Composite Figures Question 4.
A. 42 cm
B. 35 cm
C. 26 cm
D. 14 cm

Composite Figures Question 4.A. 42 CmB. 35 CmC. 26 CmD. 14 Cm

Answers

Answer 1

Answer:

42 cm A

Step-by-step explanation:


Related Questions

You are planning to sell ice cream cones for a school sporting event . You plan to sell 300 ice cream cones. Before selling the ice cream, you give a survey to determine what flavors to sell. The results are below.
• 10% - Mint
• 25% - Strawberry
• 15% - Chocolate chip
• 50% - Vanilla

Based on the survey results, how much of each flavor will you sell at the sporting event

Answers

Answer: Based on the survey results, we can calculate the number of ice cream cones to sell for each flavor by multiplying the percentage of the flavor by the total number of ice cream cones to be sold.

Mint: 10% of 300 ice cream cones = 0.1 * 300 = 30 ice cream cones

Strawberry: 25% of 300 ice cream cones = 0.25 * 300 = 75 ice cream cones

Chocolate chip: 15% of 300 ice cream cones = 0.15 * 300 = 45 ice cream cones

Vanilla: 50% of 300 ice cream cones = 0.5 * 300 = 150 ice cream cones

So, based on the survey results, you should sell 30 ice cream cones of Mint flavor, 75 ice cream cones of Strawberry flavor, 45 ice cream cones of Chocolate chip flavor, and 150 ice cream cones of Vanilla flavor.

It's worth mentioning that the sum of the percentages provided, 10+25+15+50 = 100%. Which means that it is a proper survey and the total number of ice cream cones you expect to sell is equal to the survey results.

Step-by-step explanation:

Based on the survey results flavors sold at the sporting event are, 30 mint ice creams, 75 Strawberry icecreams, 45 Chocolate chip icecreams, and 150 Vanilla icecreams.

What is the percentage?

A percentage is a value per hundredth. Percentages can be converted into decimals and fractions by dividing the percentage value by a hundred.

The number of different types of ice creams can be obtained as follows,

10% - Mint.

= (10/100)×300.

= 30.

25% - Strawberry.

= (25/100)×300.

= 75.

15% - Chocolate chip.

= (15/100)×300.

= 45.

50% - Vanilla.

= (50/100)×300.

= 150.

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What is 0.632 as a fraction? Move numbers to the blanks to complete the fraction.
8
79
125
313
457
495
632
999

Answers

Answer:

Step-by-step explanation:

Converting 0.632 to a fraction, Step-by-Step

Step 1:

The first step to converting 0.632 to a fraction is to re-write 0.632 in the form p/q where p and q are both positive integers. To start with, 0.632 can be written as simply 0.632/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 0.632, which in this case is 3. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 0.632/1 each by 10 to the power of that many digits. For instance, for 0.45, there are 2 fractional digits so we would multiply by 100; or for 0.324, since there are 3 fractional digits, we would multiply by 1000. So, in this case, we will multiply the numerator and denominator of 0.632/1 each by 1000:

\frac{0.632 × 1000}{1 × 1000} = \frac{632}{1000}

1×1000

0.632×1000

=

1000

632

Step 3:

Now the last step is to simplify the fraction (if possible) by finding similar factors and cancelling them out, which leads to the following answer:

\frac{632}{1000} = \frac{79}{125}

1000

632

=

125

79

Find x. Please help I’m stuck

Answers

Answer:

30 i think

Step-by-step explanation:

(PLS HELP QUICKLY!) (ONLY HAVE 10 MINUTES!!! PLS HELP)
A fundraiser is being held to raise money for a new school playground. Of every $20 raised, $16 will be spent on playground equipment. If the goal of the fundraiser is $320.00 for playground equipment, how much money will it need to raise?

Answers

Answer:

$400

Step-by-step explanation:

If $16 will be spent, then you should do 320/16=20 to find out how many times people are donating. Since that answer what 20, they need people to give 20*20=400 oo be able to raise enough money fOr playground equipment

Thirty percent of the balloons used to decorate a party are red and the rest are yellow. If one-quarter of the yellow balloons have strings and there are a total of 40 balloons, how many of the yellow balloons do not have strings

Answers

62.5 of the yellow balloons lack strings. The ratio of positive outcomes to all outcomes in that sample space is generally referred to as the probability.

What is the probability formula?

The ratio of positive outcomes to all outcomes in that sample space is generally referred to as the likelihood. The formula is: Probability of an Event P(E) = (Number of Favorable Outcomes) (Sample space).

The ratio of positive outcomes to all outcomes in that sample space is generally referred to as the likelihood.

A sample is created in this way, and using the data collected, the calculation can be done. The formula for calculating probabilities is probability = Favorable instances / Possible cases x 100, given as a percent.

25/40 * 100 = 0.625*100 = 62.5.

62.5 of the yellow balloons lack strings.

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A rug cleaning service uses telemarketing to get business. For every 175 calls made, on average, there will be about 28 new customers. What is the experimental probability of getting a new customer over the phone?

Answers

Answer:

The experimental probability is 4/25

Step-by-step explanation:

Here, we want to get an experimental probability

To get this, we will need to divide the number of new customers by the total number of calls made

Mathematically, we have this as 28/175

= 4/25

Help no links
Mr. McGill is solving the following problem: 42x=163. Mr. McGill set 2x=3 and got x=32 as his answer. Tell the mistake Mr. McGill made and tell the correct answer.

Answers

Answer:

Hmmmm. Mr. McGill seems a little lost.

At first, I thought he might have divided both sides by 21 (to get 2x on the left), but look what happens on the right side of the equation!

[tex]42x=163\\\\2x=54\,\, 1/3[/tex]  (not 3, for sure)

I think Mr. McGill needs to take the class you're in!

Find the volume of the cylinder. Round your answer to the nearest tenth if necessary. Use 3. 14 for pi.

A can of juice has a radius of 5 inches and a height of 6 inches. What is the volume of the can?

Answers

The volume of the can based on mentioned radius and height of can is 471 inches³.

Volume of cylinder is defined the capacity or amount of fluid that can be held in the object. The mentioned object is can which is cylindrical in shape.

Use the below mentioned formula to calculate the volume -

V = πr²h, where V is volume, r is radius and h is height.

Keep the values in formula to find the value of volume of cylinder

V = 3.14×5²×6

Next step is to perform multiplication on Right Hand Side of the equation

V = 471 inches³

The obtained volume is already rounded off. Thus, the volume of the can is 471 inches³.

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Students who attend Anytown College pay either in-state or out-of-state tuition, depending on where they reside. The mean and standard deviation of the sum, S, of tuition for a randomly selected pair of in-state and out-of-state students are μS = $6,348. 75 and σS = $1,508. 48. How can these values be interpreted? Check all that apply. The average of the sums of both types of tuitions would be $6,348. 75 for many, many randomly selected pairs of students. Students who pay both types of tuition will pay $6,348. 75 per semester. For a pair of randomly selected in- and out-of-state students, the sum of their tuitions is $6,348. 75. For a pair of randomly selected in- and out-of-state students, the sum of their tuitions typically varies from the mean of $6,348. 75 by about $1,508. 48. Students who pay both in- and out-of-state tuition should expect their cost to vary by about $1,508. 48 per semester

Answers

The average tuition for two randomly chosen in-state and out-of-state students is around $1,508 less than the mean of $6,348.75.

Mean Deviation

The average deviation from the mean value of the provided data set is determined using the mean deviation, which is defined as a statistical metric.

Given

μS = $6,348.75

σS = $1508.48

The average sum of the tuition fees is $6348.75

As a result, it follows:

The standard deviation of the tuition for in-state students is measured as a difference from 6348.75.

The standard deviation for out-of-state students gauges how their tuition is different from 1508 in total.

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using factorization middle school way ☹️​

Answers

On solving the provided question, we can say that - by the prime factors we have x^2 + 1 +2x = X= -1, -1

what is prime factor?

Any natural number other than 1 with just itself and the number 1 as its divisors is considered a prime factor. Actually, 2, 3, 5, 7, 11, and so on are some of the first prime numbers. an amount that has been multiplied to produce another amount. By dividing 15 by 3 and 5, for instance, we get 3 5 = 15. main elements: Prime factors include all factors that are prime but are not composite. A few prime factors of 30 are 2, 3, and 5. Only 2 and 3 are prime factors of 12, so listing 2 twice as 2 2 3 (or 22 3) is necessary to factorize 12. The sum of 2 + 3 is not 12.

here we have the equation,

[tex]x^2 + 1 + 2x\\[/tex]

(x+1)(x+1)

x = -1, -1

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Could someone give me a hand here I’m rlly in a rush I needa get this over with

Answers

Answer:

c = √52

Step-by-step explanation:

applying pythagoras theorem: a² + b² = c²

where 'a' and 'b' are legs and 'c' the hypotenuse.

Substitute values:

6² + 4² = c²

c² = 36 + 16

c² = 52

c = √52

What is the importance of constructing a probability distribution for a random variable in interpreting data?​

Answers

A probability distribution model is a guide you use to fit a random variable in order to generalize its behavior.

A probability distribution is a list of all of the possible outcomes of a random variable, along with its corresponding probability values.

A probability distribution links each outcome of a random variable or process with its probability of occurrence.

A probability distribution model is a guide you use to fit a random variable in order to generalize its behavior.

These models have a mathematical background, and can be very picky. For them to work properly, the random variable you are trying to fit in must meet different assumptions so that the outcomes of the model have the correct probabilities, and also so that you can test and validate the model against real data from the random variable.

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I hate math. truly.

Question: Which is the solution to the inequality?
1/4 + x < 5/6

Answer Choices:

A: x < 7/12

B: x > 7/12

C: x < 1 1/12

D: x > 1 1/12

Answers

Answer:

A: x<7/12

Step-by-step explanation:

I hate math too :)

The sign wouldn't be flipped cause you don't have to divide, and 5/6 - 1/4 is 7/12. Hope this helps

The answer is

A: x < 7/12

Which figures are shown in the diagram? Select three options.

Answers

Answer:

point d

ray cd

segment cd

Step-by-step explanation:

HELP ASAP PLEASE!! The table shows the numbers of cars manufactured in thousands by a company for selected years. Use a calculator to write a quartic model for the number of cars manufactured in a given year since 2000. Then use the model to estimate the number of cars manufactured in 2007

Answers

In algebra, a symbol is used to denote an unknown numerical value in an equation or algebraic expression.

What is meant by variables?

A variable in mathematics is a letter that is substituted for an unknown integer in equations, expressions, and formulas.

An unknown numerical value in an equation or algebraic expression is represented by a symbol (often a letter) in algebra. A variable is, to put it simply, a quantity that may be altered and is not fixed.

The two primary categories of variables are categorical and numeric. Then, for categorical and numerical variables, respectively, nominal or ordinal and discrete or continuous subcategories are created for each category. This section provides a quick overview of these types.

A.) (x) ≈ 0.572[tex]$$x^4[/tex] − 15.63x³ + 146.273x² − 523.325x + 687.334

Approximately 203 automobiles were produced in 2007, according to estimates.

B.) f(x) ≈ 0.423x³ − 12.463x2 + 123.485x − 223.309

Approximately 178 automobiles were produced in 2007, according to estimates.

C.) f(x) ≈ 0.572[tex]$$x^4[/tex] + 15.63x³ − 146.273x² − 523.325x + 687.334

Approximately 203 automobiles were produced in 2007, according to estimates.

D.) f(x) ≈ 0.423x³ + 12.463x² − 123.485x + 223.309

Approximately 178 automobiles were produced in 2007, according to estimates.

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Number of cars manufactured in 2007 will be equal to 178 or 203 based on quartic model.

What is meant by variables?

A variable in mathematics is a letter that is substituted for an unknown integer in equations, expressions, and formulas.

An unknown numerical value in an equation or algebraic expression is represented by a symbol (often a letter) in algebra. A variable is, to put it simply, a quantity that may be altered and is not fixed.

The two primary categories of variables are categorical and numeric. Then, for categorical and numerical variables, respectively, nominal or ordinal and discrete or continuous subcategories are created for each category. This section provides a quick overview of these types.

A.) (x) ≈ 0.572 − 15.63x³ + 146.273x² − 523.325x + 687.334

Approximately 203 automobiles were produced in 2007, according to estimates.

B.) f(x) ≈ 0.423x³ − 12.463x2 + 123.485x − 223.309

Approximately 178 automobiles were produced in 2007, according to estimates.

C.) f(x) ≈ 0.572 + 15.63x³ − 146.273x² − 523.325x + 687.334

Approximately 203 automobiles were produced in 2007, according to estimates.

D.) f(x) ≈ 0.423x³ + 12.463x² − 123.485x + 223.309

Approximately 178 automobiles were produced in 2007, according to estimates.

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#1: The equation below describes the relationship between
the number of months (x) since a customer began renting a
storage unit and the total amount of money (y), in dollars, the
customer has paid to the storage facility.
`y=20x+35
Which statement describes a solution of the equation based
on the number of months the customer has rented the storage
unit?
A. After exactly 355 months, the customer has paid $16.
B. After exactly 16 months, the customer has paid $355.
C.After exactly 320 months, the customer has paid $16.
D.After exactly 16 months, the customer has paid $320.

Answers

The correct option for the given linear equation is option (B).

What is a linear equation?

An equation is said to be linear if the maximum power of the variable is always 1. A linear equation with two variables has the conventional form Ax + By = C. Here, the variables x and y, the coefficients A and B, and the constant C are all present.

The given equation is y =20x + 35

       y = total amount of money

       x = number of months the customer has been renting the storage unit

A) If x = 355

        y = 20 * 355 + 35 = $7135

    This is not the correct option.

B) If x = 16

      y = 20*16 + 35 = $355

     This is the correct option.

C) if x = 320

      y = 20 * 320 + 35 = $6435

      This is not the correct option.

D) If x = 16

       y = 20*16 + 35 = $355

      This is not the correct option.

Therefore the correct option for the given linear equation is option (B).

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Which of the following chocies is not a function?

A {(0, 0), (1, 4), (2,8)}
B {(0, 0), (3, 16), (16, 49)}
C {(1, 1), (2, 2), (3, 3), (4,4)}
D {(7, 1), (6, 2), (5, 3), (5,4)}
E All of these choices are functions.

Answers

The answer is C.

C has x values that repeat.
The answer should be C.

2n -3=7
what is the variable?
What is the coefficient of the variable?
Which of these the solution of the equation?​

Answers

The variable for the equation 2n - 3 =7 is 5.

What is variable ?

A variable is a symbol used to denote a mathematical object in mathematics. Any number, vector, matrix, function, function argument, set, or set element can be represented by a variable.

A variable is a quantity that could change depending on the circumstances of an experiment or mathematical problem. Typically, a variable is denoted by a single letter. The general symbols for variables most frequently used are the letters x, y, and z.

An amount that can fluctuate depending on the mathematical issue is referred to as a variable. The generic letters x, y, and z are frequently employed in mathematical expressions and equations. A variable, then, is a symbol denoting a number whose value is unknown.

Then variable is n

Variable is an alphabet that depend on number.

Then the variable there is n

And the coefficient of the variable is 2

The coefficient is the number behind a variable

And the value of the variable is

2n-3=7

Add 3 to both sides

2n-3+3=7+3

2n=10

Divide both side by 2

2n/2=10/2

n=5

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Logan invested $180 in an account paying an interest rate of 2.6% compounded continuously. Assuming no deposits or withdrawals are made, how much money, to the nearest ten dollars, would be in the account after 12 years?

Answers

Answer:

250

Step-by-step explanation:

Compounded Continuously:

A=Pe^{rt}

A=Pe

rt

P=180 r=0.026 t=12

Given values

A=180e^{0.026(12)}

A=180e

0.026(12)

Plug in

A=180e^{0.312}

A=180e

0.312

Multiply

A=245.90784475

A=245.90784475

Use calculator (with e button)

A\approx 250

A≈250

3: 5 and 2:10 is are equivalent . explain

Answers

The ratios are not equivalent.

This one is not equivalent

find the ratio of 15 min and 1 hrs.​

Answers

The ratio of 15 minutes to 1 hour is 1:4

estimate the area of each figure. each square represents 1 square foot.

Answers

I thinks it’s 25ft ^2

Answer:

12 ft^2

Step-by-step explanation:

If you split up the 4 triangles you would have 8 right triangles

To solve for 1 right triangle you use the formula : 1/2 • l • h

1/2 • 1 • 2 = 1

Since there’s 8 right triangles you do:

8 • 1 = 8

Now the inner shape (a square):

2 • 2 = 4

Add up the areas:

8 + 4 = 12

find the number of digits in the square root of 740200625 PLS ANSWER FAST​

Answers

Answer:

740200625 square rooted equals

[tex]25 \sqrt{1184321} [/tex]

A spinner is divided into 7 equal regions, numbered 9 through 15. An arrow is spun and lands on one of the numbers. Which of the following best describes the probability of the arrow landing on a number that is greater than 13?

A.
0.143

B.
0.286

C.
0.429

D.
0.571

Answers

Therefore , the solution of the given problem of probability comes out to be  P =0.286(approx).

Define probability.

Probability is the likelihood or potential for something to event.  For instance, there is only one way to get a head and a total of two possible outcomes, hence the probability of flipping a coin and getting heads is 1 in 2. (a head or tail). P(heads) must equal 12. Classical: (equally likely results) (equally probable outcomes) S, the sample location (the collection of all distinct outcomes that could occur), Definition of Relative Frequency and Subjective Probability.

Here,

Given : S = {9,10,11,12,13,14,15}

If A is a subset of S, A could be {14,15}.

If a subset A represents the complement of spinning a number greater than 13, its sample space is A = {14,15}.

Thus,

To find the probability that it will land on number greater than 13

P = likelihood of event / total no of events

=> P = 2/7

=> P = 0.2857

=> P =0.286(approx)

Therefore , the solution of the given problem of probability comes out to be  P =0.286(approx).

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Rebecca believes that the sum of 3 + (-53) is 8.9 Kenneth thinks the sum is -27. Who is correct?​

Answers

Answer:

They both are not correct.

Step-by-step explanation:

3+(-53) = -50 not -27 or 8.9

answer:
neither one of them

step-by-step explanation:
3 + (-53)
3 - 53
-50

he distribution of the diameters of a particular variety of apples is approximately normal with a standard deviation of 0.2 inches. How does the diameter of an apple at the 34th percentile compare with the mean diameter

Answers

Using the normal distribution, we have that diameters at the 0.34th percentile are 0.2 standard deviations, that is, 0.127 inches above the mean.

Which of the following can be true about an event's probability?

Probability is the likelihood that a particular experiment result will appear a certain number of times. It cannot be less than zero or greater than one. A 100% chance of an outcome occurring exists if the outcome is 1, for example. If the result is greater than 1, there is a greater chance that it will occur.

In a normal distribution with mean  and standard deviation , the z-score of a measure X is given by:

It measures how many standard deviations the measure X is from the mean.

After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.

In this problem:

34th percentile is X when Z has a p-value of 0.34, so X when Z = 0.6331.

It means that the diameter is 0.44 standard deviations = 0.6331x0.2 = 0.127 inches above the mean.

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During the summer holidays sarah earns pocket money by mowing lawn. She can mow 6 lawns in 1 1/2 and clean the pool in one-sixth of an hour

Answers

Answer:

It will take Sarah 2 1/2 hours to mow 10 lawns

It will take Sarah 1 2/3 hours to clean 10 pools

Step-by-step explanation:

During the summer holidays, Sarah earns pocket money by mowing the lawn. She can mow 6 lawns in 1 1/2 hour and clean a pool in one-sixth of an hour. How long does Sarah take to clean 10 pools and 10 lawns?

Number of lawns : Time to mow lawns = 6 : 1 1/2

= 6 : 3/2

Number of lawns : Time to mow lawns = 10 : x

6 : 3/2 = 10 : x

6 ÷ 3/2 = 10/x

6 * 2/3 = 10/x

12/3 = 10/x

Cross product

12 * x = 3 * 10

12x = 30

x = 30/12

x = 2 6/12

x = 2 1/2 hours

It will take Sarah 2 1/2 hours to mow 10 lawns

Number of pools cleaned : time taken = 1 : 1/6

Number of pools cleaned : time taken = 10 : x

1 : 1/6 = 10 : x

1 ÷ 1/6 = 10/x

1 * 6/1 = 10/x

6 = 10/x

Cross product

6 * x = 10

6x = 10

x = 10/6

x = 1 4/6

x = 1 2/3 hours

It will take Sarah 1 2/3 hours to clean 10 pools


Find the measure of the missing angles.

Answers

Answer:

c = 110-degrees

b = 70-degrees

Step-by-step explanation:

for c:

linear pair which means it equals 180-degrees

70 + c = 180 *subtract 70 from both sides*

c = 110

for b:

vertical angles are equal

b = 70-degrees

Find the equation of the line that has the given x-intercept and y-intercept. Write the answer in standard form.​

Answers

Answer:

x - 4y = -4

Step-by-step explanation:

Standard form of a line: Ax + By = C

Equation of line in x-intercept and y-intercept form:

         [tex]\sf \boxed{\dfrac{x}{a}+\dfrac{y}{b}=1}[/tex]

Here a is x-intercept and b is y-intercept.

           a = -4 & b = 1

[tex]\sf \dfrac{x}{-4}+\dfrac{y}{1}=1\\\\\text{Mutiply the entire equation by (-4)},\\\\(-4)*\dfrac{x}{-4} + (-4)*\dfrac{y}{1}=1*(-4)\\\\\\x - 4y = -4[/tex]

Equation of line in standard form:

        x - 4y = -4

PLZ HELP ME I BEG UUUUU

Answers

Answer:

43.96

Step-by-step explanation:

14 x 3.14 = 43.96

7 is the radius but 14 is the like line and to find it you add 7 plus 7 (aka the other half) and multiply it by 3.14 thus the answer is

43.96

Answer:

B

Step-by-step explanation:

C = d x pi

Since the radius is half of the diameter, we have to multiply 7 and 2 which would give us 14. After that, we multiply 14 and 3.14 which gives us 43.96 in.

Other Questions
The dedication of citizens to the common welfare of their community or country, even at the cost of his or her individual interests. Both citizens and leaders are willing to set aside what they want for the common good. (x - 16)2 + (y - 6)2 = 1 Translated 4 left, 2 up Serenity worked as a waitress. She earned $12. 50 per hour and made $175 tips on Saturday. How many hours did Serenity work if she made a total of $262. 50? What is meant by scarcity ? Solve the inequality: -16< 4(2x + 8) What is the authors main purpose in the article? A.to encourage Native American teenagers to seek out more information regarding College Horizons retreatsB.to encourage more Native Americans to apply for college despite the challenges that may plague themC.to inform readers about how College Horizons is helping Native American teenagers overcome obstacles relating to collegeD.to criticize the current education system that does not provide all students with a fair chance to attend college(Commonlt HOW NATIVE STUDENTS CAN SUCCEED IN COLLEGE: 'BE AS TOUGH AS THE LAND THAT MADE YOU') Please help me. Look at the attached picture. CAN SOMEONE FLIPPEN HELP ME!! SOMEONE WHO SPEAKS OR IS GOOD AT SPANISH PLEASE HELP ME!Parte B- Use the Venn Diagram below to compare and contrast the cities of Buenos Aires and Montevideo. Make sure to include the differences and similarities of both cultures (art, music, food, architecture, sport, etc..)(I added an example of a venn diagram in the picture just in case) What does it mean to have no one to care for you? Work out the length of x.Give your answer rounded to 1 decimal place.x9 m14.5 mThe diagram is not drawn accurately.Please help find out the, mass of 10^21 molecules of cu What is quadrant 1 2 3 and 4? what is the answer to 9(4)= You decide to make 10 lb of a peanut-and-raisin mixture to sell at the class snack sale. You can buy peanuts for $2.50 per pound and raisins for $1.75 per pound. If you want to sell the mixture for $2 per pound, how many pounds of peanuts and how many pounds of raisins should you use 2. TAKING NOTES In a two-column chart, list the economic changes that occurred in the North and South as a result of the Civil War. Explain how these changes affected the two regions Help PleaseLove You Social schema tends to be learned in which of the following ways?A. through one's interactions with othersB. by inheriting characteristics from parentsC. by thinking about how to treat othersD. through thinking and self-study Please help ASAP this is for a final testA line which is perpendicular to this line would have a slope of ___.Write your answer as a whole number or simplified fraction or improper fraction (not a decimal or mixed number). Use a / for a fraction bar. What is the relationship between the enthalpy (AH) and entropy (AS) of areaction that is never spontaneous?OA. +AH,-ASOB. -AH, +ASOC. -AH-ASOD. +AH, +ASSUBMIT The king has refused to agree to laws that would benefit the people. ___________Our own governments have been abolished. ___________All men are created equal. The king has caused fighting among the colonists. ___________Our trade with the rest of the world has been cut off. ___________We pledge our lives, fortunes, and honor in support of the Declaration of Independence. ___________Sometimes it becomes necessary for one group of people to cut ties with another group of people. ___________The king gets to decide whether the judges keep their jobs and how much they get paid. ___________New laws have taken away our right to a jury trial in many cases. ___________When government threatens peoples natural rights, the people have the right to abolish it and make a new government. ___________We now cut all political connection with Great Britain. ___________The king has opened new government offices and sent swarms of officers to harass our people. ___________The king has housed large numbers of troops in our communities. ___________Government must get its power from the consent of the governed. ___________When one group of people decides to separate from another, they should explain why. ___________We declare that the colonies are and should be free and independent states. ___________Life, liberty, and the pursuit of happiness are unalienable rights. ___________The king has tried to keep people from coming to the colonies to live. ___________