What is the side length of a square with an area of 121 square centimeters?
In centimeters

The step in which Gwen made an error for the area of the shaded region in the circle is given by:

A. Step 5.

The circumference of a circle of radius r is given by:

C = 2π r.

For this problem, the circumference is of 6π units, hence the radius is given as follows:

6π = 2π r.

r = 6/2.

r = 3 units.

The area of a circle of radius r is given by pi multiplied by the radius squared, as follows:

A = πr².

The entire area of the circle englobes 360º, but we want only the area at an angle of 72º, hence it is given by:

A = (72/360) πr².

Which is where Gwen made an error, at Step 5, hence option A is correct.

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The distance of point from the axis of rotation of the second hand is 8.2 cm.

Here,

A point located on the second hand of a large clock has a radial acceleration of 0.09 cm/s2.

We have to find the distance of point from the axis of rotation of the second hand.

What is Rotation?

The circular motion of an object around the circle is called Rotation.

Now,

Let us consider the equation for the centripetal acceleration given by;

[tex]a_{c} = \frac{v^{2} }{r}[/tex]

where, v is the velocity and r is the radius.

Now, the velocity can be expressed as;

[tex]v = wr = \frac{2\pi r}{T}[/tex]

where, ω is the angular velocity and T is the period.

Solving for the radius using these equations given as;

[tex]a_{c} = \frac{v^{2} }{r}\\\\v^{2} = a_{c} r\\\\(\frac{2\pi r}{T} )^2 = a_{c} r\\\\\frac{4\pi ^{2}r^{2} }{T^{2} } = a_{c} r\\\\r = \frac{T^{2} a_{c} }{4\pi ^{2} } \\\\r = \frac{(60s)^2(0.09 cm/s^2)}{4\pi ^{2} } \\\\r = 8.2 cm[/tex]

Hence, The distance of point from the axis of rotation of the second hand is 8.2 cm.

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the discriminant is:

D = (-1)^2 - 4*(-2)*6 = 49

We have a positive discriminant, which means that we have two real solutions.

For the general quadratic equation, the discriminant is:

a*x^2 + b*x + c = 0

The discriminant is:

D = b^2 - 4ac

In this case, the quadratic equation is:

6*x^2 - x - 2 = 0

Then we have:

a = 6, b = -1, c = -2

Replacing that in the discriminant equation:

D = (-1)^2 - 4*(-2)*6 = 49

We have a positive discriminant, which means that we have two real solutions.

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Answer:

$33.

Step-by-step explanation:

330 miles x (1 gal/34 miles) x ($3.40/gal)= $33.

I hope this helps, have a blessed day! :)

Answer:  $33

Step-by-step explanation:

1 gallon=$3.40

Hence,

Make a proportion:

 34 milles -  $3.40

330 milles - x gallones

Thus,

[tex]\displaystyle\\x=\frac{330*3.40}{34} \\\\x=\frac{33*34}{34}\\\\x=33\ dollars[/tex]

Answer:

3y+7y=4-6

10y= -2

y= -2÷10

y =1/2

Ans

We need to know how to solve the equations by substituting values for this problem. (a)The number of rabbits on the farm at the end of June is 164 and (b) after a long time the number of rabbits on the farm will become zero.

In the given question we know that the number of rabbits on a farm at the end of month n is [tex]P_{n}[/tex] and that the number of rabbits at the end of the next month is [tex]P_{n+1} =1.2P_{n} -50[/tex]. We know that the number of rabbits at the end of March is 200, so we can have [tex]P_{1}[/tex]=200, we need to find the number of rabbits at the end of June, which will be [tex]P_{4}[/tex], we can form an equation from here

[tex]P_{4} =1.2P_{3} -50[/tex]

Since we don't know what [tex]P_{3}[/tex] is we can replace it by [tex]P_{2}[/tex] and then replace that by [tex]P_{1}[/tex].

[tex]P_{4} =1.2P_{3} -50\\P_{4} =1.2(1.2P_{2} -50)-50\\P_{4} =1.2(1.2(1.2P_{1} -50)-50)-50 = 1.2(1.44P_{1} -60-50)-50=1.728P_{1} -72-60-50=1.728P_{1} -182[/tex]

We know that [tex]P_{1} =200[/tex]

So, [tex]P_{4}[/tex]=1.728x200-182=345.6-182≈164

Therefore the number of rabbits at the end of June is 164 and after a long time the number of rabbits on the farm might become zero since the number of rabbits is decreasing with every month.

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Answer:

1/24 = 0.041666666...

Step-by-step explanation:

when rolling 4 dice, we have

6 × 6 × 6 × 6 = 6⁴ = 1296

different possible outcomes (each die has 6 possible outcomes).

so, the probability of any particular pattern is then

1/1296.

we need to find how many patterns there are to represent the desired result of 2 identical odd numbers combined with 2 identical even numbers.

there are on every die 3 out of 6 options for an odd number, and the other 3 out of 6 options for an even number.

when we roll 2 dice, the patterns for 2 identical odd numbers are

1 1

3 3

5 5

so, 3 out of the possible 36.

similar for 2 identical even numbers.

2 2

4 4

6 6

3 out of the possible 36.

so, combining this together for a roll of 4 dice, we get then

3 × 3 out of the possible 36 × 36

9 out of the possible 1296 patterns.

that means the probability (desired over total possible cases) for a specific combination of 2-and-2 dice is

9/1296 = 1/144 = 0.006944444...

but there are 4! / (2! × 2!) = 6 possibilities (pick 2 out of 4, where the sequence of the picked ones does not matter) to pick 2 dice out of 4 and to show the same pattern across the 4 dice, as e.g. for the basic pattern 1 1 2 2 we can have

1 1 2 2

1 2 1 2

1 2 2 1

2 1 2 1

2 1 1 2

2 2 1 1

all of the 9 patterns have these 6 combination possibilities.

so, we need to multiply the individual pattern probability by 6 for the total probability

1/144 × 6 = 6/144 = 1/24 = 0.041666666...

Yes the organizer will fit. See the explanation of the word problem below.

Because 3/4  = 6/8,

69 6/8 is larger than 69 1/8 by 5/8".

That is 6 eighths minus 1 eighth is 5 eighths).

Hence, we may disregard the 69 inches because there is no difference in total inches.

The only distinction is in fractions of an inch.

Hence the organizer will be able to fit inside the closet.

A word problem in mathematics is a math question expressed in one or more sentences that demands students to apply their arithmetic skills to a'real-life' setting.

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Answer:

37

Step-by-step explanation:

Evaluate 40-15/t for t=5 step by step

first, remember PEMDAS

substitute in 5 for t

40-15/5

since division (D) comes before subtraction (S) in PEMDAS, we divide first

15/5 is 3

we are left with

40-3

if we subtract, we are left with

37

Answer:

37

Step-by-step explanation:

PEMDAS

Parenthesis

Exponents

Multiply          

Divide

Add

Subtract

^

This is the order you should complete your problem in...

The rate constant K is 0.0015.

Zero-order reaction of reactant a is found to have [a]0=0.25 m and

if [a]=0.10 m at t=100s, then we need to find the rate constant k.

The rate constant, k, is a proportionality constant that indicates the relationship between the molar concentration of reactants and the rate of a chemical reaction

k=([a]0-[a])/t

where k is rate constant,

By the given data we have [a]0=0.25 m

[a]=0.10 m

t=100s

k=?

The rate constant, is a proportionality constant that indicates the relationship between the molar concentration of reactants and the rate of a chemical reaction.

The rate constant is denoted by k.

k=([a]0-[a])/t

Subtract 0.10 from 0.25 and divide it by 100

=(0.25-0.10)/100

=0.15/100

=0.0015

Therefore 0.0015 is the rate constant when a zero-order reaction of reactant a is found to have [a]0=0.25 m and [a]=0.10 m at t=100.

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Slope of the line passing through (-5,-4)  and (-1,3)is 1.75

The slope formula

slope = (y₂ - y₁) / (x₂ - x₁)

Notice that the slope of a line is easily calculated by hand using small, whole number coordinates. The formula becomes increasingly useful as the coordinates take on larger values or decimal values.

The  points belong to an increasing, linear function.

Equation: y = 1.75x + 4.75.

m=7/4=1.75.

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The remarkable thing that was made by the Mound Builders is (C) large cities

In the Ohio River Valley, Native American tribes constructed mounds and enclosures for burial, religious, and even defense purposes. For dramatic effect, they frequently constructed their mounds on or near tall cliffs or bluffs, as well as in rich river valleys.

Mound Builders were not one particular group of people; rather, they were pre-Columbian tribal groups that erected massive earthen constructions known as mounds throughout North America. These mounds were used as houses, burial grounds, and ceremonial hubs, among other things.

In conclusion, the remarkable thing that was made by the Mound Builders is large cities.

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The point closest to -

A plane is a two-dimensional flat surface that can extend indefinitely. A plane would be the two-dimensional equivalent of a point with zero dimensions, a line with one dimension, and three-dimensional space.

         ax+by+cz+d=0,

         where minimum one number out of a, b, and c must be non-zero.

Now, as per the question;

A point (x, y, zdistance )'s from the yz plane is equal to |x|.

As a result, for small |x|, the point would be closest to the yz plane.

C does have the smallest among A, B, and C that is |x| = 2.

Thus, c point is closest to yz-plane.

If the point is in the xz-plane, after which y equals 0.

Only A has a y value of zero.

As a result, A is in the xz-plane.

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Answer:

A. No solution

Step-by-step explanation:

Please see attachment for the graph.

Hope this helps!

Please mark as brainliest if correct!

The equation has No Solution.

The points at which the lines representing the intersection of two linear equations are defined as the solution to a linear equation. In other words, the set of all possible values for the variables that satisfy the given linear equation is the solution set for the system of linear equations.

The set of linear equations can be solved in one of three ways

Unique Solution, No Solution and Infinitely Many Solutions.

Given equations

2x + 6y = 12

x   0    6  

y   2    0

6x + 18y = 18

x   0    3  

y   1    0

The graph of equations is attached,

for solution of equation,

we can find it by graph, the graph shows the parallel line for both equation since equations have No Solution.

The system of linear equations does not have a solution if the graphs of the linear equations are parallel. In this instance, there is no point at which lines do not cross.

Hence there is no solution for equations.

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Answerham=136

Step-by-step explanation:

ham=x,,cheese=3x....=544...4x=544  which makes  x to be 136 which is the no of hamburgers

The time they would both meet at the starting point is 140 minutes (third option).

The time they would both meet at the starting point will be a common multiple of the time it takes each of them to complete a lap.

A multiple of a number is the product of an integer and that number. A common multiple is a multiple that is common to two or more numbers.

Multiple of 20 = 20, 40, 60, 80, 100, 120, 140

Multiple of 35 = 35, 70, 105, 140, 175

Lowest common multiple of 20 and 35 = 140

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The equation system to represent these two plans is:

c=100+10d, c=40d where c is the total cost and d represents the data used.

We have to understand the plans provided by AT&K and Verikon separately to find the equation system. We know that the total cost incurred is c and the amount of data used is d. It is given that AT&K charges a monthly flat rate of $100 and additional $10 for every gigabyte of data used. We can say that for a month the total cost incurred from AT&K is $100 plus $10xd, the amount of data used.

c=100+10d

For verikon it is given that it does not have any flat monthly rate and it charges $40 for each gigabyte of data used.We can easily say that the total cost in this case is $40 multiplied to amount of data used.

c=40d

Thus the system of equation for the two different plans is

c=100+10d and c=40d

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Translate the phrase into an algebraic equation:

m+6

Solve:

39

Step-By-Step:

If m = 33, then the equation would just be 33 + 6, which equals 39

Answer:

You would need 9 liters of pure acid and 72 liters of 10% acid to make a mixture of of 81 liters of 20% acid.

Step-by-step explanation:

See attached picture.

The value of the function f(x) = 2x/(2x + 3).

A function is defined as a relationship between a set of inputs that each have one output.

Now, as per the question, the functions are give as;

h(x) = (2x + 3)/x

g(x) = 2/x

And, g(f (x) ) = h(x) =  (2x + 3)/x  ......(equation 1)

To estimate the value of f (x); Substitute x for f(x)

g(f (x) ) = 2/f (x)     ......(equation 2)

Equation (equation 1 and 2).

2/f (x) =  (2x + 3)/x

f (x) = 2x/ (2x + 3)

Thus, the value of the function f (x) = 2x/ (2x + 3).

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The correct question is-

The function h (x) = StartFraction 2 (x + 3) Over x EndFraction is a result of the composition (g compose f) (x). If g (x) = StartFraction 2 over x EndFraction, what is f(x)?

From the information provided the measure of the angles are given as, m∠EFH = 71; and m∠EFG = 142°. See the explanation below.

It is to be noted that

m∠GFH = m∠EFH

m∠EFH = 71°

m∠EFG = m∠GFH + mEFH

Hence,

m∠EFG = 71 + 71

= 142°

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2836 numbers books produced will the costs from the two methods be the same.

From the given data

There are two production methods could be used so we can get two equations for cost (c) from two methods

Let x be the numbers of books produced.

Now, To calculate the total production cost.

Total production cost by selling  books = Fixed one time cost + Cost for production of  books.

From method 1  the equation we get

C = 24.75x + 13238    

and from method 2 the equation we get

C = 11.75x + 50107

Method 1 cost = Method 2 cost

24.75x + 13238 = 11.75x + 50107

24.75x - 11.75x  = 50107 - 13238

13x = 36869

 x  = 36869/13

 x  = 2836

x = 2836 numbers of books will have same cost.

By using variables, you may represent the unknowable amounts. As you follow the description, perform each mathematical conversion individually. For instance, if you are asked to increase an item by 4, you can do it by adding 4 to the item. There are various ways to translate descriptions into mathematical formulas, such as multiplying something by 2 if it is, for instance, doubled.

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Answer:

63 crayons are broken

Step-by-step explanation:

84 ÷ 4 = 21

21 x 3 = 63

can be checked by 84 - 63 = 21

Answer: i think its d

Step-by-step explanation:

Using the 14c calibration on the x-axis, the approximate age of the neanderthal fossils is (C) 40,110 years old.

So, using calibration on the x-axis, the approximate age of the neanderthal fossils came out to be 40,110 years old.

Therefore, using the 14c calibration on the x-axis, the approximate age of the neanderthal fossils is (C) 40,110 years old.

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The correct question is given below:
Using the 14c calibration on the x-axis, what is the approximate age of the neanderthal fossil?

a. 5,730 years old

b. 34,380 years old

c. 40,110 years old

d. 45,840 years old

A rectangular bathroom mirror having a perimeter of 24 feet and an area of 20 square feet, The length and breadth of rectangle are 10 feet and 2 feet respectively.

Given,

perimeter of the rectangle = 24 feet

area of rectangle = 20 sq. feet

Formula of perimeter of rectangle = 2(L + B)

where L = length of the rectangle , Breadth of the rectangle.

⇒ 24 = 2(L + b)                                  

⇒ 12 = L + B

⇒ L = 12 - B                                                  ........(1)

Formula of area of rectangle = L × B

⇒ 20 = L × B                                      

⇒ L = 20 / B                                                  .......(2)

From (1) and (2)

equating two equations,

12 - B = 20 / B

⇒ 12B = 20 + B²

⇒ B² - 12B + 20

On solving,

⇒ B = 10, 2

So, the Length and breadth of rectangle are 10 feet and 2 feet

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The absolute-value equation to find Jason's max and min speeds is |x| = |55 ± 5| mi/h and the maximum speed is 60 mi/h and the minimum speed is 50 mi/h.

Absolute Value equation:

An absolute value equation in the form | ax + b | has the following properties:

If c < 0 , | a x + b | = c has no solution .

If c = 0 , | a x + b | = c has one solution .

If c > 0 , | a x + b | = c has two solutions .

Given,

Jason is driving his car at 55mi/h he needs to keep his car within 5 mi/h of his current speed.

Here we need to write solve an absolute-value equation to find Jason's max and min speeds.

We know that, the current speed = 55 mi/h

And he want to keep the speeds within 5 mi/h of his current speed.

Let x be the unit that measure the maximum and minimum speed.

So,

The maximum speed.

|x| = 55 + 5 = 60 mi/h

and the minimum speed,

|x| = 55 - 5 = 50 mi/h

So, the absolute value of the equation is,

|x| = |55 ± 5| mi/h

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There are 99 students in Misha's grade.

So,

Therefore, there are 99 students in Misha's grade.

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