Please help my brain isn’t working today.

To calculate n, multiply p and q, and to calculate φ, multiply (p-1) and (q-1).

To find the values for "n" and "?" (which is likely meant to be the Euler's totient function, denoted as φ), given the primes p = 31 and q = 47, we can use the following formulas:

Calculate n:

n = p * q

n = 31 * 47

n = 1457

Calculate φ (Euler's totient function):

φ = (p - 1) * (q - 1)

φ = (31 - 1) * (47 - 1)

φ = 30 * 46

φ = 1380

Therefore, the values for n and φ are:

n = 1457

φ = 1380

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We can conclude that the equation has exactly one real root (namely, x = 0) and two complex conjugate roots.

What is the quadratic equation?

The solutions to the quadratic equation are the values of the unknown variable x, which satisfy the equation. These solutions are called roots or zeros of quadratic equations. The roots of any polynomial are the solutions for the given equation.

I can give an example to demonstrate how to use inspection and Descartes' rule to find a real root of an equation and show that there are no other real roots.

Consider the equation x³ - 3x² + 2x = 0. By inspection, we can see that x = 0 is a real root of the equation since the left-hand side of the equation evaluates to 0 when x = 0.

To use Descartes' rule, we need to count the number of sign changes in the coefficients of the polynomial f(x) = x³ - 3x²  + 2x.

There are two sign changes: from positive to negative in the coefficient of x² and from negative to positive in the constant term.

Therefore, according to Descartes' rule, the equation has either two or zero positive real roots.

Next, we need to count the number of sign changes in the coefficients of f(-x), which is obtained by replacing x with -x in f(x).

We have f(-x) = -x³ - 3x² - 2x, which has one sign change: from negative to positive in the coefficient of x².

Therefore, according to Descartes' rule, the equation has either one or three negative real roots.

Since the total number of positive and negative real roots must add up to the degree of the polynomial (which is 3 in this case),

Hence, we can conclude that the equation has exactly one real root (namely, x = 0) and two complex conjugate roots.

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The scatterplot shows the weakest negative linear correlation is On a graph points are grouped closely together and increase. Option A.

The scatterplot showing the weakest negative linear correlation is the following scatterplot. The dots are scattered along the decreasing trend line. The weakest linear relationship is indicated by a correlation coefficient equal to 0. A positive correlation means that an increase in one variable tends to increase the other variable.

A negative correlation means that as one variable increases the other tends to decrease. Plotted points indicate correlations between variables if any. The scatterplot above is an example of a weak negative correlation. In this graph, y values ​​decrease as x values ​​increase, but the pattern does not resemble a straight line.

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Answer:

0.729 cubic millimeters

Step-by-step explanation:

Here,

Length ( l ) = 0.9 mm

Base ( b ) = 0.9 mm

Height ( h ) = 0.9 mm

l = b = h = 0.9 mm = a

To find : Volume

This shape is a cube.

Formula : -

Volume of cube = a³

Volume of cube

= 0.9³

= 0.9 x 0.9 x 0.9

= 0.729 cubic milimeters

Answer:

Formula for volume of cube;

V = \(s^{3}\)

Where 's' represents one side of a cube which is being cubed.

or

V = w · l · h

Where 'w' stands for the width, 'l' is the length, and 'h' represents the height.

For this, I'll be using the formula \(s^{3}\).

What we know:

Use one of these sides to substitute for 's';

V = \(s^{3}\)

V = 0.9^3 ← (The " ^ " symbol is another way of showing to the power of.)

V = (0.9 · 0.9 · 0.9)

V = 0.729 mm, the volume of this cube is 0.729 cubic millimetres.

Answer:

distributive property says x(a+b)

= xa+xb

so 5(n-3)

= 5n-15

Answer: 5n-15

Step-by-step explanation: 5(n-3). multiply n by 5 and -3 by 5 to get 5n-15

Answer:

x = -4

Step-by-step explanation:

(4x-5)/(3x+5) = 3

1. Multiply both sides by 3x+5

  4x-5 = 3(3x+5)

2. Expand

   4x-5 = 9x+15

3. -4x from both sides

   -5 = 5x+15

4. -15 from both sides

  -20 = 5x

   x = -4

It is greater than 3

x = 4

We can solve the equation as

(4x-5) = (3x+5)*3

4x-5=9x+15

x = 4

The pair of equations whose lines are perpendicular is (d) y = 1/6x + 3; y = -6x - 3

from the question, we have the following parameters that can be used in our computation:

The pair of equations

By definition;

The slopes of perpendicular lines are opposite reciporcals

So, we have

(a) -1/3 and -3 false

(b) -3 and -6 false

(c) 3 and 3 false

(d) 1/6 and -6 true

Hence, the equations are (d) y = 1/6x + 3; y = -6x - 3

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Answer:

We can start by using algebra to solve for the total goal of the canned food drive. Let's let "g" be the total goal in number of cans.

If 600 cans is 80% of their goal, then we can write:

0.8g = 600

To solve for "g", we can divide both sides by 0.8:

g = 600 / 0.8

g = 750

So the total goal of the canned food drive is 750 cans.

To find out how many more cans the students need to collect to reach their goal, we can subtract the number of cans they've already collected from the total goal:

750 - 600 = 150

Therefore, the students need to collect 150 more cans to reach their goal.

Answer:b

Step-by-step explanation:

Answer:

((9+4)/0.25)-10.4 ÷4 && 52-2.6

Step-by-step explanation:

Step 3 should be ((9+4)/0.25)-10.4 ÷4

step 6 should be 52-2.6

Answer:

The value of X is 35

Step-by-step explanation:

If I’m not right I apologize

According to the given statement The two real solutions of the equation x² = 100 are x = 10 and x = -10.

To find the two real solutions of the equation x² = 100, we need to take the square root of both sides of the equation.
Taking the square root of both sides, we get:

√(x²) = √100

Simplifying, we have:

|x| = 10

This equation tells us that the absolute value of x is equal to 10.

To find the two real solutions, we consider both the positive and negative values of x.

First, we consider the positive value:

|x| = 10

x = 10

Next, we consider the negative value:

|x| = 10

x = -10

Therefore, the two real solutions of the equation x² = 100 are x = 10 and x = -10.

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When solving the equation x² = 100, we find that there are two real solutions: x = 10 and x = -10.

The equation x² = 100 represents a quadratic equation in which the variable x is squared. To find the real solutions of this equation, we need to determine the values of x that satisfy the equation.

Step 1: Take the square root of both sides of the equation. √(x²) = √100

Simplifying, we get: x = ±10

Step 2: The two real solutions of the equation x² = 100 are x = 10 and x = -10.

In this case, the square root of 100 is 10, and since the equation involves the square of x, we have two possible values for x: 10 and -10. Both of these values satisfy the equation x² = 100.

Therefore, the two real solutions of the equation x² = 100 are x = 10 and x = -10.

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Answer:

Father=36 years old

Step-by-step explanation:

5 people 4 children and a father

average age=12

add the ages

3+5+6+10=24

24+12=36

check the work

36 +24=60

60/5=12

answer=36

Answer:

36 years old

Step-by-step explanation:

The average age of father and four children can be expressed in mathematics as:

\(\displaystyle \large{\dfrac{f+c_1+c_2+c_3+c_4}{5}}\)

The above expression is what you call average value or mostly known as mean - the mean value is sum of all data values divided by number of data values. The formula reference for mean/average value is:

\(\displaystyle \large{\dfrac{x_1+x_2+x_3+...+x_n}{n} = \dfrac{1}{n} \sum_{i=1}^n x_i}\)

Determine or let the following be:

It is also given in the question that children’s ages are 3, 5, 6 and 10. Hence:

\(\displaystyle \large{\dfrac{f+3+5+6+10}{5} = 12}\)

From above, it is also given that average of father’s age and children’s age is 12 years old - that now gives us an equation. What we have to do now is to solve for f.

First, multiply 5 both sides to get rid of denominator.

\(\displaystyle \large{\dfrac{f+3+5+6+10}{5} \cdot 5 = 12 \cdot 5}\\\\\displaystyle \large{f+3+5+6+10=60}\)

Evaluate 3+5+6+10 which equals 24.

\(\displaystyle \large{f+24=60}\)

Next, subtract both sides by 24 to isolate f-term.

\(\displaystyle \large{f+24-24=60-24}\\\\\displaystyle \large{f=36}\)

Finally, we have received the value of term which is f = 36. We know that the term represents father’s age and therefore, father’s age is 36 years old!

If you have any doubts, please let me know in the comment!

Yes, the function f(x) = (x - 7)/(x + 4) has an inverse function. The inverse function is f^(-1)(x) = (4x + 7)/(1 - x), with the restriction that x is not equal to 1.

To find the inverse function, we can interchange the roles of x and y in the original function and solve for y.

Let's start by swapping x and y in the original function:

x = (y - 7)/(y + 4)

Next, we'll solve this equation for y. To eliminate the denominator, we can multiply both sides of the equation by (y + 4):

x(y + 4) = y - 7

Expanding the left side:

xy + 4x = y - 7

Now, let's isolate the y terms on one side:

xy - y = -4x - 7

Factoring out y:

y(x - 1) = -4x - 7

Finally, we can solve for y by dividing both sides by (x - 1):

y = (-4x - 7)/(x - 1)

This gives us the inverse function f^(-1)(x) = (4x + 7)/(1 - x).

However, we need to consider the restrictions on the domain of the inverse function. In this case, we can't have x = 1, as it would result in division by zero in the inverse function. Therefore, the domain of the inverse function is x ≠ 1.

To summarize, the function f(x) = (x - 7)/(x + 4) has an inverse function f^(-1)(x) = (4x + 7)/(1 - x), with the restriction that x is not equal to 1.

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Answer: D

Step-by-step explanation:

Two rays that have a common endpoint

3 (hight) × 8 (base) = 24

24 ÷ 2 = 12 (area of triangle)

12 × 2 = 24 (because there are 2 triangles)

5 × 7 = 35 (because length times width)

35 × 2 = 70 (because there are 2 rectangles)

8 × 7 = 56 (because of the base)

24 + 12 + 24 + 35 + 70 + 56 = 221

The volume of the object is 9.771 cubic meters.

The volume of a 4422 kg object with a density of 452 kg/m³ can be calculated using the formula: volume = mass / density. In this case, the volume is equal to 4422 kg divided by 452 kg/m³.

To find the volume of the object, we can use the formula: volume = mass / density. Given that the mass of the object is 4422 kg and the density is 452 kg/m³, we can substitute these values into the formula.

volume = 4422 kg / 452 kg/m³

To divide these quantities, we need to convert the units to match. The density is given in kg/m³, so we keep it as it is. The mass is given in kg, which is already in the correct unit.By dividing the mass (4422 kg) by the density (452 kg/m³), we can determine the volume of the object. The resulting value will have the unit cubic meters (m³), representing the volume.

Performing the calculation:

volume = 4422 kg / 452 kg/m³ = 9.771 m³

Therefore, the volume of the object is 9.771 cubic meters.

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We may build up a proportion and solve for the scale model radius of Neptune using the ratio between the radii of the two planets and the known scale model radius of the Earth. The scale model of Neptune that is produced has a radius of around 9.7 cm.

We may take advantage of the fact that the ratio between the two planets' radii and the ratio between their respective scale model radii is the same. Let's name the Neptune scale model radius "r" Then, we may set up the ratio shown below:

Neptune's radius is equal to the product of Earth's radius and its scale model.

With the provided values, we may simplify and obtain:

24620 km / 6370 km equals 2.5 cm / r

We obtain the following when solving for "r":

r = (24620 km * 2.5 cm) / (6370 km)

r ≈ 9.7 cm

Therefore, a scale model of Neptune would have to be drawn with a radius of approximately 9.7 cm.

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Answer:

B

Step-by-step explanation:

First find out how much he made without the supplies. To do this you would multiply $15.80 by the 7 hours he worked. This gives you 110.60. Then subtract 110.60 from the 190.89 the job cost. You would then overall get 80.29 for the supplies

The degree of the product of the two polynomial is 6.

What is a polynomial?

A polynomial is a mathematical statement made up of coefficients and indeterminates that uses only the operations addition, subtraction, multiplication, and powers of positive integers of the variables. x² − 4x + 7 is an illustration of a polynomial with a single indeterminate x.

Given that there are two polynomial.

The sum of two polynomials has degree 4.

Thus the degree of a polynomial is 4.

The degree of the another polynomial is less than or equal to 4.

Also the difference of their degree is 2.

Thus the degree of the another polynomial is (4 - 2) =2.

The degree of the polynomials whose degree are a and b is a+b.

The degree of the product of the given polynomial is (4 + 2) = 6.

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you so funny

Step-by-step explanation:

Answer:

14.286% increase

Step-by-step explanation:

Since the admission to the amusement park increased by $10 we need to find what percentage of $70 equals $10.

We can find this percentage by multiplying 10 (the difference in money) by 100 (a hundred percent), and dividing that by 70 (the initial cost)

\(10*100/70=14.286\)

The calculated value of the number of people who had slept for less than 6 hours is 20

From the question, we have the following parameters that can be used in our computation:

The density plot

From the plot, we have

The cumulative frequency (CF) of people who had slept for less than 6 hours to be

CF = 20

This means that the number of people who had slept for less than 6 hours is 20

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The measurement of altitude BE is 4 unit.

As the average level of the sea's surface, sea level is used to measure altitude. A high altitude is defined as being significantly higher than sea level, such as Mount Everest. It is referred to as having a low altitude when something is closer to the ground, like a plane coming in to land.

As ABCD is rectangle

AD = BC = 12

ΔABC = ΔBCD

BE = FD

5² = 3²+BE²

AE = 3

BE = √(5²-3²)

BE = 4

Thus, The measurement of altitude BE is 4 unit.

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The value of z if the area to the left of z is 0.9082 will be 1.2816.

The area to the left of a standard normal random variable Z is given by the cumulative distribution function (CDF) of the standard normal distribution. If the area to the left of Z is 0.9082, this means that P(Z <= z) = 0.9082. To find the value of z, we can use a standard normal table or a calculator that can compute the inverse cumulative distribution function (ICDF) of the standard normal distribution, often denoted as "norminv" or "z^-1". In this case, we would find that z = 1.2816, as P(Z <= 1.2816) = 0.9082.

The value of z in this case is 1.2816, as we found that the area to the left of z is 0.9082, which means P(Z <= z) = 0.9082. This value can be found by using a standard normal table or a calculator that can compute the inverse cumulative distribution function (ICDF) of the standard normal distribution.

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(a) Example question: "How often do you look at social media while doing schoolwork?

(b) Sofie can select a simple random sample of students by using a random number generator to assign a unique identification number to each student in the online high school.

(c) The sample for Sofie's research is the 32 completed surveys she received. These surveys represent the responses of a subset of the population. The population, in this case, refers to all the students at the online high school.

(d) If Sofie uses only the completed surveys, she can conclude that approximately 50% (16 out of 32) of the students who completed the survey reported using social media while doing schoolwork.

(a) Please select one of the following options: never, rarely, occasionally, frequently, or always."

(b) She can then use the random number generator again to select a specific number of students from the entire population of students, ensuring that each student has an equal chance of being selected. For example, if there are 500 students in total and Sofie wants a sample size of 50, she can generate 50 random numbers and select the corresponding students based on their identification numbers.

(d) However, it is important to note that this conclusion is specific to the sample of completed surveys and cannot be generalized to the entire population of high school students.

To make an inference about the percent of all high school students who use social media while doing schoolwork, Sofie would need a larger and more representative sample that covers a wider range of students in the online high school.

Additionally, she should consider potential biases in the sample, such as non-response bias if the students who chose not to complete the survey have different social media usage patterns compared to those who did respond.

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The volume of the square base pyramid is 1383.6 m³.

The volume of the pyramid with square base can be found as follows:

The side length of the square base is 17.6 metres and the height of the

pyramid is 13.4 metres.

Therefore,

volume of the pyramid = 1 / 3 Bh

where

Therefore,

volume of the pyramid = 1 / 3 × 17.6² × 13.4

volume of the pyramid = 309.76 × 13.4 / 3

volume of the pyramid = 4150.784 / 3

volume of the pyramid = 1383.6 m³

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