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The approximation of the trigonometry ratio cot(5) is 11.43

The trigonometry ratio expression is given as

cot(5)

In trigonometry ratio, we have the following equation

cot(x) = 1/tan(x)

This means that x = 5

Substitute 15 for x in the equation cot(x) = 1/tan(x)

So, we have

cot(5) = 1/tan(5)

Using a calculator, we have:

cot(5) = 1/0.0875

Evaluate the quotient

So, we have

cot(5) = 11.4286

Approximate the above result

So, we have

cot(5) = 11.43

Hence, the approximation of the trigonometry ratio cot(5) is 11.43

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A declaration of a hits variable that can store how many times a baseball player has hit the ball during a game of baseball int hits;

A programme declares a variable whenever it states that it requires one. Place declaration statements for our brief programmes in-between the main method's two curly braces. The variable's name and data type are provided in the declaration. It could also provide a specific value that has to be entered into the variable.

When a variable is given a value for the first time, it is said to be initialized. The symbol = stands in for the assignment operator. Instead of writing int I and then 9, you can establish a variable for addition and then give it a value in the same line by writing int I = 9.

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If Gabriel continues the pattern of running that he has done on the past four weeks, the miles he will run on the 7th week is 2 miles.

Gabriel's pattern of running is such that he increases the number of miles by 0.25 miles every week.

This is why he ran 0.5 miles, and then 0.75 miles and then 1 mile.

If he keeps going like this, one the 7th week, he will run:

5th week = 1.5 miles

6th week = 1.75 miles

7th week = 2 miles

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Answer:

Yes, the ratios are equivalent.

Step-by-step explanation:

Answer:

2m+4 is the answer

Step-by-step explanation:

On solving linear equation 1.05x=12.60, we get that Emma has 48 quarters.

Let x be any variable then ax + b = c  b is an linear equation in one variable.

where a, b, c are constants  then we get solution for x as

x=(b-c)/a

Given as Emma has 4 times as many as quarters as nickels

Let the no of nickels be x

Then as there are 4 times as many as quarters as nickels

then no quarters be = 4x

Value of one nickel = 5 cents= $0.05

Value of one quarter = 25 cents = $0.25

Therefore x nickels and 4x quarters worth is = x(.05)+4x(.25)

Total worth of given nickels and quarters = $12.60

Then 0.05x+x = 12.60

This is an linear equation in one variable

1.05x=12.60

x= 12.60/1.05

x=12

Therefore ,Emma has 12 nickels

and 4(12)= 48 quarters

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For the given data, x1 = (8 + 12)/2 = 10;

Mean = Sum of frequencies*components/Sum of frequencies = 590 / 30 = 19.6667

A histogram roughly depicts the distribution of numerical data. Karl Pearson is credited with coining the phrase. To create a histogram, you must first "bin" (or "bucket") the data range, divide it into a series of intervals, and then count how many values fall into each interval. The bins are often defined as discrete intervals that don't overlap. The bins (intervals) must be next to each other and are frequently (but not necessarily) of the same size.

When the bins are the same size, a rectangle is constructed across each bin, with the height being proportional to the frequency—that is, the number of cases in each bin.

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Answer:

I think you're looking for 74,099

The Simplification of the expression 6(3x-17) + 2x -18 = 9(4x+7) -9 + 17 and value for the unknown x, is approximately 11.94

6(3x-17) + 2x -18 = 9(4x+7) -9 + 17

18x - 102 + 2x - 18 = 36x + 63 - 9 + 17

18x + 2x - 36x = 63 - 9 + 17 + 102 + 18

- 16x = 191

x = 191 / - 16

x = 11.9375

Approximately,

x = 11.94

Therefore, the Simplification of the expression 6(3x-17) + 2x -18 = 9(4x+7) -9 + 17 and value for the unknown x, is approximately 11.94

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The answer is " 7 to the power 3rd ".

We translate the algebraic expression 7³ into a verbal expression. The given expression has a base number of 7 raised to the power of 3 . This means is that 7 is multiplied by itself 3 times. So we should write " 7 to the power 3rd "

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The gravitational potential energy is 2940 Joules

The formula for gravitational potential energy is expressed as;

Gravitational Potential energy = m g h

Where;

Substitute the values into the formula;

⇒ 20 × 9. 8 × 15

Multiply through

⇒ 2940 Joules

Thus, the gravitational potential energy is 2940 Joules

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Answer:

= 69k - 18

Step-by-step explanation:

9(7k-2) + 6k

= (9*7k + 9*-2) + 6k

= (63k - 18) + 6k

= 63k + 6k - 18

= 69k - 18

Answer:

The first choice

Step-by-step explanation:

Since we're looking at 5 × 9, we'd need to group them into 5 groups of 9, or 9 groups of 5. In this case, the first choice is the correct answer.

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Answer:

I think it's will be C

Step-by-step explanation:

C I psomes

Answer: C 130%

Step-by-step explanation:

The remainder when 17^(77) is divided by 35 is 12

The number being divided = 17^(77)

The number by which 17^(77) is divided = 35

Using a graphing calculator as follows, we have;

[tex] \frac{17^{77}}{35} = V+ \frac{12}{35} [/tex]

Where V is a very large number quotient

From the above fraction, we have;

Expressing the above result using long division gives;

__V___ (Quotient)

35 (17⁷⁷)

____

12 (Remainder)

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The value   [tex]\displaystyle \sum^{2007}_{n = 2} F(n)[/tex] is 2016532.

The collection of positive and negative integers is known as an integer. Integers, like whole numbers, do not include the fractional portion. Integers can therefore be defined as numbers that can be positive, negative, or zero but not as fractions. On integers, we can carry out all arithmetic operations, including addition, subtraction, multiplication, and division. Integer examples include 1, 2, 5, 8, -9, -12, etc. "Z" stands for an integer. The Latin term "Integer," which implies entire or intact, is where the word "integer" first appeared. Zero, positive numbers, and negative numbers make up the particular set of numbers known as integers.

Integer examples include: -1, -12, 6, and 15.

Zero is not an integer that can be positive or negative. There is no (+ or -) sign on zero, making it a neutral number.

F(2) = 3

We learn that for the majority of the graphs by examining different graphs.

F(n) = n+1

3+4+5+5+7+8+9+9+··········+2008

= (1+2+3+4+5+·····+2008)-3-501

= [tex]\frac{(2008) \times( 2009)}{2} -504[/tex]

= 2016532

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The difference between a tax rebate and a discount is For a rebate the tax, the tax is calculated on the full price, and the customer receives the rebate later. For a discount, the tax is calculated on the reduced price after the discount is applied.

A tax rebate is also known as a tax refund and the purpose of it is to pay back a tax payer when they paid more taxes than they were meant to pay. It is therefore calculated on the full amount of tax.

This is different from a tax discount which works by using the discount to reduce the amount of tax owed and then you can pay off the discounted amount as tax.

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Calculate the absolute value: 52

Substitute  into :: {a =2 ,b = -4} into Va³ 7+1b| =| [tex]2^{3}[/tex] 7 +1*-4|

Determine the sign for exponential or radical expressions:  |[tex]2^{3}[/tex] 7 +1*-4|

Calculate the power: |56-4|

Calculate the sum or difference: |52|

Calculate the absolute value: 52

In mathematics, the absolute value or modulus of a real number {x}x, denoted { |x|}|x|, is the non-negative value of { x}x without regard to its sign. Namely, { |x|=x}{ |x|=x} if x is a positive number, and {|x|=-x}{ |x|=-x} if { x}x is negative (in which case negating { x}x makes { -x}-x positive), and { |0|=0}{ |0|=0}.The absolute value of a number may be thought of as its distance from zero.

For example, an absolute value is also defined for the complex numbers, the  ordered rings, fields and vector spaces. The absolute value is closely related to the notions of magnitude, distance, and norm in various mathematical and physical  that is divisible by both 5 and 2, it is the least common multiple of 5 and 2.

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According to the standard deviation rule, 99.7% of people have an IQ between 55 and 145.

The standard deviation rule which is the empirical rule in statistics tells us that for distributions that have the normal shape, approximately 99.7% of the observations will fall within 3 standard deviations of the mean.

Now, In this question the mean is 100, and the standard deviation is 15. Thus, we can say that approximately 99.7% of the observations (IQ scores) fall between 100 − (3 * 15) and 100 + (3 * 15) or between 55 and 145.

Now, approximately 100% − 99.7% = 0.3% of the observations fall outside this interval. Since the normal shape is symmetric, approximately 0.15% of the observations fall above 145.

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Answer:

The standard form is: (x−h)2+(y−k)2=r2where (h,k) is the center and r is the radius.Your center is at (0,0) and the radius, r=3(x−0)2+(y−0)2=32

Step-by-step explanation:

the point equidistant from the points (0, 0, 0), (0, 4, 0), (3, 0, 0), and (2, 2, -3) are (1/2, 1, 3/2).

Equidistant is a synonym for "equally distant," which is the state of two points being at the same distance from one another. Equidistant implies at the same distance from a location. The term "equidistant" is commonly used in reference to circles, perpendicular bisectors, parallel lines, and other geometrical concepts .Equidistant refers to the relationship between two or more objects or points that are situated at the same distance from one another. A point is considered to be equidistant from two other points when they are both located at the same distance from it. In the middle of the two starting points is a midway. The distance formula or the halfway formula can be used to demonstrate this.

Equation of sphere passes through origin is given by

x2 + y2 + z2 + ax + by+ cz =0

Given, it also passes through (1,0,0), (0,2,0),(0,0,3)

1+ a = 0,                                a = -1

4+2b =0,                             b=-2

And, 9+3c = 0,                       c= -3

The equation of the sphere becomes x2 +y2+ z2 -x -2y -3z = 0

Comparing with x2 +y2+ z2+ 2gx +2fy +2kz +C =0

Therefore the point that is equidistant from all the given points will be the centre of the sphere passing through all these points.

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Answer:

e, so she mixes in 1 cup of white paint. The color is still too dark, so Hana keeps mixing in 1 cup of white paint at a time. After adding 4 cups, she decides the color is too light.

A. Explain in words how much paint Hana should have added initially to get the shade she wants.

Enter your answer.

B. Mod

Step-by-step explanation:

Answer:

Yes

Step-by-step explanation:

The value of |-10| is,

→ |-10| = 10

The value of |6| is,

→ |6| = 6

Now the greater value is,

→ 10 > 6

→ |-10| > |6|

Yeah, |-10| greater than |6|.

Answer:

No, it's not

Step-by-step explanation:

Hope it helps you

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Answer:

In 1864, Sherman succeeded Grant as the Union commander in the Western Theater. He led the capture of the strategic city of Atlanta, a military success that contributed to the re-election of President Abraham Lincoln.

Step-by-step explanation: