A city block is 3 times as long as it is wide. If the distance around the city block is 16.8 kilometers, what is the area of the city block?

Answers

Answer 1

The area of the city block is 13.23 kilometers².

How to calculate the area?

The city block is 3 times as long as it is wide. In this case, the width can be represented by w. The length will be 3w.

Therefore, perimeter will be:

= 2(length + width)

= 2(3w + w) = 16.8

8w = 16.8

Divide

w = 16.8 / 8

w = 2.1

Length = 3w = 3 × 2.1 = 6.3km

The area will be:

= Length × Width

= 6.3 × 2.1

= 13.23km²

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Answer 2

Answer:

The area of the city block is 13.23 kilometers².

Step-by-step explanation:


Related Questions

ASAPPPPP PLEASE HELPPP!!!!!!!!!!
Between 50 and 100 books are stored on a shelf. Exactly 20 percent of them are textbooks. Exactly one-seventh of them are novels. Can the exact number of books on the shelf now be determined? Why or why not?

Answers

Answer:

no

Step-by-step explanation:

the percentage has nothing to do with how many of them there are, forgive me if im wrong

The exact number of books on the shelf cannot be determined based on the information given.

What is an expression?

An expression is a grouping of one or more mathematical or logical operators, operands (values, variables, or other expressions), and brackets in mathematics and computer programming that denote a computation that can be evaluated to generate a value.

We know that between 50 and 100 books are stored on a shelf, so let's assume the number of books is some integer value between 50 and 100, inclusive. Let's call this value "n".

Exactly 20% of the books are textbooks, which means there are 0.2n textbooks on the shelf.

Exactly one-seventh of the books are novels, which means there are (1/7)n novels on the shelf.

We know that n, 0.2n, and (1/7)n are all integers because they represent whole numbers of books. We can write this as:

n = a

0.2n = b

(1/7)n = c

where a, b, and c are integers.

From the second equation, we know that 0.2n is a multiple of 1/10. From the third equation, we know that n is a multiple of 7. Therefore, we can rewrite these equations as:

n = 10b

n = 7c

Since n is equal to both 10b and 7c, we know that n must be a multiple of the least common multiple of 10 and 7, which is 70.

So, n must be a multiple of 70, and therefore must be one of the integers 50, 70, or 90. However, we cannot determine which of these three values is the correct one based on the information given, because all three satisfy the conditions in the problem:

If n=50, then 20% of the books (i.e., 10 books) are textbooks, and 1/7 of the books (i.e., 7.14 books, which we round down to 7) are novels.

If n=70, then 20% of the books (i.e., 14 books) are textbooks, and 1/7 of the books (i.e., 10 books) are novels.

If n=90, then 20% of the books (i.e., 18 books) are textbooks, and 1/7 of the books (i.e., 12.86 books, which we round down to 12) are novels.

Therefore, the exact number of books on the shelf cannot be determined based on the information given.

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Question 1 (1 point) Saved Is the following statement True or False? We want to use the formula A = ½ab(sin(C)). Consider an obtuse triangle ABC. We know the lengths of a,b and c. but only know the angle for B. Are we are still able to use this formula? True False​

Answers

Answer:

1). True

2). x = 16.4 m^2

3). A = 24, h = 4

4). A = 18.39

5). 162

Step-by-step explanation:

I took this quiz on K12 and got everything correct! Brainliest welcome! :)

You owe $46,212.35 on a student loan that carries an APR of 6.9%. You place the loan into forbearance for 5 years. How much do you owe on the loan when it comes out of forbearance?

Answers

You owe on the loan is $64512.90

Given,

In the question:

You owe $46,212.35 on a student loan that carries an APR of 6.9%. You place the loan into forbearance for 5 years.

To find the how much do you owe on the loan when it comes out of forbearance?

Now, According to the question:

Based on the given conditions,

Formulate;

You owe $46,212.35 on a student

Interest is 6.9%

46212.35 x (6.9% +1)^5

Evaluate the equation/expression:

64512.90

Hence, You owe on the loan is $64512.90

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A 2 1/2 foot by 8-foot concrete wall is to be built using concrete blocks. Find the area of the wall.

Answers

20   foot² is  the area of the wall.

What does a math area mean?

The amount of space occupied by a flat (2-D) surface or an object's shape is known as its area. On a sheet of paper, use a pencil to create a square. It has two dimensions. Its Area refers to the area that the shape occupies on the paper. Consider your square as being composed of smaller unit squares.

Length of concrete wall = [tex]2\frac{1}{2}[/tex] foot

Breadth of concrete wall = 8 foot

Since, area means product of dimensions so we use the formula mentioned below:

Area of the concrete wall = length× breadth

                                          = [tex]2\frac{1}{2}[/tex]  * 8

                                           = 5/2  * 8

                                            =  5 * 4 = 20 foot²

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Classify the following number: 4. Choose all that apply.

Answers

Answer: real number, integer, whole number, rational #

Step-by-step explanation:

Look at a chart about rational numbers vs irrational numbers.

Write the expression as a power and evaluate it. 8•2^7 and 16•32
The expression as a power is ____

Answers

The expression as a power is 2^10 and 2^9

What is index form?

Index form of a number can be defined as the number that is written in the form of an exponential expression.

It is also described as a single number that is raised to another variable or number.

It is important to note the following index forms with base of 2, we have;

2^1 = 22^2 = 42^3 = 82^4 = 162^5 = 322^6 = 64

We have the expression as;

8•2^7

Substitute the values

2^3 . 2^7

Add the powers

2^3 + 7

2^10

16•32

Substitute the values

2^4 . 2^5

Add the powers

2^ 4 + 5

2^9

The expression is written as; 2^ 10 and 2^9

Hence, the values are 2^10 and 2^9

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how are the zeros of a polynomial function related to the equation and graph of a function

Answers

The way that zeros of a polynomial function is related to the equation and graph of a function because they act as solutions to the equation and also x-intercepts of a graph.

What graphing relationship does a zero have?

When the quadratic equation's graph crosses the x-axis, those points are known as the zeros of the equation.

The graph's x-intercepts and a function's zeros are the same thing. If the zero of f has an odd multiplicity, the graph of f will cross the x-axis at that x value. The x-axis will be touched by the graph of f if it has an even multiplicity zero.

Hence, A polynomial's zeros are the answers to any equation such as p(x) = 0, where p(x) stands for the polynomial. Since the values of x where y = 0 if we graph this polynomial as y = p(x). In other words, these are the graph's x-intercepts.

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Given g(x) = −2x^2 + 3x + 20, find g(0), g(−2.5), g(4), g(0.75), g(20)

Answers

The functions g(0) = 20, g(−2.5) = 0, g(4) = 0, g(0.75) = 21.125, g(20) = -720 as a result of the mapping with the function g(x) = −2x² + 3x + 20

What is a function?

A function is a mapping whose codomain is the set of real numbers. It can also be defined as a relation from a set of inputs to a set of possible outputs where each input is related to exactly one output.

From the function g given as g(x) = −2x² + 3x + 20, by careful mapping we have the following;

put 0 for values of x

g(0) = -2(0)² + 3(0) + 20

g(0) = 20.

put -25 for values of x

g(-25) = -2(-25)² + 3(-25) + 20

g(-25) = -12.5 - 7.5 + 20

g(-25) = 0

put 4 for values of x

g(4) = -2(4)² + 3(4) + 20

g(4) = -32 + 12 + 20

g(4) = 0

put 0.75 for values of x

g(0.75) = -2(0.75)² + 3(0.75) + 20

g(0.75) = -1.25 + 2.25 + 20

g(0.75) = 21.125

put 20 for values of x

g(20) = -2(20)² + 3(20) + 20

g(20) = -800 + 60 + 20

g(20) = -720

Therefore, by proper mapping of the function g(x) = −2x² + 3x + 20, we derived g(0) = 20, g(−2.5) = 0, g(4) = 0, g(0.75) = 21.125, and g(20) = -720.

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Answer:

g(0) = 20

g(-2.5) = 0

g(4) = 0

g(0.75) = 21.125

g(20) = -720

Step-by-step explanation:

Hello!

We can evaluate each value by plugging the value inside the parenthesis into x in the equation [tex]-2x^2 + 3x + 20[/tex].

Evaluateg(0)g(0) = -2(0)² + 3(0) + 20g(0) = -2(0) + 0 + 20g(0) = 0 + 0 + 20g(0) = 20g(-2.5)g(-2.5) = -2(-2.5)² + 3(-2.5) + 20g(-2.5) = -2(6.25) - 7.5 + 20g(-2.5) = -12.5 - 7.5 + 20g(-2.5) = -20 + 20g(-2.5) = 0g(4)g(4) = -2(4)² + 3(4) + 20g(4) = -2(16) + 12 + 20g(4) = -32 + 12 + 20g(4) = -20 + 20g(4) = 0g(0.75)g(0.75) = -2(0.75)² + 3(0.75) + 20g(0.75) = -2(0.5625) + 3(0.75) + 20g(0.75) = -1.125 + 2.25 + 20g(0.75) = 1.125 + 20g(0.75) = 21.125g(20) g(20) = -2(20)² + 3(20) + 20g(20) = -2(400) + 60 + 20g(20) = -800 + 60 + 20g(20) = -740 + 20g(20) = -720

The values are, in order, 20, 0, 0, 21.125, and -720.

41 is 10 1/4% of what number

Answers

By the concept of percentage, 41 is [tex]10\frac{1}{4}[/tex] % of the number 400.

What is meant by percentage?

The percentage is a comparative figure denoting one-hundredth of any quantity. One percent (symbolized as 1%), being the hundredth component, is represented as 100 percent, while 200 percent signifies twice the amount specified. Percent is derived from the Latin word per centum, which means "by the hundred." In the 16th century, the Latin expression was adopted by English. Later, it was shortened to % with a period in the end. The present one-word form % was created after the period was eliminated and the two elements were combined. In essence, percentages are fractions with a denominator of 100. The percent symbol (%) is placed next to a number to indicate that it is a percentage.

Let the number be x.

Then, according to the question

[tex]10\frac{1}{4}[/tex] can be written as 41/4

So,

41/400 × x = 41

41 x = 41 ×100

x =400

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I want the answer please please

Answers

The distance between 2 cities I think the first one
It is the the distance traveled between the two cities
because that rate is constantly changing whereas the others are stable for the most part

Kepteo can cultivate a piece of land in7hrs. While wanjiku can do the same work in 5 hrs . Find the time they will take to cultivate the piece of land when working together

Answers

The time is 2 our 55 minutes when they will take to cultivate the piece of land when working together.

What is mean by Fraction?

A fraction is a part of whole number, and a way to split up a number into equal parts.

Or, A number which is expressed as a quotient is called fraction.

It can be written as the form of p : q, which is equivalent to p / q.

Given that;

Kepteo can cultivate a piece of land in 7 hr.

Wanjiku can do the same work in 5 hr.

Now,

Since, Kepteo can cultivate a piece of land in 7 hr.

Hence, Kepteo make work in 7 h

So, In 1 hour kepteo work = 1/7

And, Since, Wanjiku can cultivate a piece of land in 5 hr.

Hence, Wanjiku  make work in 5 h

So, In 1 hour Wanjiku work = 1/5

Thus, They make with together = 1/7 + 1/5

                                                = 12/35

Hence, When they working, they make = 12/35 work per hour

So, They need number of hour to working together = 35/12 hour

                                                                               = 2 hour 55 minutes.

Thus, The time is 2 our 55 minutes when they will take to cultivate the piece of land when working together.

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If a plant grows 15 cm in 3 hrs. Determine which expression correctly represents a unit rate for the situation.

Answers

The unit rate of the plant growth is 5cm per hour

How to calculate the unit

The unit rate refers to amount the plant will grow 1 hour

from the relationship

15 cm = 3 hours

? cm = 1 hour

cross multiplying

3 * ? = 15 * 1

? = 15 / 3

? = 5 cm

The plant's unit rate of growth is 5cm per hour

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i bet u cant solve it

Answers

For the given pair of parallel lines AG and BH , CF is the transversal then ∠ADE and ∠BEF are corresponding angles.

As given in the question,

Given :

Pair of parallel lines are AG and BH.

CF is the transversal.

Transversal CF intersect line AG at point D and

Transversal CF intersect line BH at point E

Four pair of corresponding angles

Two pair of alternate interior angles

Corresponding pair of angles in the pair of parallel lines are congruent.

∠ADE ≅ ∠BEF

∠ADE and ∠BEF are corresponding angles.

Therefore, for the given pair of parallel lines AG and BH , CF is the transversal then ∠ADE and ∠BEF are corresponding angles.

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Who wants brainliest? First right answer first serve

Answers

Step-by-step explanation:

i marked where to put them

You might need: Calculator
Solve for a.
Reduce any fractions to lowest terms. Don't round your answer, and don't use mixed fractions.
4x +49x+8

Answers

Answer: 53x+8

Explanation:

Collect like terms by adding their coefficients (4+49)x +8
Add the numbers 53x+8
Hope this helps:)

-268=-6(-6-6k)+2k

k= ???

Answers

Answer:

k = - 8

Step-by-step explanation:

- 268 = - 6(- 6 - 6k) + 2k ← distribute parenthesis by - 6

- 268 = 36 + 36 k + 2k ( subtract 36 from both sides )

- 304 = 38k ( divide both sides by 38 )

- 8 = k

What must be added to 3/8 to make a whole?​

Answers

Answer:1/2

Step-by-step explanation:

How do I calculate the area and perimeter of this triangle?

Answers

Step-by-step explanation:

to find the perimeter first:

13×3=39

13×3=39

5×3=15

5×3=15

39+39+15+15=108

P=108

i hope it's useful

help me pleasseeee please help please help urgent

Answers

Answer: number 3

explanation: I took the

if Julie average arts test score at 85 and what would you predict her average math test score would be ​

Answers

1. Her Average would be 80

2. Yes, there are more dots around points 80.

If four people equally share a 1/2 page to 3/4page.what fraction of the page in the photograph

Answers

The fraction of page in the photograph is 3/32.

What are fractions?Any number of equal parts is represented by a fraction, which also represents a portion of a whole. A fraction, such as one-half, eight-fifths, or three-quarters, indicates how many components of a particular size there are when stated in ordinary English.Proper fractions are those in which the numerator value is less than the denominator value. as in 7/9 and 8/10. Improper Fraction - A fraction is deemed improper if the numerator value exceeds the denominator value. Example: 6/5 and 11/10.

So, the fraction of the page in the photograph:

We know that,

The fraction of the page is 1/2.4 people share as 3/4.

Now, calculate as follows:

(1/2 ÷ 4) × 3/41/2 × 1/4 × 3/41/8 × 3/43/32

Therefore, the fraction of page in the photograph is 3/32.

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Answer:

=3/32

Step-by-step explanation:

(1/2÷4)*3/4

1/2*1/4*3/4

1/8*3/4

There-For The Answer Is:

=3/32

MARK AS BRAINLIEST ANSWER

Timothy plans to add a railing parallel to a flight of stairs that goes down to the basement in his house. Each step has the dimensions shown in the sketch.



What will be the length of the railing?

Answers

The length of the railing is 105.81 inches.

Given,

The stair has 7 steps

The rise of each step = 8.5 inches

The tread of each step = 12.5 inches

Slope of each step = x

We have to find the length of the railing.

Length of railing = 7x

Then,

Slope of step, x can be determined using Pythagorean theorem.

Let rise be the height of the right angled triangle and tread be the base of the triangle

Then,

Hypotenuse= Slope, x  = [tex]\sqrt{Rise^{2} + Tread^{2} }[/tex]

x = [tex]\sqrt{8.5^{2}+ 12.5^{2} }[/tex]

x = [tex]\sqrt{72.25 + 156.25}[/tex]

x = √228.5

x = 15.12 inches

That is,

The slope, x of one step is 15.12 inches

Now,

Length of the railing = 7x = 7 × 15.12 = 105.81 inches

Therefore,

The length of the railing is 105.81 inches.

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State whether the simplification below is true or false 5^-2=1/25

Answers

Answer:

true

Step-by-step explanation:

5^ -2

(1/5)^2

1/25

Answer:

That's true :

5^-2= 1/5^2= 1/25

so yes : 5^-2=1/25

Step-by-step explanation:

David and his children went into a grocery store and he bought $7.50 worth of apples and bananas. Each apple costs $0.75 and each banana costs $0.50. He bought 5 more bananas than apples. By following the steps below, determine the number of apples, x, and the number of bananas, y, that David bought.
DETERMINE THREE WAYS TO HAVE 5 MORE BANANAS THAN APPLES​

Answers

Answer:

Let the number of apples and bananas bought be x and y respectively.

x + 5 = y ------ equation (1)

0.75x + 0.50y = 7.50 ------ equation (2)

Substitute equation (1) into equation (2):

     0.75x + 0.50(x+5) = 7.50

0.75x + 0.50x + 2.50 = 7.50

                          1.25x = 5

                               ∴x = 4

Substitute x = 4 into equation (1):

∴y = 4+5

    = 9

∴David bought a total of 4 apples and 9 bananas.

What's the area of a rectangle with side lengths of 6/8 metter and 4/10 metter?

Answers

Answer:

3/10 meters^2

Step-by-step explanation:

we multiply length by width to get are

6/8x4/10

6*4/8*10

24/80

3/10

Hopes this helps please mark brainliest

Answer: Hi the answer to that would be 3/10.

Step-by-step explanation: The first one explains the formula and the second one shows my work. I hope this helps!!!

Find the Smallest number which
being added 28 to
exactly divisable by 32, 36, 48
and 96

Answers

Answer:

265 is the snakiest number

Step-by-step explanation:

Since 96 = 32x3 and 96=48x2 we need to find the lowest common multiple of 36 and 96
36 = 3 x 12 and 96 = 8 x 12 so LCM is 3 x 8 x 12 = 288
288 = 32x9 = 36x8 = 48x6 = 96x3
288 - 28 = 260
So 260 is the smallest number that meets the requirements

If the p-value is 0.023 from a hypothesis test is compared to a significance level of 0.05, what conclusion would we make?



Group of answer choices

A) Accept the null hypothesis.

B) Reject the alternative hypothesis.

C) Fail to reject the null hypothesis.

D) Reject the null hypothesis.

Answers

If the p-value is 0.023 from a hypothesis test is compared to a significance level of 0.05, the conclusion which we would make is: A) accept the null hypothesis.

What is a p-value?

A p-value is also referred to as the probability value and it can be defined as a probability which arises when the null hypothesis (H₀) is true of obtaining a sample result that is at least as unlikely as what is originally observed.

In Mathematics, the following rules are applicable to both a p-value and a hypothesis test:

Accept the null hypothesis when the p-value is greater than the significance level (alpha).Reject the null hypothesis when the p-value is less than the significance level (alpha).

In this context, we can logically deduce that the null hypothesis would be accepted because the p-value (0.023) is greater than a significance level of 0.05 and not statistically significant.

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The cost of 5 kg of potatoes is £3.40
The cost of 2 kg of carrots is 32p
Work out the total cost of 11 kg of potatoes and 1½ kg of carrots.

Answers

Answer:

i know i know its is 8.78 pounds it is easy

Step-by-step explanation:

what you do is that i am smart

The required total cost of the 11 kg of potatoes and 1½ kg of carrots is $7.72.

Given that,
The cost of 5 kg of potatoes is £3.40 the cost of 2 kg of carrots is 32p working out the total cost of 11 kg of potatoes and 1½ kg of carrots.

What is simplification?

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

Here,
Cost of potatoes per kg = 0.68
Cost of 11 kg of potatoes = 0.68×11 = $7.48
Cost of the carrots per kg = 0.16
Cost of 1.5 kg carrot = 0.24
Total cost of the 11 kg of potatoes and 1½ kg = 7.48 + 0.24= $7.72.

Thus, the required total cost of the 11 kg of potatoes and 1½ kg of carrots is $7.72.

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Fasting blood glucose levels are normally distributed with mean u = 117
mg/dL and standard deviation o = 15.2 mg/dL. Compute the upper 40.
percent Round answers to 1 decimal place.

Answers

the upper 40 percent round answers to 1 decimal place is 113.1

mean( [tex]\mu\\[/tex]) = 117 mg/dL

S.D.(σ) = 15.2 mg/dL

The r code which is used to get 40th percentile in qnorm(0.4,117, 15.2 ) = 113.1

What is mean?

Mean refers to the average of a set of values. The mean can be computed in a number of ways, including the simple arithmetic mean (add up the numbers and divide the total by the number of observations), the geometric mean, and the harmonic mean.

What do you mean by geometric mean?

Geometric Mean (GM) is the average value or mean which signifies the central tendency of the set of numbers by finding the product of their values.

What do you mean by arithmetic mean?

The quantity obtained by summing two or more numbers or variables and then dividing by the number of numbers or variables.

What do you mean byharmonic mean?

The harmonic mean is the reciprocal of the arithmetic mean of the reciprocals.

What do you mean by Standard Deviation?

A standard deviation (or σ) is a measure of how dispersed the data is in relation to the mean. Low standard deviation means data are clustered around the mean, and high standard deviation indicates data are more spread out.

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Bob’s bank charges him a $3.15 service fee every time he uses an out-of-network ATM. If Bob uses an out-of-network ATM an average of three times every two weeks, how much will he pay in service fees over the course of a year?
a.
$327.60
b.
$109.20
c.
$491.40
d.
$245.70


Please select the best answer from the choices provided

A
B
C
D

Answers

answer:

$245.70

why?:

1 year = 52 weeks

52/2= 26

26*3 = 78 times

78*3.15= 245.70

Other Questions
calculate bond price if the coupon payment is 5%, yield for the bond is 3%, bond's face value is 1,000 and matures in 19, if paid semi-annually What Protestant Reformer is associated with the idea of predestination and church government through groups of leaders rather than a hierarchy? Martin Luther Henry VIII John Calvin John of Leyden According to bernanke, which factors contributed to the great depression? check all that apply. a decentralized decision-making structure a lack of authority to make decisions a failure to provide decision makers with necessary tools the establishment of the open market investment committee a consensus among federal reserve leaders what shapes would you generally expect each of the following cost curves to have: fixed costs, variable costs, marginal costs, average total costs, and average variable costs? given that AC is 38. Find bc A ____is a group of people who live together and share responsibilities and resources. Toby the Turkey needs you to buy place cards so that everyone will know where to sit during his Thanksgiving dinner. He would like to buy them in bulk. The card shop offers 3 different packs. Use the chart below to determine which pack offers Toby the best deal, then find the price per card. Pack #1 Quantity 12 place cards Cost $29 per pack Pack #2 Quantity 24 place cards Cost $89 per pack Pack #3Quantity 24 place cards Cost $213 per pack( This is confusing to me I don't even understand why my math teacher decided to give us it when she didn't explain it. currently gonna cry on this I need to show work what.) ellie may, a mother with type b blood, has a child with type o blood. she claims that jethro, who has type a blood, is the father. he claims that he cannot possibly be the father. further, blood tests ordered by maury povich reveal that the father is homozygous. judge joe brown rules that: why are 0.8 and 0.80 are equivalent? suppose a solution contains calcium, ca2 , ions. according to solubility rules, which other ion should be added to form a precipitate? Consider the equation 5+x=n5+x=n. What must be true about any value of xx if nn is a negative number? Explain your answer. Include an example with numbers to support your explanation. your favorite am radio station broadcasts at a frequency of 849 khz using a 521 kw antenna. how many photons per second does this antenna emit? Why Eat Zongzi on Dragon Boat Festival McCarthy suggests that Hiss...ABCDheavily influenced the outcome of theYalta Conference in the Soviets' favor.was framed to divert attention away fromother communists in the statedepartment.did not in fact attend the YaltaConference, but was with the Soviets.was so inept at his job that he essentiallyhanded the Soviets everything theywanted. you work for an advertising agency that is preparing a new television commercial to appeal to women. you have been asked to design an experiment to compare the effectiveness of three versions of the commercial. each subject will be shown one of the three versions and then asked her attitude toward the product. you think there may be large differences between women who are employed outside the home and those who are not. because of these differences, you should use a which type of volcanic eruption exhibits explosion or fountain of basaltic lava from a single vent 8.y=Which word describes the connection between the shape and its reflection?[] congruent[] similar[ ] translation[] corresponding .How many moles are present in 5.67x1025 atoms of Carbon (C)? The radius of the circle below is 27 mm.Calculate the area of the circle.Give your answer in mm to 1 d.p.27 m On a coordinate plane, a line goes through (negative 2, negative 4) and (2, 2). A point is at (negative 3, 1).What is the equation, in point-slope form, of the line that is parallel to the given line and passes through the point (3, 1)?y 1=Negative three-halves(x + 3)y 1=Negative two-thirds(x + 3)y 1= Two-thirds(x + 3)y 1= Three-halves(x + 3)