A motorboat can maintain a constant speed of 44 miles per hour relative to the water. The boat makes a trip upstream to a certain point in 54 minutes; the return trip takes 45 minutes. What is the speed of the current

Answer:

24.00%

Step-by-step explanation:

$/mo

4450       After-Tax Income  

801  Food  

267  Utilities  

1068 $/mo Food and Utilities Total

1068/4450 = 24.00%

24.00%    

Step-by-step explanation:

steps are in the picture.

Answer:

100

Step-by-step explanation:

A=2(wl+hl+hw)

Answer:

surface area of the prism is 100 yd square

Step-by-step explanation:

using formula,

2(lb+bh+lh)

L=Length

B=breadth

H=height

A scientific hypothesis is a proposed explanation or prediction based on limited evidence or prior knowledge, which is subject to further investigation and testing.

A guess is a speculative, unsupported statement without any logical basis, whereas a hypothesis is an educated assumption derived from existing knowledge, observations, or theories. Unlike a guess, a hypothesis is testable and can be supported or refuted by evidence gathered through scientific methods.

Scientists need a hypothesis to provide a framework for their research and guide their investigations. It helps them define the specific question they want to answer and provides a starting point for designing experiments or making observations. By formulating a hypothesis, scientists can systematically evaluate and analyze data, ultimately leading to a deeper understanding of the phenomenon under investigation.

There are indeed scientific hypotheses that cannot be directly tested or proven due to practical or ethical constraints. For example, hypotheses related to historical events that occurred in the distant past may not have accessible evidence for direct testing. Additionally, some questions related to consciousness, subjective experiences, or philosophical concepts may lie beyond the scope of scientific inquiry, as they may not be objectively measurable or observable.

While science has its limitations, it is a powerful tool for investigating and understanding the natural world. However, there are questions that fall outside the realm of scientific inquiry and require other methods of investigation, such as philosophical or ethical considerations.

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The lengths of the sides of triangle PQR are |PQ| = 6, |QR| = 6, and |RP| = 6. The triangle is an isosceles triangle but not a right triangle.

To find the lengths of the sides of triangle PQR, we can use the distance formula in three-dimensional space.

The distance formula between two points (x₁, y₁, z₁) and (x₂, y₂, z₂) is given by √((x₂-x₁)² + (y₂-y₁)² + (z₂-z₁)²).

Using this formula, we can calculate the lengths of the sides:

|PQ| = √((6-2)² + (0-(-2))² + (4-0)²) = √(4² + 2² + 4²) = √36 = 6

|QR| = √((8-6)² + (-4-0)² + (0-4)²) = √(2² + (-4)² + (-4)²) = √36 = 6

|RP| = √((2-8)² + (-2-(-4))² + (0-0)²) = √((-6)² + 2² + 0²) = √40 = 6

Therefore, all three sides of triangle PQR have lengths of 6 units, making it an isosceles triangle. since the triangle does not satisfy the Pythagorean theorem, it is not a right triangle.

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3.5% is represented by the number 0.035. Divide the % by 100 to convert it to a decimal. The decimal point can be shifted two positions to the left to achieve this. 3.5% becomes 0.035 as a result.

3.5 percent as a decimal is 0.035. Converting from a percent to a decimal is a simple process. To convert, the percent must be divided by 100. Since the decimal point separates each place value in a number, the decimal point can be moved two places to the left to effectively divide the number by 100. For example, 3.5 percent can be written as 3.5. To divide by 100, the decimal point is moved two places to the left, making it 0.035. Therefore, 3.5 percent as a decimal is 0.035. It is important to remember that when converting a percent to a decimal, the decimal point must always be moved two places to the left.

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Answers are

A: 16.09 %

B: 0.65

C: Those who like Hamburgers but not burritos.

Step-by-step explanation:

                        Like Hamburgers ↓  Does Not Like Hamburgers↓    Total↓

Likes burritos →                 39                           38                                   77

Does not like burritos →    95                          33                                128

Total →                                134                           71                                 205

Part A: The percent of respondents who do not like hamburgers and burritos both

There are 33 such respondents.  

Hence, percentage  33/205 * 100 = 16.09%

Part B: Marginal relative frequency of all customers that like hamburgers

It will be the ratio of the sum of the customers that like hamburgers to the total number of respondents

Hence, ratio  134/205 = 0.65

Part C: The data point that has the strongest association of its two factors.

For this, we need to find the ratio of all the four data with the total.

Those who like Hamburgers and burritos: 39/134 = 0.29

Those who like Hamburgers but not burritos: 95/134 = 0.71

Those who like burritos but not Hamburgers: 38/71 = 0.53

Those who do not like burritos or Hamburgers: 33/71 = 0.47

So, the answer is those who like Hamburgers but not burritos.

Answer:

121.21 people per square mile

Step-by-step explanation:

area = 1/2(12 + 21)(14) = 231 mi²

28,000/231 = 121.21 people per square mile

Answer:

54!

Step-by-step explanation:

300-30

=270×.20

=54

Answer:

The answer is the second option

Step-by-step explanation:

All you have to do is replace x with the data given.

Example: f(x) = 3\(x^{2}\) - 6

x = 0 => f(x) = 3 x \(0^{2}\) - 6 = 3 x 0 - 6 = -6

x = 1 => f(x) = 3 x \(1^{2}\) - 6 = 3 x 1 - 6 = 3 - 6 = -3

x = 2 => f(x) = 3 x \(2^{2}\) - 6 = 3 x 4 - 6 = 12 - 6 =  6

The FICO is a type of federal payroll tax

Given data ,

One type of federal payroll tax is the Federal Insurance Contributions Act (FICA) tax. This tax is a combination of Social Security and Medicare taxes, which are used to fund these programs. The current Social Security tax rate is 12.4%, with 6.2% paid by the employee and 6.2% paid by the employer.

The Medicare tax rate is 2.9%, with 1.45% paid by the employee and 1.45% paid by the employer. However, there is an additional 0.9% Medicare tax that is paid by employees who earn over a certain amount.

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Answer:

3.92 x \(10^{12}\)

Step-by-step explanation:

The first factor needs to be a number greater than 0, but less than 10.  That would be 3.92.  Next count how many places you moved the decimal.  In standard notation the decimal should be 12 spaces to the right.  This is the exponent.

Helping in the name of Jesus.

Answer:

Step-by-step explanation:

length = 2cm

breadth = 5inc

area=?

we know that

area=length *breadth

=2*5

=10

hello

to solve this question, we should let the unknown number be represented by x

the first number (x) is equal to 11, we can find the other number.

from the calculations above, the numbers are 11 and 22

Answer:

3a

Step-by-step explanation:

What we have as the point O refers to the centroid of the triangle

The centroid splits the distance between the opposite vertex and the middle of the side length that faces it into two; with the longer side being twice the length of the shorter

So what we have here is that;

B1O is half the length of BO

So, if B1O is a cm, BO would be 2a

So we have the entire side length measure as;

a + 2a = 3a

A perimeter is a sum of lengths of sides of a lateral.

\(2x+7+3x+8=5x+15\).

The answer through which all the value of the given relation satisfied the relation is period decreases, frequency increases and reflected in y - axis.

What about frequency?

In mathematics, frequency is a term used in statistics to describe how often a particular value or set of values appears in a dataset. Specifically, frequency refers to the number of times a particular data point or value occurs in a dataset.

For example, consider a dataset of test scores for a class of students. The frequency of a particular score (e.g., 80%) would be the number of students who received that score. The frequencies can be used to create a frequency distribution, which is a table that shows the frequency of each value or group of values in a dataset.

According to the given information:

In the given condition as the value of B increases, the periodic function decreases and the frequency of the function increases where as, when the value of B is negative, the graph of the function reflected in y-axis.

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By applying the maximum modulus principle, we found that the maximum value of 2i(z²) + 3 on the set of complex numbers whose modulus is less than or equal to 1 is √13.

Let's start by expressing the given function in terms of z. We have:

f(z) = 2i(z²) + 3

Now, let's consider the modulus of f(z):

|f(z)| = |2i(z²) + 3|

According to the maximum modulus principle, the maximum value of |f(z)| occurs on the boundary of the given domain, which is the circle of radius 1 centered at the origin in the complex plane.

In order to find the maximum value, we need to evaluate |f(z)| on the boundary of the circle |z| = 1.

Let's substitute z = 1 into f(z):

f(1) = 2i(1²) + 3

= 2i + 3

Taking the modulus of f(1):

|f(1)| = |2i + 3|

To find the maximum value, we need to determine the magnitude of the complex number 2i + 3. The modulus (or magnitude) of a complex number a + bi, denoted as |a + bi|, is given by:

|a + bi| = √(a² + b²)

For the complex number 2i + 3, we have:

|2i + 3| = √(2² + 3²)

= √(4 + 9)

= √13

Therefore, the maximum value of |f(z)| occurs at |z| = 1 and is equal to √13.

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Answer:

domain: \((-\infty, \infty)\)

range: \((-\infty, \infty)\)

Step-by-step explanation:

You can put any real number into \(x\) and get any real number out oft the function \(f(x)\)

Answer:

Step-by-step explanation:

x / 6 = 25

x = 25 (6)

x = 150

Answer: x=150

Step-by-step explanation:

Every day mass of sunfish is multiplied by factor of (ln(67/50)/6).

In the given question we have a relation between mass of sunfish and time elapsed t. Relation is

M(t) = (67/50) ^(t/6+4) -----(1)

To find out the factor which multiple by mass of sunfish each day, we can take derivative of M(t) function.

Derivative of a function measures the change in fucyion value with respect to change in its argument. It gives rate of change of function with respect to change in given variable value. So, in this problem derivative of mass function M(t) gives the rate of change of M(t) with respect to time , t .. It is represented by dM(t)/ dt.

dM(t)/ dt =( 67/50)^(t/6+4) (1/6)ln(67/50)

We have the used derivative formula d(a^t)/dt = a^t (1) lna

dM(t)/dt = ln(67/50)/6 (67/50)^(t/6+4)

dM(t)/dt = (ln(67/50))/6 M(t)

We can see here that mass funtion is increased by factor ln(67/50)/6 each day.

#Complete question:

Ocean sunfish are well known for rapidly gaining a lot of weight on a diet based on jellyfish. The relationship between the elapsed time, t, in days, since an ocean sunfish is born, and it’s mass, M(t), in milligrams, is modeled by the following function:

M(t)=(1.34)^t/6+4

Complete the following sentence about the daily rate of change in the mass of the sunfish. Round your answer to two decimal places.Every day, the mass of the sunfish is multiplied by a factor of _______.

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Answer:

Step-by-step explanation:

a)

Peter now = x years old

John now = y years old

Five years ago

y-5 = 2(x-5)

y-5 = 2x-10

y = 2x-5

b)

x+y=28

y=28-x

Therefore

2x-5 = 28-x

3x = 33

x = 11

y = 28 - (11)

y = 17

Therefore

In three years time John will be:

17 + 3 = 20

c)

y-5 = 2x-10

Lefthand side:

(17)-5 = 12

Righthand side:

2(11)-10=22-10=12

Therefore 

Lefthand side =Righthand side

YAY!

Answer:

x = 1 / (1/3 - R)

Step-by-step explanation:

Let's call Robert R, and Juan J.

6R = 1 (think of 1 as 100% of the job done). call 6R = 1 equation '1'.

xJ = 1, J = 1/x (call this equation '2').

if Robert and Juan can do it together in 3 hours, then:

3(R + J) = 1

3R + 3J = 1

3J = 1 - 3R

J = 1/3 - R

1/x = 1/3 - R

x = 1 / (1/3 - R)

If the perimeter of the triangle is 140 cm and the ratio of the sides are 2:4:5, then the sides of the triangle are 25.46cm, 50.92 cm and 63.65 cm

The perimeter of the triangle = 140 cm

The ratio of the three sides of the triangle = 2 : 4 : 5

The sides of the triangle = 2x, 4x and 5x

Then the equation will be

2x + 4x + 5x = 140 cm

Add the like terms together

11x = 140

x = 140/11

x = 12.73

The length of the first side = 2x

= 2× 12.73

= 25.46 cm

The length of the second side = 4x

= 4 × 12.73

= 50.92 cm

The length of the third side = 5x

= 5 × 12.73

= 63.65 cm

Hence, the side of the triangle are 25.46cm, 50.92 cm and 63.65 cm

The complete question is:

Construct a triangle PQR, whose perimeter is 140 cm and whose sides are in the ratio 2 : 4 : 5

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Answer: B

Step-by-step explanation:

First you have to do what’s in parentheses so you do 7-3, which is 4. Then you do 4 - 2 = 2. Hope this helped!

The polynomial function of least degree with integral coefficients is equal to f(x) = x³ - 4x² + x + 6 with the given zeros 3, 2, -1.

As given in the question,

Given zeros of the polynomial function are :

3, 2, -1

⇒ ( x - 3 ) =0 or ( x - 2 ) = 0 or ( x + 1 ) = 0

Polynomial function of the given factors  ( x - 3 ) =0 or ( x - 2 ) = 0 or

( x + 1 ) = 0 is given by :

f (x ) = ( x - 3 )( x - 2 )( x + 1 )

⇒ f(x) = ( x² - 3x - 2x + 6 ) ( x + 1 )

⇒ f(x) = ( x² - 5x + 6 ) ( x + 1 )

⇒ f(x) = x³ + x² -5x² - 5x + 6x + 6

⇒f(x) = x³ - 4x² + x + 6

Therefore, the required polynomial function of least degree with integral coefficients using given zeros is equal to f(x) = x³ - 4x² + x + 6.

The complete question is:

Write a polynomial function of least degree with integral coefficients that has the given zeros 3, 2, -1?

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Answer:

we conclude that Kiera got the right 63 questions.

Step-by-step explanation:

Total questions = 90

The percentage of correct question = 70%

Using the formula

The number of correct questions = 70% of 90

                                                         = [70/100] × 90

                                                          = 0.7 × 90

                                                           = 63

Therefore, we conclude that Kiera got the right 63 questions.