶ - 35x²y³)/7x²y²

More properly written, the equation is

To solve this, we will break the division down and have each term carry the denominator and use the laws of indices to reduce the powers

Hope this Helps!!!

The correct answer for the first question is B.

Only statement 2 is accurate. Statement 1 is incorrect because an entire set of data is typically referred to as a population, not a distribution. A distribution refers to the pattern or spread of data within a population or sample.

For the second question, Ibrahim, as a planner in the Quality Assurance Department of Free Free plc, would belong to the operating core building block. Mintzberg's organizational structure theory defines the operating core as the individuals directly involved in producing the organization's products or services. Since Ibrahim is part of the Quality Assurance Department, which is responsible for ensuring the quality of the products, he falls under the operating core category. The support staff typically includes administrative or auxiliary personnel, the middle line refers to managers responsible for coordinating and overseeing different departments, and the technostructure consists of individuals who specialize in analytical and support functions related to the organization's operations.

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Answer:

Primero, dibuje el escenario. El camino tomado por Shane forma un triángulo rectángulo. La distancia desde el punto de partida forma la hipotenusa.

Answer:

5.99 round up to 6

15lbs ÷6 = 2.50 per pound

Answer:

2.50 dollars per every 1 lb

Step-by-step explanation:

I just divided 5.99 by 15 to get the amount per pound. I then rounded that number to the hundredth as it was necessary in this problem!

Answer:

P(red) when the green marble is not return to the bag is greater

Step-by-step explanation:

P( red ) = ?

Case the green marble is returned to the bag.

Bag: 4 red + 2 green = 6 marbles

P(red) = 4/ 6

Case the green marble is not return to the bag.

Out: 1 green marble

Bag: 4 red + 1 green = 5 marbles

P(red) = 4/ 5

4/5  >  4/6

P(red) when the green marble is not return to the bag > P(red) when the green marble is returned to the bag

Answer:

Step-by-step explanation:

12/18= 2/3, that’s the ratio of how many questions he gets right compared to total questions

So if there are 30 questions total, he will get 20 right (30 x 2/3)

If you’re taking into consideration that he already answered 18 questions, he will get 8 more correct

Answer:

The rules of dividing integers are similar to the rules of multiplication

The only difference in division is that the quotient may not necessary be an integer. Hence, when dividing two integers with like signs, we divide the numbers without sign and place a positive sign to the result.

Answer:

I do not agree

Step-by-step explanation:

because in multiply negatives, the 2 negatives turn into a positive or multiplying positive and negative (and vice versa) becomes a negative still so the rules of multiplying and dividing are not alike integers. (For dividing it is the same)

The correct option is B. revised probability

Bayes' Theorem:

Bayes' Theorem, named after 18th-century British mathematician Thomas Bayes, is a mathematical formula for determining conditional probability. Conditional probability is the likelihood of an outcome occurring, based on a previous outcome having occurred in similar circumstances. Bayes' theorem provides a way to revise existing predictions or theories (update probabilities) given new or additional evidence.

In finance, Bayes' Theorem can be used to rate the risk of lending money to potential borrowers. The theorem is also called Bayes' Rule or Bayes' Law and is the foundation of the field of Bayesian statistics.

KEY TAKEAWAYS

The correct option is B. revised probability

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The distance between the medic and the shelter is 626.3 feet.

A helicopter was hovering over a shelter and was 900 ft above the ground. A medic was on the ground and was looking up at an angle of 55 degrees to the helicopter.

The medic’s eyes were 5.5 feet off the ground when looking at this right angle of elevation.

This situation forms a right angle triangle. Therefore, the distance of the medic to the shelter can be found as follows:

Hence,

tan 55 = opposite / adjacent

tan 55 = 900 - 5.5 / a

cross multiply

a tan 55° = 894.5

divide both sides by tan 55°

a =  894.5 / 1.42814800674

a = 626.335645885

a = 626.3 feet

Hence,

distance between medic and shelter = 626.3 feet

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Answer:

Cal= 10 x min

I am pretty sure your proportionality is 10.

The applicant who should be offered the job based on the aptitude test scores is Reyna. Reyna scored 87 on her version of the test, which has a mean of 73 and a standard deviation of 10.

Demetria scored 301.8 on her version of the test, which has a mean of 288 and a standard deviation of 23. Pierce scored 8.56 on his version of the test, which has a mean of 7.3 and a standard deviation of 0.6. The scores of Reyna, Demetria, and Pierce can be compared by standardizing them and calculating the z-scores. Standardizing involves subtracting the mean from the score and dividing by the standard deviation, resulting in z-scores. This can be used to compare the performance of each applicant relative to their own version of the test. Reyna's z-score is 1.37, Demetria's z-score is 0.86, and Pierce's z-score is 14.27. This shows that Reyna performed better than Demetria, and significantly better than Pierce. Reyna should therefore be offered the job based on her performance on the aptitude test.

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Answer:

The answer should be:

y = (6/7)x + 1

Answer:x

+

4

Explanation:

Product is the answer to a multiplication.

The multiplicative inverse is the same as the reciprocal.

(

5

x

+

20

)

×

1

5

=

5

x

+

20

5

=

x

+

4

Step-by-step explanation:

Answer:

x+4

Step-by-step explanation:

This is because the multiplicative inverse of 5 is the reciprocal, or 1/5. This is then multiplied (distribution) to (5x+20), simplifying to x+4.

Answer:

-------------------

Given three interior angle measures of a triangle:

Use the triangle sum theorem to find the missing angle:

So the missing angle is 67°.

Answer:

9:15 simplified is 3:5

Step-by-step explanation:

Answer:

9:15

Step-by-step explanation:

hope this is what you are looking for

Using the formula of margin of error for the confidence interval, the minimum sample size is 120

We can use the formula for the margin of error for a confidence interval:

margin of error = z* (standard deviation/√n)

where z* is the z-score for the desired confidence level.

For a 95% confidence interval, z* = 1.96. We want the margin of error to be 5, and we are given that the standard deviation of the population is 28. So we can solve for n:

5 = 1.96 * (28 / √n)

√n = 1.96 * 28 / 5

n = (1.96 * 28 / 5)²

n = 120.47

n = 120

The minimum sample size that will give a margin of error of 5 minutes with 95% confidence is 120.

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Answer:

10

Step-by-step explanation:

(21-1)/2

The Laplace transform of the function f(t) = -9t^3 is F(s) = -9/(s^4), and it is defined for s > 0.

To determine the Laplace transform of f(t) = -9t^3, we substitute the function into the integral definition of the Laplace transform:

F(s) = ∫₀^∞ e^(-st)(-9t^3)dt.

Next, we simplify the integral by pulling the constant term (-9) outside the integral and applying the power rule for integration. The integral becomes:

F(s) = -9 ∫₀^∞ t^3e^(-st)dt.

Now, we can integrate term by term using integration by parts. Let's differentiate t^3 and integrate e^(-st):

F(s) = -9 [(1/s) t^3e^(-st) - (3/s) ∫₀^∞ t^2e^(-st)dt].

The integral on the right-hand side can be further simplified using integration by parts:

F(s) = -9 [(1/s) t^3e^(-st) - (3/s) [(1/s) t^2e^(-st) - (2/s) ∫₀^∞ t e^(-st)dt]].

We repeat the integration by parts for the new integral on the right-hand side:

F(s) = -9 [(1/s) t^3e^(-st) - (3/s) [(1/s) t^2e^(-st) - (2/s) [(1/s) t e^(-st) - (1/s) ∫₀^∞ e^(-st)dt]]].

The last integral simplifies to (1/s^2), giving us:

F(s) = -9 [(1/s) t^3e^(-st) - (3/s) [(1/s) t^2e^(-st) - (2/s) [(1/s) t e^(-st) - (1/s^2) e^(-st)]]].

Evaluating the limits of integration and simplifying further, we arrive at the final expression for F(s):

F(s) = -9 [(1/s) t^3e^(-st) - (3/s) [(1/s) t^2e^(-st) - (2/s) [(1/s) t e^(-st) - (1/s^2) e^(-st)]]] from t=0 to t=∞.

Finally, we can simplify the expression and write it in a more concise form:

F(s) = -9/(s^4).

The Laplace transform F(s) = -9/(s^4) is defined for s > 0 since the Laplace transform integral converges for positive values of s.

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The volume of the solid below the cone z = x²y² and above the ring 1 ≤ x² + y² ≤ 4 in polar coordinates is (64π/15).

To find the volume of the solid, we integrate the function representing the cone over the region defined by the ring in polar coordinates.

In polar coordinates, the cone equation z = x²y² can be expressed as z = r²cos²(θ)sin²(θ), where r represents the radial distance and θ represents the angle.

The region defined by the ring can be expressed as 1 ≤ r² ≤ 4.

To find the volume, we integrate the function z = r²cos²(θ)sin²(θ) over the region of the ring in polar coordinates.

V = ∫∫∫ r²cos²(θ)sin²(θ) r dr dθ

= ∫[0,2π] ∫[1,2] r³cos²(θ)sin²(θ) dr dθ

= ∫[0,2π] ∫[1,2] r³(cos²(θ))(sin²(θ)) dr dθ

= ∫[0,2π] ∫[1,2] r³cos²(θ)sin²(θ) dr dθ

To evaluate this integral, we can use the property cos²(θ)sin²(θ) = (1/4)sin²(2θ), so the integral becomes:

V = (1/4) ∫[0,2π] ∫[1,2] r³sin²(2θ) dr dθ

Now, we integrate with respect to r:

V = (1/4) ∫[0,2π] [(1/4)r⁴sin²(2θ)] [1,2] dθ

= (1/4) ∫[0,2π] [(1/4)(2⁴ - 1⁴)sin²(2θ)] dθ

= (1/4) ∫[0,2π] [(15/4)sin²(2θ)] dθ

= (15/16) ∫[0,2π] [1 - cos(4θ)]/2 dθ

= (15/32) [θ - (1/4)sin(4θ)] [0,2π]

= (15/32) [2π - (1/4)sin(8π) - 0 + (1/4)sin(0)]

= (15/32) (2π - 0)

= 15π/16

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SOLUTION:

Step 1:

In this question, we are given the following:

Step 2:

The details of the solution are as follows:

a) Equation:

b) Value of b ( base ): 3. 25

c) Growth or decay: Growth

d) y-intercept: ( 1, 0)

e) Key point : ( 1, 3. 25)

f) Horizontal Asymptote:

g) Domain:

h) Range:

Answer:

You Answer is C. 738

Step-by-step explanation:

L x W x H

A= 2 w  l   h  l  h  w  = 2  18 13.5 4  13.5 4 18  =  738

The statement "If x = -10, then x² = 100" is false. When we square -10, we get 100, so the correct statement would be "If x = -10, then x² = 100."

The statement that is NOT true is:

If x = -10, then x² = 100.

The other three statements are all true:

If x² = 100, then x = 10.This is true because the square root of 100 is ±10, and when we take the square root, we consider the positive square root, which is 10.

If x = 10, then x² = 100. This is also true because when we square 10, we get 100.The statement x² = 100 if and only if x = 10 or x = -10 is true.

This statement is based on the fact that the square root of 100 is ±10, so when we square either 10 or -10, we get 100.

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The 90 %confidence interval for the mean waste recycled per person per day for the population of Texas is (0.9, 1.5)

We will solve the problem in the following way,

Let us first assume that the population of Texas is approximately normal.

We will then find the critical value that will be used in constructing the confidence interval.

We have been given the following values:

The sample mean waste recycled per person per day= x'= 1.2 pounds

The sample Standard Deviation= s= 0.99 pounds

The sample size of residents of the state of Texas= n= 24 residents

The significance level= α= 0.1

The critical value that we get is t' = 1.714

Now we will calculate the Standard Error.

The formula for Standard error is

Error= \(\frac{s}{\sqrt{n} }\)

Substituting the values we know, we get

Error = \(\frac{0.99}{\sqrt{24} }\)

Error = 0.2021

Now we will calculate the margin of error

The formula for the Margin of error is

Margin= \(t' *\)\(\frac{s}{\sqrt{n} }\)

Substituting the known values, we get

margin= 1.714*0.2021

margin= 0.3463

Now we will calculate the lower limit and upper limit

Lower limit= x' - margin of error

= 1.2 - 0.3463

= 0.9

Upper limit = x' + margin of error

= 1.2 + 0.3463

=1.5

The 90% confidence interval is (0.9, 1.5) or 0.9 ≤ μ ≤ 1.5

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-21 is the 17th term.

It is a sequence where there is the same pattern of difference between the consecutive terms in the sequence.

We have,

a = 27 and d = -3 _____(1)

The nth term.

Term = a + (n - 1)d _____(2)

Now,

Term = -21

Substituting (1) in (2).

Term = a + (n - 1)d

-21 = 27 + (n - 1) (-3)

-21 = 27 - 3n + 3

3n = 27 + 21 + 3

3n = 51

n = 17

Thus,

-21 is the 17th term.

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Step-by-step explanation:

10)-2

11)-11

12)-9

13)75/-25=-3

14)-30/-15=2

15)-20/5-5

=-4-5

=-9

16)90/-45=-2

17)-45/-15=2

18)-15 times 5/25

=-75/25

=-3

19)-15-(-45)/10

=-15+45/10

=30/10

=3

20)5-5/-1

=0/-1

=0

21)-(-15)/5

=15/5

=3

22)-45-15/-15

=-60/15

=-4

23)-15+(-45)/-5

=-15-45/-5

=-60/-5

=12

Have a nice day! :)

-Vana

Answer:

B. 3a

Step-by-step explanation: