The shopkeeper sold an average of 40.5 eggs per day during the given interval.
How to find the avg number of eggs?To calculate the average number of eggs sold per day, add up the total number of eggs sold and divide by the number of days.
Total number of eggs sold = 42 + 49 + 61 + 35 + 27 + 36 + 50 + 34 + 31 + 40 = 405
Number of days = 10
Average number of eggs sold per day = 405 / 10 = 40.5
The shopkeeper sold an average of 40.5 eggs per day during the given interval.
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The shopkeeper sold every day the number of eggs is recorded. At equal intervals group 42, 49, 61, 35, 27, 36, 50, 34, 31, 40
What is the average number of eggs sold per day by the shopkeeper over the given interval?
PLS HLEP AND SHOW WORK I WILL MATK BRAINLYEST
Based on the information, statement (A) False is correct.
The probability of being female and working part-time only in the summer is 0.336, which is not equal to 0.42.
How to calculate the probabilityIt should be noted that since the proportion of females who work part-time only in the summer (84%) is greater than the overall proportion of students who work part-time only in the summer (80%), we can conclude that gender and working part-time only in the summer are dependent. This means that knowing someone's gender gives us information about the likelihood that they work part-time only in the summer.
Therefore, statement (A) False is correct.
The probability will be:
0.80 x 0.50 x 0.84 = 0.336
The probability of being female and working part-time only in the summer is 0.336, which is not equal to 0.42.
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What is the length of the line?
A. 9
B. 8
C. squared 45
D. squared 27
Answer:
C) [tex]\sf \sqrt{45}[/tex]
Step-by-step explanation:
Pythagorean theorem:
AB = 6 units
BC = 3 units
AC is hypotenuse and AB is the base and BC is the altitude.
Hypotenuse² = base² + altitude²
AC² = AB² + BC²
[tex]\sf = 6^2 + 3^2\\\\ = 36 + 9\\\\ = 45[/tex]
[tex]\sf AC= \sqrt{45}[/tex]
a researcher is interested in the disappearance of spotted owls from northwestern forests. she studies 10 breeding pairs of spotted owls in cascade national park for one year. the 10 breeding pairs are the: group of answer choices selected sample snowball sample stratified sample target population
The 10 breeding pairs of spotted owls in Cascade National Park studied by the researcher represent a selected sample. So, the correct answer is A)
The 10 breeding pairs of spotted owls represent a selected sample.
A sample is a subset of a larger population that is chosen for research or study purposes. In this case, the researcher is interested in studying the disappearance of spotted owls from northwestern forests, but it would be impractical to study the entire population of spotted owls in the region.
Therefore, the researcher selected a smaller group of 10 breeding pairs in Cascade National Park as a representative sample to study over the course of one year. The selected sample may help the researcher to draw conclusions about the population of spotted owls in the region. So, the correct option is A).
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--The given question is incomplete, the complete question is given
" a researcher is interested in the disappearance of spotted owls from northwestern forests. she studies 10 breeding pairs of spotted owls in cascade national park for one year. the 10 breeding pairs are the: group of answer choices
selected sample
snowball sample
stratified sample
target population"--
Solve for x.
Round to the nearest tenth.
Answer:
x = 65°
Step-by-step explanation:
The upper angle of the triangle is inscribed, so it is equal to half the size of the arc
Let's call this angle α:
[tex] \alpha = \frac{100°}{2} = 50°[/tex]
Since the given triangle is isosceles, the remaining angles are equal (don't forget, that a triangle's sum of all its angles is equal to 180°):
[tex]2x + 50° = 180°[/tex]
[tex]2x = 180° - 50°[/tex]
[tex]2x = 130°[/tex]
Divide both sides of the equation by 2 to make x the subject:
[tex]x = 65°[/tex]
Randy is planning to drive from New Jersey to Florida. Every time Randy stops
for gas, he records the distance he traveled in miles and the total number of gallons
Lised. Assume that the number of miles driven is proportional to the number of
Dallons consumed in order to complete the table.
The missing values of the table representing the number of miles driven is proportional to the number of gallons consumed are,
Gallons consumed : 2 4 7 8 10 12
Miles driven : 54 108 189 216 270 324
Let us consider 'x' represents the number of miles driven .
And 'y' represents the number of gallons consumed .
Number of miles driven is proportional to the number of gallons consumed.
⇒ ( x₁ / x₂ ) = ( y₁ / y₂ )
⇒ ( 2/ 4) = ( 54 / y₂ )
⇒y₂ = ( 54 × 4 ) / 2
⇒y₂ = 108.
⇒ ( x₁ / x₃ ) = ( y₁ / y₃ )
⇒ ( 2/ x₃) = ( 54 / 189)
⇒x₃ = ( 189 × 2 ) / 54
⇒x₃= 7
⇒ ( x₁ / x₅ ) = ( y₁ / y₅ )
⇒ ( 2/ 10) = ( 54 / y₅ )
⇒y₅ = ( 54 × 10 ) / 2
⇒y₅ = 270.
⇒ ( x₁ / x₆ ) = ( y₁ / y₆ )
⇒ ( 2/ 12) = ( 54 / y₆ )
⇒y₆ = ( 54 × 12 ) / 2
⇒y₆ = 324
Therefore, using the proportional relation between miles driven and gallons consumed the value of the table are,
Gallons consumed : 2 4 7 8 10 12
Miles driven : 54 108 189 216 270 324
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The above question is incomplete, the complete question is:
Randy is planning to drive from New Jersey to Florida. Every time Randy stops for gas, he records the distance he traveled in miles and the total number of gallons used. Assume that the number of miles driven is proportional to the number of gallons consumed in order to complete the table.
Gallons consumed : 2 4 8 10 12
Miles driven : 54 189 216
f(x)=1/2x^4+2x^3 is concave up when f”(x) is
The function f(x) = (¹/₂)x⁴ +2x³ is concave up when f''(x) > 0, which is true when x > 0 or x < -2.
What is the concavity of the function?The concavity of a function is determined by taking the second derivative.
f'(x) = 2x³ + 6x²
f''(x) = 6x² + 12x
To find out when f(x) is concave up, we need to determine when f''(x) is positive;
f''(x) > 0
6x² + 12x > 0
6x(x + 2) > 0
When x > 0, both factors are positive, and the inequality is true.
When x < -2, both factors are negative, and the inequality is true.
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Determine whether the geometric series is convergent or divergent. If it is convergent, find the sum. (If the quantity diverges, enter DIVERGES.) 00 7 80 3| n n = 1
|r| = 7/80 < 1, the series is convergent. The sum = 0/(1-7/80) = 0. the sum of the geometric series is 0.
The geometric series with first term 0 and common ratio 7/80 is given by 0, 7/80, (7/80)², (7/80)³, ... In general, the nth term is (7/80)ⁿ⁻¹.
To determine whether this series is convergent or divergent, we can use the formula for the sum of an infinite geometric series:
sum = a/(1-r)
where a is the first term and r is the common ratio. In this case, a = 0 and r = 7/80.
If |r| < 1, then the series converges to the sum given by the above formula. If |r| ≥ 1, then the series diverges.
In this case, |r| = 7/80 < 1, so the series is convergent. The sum is given by:
sum = 0/(1-7/80) = 0
Therefore, the sum of the geometric series is 0.
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A line has a slope of – 7 and passes through the point (2,7). Write its equation in slope-intercept form.
[tex](\stackrel{x_1}{2}~,~\stackrel{y_1}{7})\hspace{10em} \stackrel{slope}{m} ~=~ - 7 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{7}=\stackrel{m}{- 7}(x-\stackrel{x_1}{2}) \\\\\\ y-7=-7x+14\implies {\Large \begin{array}{llll} y=-7x+21 \end{array}}[/tex]
Which are equal to the following? Check all that
apply.
Rewrite the following with lower index 0
To rewrite a given expression with lower index 0, which involves changing the subscript of any variable or quantity to 0.
How to rewrite with lower index 0?To rewrite a given expression with lower index 0. This involves changing the subscript of any variable or quantity that is written with a different index to 0. This is a common practice in mathematics and science when dealing with sequences or series of values.
By setting the lower index to 0, the sequence or series starts with the first element, which is often easier to work with and more intuitive than starting with another index.
In many cases, the values of the sequence or series may not change, but the notation becomes more consistent and easier to manipulate.
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Answer:
here sorry I'm late
Step-by-step explanation:
Consider the following cash flows: year cash flow 0 −$28,500 1 15,200 2 13,700 3 10,100 a. what is the profitability index for the cash flows if the relevant discount rate is 10 percent?
The profitability index is 0.1237.
To find the profitability index (PI), we need to divide the present value of the cash flows by the initial investment.
To calculate the present value of the cash flows, we need to discount each cash flow to its present value and then add them up. Using a discount rate of 10%, we get:
Year 0: -$28,500 / [tex](1 + 0.10)^0[/tex]= -$28,500
Year 1: $15,200 /[tex](1 + 0.10)^1[/tex]= $13,818.18
Year 2: $13,700 / [tex](1 + 0.10)^2[/tex] = $10,881.68
Year 3: $10,100 /[tex](1 + 0.10)^3[/tex] = $7,322.51
The sum of the present values is:
PV = -$28,500 + $13,818.18 + $10,881.68 + $7,322.51 =
PV = $3,521.37
The profitability index is therefore:
PI = PV / Initial Investment = $3,521.37 / $28,500 = 0.1237
So the profitability index is 0.1237.
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A worker in a computer factory compared these measurements. 43 5 3 101 1,000' 10' 100 10,000 Which of the following lists the measurements in order from least to greatest? 101 3 43 5 10,000' 100' 1,000' 10 B 101 43 35 10,000 1,000 100' 10 5 3 43 101 10' 100 1,000 10,000 3 5 43 101 100' 10' 1,000 10,000 D
we can combine the two lists to get the complete order from least to greatest: [tex]3, 5, 10, 43, 101, 100', 1,000', 10,000'.[/tex]Thus, option B is correct.
What is the order from least to greatest?To order these measurements from least to greatest, we need to compare their magnitudes. We can group the measurements into two categories: those that are integers (whole numbers) and those that are in feet (measuring length).
Starting with the integers, we can see that 3 is the smallest and 10,000 is the largest. So, the integers can be ordered as follows: [tex]3, 5, 10, 43, 101, 10,000.[/tex]
Next, we can order the measurements in feet. 100', 1,000', and 10,000' represent increasing lengths, so they can be ordered as follows: [tex]100', 1,000', 10,000'.[/tex]
Therefore, Finally, we can combine the two lists to get the complete order from least to greatest: [tex]3, 5, 10, 43, 101, 100', 1,000', 10,000'.[/tex]
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16 workers will build a house; they can do so in 144 days. if all workers work a the same rate, how many more workers would be needed to build the same house in 96 days
To build a house in 96 days, more workers are required such that the total number of workers becomes 24.
Let W be the number of workers required to build the house in 96 days. Using the work formula, we can write:
(16 workers) x (144 days) = (W workers) x (96 days)
Simplifying the equation, we get:
W = (16 workers x 144 days) / 96 days = 24 workers
Therefore, to build the house in 96 days, 24 workers are required, which is 8 more workers than the original 16. This is because, to complete the work in a shorter time, more workers are needed to contribute their efforts to the work.
The total work done by all the workers remains constant, so if we decrease the time taken to complete the work, we need to increase the number of workers to maintain the same work rate.
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The force on a particle is described by 8x^3-5 at a point s along the z-axis. Find the work done in moving the particle from the origin to x = 4.
The work done in moving the particle from the origin to x = 4 under the influence of the force F (x) = 8[tex]x^3[/tex]-5 is 492 units of work.
The work done in moving a particle along a path under the influence of a force, we use the work-energy principle.
This principle states that the work done on a particle by a force is equal to the change in the particle's kinetic energy.
Mathematically this can be expressed as:
W = ΔK
Where
W is the work done,
ΔK is the change in kinetic energy and
Both are scalar quantities.
The work done by a force on a particle along a path is given by the line integral:
W = ∫ C F · ds
Where,
C is the path,
F is the force,
ds is the differential displacement along the path and denotes the dot product.
In the case where the force is a function of position only (i.e., F = F(x,y,z)), we can evaluate the line integral using the parametric equations for the path.
If the path is given by the parameterization r(t) = <x(t), y(t), z(t)>, then we have:
W = ∫ [tex]a^b[/tex] F(r(t)) · r'(t) dt
The work done in moving the particle from the origin to a final position at x = 4. We can evaluate the work done using the definite integral of the force from x = 0 to x = 4, as shown in the solution.
The initial kinetic energy is zero.
The work done by the force in moving the particle from x = 0 to x = 4 is given by the definite integral:
W = ∫ F(x) dx
Substituting the given expression for the force, we have:
W = ∫0 (8x - 5) dx
Integrating with respect to x, we have:
W = [(2x - 5x)]_0
W = (2(4) - 5(4)) - (2(0) - 5(0))
W = 512 - 20
W = 492
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In your pocket you have 4 ones, 2 fives, and a twenty dollar bill. What is the probability of picking out the twenty?
The probability of picking a 20 dollar bill is 1/7 or 14.3%
How do we calculate for the probability of picking up a 20 dollar bill?The probability of a thing is the likelihood or number of chances that such a thing will occur. For the scenario given,
There are a total of 7 bills in your pocket
1, 1, 1, 1,
5, 5,
20.
To find the probability of picking out the twenty dollar bill, divide the number of twenty dollar bills by the the total of the number of bills you are with.
Probability = 1/ 7 which can be converted to % = 14.3%.
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100 POINTS!!!! PLEASE HELP!! ITS DUE IN 1 HOUR!!!!!!!!!!!!!!
Edna gasta la mitad de su salario en el pago de renta, utilidades y
comida. Si į de esos gastos se va en renta, ¿qué fracción de su salario
se va en renta? Halla su salario mensual considerando que su renta
mensual es de $150. 0.
Entonces, 1/8 de su salario se va en renta, y su salario mensual es de $1200.
Entiendo que deseas saber qué fracción del salario de Edna se va en renta y cuál es su salario mensual si su renta mensual es de $150. Para resolver esto, seguiré estos pasos:
1. Sabemos que Edna gasta la mitad de su salario en renta, utilidades y comida. Esto se puede expresar como 1/2 de su salario.
2. Se nos dice que 1/4 de esos gastos se va en renta. Entonces, para encontrar la fracción de su salario que se va en renta, multiplicamos 1/2 (gastos totales) por 1/4 (fracción de gastos en renta): (1/2) * (1/4) = 1/8.
3. Ahora sabemos que 1/8 de su salario se va en renta. Para hallar su salario mensual, utilizaremos la renta mensual de $150.
4. Si 1/8 de su salario equivale a $150, podemos resolver su salario (S) utilizando la siguiente ecuación: (1/8)S = 150.
5. Para encontrar S, multiplicamos ambos lados de la ecuación por 8: S = 150 * 8.
6. Finalmente, calculamos el valor: S = 1200.
Entonces, 1/8 de su salario se va en renta, y su salario mensual es de $1200.
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A pack of 24 crayons costs the manufacturer $0.05 to make and is sold to the stores for $0.25. the stores sell the crayons for $0.50 during back to school week.
1.an equation that represents the mark up cost by the manufacturer is
a.p(c)=2c
b.p(c)=5c
c.p(c)=10c
2.an equation that represents the store mark up cost is
a.s(p)=2p
b.s(p)=5p
c.s(p)=10p
3.a composition of these two functions is
a.s(p(c))=2c
b.s(p(c))=10c
c.s(p(c))=5c
4.it represents
a.the total markup from cost to sales price
b.how much the store profits from the sale
c.how much money the manufacturer makes
a. s(p)=2p b. p(c)=5c c. s(p(c))=5c a. The total markup from cost to sales price.
How are the mark-up costs and profits determined in the pricing of the crayons?The equation that represents the mark-up cost by the manufacturer is c. p(c) = 10c. This equation implies that the manufacturer adds a mark-up of 10 times the cost to determine the selling price of the crayons.The equation that represents the store mark-up cost is b. s(p) = 5p. This equation implies that the store adds a mark-up of 5 times the cost price (or the price they purchase from the manufacturer) to determine the selling price during back-to-school week.The composition of these two functions is c. s(p(c)) = 5c. This equation represents that the store applies their mark-up (5 times the cost) to the manufacturer's selling price (10 times the cost) to determine the final selling price of the crayons.It represents a. the total mark-up from cost to sales price. This composition equation shows how both the manufacturer and the store contribute to the mark-up, resulting in the final selling price of the crayons. It accounts for the mark-up at each stage of the distribution process, from the manufacturer to the store.Learn more about manufacturer
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Is Y= 4x^3+6....
A. Linear
B. Nonlinear
C. Both
D. Neither
Answer:
The given equation Y=4x^3+6 is a nonlinear equation because it contains a term with a power of 3, which means that the relationship between Y and x is not linear. In a linear equation, the power of the variable is always 1. Therefore, the answer is B. Nonlinear.
Step-by-step explanation:
2. Quadrilateral ABCD is inscribed in a circle. Find the measure of each of the angles of the quadrilateral. Show
your work.
Answer:
(x-4)
(2x-78)
(x+8)
The measure of the quadrilateral are
88 - 4 = 84
2 * 88 - 78 = 98
88 + 8 = 96
How to solve the quadrilateralA quadrilateral is a polygon with four sides and four vertices (corners). There are many different types of quadrilaterals, including squares, rectangles, parallelograms, trapezoids, and kites. The angles and sides of a quadrilateral can vary depending on its specific type, but the sum of the internal angles of any quadrilateral is always 360 degrees.
x - 4 + x + 8 = 180
we have to find the value of x
x = 88
The angles would be
88 - 4 = 84
2 * 88 - 78 =
88 + 8 = 98
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Marci described the light from the sun as a line that starts at the sun and continues on forever.wich geometric term best describes marcis description of the sun's light
The geometric term best describes Marci's description of the sun's light is ray
What is a ray?A ray is a line that extends eternally in one direction from a point in geometry, in this case the sun.
It symbolizes a straight journey without any turning points.
As the sun's light propagates in a straight line throughout space without end, Marci's description fits the definition of a ray.
To explain Marci's depiction of the sun's light as a line that originates at the sun and never ends is to use the geometric term "ray."
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Answer: Ray
Step-by-step explanation:
A ray continues but may have a segment near the stopping point
The spokes on a bicycle wheel divide the wheel into congruent sections. What is the measure of each arc in this circle?
The measure of each arc in the circle is given by: 360 degrees / n
where n= number of spokes
If the spokes on a bicycle wheel divide the wheel into congruent sections, then each section is an equal angle at the center of the circle. Since there are "n" spokes on the wheel, the circle will be divided into "n" congruent sections.
Therefore, the measure of each arc in the circle is given by:
= 360 degrees / n
For example, if there are 18 spokes on the wheel, then each arc will have a measure of:
360 degrees / 18 = 20 degrees
So each arc would measure 20 degrees.
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If the circumference of a circle is 50. 4 ft, what is its area? (Use π = 3. 14) *
2 points
50. 24 sq ft
113. 04 sq ft
202. 24 sq ft
314 sq ft
If the circumference of a circle is 50. 4 ft, its area is 202.24 sq ft. Correct option is C: 202.24 sq ft.
The formula for the circumference of a circle is C = 2πr, where r is the radius of the circle. We are given that the circumference is 50.4 ft, so we can solve for the radius:
50.4 = 2πr
r = 50.4 / (2π)
r ≈ 8.02 ft
Now we can use the formula for the area of a circle: A = πr²
A = 3.14 * (8.02)²
A ≈ 202.24 sq ft
Therefore, the answer is option C: 202.24 sq ft.
Alternatively, to find the area of a circle with a circumference of 50.4 ft, we will first find the radius using the formula for circumference (C = 2πr) and then use the formula for the area of a circle (A = πr²). Using π = 3.14:
Solve for the radius (r):
C = 2πr
50.4 = 2(3.14)r
r = 50.4 / (2 * 3.14)
r ≈ 8 ft
Calculate the area (A):
A = πr²
A = 3.14 * (8²)
A = 3.14 * 64
A ≈ 201.06 sq ft
The closest answer among the options provided is 202.24 sq ft. Correct option is C: 202.24 sq ft.
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The table shows the number of different categories of books that Mrs. Hoover, the librarian, sold at the book fair on Thursday.
If Mrs. Hoover sells 50 books at the book fair on Friday, which prediction for Friday is NOT supported by the data in the table?
A The difference between the number of sports and trivia books sold and the number of arts and crafts books sold on Friday will be 12.
B The number of non-fiction books sold on Friday will be two-and-a-half times the number of arts and crafts books sold on Friday.
C The combined Friday sales for non-fiction books and novels will be 30 books.
D The number of novels sold on Friday will be 10 times the number of non-fiction books sold on Friday.
The prediction that is not supported by the data is option B: "The number of non-fiction books sold on Friday will be two-and-a-half times the number of arts and crafts books sold on Friday."
How to explain the dataWe can see from the table that on Thursday, 7 sports and trivia books and 19 arts and crafts books were sold, for a difference of 12.
On Thursday, 13 non-fiction books and 19 arts and crafts books were sold. If we assume that the same ratio will hold on Friday, then we can predict that the number of non-fiction books sold will be (19/2)*2.5 = 23.75, which is not a whole number. Therefore, this prediction is not supported by the data.
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Afia visits the shopping mall on tuesday to purchase some groceries. if she goes back after 295 days, what day did she visit the shopping mall again
Afia visits the shopping mall on Tuesday to purchase some groceries. if she goes back after 295 days, she visits the shopping mall again on a Wednesday.
To find out what day Afia visited the shopping mall again, we can divide 295 by 7 because there are 7 days in a week. we need to find out how many full weeks have passed and how many days.
= 295/ 7 = 42.1
The 295 divided by 7 is 42 with a remainder of 1 or we can write as that 42 full weeks and 1 day have passed.
When 42 weeks have passed that day will be Tuesday and the 1 day after Tuesday is Wednesday.
Therefore, Afia visited the shopping mall again on a Wednesday.
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Determine where the absolute extrema of f(x)= 4x/ x²+1 on the interval [-4,0] occur. 1. The absolute maximum occurs at x= 2. The absolute minimum occurs at x =
The absolute maximum of f(x) = 4x / (x² + 1) on the interval [-4,0] occurs at x = 2 and the absolute minimum occurs at x = -4.
To find the absolute extrema, we first find the critical points by setting the derivative of f(x) equal to zero:
f'(x) = (4(x² + 1) - 8x²) / (x² + 1)² = 0
Simplifying, we get:
4 - 4x² = 0
x² = 1
x = ±1
Since x = -4 and x = 0 are also endpoints of the interval, we evaluate f(x) at these five points:
f(-4) = -8/17
f(-1) = -4/5
f(0) = 0
f(1) = 4/5
f(2) = 8/5
Thus, the absolute maximum occurs at x = 2, where f(x) = 8/5, and the absolute minimum occurs at x = -4, where f(x) = -8/17.
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The temperature at any point (x, y) in a steel plate is T = 900 − 0.7x2 − 1.3y2, where x and y are measured in meters. At the point (3, 9), find the rates of change of the temperature with respect to the distances moved along the plate in the directions of the x- and y-axes.
At point (3, 9), the rate of change of temperature with respect to the x-axis is -4.2 °C/m, and with respect to the y-axis, it is -23.4 °C/m.
To find the rates of change of the temperature with respect to the distances moved along the x- and y-axes at point (3, 9), you need to compute the partial derivatives of the temperature function T(x, y) = 900 - 0.7x^2 - 1.3y^2 with respect to x and y.
For the x-axis:
∂T/∂x = -1.4x
At point (3, 9), ∂T/∂x = -1.4(3) = -4.2 °C/m
For the y-axis:
∂T/∂y = -2.6y
At point (3, 9), ∂T/∂y = -2.6(9) = -23.4 °C/m
So, at point (3, 9), the rate of change of temperature with respect to the x-axis is -4.2 °C/m, and with respect to the y-axis, it is -23.4 °C/m.
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Create a number pattern that follows the rule x + 7. Include 3 terms using the pattern
The number pattern that follows the rule x + 7, including 3 terms using the pattern, is: 8, 15, 22.
To do this, let's start with an initial value for x, and then generate the next two terms using the given pattern.
Step 1: Choose an initial value for x. Let's say x = 1.
Step 2: Apply the rule x + 7 to find the first term: 1 + 7 = 8.
Step 3: For the second term, use the first term as the new x: 8 + 7 = 15.
Step 4: For the third term, use the second term as the new x: 15 + 7 = 22.
So, the number pattern that follows the rule x + 7, including 3 terms using the pattern, is: 8, 15, 22.
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The arable land area of a commune is about 81. 5 ha. This year's summer-autumn crop, this commune intends to use 57 of these areas to grow rice. Calculate the area of the commune's summer-autumn rice crop (use a handheld calculator and then round the result to the third decimal place)
The area of the commune's summer-autumn rice crop is approximately 570,041.902 square meters. ( rounded to the third decimal place)
To calculate the area of the commune's summer-autumn rice crop, we need to multiply the total area of the commune by the percentage of the area used to grow rice.
First, we need to convert the area from hectares to square meters since the percentage is based on the total land area in square meters.
1 hectare = 10,000 square meters
So, 81.5 hectares = 81.5 x 10,000 = 815,000 square meters
Next, we can calculate the area of the rice crop:
57/81.5 = 0.699386503
0.699386503 x 815,000 = 570,041.902 square meters
Rounding to the third decimal place, the area of the commune's summer-autumn rice crop is approximately 570,041.902 square meters.
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A basket contains 8 green apples, 11 red apples, 5 nectarines, and 12 oranges. Akhil takes a piece of fruit, eats it,
then grabs another. What is the P(two oranges)?
The probability of Akhil picking two oranges is 11/105 OR 10.476%.
To find the probability of Akhil picking two oranges, we need to consider the total number of fruits and the number of oranges in the basket.
The total number of fruits is 8 green apples + 11 red apples + 5 nectarines + 12 oranges = 36 fruits.
The probability of picking the first orange is 12 oranges / 36 fruits = 1/3.
After eating the first orange, there are now 35 fruits left and 11 oranges.
The probability of picking the second orange is 11 oranges / 35 fruits.
So, the probability of Akhil picking two oranges (P(two oranges)) is the product of the individual probabilities: (1/3) * (11/35) = 11/105.
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ANEXO 2
Identifica los objetos con los que se mide la masa y el volumen, y escribe en donde corresponda.
Manómetro
VOLUMEN
MASA
Pipetas
Fórmula de densidad,
Probetas
Báscula.
Matraz
Balanzas
Fórmula volumen
Vaso de precipitación
The objects used to measure mass are Balances and Scales. The objects used to measure Volume are Manometer, Pipettes, Graduated cylinders, Flasks, Volumetric flasks and Beakers. Here Density formula can be used to measure both mass and volume.
The problem is asking to match different measuring tools with the measurements they are used for, i.e., mass or volume.
The first tool is a manometer. A manometer is used to measure pressure and not mass or volume, so it does not belong in either category.
The next set of tools are pipettes, graduated cylinders, and volumetric flasks. These tools are all used to measure volume, so they belong in the volume category.
The next set of tools are scales and balances. These tools are used to measure mass, so they belong in the mass category.
The formula for density can be used to calculate the mass of an object given its volume and density, or the volume of an object given its mass and density, so it belongs in both categories.
Finally, a beaker or a graduated cylinder can be used to measure volume, so it belongs in the volume category.
Therefore, the correct categorization of the measuring tools are as follows
Volume
Pipettes
Graduated cylinders
Volumetric flasks
Beaker or graduated cylinder
Mass
Scales
balances
Both
Formula for density
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