help asap math question

Help Asap Math Question

Answers

Answer 1

The two equations that represent the remaining angle relationships are

x = 2(y + z) - 20 and x = 3z - 20

Writing equations

From the question, we are to determine the two equations that represent the remaining angle relationships

From the given information, we have that

x is the largest angle, y is the next largest angle and z is the smallest angle

Also, from the information,

"The measure of the largest angle is 20 degrees less than twice the sum of the measure of the other two angles"

That is,

x = 2(y + z) - 20

and

"The largest angle is 3 times the smaller angle minus 20 degrees"

x = 3z - 20

Hence, the two equations that represent the remaining angle relationships are x = 2(y + z) - 20 and x = 3z - 20

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Related Questions

During an influenza epidemic, we note that in a household of mother, father and two children, the probability that mother gets influenza is 10%. Furthermore, we see that the probability that father get influenza is also 10% while the probability that both mother and father get influenza is 2%. For the children, we assume a probability of 20% that each child will get influenza and a probability of 10% that both children get the disease at the same time. (a) Are the events that mother and father get influenza independent of each other? (b) What is the probability that at least one child will get influenza? (c) What is the conditional probability that the father has influenza given the the mother has influenza? 5 (d) What is the conditional probability that one child has influenza given that the other child does not have influenza?

Answers

Answer:

i could only work out (A)

Step-by-step explanation:

Given: P(MOTHER) = 0.10 P(FATHER) = 0.10 P(MOTHER AND FATHER)= 0.02 P(FIRST CHILD) = 0.20 P(SECOND CHILD) = 0.20 P(FIRST CHILD AND SECOND CHILD) = 0.10 So, we get: P(MOTHER) X P(FATHER) = 0.10X 0.10 = 0.01 Since P(MOTHER) X P(FATHER) = 0.01 P(MO

A computer user has downloaded 21 songs using an online file-sharing program and wants to create a CD-R with
11 songs to use in his portable CD player. If the order that the songs are placed on the CD-R is not important to
him, how many different CD-Rs could he make from the 21 songs available to him?

Answers

Answer:

If to create a CD 9 songs are needed and user have 19 songs then he can create 33522128640 such CD's if solving through permutations.

What is permutations?

It is basically an arrangement of objects in a certain order.It is expressed as n and it is equal to n!/(n-r)!.

How to calculate ways?

We have been given that user have 19 songs and 1 CD is made from 9 songs so the number of CD's which can be made is basically the number of ways these 9 songs are arranged from 19 songs in CD's. So, the number of CD's will be 19=19!/(19-9)!

=19!/10!

=19*18*17*16*15*14*13*12*11*10!/10!

=19*18*17*16*15*14*13*12*11

=335322128640 CD's

Hence 335322128640 CD's can be made from 19 songs by the user.

The base lengths of a trapezoidal coffee table are 6 feet and 8 feet. The height is 5 feet. What is the area of the coffee table?

Answers

Answer:

Just multiply 6x8x5

Step-by-step explanation:

A company reported total equity of $185,000 at the beginning of the year. The company reported $250,000 in revenues and $185,000 in expenses for the year. Liabilities at the end of the year totaled $112,000. What are the total assets of the company at the end of the year?

Answers

Based on the revenue, total equity, and the ending liabilities, the total assets at the end of the year is $362,000.

What is the total assets?

First, find the ending equity:

= Opening equity + Revenue - expenses

= 185,000 + 250,000 - 185,000

= $250,000

The total assets by the accounting equation is:

Assets = Liabilities +  Equity

= 112,000 + 250,000

= $362,000

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Give an example of a real-life situation where it might make sense to round a number and a different situation where it probably does not make sense to round a number.

Answers

Answer:

when dealing with money

Complete the process of solving the equation.
Fill in all the missing terms and select all missing descriptions.
4(-3d+14) = -17d + 16
-12d +56 = -17d + 16
+56 = 16
5d = -40
d=
Add 17d to both sides
Divide both sides by 5

Answers

Answer:

d = -8

Step-by-step explanation:

4(-3d+14) = -17d + 16

-12d + 56 = -17d + 16

+17d            +17d

5d + 56 = 16

      -56    -56

5d = -40

÷5      ÷5

d= -8

I hope this helps!

Find the average rate of change of the function f(x)=√x from x₁ = 16 to x₂ = 81.

Answers

Answer:

1/13

Step-by-step explanation:

[tex]f(x_1)=4 \\ \\ f(x_2)=9 \\ \\ \frac{f(x_2)-f(x_1)}{x_2 - x_1}=\frac{1}{13}[/tex]

HELP WITH ALLL PLEASE LABEL THE NUMBERS :))

Answers

Answer:

18. in imge

19. is D

20. 10/3 (just divided by 5)

21. 8/7 bc negtive reciprocal

22. (0,8) y-int

Step-by-step explanation:

PLEASE HURRY AND HELP. PLEASE AND THANK YOU

Answers

Answer:

Step-by-step explanation:

For each one you would take the Q1 and the Q3 value of the box and whisker plot and subtract them

Q3 - Q1 = IQR(interquartile range)

45 - 20 = 25

40 - 10 = 30

10 - 6 = 4

20 - 8 = 12

A real estate company is interested in the ages of home buyers. They examined the ages of thousands of home buyers and found that the mean age was 45 years old, with a standard deviation of 10 years. Suppose that these measures are valid for the population of all home buyers. Complete the following statements about the distribution of all ages of home buyers.

According to Chebyshev's theorem, at least 56% of the home buyer's ages lie between __ years and __ years. (Round your answer to the nearest whole number)

According to Chevyshev's theorem, at least what percent of the home buyers' age lie between 25 years and 65 years.

Answers

Using Chebyshev's Theorem, it is found that:

At least 56% of the home buyer's ages lie between 30 years and 60 years.At least 75% of the home buyers' age lie between 25 years and 65 years.

What does Chebyshev’s Theorem state?

When the distribution is not normal, Chebyshev's Theorem is used. It states that:

At least 75% of the measures are within 2 standard deviations of the mean.At least 89% of the measures are within 3 standard deviations of the mean.An in general terms, the percentage of measures within k standard deviations of the mean is given by [tex]P = 100(1 - \frac{1}{k^{2}})[/tex].

For the first item, we first have to find k when P = 56, hence:

[tex]56 = 100\left(1 - \frac{1}{k^{2}}\right)[/tex]

[tex]1 - \frac{1}{k^{2}} = 0.56[/tex]

[tex]\frac{1}{k^2} = 0.44[/tex]

k² = 1/0.44

k = sqrt(1/0.44)

k = 1.5.

Within 1.5 standard deviations, hence the bounds are:

45 - 1.5 x 10 = 30 years old.45 + 1.5 x 10 = 60 yards old.

Hence:

According to Chebyshev's theorem, at least 56% of the home buyer's ages lie between 30 years and 60 years.

25 and 65 years are both 2 standard deviations from the mean, hence:

At least 75% of the home buyers' age lie between 25 years and 65 years.

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William Smith is choosing artisan bonsai trees. She has 15 different variants of bonsai trees and would like
to use 7 of them. How many different selections of the 7 bonsai trees are possible?

Answers

There are 6,435 different selections of 7 bonsais that William Smith can choose.

How many different selections of the 7 bonsai trees are possible?

If we have a set of N elements, the number of different combinations of K elements (such that K is equal to or smaller than N) of those N elements is given by:

C(N, K) = N!/( (N - K)!*K!)

In this case, we know that she has 15 different variants of bonsai and she wants to use 7, then:

N = 15

K = 7

Replacing these values in the above formula we will get the possible combinations of bonsais.

C(15, 7) = 15!/( (15 - 7)!*7!) = 15!/( 8!*7!) = (15*14*13*12*11*10*9)/(7*6*5*4*3*2*1) =  6,435

There are 6,435 different selections of 7 bonsais.

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please help!

given f(x)=3(4-x), what is the value of f(-2)?​

Answers

Answer:

18

Step-by-step explanation:

f(-2) = 3(4-x)

=3(4+2)

=3*6=

=18

Answer:f(x) = 3(4-x)f(-2) = 3(4-(-2))3(4+2)3(6)18 Ans.

A small college needs two additional faculty members: a chemist and a statistician. There are five applicants for the chemistry position and seven applicants for the statistics position. In how many ways can the college fill these positions?

Answers

By using permutation, the college can fill the position in 7 ways.

What is Permutation?

Permutation shows the no. of ways to arrange the objects or elements.

The Formula for the permutation is P(n, r) = [tex]\frac{n!}{(n-r)!}[/tex]

Given data:

The college needs two additional faculty members a chemist and a statistician. There are five applications for the chemistry position and seven applications for the statistics position.

No. of ways the college can fill the position = no. of ways the college can select Statistics + no. of ways the college can select chemist

By using, the permutation method we can find the no. of ways of selection of both chemist and statistician.

No. of ways the college can fill the position =[tex]5p_{1} +7p_{1}[/tex]

= 5 + 7

= 12 ways

The college can fill the position in 12 ways.

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Help please, I need this done for extra credit

Answers

The value of 'x' in the given equation - 8 = - (x + 4) is 4.

What are equations?In its most basic form, an equation is a mathematical statement that shows that two mathematical expressions are equivalent. 3x + 5 = 14, for example, is an equation in which 3x + 5 and 14 are 2 different expressions separated by a 'equal' sign.

So, value of 'x' in - 8 = - (x + 4):

- 8 = - (x + 4)- 8 = - x - 4- 8 + 4 = -x-4 = -xSo, x = 4

Therefore, the value of 'x' in the given equation - 8 = - (x + 4) is 4.

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The complete question is given below:

Find the value of x in the equation - 8 = - (x + 4).

1. For infant girls, the mean body length at 10 months is 72 centimeters with a standard deviation of 3 centimeters. The 75th percentile for a 10 month-old girl is ____ centimeters? (Round to one decimal place)

Answers

Using the normal distribution, the 75th percentile for a 10 month-old girl is 74 centimeters.

Normal Probability Distribution

The z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The z-score measures how many standard deviations the measure is above or below the mean. Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.

The mean and the standard deviation are given, respectively, by:

[tex]\mu = 72, \sigma = 3[/tex]

The 75th percentile is X when Z = 0.675, hence:

0.675 = (X - 72)/3

X - 72 = 3 x 0.675

X = 74.

The 75th percentile for a 10 month-old girl is 74 centimeters.

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If the odds in favor of an event E are a : b, then the probability of event E is?

Answers

Probability of event E is = a/c

In the given statement is:

If the odds in favor of an event E are a : b,

To find  the probability of event E is

Formula for Probability

The Probability formula is defined as the possibility of an event to happen is equal to the ratio of the number of favourable outcomes and the total number of outcomes.

Probability of event to happen P(E) = Number of favourable outcomes / total number of outcomes

Now, According to the question:

Here, Number of outcomes in favor of the event = a

Number of outcomes in against the event = b

Total Outcomes => a + b = c

Therefore, Probability of event E is = a/c

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What is the value of 6×10 to the 15th power divided by 4×10 to the 12th power

Answers

Step-by-step explanation:

Click photo to look ans

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if the midpoint of line AB is (4,4) and the coordinates of A is (2,1) what is the coordinates if B

Answers

The required coordinate of b is given as (6, 7 ).

To find out the coordinate of b  if M is the midpoint of AB. A(1, -4) and M(-3 ,0).

What is the midpoint?

The midpoint is that point the line whose length from both the ends of the line is equal.

Here,

We have coordinates of two points i.e. A(1, -4) and M(-3, 0).

Definition of midpoint says,

x = [x₁ +  x₂] / 2 ; y = [y₁ + y₂] / 2

x₁ = 2, x = 4 , y₁ = -1, y = 4

now,

4 = [2 + x₂] / 2 ; 4 = [1 + y₂] / 2

x₂ = 8 - 2         ; y₂ = 8 - 1

x₂ = 6               : y₂ = 7

Thus, the coordinate of b is given as (8, 7 ).

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Across
Down
1. animal that eats only plants
2. warm-blooded animals with hair or fur
3. animal that is hunted and eaten
4. animals who hunt other animals
5. back teeth
8. sharp. curved nails on an animal's foot 6. animal that eats meat and plants
9. animal that eats only meat
7. front teeth

Answers

Answer:

1. Herbivores

2. Mammals

3. Prey

4. Predators

5. Molars

6. Omnivores

8. Claws

9. Carnivores


The Smiths went to the Cape for a wedding. They left at 11 a.m. They traveled 180 miles and drove at 60 miles per hour. What time did they reach their destination"
O 1:00 p.m.

Answers

Answer:

I think it should be 1 pm

Step-by-step explanation:

The Smiths left at 11 am and traveled 180 miles. If they drive at 60 miles per hour, that means that they traveled for 2 hours because 180 divided by 60 is two. That means they traveled for 2 hours and arrived at 1 pm.

50 points


A finance magazine did a survey and found that the average American family spends $1,600 on a summer vacation. If the distribution is normal with standard deviation $411, find the amount a family would have spent to be the 80th percentile.

Answers

Answer:

$1,945.91

Step-by-step explanation:

To find the amount a family would have spent to be at the 80th percentile, we can use the normal distribution.

If a continuous random variable X is normally distributed with mean μ and variance σ², it is written as:

[tex]\boxed{X \sim\text{N}(\mu,\sigma^2)}[/tex]

Given that the average spending on a summer vacation is $1,600 and the standard deviation is $411:

Mean μ = $1,600Standard deviation σ = $411

We need to convert the problem to the standard normal distribution by calculating the z-score.

The z-score represents the number of standard deviations a data point is away from the mean. To find the z-score corresponding to the 80th percentile, we need to find the critical value or z-score that corresponds to an area of 0.80 under the standard normal curve.

Using a standard normal distribution table or a calculator, the z-score corresponding to an area of 0.80 is 0.84162084...

Next, we use the formula for the z-score:

[tex]\boxed{z = \dfrac{x - \mu}{\sigma}}[/tex]

where z is the z-score, x is the data point, μ is the mean, and σ is the standard deviation.

Substitute z = 0.84162084..., μ = 1600, σ = 411 into the z-score formula:

[tex]0.84162084... = \dfrac{x - 1600}{411}[/tex]

Solving for x:

[tex]x=1945.90616...[/tex]

Therefore, a family would have spent approximately $1,945.91 to be at the 80th percentile of spending on a summer vacation.

Answer:

$1,945.03

Step-by-step explanation:

To find the amount a family would have spent to be at the 80th percentile, we need to find the z-score that corresponds to the 80th percentile and then use that z-score to calculate the corresponding amount.

First, we find the z-score using the standard normal distribution table or a calculator:

z = InvNorm(0.8) ≈ 0.8416

Next, we use the formula for transforming a z-score to a raw score:

z = (x - μ) / σ

where x is the raw score, μ is the mean, and σ is the standard deviation.

Substituting the given values and solving for x, we get:

0.8416 = (x - 1600) / 411

x - 1600 = 0.8416 * 411

x - 1600 = 345.0256

x = 1945.0256

Therefore, a family would have spent about $1,945.03 to be at the 80th percentile.

*HELP*

Henrich is a single taxpayer. In 2021, his taxable income is $455,000. What is his income tax and net investment income tax liability in each of the following alternative scenarios? Use Tax Rate Schedule, Dividends and Capital Gains Tax Rates for reference. (Do not round intermediate calculations. Leave no answer blank. Enter zero if applicable. Round your final answers to 2 decimal places.)
a. All of his income is salary from his employer.
Income tax _______
Net investment income tax ______
Total tax liability __________

b. His $455,000 of taxable income includes $2,000 of long-term capital gain that is taxed at preferential rates.
Income tax _______
Net investment income tax ______
Total tax liability __________

c. His $455,000 of taxable income includes $49,000 of long-term capital gain that is taxed at preferential rates.
Income tax _______
Net investment income tax ______
Total tax liability __________

d. Henrich has $197,500 of taxable income, which includes $51,000 of long-term capital gain that is taxed at preferential rates. Assume his modified AGI is $210,000.
Income tax _______
Net investment income tax ______
Total tax liability __________

Answers

The Investment Income, if any (g) $380 and The Net Income tax payable is $41,516.75

How to find the Total Income tax?

A. The Taxable Income (a) $425,000  

The Prefrentially taxed income (b) $0  

The Income taxed at ordinary rates ( c) $425,000  

The Tax on c above (d)

$124,469.95 = $120,529.75 + [($425,000 - $415,050) x 39.6%]

The Tax on b above ( e) is $0  

Thus, the Total Income tax (f) is $124,469.95 (d + e)

The Investment Income, if any is $0 No Investment Income

The Net Income tax payable is $124,469.95  

B. The Taxable Income (a) $425,000  

The Prefrentially taxed income (b) $2,000  

The Income taxed at ordinary rates ( c) $423,000  

The Tax on c above (d);

$123,677.95 = $120,529.75 + [($423,000 - $415,050) x 39.6%]

The Tax on b above ( e) ;

$400 = $2,000 x 20%, Since marginal rate is 39.6%

The Total Income tax (f) $124,077.95 (d + e)

The Investment Income, if any (g) $76

($2,000 x 3.8% = $76)

The Net Income tax payable is $124,153.95 (f + g)

C. The Taxable Income (a) $425,000  

The Prefrentially taxed income (b) $55,000  

The Income taxed at ordinary rates ( c) $370,000  

The Tax on c above (d);

$105,629.25 = $46,278.75 + [($370,000 - $190,150) x 33%]

The Tax on b above ( e);

$8,747.50 [($45,050 x 15%) + ($9,950 x 20%)]

The Total Income tax (f) $114,376.75 (d + e)

The Investment Income, if any (g) $2,090

($55,000 x 3.8% = $2,090)

The Net Income tax payable $116,466.75 (f + g)

D. The Taxable Income (a) $195,000  

The Prefrentially taxed income (b) $50,000  

The Income taxed at ordinary rates is ( c) $145,000  

The Tax on c above (d);

$33,636.75 = $18,558.75 + [($145,000 - $91,150) x 28%]

The Tax on b above ( e);

$7,500.00 = $50,000 x 15%

The Total Income tax (f) is $41,136.75 (d + e)

The Investment Income, if any (g) $380

The Net Income tax payable is $41,516.75 (f + g)

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Find the length of the missing side. Leave your answer in the simplest radical form.

Answers

The length of the missing side is √69

How to find the length of the missing side?

The triangle is a right triangle with the following parameters

Hypotenuse = 13

Leg = 10

Represent the missing side with x

By the Pythagoras theorem, we have

x = √Hypotenuse² - Leg²

This gives

x = √13² - 10²

Evaluate

x = √69

Hence, the length of the missing side is √69

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The figure on the left is reflected using line to form the image on the
right. Use the information in the original figure to find the corresponding parts in
the image.

Answers

The required measures of the corresponding parts in the reflection of figure a = 3.2 and b = 46 degrees. Option C is correct.

As given in the question, the figure on the left is reflected using a line to form the image on the right.

Here,
Since the reflection of a figure never changes its dimension so,
in the figure,
b + 143 + 108 + 63 = 360
b = 46
And also in reflection, the measure of the site will not change so the measure of a = 3.2

Thus,  the required measures of the corresponding parts in the reflection of figure a = 3.2 and b = 46 degrees. Option C is correct.

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Answer quick I will mark brainlist

Answers

Answer:

Step-by-step explanation:

The Red circles have a probability of 1/2 of getting chosen, The red and blue circles together have an 100% chance of getting chosen because they are the total of circles. Np

Given the following function, find f(- 5), f(0), and f(5).

f(x) = - 2x + 2

f(- 5) = ?

Answers

Answer:  A statement, principle, or policy that creates the link between two variables is known as a function.

The function is given below.

f(x) = –3x – 5

The value of the function at x = –5, 0, 2 will be

f(–5) = –3(–5) – 5

f(–5) = 15 – 5

f(–5) = 10

f(0) = –3(0) – 5

f(0) = 0 – 5

f(0) = –5

f(2) = –3(2) – 5

f(2) = –6 – 5

f(2) = –11

Given 9.05(−13.2), find the product.

Answers

The value of the product 9.05(-13.2) is -119.46

How to determine the product?

The product expression is given as

9.05(-13.2)

Rewrite the product expression as

9.05(-13.2) = 9.05 * (-13.2)

Using a calculator, we have

9.05(-13.2) = -119.46

Hence, the value of the product 9.05(-13.2) is -119.46

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How do you write 2.74 x 10 to the negative 3rd power in standard notation?

Answers

Answer:

The exponent is -3, making it 10 to the power of negative 3. When an exponent is negative, the solution is a number less than the origin or base number. To find our answer, we move the decimal to the left 3 times:

2.74 ->0.00274

Step-by-step explanation:

Final Answer 0.00274

The rectangular coordinate system shows the graph of the equations in a system of equations. Use the graph to determine the number of solutions for the system. If the system has only one​ solution, give its coordinates.

Answers

Answer:

  A.  The only solution is (-2, 1).

Step-by-step explanation:

Given a graph of two lines, you want the number of solutions to the system of equations the lines represent.

Solution

The graph of an equation represents all of the points that satisfy that equation. When a system of equations has more than one equation, the set of points that satisfies all of the equations is the set of points where the graphs intersect (overlap) each other.

Here, the two straight lines intersect at exactly one point: (-2, 1). That one point represents the only solution to the system of equations.

The only solution is (-2, 1).

blank are numbers or variables that are multiplied together.

powers
bases
factors
radicals

Answers

Answer:

bases....................

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Which statement would most likely be made by southerners in the debateover U.S. expansion in the 1800s?A. We need more land to sustain and grow our economy.B. We do not want Texas and other territories to join as slave states.C. We believe that the institution of slavery is morally wrong.D. We are afraid expansion could lead to war with foreign powers. How many times should you read the label information before you open the container? When you are putting together the message of your speech, using language and symbols, you are primarily engaged in the process of:________ Which photographer created beautifully exposed landscape images with striking skies by taking correctly exposed images of the sky with clouds in them and then printing them into the sky portions of his landscape photographs? Question: How did the Transcontinental Railroad change our country?-Use at least three sentences for your answer. The middle class may cope with stressors by shopping or traveling. but according to your reading, the poor are more likely to cope with stress by eating and: _________ What is the difference between ethnocentrism and patriotism? I need help in this Aptitudes can be discouraged with a. a system of rewards and punishments. c. praise for the ability. b. negative reinforcement. d. recognition by peers. please select the best answer from the choices provided a b c d Given that line CD is a perpendicular bisector of triangle ABC, if side AB has a length of 11 and side AC has a length of 14 what is the length of side CD? Write your answer to thenearest hundredth you cant mix conventional and synthetic oil fact or myth A CT scan uses a rotating X-ray source mounted on a circular ring to capture three dimensional images of a body (see Figure43.2 on page 521 of the textbook). One rotation of the X-ray source produces one sliced image of the body.A specific CT scan machine has a circular ring with radius 44 cm (diameter 88 cm), and the mass of the X-ray source mountedon the circular ring is 26 kg. The ring rotates at a constant rate of 21 rad/s. Answer the following questions.(a) What is the tangential speed of the X-ray source in m/s?(b) How many degrees does the X-ray source turn in 100 milliseconds? (c) What is the magnitude of the centripetal force on the X-ray source?(d) How many seconds does it take to take one image?(e) What is the frequency of the rotation of the X-ray source in the unit of Hz? Pretend you have a friend who has just become pregnant. She has second thoughts and asks you: "What are the advantages of having a baby?" She then tells you that she needs some advice about being pregnant. She asks you: "What are the most important facts for me to know about pregnancy, and what can I do to ensure my pregnancy is healthy?" What is the probability that a randomly selected student from this group is happy with the choice of the major or majors in psychology? An unknown gas has a density of 0.862 g/l at 298 k and 2.14 atm. what is the molar mass of the gas? Activities such as developing social support systems and establishing goals and rewards help people to move through stages in the stages of change model. true false 70 POINTS! 1st photo. What is the equation of the line of symmetry (or the point of symmetry if there is one) for the image? 2nd photo. List the equation(s) of the line of symmetry or the point(s) of symmetry for the image. Be sure to include all equations and/or points of symmetry. 3rd photo. Classify this graph by the following functions as even, odd or neither. Be sure to include your work to justify your classification. SHOW YOUR WORK. Which statements are real-world applications of life science? Check all that apply. A box of packaged snacks contains 6 individual bags and costs $5.40. Each individual bag contains 18 crackers. What is the cost per cracker? We group artworks with similar characteristics into periods, civilizations, or styles. Which is the best definition of civilization?.