The method of documentation described is called gridding. Gridding involves setting up squares of known dimensions (e.g. 1 meter) over the entire pattern, usually starting at the center.
Gridding is setting up squares of known dimension over the entire pattern. The squares are then numbered in a clockwise fashion, allowing each individual artifact found within them to be documented and identified. Gridding ensures that all artifacts found within a pattern can be located and identified. Additionally, it helps to compare patterns with one another and to compare them to other patterns.
Gridding requires the excavation of a larger area than would otherwise be necessary, but the information that is obtained is worth the effort. The data obtained from gridding can be used to compare the relative amounts and types of artifacts present in various locations, which can be used to infer the type of activity that was conducted in the area. Furthermore, it allows for the accurate identification and documentation of individual artifacts, which can be extremely useful for studying a specific culture.
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the amount of jen's monthly phone bill is normally distributed with a population mean of $86 and a population standard deviation of $9. between what two values are 68.26% of her phone bills? $ and $ . (your answers should be integers - no decimal places.)
If the amount of jen's monthly phone bill is normally distributed with a mean of $86 and standard deviation of $9, Between the values of $77 and $95 inclusive, 68.26% of Jen's phone bills are expected to fall.
To find the values between which 68.26% of Jen's phone bills lie, we need to use the properties of the normal distribution and the empirical rule.
The empirical rule states that for a normal distribution, approximately 68% of the data lie within one standard deviation of the mean. Therefore, we can find the values between which 68.26% of Jen's phone bills lie by calculating the range of values that are one standard deviation away from the mean.
Using the given population mean of $86 and population standard deviation of $9, we can calculate one standard deviation as follows:
One standard deviation = population standard deviation = $9
To find the lower and upper bounds for 68.26% of Jen's phone bills, we can subtract and add one standard deviation from the mean, respectively:
Lower bound = population mean - one standard deviation = $86 - $9 = $77
Upper bound = population mean + one standard deviation = $86 + $9 = $95
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the radius of a sphere decreases at a rate of 3 m / s . find the rate at which the surface area decreases when the radius is 8 m . answer exactly or round to 2 decimal places.
The rate at which the surface area of the sphere is decreasing when the radius is 8 meters and decreasing at a rate of 3 m/s is approximately -192π square meters per second.
Let's start by finding the formula for the surface area of a sphere. The surface area (A) of a sphere with radius (r) is given by the formula:
A = 4πr²
Now, we need to find the rate at which the surface area is changing with respect to time (t) when the radius is 8 meters and the rate of change of radius is 3 m/s.
To find dA/dt, we need to differentiate the formula for surface area with respect to time, using the chain rule:
dA/dt = d/dt (4πr²) = 8πr (dr/dt)
Here, we have used the fact that the derivative of r² with respect to time is 2r (dr/dt) by the chain rule. Now, we can substitute the given values into the formula to find the rate of change of surface area:
r = 8 m (given)
dr/dt = -3 m/s (negative sign because the radius is decreasing)
π ≈ 3.14 (constant)
dA/dt = 8πr (dr/dt)
dA/dt = 8π(8)(-3)
dA/dt = -192π
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The scale factor of two similar hexagons is 7:3.
The area of the smaller hexagon is 18 m2.
What is the area of the larger hexagon?
Question options:
5832 m2
324 m2
42 m2
98 m2
36 m2
Answer:
42 m2
Step-by-step explanation:
3=18
7=?
=7 × 13 ÷ 3
=42
The door is 0. 9 m wide and 2. 1 m high. Each of the four windows is 1. 5 m wide and 1. 2 m high. Work out the total area of the door and the four windows
Answer: The total area for the door is 1.89 and the total area for the windows is 7.2
Step-by-step explanation:
door+ 0.9 x2.1= 1.89 and window= 1.5 x 1.2=1.8 x 4= 7.2
professor salton's research is about the relationship between work and study among college students. in his survey, he asked respondents to report how many hours they work for a non-academic job. professor salton's measure for work is:
Professor Salton's measure for work is the number of hours worked for a non-academic job, as reported by respondents in his survey.
This measure is a simple but effective way to gain an understanding of how work can impact a student's academic studies. It provides a direct measure of the amount of time that students spend working outside their academic pursuits, and can be used to quantify the potential effects of working on their educational success.
By taking this measure, Professor Salton has provided an effective way of analyzing the relationship between work and study. It allows researchers to determine whether working has an impact on student performance and academic outcomes. It also allows researchers to investigate whether certain types of work, such as part-time or full-time employment, have more of an impact than others.
Ultimately, this measure is an invaluable tool for researchers to gain a better understanding of the effects of work on student success.
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State the degree of the polynomials
2r^3v + 150r – r^4 v^2
Answer:
11
Step-by-step explanation:
add up the exponents
3+1+1+4+2=11
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please help ASAP!!!!!
PLEASE HELP AND PLEASE SHOW ALL STEPS IT WOULD BE VERY MUCH APPRECIATED!!
Answer:
I got to #1 and #3 but I didn't finish in time and I have to leave before I can finish the other ones, my apologies. The solve and steps for 1 and 3 are below. If no one has answered the other two I can probably solve the other two later tonight!
Hope this helps!
When an electric current passes through two resistors with resistance r and s, connected in parallel, the combined resistance, R, can be calculated from the equation
1/R = 1/4+1/s
where R, r , and s are positive. Assume that s is constant.
Find dr/ DR
Is R and increasing or decreasing function of r?
(Enter increasing, decreasing, neither, or both (write both if there are values of r for which R is increasing, and other values for which it is decreasing; enter neither if this is a constant function.)
If we consider the interval aImage for When an electric current passes through two resistors with resistance r and s, connected in parallel, the combrImage for When an electric current passes through two resistors with resistance r and s, connected in parallel, the combb, where does R take on its global maximum and minimum values?
maximum: r=
minimum: r=
(Enter none if there is no global maximum or minimum for this function.)
The combined resistance, R, of two resistors with resistances r and s connected in parallel can be calculated using the equation:
[tex]1/R = 1/r + 1/s[/tex]
When an electric current passes through these resistors, the combined resistance depends on the values of r and s. To analyze the behavior of R with respect to r, we can rewrite the equation as:
[tex]R = (rs)/(r + s)[/tex]
R is a function of r and s, and its behavior depends on the values of r and s. If r and s are positive, the function is neither increasing nor decreasing globally, as it depends on both r and s values. However, for specific values of r and s, the function can be either increasing or decreasing locally.
There is no global maximum or minimum for this function because it depends on the specific values of r and s, and it can take any positive value depending on these resistances. So, the answer is none for global maximum or minimum.
In summary, the behavior of the combined resistance R when an electric current passes through two resistors connected in parallel depends on the values of r and s. It is neither globally increasing nor decreasing and has no global maximum or minimum.
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x(z ÷ 3)^2 where x = 4 and z = 9 calculate
Answer: 36
Step-by-step explanation:
4(9/3)(2) = 36
Answer:
x(z ÷ 3)² = 36
Step-by-step explanation:
Given expression,
→ x(z ÷ 3)²
Now we have to use,
→ x = 4
→ z = 9
Let's simplify the expression,
→ x(z ÷ 3)²
→ 4(9 ÷ 3)²
→ 4 × (3)²
→ 4 × 9
→ 36 => {answer}
Therefore, the answer is 36.
A hexagon with an area of 75 square inches is dilated by a scale factor of 3. What is the area of the new hexagon?
From the given information provided, the area of the new hexagon when dilated by scale factor is 675 square inches.
When a polygon is dilated by a scale factor of k, its area is multiplied by k².
A hexagon is a six-sided polygon. It is a flat shape with straight sides, and all six of its angles add up to 720 degrees.
In this case, the hexagon is being dilated by a scale factor of 3, so the area of the new hexagon will be:
Area of new hexagon = (scale factor)² x Area of original hexagon
Area of new hexagon = 3² x 75
Area of new hexagon = 9 x 75
Area of new hexagon = 675 square inches
Therefore, the area of the new hexagon is 675 square inches.
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Please help fast thankyou
Answer:
[tex]y = \frac{2}{7} x - \frac{20}{7} [/tex]
Step-by-step explanation:
[tex] - 2 = \frac{2}{7} (3) + b[/tex]
[tex] - \frac{14}{7} = \frac{6}{7} + b [/tex]
[tex]b = - \frac{20}{7} [/tex]
[tex] y = \frac{2}{7} x - \frac{20}{7} [/tex]
trough is 10 ft long and its ends have the shape of isosceles triangles that are 3 ft across at the top and have a height of 1 ft. if the trough is being flled with water at a rate of 12 ft 3 ymin, how fast is the water level rising when the water is 6 inches deep?
The water level is rising at a rate of 32 ft/min when the water is 6 inches deep.
How to solve rise of water level?
Let's first draw a diagram to better understand the problem:
/|\
/ | \
/ | \
/ |h \
/ | \
/ | \
/ | \
/ | \
/ | \
/ | \
/_________|
b
where h is the height of the water, b is the width of the trough at water level, and 10 is the length of the trough.
Since the trough is being filled at a rate of 12 ft³/min, the volume of water in the trough is increasing at a rate of 12 ft³/min. Let's use this to find the rate at which the water level is rising.
The volume of water in the trough is given by the formula:
V = (1/2)bh²
where b is the width of the trough at water level, h is the height of the water, and 1/2 is the area of the triangular cross-section of the trough. We want to find the rate at which h is changing when h = 6 inches = 0.5 ft.
Differentiating both sides of the formula with respect to time t, we get:
dV/dt = (1/2)(db/dt)(h^2) + (1/2)(b)(2h)(dh/dt)
where db/dt is the rate at which the width of the trough at water level is changing, and dh/dt is the rate at which the water level is changing (i.e., the rate we want to find).
We know that dV/dt = 12 ft³/min and h = 0.5 ft. We also know that the width of the trough at the water level is 3 ft. To find db/dt, we need to use similar triangles. The triangle formed by the water and the sides of the trough is similar to the isosceles triangle at the end of the trough. Therefore, the ratio of the width of the trough at the water level to the height of the water is constant:
b/h = 3/1
Solving for b, we get:
b = 3h
on diffrentiating
db/dt = 3(dh/dt)
Substituting the values we know into the formula for dV/dt, we get:
12 = (1/2)(3h)(h²) + (1/2)(3h)(2h)(dh/dt)
12 = (3/2)h³+ 3h²(dh/dt)
4 = h²(dh/dt)
Solving for dh/dt, we get:
Therefore, the water level is rising at a rate of 32 ft/min when the water is 6 inches deep.
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Please Help i need the full answer
The value of x in the intersected chord is 72.95 degrees.
How to find the inscribed angle using arc angle?If two chords intersect inside a circle, then the measure of the angle formed is one half the sum of the measure of the arcs intercepted by the angle and its vertical angle.
The chords intercepts to form two arc angles 42.9 and 103 degrees. The inscribed angle formed by the intersected chord can be found as follows:
Therefore,
x = 1 / 2 (103 + 42.9)
x = 1 / 2 (145.9)
x = 72.95
Therefore,
x = 72.95 degrees
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Write an equation of a line in slope-intercept form that is parallel to y=-3x-5 and goes through the point (-1,8)
Answer:
y=-3x+5
Step-by-step explanation:
A line that is parallel to y=-3x-5 will have the same slope, which is -3.
Using the point-slope form, we can write the equation of the line as:
y - 8 = -3(x + 1)
Simplifying:
y - 8 = -3x - 3
Adding 8 to both sides:
y = -3x + 5
Therefore, the equation of the line in slope-intercept form that is parallel to y=-3x-5 and goes through the point (-1,8) is y = -3x + 5.
X^4-3x^2+9x name the polynomial
Answer:
biquadratic polynomial
Step-by-step explanation:
it has degree 4
has 37 coins, all nickels and dimes in his piggy bank. the value of the coins is $3.10. how many dimes does carter have?
Carter has 13 dimes in his piggy bank
To solve this equation, we need to use the distributive property to simplify the equation:
(x dimes x 10 cents) + (37-x nickels x 5 cents) = $3.10
We can then solve for the number of dimes by isolating the dimes on one side of the equation:
x dimes x 10 cents = $3.10 - (37-x nickels x 5 cents),By dividing both sides of the equation by 10 cents, we can solve for the number of dimes, x:
x dimes = ($3.10 - (37-x nickels x 5 cents)) / 10 cents
Plugging in the value of 37 coins and solving the equation, we get:
x dimes = (3.10 - (37 -x nickels x 5 cents)) / 10 cents
x dimes = (3.10 - 185 + 5x) / 10 centsx dimes = (3.10 - 180) / 10 centsx dimes = 1.30 / 10 centsx dimes = 13 dimes
Therefore, Carter has 13 dimes in his piggy bank.
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Identify the asymptotes, domain, and range of each function.
The function f(x) = 5/(x+3), vertical asymptote at x = -3, domain of the function is all real numbers except x = -3, range is all real numbers except 0.
Describe Function?A function is a mathematical object that takes one or more inputs (usually represented as variables) and produces a single output. In other words, a function is a relation between sets of inputs and outputs that associates each input value with exactly one output value.
A function can be represented by an equation or a graph. The most common way to write a function is in the form f(x) = y, where x is the input variable and y is the output variable. The function f maps each value of x to a corresponding value of y.
Functions can be classified based on their properties, such as their domain (set of allowable input values), range (set of output values), and behavior (e.g., increasing, decreasing, constant, etc.). Some common types of functions include linear, quadratic, exponential, trigonometric, and logarithmic functions.
The function f(x) = 5/(x+3) has a vertical asymptote at x = -3, since the denominator becomes zero at that point.
The domain of the function is all real numbers except x = -3, since division by zero is undefined.
To find the range, we can consider what happens to the function as x approaches -3 from both sides. As x approaches -3 from the left (i.e., as x gets closer and closer to -3 from values less than -3), the function becomes increasingly negative. As x approaches -3 from the right (i.e., as x gets closer and closer to -3 from values greater than -3), the function becomes increasingly positive. This means that the range of the function is all real numbers except 0.
Therefore, the asymptote is x = -3, the domain is all real numbers except x = -3, and the range is all real numbers except 0.
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the class average on a statistics test is 62 marks with a standard deviation of 12 marks. what minimum mark must a student obtain to be in the top 9% of the class?
Answer:
Step-by-step explanation:
the minimum mark the student should obtain is 32
What is the value of k?
127.3°
A reservoir is 90% filled with liquid. The reservoir holds 1,330 gallons of liquid. How many gallons of liquid are needed to fill the reservoir to the top?
Choose the correct answer below.
A. 1,197 gallons
B. 133 gallons
C. 74 gallons
D. 1,330 gallons
Answer: B. 133 gallons
Step-by-step explanation: 90% of 1330 is 1197. you can take 10% which is 133 and multiply it by 9 to get that answer. then you have to subtract 1197 from 1330 to get you 133
exploraton in math suppose a principal amount of $15,400 is borrowed at a simple interest rate 15% for a period of 13 years. determine the amount of simple interest owed for the use of this loan. round the solution to the nearest cent, if necessary. the amount of simple interest owed is
The amount of simple interest owed for the loan is $30,010.00.
A method for determining the proportion of interest paid on a sum over a predetermined period of time at a predetermined rate is called simple interest. In simple interest, the principal amount remains unchanged. A straightforward and simple method for calculating money interest is simple interest.
To calculate the simple interest, we use the formula:
Simple Interest = P * r * t
where P is the principal amount, r is the interest rate as a decimal, and t is the time period in years.
Substituting the given values, we get:
Simple Interest = $15,400 * 0.15 * 13
= $30,010.00
Therefore, the amount of simple interest owed for the use of the loan is $30,010.00.
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PLEASE HELP THIS IS DUE TODAY
Answer:B
Step-by-step explanation:
4) Tom has ran 10 miles of a 75 mile running challenge. If he runs 4 miles each day until he finishes the challenge, write an equation that can be used to find the number of days, d, it will take Tom to finish running the challenge miles.
Step-by-step explanation:
Let's use d to represent the number of days it will take Tom to finish the challenge miles.
Since Tom is currently 10 miles into the challenge and plans to run 4 miles each day until he finishes, the total number of miles he will run is 75 - 10 = 65 miles.
If he runs 4 miles each day, we can use the equation:
total distance = distance per day * number of days
to find the number of days it will take Tom to run 65 miles. Plugging in the known values, we get:
65 = 4d
Simplifying this equation, we can solve for d:
d = 65/4
So, it will take Tom d = 16.25 days to finish the running challenge if he runs 4 miles each day. However, since he cannot run a fraction of a day, we can round up the answer to the nearest whole number of days. Therefore, it will take Tom 17 days to finish the challenge.
The equation that can be used to find the number of days, d, it will take Tom to finish running the challenge miles is:
d = ceil(65/4)
where ceil is the ceiling function, which rounds up the result to the nearest whole number.
Answer:
16 days + 1 mile
Step-by-step explanation:
Hi does anyone know how to do problem 2 and 3 on the worksheet?
2. Using percentage, we can find that Melissa needs to save $34500 in order to purchase the house.
3. The project was worth 97 points.
Define percentage?The denominator of a percentage (also known as a ratio or fraction) is always 100.
As a percentage, "%" is read as "percent" or "percentage" in this context.
You may always "divide by 100" this percent symbol to make it into a fraction or decimal equivalent.
Here we can see that Melissa has already $2500 in her savings account.
Total cost of house = $185000
Now for the loan she needs to have 20% of the mortgage as savings.
20% of $185000
20/100 × 185000
= 37000
Now she already has $2500.
So, the amount she need to save is= $37000 - $2500
= $34500
Now, total grade Brooke received = 87.
10 points have been taken off for her mistakes.
Total worth of test = 87+10 =97points.
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Debra’s rectangular vegetable garden measures 9 1/3 yards by 12 yards. A bottle of garden fertilizer costs $14.79. If Debra needs to mix 1/8 cup of fertilizer with water for each square yard of her garden, how many cups of fertilizer does she need?
She needs 14 cups of fertiliser.
What is the area?
A two-dimensional figure's area is the amount of space it takes up. In other terms, it is the amount that counts the number of unit squares that span a closed figure's surface.
Area = length * width
Find the area of the garden:
Area = 9 1/3 * 12
= 28/3 * 12
= 112 yards²
Find the amount of the fertiliser needed:
1 yards² = 1/8 cup
112 yards² = 1/8 * 112 = 14 cups
She needs 14 cups of fertiliser.
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Becky made 10 cups of chocolate mousse for dessert. If she plans to serve each person 1/3 of a cup of chocolate mousse, how many people can she serve? 1/30 people 10 people 3 1/3 people 30 people
The answer is 30 people. Becky can serve 30 people. (Option 4).
To find the number of people Becky can serve, we need to divide the total amount of chocolate mousse she has by the amount each person will be served.
Since Becky has 10 cups of chocolate mousse, we can convert that into the number of 1/3 cup servings by multiplying by 3, which gives us 30 servings.
10 cups ÷ (1/3) cup/serving = 30 servingsTherefore, Becky can serve 30 people with the 10 cups of chocolate mousse she made.
It's important to note that an answer is a whole number, so the options of 1/30 people and 3 1/3 people are not reasonable answers. The correct answer is 30 people.
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Complete Question:
Becky made 10 cups of chocolate mousse for dessert. If she plans to serve each person 1/3 of a cup of chocolate mousse, how many people can she serve?
1/30 people 10 people 3 1/3 people 30 peopleFunction "p" is in the form y = ax2 + c. If the values of "a" and "c" are both less than 0, which graph could represent "p"?
Question 6 options:
Graph D
Graph A
Graph C
Graph B
The correct option is - Graph B, represent quadratic function "p", when values of "a" and "c" are both less than 0.
Explain about the quadratic function?f(x) = ax² + bx + c, in which a, b, and c are numbers and an is not equal to zero, is a quadratic function.
A parabola is the shape of a quadratic function's graph. Although the "width" or "steepness" of a parabola can vary as well as its direction of opening, they all share the same fundamental "U" form.Regarding a line known as the axis of symmetry, all parabolas are symmetric. The vertex of a parabola is the location where the axis of symmetry of the curve crosses.You are aware that a line is defined by two points. This implies that there is only one line that incorporates both points if you are provided any two points in the plane.Standard form refers to the quadratic function f(x) = a(x - h)² + k, where an is not equal to zero. The graph opens either upward or downward depending on the value of a. The vertex is the point, while the line of symmetry is really the vertical line x = h. (h,k).The given function :
y = ax² + c.
a < 0 and c <0.
Thus, Graph B, represent function "p", when values of "a" and "c" are both less than 0, and the graph will open downward with c less than 0.
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I need some help please
Answer:
−18 x + 12
Step-by-step explanation:
multiply using the distributive property
Answer:
-2(9x-6)
-2 divided by 9x = - 18
-2 divided by - 6 = 12 (negative + negative =positive)
= - 18x +12
the total number of goals scored per soccer match in the english premier league (epl) follows a poisson distribution, with mean 2.768. what is the probability that three or more goals will be scored in a game?
The probability of three or more goals being scored in an EPL match is approximately 0.522, or 52.2%.
To find the probability that three or more goals will be scored in a game, we need to calculate the cumulative probability of the Poisson distribution for x = 3, 4, 5, and so on, up to infinity. This can be written as:
P(X ≥ 3) = 1 - P(X < 3)
where X is the random variable representing the number of goals scored in a match.
To calculate P(X < 3), we can use the Poisson distribution formula:
[tex]P(X = x) = (e^{(-\lambda)} \times \lambda^x) / x![/tex]
where e is the mathematical constant approximately equal to 2.71828, and x! represents the factorial of x.
Using this formula, we can calculate the probabilities of scoring 0, 1, and 2 goals:
[tex]P(X = 0) = (e^{(-2.768)} \times 2.768^0) / 0! = 0.063\\\\P(X = 1) = (e^{(-2.768)} \times 2.768^1) / 1! = 0.174\\\\P(X = 2) = (e^{(-2.768)} \times 2.768^2) / 2! = 0.241[/tex]
To find P(X < 3), we add these probabilities:
P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2) = 0.063 + 0.174 + 0.241 = 0.478
Finally, we can calculate the probability of scoring three or more goals using the formula we derived earlier:
P(X ≥ 3) = 1 - P(X < 3) = 1 - 0.478 = 0.522 or 52.2%
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