PLEASE ANSWER ASAP!!!
Prove the divisibility of the following numbers: 5^5−5^4+5^3 by 7

Answers

Answer 1

Answer:

Step-by-step explanation:

[tex]5^5-5^4+5^3 \: \: \:by \:\:\:\:7\\common factor\\\\\frac{5^5-5^4+5^3}{7}\\\\\frac{5^3(5^2-5+1)}{7}\\\\\frac{5^3(5^2-4)}{7}\\\\\frac{5^3(25-4)}{7}\\\\\frac{5^3(21)}{7}\\ \\Simplify\\\\5^3(3)\\[/tex]


Related Questions

What is the image point of (-2,6) after a translation left 2 units and up 4 units?

Answers

Answer:

[tex](-4,10)[/tex]

Step-by-step explanation:

When you translate (x,y), left 2 units and up 4 units, it becomes (x-2,y+4)

We are given the point (-2,6).

We want to find the image of this point after a translation left 2 units and up 4 units.

[tex](-2,6)\to(-2-2,6+4)[/tex]

We simplify to get:

[tex](-2,6)\to(-4,10)

[/tex]

Final answer:

The image point of (-2,6) after a translation left 2 units and up 4 units is (-4,10).

Explanation:

To determine the image point of (-2,6) after a translation left 2 units and up 4 units, we simply need to adjust the x-coordinate and the y-coordinate by the amounts specified by the translation. Moving left 2 units means we subtract 2 from the x-coordinate, and moving up 4 units means we add 4 to the y-coordinate.

Starting with the x-coordinate of -2, we subtract 2:
-2 - 2 = -4.
So, the new x-coordinate is -4.

Starting with the y-coordinate of 6, we add 4:
6 + 4 = 10.
So, the new y-coordinate is 10.

Therefore, the image point after the translation is (-4,10).

Solve for the value of z: 8/5 = 16/z

Answers

Answer:

Step-by-step explanation:

[tex]\frac{8}{5}=\frac{16}{z}\\\\ 8*z=16*5\\\\z=\frac{16*5}{8}\\\\z=2*5\\\\z=10[/tex]

During the election for class president, 30% of the students voted for Lindsay, and 70% of the students voted for Sharif. 400 students voted in total. How many more students voted for Sharif than for Lindsay​

Answers

160 more students voted for sharif than Lindsay

find the quotient –132 ÷ 12.


A. –13


B. –6


C. –11


D. –10

Answers

Answer:

c. -11

Step-by-step explanation:

Answer: Hello, the answer is C. -11 glad to help have a great day and im here for any more questions you might have!

Step-by-step explanation:

In basketball you can earn three points for a shot and 1 point for a free-throw if Sam’s probability of getting a three point shot is 4/10 and 8/10 for free throw what is expected value for the game

Answers

Answer:

                                               

Step-by-step explanation:

when did pollution begin

Answers

Answer:

1780s to 1830s

Step-by-step explanation:

Pollution is not a new phenomenon. In fact, pollution has been a problem since the appearance of our earliest ancestors (Markham, 1994). Increasing human populations have opened the door to more bacteria and disease. During the Middle Ages, diseases such as cholera and typhoid fever broke out all across Europe.

Answer:

11,000 years ago.

Step-by-step explanation:

I pulled it from my notes!!!

Question 1 a
A marketing executive is investigating whether this year's advertising campaign has resulted in greater mean sales compared with last year's mean sales. The executive collects a random sample of 100
customer orders from a large population of orders and calculates the sample mean and sample standard deviation
Which of the following is the appropriate test for the executive's investigation?

Answers

Answer:

B) A one-sample t-test for population mean would be used.

Step-by-step explanation:

The complete question is shown in the image below.

The marketing executive is interested in comparing the mean number of sales of this year to that of previous year.

The marketing executive already has the value of mean from previous year and uses a sample to calculate the mean and standard deviation of sales for the current year.

Since, data is being collected for one sample only this limits us to chose between one sample test for mean. So now the possible options are one sample t-test for population mean and one sample t-test for population mean.

If we read the statement we can see that we have the value of sample mean and sample standard deviation. Value of population standard deviation is unknown. In cases where value of population standard deviation is not known and sample standard deviation is given, t-test is used.

Therefore, we can conclude that A one-sample t-test for population mean would be used.

T test is the test is a statistical test that is used to compare the means of two groups. The option B is correct option because a one sample t test for a population mean is the appropriate test for the executive's investigation for the given problem.

Given-

The options for the given question are-

A) A one sample z test for a population mean.B) A one sample t test for a population mean.C) A one sample z test for a population proportion.D) A two sample t test for a difference between means.E) A matched pairs t test for a mean difference.

T test

T test is the test is a statistical test that is used to compare the means of two groups.

In the given problem the marketing executive wants to compare the annual sales mean number for the this year to the past year.

The mean value of the past year is known to the marketing executive.

The mean value of this year has to be calculated by the marketing executive.

For this the executive collects a random sample of 100 customer orders from a large population of orders and calculates the sample mean and sample standard deviation.

As t test is used to determine a significant difference between the means of the two groups which may be related in certain features. Thus this test is best suitable for the given problem.

Hence the option B is correct option because a one sample t test for a population mean is the appropriate test for the executive's investigation for the given problem.

For more about the t test, follow the link below-

https://brainly.com/question/1189751

Okay...last time i ask. 4ths times a charm i suppose. please help. will mark brainliest. ill even write you a frickisagfbsdfn poem of how much i love you if you can figure this out.

Answers

Ok, so when it says "3x, x[tex]\leq[/tex]2," it means that when the x value is less than or equal to 3, you graph 3x. You would have the following points on the line: (-3,-9), (-2,-6), (-1,-3), (0,0), (1,3), and (2,6). The endpoint of the ray on the left side (the points I just said) would be (2,6)

When it says, "1/2 x +5, 2[tex]\leq[/tex]x," it means that when the value of x is greater than or equal to 2, the y value is .5x + 5. You would graph the following points: (2,6), (4,7), (6,8), and (8,9). The endpoint of th ray on the right (the points I just said) would be (2,6).

Keep in mind that though the graph is continuous, it isn't one line, but 2 rays (which you probably already know).

Use the table above to answer the question. Keith Jones purchased a $70,000 policy. At the fifth anniversary, what
would be the cash value of his policy?
21
21,000
2,100
210

Answers

Answer:

21,000

Step-by-step explanation:

........................

Answer:

I'm pretty sure it's 2,100

Step-by-step explanation:

Divide 70,000 by 1,000 to get 70

The cash value for a policy on its fifth anniversary is 30.00

multiply 70*30 to get 2,100

That's it :)

What is the wright answer

Answers

Answer:

Yes, these two fractions are equivalent. Additional equivalent fractions are given below.

Step-by-step explanation:

To determine if two fractions are equivalent, we should simplify each fraction into its simplest form.

Brett's fraction is 4/8. To simplify this fraction, we should divide both the numerator the denominator by the GCF, or greatest common factor. The GCF is 4, so we should divide both of these numbers by this factor to simplify. This is shown below:

4/8 = 4/4 / 8/4 = 1/2

Aisha's fraction is 1/2. Since the GCF of 1 and 2 is 1, we know that this fraction is already in its simplest form.

When we compare the simplified versions of the two fractions, we see that they are both 1/2; therefore, they are the same.

To determine additional equivalent fractions, we should multiply both the numerator and the denominator by the same factor. For example, 4/8 is generated by multiplying both the numerator and denominator by a factor of 4. By this same logic, 2/4, 3/6, and 5/10 are all also equivalent fractions (multiplied by factors of 2, 3, and 5, respectively).

For more information on simplifying fractions and finding GCFs, please check out these other questions on Brainly:

https://brainly.com/question/29116962

https://brainly.com/question/37016926

HELP URGENT I WILL GIVE 20 POINTS

Answers

h = 9.2 cm

Solution:

Base of smaller triangle = 5 cm

Height of smaller triangle = 2.3 cm

Base of larger triangle = 15 cm + 5 cm = 20 cm

Height of larger triangle = h

[tex]$\frac{2.3}{5}=\frac{h}{15+5}[/tex]

[tex]$\frac{2.3}{5}=\frac{h}{20}[/tex]

Multiply by 20 on both sides.

[tex]$20 \times \frac{2.3}{5}=\frac{h}{20} \times 20[/tex]

[tex]$\frac{46}{5}=h[/tex]

9.2 = h

So that Ryan should have add 15 and 5 to get a denominator of 20 on the right sides of the first line. Doing so gives the correct value, h = 9.2 cm.

16,15,13,12,17,14,11,9,11,9,10,9 find the median,first quartile (Q1), and third quartile (Q3)

Answers

Answer:

12

Step-by-step explanation:

ALL YOU HAVE TO DO IS PUT THE NUMBERS IN ORDER THEN FIND THE MIDDLE NUMBER

Answer:

median = 11.5 . first quartile = 9.5 , third quartile = 14.5

Step-by-step explanation:

arrange the 12 numbers in order:

9,9,9,10,11,11,12,13,14,15,16,17

median

since there is an even number (12)

we can divide by 2

12 /2

= 6th position and 7th position

= 11 + 12

= 23 / 2 = 11.5

median is 11.5

first quartile

is also known as the lower quartile is half of the median position

6/2 = 3rd position and 7/2 = 3.5th position  

9 + 10 = 19

19 / 2 = 9.5

first quartile is 9.5

third quartile

also known as upper quartile

is the position of median + position of lower quartile

= 6 +3 = 9th position and 7 +3 = 10th position

= 14 + 15 = 29

29/2 = 14.5

third quartile is 14.5

Which expression is equivalent to 2^5?

Answers

The expression which is equivalent to 2⁵ is, 2×2×2×2×2

What are expressions?

An expression is a sentence with at least two numbers or variables having mathematical operation. Math operations can be addition, subtraction, multiplication, division.

For example, 2x+3

Given that,

The given expression is  2⁵

Equivalent expression = ?

Given expression can be write in the factors of  2⁵

⇒ 2⁵ = 2×2×2×2×2

Hence, The equivalent expression is 2×2×2×2×2

To know more about Expressions check:

brainly.com/question/16804733

#SPJ2

Four students set up a lemonade stand.At the end of the day,their profit is $17.52. How much money do they have when the profit is split equally?

Answers

Answer:

$4.38

Step-by-step explanation:

Lets recap the information we are told in the problem:

There are 4 students in total

Their total profit is $17.52

The total profit needs to be split equally between them

Now we can focus on solving. To do so we can set up an equation like this:

(Total profit) ÷ (Number of students) = (Amount each student gets)

Lets insert our numbers into this equation:

$17.52 ÷ 4 = $4.38

So each student gets $4.38 each when the profit is split equally.

Out of the entire profit of $17.52, each one of the students will be able to take home a profit of $4.38.

These four students were able to sell enough lemonade that they made $17.52.

They will need to divide the profit amongst themselves and when they do so, each one of them will get:

= Profit made / Number of students

= 17.52 / 4

= $4.38

In conclusion, each one of the students will get $4.38.

Find out more at https://brainly.com/question/21391192.

Simplify by combining like terms 4s + 1/6s + 2 3/5s. There’s supposed to be a whole number and a fraction for the answer. Please HELP!

Answers

Answer:

[tex]6\dfrac{23}{30} s[/tex]

Step-by-step explanation:

The first step in simplying

[tex]$4s+\frac{1}{6}s +2\frac{3}{5}s $[/tex]

is to bring the mixed number [tex]2\frac{3}{5}s[/tex] into the form of an improper fraction:

[tex]$2\dfrac{3}{5}s = (2+\frac{3}{5})s =(\frac{10}{5} +\frac{3}{5})s = \frac{13}{5}s $[/tex]

Therefore, the expression now becomes

[tex]$4s+\frac{1}{6}s +\frac{13}{5}s $[/tex]

and to simplify further we find the common denominator of the fractions which is

[tex]6*5 =30[/tex],

therefore,

[tex]$4s+\frac{5}{30}s +\frac{78}{30}s $[/tex]

[tex]$\frac{120}{30} s+\frac{5}{30}s +\frac{78}{30}s $[/tex]

add the numerator and get:

[tex]\dfrac{203}{30} s[/tex]

as a mixed number this is

[tex]6\dfrac{23}{30} s[/tex]

Thus,

[tex]$\boxed{4s+\frac{1}{6}s +2\frac{3}{5}s = 6\dfrac{23}{30} s} $[/tex]

Triangle STV has side lengths of 7, 11, and 14 units. Determine whether this triangle is a right triangle.

Answers

The triangle STV is not a right angled triangle.

Explanation:

Given that STV is a triangle with side lengths of 7, 11 and 14 units

We need to determine that STV is a right angled triangle.

Using Pythagorean theorem, we have,

[tex]c^2=a^2+b^2[/tex]

where [tex]c=14, a=7[/tex] and [tex]b=11[/tex]

Substituting the values in the above formula, we have,

[tex]14^2=7^2+11^2[/tex]

Squaring the terms, we get,

[tex]196=49+121[/tex]

[tex]196=170[/tex]

Since, both sides of the equation are not equal, then the triangle STV is not a right angled triangle.

Final answer:

To determine if triangle STV is a right triangle, apply the Pythagorean theorem. The theorem shows that STV is not a right triangle because the squares of the two shorter sides do not add up to the square of the longest side.

Explanation:

To determine whether triangle STV with side lengths of 7, 11, and 14 units is a right triangle, we can use the Pythagorean theorem. Pythagorean theorem states that for a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides. In mathematical terms, if c represents the length of the hypotenuse and a and b represent the lengths of the other two sides, then the triangle is right if and only if c² = a² + b².

For triangle STV, let's assign the longest side, which is 14 units, as the hypotenuse c, and the other two sides as a and b. So:

a = 7 units

b = 11 units

c = 14 units

Now, we check:

c² = 14² = 196
a² + b² = 7² + 11² = 49 + 121 = 170

Since 196 does not equal 170, we conclude that triangle STV is not a right triangle.

Two positive numbers have a difference of 4 and a product of 96. What are the numbers?
A
B
12 and 8
16 and 6
16 and 12
D.
18 and 14
Reset
Next

Answers

Answer:

12 and 8

Step-by-step explanation:

the difference is 4 if you do 12-8=4

the product sum is 96 which is 12*8=96

Answer:

12 and 8

Step-by-step explanation:

Let the numbers be x  and y

x - y = 4 ................(1)

xy = 96 ..................(2)

From equation 1

x = 4+y ..............(3)

Put x = 4+ y into equation 2

y(4+y) = 96

y² +4y = 96

y² + 4y - 96 = 0

Solve quadratically using factorisation method

y² + 12y - 8y - 96 =0

y(y+12) - 8 ( y + 12) = 0

(y +12)(y -8) = 0

y = -12 or 8

When y = -12

x = 4+y = 4-12 = -8

When y= 8

x = 4+y = 4+8 =12

Numbers are 12 and 8  or -8 and -12

I hope this was helpful, please mark as brainliest

which table goes with this equation?

y=x+5​

Answers

Answer:

C is the answer

Step-by-step explanation:

y = x + 5

If x = 0,

y = 0 + 5 = 5

Again, if x = 1,

y = 1 + 5 = 6

Again if x = 2,

y = 2 + 5 = 7

Therefore, option C is the answer.

x     y

0    5

1     6

2    7

Other options A, B, and D are not correct. Because if x = 0, y cannot be equal to either 0 or 3. Again, if x = 1, y cannot be equal to either 3 or 4.

What is the value of 4t^2? T=3

Answers

Answer:

36

Step-by-step explanation:

[tex]4 \times {t}^{2} = 4 \times {3}^{2} \\ = 4 \times 9 \\ = 36[/tex]

2x + y = 5
4x + 2y = 10

Answers

Answer: x= 5-y/2

y= 5-2x

Step-by-step explanation:

2x + y= 5

4x + 2y=10

Addition of the two equations gives:

6x + 3y = 15

6x= 15- 3y

x= 15-3y/6 or simplified to x = 5-y/2

3y= 15- 6x

y= 15-6×/3 or simplified to y= 5-2x

What is the quotient ? 7^-5/7^2

Answers

Answer:

1/823543

Step-by-step explanation:

7^-5/7^2

so basically add them because its a neg. exponent.

7^-3

that equals 1/7^3

mark me brianliest please!

Answer:

is a

Step-by-step explanation:

got it right on the asighnment

the year 2000, a company made $4.9 million in profit. For each consecutive year after that, their profit increased by 13%. How much would the company's profit be in the year 2003, to the nearest tenth of a million dollars?

Answers

Answer:

14.7 is the best answer i can come up with it might be wrong it might not be to be helpful there you go

Step-by-step explanation:

Final answer:

To find the company's profit in the year 2003, we need to apply a 13% increase for each consecutive year. Starting from an initial profit of $4.9 million in 2000, we can calculate the profit for each year using the given formula.

Explanation:

To find the company's profit in the year 2003, we need to apply the given increase of 13% for each consecutive year. Starting from the initial profit of $4.9 million in 2000, we can calculate the profit for each year using the formula:

New Profit = Previous Profit + (Previous Profit * 0.13)

Using this formula, we can determine the profit for the year 2003 as follows:

Year 2000 Profit: $4.9 million

Year 2001 Profit: $4.9 million + ($4.9 million * 0.13) = $5.537 million

Year 2002 Profit: $5.537 million + ($5.537 million * 0.13) = $6.267 million

Year 2003 Profit: $6.267 million + ($6.267 million * 0.13) = $7.082 million

Therefore, the company's profit in the year 2003 would be approximately $7.082 million to the nearest tenth of a million dollars.

If you earn $2850 per month and you expect your earnings to increase by 6.6% per year, how much do you think you will be making in 2 years?

Answers

Answer:

To calculate how much you will be making in 2 years, given that you earn $2850 per month and your earnings are expected to increase by 6.6% per year, we can follow these steps:

1. Calculate the annual increase: To find the annual increase, we multiply the current earnings by the percentage increase. In this case, the annual increase would be 2850 * 0.066 = $188.10.

2. Calculate the total increase over 2 years: Since the earnings are expected to increase by the same amount each year, we can multiply the annual increase by 2 to get the total increase over 2 years. In this case, the total increase would be 188.10 * 2 = $376.20.

3. Calculate the future earnings: To find the future earnings after 2 years, we add the total increase to the current earnings. In this case, the future earnings would be 2850 + 376.20 = $3226.20.

Therefore, based on the given information, you can expect to be making approximately $3226.20 in 2 years.

If you earn $2850 per month with an annual increase of 6.6%, in two years you will be making approximately $3239.40 per month.

If you are currently earning $2850 per month and expect your earnings to increase by 6.6% each year, then to calculate your earnings in 2 years, we need to take into account the compound interest formula which can be applied to salary growth as well. The formula to calculate the future value after a certain number of years is:

Future Value = Present Value x (1 + Rate of Increase)Number of Years

In this case, your Present Value is $2850, the Rate of Increase is 6.6% (expressed as a decimal, which is 0.066), and the Number of Years is 2.

Calculate the earnings for the first year: $2850 x (1 + 0.066) = $3038.10.

Then calculate the earnings for the second year: $3038.10 x (1 + 0.066) = approximately $3239.40.

Therefore, in two years, you would be making approximately $3239.40 per month.

A rectangular one-story house covers an area of 3,700 square feet. The ceilings are 8 feet high. The owners add a second floor to the house. The second floor is 50 feet long and 30 feet wide with ceilings that are 9 feet high. What is the total volume of the interior of the house?

Answers

The total volume of the interior of the house after adding a second floor is 43,100 cubic feet, calculated by summing the volume of the original one-story (29,600 cubic feet) and the second floor (13,500 cubic feet).

To calculate the total volume of the interior of the house after the addition of a second floor, we need to find the volume of both floors and add them together. The original one-story house covers an area of 3,700 square feet with ceilings 8 feet high. To find the volume, we multiply the area by the height of the ceilings:

Volume of first floor = Length * Width * Height = 3,700 ft^2 * 8 ft = 29,600 ft^3

The second floor is a bit smaller than the first floor, with dimensions of 50 feet by 30 feet and ceilings that are 9 feet high. So, the volume of the second floor is:

Volume of second floor = Length *Width*Height = 50 ft*30 ft *9 ft = 13,500 ft^3

Adding the two volumes together gives us the total volume of the house:

Total Volume = Volume of first floor + Volume of second floor = 29,600 ft^3 + 13,500 ft^3 = 43,100 ft^3

one less than three time n is seven

Answers

(3 x n) - 1 = 7

3 x n = 8

n = 8/3

n = 2.6666667

Answer:

n= 7/2x

Step-by-step explanation:



The product of 17 and 1.27 will have ____ decimal places.

Answers

Answer:

2

Step-by-step explanation:

Slope of y= 1/2x + 1

Answers

Answer:

1/2

Step-by-step explanation:

The slope of Y = 1/2x + 1 is 1/2.

In a typical equation, there are 4 parts: Y, M, X, and B (since an equation in standard form is Y = MX + B. Y and X are typically variables, unless you fill them in with coordinate points to solve for B. B is the Y intercept, or where the line crosses the Y axis, and M is the slope of the line.

Thus meaning 1/2 is the slope for the equation given.

I hope this helps!

 A jar contains only​ pennies, nickels,​ dimes, and quarters. There are 25 ​pennies, 21 ​dimes, and 29 quarters. The rest of the coins are nickels. There are 92 coins in all. How many of the coins are not​ nickels? If n represents the number of nickels in the​ jar, what equation could you use to find​ n?

Answers

Answer:  There are 75 coins that aren't nickels. One equation you could use is 75+n = 92

(This solves to n = 17 meaning there are 17 nickels)

=====================================================

Explanation:

"There are 25 ​pennies, 21 ​dimes, and 29 quarters", so there are 25+21+29 = 75 coins so far. This is the amount of coins that aren't nickels. The rest are nickels, which is some amount n. This adds to the 75 to get 75+n. Set this equal to 92 because there are 92 coins in all. That's how we end up with 75+n = 92.

-----

Extra info

The equation 75+n = 92 is the same as n+75 = 92. Subtract 75 from both sides to isolate n. You should get n = 17 after doing so.

Final answer:

To find the number of coins that are not nickels, subtract the number of nickels from the total number of coins. Alternatively, solve for 'n' by subtracting the known quantities of pennies, dimes, and quarters from the total number of coins.

Explanation:

To find the number of coins that are not nickels, we need to subtract the number of nickels from the total number of coins. Given that there are 92 coins in total and the number of nickels is represented by 'n', the equation to find the number of coins that are not nickels is 92 - n.

Alternatively, we can solve for 'n' by subtracting the known quantities of pennies, dimes, and quarters from the total number of coins. We know there are 25 pennies, 21 dimes, and 29 quarters. So, we have n = total number of coins - number of pennies - number of dimes - number of quarters = 92 - 25 - 21 - 29. Simplifying this equation gives us the value of 'n'.

A rhombus with four right angles

Answers

Answer: A rhombus with 4 right angles make a square

For which values of x is the expression undefined?
x

9
x
2
+
9
x
+
18
x
2
+9x+18

Answers

Answer:

[tex]19x+36[/tex]

Step-by-step explanation:

Other Questions
the defense that usually alleges that a law enforcement officer has planted false evidence, or has altered, substituted, or destroyed evidence, in an effort to convict the defendant of the crime charged is known as a A triangle has a base of 5 centimeters and a height of 8 centimeters.What is the area of the triangle?A. 10 cm2B. 13 cm2C. 20 cm2D. 40 cm2 It takes brothers John and Dan the same amount of time to clean the room they share, but John can mow the lawn faster than Dan. Which action would allow them to take advantage of their respective comparative advantages? The cell cycle is the Select one: a. series of events that cells go through as they grow and divide. b. period of time between the birth and the death of a cell. c. time from prophase until cytokinesis. d. time it takes for one cell to undergo mitosis. The rate of change in the number of bacteria in a culture is proportional to the number present. In a certain laboratory experiment, a culture has 10,000 bacterial initially, 20,000 bacteria at time t 1 minutes, and 100,000 bacteria at (t 1+10 ) minutes.a. In terms of t only, find the number of bacteria in the culture at any time t minutes, t 0b. How many bacteria were there after 20 minutes?c. How many minutes had elapsed when the 20,000 bacteria were observed? If two lemons from the same plant are cross-bred will the result be deformed? A bridge design firm is performing an economic analysis of two mutually exclusive designs for a highway overpass. The steel girder option has an initial cost of $2.04 million, and the concrete option has an initial cost of $2.52 million. Every 25 years, the steel bridge must be painted at a cost of $790,000, and all other maintenance costs are the same for both options. The steel bridge is expected to last 50 years, and concrete bridge is expected to last 75 years. Both are assumed to be identically replaced indefinitely. Based on the shortest acceptable analysis period for each option, determine the equivalent uniform annual cost (EUAC) for the best option using an interest rate of 7%. Express your answer in $ to the nearest $1,000. What are the relational operators? How are they used? Can anyone help me with this math and explain how you got it if you can? If not just the answer and the number to the question. Mike is walking down the street and notices an elderly female with shopping bags in both hands and her purse dangling from her wrist. After assessing the situation, he decides to grab her purse and run as there are few people on the sidewalk to slow his escape. Mike hopes to find cash in the purse so that he can buy food for his homeless family. If Mike is caught, arrested, and sent to a detention facility for his crime, what delinquency prevention strategy is being followed? Select one: a. Crackdown b. General deterrence c. Situational crime prevention d. Specific deterrence The children of ________ parents are better at soothing themselves when they get upset, are more effective in regulating their negative affect, focus their attention better, and have fewer behavior problems than the children of emotion-dismissing parents. the most important social bond element B. a positive self-concept, tolerance for frustration, and an ability to set realistic goals C. deviant norm and values may be learned from them D. assumes that criminal tendencies are learned from close friends, not from the mass media E. suggests delinquents are not constantly delinquent and instead move into and out of delinquency F. argues that aggressive tendencies are learned rather than inborn G. refers to the nature of the interaction and relationships within the family H. offers explanations that emphasize importance of parenting during childhood and adolescence on the likelihood of behavioral problems in young and older children alike I. the most influential control theory J. Gottfredson and Hirschi argued that all crime stems from a lack of this According to Pynchon, why is it best to read 1984 not as an allegory? Silicon carbide nanowires of diameter 15 nm can be grown onto a solid silicon carbide surface by carefully depositing droplets of catalyst liquid onto a flat silicon carbide substrate. Silicon carbide nanowires grow upward from the deposited drops, and if the drops are deposited in a pattern, an array of nanowire fins can be grown, forming a silicon carbide nano-heat sink. Consider finned and unfinned electronics packages in which an extremely small, 10 m 10 m electronics device is sandwiched between two 100-nm-thick silicon carbide sheets. In both cases, the coolant is a dielectric liquid at 20C. A heat transfer coefficient of 1.0 105 W/m2K exists on the top and bottom of the unfinned package and on all surfaces of the exposed silicon carbide fins, which are each 300 nm long. Each nano-heat sink includes a 50 50 array of nanofins. Determine the maximum allowable heat rate that can be generated by the electronic device so that its temperature is maintained at 95C for (a) the unfinned and (b) the finned packages Find the zeroes and give the multiplicity.f(x) = 4x4 + 8x3 + 4x2 An oblique prism has a base area of 3x2 square units.An oblique prism has a base area of 3 x squared square units. The base of the prism is a quadrilateral. The distance from the top quadrilateral to the bottom quadrilateral is 13. A right triangle is drawn outside of the prism and has the side with length 13 as its hypotenuse. The base length of the triangle is 5.What expression represents the volume of the prism, in cubic units? HELP PLEASE be QUICK Calculate H o rxn for the following: CH4(g) + Cl2(g) CCl4(l) + HCl(g)[unbalanced] H o f [CH4(g)] = 74.87 kJ/mol H o f [CCl4(g)] = 96.0 kJ/mol H o f [CCl4(l)] = 139 kJ/mol H o f [HCl(g)] = 92.31 kJ/mol H o f [HCl(aq)] = 167.46 kJ/mol H o f [Cl(g)] = 121.0 kJ/mol A spaceship flies from Earth to a distant star at a constant speed. Upon arrival, a clock on board the spaceship shows a total elapsed time of 8 years for the trip. An identical clock on Earth shows that the total elapsed time for the trip was 10 years. What was the speed of the spaceship relative to the Earth? Eastman Kodak reported that the cost of its PPE on December 31, 2010 was $6,805 million. On January 1, 2010, it had been $7,327 million. Also, the balance of accumulated depreciation on December 31, 2010 was $5,254 million. On January 1, 2010, it had been $5,516 million. Depreciation expense for the fiscal year 2010 was $420 million. During 2010, the company bought new equipment with acquisition cost of $254 million worth. The company also sold PPE and reported a $14 million gain on selling PPE. Questions: How much did Kodak sell its PPE for (sale price)?