I need help with this problem and if you can help me I would definitely appreciate it :)

Answer:

(a)

\(\sqrt{105} => Irrational\)

\(-4 => Integer\)

\(\frac{4}{3} => Rational\)

(b)

\(-4\)    \(\frac{4}{3}\)     \(\sqrt{105}\)

Step-by-step explanation:

Given

\(\sqrt{105}\)

\(-4\)

\(\frac{4}{3}\)

Solving (a): The category of number the belong to

\(\sqrt{105}\)

Solve the square root

\(\sqrt{105} = 10.246950766\)

The result is irrational;

So:

\(\sqrt{105} => Irrational\)

\(-4 => Integer\)

\(\frac{4}{3}\)

This has an integer numerator and denominator;

So:

\(\frac{4}{3} => Rational\)

Solving (b): Order from least to greatest

i. \(\sqrt{105} = 10.246950766\)

ii. \(-4\)

iii. \(\frac{4}{3} = 1.33333\)

List out the corresponding numbers:

10.246950766; -4 and 1.333333

Reorder: from least to greatest:

-4; -1.3333333 and 10.246950766

Hence; The correct order is:

\(-4\)    \(\frac{4}{3}\)     \(\sqrt{105}\)

The ratio of the capacities of the two similar cups found using the Volume of cylinder is: 2/3.

A cylinder's volume refers to the amount of interior room it has to hold a given quantity of material. In simplest language, the capacity of such a cylinder to hold an object is its volume. You can store any one of the three forms of matter—solid, liquid, or gas—within the confines of a cylinder.

A cylinder's volume refers to the amount of interior room it has to hold a given quantity of material. To put it another way, a cylinder's volume is how much it can hold.

As the two cups are similar, their radii will be same say 'r'.

Let the height of cup1 be h1 and cup 2 be h2.

Then,

h₁/h₂ = 2/3

h₂  = 1.5 h₁

ratio of their capacities:

Volume of cup1 / volume of cup 2

V1 / V2 = πr²h₁ / πr²h₂

Cancelling the same values:

V1 / V2 = h₁ / h₂

V1 / V2 = h₁ / 1.5 h₁

h₁ will get cancelled.

V1 /V2 = 2/3

Thus, the ratio of capacities of the two similar cups found using the Volume of cylinder is: 2/3.

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Answer:

the coner

Step-by-step explanation:

Answer:

the area of a triangle is A =BxH

2

The value of s for the given value is 24.05.

Given is an equation v² = u²+2gs, we need to find the value of s if v = 25, u = 12 and g = 10,

So,

25² = 12² + 2(10)s

625 = 144 + 20s

20s = 481

s = 24.05

Hence the value of s for the given value is 24.05.

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Answer:

3/4

Step-by-step explanation:

When finding common denominators the answer would be 3/4.

Answer:

2/3 is not greater than 3/4

Step-by-step explanation:

Given equation of the line is

Dividing both sides of the above equation by -18, we get

The line cuts the x axis at (-9,0) and the y axis at (0,-3).

Therefore, the x intercept is -9 and the y intercept is -3.

The graph of the line is shown below.

A new college graduate in business would have to earn a starting salary of at least $85,095 to have a salary higher than 99% of all starting salaries of new college graduates in health sciences.

To solve this problem, we need to use the concept of z-scores, which measures the number of standard deviations away from the mean that a data point is.

First, we need to find the z-score that corresponds to the 99th percentile for the distribution of starting salaries in health sciences. We can use a standard normal distribution table or calculator to find that the z-score is approximately 2.33.

Next, we can use the formula for converting a z-score to an actual value:

z = (x - μ) / σ

where x is the actual value we want to find, μ is the mean, and σ is the standard deviation.

We can rearrange the formula to solve for x:

x = z * σ + μ

For business graduates, we want to find the salary that corresponds to a z-score of 2.33, using the standard deviation of $15,000 and mean of $53,901.

Plugging in the values, we get:

x = 2.33 * $15,000 + $53,901

x = $85,095

In summary, we used z-scores and the formula for converting z-scores to actual values to calculate the starting salary that corresponds to the 99th percentile for business graduates.

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Complete question is:

According to the National Association of Colleges and Employers, the average starting salary for new college graduates in health sciences is $51.541. The average starting salary for new college graduates in business is $53,901 (National Association of Colleges and Employers website, January , ). Assume that starting salaries are normally distributed and that the standard deviation for starting salaries for new college graduates in health sciences is $11,000. Assume that the standard deviation for starting salaries for new college graduates in business is $15,000.

How much would a new college graduate in business have to earn in order to have a starting salary higher than 99% of all starting salaries of new college graduates in the health sciences (to the nearest whole number)?

According to the question Yes, The frequency distribution appears to follow a normal distribution. To assess normality, we typically examine the shape of the data using graphical methods.

To assess if a frequency distribution appears to have a normal distribution, let's consider an example of a temperature dataset.

Suppose we have collected temperature data for a city over a period of time and constructed a frequency distribution based on temperature ranges and their corresponding frequencies. The frequency distribution table shows the temperature ranges (x-axis) and the frequencies (y-axis), indicating how many times each temperature range occurred.

If the frequency distribution follows a normal distribution, we would expect to see a bell-shaped curve when we plot the data. The curve should have a symmetric shape, with the peak at the center of the distribution.

For example, let's say we have temperature ranges and frequencies as follows:

Temperature Range (°F): 50-55 55-60 60-65 65-70 70-75 75-80

Frequency: 8 20 35 45 32 12

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Answer: Hello

Step-by-step explanation:

Step-by-step explanation:

The position of the median of an even data set is 1/2(8+1)=4.5

That is between two values, 4 and 5.

(5x-10+3x+30)/2=82

(8x+20)/2=82

(8x+20)=41

8x=41-20

8x=21

x=21/8

Answer:

Step-by-step explanation:

Answer:

\(|7m- 56| = 56 - 7m\)

Step-by-step explanation:

Given

\(|7m- 56|\)

\(m < 8\)

Required

Rewrite the expression without absolute values

The first step is to check if the expression in |...| is positive or negative;

The question says m < 8,

This means the value of m could be 7, 6 ...

Let's assume m is 7

\(7m - 56 = 7 * 7 - 56 = 49 - 56 = -7\)

This means that the expression \(|7m- 56|\) will give a negative value if \(m < 8\)

So,

\(|7m- 56| = -(7m - 56)\)

Open bracket

\(|7m- 56| = -7m + 56\)

Rearrange

\(|7m- 56| = 56 - 7m\)

The expression can't be further simplified

First, let's identify some points of the original graph. Then, to find the compressed graph, we need to multiply the y-coordinates by 1/2.

So we have:

The graph that has these compressed points above is the graph from the fourth option

Answer:

x = 5

Step-by-step explanation:

4x = 20

x is called a 'variable' and we fine the value of this variable.

Now, Given that

=> 4x = 20

To get the value of x, we divide the equation on the left hand side and right hand side by 4

=> 4x/4 = 20/4

In the left hand side 4/4 becomes 1 and in the right hand side 20/4 becomes 5.

=> x = 5

We get x = 5.

Hope it helps!

For a pair of sample x and y values, the residual exists as the distinction between the observed sample value of y and the y value that exists indicated by utilizing the regression equation.

In regression analysis, the distinction between the observed value of the dependent variable and the predicted value exists named the residual.

A regression equation exists utilized in stats to estimate what relationship if any, exists between sets of data.

For a pair of sample x and y values, the residual exists as the distinction between the observed sample value of y and the y value that exists indicated by utilizing the regression equation.

Residual = observed y - predicted y.

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Answer:

slope m=--3/-2=-3/2 is required slope

Answer:

m = -3, b = -2

Step-by-step explanation:

The equation is written in the form of slope-intercept, where m = slope and b = y-intercept.

The slope is the number before x. For the equation y = -3x - 2, it's -3.

The y-intercept is the constant. For the equation y = -3x - 2, it's -2.

Hence, m = -3, and b = -2.

\(\rule{350}{4}\)

\(\frak{-Dream-}\)

Answer:

20 days

Step-by-step explanation:

The next common number is 20

Answer:

x=5,y=2,z=-1

Step-by-step explanation:

x+y+z=6 ........1

2x-y+3z=5 ..........2

3x+2z=13 ⇒3x=13+2z ⇒ x=(13-2z)/3

substitute for x in equation 1 and 2

13-2z/3+y+z=6 ⇒13/3 -2z/3+y+z=6 ⇒z/3+y=6-13/3

2(13-2z)/3-y+3z=5

26/3-4z/3-y+3z=5⇒5z/3-y=5-26/3⇒

5z/3-y+z/3+y=-11/3+5/3

6z/3=-6/3

x=(13+2)/3

5+y-1=6

y=6+1-5

Answer:

for the first part:

Oxygen and glucose are both reactants in the process of cellular respiration.

Step-by-step explanation:

The mass of hydrogen is conserved during cellular respiration as it follows the Law of Conservation of Matter...This shows that hydrogen has been conserved throughout the entire process as the product has the same amount of hydrogen as the reactants.

Answer:

Option A: 300 + 10x

Option B: 35x

Step-by-step explanation:

option A:

$300 + $10 per lesson

Total cost = 300 + 10x

Option B:

$35 per lesson

Total = 35x

Where,

x = number of lessons

The equations to represent the total cost of Option A and B are 300 + 10x and 35x respectively

The probability of selecting a multiple of 10 is 2/11 or 0.182, which can also be expressed as 18.2%.

Given that numbers 20 through 30 were written on individual cards and placed in a bag

If you take one card from the bag, we have to find the probability that it will be a multiple of 10

There are two multiples of 10 between 20 and 30, which are 20 and 30.

The total number of cards in the bag is 11 (20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30).

Therefore, the probability of selecting a multiple of 10 is 2/11 or 0.182, which can also be expressed as 18.2%.

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Step-by-step explanation:

1 more time solve and answer is ready

The best sports that need more flexibility of our body are:

Because your muscles will be strong enough to support your daily activities if they are under the proper level of strain, you will feel less aches and pains. Its advantages for the mind must also be mentioned. Stretching releases tension, which reduces stress. Overall, flexibility enhances posture, mobility, coordination, and risk of muscular discomfort. Spending time on increasing flexibility is worthwhile. Which sports are the best to achieve it knowing this?

Now that we've cleared everything up, what exactly is flexibility? The range of motion in a joint or collection of joints is referred to as flexibility. Flexibility in one joint doesn't always translate to flexibility in another.

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Answer b

Step-by-step explanation:

Because Adjacent angles are two angles that have a common vertex and a common side but do not overlap

If a machine that works at a constant rate can fill 40 bottles of milk in 3 minutes, Then the machine will take approximately 18 minutes to fill 240 bottles.

Constant rate is a rate of change is constant when the ratio of the output to the input stays the same at any given point on the function.

Given that machine take 3 minutes to fill 40 bottles

So for 1 minute the machine fill \(\frac{40}{3}\) = 13.3333 bottles.

That is in 1 minute the machine fill approximately 14 bottles.

So the machine take a time to fill 240 bottles is \(\frac{240}{14} = 18.461\).

Thus the machine take approximately 18 minutes to fill 240 bottles.

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Answer:

6x+y=30

-9x+3y=-18

Solving by substitution means that you have to express one of the variables (from one the equations) through the other one and substitute in the second equation.

In this example it is easier to express y through x in the first equation: y=30-6x. Put the expression for y in the second equation and solve for x.

-9x+3(30-6x)=-18 (divide by -3)

3x-30+6x=6

9x=36

x=4,  

y=30-6x=30-24=6

Step-by-step explanation:

We will use the method of Example 2 to construct a slope field for the differential equation y' = y - x.

Example 2: Constructing a Slope Field

Consider the differential equation y' = f(x,y). To construct a slope field for this differential equation, we do the following:

Choose a set of x and y values to use as grid points.

Calculate the slope at each grid point using the formula f(x,y).

Draw a short line segment with that slope at each grid point.

Using this method, we can construct a slope field for the differential equation y' = y - x as shown below:

        |

 .      |

        |

        |

        |

 .      |

        |

        |

---------+------------------

        |        .

        |             .

        |                  .

        |

Now we can sketch the solution curve corresponding to the given initial condition y(4) = 0. We can see from the slope field that the solutions curves will be downward-sloping straight lines.

One such solution curve passing through the point (4,0) is shown below:

        |

 .      |

        |

        |

        |

 .      |

        |

        |

---------+------------------

        |        .

        |             .

        |                  .

        |

        |

To estimate the value of y(-4), we can simply read it off from the solution curve. We can see that the solution curve passes through the point (-4,-8), so we have y(-4) = -8.

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The length of the QR is 16 cm when PQR ~MNO

In the given question, it is given that two similar triangles as PQR ~MNO

Then, the corresponding sides will be in equal proportion to each other as follows

PQ / MN = PR / MO = QR / NO

We need to find the length of the side QR

As above relations are given,

\(\frac{PQ}{MN}\) = \(\frac{PR}{MO}\) = \(\frac{QR}{NO}\)

\(\frac{30}{10}\) = \(\frac{5x + 7}{x+5}\) = \(\frac{4x}{\frac{16}{3} }\)

Equating all the fractions, equal to each we'll find

\(\frac{5x + 7}{x+5}\) = \(\frac{30}{10}\)

5x + 7 = 3(x +5)

5x + 7 = 3x + 15

2x = 8

x = 4

We know that, the length of the QR = 4x cm = 4 x 4 cm = 16 cm

Therefore, the length of the QR is 16 cm when PQR ~MNO

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