A pyramid is composed of six isosceles triangles and a hexagonal base. Each isosceles triangle has a height of 6 in. and a base of 10 in. The area of the hexagonal base is 259.8 in².

What is the surface area of the pyramid?

An equation that represents the number of miles, m, Enrique walks in w weeks will be N = 32T.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that every week, Enrique walks one mile each day for 4 days a week. He can usually walk 1 mile in about 14 to 16 minutes. Estimate the number of minutes Enrique will spend walking over an 8-week period.

The expression for the total time will be calculated as:-

N = 32 x T

Here, T is the time in minutes for running per mile.

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Answer:

FV = $1,200 * e^(0.09*10)

Step-by-step explanation:

The equation used to calculate the future value of an investment compounded continuously is:

FV = PV * e^(r*t)

where:

FV = future value

PV = present value (initial investment) = $1,200

r = annual interest rate (9% = 0.09)

t = number of years (10 years)

So, the future value of the investment would be:

FV = $1,200 * e^(0.09*10)

The total estimated work cost for the project would be $5200 ($5000 + $200).

The formula for calculating the estimated work cost for a project is C = P x T, where C is the estimated cost, P is the hourly rate of the personnel and T is the total amount of time spent working on the project. For example, if the hourly rate of a project manager is $50 and they work 100 hours on the project, the estimated work cost would be $5000 (50 x 100). In addition, any equipment that is used on an hourly rental basis should also be included in the estimated work cost calculation. For example, if a piece of equipment is used for 10 hours at a rate of $20 per hour, the estimated cost for this equipment would be $200 (20 x 10). Therefore, the total estimated work cost for the project would be $5200 ($5000 + $200).

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The area of rectangle ABCD exists 12  sq. units.

A polygon's vertex is a location where the sides or edges of the item or two rays or line segments meet. Vertex is a noun, whereas vertices is the plural.

Vertices are the points at which the edges of the three-dimensional shape converge. Edges are the lines that separate two faces, while faces are flat surfaces.

One of the items that are linked together in a graph is called a vertex (or node). The terms "edges" or "links" refer to the connections between the vertices. a network with ten nodes (or vertices) and eleven edges (links).

The coordinates of point D exists (3,3).

Area of rectangle ABCD = l × b = AB × BC

On further calculation we get

Area of rectangle ABCD = 6 × 2

Area of rectangle ABCD = 12  sq. units

Therefore, the area of rectangle ABCD exists 12  sq. units.

The complete question is:

Three vertices of a rectangle ABCD are A(3,1), B(-3, -1) and C(-3, 3). Plot these points on the graph paper and find the coordinates of the fourth vertex D. Also, find the area of the rectangle ABCD.

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The mean of the sample data is 9.91 ounces and the standard deviation is 0.16 ounces.  

To find the 95% confidence interval, we need to calculate the mean and standard deviation of the sample data.  The 95% confidence interval can then be calculated as the mean ± 1.96 times the standard deviation, which is (9.59, 10.23) ounces.

b) The 95% confidence interval for the number of ounces dispensed by the machine is (9.59, 10.23) ounces.

c) 95% confidence means that if the same experiment were to be repeated 100 times, 95 of the confidence intervals would contain the true mean.

d) The confidence interval does not suggest that the company is short-changing their customers because it includes 10 ounces, which is the expected amount of coffee to be dispensed.

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Correlation: A correlation is a statement that suggests there is a relationship between two variables, where a change in one variable tends to follow or be associated with a change in another variable.

A correlation is a statement that suggests there is a relationship between two variables. It does not necessarily mean that a change in one variable will cause a change in the other variable, but that a change in one tends to follow or be associated with a change in the other. For example, a correlation could be made between the amount of rainfall a region receives and the number of plants that are able to grow there. If the rainfall increases, then the number of plants that can grow in the region is likely to increase as well. A correlation can be either positive or negative, with a positive correlation meaning that an increase in one variable will likely result in an increase in the other, and a negative correlation meaning that an increase in one variable will likely result in a decrease in the other. Correlation can be used to make predictions, but should not be confused with causation, as correlation does not necessarily imply causation.

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The complete question: which of the following refers to a statement that  there is a relationship between two variables that can change in one variable tends to follow or be associated with a change in another variable?

Answer:

-2.5, -2.02, -11/4

Step-by-step explanation:

Any number beginning with -2 will be the answer. -11/4 is -2.75 when converted to a decimal!

The missing value in the solution to the equation is 4. The value of x is 4 and y is -6 which is (4, -6).

A solution to an equation is a value or values that make the equation true. For example, if the equation is x + 3 = 7, then the solution to the equation would be x = 4.

To solve an equation, you must use a combination of addition, subtraction, multiplication, division, and algebraic manipulations to isolate the unknown variable. For instance, to solve the equation x + 3 = 7, you would subtract 3 from both sides of the equation to find x = 4.

It is important to note that an equation may have more than one solution. For example, the equation x2 + 4 = 0 has two solutions, x = 2 and x = -2.

In some cases, equations may not have a solution. This happens when the equation is not true for any value of the unknown variable. For example, the equation 0 = 1 is not true for any value of x, so it does not have a solution.

In summary, a solution to an equation is a value or values that make the equation true. To solve an equation, you must use a combination of addition, subtraction, multiplication, division, and algebraic manipulations to isolate the unknown variable. An equation may have multiple solutions or no solution at all.

The given equation is 4x + y = 10.

We have the value of y is -6,

To find the value of x, using the equation 4x + y = 10

4x - 6 = 10

4x = 10 +6

4x = 16

x = 4

The missing value in solution is 4.

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Length (in ft) x Width (in ft) = area in sq. ft

Hope this helps

I'm not good at math so I got this from my notes :)

If it doesn't help then it was worth an attempt...

Answer: It is 36cm the height of it and the length W times L

Step-by-step explanation:

Thomas invested $3,000 into a bank account with a 5% interest return compounded annually. then the following equations indicates the total amount of money 3000(1.05)^1/16

Thomas invested $3,000 into a bank account with a 5% return compounded annually.

A: represents the current balance or compound amount in the account.

P: represents the principal (the original amount deposited).

R: annual interest rate (in decimal form).N: the number of times per year that interest is compounded .T: time in years the money has been invested.

The formula of interest is A=P (1+r)ⁿ

A=Final amount  

P= Principal ( deposit invested)  

r= interest rate

n= time

So,  in this case

P=$3,000

r= 5% or 0.05

n=1/ 16

Replacing

A=3000(1+0.05)^1/16

A=3000( 1.05)^1/16

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B and E are true.The regression output can be used to determine whether there is a relationship between Red Sox away games and daily revenue.

The output can also be used to calculate the average daily revenue for each scenario.

For the scenario where the Red Sox do not play away, the output will give the average daily revenue, which is $1,768.32. So, statement A is true.

For the scenario where the Red Sox play away, the output will give the average daily revenue, which is $2,264.57. So, statement B is true.

For the scenario where the Red Sox do not play away, the output will also give the average daily revenue, which is $1,272.07. So, statement D is false.

Finally, the output can be used to calculate the difference between the average daily revenue when the Red Sox play away and when they do not, which is $496.25. So, statement E is true.

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Answer: 3,-5

Step-by-step explanation:

Answer: (3, -5)

......................................

Answer:

x=12

y=8

Point form: (12,8)

Step-by-step explanation:

I've done this question before

Answer:

y=8 and x=12

Step-by-step explanation:

2x+y =32

multiply by 1

= 2x+y=32

x+3y=36

multiply by 2

=2x+6y=72

2x+y=32 - 2x+6y=72

=5y/5=40/5

=y=8

2x+y=32

=2x+8=32

=2x=32-8

=2x=24

=2x/2=24/2

=x=12

It is discovered that the phrase under the division symbol is 3x2 - (b - 2)x - c, meaning that b = 5 and c = 3.

find the roots of  x2 - x - 1  =  0    

--->     Using the quadratic formula, the roots are  [ 1 + sqrt(5) ] / 2   and   [ 1 + sqrt(5) ] / 2.

Placing these values into the equation  x5 - bx - c  =  0,  we get:

x  =  [ 1 + sqrt(5) ] / 2   --->   ( [ 1 + sqrt(5) ] / 2 )5   -  b( [ 1 + sqrt(5) ] / 2 )  -  c  =  0

--->    [ 176 + 80sqrt(5) ] / 32  -  ( [ 1 + sqrt(5) ] / 2 )b  -  c  =  0

multiplying by 32     --->    176  +  80sqrt(5)  -  16b  -  16sqrt(5)b  -  32c  =  0

Using the same steps for x  =  [ 1 - sqrt(5) ] / 2 , we get:     176  -  80sqrt(5)  -  16b  +  16sqrt(5)b  -  32c  =  0

Now, let's combine these two results:      176  +  80sqrt(5)  -  16b  -  16sqrt(5)b  -  32c  =  0

   176  -  80sqrt(5)  -  16b  +  16sqrt(5)b  -  32c  =  0

Subtract the lower equation from the upper:      160sqrt(5)  -  32sqrt(5)b  =  0   --->     160sqrt(5)  =  32sqrt(5)b     --->     b  =  5

Now, substitute this value for b into  176  +  80sqrt(5)  -  16b  -  16sqrt(5)b  -  32c  =  0

--->176  +  80sqrt(5)  -  16(5)  -  16sqrt(5)(5)  -  32c  =  0    

--->176  +  80sqrt(5)   - 80  -  80sqrt(5)  - 32c  =  0

--->96  -  32c  =  0

--->c  =  3

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The function g(16) = -1/2 x + 5 is solved by substitution to get -3

The process of changing an algebraic letter to it's value corresponds to the procedure known as substitution.

In the problem, the equation g(16) = -1/2 x + 5,

Considering the equation, the value of x is 16. The letter x will be replaced by 16 in the equation

g(16) = - 1/2 x + 5

g(16) = - 1/2  * 16 + 5

g(16) = - 8 + 5

g(16) = -3

Substituting x = 16 in the equation g(16) = -1/2 x + 5 results to a solution of -3

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In a single triangle, there is a 40-degree and a 60-degree angle.

A triangle is a three-sided polygon with three vertices. The triangle's internal angle, which is 180 degrees, is constructed. It implies that the internal angles of a triangle add up to 180 degrees.

Triangles of the scalene, isosceles, and equilateral varieties differ from one another in terms of side length. The triangle is a scalene triangle if the lengths of the three sides are all different. An isosceles triangle is one with all three sides having equal lengths.

A 40-degree and a 60-degree angle are both present in one triangle. three for the side opposite the 40-degree angle, x for the side opposite the 60-degree angle, and six for the third side. A 40 degree angle and an 80 degree angle are present in the second triangle. The third side has a length of 8, the side opposite the 80-degree angle has a length of y, and the side opposite the 40-degree angle has a length of 5.

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because rules are meant to be guided and I also steps for acquiring what you need

The word used incorrectly in the sentence is "envelopes".

The word used incorrectly in the sentence is "envelopes". The comment should be "envelopes" instead. This is because "envelopes" is a plural noun, referring to more than one envelope. The apostrophe in "envelopes" implies possession, indicating that the envelopes belong to someone or something, but it is not necessary for this context.

Hence, the correct sentence should be "The mailperson's job is to put the envelopes in every mailbox on the block."

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Answer :

0.783

Step-by-step explanation:

We know that,

sin^2 (x) + cos^2 (x) = 1

Thus,

[tex] \sin^{2} (A) + cos^{2} (A) = 1 \\ cos^{2} A =1 - sin^{2} A \\ cos^{2} A = 1 - (0.622)^{2 } \\ cos^{2} A = 1 - 0.386884 \\ cos A = \sqrt{0.613116} \\ = 0.783[/tex]

Based on this inequality x – 6y < 12, the ordered pair (7, -1) is not a solution.

In Mathematics, an ordered pair is sometimes referred to as a coordinate and it can be defined as a pair of two (2) elements or data points that are commonly written in a fixed order within parentheses as (x, y), which represents the x-coordinate (abscissa) and the y-coordinate (ordinate) on the coordinate plane of any graph.

In order to determine if (7, -1) is a solution of the given linear equation, we would have to test the given ordered pair by substituting its values into the linear equation as follows;

x – 6y < 12

7 – 6(-1) < 12

7 + 6 < 12

13 < 12 (False).

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For the function ƒ(x) = 2 (x − 10)² + 6 then F⁻¹ = [tex]\frac{x- 6}{2}[/tex] + 10 is the inverse of the given functions.

y = [tex]\frac{x - 6}{2}[/tex] + 10

F⁻¹ = [tex]\frac{x -6 }{2}[/tex] + 10

A function that is capable of reversing into another function is referred to as an inverse function or anti function. Simply put, if a function is denoted by "f" or "F," then the inverse function is denoted by "f-1" or "F-1." The inverse function returns the original value for which a function provided the output.

If any function "f" takes x to y, then the inverse of "f" will take y to x. A function that consists of its inverse retrieves the original value when considering functions, where f and g are inverses, and f(g(x)) = g(f(x)) = x. Then, the opposite of f(x) is g(y) = (y-5)/2 = x.

The equation of the inverse relation can be obtained by substituting every y in the equation for every x in the equation that describes the relation between the variables x and y.

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A Prime factor is a natural number that has only two factors namely 1 and the number itself. One is not a prime number. Prime factors are odd in nature except for 2 because 2 is the only even prime factor. Example of prime factors are 2,3,5,7,11 etc

def print_prime_factors(number):

 factor = 2

 while factor <= number:

   # Check if factor is a divisor of number

   if number % factor == 0:

     # If it is, print it and divide the original number

     print(factor)

     number = number / factor

   else:

     # If it's not, increment the factor by one

    factor+=1

 return "Done"

print_prime_factors(100)

Complete question- Above mentioned is the correct code with all blanks filled.

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Answer:

82

Step-by-step explanation:

average class score=total number of test scores/number of test scores

sum up the scores 79+82+85+91+97+73+88+87+85+92+90+85+86+91+94+85+92

=1482÷18=82.33333

=82

Answer: A

Step-by-step explanation:

Present value of F (P) = Compound amount (F) (1+periodic rate)

Mary owes $13564 income tax.

Governments apply income taxes as a sort of tax on the income produced by people and businesses under their control. Government duties, public services, and citizen goods are all paid for through income tax revenue.

Given that the taxable income is $68,562.

Income tax is the tax charged on an individual's or entity's income

Using the table as a guide, $68,562 falls within the income range $31,850 - $77,100

So, the tax is $4386 added to 25% of the excess over $31850

This is calculated as:

tax = $4386 + 25%(income - 31,850)

In our case,

income = $68562

Substitute $68,562 for income

Tax = $4386 + 25%(68,562 - 31,850)

Solve the expression in the bracket

tax = 4386 + 9178

Add the terms of the expression

tax = 13,564

therefore, Mary owes $13564 in income tax.

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Answer: Sorry!

Step-by-step explanation:

Hello! I can help you if you can add the photo and fix the typos.  

For a family of linear functions with slope 2, the equation is y = 2x + b, where b is the y-intercept. For a family of linear functions such that f(2) = 1, the equation is y = x + b, where b is the y-intercept. Both families of linear functions have the same equation, y = x + b, and all functions belonging to both families have a slope of 1 and a y-intercept of b.

(a) The equation for the family of linear functions with slope 2 is y = 2x + b, where b is the y-intercept. To sketch several members of the family, plot several points (x, y) with the equation, then connect the points to form a line.

(b) The equation for the family of linear functions such that f(2) = 1 is y = x + b, where b is the y-intercept. To sketch several members of the family, plot several points (x, y) with the equation, then connect the points to form a line.

(c) The equation for both families of linear functions is y = x + b, where b is the y-intercept. All functions belonging to both families have a slope of 1 and a y-intercept of b.

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The Equation of the line which has a slope of 1/5 and passes through (-10,4) will be  [tex]y = \frac{1}{5} x + 6[/tex] .

Given, We have the slope of the line = 1/5 and a  point (-10,4) though which the line passes. We know that the form of a linear line is y=mx + c (slope intercept form) where m is the gradient/slope of the line and c is the point where it intercepts the y axis on the graph. We can directly put the value slope in the place of m.

To find C , we can put the coordinates of the given point in the equation to solve for C. Therefore :

⇒ y = mx + c

⇒y =  1/5 x + c

⇒4 = 1/5 x (-10) + c

⇒4 = -2 + c

⇒ 4 +2 = c

⇒c =  6

Putting all the values in equation gives us the linear equation of the line :  [tex]y = \frac{1}{5} x + 6[/tex]

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The complete question is :

What is the locus/ linear equation/ equation of the line that has a slope of 1/5 and passes through coordinates (-10,4)?