write the expression in exponential from 7×7×7×7×7×7

Answers

Answer 1

Answer:

7^6

Step-by-step explanation:

7 to the power of 6

Answer 2

Answer: [tex]7^{6}[/tex]

Step-by-step explanation:

Exponential form denotes how many times a value is multiplied by itself.

This is 7 times itself 6 times, so it is written as 7 with a 6 in the top right corner.


Related Questions

What transformation has changed the parent function f(x) = (.5)x to its new appearance shown in the graph below? exponential graph passing through point 1, 2 and point 2, 1. (1 point) f(x) − 2 f(x + 2) f(x − 2) f(x) + 1

Answers

The transformation that has changed the parent function f(x) = (0.5)^x to the exponential graph passing through points (1,2) and (2,1) is given as follows:

f(x - 2).

How to define the transformation?

The parent function for this problem is given as follows:

f(x) = (0.5)^x.

Hence the points on the graph of the parent function are given as follows:

(-1, 2), as when x = -1, f(x) = (0.5)^(-1) = (1/0.5)^1 = 2.(0, 1), as when x = 0, f(x) = (0.5)^0 = 1.(1, 0.5), as when x = 1, f(x) = (0.5)^1 = 0.5.(2, 0.25), as when x = 2, f(x) = (0.5)² = 0.25.

The points on the transformed function are given as follows:

(1,2) and (2,1).

Meaning that the value assumed at x = -1 is now assumed at x = 1, while the value assumed at x = 0 is not assumed at x = 2, meaning that the function was shifted right two units, and the transformation is defined as follows:

f(x - 2).

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use the counting techniques from the last chapter. a bag contains two red marbles, three green ones, one fluorescent pink one, three yellow ones, and two orange ones. suzan grabs three at random. find the probability of the indicated event. she gets all the red ones, given that she gets the fluorescent pink one.

Answers

The probability of the indicated event is  1/110.

P(2red, pink) = P(2red, pink)/P (pink)

There are a total of 1 ways to get 2 red and pink, for a total of 1 possible triples. P(2red and pink) = 1/220 P(pink) = Number of ways to get 1 pink = 1*11*10 Number of potential triples = 220 P(1 pink in 3) = 110/220 = 1/2 ———-

P(2red | pink) = (1/220)/(1/2) = 2/220 = 1/110 ————————————————

Cheers,

Stan H.

How do you determine an event's probability?

To determine the likelihood, apply the procedure below: Find an event with a single result in Step 1. 2. Determine the total number of possible results. Step 3: Subtract the number of fortunate occurrences from the total number of potential outcomes.

How can I determine the suggested probability?

You can attempt to find the indicated probability using a variety of equations. The normal distribution model and the standard normal distribution are two techniques that you could choose to adopt since they are both frequently used to calculate suggested probability precisely.

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Two groups of runners leave the same locker room heading in opposite directions. Group A runs 4.6 miles due
east, then turns 40° toward north and runs 2.1 miles. Group B runs 4.6 miles due west, then turns 50° toward
south and runs 2.1 miles. Which group is farther from the locker room?

Answers

Using law of cosines, the group that is farther from the locker room is; Group B

How to use Law of Cosines?

The law of cosines gives that;

c² = a² + b² - 2ab cos C

Now, for group A, we can use law of cosine to find their current distance from the locker room as;

a² = 4.6² + 2.1² - 2(4.6*2.1)*cos 40°

a² = 21.16 + 4.41 - 14.8

a = √10.77

a = 3.28 miles

Similarly, for Group B, we have;

b² = 4.6² + 2.1² - 2(4.6*2.1)*cos 50°

b² = 21.16 + 4.41 - 12.42

b = √13.15

b = 3.63 miles

This means that group B is farther from the locker room

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(8) This is part of Dafydd's homework.
a )Explain what Dafydd has done wrong.
b )Write the correct answer.


Question
Round 39.47 to the nearest whole number.
Solution :
The 7 rounds the 4 up to a 5 so 39.47 = 39.5
Then the 5 rounds the 39 up to 40.
So, 39.47 40 (to the nearest whole number)

Answers

A. Dafydd has rounded the decimal value for no reason which is pointless. He has gone from left to right.
B. 39

$89.75 scooter; 7.25% tax

Answers

Answer:

$97

Step-by-step explanation:

Solve: Show your work

0.321 x 50

Answers

Answer:

.321× 50

000

+ 1605X

therefore answer is 1.605

you hold a spherical salad bowl 90 cm in front of your face with the bottom of the bowl facing you. the salad bowl is made of polished metal with a 40 −cm radius of curvature.

Answers

By taking out the distance, we know that the image of a 5.0 cm-tall nose is located at 39.29 cm.

What is the distance?

Distance is a measurement of how far apart two things or points are, either numerically or occasionally qualitatively.

The distance can refer to a physical length in physics or to an estimate based on other factors in common usage.

So, the equation to be used:

1 / f = 1 / p + 1 / q

The focal length of the metal salad bowl, which behaves like a mirror:

f = R / 2

f = 44/2

f = 22 cm

Suppose that the distance to the item is p = 50 cm, let's find the distance to the image:

1 / q = 1 / f  - 1 / p

1 / q = 1/22 - 1/50

1 / q = 0.0254

q = 39.29 cm

Therefore, by taking out the distance, we know that the image of a 5.0 cm-tall nose is located at 39.29 cm.

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Complete question:
You hold a spherical salad bowl 50 cm in front of your face with the bottom of the bowl facing you. The salad bowl is made of polished metal with a 44 cm radius of curvature.

Where is the image of your 5.0-cm-tall nose located?

Find the value of a for which v = [6 -10 4 a] is in the set H = span

Answers

The value of a for which v is a linear combination is given as follows:

a = -8.

How to obtain the value of a?

v will be a linear combination of the set H if it can be obtained as the solution of a system of equations from the set H.

From the vectors, the system is defined as follows:

-x = -1.2x - y = 4.5x + 4y - 3z = -6.-x + 3y - z = a.

From the first equation, the value of x is obtained as follows:

-x = -1

x = 1.

From the second equation, the value of y is obtained as follows:

2x - y = 4

2 - y = 4

y = 2 - 4

y = -2.

From the third equation, the value of z is obtained as follows:

5x + 4y - 3z = -6.

5 - 8 - 3z = -6

3z = 3

z = 1.

Then the value of a needed for the linear combination is of:

a = -x + 3y - z

a = -1 - 6 - 1

a = -8.

Missing Information

The problem is given by the image shown at the end of the answer.

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A store marks up winter wear 17%. Write two expressions equal to the retail price of an
item with an original cost of w dollars.

Answers

Answer:

w * (1 + 0.17) or w + (w * 0.17)

Step-by-step explanation:

Here are two expressions that represent the retail price of an item with an original cost of w dollars, assuming that the store marks up the price by 17%:

Retail price = w * (1 + 0.17)

This expression shows that the retail price is equal to the original cost multiplied by the markup percentage (0.17) plus 1. For example, if the original cost of the item is $100, the retail price would be $100 * (1 + 0.17) = $117.

Retail price = w + (w * 0.17)

This expression shows that the retail price is equal to the original cost plus the markup amount (which is equal to the original cost multiplied by the markup percentage). For example, if the original cost of the item is $100, the retail price would be $100 + ($100 * 0.17) = $117.

Natalie is using Triangle Tiles to create a design. She finds two congruent scalene triangles, flips one over, and places two vertices together that have the same angle, as shown.
If (equation shown in the picture), what is the value of x?

Answers

The value of x in the triangle is 70°

How to find the value of x in the triangle?

Given:

the equation m<A + m<B = 130°

We know that:

m<A + m<B + m<C = 180° (sum of angles in a triangle)

Since m<A + m<B = 130°, we have

130° + m<C = 180°

m<C = 180° - 130°

m<C = 50°

Considering the middle triangle, let the unlabeled angle be y:

m<C + m<C + y + 40° = 180° (sum of angles on a straight line)

50 + 50 + y + 40 = 180°

y = 180° - 140° = 40°

x + x + y = 180° (sum of angles in a triangle)

2x + y = 180°

2x + 40° = 180°

2x = 140°

x = 140/2

x = 70°

Thus, the value of x is 70°

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at a gas station, lora took 1/6 minute to fill 3/5 gallon of gas. at this rate, how many gallons of gas could lora fill in 1 minute?

Answers

Lora could fill 3 and 3/5 gallons of gas in 1 minute

The number of gallons of gas that Lora can fill in 1 minute will be 18/5 or 3.6 gallons.

What are ratio and proportion?

A ratio is a group of sequentially ordered numbers a and b expressed as a/b, where b is never equal to zero. When two objects are equal, a statement is said to be proportional.

The rate is the ratio of the amount of something to the unit. For example - If the speed of the car is 20 km/h it means the car travels 20 km in one hour.

At a gas station, Lora took 1/6 minute to fill 3/5 gallons of gas. And we know that the ratio will remain constant.

Let 'x' be the number of gallons. Then the amount of gallons in each minute is calculated as,

(3/5) / (1/6) = x / 1

Simplify the equation, then we have

(3/5) / (1/6) = x / 1

(3/5) × 6 = x

x = 18 / 5

x = 3.6 gallons

The number of gallons of gas that Lora can fill in 1 minute will be 18/5 or 3.6 gallons.

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if the slope and a point of a line are given, then the equation of the line can be written in point-slope form. truefalse

Answers

The slope and a point of a line are given then the equation of a line can be found. So the answer is true.

The equation of a line:

The equation of a line means an equation in x and y whose solution set is a line in the (x,y) plane. The most popular form in algebra is the "slope-intercept" form. y = mx + b. This in effect uses x as a parameter and writes y as a function of x: y = f(x) = mx+b.

Here we have to get to know if the slope and a point on a line are given then we can find the equation of a line or not.

Let us assume m is the slope of a line and (x1, y1) is the point on a line.

By this, we get the equation:

y- y1 = m( x - x1)

Therefore from the slope and a point on a line, we can find the equation of a line.

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please help me slove these problems!! offering 30 points for good answers and explanation on it

Answers

here's two, I used mathday but day with a w

Step-by-step explanation:

good website for it and it gives good explanation! Gl

if the school district wants to award the school that has the most consistent attendance among its students, which high school should it choose and why? justify your answer mathematically. (5 points) part b: if the school district wants to award the school with the highest average attendance, which school should it choose and why? justify your answer mathematically.

Answers

The best attendance is at School W, according to a The highest average attendance is at School W, according to b.

Explained step-by-step

According to a, the school with the least amount of volatility in its data will be the most reliable.

It's only the least inconsistent among its own data; consistent doesn't necessarily indicate the best. Because variance indicates how dispersed the data is, the school with the lowest variance is the most reliable.

For an explanation of how each school's deviations were determined, see photo 1.

Take each school's mean as b. Whichever is higher in value is the school with the highest average.

For the computations of the means for each school, see photo 1. (Since the mean is used to determine variance, we will start with this step.)

Why enroll at a secondary institution?

These are the justifications for our secondary school selection. Our top consideration while selecting a secondary school is: A Journey Like when we looked at elementary schools, I want my kids to attend a secondary school that they can walk to. Due to this factor, we are left with only two institutions to choose from when ranking schools on the application form.

What motivates your desire to select a college or university?

You might not have much work experience for interviewers to talk about as a recent graduate or candidate for an entry-level employment. Similar insights into your career aspirations and personal interests can be gained from selecting a college or university.

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Need help answering this question

Answers

Speed is the ratio of distance and time.

It shows how fast an object is moving at a given time.

The rate of change of the distance below the sea level with respect to time is 11 feet per second.

What is speed?

Speed is the ratio of distance and time.

It shows how fast an object is moving at a given time.

We have,

The table has a linear relationship.

We can choose two data from the table.

At time = 15,

Distance below the sea level = 545 feet.

At time = 27,

Distance between the sea level = 677

Now,

The rate of change of the distance below the sea level with respect to time.

Slope:

= (677 - 545) / (27 - 15)

= 132 / 12

= 11 feet per second

Thus,

The rate of change of the distance below the sea level with respect to time is 11 feet per second.

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The rate of change of distance for the submarine is given by 11 feet/sec.

How to find the slope for two given points?

In order to find the slope between two points (x₁, y₁) and (x₂, y₂), take the ratio of the difference of the respective coordinates as (y₂ - y₁)/(x₂ - x₁).

Given that,

The table for distance travelled versus time taken for a submarine.

In order to find the slope, take two values of distance and time from the given table as  380 feet at t = 0 and 545 feet at t = 15.

Now, the slope can be found as,

slope = (545 - 380)/(15 - 0)

         = 165/15

         = 11

Hence, the rate of change of distance below sea level with respect to time is given as 11 feet/sec.

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At the first school , there were 5 Sixth graders for every 2 seventh graders. At the second school dance, there were 7 sixth graders for 8 seventh graders . Are the ratios of sixth to Seventh on graders at both school dance equivalents. Explain

Answers

Answer:

No

Step-by-step explanation:

The ratio of the first school is 5/2. The ratio of the second school is 7/8.

Lawson planted a tree when it was 14 inches tall and it will grow 3 inches per year. Ezra planted a tree when it was 8 inches tall and it will grow 5 inches per year. Determine how many years it will take for the trees to be the same height. Thanks

Answers

Answer: 3 years.
Explanation:
y = number of years
3y+14 = 5y+8
Subtract 3y from both sides.
14 = 2y+8
Subtract 8 from both sides.
6 = 2y
Divide by 2 on both sides to solve for y.
y = 3

Notice the two points in the coordinate plane. Which answer choice is closest to the distance between the two points?
(ignore my answer, I didn't mean to click on it)

Answers

Answer:

i think 7

Step-by-step explanation:

you cant go diagonal and count it as one unit. however doing stairs up to the second point gets you 7 units

For which of the following equations are x = 5 and x = -5 both solutions (a) x² - 25 (b) x-5 (c) x+5 (d) x²+25

Answers

Answer:

 option (a)  x*2-25

Step-by-step explanation:

With the help of the given roots of the equation, we can determine the factors of the polynomial. By multiplying the factors among themselves we will get the needed equation.

The roots are given as x = 5, x = -5.

Also the factors of the equation can be written as( x- 5) and( x 5)

On multiplying the factors among themselves we get the needed equation

Hence, the needed equation will be( x- 5) ×( x 5)

= x ²- 25

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sky won a total of 480 tickets at the arcade. she choose a stuffed animal and wants to redeem her remaining tickets on sticky hands. Which represents the possible number of sticky hands she can choose?

Answers

The answer is 240 sticky hands. This is because each sticky hand costs 2 tickets, so if she has 480 tickets, she can buy 240 sticky hands.

What is cost?

Cost is the amount of money that is required to purchase, use, or produce something. It is an economic measure of the value of goods, services, or resources. Cost is typically associated with the purchase of goods and services and can include both the monetary and non-monetary costs associated with the acquisition. For example, when buying a car, the cost is the money spent on the purchase plus any additional costs such as taxes, registration fees, and insurance. Non-monetary costs can include the time and effort invested in researching and shopping for the car, as well as the opportunity cost of not using the money for something else.

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Find the sum.
(9-6m) + (12m - 8)

Answers

Answer:

Step-by-step explanation:

the answer is (6m+1). Hope i helped :)

You would like to know how effective a diet program is at helping people lose weight. 18 over-weight people are randomly selected to participate in the program. They are weighed before and after the program and the results are listed below. Do these results give evidence that the diet program is effective at the 1% significance level? Participant 1 2 4 5 6 Before 185 220 190 158 227 211 After 175 215 195 155 230 207 Participant | 7 ー 19 | 10 |11 | 12 | Before 260 156 201 300 180 270 Afer 258 159 201 290 172 272 Participant 13 14 15 16 17 18 Before 293 183 |205 151 291 166 After 290 185 200 146 287 166

Answers

The claim that a drug is effective at 1% is not sufficiently supported by the available data.

Participant 1 2 3 4 5 6

Before 185 220 190 158 227 211

After 175 215 195 155 230 207

Difference = Before - After = 10 5 -5 3  -3 4

Participant 7 8 9 10 11 12

Before 260 156 201 300 180 270

After 258 159 201 290 172 272

Difference = Before - After = 2 -3 0 10  8 -2

Participant 13 14 15 16 17 18

Before 293 183 205 151 291 166

After 290 185 200 146 287 166

Difference = Before - After = -7 -2 5 5  4 0

Hypothesis :

H0 : μd = 0

H0 : μd ≠ 0

10+5-5+3-3+4+2-3+10+8-2+3-2+5+5+4+0 = 44

The mean of d, [tex]d`[/tex] = Σd / n = 44 / 18 = 2.44

The standard deviation, S.d = 4.45 (using calculator)

The test statistic, T : [tex]d`[/tex] / (S.d/√n)

T = 2.44 / (4.45/√18)

T = 2.44 / 1.0488750

T = 2.326

Degree of freedom, df = n - 1 ; 18 - 1 = 17

P value = 0.0326

α = 0.01

Since P value < α ; we fail to reject H0

So the claim that a drug is effective at 1% is not sufficiently supported by the available data.

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How many eighth notes equal a half note?

Answers

Answer:four eighth notes

Step-by-step explanation:

Math question
finding the slope

Answers

Answer:

y-intercept: -1

Step-by-step explanation:

The equation is y = mx + b

In this case, the y-intercept is -1

-1 is an integer, so my answer is correct!

Answer:

Slope: 1/3, [tex]y[/tex]-intercept: -1

Step-by-step explanation:

The [tex]y[/tex]-intercept of the line with equation [tex]y=mx+b[/tex] is [tex]b[/tex]. The slope is [tex]m[/tex].

if the probability that a certain tennis player will serve an ace is 1 4 , what is the probability that he will serve exactly four aces out of seven serves? (assume that the seven serves are independent. round your answer to four decimal places.)

Answers

The probability that he will serve exactly four aces out of seven serves is 5.7 %.

Given :

if the probability that a certain tennis player will serve an ace is 1 / 4 .

If we let p stand for the probability of a succes, then p = 1/4, and ( 1 - p ) = 3/4.  (1-p) is the probability that he will NOT serve an ace.

Formula  for probability:

P (m successes in n trials) = ( nCm ) * p^m * ( 1 - p )^( n - m ).

= 7C4 * ( 1/4 )^4 * ( 3/4 )^( 7 - 4 )

= 7! / ( 7 - 4 )! 4! * 1/256 * 27/64

= 7 * 6 * 5 / 3 * 2 * 1 / 256 * 27/64

= 35/256 * 27/64

= 945/16384

= 0.057

= 0.057 * 100 %

= 5.7 %

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Any help would be appreciated

Answers

The values for a and b in the expression for the area of the rhombus, a·√b, where the area of the regular hexagon that forms the rhombus that has an area of 24·√3, are; a = 8, b = 3

a + b = 8 + 3 = 11

What is a rhombus?

A rhombus is a quadrilateral in which the length of the each of the four sides are the same.

Coprime integers integers are two integers that have 1 as their only common divisor

The area of the hexagons = 24·√3

The formula for the area of regular  hexagon, A = 3·√3×s²/2

Where;

s = The sider length of the regular hexagon

Therefore; 24·√3 = 3·√3×s²/2

The division property indicates that dividing booth sides of the above equation by √3, we get;

24 = 3×s²/2

2 × 24/3 = s²

16 = s²

s² = 16 (symmetric property)

s = ±√(16) = ±4

The possible value for the side length of the regular hexagon is +4

The formula for the area of a rhombus = s²·sin(θ)

Where;

θ = The interior angle of a regular hexagon = 120°

Therefore; A = 4² × sin(120°) = (16 × √3)/2 = 8·√3

Therefore; a·√b = 8·√3

a = 8, b = 3

a + b = 8 + 3 = 11

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How do you simplify the expression (1−sin^2x)cosx ?

Answers

On simplifying the trigonometric expression [tex](1-sin^2x)cosx[/tex]  we get  [tex]cos^3x[/tex].

there are many ways to simplify trigonometric expressions. The simplest one is to use trigonometric identities.

                                                  [tex](1-sin^2x)cosx[/tex]

now, accordingly, we use the following identity of trigonometry to simplify

                                               [tex]sin^2x+cos^2x=1\\\\[/tex]

subtract sin^2x on both sides of this trigonometric identity we get

                                      [tex]sin^2x-sin^2x+cos^2x=1-sin^2x[/tex]

so by canceling similar terms from the left side we get

                                              [tex]1-sin^2x=cos^2x[/tex]

so by putting it in the first expression we get  

                                              [tex](1-sin^2x)cosx[/tex][tex]=cos^2x(cosx)[/tex]

finally, we get

                                                                          [tex]=cos^3x[/tex]

so by simplifying the trigonometric expression [tex](1-sin^2x)cosx[/tex]   using trigonometric identities we get  [tex]cos^3x[/tex].

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What is the common ratio of the sequence below?
2/3, 1/6, 1/24, 1/96,…

1/9
1/4
4
9

Answers

I think it’s 1/4
Reason = 2/3x1/4=1/6
Also 1/6x1/4=1/24
Also 1/24x1/4=1/96

So I think it’s 1/4

Hope this helps

in huffman encoding if all the letters have the same frequency then they have equal code lengths. true or false g

Answers

If all the letters have the same frequency then they have may or may not be  equal codes.

What is Huffman encoding?

A lossless data compression algorithm is Huffman coding. Input characters are given variable-length codes, the lengths of which are determined by the frequency of the matching characters.

The variable-length codes (bit sequences) assigned to input characters are Prefix Codes, which indicates that no other character will have a code that is the prefix of the code assigned to that character. This is how Huffman Coding ensures that the produced bitstream cannot contain any ambiguities during decoding.

Let's use a counter example to better grasp prefix codes. Assume that the four characters a, b, c, and d have the variable length codes 00, 01, 0 and 1, respectively. Because the code assigned to c is the prefix of the codes assigned to a and b, this coding causes uncertainty. If the bit stream being compressed is 0001, the decompressed output might be "cccd," "ccb," "acd," or "ab."

In huffman coding, if two nodes have the same frequency, they are considered to be identical for compression reasons, therefore you can select either one and gain an equal amount of compression.

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A smoothie recipe calls for 2 1\4 cups of frozen mango if the recipe serves two how many cups of frozen mango is needed the serve one

Answers

Answer: 1 1/8

Step-by-step explanation:

1/4 in half is equivalent to 1/8

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What is Metalworking? Beginners Guide To Working With Metal PLS HELP!Which of the following are square roots of the number below? Check all thatapply.9A. -3B. 81C. 3D. 18OE. -9 1/2OF. 9 1/2 which of the following is an inaccurate statement about dissociative disorders HELP ME QUICICICKCKC clark increased its debt ratio, which the firm's treasurer thinks is feasible, by how much could the HELPPPPPPPP PLEASE HELP ME EEEEEE Which of the following would be against the Constitution? A.) congress declares war on a country,And the president sends troops. B.) Canada and the united states meet to create a new trade agreement C.) Connecticut voters select two senators to represent them in congress D.) California begins to coin and print currency for use within the state. what are the solutions of the equation x4 95x2 500 = 0? use factoring to solve. and x = 10 and x = 10i and x = 10i and x = 10 hich of the following statements regarding alcohol use in the United States is true? A. About 40 to 45 percent of adults who drink are considered heavy drinkers. B. About 90 percent of adults drink alcohol. C. About 25 to 30 percent of adults call themselves abstainers. D About 50 percent of college students drink alcoholic beverages Which of the following is NOT part of the definition of a nation-state?A. the population shares a common cultural experienceB. There is a common political authorityC. The political authority is recognized as legitimate by other sovereigntiesD. Most of the population belongs to the same political party How does the structure of the body of the Declaration of Independence supportJefferson's purpose?A. In three paragraphs, Jefferson explains why the colonies are justified indeclaring independence.B. A short list explains how the new government will protect the people.C. A long list shows how King George has harmed the colonies.O D. A declarative paragraph explains the rights of human beings and theresponsibilities of governments.SUBMIT given an ofstream object named output, associate it with a file named yearsummary.txt by opening the file for appending. Lipids stored in adipose cells are released into the blood in the form of _______________ and transported in the blood bound to or part of ________________?A. Fatty acids; albuminB. Fatty acids; chylomicronsC. Fatty acids; apolipoproteinsD. Triacylglycerides; albuminE. Triacylglycerides; chylomicronsF. Acetyl-CoA; albuminG. Acetyl-CoA; apolipoproteins write conclusion about grassroots of bilharzia Select all the correct answers.Which four of the following are true about fair use?involves use of copyrighted material without the owner's permissionis exempted from copyright lawsdepends on the character of use of the copyrighted materialdoes not require attributiondepends on the purpose of use of the copyrighted material Plenitude Premier Solutions (PPS) is registered in State C. If PPS wished to maintain custody of client funds or securities, many companies use ____ to connect two or more private networks over a public network, such as the internet. Glacier Bay in Alaska is a fjord whose lowlands were covered by glacial ice until around 230 years ago. As the glacier retreated, it left behind sediment that was exposed to plant colonization; remarkably (and fortunately for generations of ecologists), the location of the tip of the retreating glacier has been frequently documented since the late 1700s. This means that scientists have been able to develop a detailed timeline of the changes in the plant community, or _____ in Glacier Bay over time.A. niche diversificationB. niche divergenceC. competitive exclusionD. ecological successionE. None of the answer options is correct.D. ecological succession Which of these was one of the most important aspects of washington's presidencyA. he did not consider how his actions would affect later presidentsB. he came to believe that political parties would be good for the country.C. he insisted that congress make specific rules about the duties of the presidentD. he did not take advantage of the opportunity to keep the power the country offered him. The French salon, center of intellectual debate, was often organized by a. noblewomen. b. artisans. c. priests. d. government officials.