Find the degree of the monomial 3x4y3​

Based on the information provided, it can be determined that there are 120 steps visible on the escalator at any given time.

Assume that there are x total steps, e for the escalator speed, and b for Bob's pace.

Bob noticed 75 stairs and climbed the entire escalator in the time it took him to ascend it. As a result, the escalator must have added an extra x + 75 steps.

Let e and b be the speeds of the escalator and Bob, respectively.

Alice took 150 steps at a speed of (3b-e) step rate as she descended the stairs.

Bob took 75 steps at a speed of (b+e) each step as he ascended.

Since, Al and Bob were walking the same distance at a time , we have,

150(3b-e) = 75(b+e)  

Solving  these two equation we get ,  e/b = 3/5

Thus while Bob took 75 steps to go up, the escalator contributed an extra

3/5 * 75 = 45 steps

Finally, there is a total of 75+45=120 steps in the length of the escalator.

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Answer:

Question 1

Question 2

If a normal distribution has a mean of 4 and a standard deviation of 1.5. what is the z-score of x= 5.5 is 1

The mean of the normal distribution = 4

Standard deviation of the normal distribution = 1.5

The value of x = 5.5

The z-score of the normal distribution = The mean of the normal distribution / Standard deviation of the normal distribution

Substitute the values in the equation

The z-score of the normal distribution  = (5.5 - 4) / 1.5

Substract the terms

= 1.5 / 1.5

= 1

Hence, if a normal distribution has a mean of 4 and a standard deviation of 1.5. what is the z-score of x= 5.5 is 1

The complete question is:

suppose a normal distribution has a mean of 4 and a standard deviation of 1.5. what is the z-score of x = 5.5

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Answer:

Out put would be - 2

Step-by-step explanation:

\(y = 3x \div 9 \\ y = \frac{3x}{9} \\ y = \frac{x}{3} \\ plug \: x = - 6 \\ y = \frac{ - 6}{3} \\ \huge \purple{ \boxed{ y = - 2}}\)

The area between one standard deviation and either side of mean is 34%

The empirical rule, also referred to as the three-sigma rule or 68-95-99.7 rule, is a statistical rule which states that for a normal distribution, almost all observed data will fall within three standard deviations (denoted by σ) of the mean or average (denoted by µ).

In particular, the empirical rule predicts that 68% of observations falls within the first standard deviation (µ ± σ)

95% within the first two standard deviations (µ ± 2σ)

99.7% within the first three standard deviations (µ ± 3σ).

According to the question,

If we place the flag 1 standard deviation on either side of the mean

which means flag is placed either on (µ + σ) or ( (µ - σ)

and Using Empirical rule,

68% of area lie under (µ ± σ)

Therefore , Area between either  (µ + σ) or ( (µ - σ) = 68 / 2

=> 34%

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The estimated population for an area can be Red is 2611.2 and Green is 1894.4 respectively.

Given the population for a 1 cm2 area, the population of a 20 cm by 40 cm area is;

Green = 1894.4 Red = 2611.2

How can you determine the population using the population density?

The following are some probable details for a population density of 1 cm2:

The number of people per 6.25 cm2 is;

Red = 20.4

Green ≈ 14.8

Therefore, the density per 1 cm2 is;

Red = 20.4/6.25 = 3.264

Green ≈ 14.8 = 2.368

Consequently, the inhabitants of a 20 by 40 cm region are;

Red = 3.264 × 20 × 40 = 2611.2

Green ≈ 14.8 = 2.368 = 1894.4

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Answer:

58.6 miles per hour

Step-by-step explanation:

205.1 miles /3.5 hours= 58.6 mph

The inverse function of f(x) = -4√x - 1 is g(x) = (x + 1)² / 16.

To find the inverse function of f(x) = -4√x - 1, we need to swap the variables x and y and solve for y.

Step 1: Replace f(x) with y: y = -4√x - 1.

Step 2: Swap x and y: x = -4√y - 1.

Step 3: Solve for y: Add 1 to both sides and isolate the radical term: x + 1 = -4√y.

Step 4: Divide both sides by -4 to isolate the radical term: (x + 1) / -4 = √y.

Step 5: Square both sides to eliminate the square root: [(x + 1) / -4]² = y.

Step 6: Simplify the equation: y = (x + 1)² / 16.

Therefore, the inverse function of f(x) = -4√x - 1 is g(x) = (x + 1)² / 16.

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If sofia has a collection of 200 coins, 40 coins represent 20% of Sofia's collection.

To find out how many coins represent 20% of Sofia's collection, we need to first calculate what 1% of her collection is.

To do this, we can divide the total number of coins by 100:

1% of Sofia's collection = 200 coins ÷ 100 = 2 coins

Now that we know that 1% of her collection is 2 coins, we can find 20% by multiplying 2 by 20:

20% of Sofia's collection = 2 coins × 20 = 40 coins

Therefore, 40 coins represent 20% of Sofia's collection.

To find out what percentage a different number of coins represents, we can use the same method. For example, if we want to know what percentage 30 coins represent, we can divide 30 by 2 (since 2 coins represent 1%), which gives us 15%.

So, 30 coins represent 15% of Sofia's collection.

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To find the number of ways to choose 5 dozen croissants with at least two of each kind from the six available types (plain, cherry, chocolate, almond, apple, and broccoli), we can use combinations and permutations.

Since we need to have at least two of each kind, let's first subtract these fixed quantities from the total:

2 plain croissants

2 cherry croissants

2 chocolate croissants

2 almond croissants

2 apple croissants

2 broccoli croissants

Now we are left with 5 dozen - 2 each = 5 dozen - 12 croissants.

We have 6 types of croissants remaining, and we need to distribute the remaining 5 dozen - 12 croissants among these types.

Using stars and bars method, we can calculate the number of ways to distribute the remaining croissants. The formula for stars and bars is (n + r - 1) C (r - 1), where n is the number of items to be distributed and r is the number of bins (types of croissants).

In this case, n = 5 dozen - 12 = 5 × 12 - 12 = 48, and r = 6.

So, the number of ways to distribute the remaining croissants is (48 + 6 - 1) C (6 - 1) = 53 C 5.

Using the formula for combinations, 53 C 5 = 53! / (5! × (53-5)!) = 53! / (5! × 48!).

Calculating this value, we get:

53 C 5 ≈ 2,869,034.

Therefore, there are approximately 2,869,034 ways to choose 5 dozen croissants with at least two of each kind from the available options.

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D

Step-by-step explanation:

....................

Answer:

Love ya ;)

Step-by-step explanation:

Answer:

i would say 5

Step-by-step explanation:

4 is almost the same size as \(x\) but  \(x\) is just a little bit longer and its slanted

The required solution to the given statement is 14/15.

The least common multiple is defined as the least positive integer that is dividable by both given numbers.

A group's Least Common Multiple (LCM) is the smallest number that is a multiple of all the numbers. For example, the LCM of 4 and 5 is 20; 20 is the smallest number that is both a multiple of 4 and a multiple of 5

The statement is given in the question below as:

-2/5 plus 4/3

Here "plus" represents the addition sign (+)

So, the algebraic form of the above statement will be as:

⇒ -2/5 + 4/3

Take the LCM between the fractions, we get

⇒ ( -6 + 20)/15

⇒ 14/15

This means 14/15 is obtained from -2/5 plus 4/3.

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The equation for the exponential function containing the points (0, 8) and (1, 32) is y = 8(4)ˣ

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

An independent variable is a variable that does not depend on any other variable for its value while a dependent variable is a variable that depends on other variable.

An exponential function is in the form:

y = abˣ

Where a is the initial value and b is the multiplication factor.

At point (0, 8):

8 = ab⁰

a = 8

At point (1, 32):

32 = 8b

b = 4

The equation for the exponential function containing the points (0, 8) and (1, 32) is y = 8(4)ˣ

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Answer: -10 I think

Step-by-step explanation:

Answer:

impossible

Step-by-step explanation:

Given problem;

  A  = 4 π R²

  To solve for R, we have to make it the subject of the expression.

Since

      A  = 4 π R² , follow these steps to find R;

    Multiply both sides by \(\frac{1}{4\pi }\)  

 A x \(\frac{1}{4\pi }\)  =  \(\frac{1}{4\pi }\) x 4 π R²

          \(\frac{A}{4\pi }\)   = R²

Then find the square root of both sides

        √R²  = \(\sqrt{\frac{A}{4\pi } }\)  

            R  = \(\sqrt{\frac{A}{4\pi } }\)

The solution is \(\sqrt{\frac{A}{4\pi } }\)

Hyponatremia is associated with overhydration and dehydration. Hyponatremia is a condition characterized by low levels of sodium in the blood.

While options a and c (insufficient intake of dietary calcium and excessive intake of dietary sodium) may have an impact on overall health, they are not directly linked to hyponatremia. The correct associations for hyponatremia are overhydration (b) and dehydration (d).

Overhydration, or water intoxication, occurs when the body takes in more water than it can excrete. This dilutes the concentration of sodium in the blood, leading to hyponatremia. Overhydration can be caused by excessive fluid intake, particularly in cases of endurance sports or drinking large amounts of water without proper electrolyte balance.

On the other hand, dehydration can also contribute to hyponatremia. When the body loses more water than it takes in, the sodium levels in the blood become relatively higher, resulting in diluted sodium concentration. This can occur due to excessive sweating, vomiting, diarrhea, or certain medical conditions.

In both cases, the balance of fluids and electrolytes in the body is disrupted, leading to low sodium levels and the development of hyponatremia. It is important to maintain a healthy fluid intake, ensuring a proper balance of water and electrolytes, to prevent these conditions and maintain overall well-being.

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The volume of the different shapes have been calculated in the space below

Volume of rectangular prism = lwh

where we define the variables as :

l = length

w = width

h = height

then when we multiply, we will have

= 4 x 10 x 6

= 240

Volume of triangular pyramid = 1 / 3 b x h

where b = base

h = height

1 / 3 x 1.5 x 2

= 1

Volume of rectangular pyramid = lwh / 3

= 7.5 x 4.5 x 5 / 3

= 56.25

= 1/2 x b x h x l

= 1/2 x 3 x 8.5 x 7

= 89.25

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Answer:

y=24

Step-by-step explanation:

since the triangles are similar, their sides are all in proportion

meaning:

\( \frac{20}{15} = \frac{32}{y} \)

simplify the fraction

\( \frac{4}{3} = \frac{32}{y} \)

cross multiply once the fraction is simplified

\(96 = 4y\)

y=24

Answer:

y = 24

Step-by-step explanation:

the first triangle 20 : x : 32

the 2nd triangle 15 : 21 : y

Solve the equation of two triangles by similarity

x = \(\frac{21 * 20}{15}\) = 28

y = \(\frac{21 * 32}{28}\) = 24

Answer:

B C E

Step-by-step explanation:

A coordinate plane showing Parking Garage Rates with Time in hours on the x-axis and Total Cost in dollars on the y-axis with a line passing through points at (1, 2.4) and (5, 4).

A graph is a visual representation of data or a mathematical function, which is often used to show the relationship between variables or to illustrate trends over time.

In the options given, the three graphs that show functions with direct variation are represented by straight lines passing through the origin, indicating that there is a direct relationship between the two variables. Specifically:

Thus, these graphs show functions with direct variation.

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Your question seems incomplete, the probable complete question is:

Which graphs show functions with direct variation? Select three options. A coordinate plane showing Parking Garage Rates with Time in hours on the x-axis and Total Cost in dollars on the y-axis with a line passing through points at (1, 2.4) and (5, 4). A coordinate plane showing Cost of Cinnamons with Quantity in ounces on the x-axis and Total Cost in dollars on the y-axis with a line passing through points at (1, 0.3) and (5, 1.5). A coordinate plane showing Breakfast Cost with Number of Meals on the x-axis and Total Cost in dollars on the y-axis with a line passing through points at (1, 1.2) and (5, 6). A coordinate plane showing Ferry Ride Cost with Number of Persons on the x-axis and Total Cost in dollars on the y-axis with a line passing through points at (1, 2) and (5, 8). A coordinate plane showing Ferry Ride Cost with Number of Persons on the x-axis and Total Cost in dollars on the y-axis with a line passing through points at (1, 2) and (5, 8).

The total number of ways students and teachers line up according to given condition is equal to 840.

Total number of students in a school = 8

Total number of teachers in a school = 3

Since the line must start with a teacher and end with a student,

Consider them as fixed positions in the line.

Arrange the remaining 7 people in the middle of the line.

First, choose one of the three teachers to be at the front of the line in 3 ways.

Then, choose one of the 8 students to be at the end of the line in 8 ways.

Next, arrange the remaining 4 teachers and 3 students in the middle of the line.

This can be done in 7!/(4!3!) = 35 ways,

Using the formula for combinations with repetition.

The total number of ways to form the line is equal to

= 3 x 35 x 8

= 840

Therefore, there are 840 ways they can line up.

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Answer:

La respuesta es A

Step-by-step explanation:

simplemente tienes que multiplicar 7 x 3 que te da 21 y luego tienes que sumar el 2 del numerador (siempre multiplica el o los enteros por el denominador y sumale el numerador)

Answer:

A

Step-by-step explanation:

The larger number in a mixed number represents how many "wholes" of the fraction there are. The fraction in a mixed number is sort of like the "leftovers", the amount that doesn't fit into a whole number. In this case, the whole number is 7, meaning there are 7 amounts of 3/3. You would multiply the whole number by the number in the denominator of the fraction, which would equal 21. The improper fraction of the whole number would be 21/3 (21 divided by 3 equals 7). Now you would add that to the fraction 2/3. The answer would be 23/3.

I hope this makes some type of sense, I didn't explain it very well.

Answer:

s=29

Step-by-step explanation:

==========================================================

Work Shown

Rule: The three interior angles of any triangle always add to 180

(angle1)+(angle2)+(angle3) = 180

(64)+(2s)+(2s) = 180

4s+64 = 180

4s+64-64 = 180-64 ..... subtracting 64 from both sides

4s = 116

4s/4 = 116/4 ............ dividing both sides by 4

s = 29

Answer:

38

Step-by-step explanation:

The first term of the given sequence is 9.

The second term is 13

= 9 + 4 . = 9 + 2 × 2.

The next number is 22.

= 13 + 9 . = 13 + 3 × 3 .

In the same way the next number of the given sequence will be

22 + 4 × 4 .

= 22 + 16 = 38.

The sum of the denominators of the two fractions is -28.

The sum of the denominators of the two fractions can be found by first finding the equivalent fractions for 2/3 and 5/11 that fit the given conditions, and then adding the denominators together.

To find the equivalent fraction for 2/3 with a sum of 45 for the numerator and denominator, we can use the equation:

x + y = 45, where x is the numerator and y is the denominator.

Since the fraction is equivalent to 2/3, we can also use the equation 2/3 = x/y.

Solving for x in the first equation gives us x = 45 - y, and substituting this into the second equation gives us 2/3 = (45 - y)/y.

Multiplying both sides by 3y gives us 2y = 135 - 3y, and solving for y gives us y = 27.

This means that the denominator of the equivalent fraction for 2/3 is 27.

To find the equivalent fraction for 5/11 with a difference of 30 between the numerator and denominator, we can use the equation:

x - y = 30, where x is the numerator and y is the denominator.

Since the fraction is equivalent to 5/11, we can also use the equation 5/11 = x/y.

Solving for x in the first equation gives us x = 30 + y, and substituting this into the second equation gives us 5/11 = (30 + y)/y.

Multiplying both sides by 11y gives us 5y = 330 + 11y, and solving for y gives us y = -55.

This means that the denominator of the equivalent fraction for 5/11 is -55.

Therefore, the sum of the denominators of the two fractions is 27 + (-55) = -28.

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