Given the diagram below,
<2 and <6 are classified as
which type of angles?

Given The Diagram Below,&lt;2 And &lt;6 Are Classified Aswhich Type Of Angles?

Answers

Answer 1

Answer:

corresponding

Step-by-step explanation:


Related Questions

what is one plus 59 plus 666662

Answers

Answer:

66,726

Step-by-step explanation:

Answer:

666,722

Step-by-step explanation:

1 + 59 + 666,662

= 60 + 666,662

= 666,722

i hope this helped

Amy buys 12 envelopes for 26p each and pays with a £5 note.

How much change does she get?

Give your answer in pounds, £

Answers

Amy buys 12 envelopes for 26p each, so the total cost is 12 x 26 = 312p. She pays with a £5 note, which is equal to 5 x 100 = 500p. Therefore, she gets 500 - 312 = 188p in change. This is equal to £1.88.

What is ratio and proportion?

Mathematics deals with the relationship between two numbers or quantities using the notions of ratio and proportion. Two numbers are compared in a ratio, which is often represented as a fraction. For example, the ratio of pounds to oranges in a basket could be 3:2, implying that there are three apples for every two oranges. Contrarily, proportion is the connection between two ratios. It is an equation, in other words, when two ratios are equal. The ratio of apples to oranges in a basket may be 3:2, whereas the ratio of apples to all the other fruits in the basket might be 9:11. In this case, the two ratios are proportionate since 3/2 = 9/11.

How to solve?

Amy buys 12 envelopes for 26p each, so the total cost is 12 x 26 = 312p. She pays with a £5 note, which is equal to 5 x 100 = 500p. Therefore, she gets 500 - 312 = 188p in change. This is equal to £1.88.

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Josh is 3 years older than 4 times Kim's age. The sum of their ages is less than 43. Select the correct inequality for the situation, then determine the oldest age Kim could be. Question 6 options: (3 + 4k) + k > 43 3 + 4k > 43 3 + 4k < 43 (3 + 4k) + k < 43 A. The oldest Kim could be is 4 years old. B. The oldest Kim could be is 5 years old. C. The oldest Kim could be is 6 years old. D. The oldest Kim could be is 7 years old.

Answers

The required solution of the given numerals is,
1. 3 + 4k + k < 43, Option D is correct.
2. The oldest Kim could be 7 years old. Option D is correct.

Given that,
Josh is 3 years older than 4 times Kim's age. The sum of their ages is less than 43. Select the correct inequality for the situation, then determine the oldest age Kim could be.

What is simplification?

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
According to the question,
J = 4k + 3
And
J + K < 43
4K + 3 + K < 43
5k < 40k
k < 8
K could be K = 7

Thus, the required solution of the given numerals is,
1. 3 + 4k + k < 43, Option D is correct.
2. The oldest Kim could be 7 years old. Option D is correct.

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what is the value of the underlined digit
9,603

Answers

The value of underlined digit is Zero ten million

What is meant by place value ?

The foundation of our entire number system is place value. In this system, the value of a digit in a number is determined by where it appears in the number. The digits in the numbers 42,316 and 61,432 are different from one another. Each place represents ten times the value of the place to its right in the standard system, also known as the base ten number system (or decimal system).

Given ,

9 ,603 ,450, 503

We know that

1   Thousand

2  Ten thousand

3    Hundred thousand

4   One   Million

5     Ten million

So the value of the underlined digit is 5 ten million

The complete question is : what is the value of the underlined digit 9 ,603 ,450, 503

A) zero ten thousands

B) zero hundred thousands

C) zero one millions

D) zero ten millions

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Here are summary statistics for the weights of Pepsi in randomly selected cans: n = 36, x-bar = 0.82407, s = 0.00567. Use a confidence level of 95% to complete parts (a) through (d) below.

A) Identify the critical value t a/2 used for finding the margin of error.
T a/2 =

B) Find the margin of error

Answers

The margin of error, a statistic, is a measure of how much random sampling error there is in survey data.

The margin of error exists 0.07728.

What is meant by margin of error?

A statistic known as the margin of error describes how much random sampling error there is in survey data. Less faith should be placed in a poll's results representing the outcome of a population census as the margin of error increases.

A survey's margin of error, also known as the confidence interval, is a measurement of error in the data, particularly when the sampling method of a survey is used. This indicator lets researchers know to what extent survey findings should be taken as representative of the entire community under study.

Given : n = 36

x-bar = 0.82407

s = 0.00567

Confidence level 95%

The 2 - critical Valve = 2.03

A) Let the equation be

[tex]$S F=\sqrt{\frac{\bar{x}(1-\bar{n})}{n}}[/tex]

substitute the values in the above equation, we get

[tex]$\Rightarrow \sqrt{\frac{(0.82412)(1-0.82412)}{100}}$$[/tex]

S E  = 0.03807

B) Margin of error = (0.03807)(2 × [tex]I_2[/tex])

Margin of error = 0.07728

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An airliner carries 350 passengers and has doors with a height of 72 in. Heights of men are normally distributed with a mean of 69.0 in and a standard deviation of 2.8 in. Complete parts (a) through (d).

A. If a male passenger is randomly selected, find the probability that he can fit through the doorway without bending:

B. If half the passengers are men, find the probability that the mean height of the 175 men is less than 72 in

C. When considering the comfort and safety of passengers, which result is more relevant: the probability from part (a) or the probability from part (b)? Why?

D. When considering the comfort and safety of passengers, why are women ignored in this case?

Answers

Answer: A. To find the probability that a randomly selected male passenger can fit through the doorway without bending, we need to find the probability that his height is less than or equal to 72 inches. Since the heights of men are normally distributed with a mean of 69 inches and a standard deviation of 2.8 inches, we can use the standard normal distribution to find this probability.

The standard normal distribution has a mean of 0 and a standard deviation of 1. We can convert the height of a male passenger from the given distribution to the standard normal distribution by using the formula:

$z = \frac{x - \mu}{\sigma}$

where $x$ is the height of the male passenger, $\mu$ is the mean height of 69 inches, and $\sigma$ is the standard deviation of 2.8 inches. Substituting these values into the formula gives us:

$z = \frac{72 - 69}{2.8} = \frac{3}{2.8} = 1.0714$

Since the standard normal distribution is symmetric, the probability that a male passenger's height is less than or equal to 72 inches is the same as the probability that his height is greater than or equal to 72 inches. We can find this probability by looking up the value of $z = 1.0714$ in a standard normal table, which gives us a probability of 0.8413. Therefore, the probability that a male passenger can fit through the doorway without bending is 0.8413.

B. To find the probability that the mean height of the 175 men is less than 72 inches, we need to find the probability that the sample mean is less than 72 inches. Since the heights of men are normally distributed with a mean of 69 inches and a standard deviation of 2.8 inches, the sample mean will also be normally distributed with a mean of 69 inches and a standard deviation of $\frac{2.8}{\sqrt{175}} = 0.32$. We can use the standard normal distribution to find the probability that the sample mean is less than 72 inches.

The standard normal distribution has a mean of 0 and a standard deviation of 1. We can convert the sample mean from the given distribution to the standard normal distribution by using the formula:

$z = \frac{x - \mu}{\sigma}$

where $x$ is the sample mean, $\mu$ is the mean of 69 inches, and $\sigma$ is the standard deviation of 0.32. Substituting these values into the formula gives us:

$z = \frac{72 - 69}{0.32} = \frac{3}{0.32} = 9.375$

Since the standard normal distribution is symmetric, the probability that the sample mean is less than 72 inches is the same as the probability that the sample mean is greater than 72 inches. We can find this probability by looking up the value of $z = 9.375$ in a standard normal table, which gives us a probability of 0.0000. Therefore, the probability that the mean height of the 175 men is less than 72 inches is 0.0000.

C. When considering the comfort and safety of passengers, the result from part (a) is more relevant than the result from part (b). This is because part (a) tells us the probability that a randomly selected male passenger can fit through the doorway without bending, which is directly relevant to the comfort and safety of the passengers. In contrast, part (b) tells us the probability that the mean height of the 175 men is less than 72 inches, which is not directly relevant to the comfort

D. Women are ignored in this case because the problem only asks about the heights of men. The problem states that the heights of men are normally distributed with a mean of 69 inches and a standard deviation of 2.8 inches, and does not provide any information about the heights of women. Therefore, we cannot use the given information to find the probability that a female passenger can fit through the doorway without bending.

I WILL GIVE BRAINLIEST TO THE CORRECT PERSON AFTER 2 PEOPLE ANSWERRRR

Answers

Answer:

x=42

Step-by-step explanation:

Figure A has been scaled by 2/7, so we know that[tex]x * 2/7 = 12.[/tex] Multiplying both sides by 7 gives us [tex]2x = 84[/tex]. Dividing both sides by 2 gives us that x = 42. This is our answer.

Answer: 42

Step-by-step explanation:

2/7x=12

x = 12 * 7/2

x=84/2

x=42

Graph the line with y-intercept 3 and slope -2/3

Answers

Answer: I think its 3.5

Step-by-step explanation:

Which system of equations can be represented by this matrix?

Answers

Answer:

answer is c

Step-by-step explanation:

I learned matrix

Sharon started with $42 in her bank account and
added $16 per week. Neil started out $70 in debt and deposited $30 per week. Determine how many weeks it will take them to have saved the same amount of money.

Answers

Answer:

8 weeks

Step-by-step explanation:

The two equations I got from this are y=16x+42 and y=-70+30x

I graphed both equations online to see what the intersection would be the intersection between both equations is (8,170). I think that this means that in 8 weeks they would both be at 170 dollars, so I think that it will take them 8 weeks to have the same amount of money saved

(if wrong, im sorry..)

The number of weeks it will take them to have saved the same amount of money will be 8.

What is a linear equation?

A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.

The linear equation is given as,

y = mx + c

Where m is the slope of the line and c is the y-intercept of the line.

Sharon began with $42 in her financial balance and added $16 each week. Neil began $70 underwater and kept $30 each week.

Let 'x' be the number of weeks and 'y' be the total amount. Then the equations are given as,

y = 16x + 42              ...1

y = 30x - 70             ...2

From equations 1 and 2, then we have

30x - 70 = 16x + 42

14x = 112

x = 8

The number of weeks it will take them to have saved a similar measure of cash will be 8.

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In January the depth of a lake wa 943 feet in Augut the depth of the lake wa 754. 4 what i the percentage decreae of the depth of the lake from January to Augut

Answers

19.89% is the percentage decrease of the depth of the lake from January to August.

What is percentage?

A quantity or ratio can be expressed as a percentage of 100 by using the word "percentage." Comparing two or more numbers and illustrating how significantly one number differs from the other in proportion to the whole is a popular usage for this technique. If a baseball originally costs $12 and is discounted by 20%, for instance, its new price would be $12 x 20/100 = $2.40 less than the original price. In other words, after the reduction, the ball will cost $12 - $2.40 = $9.60. A percentage may often be determined by dividing a quantity by its entirety and multiplying the result by 100. For instance, if a baseball bat costs $100 and is reduced by 30%, its new cost would be $100 x 30/100, which equates to $30 less.

How to solve?

The depth of the lake decreased by 943 - 754.4 = 188.6 feet from January to August.

The percentage decrease is (188.6 / 943) x 100 = 19.89%

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please help me: find the measure of each angle indicated​

Answers

Answer:

137

Step-by-step explanation:

triangles always equal 180 degrees for internal angles

20+23-180


a = ?
b= ?
C = ?
A = ?
B = ?

Answers

Answer:

a = 13 ftb = 16 ftc = 21 ftA = 39°B = 51°

Step-by-step explanation:

You want the complete solution (side lengths and angles) for a right triangle with leg lengths a=13 ft and b=16 ft.

Solution

Since the two leg lengths are given, it is convenient to use the inverse tangent relation to find one of the acute angles.

  Tan = Opposite/Adjacent

  tan(A) = a/b

  A = arctan(13/16) ≈ 39°

  B = 90° -A = 51°

The hypotenuse can be found using the Pythagorean theorem, or it can be found using trigonometry. We have just computed angle A, so we can use that value to find the hypotenuse of the triangle.

  Cos = Adjacent/Hypotenuse

  Hypotenuse = Adjacent/Cos

  c = b/cos(A) = 16/cos(39.093859°) ≈ 21 . . . . feet

Then the solution is ...

a = 13 ftb = 16 ftc = 21 ftA = 39°B = 51°

__

Additional comment

Note the calculator is set to DEG mode so the angles are reported in degrees.

The hypotenuse is found using the original full-precision value of the angle, not the rounded value required to answer the problem statement.

List 5 rational number between -1 and 0

Answers

Answer: [tex]-\frac{1}{2}, -\frac{1}{4} , -\frac{1}{6}, -\frac{1}{7} , -\frac{2}{3}[/tex]

Step-by-step explanation:

A simple way to find a rational number is to make sure the fraction is between the given numbers. Below are five examples, but there are many more.

[tex]-\frac{1}{2}, -\frac{1}{4} , -\frac{1}{6}, -\frac{1}{7} , -\frac{2}{3}[/tex]

Mandy is setting up for a reception. For the number of seats needed, she knows she can use either 8 seats at each table with none left over or 10 seats at each table with none left over. Which is the least number of seats she is setting up? A. 80 B. 20 C. 120 D. 40

Answers

The least number of seats she is setting up 40 seats are needed.

What is least number?

The least number is zero (0). Zero (0) is the smallest natural number and is the additive identity of the set of whole numbers. It is the only number that is neither positive nor negative and is, therefore, regarded as neither odd nor even. Zero (0) is essential in mathematics and is used to represent the absence of a quantity. It is also used to represent the additive identity of real numbers and complex numbers.

Given: Mandy can place 8 seats at each table or 10 seats at each table with no left over.

We have to find the least number of seats needed.

Find the prime factors of 8:

⇒ 8 = 2 x 2 x 2 = 8 = 2³

Find the prime factors of 10:

⇒ 10 = 2 x 5

Find the LCM of 8 and 10:

⇒ 8 = 2³

10 = 2 x 5

LCM = 2³ x 5

LCM = 40

Hence, a minimum of 40 seats are needed.

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The sides of a triangle are 10 cm, 8 cm, and 10 cm. Classify the triangle.

Answers

If two sides of the triangle is congruent then the triangle is known as isosceles triangle.

What is the triangle?

The polygonal shape of a triangle has a number of sides and three independent variables. Angles in the triangle add up to 180 °.

The two triangular legs and their opposing angles are congruent in an isosceles triangle.

In the given triangle, the sides of a triangle are 10 cm, 8 cm, and 10 cm.

In the triangle, the two sides of the triangle are congruent.

If two sides of the triangle is congruent then the triangle is known as isosceles triangle.

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Expand (1 + √2)(3-√2) ​

Answers

Answer: 1⋅3+1(−√2)+√2⋅3+√2(−√2)

Step-by-step explanation:

Reduce 28/56 to the standard form

Answers

Dividing by 2 we get
14/28
7/14
1/2
Hence 1/2 is the standard form.

Select all of the equations below that are equivalent to:
17 - k = 52
Use properties of equality.

Answers

Answer:

there are no equations below...

Step-by-step explanation:

The registration fee for a used car is 0.6​% of the sale price of ​$6,300. How much is the​ fee?

Answers

Answer: 37.80

Step-by-step explanation:

Simplify the expression.

w+w+5w =

Answers

The answer is 7w

Combine like terms
the answer would be 7w :)

I roll a pair of fair dice and let X= the sum of the spots on the two sides facing up. The probability that X is 2, 11, or 12 is...

Answers

Answer:

12? lol

Step-by-step explanation:

<3

(1.) Convert 25 in base 10 into base 2
(2.)Convert 101011 in base 2 into base 5

Answers

answer here!

sry it is a bit messy

Answer:

1) 11001 base 2

2)133 base 5

1) To convert base 10 into base 2

25/2= 12remainder 1

from this point on, the remainders will be replaced by r

12/2= 6r0

6/2=3r0

3/2=1r1

1/2=0r1

The remainders are then written down from the bottom up

= 11001

2) To convert 101011 base 2 into base 5

101011= 1×2⁵ + 0×2⁴+ 1×2³+ 0×2² + 1×2¹ + 1×2⁰

=1×32 + 0×16 + 1×8+ 0×4+1×2+1×1

=32+0+8+0+2+1

=43 base 10

Then convert 43 base 10 to base 5

43/5=8r3

8/5=1r3

1/5=0r1

=133 base 5

Brainliest + ten points to first correct answer! word problem

The project manager for the state department of highways has two beds for the resurfacing of a 10 mile stretch of highway. The first company gives a bit of $120,000 per mile and will guarantee the web for eight years. The second company bids the word for $150,000 per mile using a new asphalt material made from used tires. The second company will guarantee the work for 12 years. Determine the price per mile per year for each company and decide which company should get the contract based on the least expensive price per mile per year.The project manager for the state department of highways has two beds for the resurfacing of a 10 mile stretch of highway. The first company gives a bit of $120,000 per mile and will guarantee the web for eight years. The second company bids the word for $150,000 per mile using a new asphalt material made from used tires. The second company will guarantee the work for 12 years. Determine the price per mile per year for each company and decide which company should get the contract based on the least expensive price per mile per year

Answers

Answer:

The second company should get the contract.

Question

The project manager for the state department of highways has two beds for the resurfacing of a 10 mile stretch of highway.

Reason

Based on the least expensive price per mile per year, the second company should get the contract. This is because the price per mile per year for the second company is lower than the price per mile per year for the first company.

The first company gives a bit of $120,000 per mile and will guarantee the web for eight years. The second company bids the word for $150,000 per mile using a new asphalt material made from used tires.

The second company will guarantee the work for 12 years. Determine the price per mile per year for each company and decide which company should get the contract based on the least expensive price per mile per year.

The project manager for the state department of highways has two beds for the resurfacing of a 10 mile stretch of highway. The first company gives a bit of $120,000 per mile and will guarantee the web for eight years.

The second company bids the word for $150,000 per mile using a new asphalt material made from used tires. The second company will guarantee the work for 12 years.

Determine the price per mile per year for each company and decide which company should get the contract based on the least expensive price per mile per year

The first company will charge $120,000 per mile for the resurfacing project, and will guarantee the work for 8 years. The second company will charge $150,000 per mile for the project, and will guarantee the work for 12 years.

To determine the price per mile per year for each company, we need to divide the total price by the number of years. For the first company, this would be $120,000 / 8 = $15,000 per mile per year. For the second company, it would be $150,000 / 12 = $12,500 per mile per year.

Based on these calculations, the second company offers the least expensive price per mile per year, at $12,500 per mile per year. Therefore, the project manager should choose the second company to receive the contract.

The sum of three consecutive integers is 42. Which of the equations could represent this relationship? Select the two correct answers. x + (x + 1) + (x + 2) = 42 x + (x + 2) + (x + 4) = 42 (x minus 1) + x + (x + 1) = 42 (x minus 2) + x + (x + 2) = 42 x + 2 x + 3 x = 42

Answers

The two equations that can represent the relationship is

i. x +( x+1) + (x+2) = 42 and

Ii. (x-1) +x + (x+1) = 42 ( option A and C)

What are consecutive integers?

Consecutive integers are those numbers that follow each other. They follow in a sequence or in order. For example, a set of natural numbers are consecutive integers.

For example, 4,5,6,7 are consecutive integers. This means that the difference between two consecutive numbers is 1.

If the first number is x, then the second number is (x+1 ) and the third number is (x+3)

The sum of the three number is x +( x+1) + (x+2) = 42

if the second number is x, then the first number is (x-1) and the third number is x+1

Therefore the sum of the three numbers can also be written as (x-1) +x + (x+1) = 42

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2

Next

Inequalities on the Number Line: Mastery Test

2.

Select the correct rational numbers.

Identify the numbers that are located to the right of - 4 on a horizontal number line.

2

52

WIN

co

WIN

WIN

-5

1

12 / 를

-4

Reset

Next

Answers

The numbers that are located to the right of - 4 on a horizontal number line is

A.) - 1/2

B.) 5 1/2

D.) - 3 2/3

E.) - 1 2/3

G.) 2 /3

H.) - 4

What is number line?

A number line is a diagram of a graded straight line used to represent real numbers in introductory mathematics. It is assumed that every point on a number line corresponds to a real number, and that every real number corresponds to a point.

Given the numbers :

A. -1/2 ; B. 5 1/2 ; C. -4 2/3 ; D. -3 2/3 ; E. -1 2/3 ; F. -5 1/2 ; G. 2/3 ; H. -4

Select which are located to the right of - 4 1/3 on an horizontal number line;

Kindly note that ; numbers located to the right of - 4 1/3 will be greater.

Hence, all numbers in the option greater Than - 4 1/3 are correct.

All positive numbers are located to the right ;

All negative greater than - 4 1/3

A.) - 1/2

B.) 5 1/2

D.) - 3 2/3

E.) - 1 2/3

G.) 2 /3

H.) - 4

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Cuál e el capital que e coloca al 25% durante 3 año, para obtener un interé de $. 1620

Answers

On solving the provided question, the capital that is placed at 25% for 3 years, to obtain an interest of $ 1620 will be $3,164.06

Explain what compound interest is.

interest you receive is equal to as - compound interest. Using simple math, you can see how this works: if you have $100 and it earns 5% interest annually, you will have = $105 at the end of the 1st year. You'll have = $110.25 at the conclusion of the 2ndyear.

To calculate, we will use the following

[tex]First, convert R as a percent to r as a decimal[/tex]

r = R/100

r = 25/100

r = 0.25 rate per year,

Then solve the equation for A

[tex]A = P(1 + r/n)^{(nt)}[/tex]

[tex]A = 1,620.00(1 + 0.25/1)^{(1)(3)}[/tex]

A = 1,620.00(1 + 0.25)(3)

A = $3,164.06

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50 POINTS IF ANSWERED PLS!!!!!
triangle ABC is an isosceles triangle. find the missing angles and side measures.

Answers

Angle A = 40 degrees

Angle C = 70 degrees

Side AC = 12 cm

which of the following is the graph of
[tex]y = - 4 \sqrt{x} [/tex]


Answers

I am assuming the one with the check mark that says it’s correct
It’s the one with a check mark on it

On a team, 7 girls and 5 boys scored a total of 86 points. The difference between the number of points scored by the 7 girls and the number of points scored by the 5 boys is 26. Each girl scored the same number of points and each boy scored the same number of points. Find the number of points scored by each girl and each boy.

Answers

Answer:

Each Girl scored 3.71 points

Each boy scored 12 points

Other Questions
Sue is headed off to college, will be living in the dorm, and her parents have homeowners insurance. She figures, "i wont need renters insurance. My parents policy will cover me. " whats the danger in this thinking?. The term "cell" emerged in biology because, under early microscopes, cells looked like rooms monks slept in at a monastery.OO baFalseTrue What might McGrady's purpose have been for testifying before Congress? Khadia raie bee and ell honey. He give a dicount to hi neighbor. The table how price of ,n of buying honey that ha a regular price of r dollar how should a security analyst review system generated events for signs of intrusion or other problems on the network? a client's new onset of dysphagia has required insertion of an ng tube for feeding. what intervention should the nurse include in the client's plan of care? Which answer choice correctly complete the sentence?Asking the Did you Check questions is an important step in the Problem Solving Plan because you can A. determine if your answers arereasonable. B. organize your thoughts. C. understand the problem better. D. define your strategy easier. what type of subquery is an embedded select expression that returns only one coloumn and no more than one row which of the following is not one of the four key strategies for achieving a win-win solution through negotiation? a. insist that results be based on objective standards. b. focus on underlying interests, not current demands. c. separate the people from the problem. d. keep the demands at the center. e. listen and ask questions If you are given two moles of a substance, which of the following would be correct?You have the same number of particles as in 12 grams of carbon-12.You have one-third the number of particles that are in 12 grams of carbon-12.You have two times the number of particles that are in 12 grams of carbon-12.You have one half the number of particles that are in 12 grams of carbong-12. Which situation can be represented by the equation 56 = 2x -10? A. Sammy's age is 10 more than twice Ted's age. Sammy is 56 years old. How old is Ted? B. Sammy's age 10 decreased by twice Ted's age. Ted is 56 years old. How old is Sammy? C. Ted's age is twice Sammy's age decreased by 10 years. Ted is 56 years old. How old is Sammy? D. Ted's age is 10 less than twice Sammy's age. Sammy is 56 years old. How old is Ted? In midterm electionsa. voters choose all members of the U.S. House of Representativesb. national elections are held in which candidates for president are not on the ballotc. voters choose one-third of the members of the U.S. Senated. options A and B are truee. all of the above are true With reference to the following:Eric Jaffes seminal paper on culture of human umbilical vein endothelial cells (Jaffe et al., 1973) recommends using supplemented M199 culture medium. The basic medium contains common electrolytes at the following millimolar concentrations:Na+ (164), K+ (5.8), Ca++ (1.26), Mg++ (0.81), Cl- (145), HPO42- (0.78), HCO3- (26.1), SO42- (1.26). It also contains glucose (5.6 mM), amino acids and phenol red (a pH indicator).The recommended supplements (to be added immediately before use) are foetal calf serum (20% v/v) to provide growth factors, penicillin (200 units ml-1) and streptomycin (200 gml-1) to prevent bacterial contamination, and L-glutamine (2 mM), a labile amino acid that does not survive storage.The RMM of L-glutamine is 146 gmol-1. How much L-glutamine will you need to weigh out to add to 500 ml of your complete medium?Group of answer choices291 mg73 mg146 mg2.91 g146 g clostridium botulinum, the causative agent of botulism, has more than one portal of entry: the gastrointestinal tract and the skin. T/F a crate of grapes lifted 10 meters gains 200 j of potential energy. if the same crate is instead lifted 20 meters, its gain in potential energy is URGENT ESSAY "Importance of sleep for healthy life" long-term potentiation is both input specific and associative. in this manner, one can think of the weak input and the strong input as similar to the cs and us in classical conditioning. true or false A 70.0 kg astronaut is training for accelerations that he will experience upon reentry. He is placed in a centrifuge (r = 10.0 m) and spun at a constant angular velocity of 16.3 rpm. Answer the following:What is the angular velocity of the centrifuge in rad/s ?What is the linear velocity of the astronaut at the outer edge of the centrifuge?What is the centripetal acceleration of the astronaut at the end of the centrifuge?How many gs does the astronaut experience?What is the centripetal force and net torque experienced by the astronaut? Give magnitudes and directions. alcohol consumption is least likely to make people more group of answer choices fearful. self-disclosing. self-conscious. sexually daring. aggressive. one of the inspirations behind the french revolution (8 in pic)