in grid square a16 a single pottery sherd was found and no other artifacts were collected from nearby. does this mean that grid square a16 is not part of the site?

Front-end estimation is a particular way of rounding numbers to estimate sums and differences.

To use front- end estimation, add or subtract only the numbers in the greatest place value. Then add the decimals rounded to the nearest tenth.

Step-by-step explanation:

In front end estimation we are going to replace the original number with a number that is close by but only has one non zero digit. Examples: {20, 300, -50, 1,000, 80,000}. For example take the number 32, the choices to replace it with are 30 or 40 (they both have only one non-zero digit).

Answer:

$100

Step-by-step explanation:

Given data

Principal = 500

Interest= 5%

Time = 4years

Applying the simple interest expression

SI= PRT/100

substitute

SI= 500*5*4/100

SI= 10000/100

SI= 100

Hence the interest after 4 years is $100

The work done in the process of lifting coal up a mineshaft that is 632 feet deep is found to be  650,000 ft/lb.

For a cable of density, work = ∫k*y dy from 0 to b.

where k is the linear density of the cable (in lb/ft in this case), y is the distance from the top of the cable, and b is the total distance the weight has to travel to the bottom of the cable.

With this setting, the top of the cable should be labeled y=0 and the bottom of the cable (connected to the coal weight) should be labeled y=b. In this case, k = 2 ft/lb and b = 500 ft.

The 800 lb coal weight is additional information that we have not yet calculated.

Since pounds are a unit of force and the force to lift the coal is constant at 800 pounds, you can add the weight of 800 pounds to the integral and the work done to lift the coal is force * distance . The final integral is:

work = ∫(2y + 800) dy from 0 to 500.

integral:

Work = y2 + 800y | 0 to 500

= (500)2 + 800(500)

So, the work done is 650,000 ft/lb.

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Complete question - A cable that weighs 2 lb/ft is used to lift 800 lb of coal up a mine shaft 500 ft deep. Find the work done.

According to the information in the graph, the events of having sunglasses and preferring cake do not have a dependent relationship because neither of these variables depends on the other.

An independent variable is a type of variable that is characterized by not having modifications if other variables are modified. For example, if a person studies in a school and likes pizza, these two variables and another person studies in another school and likes pizza; liking pizza would not be a dependent variable because the first variable (belonging to a school) is not determining the second variable (preferring pizza).

In accordance with the above, the variables of having sunglasses and preferring cake do not have any dependency because both events occur independently without taking into account the occurrence of the other event because in both groups (with glasses or without glasses) there are people who prefer and do not prefer cake.

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Answer:

80% of 65

\(\frac{80}{100} *65\\=52\)

Step-by-step explanation:

Hope it will help you.

Answer:

52

Explanation:

80% out of 65

80% * 65

(80/100) * 65

(5200/100)

52

Answer:

1st: $36

2nd: $18

3rd:$9

Step-by-step explanation:

The first man gets 4

The second gets 2

The third gets 1

4 + 2 + 1 = 7

63/7 = 9

Each part equals $9

9*4  = 36

9 * 2 = 18

9 * 1 = 9

Check:

36 + 18 + 9 =

63

Let's analyze each pair of groups to determine if they are isomorphic:

(a) Z2 × Z2 and Z4:

These groups are isomorphic because they both have the same number of elements, which is 4.

(b) Z12 and Z8:

These groups are not isomorphic because they have different numbers of elements. Z12 has φ(12) = 4 elements (where φ is the Euler's totient function), while Z8 has φ(8) = 4 elements.

(c) Z*5 and Z4:

These groups are isomorphic because they both have the same number of elements, which is 4.

(d) Z2 × Z and Z:

These groups are not isomorphic because they have different numbers of elements. Z2 × Z has an infinite number of elements, while Z has a countably infinite number of elements.

(e) Q and Z:

These groups are not isomorphic because they have different structures. Q, the group of rational numbers under addition, is a non-cyclic group with infinitely many elements, while Z, the group of integers under addition, is a cyclic group with a countably infinite number of elements.

(f) Z × Z and Z:

These groups are not isomorphic because they have different structures. Z × Z is a non-cyclic group with a countably infinite number of elements, while Z is a cyclic group with a countably infinite number of elements.

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Total cost to build the ramp is $1467.4. Santiago’s has over budget to build the ramp.

Area is the amount of space occupied by a two-dimensional figure. In other words, it is the quantity that measures the number of unit squares that cover the surface of a closed figure. The standard unit of area is square units which is generally represented as square inches, square feet, etc.

Here,

Area of 2 rectangles is

2(Length×Width)

= 2(20×12)

= 480 square feet

Area of small rectangle = 12×8.5

= 102 square feet

Area of 2 triangles = 1/2×Base×Height

= 1/2 ×20×8.5

= 85 square feet

Total area = 480+102+85

= 667 square feet

Total cost to build the ramp = 667×2.20

= $1467.4

Santiago’s total budget for the materials to build the ramp and the foam pit is $3,000.

Hence, Santiago’s has over budget to build the ramp.

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"Your question is incomplete, probably the complete question/missing part is:"

The material Santiago will use to build the ramp cost $2.20 per square foot. Find the total cost of materials for the ramp? All sides are; 21.7, 20, 12 for perimeter and 8.5 for the height.

Santiago’s total budget for the materials to build the ramp and the foam pit is 3,000. With his current design, will he be over budget or under budget, and by how much?

The range of the function f(x) = log5x is (-∞, +∞).The function f(x) = log5x represents the logarithm base 5 of x. To determine the range of this function, we need to consider the possible values that the logarithm can take.

The range of the logarithm function y = log5x consists of all real numbers. The logarithm function is defined for positive real numbers, and as x approaches 0 from the positive side, the logarithm approaches negative infinity. As x increases, the logarithm function approaches positive infinity.

The range of the function is the set of all possible output values. In this case, the range consists of all real numbers that can be obtained by evaluating the logarithm

log5(�)log 5 (x) for �>0 x>0.

Since the base of the logarithm is 5, the function log5x will take on all real values from negative infinity to positive infinity. Therefore, the range of the function f(x) = log5x is (-∞, +∞).

In other words, the function can output any real number, ranging from negative infinity to positive infinity. It does not have any restrictions on the possible values of its output.

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Answer: All real numbers

Step-by-step explanation:

Edge

Answer:

1. False

2. False

3. True

4. False

Step-by-step explanation:

Therefore , the solution of the given problem of area comes out to be

A = 16 is the equation that accurately depicts how to calculate the sector's area.

Its total size can be determined by figuring out how much space is required to completely cover the outside. The immediate surroundings are taken into consideration when calculating the surface of a trapezoidal shape. The total measurements of something are determined by its surface area. A cuboid's capacity for internal water is determined by the sum of the borders that link all of it's six rectangle edges.

Here,

The formula for calculating a circle's sector's area is:

=> A = (θ/360) x πr²

where A is the sector's area, is its central angle measurement, and r is the circle's radius.

Since the radius is 8 cm and the central angle is 90 degrees in this instance, we can reduce by plugging in these values:

=> A = (90/360) x π(8²)

=>  A = (1/4) x π(64)

=>  A = π(16)

=>  A = 16π

A = 16 is the equation that accurately depicts how to calculate the sector's area.

The answer will be given in radius squared units, in this case, cm2.

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Option D. The correct calculation of the area of the sector is      \(A=(\frac{90}{360}) * (\pi 8^{2} )\)

An area of the sector is the portion of the area of a circle that is enclosed by two radii and an arc. The area of a sector can be found using the formula:

A = (θ/360)πr²

where A is the area of the sector, θ is the central angle of the sector (in degrees), π is a mathematical constant approximately equal to 3.14, and r is the radius of the circle.

Given, the radius is 8 cm and the central angle is 90° in this instance, put all these values:

\(A=(\frac{90}{360}) * \pi (8^{2} )\)

or we can write down, \(A=(\frac{90}{360}) * (\pi 8^{2} )\)

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The correct graph that models this exponential decay would show a decreasing trend as x (the number of years) increases. we need to consider the information given regarding its decrease in value.

The piece of machinery decreases in value by 22.5% each year. This means that its value after one year is \(100\% - 22.5\% = 77.5\%\) of its original value. In other words, its value is 0.775 times its original value.

To model the value of the machinery after x years, we need to consider the exponential decay function. The general form of an exponential decay function is:

y = \(a(1 - r)^x\)

Where:

- y represents the value after x years.

- a represents the initial value.

- r represents the decay rate (expressed as a decimal).

In this case, the initial value (a) is $150,000 and the decay rate (r) is 22.5% or 0.225.

Therefore, the equation representing the value of the piece of machinery after x years would be:

y = \(\$150,000 * (1 - 0.225)^x\)

Simplifying the equation further, we have:

y = \(\$150,000 * (0.775)^x\)

From this equation, we can see that the value of the machinery decreases exponentially over time. The correct graph that models this exponential decay would show a decreasing trend as x (the number of years) increases.

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P1-P2>0 is the condition by hypothesis in proportion of items in population 2.

What is a simple definition of a hypothesis?

P1 >P2

P1-P2> 0

Null hypothesis H0 : P1-P2 ≤ 0

Alternative hypothesis (Ha) : P1-P2>0

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all of the options provided correctly describe the procedures used to determine the number of significant digits in a reported quantity.

All of the options provided are accurate descriptions of the process used to determine the number of significant digits in a reported quantity. The first option states that all digits from the first nonzero digit onward (going to the right) are significant if there is a decimal point. The second option states that if the quantity has no decimal point, zeros to the right of the nonzero number may or may not be significant. The third option suggests that you should start at the left and move right until you reach the first nonzero digit. The fourth option suggests that you should start at the right and count all the nonzero digits in the number. The fifth option says that zeros between other nonzero digits are not significant if there is no decimal point. Therefore, all of the options provided correctly describe the procedures used to determine the number of significant digits in a reported quantity.

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Answer:

B

Step-by-step explanation:

You can plug equations into Desmos as well. Here, you can first cross out c because the graph technically isn't a function. As for the others, D doesn't work because the vertex doesn't match and B is the answer because the parabola opens to the left.  

The equations of the parabola is,

⇒ y = - 2 (x - 4)² - 1

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

Given that;

The vertex of the parabola below is at the point (4, -1).

Now, We can see that;

Parabola is open in - x axis.

And, The vertex of parabola is, (4, - 1)

Thus, The equations of the parabola is,

⇒ y = - 2 (x - 4)² - 1

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The equation given by Mrs. Fisher to model the height of the plant is y = nx - 1.2, where y represents the height in centimeters and x represents the number of weeks. We need to determine the reasonable value for n.

To find the value of n, we can use the data provided in the problem. We have three data points: (4, 2), (7, 4.5), and (9, 6). Substituting these values into the equation, we can form three equations: 2 = 4n - 1.2, 4.5 = 7n - 1.2, 6 = 9n - 1.2. Solving these equations will give us the value of n that best fits the data. Substituting the values and solving the equations will yield the reasonable value for n.

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The standard equation of a circle is expressed as:

x² + y² + 2gx + 2fy + c = 0

In which:

The given equation of circle is:

x² + y²  – 2x – 8 = 0

Find its centre.

2gx = -2x

2g = -2

g = -1

And, 2fy = 0

f = 0

Thus,

Centre = (-(-1), 0) = (1, 0)

This demonstrates that the circle's centre is on the x-axis.

Now,

r = radius = √g²+f²-C

radius = √1²+0²-(-8)

radius =√9 = 3 units

Thus, radius of circle is found as 3 units.

For the given circle x² + y² = 9,

r² = 9

r = 3 units

As a result, this circle's radius matches that of the circle with equation:

x² + y² = 9.

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Answer:

Call option and put option ( D )

Step-by-step explanation:

During hedging in stock/financial markets both the Call and put option can be used to hedge the trading position of the trader against the change in exchange. This is because the call or put option is used depending on the initial position of the trader.

Call option is used when the trader is currently holding a short position

Put option is used when the trader is currently holding a long position

Answer:

  the operations in each pair are inverse operations

Step-by-step explanation:

Addition and subtraction are inverse operations. That is, each "undoes" the effect of the other.

Multiplication and division are inverse operations, in that each "undoes" the effect of the other. (The exception is that there is no inverse operation for multiplication by zero.)

Answer:

2^12=2*2*2*2*2*2*2*2*2*2*2*2=4*4*4*4*4*4=16*16*16=256*16=4096

Step-by-step explanation:

Answer:

ABH and HBC ---- Complementary angles ( Sum of complementary anfges = 90 degrees )

ABE and FBG------Vertical angles (they are vertically opposite to each other and sum of the vertical angles =180

ABE and EBG-------Supplementary angles ( Sum of supplementary angles =180 degrees)

HBF and FBG----------Adjacent Angles(These two angles are next to each other/adjacent to each other )

Answer:

I think it should be -2.5,-4.5

Answer: Yes the answer is -2.5 , -4.5

Step-by-step explanation:

This is not only because the X axis is always first, but also because the lines are not perfectly centered. Hope this helps! Give the other person brainliest, they answered first and they have never gotten one.

Combine like terms , we get \(g^3+3g^2+2g\).

In Algebra, the like terms are defined as the terms that contain the same variable which is raised to the same power. In algebraic like terms, only the numerical coefficients can vary. We can combine the like terms to simplify the algebraic expressions so that the result of the expression can be obtained very easily.

For example, 4x + 10x is an algebraic expression with like terms. In order to simplify this algebraic expression, we can add the like terms. Thus, the simplification of the given expression is 14x. In the same way, you can perform all the arithmetic operations on the like terms.

Collect like terms:

\(g^3+g^2+g+2g^2+g\)

Combine like terms:

\(g^3+3g^2+2g\)

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Answer:

8÷4+7-3 =6

8÷4+2-1 =3

6÷2+5-1 = 7

5÷1+6-2= 9

0÷5+4+3= 1

(1) The missing numbers are 2 and 5

(2) The missing numbers are 4 and 0

(3) The missing numbers are 6 and 8

(4) The missing numbers are 1 and 9

(5) The missing numbers are 7 and 3

The solution to the given problem is as follows;

In order of mathematical operation, we resolve division first before addition and finally subtraction.

In this problem we are to choose numbers from 0 to 9 and assume that no number will be repeated.

(1) (8 ÷ 2) + (5 - 3) = 6

⇒  4 + 2 = 6

so the missing numbers are 2 and 5

(2) (4 ÷ 4) + (2 - 0)= 3

⇒  1   +  2  = 3

so the missing numbers are 4 and 0

(3) (6 ÷ 2) + (6 - 1) = 8

⇒ 3 + 5 = 8

so the missing numbers are 6 and 8

(4) (5 ÷ 1) + (6 - 1) = 9

so the missing numbers are 1 and 9

(5)  (0 ÷ 7) + (4 - 3) = 1

so the missing numbers are 7 and 3

Thus, all the numbers from 0 to 9 have been used and non was repeated.

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Answer:

Step-by-step explanation:

Increase

Increase = \(\dfrac{4}{5}-\dfrac{2}{5}=\dfrac{2}{5}\)

Increase percentage = 2/5 out of 2/5 * 100

                                    \(=\dfrac{2}{5}*\dfrac{5}{2}*100\)

                                     = 100 %

Answer:

so what do we find the hight?

Step-by-step explanation:

Answer:

The answer is D

Step-by-step explanation:

When the exponent is negative then you go in to decimals

Answer:

since its a negative number you need to to go to the decimals> therefore the answer would be (D)

Answer: 5 5/6

Step-by-step explanation: make them both into fractions so 7/1 and 5/6 multiply across 7*5=35 and 1*6=6 simplify that down into a mixed number gives you 5 5/6

9514 1404 393

Answer:

Step-by-step explanation:

Where x represents the previous year's salary, its amount this year is said to be ...

  x + 2000

The equation is trying to reflect the fact that 7% of that is $3,290. The missing number is 2000:

  0.07(x +2000) = 3290

__

Solving for x, we find ...

  x = (3290/0.07) -2000 = 45000

Sandra's salary the previous year was $45,000.

The calculated value of the mean of the data values $35, $42, $52, $38, and $42 is $41.8

From the question, we have the following parameters that can be used in our computation:

Workers = 5

Hourly rates = $35, $42, $52, $38, and $42.

The mean of the data is calculated as

Mean = Sum of data/Number of workers

Substitute the known values in the above equation, so, we have the following representation

Mean = (35 + 42 + 52 + 38 + 42)/5

Evaluate the sum of the numerator

Mean = 209/5

Evaluate the quotient of 209 and 5

Mean = 41.8

Hence, the mean of the data is $41.8

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Complete question

Five plumbers charge different hourly rates: $35, $42, $52, $38, and $42.

Find the mean of the data.