Please help with my math

The sum of the internal angles in a quadrilateral is equal to 360, therefore:

Answer:-3/5

Step-by-step explanation:

rise/run

The expressiοn syntax tree fοr the given well-balanced algebraic expressiοn is cοnstructed.

Let's gο thrοugh the steps tο cοnstruct an expressiοn syntax tree fοr a given well-balanced algebraic expressiοn. We'll use the stack, infix tο pοstfix, and pοstfix evaluatiοn tree cοnstructiοn techniques.

Let's assume we have the fοllοwing well-balanced algebraic expressiοn:

((a+b)*(c-d))/e

Step 1: Infix tο Pοstfix Cοnversiοn

We'll cοnvert the given infix expressiοn tο pοstfix nοtatiοn using the stack.

Infix Expressiοn: ((a+b)*(c-d))/e

Pοstfix Expressiοn: ab+cd-*e/

Step 2: Cοnstructing the Pοstfix Evaluatiοn Tree

We'll use the pοstfix expressiοn tο build the evaluatiοn tree. Each οperand and οperatοr will be represented as a nοde, and the οperands will be the children οf the οperatοr nοdes.

Pοstfix Expressiοn: ab+cd-*e/

Step 3: Infix Traversal

We'll perfοrm an infix traversal οf the evaluatiοn tree tο οbtain the expressiοn in infix nοtatiοn.

Infix Traversal: ((a+b)*(c-d))/e

Sο, the expressiοn syntax tree fοr the given well-balanced algebraic expressiοn is cοnstructed.

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The rate at which the people are moving apart after 2 hours is 0 ft/s.

To find the rate at which the man and the woman are moving apart after 2 hours, we can calculate the distance between them at the starting point and then use the concept of relative velocity to determine their rate of separation.

The man starts walking south at 5 ft/s from point P.

Thirty minutes later (0.5 hours), the woman starts walking north at 4 ft/s from a point 100 ft due west of point P.

Let's calculate the distance between them at the starting point (after 30 minutes):

Distance = Rate × Time

Distance = 5 ft/s × 0.5 hours

Distance = 2.5 feet

Now, after 2 hours, the man has been walking for 2 hours and 30 minutes (2.5 hours), while the woman has been walking for 2 hours.

The distance between them after 2 hours is the sum of the distance traveled by each person. Since they are walking in opposite directions, we can add their distances:

Distance = (5 ft/s × 2.5 hours) + (4 ft/s × 2 hours)

Distance = 12.5 feet + 8 feet

Distance = 20.5 feet

To find the rate at which they are moving apart, we differentiate the distance with respect to time:

Rate of separation = d(Distance) / dt

Since the distance is constant (20.5 feet), the rate of separation is zero. This means that after 2 hours, the man and the woman are not moving apart from each other; they are at a constant distance from each other.

Therefore, the rate at which the people are moving apart after 2 hours is 0 ft/s.

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The number which best completes the sequence is option c) 72.

The sequence seems to be alternating between multiplying by 3 and dividing by 2.
Starting with 10, we have:
10 x 3 = 30
30 ÷ 2 = 15
15 + 1 = 16
16 x 3 = 48
48 ÷ 2 = 24
24 + 1 = 25

So, the next number in the sequence should be:
25 x 3 = 75
75 ÷ 2 = 37.5

However, none of the answer options match 37.5. Therefore, we need to look for a pattern that matches one of the answer options.

If we multiply 25 by 3 and then divide by 2, we get 37.5. However, if we continue with this pattern, we get:
37.5 x 3 = 112.5
112.5 ÷ 2 = 56.25

Again, none of the answer options match 56.25.

Let's try multiplying 24 by 3 and then dividing by 2:
24 x 3 = 72
72 ÷ 2 = 36

Since 36 is not in the sequence, we can eliminate option b) 75.

Therefore, the number which best completes the sequence is option c) 72.
The number which best completes the sequence 10, 30, 15, 16, 48, 24, 25 is:

c) 72

The sequence can be described as alternating between multiplying by 3 and dividing by 2, then adding 1.

10 x 3 = 30
30 / 2 = 15
15 + 1 = 16
16 x 3 = 48
48 / 2 = 24
24 + 1 = 25
25 x 3 = 75

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The required explanation for log of base 10 is described.

The ability of logarithms to solve exponential problems is a large part of their strength. Examples of this include sound (measured in decibels), earthquakes (measured on the Richter scale), starlight brightness, and chemistry (pH balance, a measure of acidity and alkalinity).

The distinction between log and ln is that log is expressed in terms of base 10, while ln is expressed in terms of base e. As an illustration, log of base 2 is denoted by log2 and log of base e by loge = ln (natural log).

The logarithm can be rewritten using the general rule. The common logarithm, which has a base of 10 always, is what you're dealing with when the log has no base.

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By filling answer in the boxes we get net changes in 10 months = -23

Definition - The net change theorem states that when a quantity changes,  the final value equals the initial value plus the integral of the rate of change. Net change can be a positive number, a negative number, or zero.

We have been given that -

Months = 10

changes in months =(-7 ,10, -7 ,-7 ,10 ,-14 ,-14, -14, 10, 10)

So the factored expression is as follows -

we have same changes that is -7 , -14 is in 3-3 months and 10 in 4 months .

we can write expression as -

3(-7) + 3(-14) + 4(10)

by solving expression

= -21 -42 + 40

= 40 - 63

= -23

now fill the box

3(-7 -14)+4(10)

Thus the answer of the factored expression i.e. 3(-7 -14)+4(10) is -23 , which give the net changes in 10 months .

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Step-by-step explanation:

a. log 2 3/7

= log 2 ³ ÷ log 2 ⁷

= log 2 ³ - log 2 ⁷

= 1.585 - 2.807

= -1.222

b. log 2 ¹⁸

= log 2 ⁷ × log 2 ³ - log 2 ³

= log 2 ⁷ + log 2 ³ - log 2 ³

= 2.807 + 1.585 - 1.585

=2.807

c. log 2 ⁴⁹

= log 2 ⁷ × log 2 ⁷

= log 2 ⁷ + log 2 ⁷

= 2.807 + 2.807

= 5.614

Answer:

3 1/16

Step-by-step explanation:

3 is the whole number

Answer:

b

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

you have to do a^2+b^2=c^2, so a you don't know so skip that then for the b u would put 12^2 wich is 144 then you know the c witch us 13^2 wich is 169. then solve the equation which would give you a answer of 5

Answer: 21 quarters and 2 nickels.

Step-by-step explanation: $0.25(one quarter) x 21 = $5.25. $0.05(one nickel) x 2 = $0.10. $5.25 + $0.10= $5.35.

(a) The amount of salt in the tank after t minutes is zero.

(b) The amount of salt in the tank after 10 minutes is 0 kg.

Given: Initial quantity of brine = 6000 L

Concentration of salt in the initial quantity of brine = 12 kgTotal time = t min

Rate at which water enters the tank = 60 L/min

The solution is kept thoroughly mixed and drains from the tank at the same rate. Therefore, the quantity of solution in the tank is constant.

For the solution in the tank, the amount of salt is constant.

So, the rate at which salt enters the tank = rate at which salt leaves the tank.

Let x kg of salt is in the tank after t minutes.

(a) How much salt is in the tank after t minutes?

The quantity of salt in the initial quantity of brine = 12 kg

Total quantity of solution in the tank = 6000 L

The rate at which water enters the tank = 60 L/min

Therefore, the rate at which salt enters the tank = (60/6000) × 0 = 0 kg/min

The rate at which solution drains from the tank = 60 L/min

Let the concentration of salt in the tank after t minutes be y kg/L

So, the rate at which salt leaves the tank = 60 y kg/min

According to the problem, the rate at which salt enters the tank = rate at which salt leaves the tank.=> 0 = 60 y kg/min=> y = 0

Therefore, the concentration of salt in the tank after t minutes = 0 kg/L

The amount of salt in the tank after t minutes = concentration of salt × Total quantity of solution in the tank= 0 × 6000= 0 kg

Therefore, after t minutes, there is no salt left in the tank.

(b) How much salt is in the tank after 10 minutes?

The amount of salt in the tank after 10 minutes = 0 kg (From part a)

Hence, It contains 0 kg of salt after 10 minutes.

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Answer:

\(2\frac{13}{20}\)

Step-by-step explanation:

\(1.25 + \frac{28}{20}\)

\(= \frac{5}{4}+\frac{28}{20}\)

\(=\frac{25}{20} + \frac{28}{20}\)

\(=\frac{53}{20}=2\frac{13}{20}\)

Answer:

2 13/20

Step-by-step explanation:

12345678910111

The total admission fee of the group is 22.5m + 51n + 48.

Given that the admission fee to a museum is $12.50 per nonsenior adult, $8 per child, and $6.50 per senior citizen.

Also, it was further stated that the tour group consists of m nonsenior adults, (5/4m +6) children, and 8n senior citizens.

The total amount for the fees will be:

= Non senior adults + Children + Senior citizen

= 12.5(m) + 8(1.25m + 6) + 6.50(8n)

= 12.5m + 10m + 48 + 51n

= 22.5m + 48 + 51n

= 22.5m + 51n + 48

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Hey there! :)

Answer:

x = -7/12.

Step-by-step explanation:

Given:

\(x + \frac{5}{12} = -\frac{1}{6}\)

Create a common denominator for each term:

\(\frac{12x}{12} + \frac{5}{12} = -\frac{2}{12}\)

Disregard the denominator:

12x + 5 = -2

Subtract 5 from both sides:

12x = -7

Divide both sides by 12:

x = -7/12.

These roots are also complex conjugates, so the step response will be oscillatory with a decay factor. The response will look like a damped sinusoid. the value of s1 and s2 is 25i and -25j.

Here are the solutions for the given transfer functions and the corresponding step response plots:

G(s) =\(400 / (s^2 + 12s + 400)\)

First, let's find the roots of the denominator:

\(s^2 + 12s + 400 = 0\)

Using the quadratic formula, we get:

s1 = -6 + 14.96j

s2 = -6 - 14.96j

These roots are complex conjugates, so the step response will be oscillatory with a decay factor. The response will look like a damped sinusoid.

G(s) =\(900 / (s^2 + 90s + 900)\)

The denominator can be factored as \((s + 45)^2\). Therefore, the roots are:

s1 = s2 = -45

Since both roots are negative and equal, the response will be critically damped.

G(s) = \(225 / (s^2 + 30s + 225)\)

The denominator can be factored as\((s + 15)^2\). Therefore, the roots are:

s1 = s2 = -15

Again, since both roots are negative and equal, the response will be critically damped.

G(s) = \(625 / (s^2 + 625)\)

The denominator can be factored as (s + 25j)(s - 25j). Therefore, the roots are:

s1 = 25j

s2 = -25j

Note: The step response plots can be sketched by considering the damping ratio and natural frequency of each transfer function. For critically damped systems, the response reaches steady-state the fastest, but it also overshoots the most.

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Answer:

5a) 324L

b) 0.778m

c) 0.0972m

Step-by-step explanation:

Please see the attached pictures for full solution.

Answer:

4-9y^2

Step-by-step explanation:

(2+3y)(2-3y)

2*2

2*-3y

3y*2

3y*-3y

4-6y+6y-9y^2

4-9y^2

Answer:

\(4−9 {y}^{2} \)

Step-by-step explanation:

\((2+3y)(2−3y)\)

\(2(2−3y)+3y(2−3y)\)

\(2 \times 2+2(−3y)+3y(2−3y)\)

\(2 \times 2+2(−3y)+3y \times 2+3y(−3y)\)

\(4−6y+6y−9 {y}^{2} \)

\(4+0−9 {y}^{2} \)

\(4−9 {y}^{2} \)

The term utilized to make inferences about certain population parameters is a) samples.

In statistical analysis, samples are a subset of a larger population that are selected for observation and analysis. By studying the sample, statisticians can make inferences about the larger population from which it was drawn. This allows for predictions to be made about the entire population, based on information gathered from a smaller subset.

Equations and metrics are important in statistical analysis, but they are not used to make inferences about population parameters. Equations are used to model relationships between variables and to test hypotheses, while metrics are used to quantify the properties of data sets.

Statistics, on the other hand, is the branch of mathematics that deals with the collection, analysis, interpretation, presentation, and organization of data. Statistics is used to make sense of data and to draw conclusions about the larger population from which the sample was drawn.

In summary, samples are an important tool for statisticians to make inferences about certain population parameters, and statistics is the field that studies these methods of data analysis.

Therefore, the correct answer is a) samples.

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Answer:

Mean: 8,75

Median: 7,5

Step-by-step explanation:

To find Mean

To find the mean data you have to put data all set in order:

3, 4, 6, 6, 9, 12, 15, 15

Then, all of the numbers in the data set added together and then divided by how many numbers in the data that already put in order:

3 + 4 + 6 + 6 + 9 + 12 + 15 + 15 = 70

There are 8 numbers in the data so divide 70 by 8:

70 ÷ 8 = 8,75

----

To find Median

The median is in the middle number of the data that already in order. Which is number 6 and 9.

Median = (6 + 9) ÷ 2

Median = 15 : 2

Median = 7,5

39 subjects were tested in this simple one-way ANOVA.

The df for F distribution is (treatment df, error df)

Using given information

Treatment df = 7

Error df = 31

Total df= 7+31 = 38

Again, total df = N-1, N= number of subjects tested

Then, N-1 = 38

=> N= 39

One-way ANOVA is typically used when there is a single independent variable or factor and the goal is to see whether variation or different levels of that factor have a measurable effect on the dependent variable.

The t-test is a method of determining whether two populations are statistically different from each other, and ANOVA determines whether three or more populations are statistically different from each other.

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If a block metal has a volume of 75000 cm3 and a mass of 375000g then its density is  5000 kg / m3.

Density is a measure of mass per volume. The average density of an object equals its total mass divided by its total volume. An object made from a comparatively dense material will have less volume than an object of equal mass made from some less dense substance.

      Density = mass / volume

where, m is the mass of the object. It is measured in kilogram. V is the object's total volume. It is measured in cubic meters.

In the SI unit base density is expressed in kilograms per cubic meter. A common device for measuring fluid density is a pycnometer. A device for measuring absolute density of a solid is a gas pycnometer.

volume of the metal = 75000cm3 = 0.075m3

mass of the metal = 375000g = 375 kg

Density = 375 kg / 0.075 m3

             = 5000 kg / m3

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The negation is "antarctica is not in the northern hemisphere" &  the truth value of the original proposition is FALSE and its negation is TRUE.

The sentences that can be classified as true or false , but not both are called as propositions.

For Example , "Shirt is yellow" is a proposition whereas "a is less than 2" is not a proposition as the value of a is not fixed.

Negation of proposition means writing the opposite of the given proposition.

If the proposition is true then it's truth value is "True".

If the proposition is false then it's truth value is "False".

According to the given Question

The negation of the statement "antarctica is in the northern hemisphere" is "antarctica is not in the northern hemisphere"

The truth value of the original proposition is FALSE as Antarctica is in the Southern hemisphere.

The truth value of the negation is TRUE as Antarctica is not in the Northern hemisphere it is in southern Hemisphere.

Therefore , the negation is "antarctica is not in the northern hemisphere" &  the truth value of the original proposition is FALSE and its negation is TRUE.

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Answer:

1. Surveys are used to obtain specific information from a group of people. It is administered by politicians, professionals, sociologists, and other groups to obtain data from their subjects of interest.

2. Experiments are used to establish cause-and-effect relationships. Scientists use them for highly-controlled tests to give/withdraw credence to some hypotheses.

Step-by-step explanation:

Surveys, when applied to human subjects, are used to obtain data from a selected sample of subjects. Surveys, which can be applied through mails, telephones, the internet, in-person, and through other means are aimed at getting the opinions, thoughts, and beliefs of the participants. It is administered by politicians, professionals, sociologists, and other groups to obtain data from their subjects of interest. This data can be qualitative or quantitative.

Experiments are administered to provide support or refute a given hypothesis. They establish cause and effect relationships. Scientists use them for highly-controlled tests to give/deny credence to some hypotheses. Positive controls establish the hypothesis as true. They could be conducted in the laboratory, in the field, or through observations.

Two samples drawn from two populations are independent if the selection of one sample from a population is not related to the selection of the second sample from the same population. Option C is correct:

Independence is a fundamental concept in statistics when working with samples from different populations. It refers to the absence of any relationship or connection between the two samples. Option C correctly states that the selection of one sample from a population is not related to the selection of a second sample from the same population.

If the selection of one sample were related to the selection of the second sample from the same population (Option A), it would introduce bias and invalidate the assumption of independence. Similarly, if the two samples selected from the same population had a relationship or connection (Option B), it would violate the principle of independence.

Option D, stating that the selection of one sample from one population does not affect the selection of the second sample from the second population, is not the correct definition of independence. Independence refers to the relationship between samples drawn from the same population, rather than between samples drawn from different populations.

In summary, the independence of two samples implies that the selection of one sample from a population does not affect the selection of the second sample from the same population (Option C). This concept is crucial in statistical analysis to ensure unbiased and reliable results when working with multiple samples.

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Original Coordinates:

A=(-5,-2)

B = (-2,-2)

C= (-2,-5)

D= (-5,-5)

A point (x,y) reflected over the y-axis is equal to (-x,y)

So, the new coordinates (image) are:

A'= (5,-2)

B' = (2,-2)

C'= (2,-5)

D'=(5,-5)

Solution

For this case we can do the following:

he scale factor for a scale drawing is a ratio between two measures.

B. a ratio

And the reason is because when we multiply the scaled figure by this ratio we obtain the original figure