A pattern follows the rule "Starting with three, every consecutive line has 2 less than twice the previous line. "

1. How many marbles must be in the fifth line?

Since the diameter of this circle is 76 inches, a measurement which the circumference of this circle has include the following: C. 238.64 inches.

Mathematically, the circumference of a circle can be calculated by using this mathematical expression:

C = 2πr or C = πD

Where:

Substituting the given parameters into the circumference of a circle formula, we have;

Circumference of circle, C = πD

Circumference of circle, C = 3.14 × 76

Circumference of circle, C = 238.64 inches.

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Complete Question:

The diameter of a circle is 76 inches. Which measurement does the circumference of this circle have?

A. 123.45 inches.

B. 438.65 inches.

C. 238.64 inches.

D. 338.64 inches.

Answer:

120

Step-by-step explanation:

Find the volume of the box by finding the area of the base then multiplying it by the height then divide by 1/2

Answer:

Order of rotation is the number of times you can rotate the geometric figure so that it looks exactly the same as the original figure.

Step-by-step explanation:

We have the counter and the clockwise rotation where counter you move back in in 90 degrees and clockwise you move forward

The station of PT is 12305.58 ft

The station of PT can be determined using the formula:

PT = PI + R * (central angle in radians)

To use this formula, we first need to convert the central angle from degrees to radians. We can do this by multiplying the central angle by (π/180)

Next, we need to determine the radius (R) of the curve. We can use the formula:

R = L / (central angle in radians)

Where L is the tangent length.

Finally, we can substitute the values into the formula for PT:

PT = 105 00 + (1200 / (29.86 * (π/180)))

PT = 105 00 + (1200 / (0.5236))

PT = 105 00 + 2295.58

PT = 12305.58

It's important to note that this calculation assumes that the degree of curvature is a circular curve and that the PI is at the tangent point of the curve.

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Answer:

I answered question 9

Step-by-step explanation:

There are 9 possible outcomes  to buy two new pair of pants.

Combinations are mathematical operations that count the number of potential configurations for a set of elements when the order of the selection is irrelevant. You can choose the components of combos in any order.

Given:

we have the following Styles

Boot cut (B), Skinny (S), and Relaxed fit (R).

So, if her buys two paints then the possible combination he can take as

Boot cut x Boot cut

Skinny x Skinny

Relaxed fit x Relaxed fit

Boot cut x Skinny

Boot cut  x Relaxed fit

Skinny x Relaxed fit

Skinny x Boot cut

Relaxed fit x Boot cut

Relaxed fit x Skinny

Hence, there are 9 possible ways.

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The expressions for the number of sweets that Tony and Sue now have are:

Given:
Sue has 18 sweets

Sue = 18

Tony also has 18 sweets, that is:

Toney = 18

Sue gives Tony × sweets; that is

Sue = 18 - x; and

Tony = 18 + x

Sue then eats 5 of her sweets, Tony then eats half of his ⇒ Sweets:

that is ⇒

Sue = 18 - x - 5

Tony = (18 + x) / 2

Thus, simplifying the above, we have:

Sue = 13 - x

Tony = (18 + x) / 2

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Answer:

40

Step-by-step explanation:

The area of bedroom rug is 15 square feet. the longer side measures 5 feet. his living room rug is twice as long and twice as wide as the bedroom rug.

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Turn left and continue past the finish line after starting at 3.5 on the number line. Simply plot x=3 1/2 on a number line.

A relationship between two expressions or values that is not equal is known as an inequality in mathematics. Inequality follows imbalance, therefore. In mathematics, an inequality makes a connection between two values that are not equal. Egality and inequality are different. Different inequalities are employed to contrast values of all sizes. By changing the two sides until only the variables are left, one can solve many straightforward inequalities. But a variety of factors support inequality: Negative values are split or added on either side. Switch between the left and right.

given

the inequality for x 1/3 x - 3 -1 5/6 must first be resolved.

2 plus 3 on both sides

Simply multiply both sides of 1/3x by 3x31/2,

and then graph x31/2 on a number line.

Turn left and continue past the finish line after starting at 3.5 on the number line. Simply plot x=3 1/2 on a number line.

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Answer:

60 = [tex]2^2[/tex] * 3 * 5

Step-by-step explanation:

The process of prime factorization is when one breaks up a number such that it can be represented as the product of many prime numbers. One does this by dividing the prime number by its smallest prime factor. Then one will divide the composite factor by its smallest prime factor, and so on. All of the resulting prime numbers are prime factors of the original number.

60 = 2 * 30

30 = 2* 15

15 = 3 * 5

60 = [tex]2^2[/tex] * 3 * 5

Answer:

a=13.2

b=21

c=36

d=9

Step-by-step explanation:

a good way to do these is to find the simplest fraction, and multiply the number over 1 (a- 1/5*11/1 =11/5=2.2) then add the number to the total you have (a- 2.2+11=13.2) I have not done these questions in a while, so they may be off by a bit, or the formula may have a mistake, hope this helps anyway. :)

Answer:

Step-by-step explanation:

A x 20%=11

so a=11/.20

a=55

b x 75%=12

b=12/.75

B=16

c X 80%=20

c=20/.80

c=25

d x 200%=18

d=18/2

d=9

Answer:

10

Step-by-step explanation:

distance formula = \sqrt{(x_2 - x_1)^2 + (y_2-y_1)^2}

(x_1, y_1) = (5, 1)

(x_2, y_2) = (-3, -5)

\sqrt{ [(-3) - (5)]^2 + [(-5) - (1)]^2 }

\sqrt{ [-8]^2 + [-6]^2 }

\sqrt{ 64 + 36 }

\sqrt{ 100 }

= 10

Answer:

[tex] Distance = 10 \ u [/tex]

Step-by-step explanation:

Given :-

And we need to find the distance between the two points . We can use distance formula here to find the distance between the two points . The distance formula for two points ,

Distance Formula :-

[tex]\implies Distance =\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

[tex]\implies Distance =\sqrt{\{5-(-3)\}^2+\{1-(-5)\}^2 } \\\\\implies Distance =\sqrt{ (5+3)^2+(1+5)^2}\\\\\implies Distance =\sqrt{ 8^2+6^2}\\\\\implies Distance =\sqrt{64+36}\\\\\implies Distance =\sqrt{100}\\\\\implies Distance = 10\ units [/tex]

Hence the distance between the two points is 10 units .

(a) If an orchestra has a sound intensity of [tex]6.4 \times 10^-^3\ Wm^{-2[/tex], then

the intensity level of sound, L, is 98.062 dB.

(b) If a rock concert has an intensity level of 112 dB, then the sound intensity, S, is [tex]10^{-0.8}\ Wm^{-2[/tex].

Sound intensity, also known as acoustic intensity, is defined as the dominion ferried by sound waves per unit area in a direction perpendicular to that area.

Given that the intensity level of sound, L, measured in decibels (dB), is a function of the sound intensity, S, watts per square meter ([tex]Wm^{-2[/tex]) as

[tex]L = 10log_{10}(S\times10^1^2), S\geq 0[/tex]

(a) If an orchestra has a sound intensity of [tex]6.4 \times 10^-^3\ Wm^{-2[/tex], then

the intensity level of sound,

[tex]L = 10log_{10}(6.4\times10^{-3}\times10^1^2)[/tex]

   [tex]= 10log_{10}(6.4\times10^9)\\= 10(log_{10}6.4\ +\ log_{10}10^9 )\\= 10(0.8062\ +\ 9)\\=10 \times 9.8062\\= 98.062\ dB[/tex]

(b) If a rock concert has an intensity level of 112 dB, then

[tex]112 = 10log_{10}(S\times10^1^2)\\log_{10}(S\times10^1^2) = \frac{112}{10}\\log_{10}(S\times10^1^2)= 11.2\\S\times10^1^2 = 10^{11.2}\\S = \dfrac{10^{11.2}}{10^1^2} \\S = 10^{-0.8}\ Wm^{-2[/tex]

The sound intensity is [tex]10^{-0.8} Wm^{-2[/tex].

Hence, (a) L = 98.062 dB and (b) S [tex]= 10^{-0.8}\ Wm^{-2[/tex].

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In the case of Typical behavior of the sales prices of houses median is the best term. In the case of Ages of 1st graders mean is the best way of central tendency and for Heights of women mode is the best measure.

First of all we have to know the Mean, median and mode. The mean of a data set is found by adding all numbers in the data set and then dividing by the number of values in the set. The median is the middle value when a data set is ordered from least to greatest. The mode is the number that occurs most often in a data set.

In the case of typical behavior of the variable sales price of houses, the Median will be the best measure of central tendency because the median will not get affected by the higher/lower prices of houses.

The age of each kid will be almost the same.  In order to represent the typical behavior of the variable Age of 1st graders, the mean will be the best measure of central tendency.

Incase of Heights of women, the mode will be the best measure of central tendency as it will describe the height that most of the females have. 

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Answer: $1,040

Step-by-step explanation:

52 weeks in a year

52x 10= 520

520x 2(for the years)= 1,040

Answer:

1,040$

Step-by-step explanation:

52 weeks in each year

52 x 2 is 104.

104 x 10 is 1,040.

Answer:

rectangle

6 faces

12 edges

8 vertices

10ft height

hope this helps

The value would be [tex]34^{-1} \pmod{47}=30[/tex]

What is the modulus in mathematics?

In mathematics, the modulus is the remainder of the division of one number by another. It is denoted by the symbol %, or in some cases, by the symbol mod.

Given that 13^-1 ≡ 29 (mod 47), we can use this information to find the inverse of 34 mod 47. The inverse of a number modulo m is a number x such that the product of the number and its inverse is congruent to 1 mod m.

In the case of the given equation, [tex]$13^{-1} \equiv 29 \pmod{47}$[/tex] is saying that 29*13 = 377 is congruent to 1 mod 47.

We can use this congruence to find the inverse of 34 mod 47. The inverse of 34 mod 47 is the number x such that 34*x = 1 mod 47. So we can write this congruence as [tex]$34x \equiv 1 \pmod{47}$[/tex]

We can use the given congruence of 13^-1 ≡ 29 (mod 47) to find the inverse of 34 mod 47.

Since [tex]$13^{-1} \equiv 29 \pmod{47}$[/tex], we can multiply both sides of the congruence by 34 as:

[tex]$13^{-1} * 34 \equiv 29 * 34 \pmod{47}$[/tex]

Now we can substitute the right side of the equation:

[tex]$13^{-1} * 34 \equiv (13*29) \pmod{47}$[/tex]

And now we can substitute the left side of the equation:

[tex]$34^{-1} \equiv (13*29) \pmod{47}$[/tex]

And since [tex]$13*29 = 377$[/tex] this is congruent to 30 (mod 47) the inverse of 34 mod 47 is 30.

Therefore, the value would be [tex]34^{-1} \pmod{47}=30[/tex]

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The value would be 13.

What is the modulus in mathematics?

In mathematics, the modulus is the remainder of the division of one number by another. It is denoted by the symbol %, or in some cases, by the symbol mod.

We can use the property of modular inverse that

[tex]$(ab)^{-1} \equiv b^{-1}a^{-1} \pmod{m}$[/tex]

So, [tex]$(13*34)^{-1} \equiv 34^{-1} \cdot 13^{-1} \pmod{47}$[/tex]

[tex]$13^{-1} \equiv 29 \pmod{47}$\\$(13*34)^{-1} \equiv 34^{-1} \cdot 29 \pmod{47}$So, $34^{-1} \equiv (13*34)^{-1} \cdot 13 \pmod{47}$$34^{-1} \equiv 1 \cdot 13 \pmod{47}$$34^{-1} \equiv 13 \pmod{47}$[/tex]

Hence, The value would be 13.

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Step-by-step explanation:

hope it helps.

Answer:

hope it is helpful to you

Answer:

66

Step-by-step explanation:

a^5

Answer:

16 929

Step-by-step explanation:

a1 = 22      d = 11     a 54  = 605

Sum = 54 ( 22 + 605) /2 = 16 929  

Reducing the object's size by dilation is a change. The items are enlarged or shrunk through dilation.

Resizing an object is accomplished through a change called dilation. The objects can be enlarged or shrunk via dilation.

A diminution in the image occurs when the scale factor is between 0 and 1. An enlarged version of the image is shown if the scale factor is larger than 1.

An enlargement (imagine stretching) is a dilation that makes a larger image, whereas a reduction (think shrinking) is a dilation that creates a smaller image. A diminution in the image occurs when the scale factor is between 0 and 1. An enlarged version of the image is shown if the scale factor is larger than 1.

A transformation called a dilation (similarity transformation) alters the size of a figure. A center point and a scaling factor, k, are necessary. Which kind of dilation it is—an enlargement or a reduction—depends on the value of k. An enlargement results from a dilatation if |k|>1.

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Answer:

-4n+4

Step-by-step explanation:

hope this helps :)

Answer:

2(-2n+2)

-4n+4

() means multiply, negative times positive is negative and it keeps the variable

The statement "it is not the case that p and q are both true" is made in the negation of p ^ q.

As a result, when p q is true, that is, when one or both of p and q are true, (p q) is true precisely. The sentence is only untrue when both p and q are true. The opposite of the given mathematical statement is the negation of a statement in mathematics. If "P" is a statement, then "~P" is the statement's negation.

The words "~" or "¬" are used to denote a statement's denial.

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Answer:

259.8 square feet

Step-by-step explanation:

What is the area of a regular hexagon with sides that measure 10 feet and an

apothem that measures 8.66 feet?

The formula to solve the above question is given as:

Area = (3√3 s²)/ 2 where

s is the length of a side of the regular hexagon

Area of this Hexagon is calculated as:

= (3√3 × 10²)/2

= 3√3 × 100/2

= 259.80762114 square feet

Approximately = 259.8 square feet

The area of the regular hexagon = 259.8 square feet

The mortgage payment exists $954. 32/month then the annual realized income exists 42,414.22.

Principal, interest, taxes, and insurance make up the majority of mortgage payments. Your outstanding loan balance is reduced by the amount in the principal part. Borrowing money has a cost, which is interest. Both the interest rate and the loan balance affect how much interest you pay.

You repay your mortgage loan through monthly payments. This will often be a monthly payment that aids in your gradual mortgage repayment. There will also be taxes, insurance premiums, and loan interest due.

Assume a mortgage repayment schedule that is reasonable, using 27% of gross monthly income.

The product of the monthly mortgage payment by 12 months, divided by the acceptable rate, yields the annual realized income.

[tex]$& \frac{\text { Mortgage }}{\text { Acceptable Rate\% }} * 12 \\[/tex]

substitute the values in the above equation, we get

[tex]$& =\frac{954.32}{0.27} * 12[/tex]

= 42,414.22

Therefore, the annual realized income exists 42,414.22.

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The mortgage payment exists $954. 32/month then the annual realized income exists 42,414.22.

Generally speaking, mortgage payments are made up of principal, interest, taxes, and insurance. The sum in the principle component is deducted from your outstanding loan balance. Interest is a cost associated with borrowing money. The amount of interest you pay depends on both the interest rate and the loan balance.

Monthly payments are made to pay down your home loan. This will frequently be a monthly payment to help you slowly pay down your mortgage. Taxes, insurance premiums, and loan interest will all need to be paid.

Assume a mortgage repayment schedule that is reasonable, using 27% of gross monthly income.

The product of the monthly mortgage payment by 12 months, divided by the acceptable rate, yields the annual realized income.

[tex]\frac{Mortage}{Acceptable rate } *12[/tex]

substitute the values in the above equation, we get

[tex]\frac{954.32}{0.27} *12[/tex]

= 42,414.22

Therefore, the annual realized income exists 42,414.22.

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Answer:

See picture below

Step-by-step explanation:

Answer:

                  .

green 0.416  red0.25 blue0.3

Step-by-step explanation:

Answer:

Step-by-step explanation:

Possible options for 2 different colors are:

Probability of each:

Now, the probability of 2 different colors:

Answer:

Which ratio forms a probation with 18/30

=20/35

=50/90

=36/46

=60/100

Step-by-step explanation: