Xavier buys a dog collar that costs $6.79. He pays for the dog collar
with a $10 bill.
How much change does Xavier receive?

Answers

Answer 1

Answer: Xavier will receive $3.21 in change.

Step-by-step explanation:

To find the change Xavier receives, we need to subtract the cost of the dog collar from the amount he paid with his $10 bill:

Change = $10 - $6.79 = $3.21

Therefore, Xavier will receive $3.21 in change.


Related Questions

) What is the measure of ∠x in the diagram below?

Answers

Answer:

Step-by-step explanation:

X+125=180    (angles on a straight line add to 180 (supplementary) ).

so x=55°

A man saves Rs.7,500 in first year. In each year after the first, he saves Rs. 2,000 more than he does in the preceding year. When will he be saved the total amount Rs.1,65,000? Find it.​

Answers

Answer:

aeqtq34t

Step-by-step explanation:

q34t35t134

Looking for an answer to this: Every non zero number can be used twice, between two same non zero numbers is as many zeros as how large is the non zero number example is 40001041 and 300103100. How many 7 digit numbers are there that have two 1s and two 2s and not defined number 0s?
Thank you for any responses.​

Answers

Answer:

50000

Step-by-step explanation:78473294724829384739284732984739824

find the area of a quadrilateral ABCD in each case.

Answers

The area of the quadrilateral ABCD for this case is of 4 square units.

How to obtain the area of the quadrilateral ABCD?

The quadrilateral ABCD in the context of this problem represents a diamond, hence it's area is given by half the product of the diagonal lengths of the diamond.

The lengths for each diagonal of the diamond are given as follows:

Diagonal AC = 2 - 0 = 2.Diagonal BD = 4 - 0 = 4.

The product of the diagonal lengths is given as follows:

AC x BD = 2 x 4 = 8 square units.

Hence half the product of these diagonal lengths, representing the area of the quadrilateral, is given as follows:

0.5 x 8 square units = 4 square units.

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when performing a hypothesis test based on a 95% confidence level, what are the chances of making a type ii error?

Answers

When performing a hypothesis test based on a 95% confidence level, the chances of making a type II error are 5%.

The process of hypothesis testing is used to determine whether or not a given statistical hypothesis is valid. The objective of this method is to determine whether the null hypothesis can be accepted or rejected based on the sample data obtained.

Hypothesis testing can be used to evaluate two hypotheses. The null hypothesis is the one that must be accepted or rejected, while the alternative hypothesis is the one that must be supported. In other words, hypothesis testing is a way of determining whether the null hypothesis is reasonable or not.

The Type II error is defined as the error that occurs when the null hypothesis is not rejected even though it is incorrect. In hypothesis testing, this type of error is referred to as a beta error or a false-negative error. The chances of making a Type II error depend on several factors, including the sample size, the level of significance, and the power of the test. When the level of significance is lowered to 0.05, the chances of making a Type II error are 5%.

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Frankie's dad made scrambled eggs for the family's breakfast. He started with a full carton of 12 eggs he used 8 of the eggs. What fraction of the carton of eggs did he use write at least two equivalent fractions

Answers

Frankie's dad used 2/3 of the carton of eggs for their breakfast. Two equivalent fractions are 16/24 and 24/36.

Frankie's dad used 8 out of 12 eggs from a full carton. To express this as a fraction, we can write it as 8/12. However, this fraction can be simplified by dividing both the numerator and denominator by their greatest common factor, which in this case is 4. Thus, we get:

8/12 = (8 ÷ 4)/(12 ÷ 4) = 2/3

Alternatively, we can also express this fraction in different forms. One way to do this is by multiplying both the numerator and denominator by the same number. For example, if we multiply both by 2, we get:

8/12 = (8 × 2)/(12 × 2) = 16/24

Similarly, we can multiply by 3 to get:

8/12 = (8 × 3)/(12 × 3) = 24/36

Both of these fractions are equivalent to 2/3, and we can find infinitely many other equivalent fractions by multiplying both numerator and denominator by different numbers.

In summary, when Frankie's dad made scrambled eggs using 8 eggs from a full carton of 12 eggs, he used 2/3 of the carton. This fraction can be expressed in different forms that are equivalent to 2/3 by dividing both numerator and denominator by their greatest common factor or by multiplying both numerator and denominator by the same number.

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5 x _ = -35
Topic: Multiplying and Dividing Integers

Answers

Given:

5× ______ = - 35

• -35/5

• -7

Answer:

5 x -7 = -35

Answer:

The answer is 7

Step-by-step explanation:

Divide each term in 5x=-35 by 5 and simplify.x=−7

there are black, blue, and white marbles in a bag. the probability of choosing a black marble is 0.36 . the probability of choosing a black and then a white marble is 0.27 . to the nearest hundredth, what is the probability of the second marble being white if the first marble chosen is black?

Answers

There are black, blue, and white marbles in a bag. The probability of choosing a black marble is 0.75.

Let's assume that there are 100 marbles in the bag. If the probability of choosing a black marble is 0.36, there are 36 black marbles in the bag. Therefore, there are 64 marbles of other colors (white and blue) in the bag.

Using the same method, we can say that the probability of choosing a white marble after drawing a black one is [tex]\frac{0.27}{0.36}= 0.75[/tex]  (rounded to the nearest hundredth). It means that there are 75 white marbles for every 100 black marbles in the bag.

Therefore, the probability of the second marble being white if the first marble chosen is black is

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give a binary representation for each number given below in hex. drop the leading zeroes in your binary representation. (a) a3 (b) 1fc (c) 2a0b

Answers

The binary representation is (a) a3 in binary is 10100011(b) 1fc in binary is 11111100(c) 2a0b in binary is 1010100000001011

In hexadecimal, each digit represents four bits, which means that two hexadecimal digits can represent eight bits. As a result, converting from hexadecimal to binary is straightforward. The four bits corresponding to each hexadecimal digit can be written down, resulting in an 8-bit binary value.

To convert hexadecimal to binary, simply convert each hexadecimal digit to binary, then combine them to get the final binary representation. For instance, in a, the hexadecimal digit a has a binary representation of 1010, while the digit 3 has a binary representation of 0011.

Combining these results in a binary representation of 10100011. Similarly, the binary representations of 1f and c are 00011111 and 00001100, respectively.

Combining them results in 11111100. Finally, the binary representation of 2a0b is obtained by converting 2, a, 0, and b to binary, resulting in 0010, 1010, 0000, and 1011, respectively. Combining them results in 1010100000001011.

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Assume that "a" is the average of p, 2q, and 4; "b" is the average of 2p, 4q, and 8; and "c" and the average of 6p, 3q, and 6. What is the average of "a, b, c" in terms of p and q?
a) p + q + 2
b) p + q + 4
c) 3p + 6q + 6
d) 9p + 6q + 2

Answers

The average of "a, b, c" in terms of p and q is a) p + q + 2

How to determine the average

The question asks us to find out the average of a, b, and c in terms of p and q.

The given data in the question are -a, b, and c are the averages of p, 2q, and 4; 2p, 4q, and 8; and 6p, 3q, and 6, respectively.

We need to find the average of these averages.

Let's solve for a first:a = (p + 2q + 4) / 3

We can solve for b as:

b = (2p + 4q + 8) / 3

And, solving for c,c = (6p + 3q + 6) / 3

Now, let's sum a, b, and c:

a + b + c = [(p + 2q + 4) / 3] + [(2p + 4q + 8) / 3] + [(6p + 3q + 6) / 3]= [p + 2q + 4 + 2p + 4q + 8 + 6p + 3q + 6] / 3= (9p + 9q + 18) / 3= 3(p + q + 2)

Therefore, the answer is option A, p + q + 2.

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on her way to visit her parents, jennifer drives 265 miles in 5 hours what is her average rate of speed in miles per hour?

Answers

Answer:

53 miles per hour

Step-by-step explanation:

To calculate Jennifer's average rate of speed in miles per hour, we can use the formula:

average speed = total distance / total time

In this case, Jennifer drove a total distance of 265 miles and it took her a total time of 5 hours, so:

average speed = 265 miles / 5 hours

Simplifying the expression, we get:

average speed = 53 miles per hour

Therefore, Jennifer's average rate of speed in miles per hour is 53 miles per hour.

Answer: 53 miles per hour

Step-by-step explanation:

To find Jennifer's average rate of speed in miles per hour, we divide the distance she traveled by the time it took her:

Average speed = distance ÷ time

Average speed = 265 miles ÷ 5 hours

Average speed = 53 miles per hour

Therefore, Jennifer's average rate of speed was 53 miles per hour.

Please Help ASAP
Help would be greatly appreciated

Answers

Answer: A

Step-by-step explanation: i thing its wrigth

A number exceeds 20% of itself by 40. find the number.
WITH STEPS

Answers

Answer:

50

Step-by-step explanation:

Let the number = x.

20% of the number is 20% of x = 0.2x.

Since the number exceeds 20% of itself by 40, then teh number minus 20% of itself is 40.  

x - 0.2x = 40

0.8x = 40

x = 40/0.8

x = 50

The population of a city was 20000. The next year it increased by 2% find the new population

Answers

The city had 20,000 residents. The next year, it went up by 2%. The new population of the city after a 2% increase is 20400.

To find the new population of the city after a 2% increase from 20000, we need to use the following formula:

New population = Old population + (Percentage increase x Old population)

Substituting the given values into the formula, we get:

New population = 20000 + (2/100 x 20000)

New population = 20000 + 400

New population = 20400

It is important to note that this calculation assumes that the increase in population is the only factor affecting the total population. In reality, there may be other factors that affect the population, such as migration, birth rates, and mortality rates.

Additionally, this calculation only gives the estimated population based on the percentage increase, and the actual population may differ due to various factors.

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Can someone help me with this please? Thank you!​

Answers

Answer:

a. f(10)= 20*10+14

f(10)=200+14

f(10)= 214

214

pls answert this within 1 hour or else i will be DOOMED

Answers

In the fractions prompts given, the correct output are:

(1 ÷2) ÷ 4 = 1/8(1 ÷5) ÷ 2 = 1/10(1 ÷3) ÷ 5 = 1/15(1 ÷4) ÷ 4 = 1/16The solution to the problem for (1/2) ÷ 3 is given below.

What is a fraction?

A fraction represents a part of a whole. It consists of a numerator and a denominator, with the numerator indicating the number of parts and the denominator indicating the total number of parts.

The calculations are given as follows;

1 )

= (1/2) x (1/4) [dividing by a number is the same as multiplying by its reciprocal]

= 1/8

2) (1/5) ÷ 2

= (1/5) x (1/2)

= 1/10

3)

(1/3) ÷ 5

= (1/3) x (1/5)

= 1/15

4) (1/4) ÷ 4

= (1/4) x (1/4)

= 1/16

5) One day, Amy baked a cake and wanted to divide it equally among 3 of her friends. She realized she only had half a cake left, so she decided to divide it into equal parts. Each friend received 1/6 of a cake. To check her calculation, she multiplied 1/6 by 3 and got 1/2. Thus, (1/2) ÷ 3 = 1/6, since dividing by 3 is the same as multiplying by 1/3.

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44 friends evenly divided up an nnn-slice pizza. One of the friends, Harris, ate 111 fewer slice than he received. How many slices of pizza did Harris eat?
Write your answer as an expression

Answers

Harris ate x - 111 slices of pizza, So the total number of slices in the pizza is n ,where x is the number of slices each of the 44 friends received, and n is the total number of slices in the pizza, which must be a multiple of 44.

Let x be the number of slices each of the 44 friends received, then the total number of slices in the pizza is 44x. Since the pizza is evenly divided, the number of slices must be a multiple of 44.

Let y be the number of slices Harris received. Then, according to the problem, Harris ate 111 fewer slices than he received, so the number of slices he ate is y - 111.

Since the total number of slices in the pizza is 44x, we have:

y + 43x = 44x

Simplifying this equation, we get:

y = x

Therefore, Harris received the same number of slices as each of the other friends. So the number of slices he ate is:

y - 111 = x - 111

Substituting y = x, we get:

x - 111

Therefore, Harris ate x - 111 slices of pizza.

To find the value of x, we need to know the total number of slices in the pizza, which must be a multiple of 44. We can express this as:

44n = 44x

Dividing both sides by 44, we get:

 

n = x

So the total number of slices in the pizza is n.

Putting everything together, we get: Harris ate x - 111 slices of pizza, where x is the number of slices each of the 44 friends received, and n is the total number of slices in the pizza, which must be a multiple of 44.

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Given A = (-3,2) and B = (7,-10), find the point that partitions segment AB in a 1:4 ratio

Answers

Let's call the point we are looking for C. We want to find the coordinates of point C that partitions the line segment AB in a 1:4 ratio.

To do this, we can use the formula for finding the coordinates of a point that partitions a line segment in a given ratio. The formula is:

C = ((1 - r) * A + r * B) / 4

where r is the ratio (in this case, 1:4, so r = 1/5).

Substituting the values for A, B, and r, we get:

C = ((1 - 1/5) * (-3, 2) + (1/5) * (7, -10)) / 4

Simplifying:

C = (4/5 * (-3, 2) + 1/5 * (7, -10)) / 4

C = (-12/5, 8/5 - 2) / 4

C = (-12/20, 8/20 - 10/20)

C = (-3/5, -1/5)

Therefore, the point that partitions segment AB in a 1:4 ratio is (-3/5, -1/5).

The point that partitions segment AB in a 1:4 ratio would be (-3/5, -1/5).

How to find the ratio?

To find the point that partitions segment AB in a 1:4 ratio, we can use the section formula.

We can use the formula for finding the coordinates of a point that partitions a line segment in a given ratio. The formula is:

C = ((1 - r) * A + r * B) / 4

where, r is the ratio (in this case, 1:4, so r = 1/5).

Substituting the values for A, B, and r, we get,

C = ((1 - 1/5) * (-3, 2) + (1/5) * (7, -10)) / 4

Simplifying,

C = (4/5 * (-3, 2) + 1/5 * (7, -10)) / 4

C = (-12/5, 8/5 - 2) / 4

C = (-12/20, 8/20 - 10/20)

C = (-3/5, -1/5)

Therefore, the point that partitions segment AB in a 1:4 ratio is (-3/5, -1/5).

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Given the functions f(x) = 1/x-1 + 1 and g(x)=1/x+2 +4 describe the transformation of the graph of function f onto the graph of function g

Answers

Transformation of the graph from parent function f(x) to g(x) is:

there is shift of 3 units towards the right to reach from -1 to  2 along x axis.there is a shift of 3 units upward to reach from 1 to 4 on y axis.Explain about the transformation of coordinates?

That whenever a figure is relocated from one place to another without affecting its dimension, shape, or orientation, a transition known as translation takes place. If we are aware of the direction and magnitude of the figure's movement, we may draw the translation in the coordinate plane.

The x - axis and y values are reversed. 180° rotation about the origin Every x and y value reverses from what it was. Each current value becomes the counterpart of what it was after a 270° rotation of the origin. The two x and y values are reversed.

The given function:

f(x) = 1/x-1 + 1 and g(x)=1/x+2 +4

g(x) is obtained function after transformation:

transformation:

there is shift of 3 units towards the right to reach from -1 to  2 along x axis.there is a shift of 3 units upward to reach from 1 to 4 on y axis.

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based on the questionnaire about gap year for matrics what is a gap year a good idea?what the main reason for taking a gap year ,what the main reason against gap year what the best year gap year options ,can zanele take or not take a gap year​

Answers

Answer:

Based on the questionnaire about gap year for matrics, a gap year can be a good idea for some students. The main reason for taking a gap year is to gain life experience, travel, and explore career options before committing to a specific field of study. Additionally, a gap year can provide an opportunity for personal growth and development, as well as the chance to save money and gain work experience.

On the other hand, the main reason against taking a gap year is the potential delay in academic progress and the possibility of losing momentum and motivation towards pursuing further education. Additionally, some students may not have the financial means to afford a gap year and may not have access to job opportunities or travel experiences.

The best gap year options may vary depending on individual preferences and interests, but some popular options include volunteer work, internships, language immersion programs, and cultural exchanges.

As for Zanele, the decision of whether or not to take a gap year should be based on her personal goals and circumstances. If she feels that she needs time to explore her interests and gain experience before continuing with her studies, a gap year may be a good option for her. However, if she is motivated to pursue her academic goals and does not want to delay her progress, then she may choose not to take a gap year.

Step-by-step explanation:

4) Ella drives 60 miles per hour. How far will she drive in 2% hours?​

Answers

Answer: 1.2 miles

Step-by-step explanation:

1 hour = 60 min

60 x 0.02 = 1.2         1 minute and 20 seconds has elapsed

60 miles/ every 60 minutes or 1 mile a minute

1 x 1.2 = 1.2

she has traveled 1.2 miles

Answer: The answer is 120 mph (miles per hour)

Step-by-step explanation:

The one thing you need to do is to figure out how many mph did Ella drive for 2 hours.

So, you need to do 60 x 2, and you will get the answer 120.

And there's your answer!

Austin has a dimes and y nickels, having at most 28 coins worth a minimum of $2
combined. At least 18 of the coins are dimes and no more than 6 of the coins are
nickels. Solve this system of inequalities graphically and determine one possible
solution.

Answers

The solution of system of inequalities solved graphically is (18,6).

What is system of linear inequalities?

A group of two or more linear inequalities are graphed together on a coordinate plane to discover the solution that concurrently satisfies all the inequalities. This is known as a system of linear inequalities. The location where all the half-planes overlap is where the system is solved. Each inequality defines a half-plane on the coordinate plane. Every point in this area, which is referred to as the feasible region, fulfils all of the system's inequalities. To identify the optimum solution for an optimization problem given a set of constraints, systems of linear inequalities are frequently utilised.

Let us suppose the number of dimes = a.

Let us suppose the number of nickels = y.

According to the problem we have the following conditions:

a + y ≤ 28 (at most 28 coins)

0.10a + 0.05y ≥ 2 (worth at least $2)

a ≥ 18 (at least 18 dimes)

y ≤ 6 (no more than 6 nickels)

Using different values of a and y plot the points.

The solution of this system of inequality is any point that lies in the feasible region.

One such point is (18, 6).

Hence, the solution of system of inequalities solved graphically is (18,6).

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Terri pays a monthly cell phone fee of $10. She pays 5 cents for each minute that she talks. If Terri does not make any calls, what would her bill be?

Answers

Answer:

$10

Step-by-step explanation:

We Know

Terri pays a monthly cell phone fee of $10. She pays 5 cents for each minute that she talks.

Let C be the total cost, and x be the number of minutes she talks; we have the equation.

C = 0.05x + 10

If Terri does not make any calls, what would her bill be?

C = 0.05(0) + 10

C = $10

So, her bill will be $10

Please help, as it is greatly appreciated

Answers

Ight I got u cos/sin is 14x

How do you find height when you are doing volume with cubic units?

Answers

Answer:calculate the cube root of a cube's volume.

Step-by-step explanation:

PLS ANWSER ASAP VERY HARD FOR ME

Answers

Answer:

x = 6

Step-by-step explanation:

Verticle angles are equal to each other...

m∠A = m∠B

Thus...

4x + 6 = 2x + 18

Now, we isolate x:

4x + 6 = 2x + 18

Subtract 6 from both sides

4x = 2x + 12

Subtract 2x from both sides

2x = 12

Divide both sides by 2

x = 6

A company has hired 12 new employees and must assign eight to the dayshift and four to the night shift and how many ways can the assignment be made ?

Answers

There are 495 ways to assign 8 employees to the day shift and 4 employees to the night shift from a group of 12 employees.

How many ways can the company assign eight employees to the dayshift and four employees to the night shift?

Given that, we need to find the number of ways to assign 8 employees to the day shift and 4 employees to the night shift from a group of 12 employees.

We can use combinations to solve this problem.

The number of ways to choose 8 employees from 12 for the day shift is:

C(12,8)

= 12! / ( 12 - 8 )! × 8!

= 495

Similarly, the number of ways to choose 4 employees from the remaining 4 for the night shift is:

C(4,4) = 1

= 4! / ( 4 - 4 )! × 4!

= 4!/4!

= 1

Therefore, the total number of ways to make the assignment is:

495 × 1 = 495

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Factor completely.

A) p^2-x^2+6x-9

B)b^2-c^2-10(b-c)

Thank you :DD

Answers

An expression is a combination of numbers, variables, and operations that can be evaluated to produce a value. Expressions can be simple or complex and can involve arithmetic, logical, or comparison operations.

What is the expression?

A) To factor [tex]p^2-x^2+6x-9[/tex] first notice that the expression inside the parentheses is the difference of two squares, so we can use the formula:

[tex]p^2 - x^2 = (p + x)(p - x)[/tex]

Therefore, we can write the expression as:

[tex](p + x + 3)(p - x + 3)[/tex]

To check this, you can use FOIL to expand the expression:

[tex](p + x + 3)(p - x + 3) = p^2 - px + 3p + px - x^2 + 3x + 3p - 3x + 9 = p^2 - x^2 + 6x + 9[/tex]

B) To factor b^2-c^2-10(b-c), notice that the first two terms form a difference of squares, so we can use the formula again:

[tex]b^2 - c^2 = (b + c)(b - c)[/tex]

The expression can then be written as:

[tex](b + c)(b - c) - 10(b - c) = (b - c)(b + c - 10)[/tex]

To check this, we can use FOIL again:

[tex](b - c)(b + c - 10) = b^2 - bc - 10b - cb + 10c = b^2 - c^2 - 10(b - c)[/tex]

Therefore, the factored form of the expression is [tex](b - c)(b + c - 10)[/tex].

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suppose the average gmat score of one university is 600 and such scores has a standard deviation of 100. what percentage of students has gmat scores between 400 and 800?

Answers

In conclusion, 95.4% of students have GMAT scores between 400 and 800.

Calculate z score need to find the proportion of scores that fall within the range of 400 to 800.

[tex]z=\frac{x- mean}{standard deviation}[/tex]

This formula tells us how many standard deviations away from the mean a given score is.

Given:

Mean= 600

Standard deviation = 100.

For the 400 scores:-

[tex]z=\frac{400-600}{100} \\z= -2[/tex]

For the 800 scores:-

[tex]z=\frac{800-600}{100} \\z=2[/tex]

Now we will use the standard normal distribution table to find the percentage of values between -2 and 2.

According to the standard normal distribution table, the percentage of values between -2 and 2 is approximately 95.45%.

Therefore, approximately 95.45% of students have GMAT scores between 400 and 800.

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The perimeter of a square is 8 root 2x units. The area of a square is 56 units square. Find the value of x

Answers

According to the perimeter, the value of x is 7/2.

The problem tells us that the perimeter of a square is 8√2x units. We can use this information to set up an equation. Since all four sides of a square are equal, we can let s represent the length of one side of the square. Then, we know that:

Perimeter of square = 4s = 8√2x

We can simplify this equation by dividing both sides by 4:

s = 2√2x

Now, we can use this expression for s to find the area of the square. The area of a square is simply the length of one side squared. So, we have:

Area of square = s² = (2√2x)² = 8x

The problem tells us that the area of the square is 56 units square, so we can set up another equation:

8x = 56

Solving for x, we get:

x = 7/2

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1. Choose the atom with the larger electronegativity.Select one:a. Rubidiumb. Caesium2. Choose the atom with the larger electronegativity.Select one:a. Boronb. Indium Match the action needed to increase profits with the reason a business might fail.A small company, especially a store, usually has a better chance of succeeding if it is in an area with other businesses because it can draw in new customers.A) poor managementB) competitionC) bad locationD) finances Need help because I dont have connection to anyone in this bookWhat character do I have a personal connection with from the chapter gifts and faith of Enriques journey evaluate this sql statement: select manufacturer id, count(*), order date from inventory where price > 5.00 group by order date, manufacturer id having count(*) > 10 order by order date desc; which clause specifies which rows will be returned from the inventory table? a. select manufacturer id, count(*), order date b. where price > 5.00 c. group by order date, manufacturer id d. order by order date desc e. having count(*) > 10 where do scavengers in an ecosystem obtain their energy from? [amc10b.2011.7] the sum of two angles of a triangle is $\frac{6}{5}$ of a right angle, and one of these two angles is $30^{\circ}$ larger than the other. what is the degree measure of the largest angle in the triangle? Which of the following statements about accumulated interest earned on dividends from an insurancepolicy is TRUE? please select the aoii shorthand term that matches the definition. a member who previously served as an international president . suppose host a sends two tcp segments back to back to host b over a tcp connection. the first segment has sequence number 90; the second has sequence number 110. a. how much data is in the first segment? Goods with a cost price of R200 are sold at a mark-up of 100%. The selling price is: in dublin, liam works to advance his career at microsoft by getting a raise and promotion. in the jakarta branch, gita is more concerned with helping her colleagues and developing supportive relationships at work. these cultural differences are associated with . achievement versus nurturing high versus low context power distance uncertainty avoidance Is decanoic acid soluble or insoluble in NaOH solution? how long will a car take to travel 140km averaging a speed of 35km/h What makes PCR a useful method for investigating genes? Fai spend $9 on his lunch. This is 30% of the money he had in his wallet. How much money did Fai have in his wallet? Find the product of 320 and 5 in simplest form. Also, determine whether the result is rational or irrational and explain your answer. Read the excerpt from Julius Caesar, act1. scene 2.[CASSIUS.] For once, upon a raw and gusty day.The troubled Tiber chafing with her shores,Said Caesar to me "Darest thou, Cassius, nowLeap in with me into this angry flood,And swim to yonder point?" Upon the word,Accoutred as Iwas, I plunged inAnd bade him follow. So indeed he did.The torrent roared, and we did buffet itWth lusty sinews, throwing it aside,And stemming it with hearts of controversy.But ere we could arrive the point proposed,Caesar cried 'Help me, Cassius, or I sink!*110115Which details should be included in a paraphrase of thepassage? Select three options.Cassius retells the story of the river to show thatCaesar was stronger than Cassius and other ordinarymen.On a cold and windy day while the waves of the riverbeat upon the shores. Even though I was stil dressed in armor, I jumped inon his dare and asked him to follow me.Caesar and Cassius argued about the river.Before we could reach our determined point, Caesarstarted to sink, and cried out to me for help. You want to know what students at your school would most like to attend a professional football, basketball or baseball game. Which sample should you choose for your servey?1- 5 of your friends 2- the basketball team 3- 25 random students As a part of the lgbt community what represents your personality Is the following sequence arithmetic or geometric? Find the common difference or ratio, depending on which one it is: 32, 8, 2, ....