Find the area of the circle use 3.14 for pie d=6ft

We can claim that after answering the above question, the So, logarithm \(log4 (0.5^(1/2)) =-0.0752\)

The logarithm is a power's reciprocal in mathematics. Accordingly, the exponent by which b must be raised to obtain a number x equals the logarithm of that number in base b. For instance, since 1000 = 103, its base-10 logarithm is 3, or log10 = 3. As an illustration, the base 10 logarithm of 10 is 2, while the square of 10 is 100. Log 100 = 2. To answer a question like, For example, how many times must a base of 10 be multiplied by itself to achieve 1,000, a logarithm (or log) is the mathematical term utilized. The solution is 3 (1,000 = 10 10 10).

Using the following property of logarithms:

\(log_a (b^c) = c * log_a (b)\\log4 (0.5^(1/2))\\(1/2) * log4 (0.5)\\log4 (0.5) = log (0.5) / log (4)\\log (0.5) ≈ -0.3010\\log (4) = 2\)

Therefore,

\(log4 (0.5) ≈ -0.3010 / 2 ≈ -0.1505\\(1/2) * log4 (0.5) ≈ (1/2) * (-0.1505) ≈ -0.0752\\\)

So, \(log4 (0.5^(1/2)) =-0.0752\)

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Answer:

−4−(3)(0)−4−(3)(0)

=−8

Answer:

-2 and 1/3

Step-by-step explanation:

-4+-3+0+-4+-3+0 = -14

6 numbers

-14/6 = -2 1/3

Answer: 16 pounds of grain.

Step-by-step explanation: 36 divided by 9 is 4, which means we have to multiply bin C by how much bin J was multiplied by, which is 4, so 4x4 is 16.

(let me know if you would like me to explain more on this)

We are to determine the equation of line by interpreting tabulated results between an independent variable ( x ) and a dependent variable ( y ).

A function is usually expressed as follows:

The above notation gives us the output ( y ) which is a function of input variable ( x ). This means that whatever relationship these two variables have the value of output ( y ) is related to the imput variable ( x ).

We are given a table/list of values of output ( y ) corresponding to each value of input variable ( x ) as follows:

Input ( x ) Output ( y )

3 -5

6 -4

9 -3

There are a series of steps that we must take to arrive at the equation that relates two variables.

Step 1: Determine the type of relationship between two variables by intuition

The first step in the process is the hardest of all. We have to critically analyze each input value ( x ) and its corresponding output value ( y ) with successive pair of values.

There are many types of relationships possible ( polynomial order, exponential, logarithmic, trigonometric, radical, etc .. ).

We can conjure up a way by comparing outputs of successive values to determine the type of relationship possible.

So looking at the first value:

The successive value:

The next successive value:

Here if scrutinize between each successive value of input variable ( x ) we see that there is a "3 unit step-up" in each pair of values i.e ( 3 -> 6 -> 9 ).

Next we compare each output values ( y ) for successive pairs. We see that with every step increase of 3 units in ( x ) value there is an increase of ( 1 ) unit in output value i.e ( -5 -> -4 -> -3 ).

Conclusion: Combing the result of above analysis we see that with each 3 step increase in input value ( x ) there is an increase in output value ( y ) by 1 unit.

This gives us the idea that the two variables are linearly related to one another.

Therefore, the type of relationship is:

Step 2: Recall the equation for the type of relationship between two vairbales x and y

Once we have determined the type of relationship between two variables. We will have to resort to our equation bank and pluck out the corresponding equation that expresses a LINEAR relationship i.e equation of a straight line.

The slope-intercept form of a straight line is:

Step 3: Determine the complete equation of function by defining the arbitrary constants.

The above equation is valid for all straight lines that express a linear relationship. However, we seek to find a unique straight line for the given set of points.

Every unique straight line equation would have either of the constants different. The constants defined in a striaght line equation are:

To determine these constants we will use the given pairs of coordinates of input and output variables, x and y respectively.

To determine the slope (m) of an equation:

The above expression relates the change in output value ( y ) with respect to change in input variable ( x ).

To determine the constant ( m ) we will use the conclusion from Step 1:

"3 step increase in input of ( x ) value there is an increase in output value ( y ) by 1 unit."

Therefore,

To determine the value of y-intercept ( c ). We will plug in the value of ( m ) into the general equation of a straight line written in step 2:

Now, we will use any pair of input and output value.

Substitute the pair of values into the derived equation expressed above and solve for constant ( c ):

Note: The above step implies that following equation must satisfy each and every data pair of point given to us ( table ). Or each and every value must lie on the line. For that each value must satisfy the equation of line.

Step 4: Write the complete equation of the relationship

Once we have evaluated the values of equation defining constants ( m and c ). We can simply plug in the values into the general equation relationship ( Linear - slope intercept form ) as follows:

Therefore, the equation for the set of values given to us is:

Answer:

I don't get it everyone is telling the wrong answers am here to tell you guys and girls the right answer. The answer is :   D     A    B    B   C   your welcome                                                                  

For a sample of study time in beginning and ending of semester of gvsu students.

95% confidence interval is ( 4.078, 4.602 ) and Upper bound is 4.602 and Lower bound is 4.078..

We have given that,

Sample size, n = 86

Standard deviations, sd = 1.24

Samle mean, X-bar = 4.34

Formula for confidence interval is

X-bar +- Z (sd/√n)

where, Z ---> test statistic value

Also, we have 95% confidence interval

Using the Z-table , we can get the value of z-statistic for 95% of confidence interval is 1.96 ..

Plugging all known values in above formula.

Confidence interval is

4.34± 1.96(1.24/√86)

=> 4.34 ± 1.96(0.1337)

=> 4.34 ± 0.2620

Upper bound of confidence interval is

4.34 + 0.2620 = 4.602

Lower bound of confidence interval is

4.34 - 0.2620 = 4.078

Hence, the upper and lower bounds of confidence interval are 4.602 and 4.078 respectively.

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Complete question:

Towards the end of the semester students are busy. Of all of the GVSU students, a sample of 86 students was taken. Study time per week at the beginning of the semester and study time at the end of the semester was recorded. The differences were then calculated End - Beginning. A sample mean difference of 4.34 hours/week with a corresponding standard deviation of 1.24 hours per week were found. Calculate a 95% confidence interval. (Remember to go to the hundredths place for both the upper and lower bounds.) Upper bond=? and

Lower bond=

Answer:

1).

Difference = $6

Interest rate= 4.03%

2).diffrence = $97

Interest rate = 14.37%

3). Difference = $7

Interest rate= 4.67%

4). difference= 191

Interest rate= 9.6%

5). Difference= 2.25

Interest rate= 3%

6). Difference=$ 302

Interest rate=9.12%

Step-by-step explanation:

1).$10 per months for 15 months

= 10*15=$150

PLus a down payment of $5= $155

Interest = 155-149= $6

Interest rate = 6/149*100= 4.03%

2.)$120.00 per month for 6 months

= 120*6=$ 720

Plus a down payment of $52=$772

Interest= 772-675= $97

Interest rate = 97/675 *100= 14.37%

3). $12.00 per month for 11 months

= 12*11= 132 plus down payment of $25

= $157

Interest= 157-150= $7

Interest rate=7/150 *100= 4.67%

4).$74.00 per month for 24 months

= 74*24=$1776

Plus a down payment of $400=$ 2176

Interest= 2176-1985= 191

Interest rate= 191/1985*100= 9.6%

5).$4.75 per week for 11 weeks

= 4.75*11=$52.25

Plus a down payment if $25

= 25+52.25=$ 77.25

Interest= 77.25-75= 2.25

Interest rate= 2.25/75 *100= 3%

6).$300 a month for 10 months

= 300*10= $3000

Plus a down payment of $600

= $3600

Interest=3600-3298= 302

Interest rate= 302/3298 *100=9.12%

a. Point P on the line and the direction vector v of the line can be expressed as P = (x0, y0, z0) + t(a, b, c).

b. The distance from the origin to the line -x=y+1, z=2 is the shortest distance between a point and a line.

Here (x0, y0, z0) is a point on the line and (a, b, c) is the direction vector. To find (x0, y0, z0) and (a, b, c), we need more information about the line.

This formula involves taking the dot product of the direction vector of the line and the difference between a point on the line and the origin. Again, we need more information about the line in order to calculate this distance.

Without more information about line L, it is not possible to find the point P or the distance from the origin to the line.

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The way the numbers will be placed in the square box will be:

First row = 4 12 14

Second row = 2 10 18

Third row = 6 8 16

It should be noted that the question is simply about adding the numbers and getting 39 in each place.

This will be:

First row = 4 12 14 = 4 + 12 + 14 = 30

Second row = 2 10 18 = 2 + 10 + 18 = 30

Third row = 6 8 16 = 6 + 8 + 16 = 30

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Answer:

about 61 percent

Step-by-step explanation:

Answer: 3

Step-by-step explanation: This is the average between your 2 numbers, 4 and 2.

Answer: its 2

Step-by-step explanation: i guessed and i got it right after this other dud said 3....ITS 2

It would take a total of 20 days to produce the batch of pens.

Let's calculate the work done by the 3 machines for the first 8 days:

Work done by 3 machines in 8 days = (3/12) * 8 = 2 days' worth of work

The remaining work that needs to be done by all 12 machines is:

Remaining work = 1 - (2/20) = 0.9

Now, we can use the work formula to find the total number of days needed to complete the remaining work with 12 machines:

Total work = 0.9

Work done by 12 machines in one day = 12/20 = 0.6

Total number of days needed = 0.9/0.6 = 1.5

Therefore, the total number of days needed to produce the batch of pens is:

8 (days with 3 machines) + 1.5 (days with 12 machines) = 9.5 days

However, we also need to add the 10.5 days it would take for all 12 machines to complete the batch from the beginning:

10.5 + 9.5 = 20 days

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The standard deviation of the data sample is 2.55.

The standard deviation of the data sample is calculated by applying the following formula;

S.D = √ (x -  μ)²/(n - 1)

where;

The given parameters;

mean,  μ = 64

x, = 12

number of samples = 9

The standard deviation of the data sample is calculated as;

S.D = √ (12 -  64)²/(9 - 1)

S.D = 2.55

Thus, the standard deviation of the data sample is calculated by applying the formula for standard deviation.

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By using the concept of dilation factor, length of BC obtained is 3 units

What is dilation factor?

Dilation is a transformation which changes the size of a figure by a certain factor.

That factor is called the scale factor

In the figure, A'B'C'D' is the image of ABCD under dilation with a scale factor of 3

A'B'C'D' is the dilated figure

Length of B'C' = 9 units

Length of BC = \(9 \div 3\) = 3 units

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Complete Question

The figure has been attached here

The point on the graph that represents the solution to the system of equations are (25, 7)

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

East High School scored a total of 71 points in their final basketball game of the season. The team successfully made a total of 32 baskets.

Now,

Since, The system of equations which can be used to model the number of two-point baskets, x, and the number of three-point baskets, y, that were made during the game are,

⇒ 2x + 3y = 71  ..(i)

⇒ x + y = 32   ..(ii)

From (ii);

⇒ x = 32 - y

Substitute above value in (i), we get;

⇒ 2 (32 - y) + 3y = 71

⇒ 64 - 2y + 3y = 71

⇒ y = 71 - 64

⇒ y = 7

And, We get;

⇒ x = 32 - y

⇒ x = 32 - 7

⇒ x = 25

Thus, The point on the graph that represents the solution to the system of equations are (25, 7).

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Parker would have approximately $13,774 in his account when Matthew's money has tripled in value.

We have,

For Matthew's investment, the continuous compounding formula can be used:

\(A = P \times e^{rt}\)

Where:

A = Final amount

P = Principal amount (initial investment)

e = Euler's number (approximately 2.71828)

r = Annual interest rate (in decimal form)

t = Time (in years)

In this case,

Matthew's money has tripled,

So A = 3P.

For Parker's investment, the formula for compound interest compounded annually is used:

\(A = P \times (1 + r)^t\)

Where:

A = Final amount

P = Principal amount (initial investment)

r = Annual interest rate (in decimal form)

t = Time (in years)

We need to find t when Matthew's money has tripled in value.

Let's set up the equation:

\(3P = P \times e^{rt}\)

Dividing both sides by P, we get:

\(3 = e^{rt}\)

Taking the natural logarithm of both sides:

ln(3) = rt

Now we can solve for t

t = ln(3) / r

For Matthew's investment,

r = 3 1/8% = 3.125% = 0.03125 (as a decimal).

For Parker's investment,

r = 2 3/4% = 2.75% = 0.0275 (as a decimal).

Now we can calculate t for Matthew's investment:

t = ln(3) / 0.03125

Using a calculator, we find t ≈ 22.313 years.

Now, we can calculate how much money Parker would have in his account at that time:

\(A = P \times (1 + r)^t\)

\(A = $8,000 \times (1 + 0.0275)^{22.313}\)

Using a calculator, we find A ≈ $13,774.

Therefore,

Parker would have approximately $13,774 in his account when Matthew's money has tripled in value.

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Answer:

20,763

Step-by-step explanation:

I saw the answer after I got it wrong

The multiplication expression involving exponents with a product of 8 over 13 will be 8⁵ x 8⁸.

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

For example, 5³ = 5² x 5 here we separate 5³ into 5² and 5 so it is called the law of indices.

The multiplication expression involving exponents with a product of 8 over 13 will be given as,

⇒ 8¹³

By the law of indices that \(\rm x^c = x^a + x^b\) such that c = a + b.

⇒ 8⁵ x 8⁸

The multiplication expression involving exponents with a product of 8 over 13 will be 8⁵ x 8⁸.

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The amount should he expect the pizza shop to tell him as his total charge will be $7122. It is obtaining by adding the service tax for the pizza and the delivery.

A  tax on services that is provided by the vendors on the customers or the consumer  is called as the service tax.

The given data in the problem is;

large pizza costs =  $10.99

Number of pizza(n)=6

Sales tax = 8%

Delivery charges=$3.00The total charge is found as;

Total charge = n × cost of each pizza+ delivery charge +service tax

\(\rm C = 6 \times \$ \ 10.99 + 8 \times \frac{10.99}{100} + \$ \ 3 \\\\ C=\$ \ 71.22\)

Hence, the value of  total charge will be $71.22 .

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b

x is 10 times greater then y 3+n 5

The preimage of the quadrilateral is in the second quadrant. The quadrilateral is reflected across the x-axis, the image would lie in the fourth quadrant.

A quadrilateral is a geometric shape that consists of four straight sides and four angles. It is a two-dimensional shape, also known as a 2D polygon, and can be defined as any closed shape that has four sides. There are many different types of quadrilaterals, each with its own unique set of characteristics.

The second quadrant is characterized by negative x-coordinates and positive y-coordinates, while the fourth quadrant has positive x-coordinates and negative y-coordinates.

If the preimage of the quadrilateral is in the second quadrant, then its x-coordinates are negative and its y-coordinates are positive.

When the quadrilateral is reflected across the x-axis, its x-coordinates will remain the same but its y-coordinates will become negative. Therefore, if the preimage is in the second quadrant and the quadrilateral is reflected across the x-axis, the image would lie in the fourth quadrant.

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Answer: (4,0) for x int and (0,-7) for y int

Step-by-step explanation:

At the x-intercept, y = 0.

14x - 8(0) = 56

14x = 56

x = 56/14

x = 4

ordered pair: (4,0)

Required solution to the system of equations represented by the matrix isx = -1/2, y = 9/2, z = 13/4.

How to solve system of equations which represent a matrix?

We can solve this system of equations using Gaussian elimination, which involves applying elementary row operations to the augmented matrix until it is in row echelon form, and then back-substituting to obtain the values of the variables.

First, we'll write the augmented matrix for this system of equations,

| 9 1 -3 | 24 |

| -1 1 1 | 10 |

| 5 5 3 | 82 |

Our goal is to transform this matrix into row echelon form, which means that:

The first nonzero element of each row (called the pivot) is to the right of the pivot of the row above it.

Any rows consisting entirely of zeros are at the bottom of the matrix.

To achieve this, we'll apply a series of row operations. The three types of elementary row operations are:

Swapping two rows.

Multiplying a row by a nonzero constant.

Adding a multiple of one row to another row.

We'll use these operations to create zeros below the pivot elements in the first column, then zeros below the pivot elements in the second column, and so on, until the matrix is in row echelon form.

| 9 1 -3 | 24 | 1. R2 -> R2+ (1/9)R1

| 0 10 -2 | 34 |

| 5 5 3 | 82 | 2. R3 -> R3 - (5/9)R1

| 9 1 -3 | 24 | 3. R1 -> (1/9)R1

| 0 10 -2 | 34 |

| 0 2 6 | 2 | 4. R3 -> R3 - (1/5)R2

| 1 1 -1/3 | 8/3| 5. R1 -> R1 - 9R2

| 0 10 -2 | 34 |

| 0 0 8/3 | 26/3|

Now that the matrix is in row echelon form, we can back-substitute to obtain the values of the variables,

x + y - (1/3)z = 8/3

10y - 2z = 34

(8/3)z = 26/3

z = (26/3)/(8/3) = 13/4

10y - 2(13/4) = 34

y = 9/2

x + (9/2) - (1/3)(13/4) = 8/3

x = -1/2

Therefore, the solution to the system of equations represented by the matrix is:

x = -1/2

y = 9/2

z = 13/4

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Answer:

3:1 ratio

Step-by-step explanation:

Answer:

its three (c)

Step-by-step explanation: for every one female bare is 3 cubs

Answer:

\( Range =1.41-0.66 = 0.75\)

\( \bar X = 1.171 W/Kg\)

\( s^2 = 0.0607\)

And taking the square root we got the sample deviation:

\( s = \sqrt{0.0607}= 0.246 W/kg\)

Step-by-step explanation:

For this case we have the following datset given:

0.83 1.39 1.39 1.03 0.66 1.26 1.39 1.18 1.41 1.19 1.15

We need to find the range, and the range is defined by:

\( Range = Max -Min\)

And replacinng we got:

\( Range =1.41-0.66 = 0.75\)

Then we can find the sample variance, but firt we need to find the sample mean with this formula:

\(\bar X = \frac{\sum_{i=1}^n X_i}{n}\)

And replacing we got:

\( \bar X = 1.171 W/Kg\)

Now we can find the sample variance with this formula:

\( s^2 = \frac{\sum_{i=1}^n (X_i -\bar X)^2}{n-1}\)

And replacing we got:

\( s^2 = 0.0607\)

And taking the square root we got the sample deviation:

\( s = \sqrt{0.0607}= 0.246 W/kg\)

Answer:

d(6) is the answer.

Answer:

300

Explanation:

look at the file below

300 is the quotient or the result of dividing 900 by 3.

The result of dividing 900 by 3 is 300.

To understand why, we perform the division operation:

= 900 ÷ 3

= 900 /3

= (3 x 3 x 2 x 2 x 5 x 5) / 3

= 3 x 2 x 2 x 5 x 5

= 3 x 4 x 25

= 12 x 25

= 300

When we divide 900 by 3, we are essentially splitting 900 into three equal parts. Each part is 300.

Therefore, 300 is the quotient or the result of dividing 900 by 3.

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The answer choice which belongs in the green box and is the longest side of the triangle as required is; 11.06.

It follows from the task content that since the sum of angles in a triangle is; 180°, the missing angle measure is; 180 - 51 - 109° = 20°.

Consequently, it follows from the sine law that;

4 / sin 20° = x / sin 109°

x = 4 sin 109° / sin 20°

x = 11.06.

Ultimately, the number that belongs in the green box is; 11.06.

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Answer:

yes

Step-by-step explanation:

idk how to explain but, yes

Answer:

Yes, Ava is correct because percentages are always going to be out of one hundred.

In this case, there is 95%, which can also be put as .95 or 95 over 100 (95/100).

Hope this helps!