ellen's greenhouse is in the shape of a hemisphere. the diameter of the floor is 18 feet. what is the approximate volume of the greenhouse? ellen's greenhouse is in the shape of a hemisphere. the diameter of the floor is 18 feet. what is the approximate volume of the greenhouse? 1,527 ft3 3,054 ft3 12,215 ft3 24,429 ft3
Answers
The approximate volume of the greenhouse will be 1,527 ft³.
What is Multiplication?To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.
Given that;
Ellen's greenhouse is in the shape of a hemisphere.
And, The diameter of the floor is 18 feet.
Now,
Since, Ellen's greenhouse is in the shape of a hemisphere.
We know that;
⇒ The volume of Hemisphere = (2/3) πr³
Here, The diameter of the floor is 18 feet.
Hence, The radius of the floor = 18/2
= 9 feet
So, We get;
⇒ The volume of Hemisphere = (2/3) πr³
⇒ The volume of Hemisphere = (2/3) × 3.14 × 9³
= 1,527 ft³
Thus, The approximate volume of the greenhouse = 1,527 ft³
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Related Questions
The height of a hill, h(x), in a painting can be written as a function of x, the distance from the left side of the painting. Both h(x) and x are measured in inches.
What is the height of the hill in the painting 3 inches from the left side of the picture?
6 inches
13 inches
30 inches
150 inches
Answers
Answer:
The height of the hill in the painting 3 inches from the left side of the picture?
6 inches <<<CORRECT 13 inches 30 inches 150 inches
Step-by-step explanation:
Edge 2021
Answer:
6 inches
Step-by-step explanation:
got it right on edge 2022
What is 4(2x - 9) equivalent to?
Answers
Answer:
\(8x-36\)
Step-by-step explanation:
\(4(2x-9)\)
Through distributing the \(4\) into \(2x\) and \(-9\) (multiply), \(4(2x-9)\) is equivalent to:
\(8x-36\)
There are other solutions for this problem, but this is the most easily reachable solution.
-
You can check if the solution is equivalent & correct by first dividing it by 2:
\(\frac{8x-36}{2} =\)
\(4x-18\)
With that, you can factor out a 2 from both \(4x\) and \(-18\) to get:
\(4(2x-9)\)
Therefore, this solution is correct!
The rate of consumption of oil in the United States during the 1980s (in billions of barrels per year) is modeled by the function C(t) = 27.08e', where t is the number of years after January 1, 1980. Find the total consumption of oil in the United States from January 1, 1980 to January 1, 1990.
Answers
the total consumption of oil in the United States from January 1, 1980, to January 1, 1990 is approximately 596,533.7 billion barrels.
To find the total consumption of oil in the United States from January 1, 1980 to January 1, 1990, we need to integrate the given function\(C(t) = 27.08e^t\)with respect to time t, over the interval [0, 10], where t is measured in years.
The integral of the function is:
∫\((27.08e^t) dt\)
To solve this integral, we use the fact that the integral of\(e^t\) is \(e^t\)itself. Thus, we get:
27.08∫\(e^t dt = 27.08e^t\)
Now, we need to evaluate the definite integral over the interval [0, 10]:
\(27.08e^t\)| from 0 to 10 =\(27.08(e^{10} - e^0)\)
As e^0 = 1, the expression simplifies to:
\(27.08(e^{10} - 1)\)
Now, we can calculate the value of the expression:
\(27.08(e^{10} - 1) =27.08(22026.47 - 1) = 27.08 * 22025.47 =596533.7\)
Thus, the total consumption of oil in the United States from January 1, 1980, to January 1, 1990 is approximately 596,533.7 billion barrels.
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Show that all the critical points of the function G(x,y)=ry!- 6ry? +Bry-& are degenerate, meaning the determinant of the Hessian matrix is zero for all critical points. In other words, the second derivative text is not applicable, despite the fact that G has continuat second parties in all of R? 2. (The First Derivative Test) Recall that in single variable calcules, if a function f(x) has a critical point in its domain where it is contine but not differentiable, we can analyze the sign of "(x) to the left and to the right of to to determine if To is a local maximum, minimum or weither. You might refresh you memory with this Khan Audy Video You will now develop an analog of this test for a function of 2 variables. Set y) = -V?+y. the graph of which is the negative half of the double cone (a) Explain why / is contimones but not differentiable at the point(0,0), and there fore the second derivative test docs not apply (b) For any point (ry) (0.0), consider the unit vector (0,0) - (xv) 1(0,0) - (*.») Show that the directional derivative of at (r.v) in the direction it is always strictly positive Dalx») > 0 (e) (Bonus) Explain from a geometric viewpoint that (0,0) must be a maximum value of fry Hint: Remember, where y exists, it is normal to the graph of f(,y), and that the directional derivative tells you the slope of a particular tangtat line. 3. (a) Let H2) = my? - Or and R the ellipse shaped region of the plane given by + s. Find the critical points the function on the interior of R. () Find the critical points of II on the boundary of Rin three different ways. tsing Lagrange multipliers by parameterizing the boundary of Ras (218), 7()) = (cos(4), 3sin(t)) fort in the interval 0,2): .bw solving the constraint equation for plugging in to H(x,y) and then doing a single variable optimization problem. 4. Assume y so Find the maximum and minimum values of the function F(x,y) = y subject to the constraint ?? - y = 12. Why is the assumption y s necessary?
Answers
Part A. why ƒ is continuous but not differentiable at the point (0, 0), and therefore the second derivative test does not apply;As ƒ(x, y) = -V(x² + y²) + y is a sum of two functions, and it is continuous since it is a sum of two continuous functions.ƒ(x, y) is not differentiable at the point (0, 0).
ƒ (x, y) = -V(x² + y²) + yLet x = t and y = t, Then ƒ(t, t) = -V(2t²) + tƒ(t, t) = t - tV(2)It follows that as t approaches zero from the right-hand side, ƒ(t, t) approaches 0 from the right-hand side, and as t approaches zero from the left-hand side,ƒ(t, t) approaches 0 from the left-hand side.The directional derivative is calculated as follows:∇ƒ(x, y) = (-x/√(x²+y²), 1/√(x²+y²))ƒ((0, 0) + h(x, y)) - ƒ((0, 0))/hƒ(h, k) = -V(h² + k²) + kƒ(0, 0) = 0lim(ƒ(h, k)/√(h² + k²)) = lim(-V(h² + k²)/√(h² + k²) + k/√(h² + k²))h, k → 0The term (-V(h² + k²)/√(h² + k²)) approaches zero, while the term (k/√(h² + k²)) approaches 1, so the limit is equal to 1.Thus, the directional derivative is strictly positive in all directions, and the point (0, 0) must be a relative maximum value of ƒ.
Part B. Show that all critical points of the function G(x, y) = ry!- 6ry? +Bry-& are degenerate, meaning the determinant of the Hessian matrix is zero for all critical points. In other words, the second derivative test is not applicable, despite the fact that G has continuous second partials in all of R².Let's start by calculating the partial derivatives of G with respect to x and y:r = (x, y)The Hessian matrix is given by the following equation:H = det[Hij]For the function G(x, y), the Hessian matrix is:Therefore, the determinant of the Hessian matrix is:det(H) = 36r² - 2BThis equation shows that the determinant of the Hessian matrix is zero when r = ±sqrt(B/18). Thus, for all critical points of G, the determinant of the Hessian matrix is zero. This implies that the second derivative test is not applicable, even though G has continuous second partials in all of R².
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When a range of values is used to estimate a population parameter, it is calledA. a point estimateB. a statistical parameterC. a range estimateD. an interval estimate
Answers
When a range of values is used to estimate a population parameter, it is called an interval estimate. The correct answer is option D.
What is interval estimate?An interval estimation is the evaluation of a parameter of a population by computing an interval, or range of values, within which the parameter is most likely to be located. An interval estimate gives you a range of values where the parameter is expected to lie. In other words, an interval estimate is a range in which the population parameter probably falls for a given level of confidence. We have to establish a level of confidence because we can never be 100 percent sure that the population mean falls within our confidence interval. A confidence interval is the most common type of interval estimate.
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As the department manager, you've just been informed the organization is having to cut back on expenses This means some departments likely will incur employee losses. You are to attend a managers meeting to justify your department's current budget. The best chart to show how your department's expenses compare to the total company's expenses, and hopefully save employee jobs, would be: column chart line chart bar chart pie chart
Answers
Answer:
The best chart to show how your department's expenses compare to the total company's expenses, and hopefully save employee jobs, would be:
Pie Chart
Step-by-step explanation:
what is a type ii error? rejecting a false null hypothesis accepting a false alternate hypothesis rejecting a false alternate hypothesis failing to reject a false null hypothesis
Answers
A type II error is a statistical term used to describe the failure to reject a false null hypothesis. It occurs when the null hypothesis is actually false but is not rejected because the statistical test failed to find significant evidence against it.
In other words, it happens when an alternative hypothesis is true, but we fail to reject the null hypothesis.
Types of errors in hypothesis testing
There are two types of errors in hypothesis testing:
Type I error: Rejecting a true null hypothesis
Type II error: Failing to reject a false null hypothesis.Type I error occurs when a true null hypothesis is rejected while Type II error occurs when a false null hypothesis is not rejected. These types of errors are inversely related, meaning that a decrease in one type of error causes an increase in the other.
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You have eight marbles. all the marbles weigh the same, except for one, which is heavier than all the others. the marbles are otherwise indistinguishable. you may make no assumptions about how much heavier the heavy marble is. the task is to find the heavy marble by using a two-pan balance what is the minimum number of weighings required to identify the heavy marble?
Answers
A minimum of 3 weighings are required to identify the heavy marble out of 8 marbles.
As all the marbles weigh the same except one which is heavier, therefore firstly 8 marbles are divided into half. 4 marbles are placed in one pan while the other 4 are placed in another pan. In this two-pan balance, the pan which is lower than the other contains a heavier marble.
Now, the pan with heavier marble has 4 marbles which are again divided into half. 2 marbles are placed in each pan. Similarly, the pan with heavier marble goes down as compared to another pan with 2 marbles of the same weight. Now the final weighing is done by placing 1 marble in each pan out of 2 marbles taken from the pan which went down before as compared to another pan.
The pan with heavier marble will move down and thus with 3 weighings, a heavier marble is identified.
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an altitude is draw from the vertex of an isosceles triangle, forming a right angle and two congruent triangles. as a result, the altitude cuts the base into two equal segments.
Answers
By the triangle congruence theorem, the two resulting triangles have corresponding angles and sides that are congruent. The base segments are also congruent. This property holds true for any isosceles triangle, regardless of the length of the congruent sides.
1. Start with an isosceles triangle, where two sides are congruent.
2. Draw an altitude from the vertex, creating a right angle.
3. This altitude divides the isosceles triangle into two congruent triangles.
4. By the triangle congruence theorem, the two resulting triangles have corresponding angles and sides that are congruent.
5. Since the base of the isosceles triangle is divided into two equal segments by the altitude, it follows that the segments are congruent.
When an altitude is drawn from the vertex of an isosceles triangle, it forms two congruent triangles. This is because the altitude creates a right angle, which results in the base being cut into two equal segments. By the triangle congruence theorem, the two resulting triangles have corresponding angles and sides that are congruent.
Therefore, the base segments are also congruent. This property holds true for any isosceles triangle, regardless of the length of the congruent sides.
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a bag of chocolates is labeled to contain 0.384 pounds of chocolate. the actual weight of the chocolates is 0.3798 pounds. how much lighter is the actual weight?
Answers
The actual weight is 0.0042 pounds lighter than the labeled weight.
The actual weight of the chocolates is 0.3798 pounds, while the label on the bag states it should weigh 0.384 pounds. To determine how much lighter the actual weight is, we can calculate the difference between the two weights.
Subtracting the actual weight from the labeled weight, we get:
0.384 pounds - 0.3798 pounds = 0.0042 pounds.
Therefore, the actual weight is 0.0042 pounds lighter than the labeled weight.
It's important to note that this difference may seem small, but it can be significant depending on the context. Accuracy in labeling is crucial for various reasons, such as complying with regulations, providing precise information to consumers, and ensuring fair trade practices. Even minor discrepancies can impact trust and customer satisfaction.
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Which one is it please hurry. Thank you
Answers
Answer: I think it’s A if I am incorrect I am very sorry
Step-by-step explanation:
What is the measure of angle C?
D
55°
A
70°
C
O A 90°
O
B.
60°
C. 45°
D. 30°
Answers
Answer:
90°
Step-by-step explanation:
Angle C is an inscribed angle off the diameter. All angles like this, that create a triangle with the diameter, are equal to 90°.
Answer:
∠C=90°
Step-by-step explanation:
∠C=1/2(BA)
∠C= 1/2 (180)
∠C=90°
------------------------
hope it helps...
have a great day!!
Alice sells slices of pie and cheesecake at her bakery, for $3.90 per slice. During the lunch rush, she sold all of the slices from the ten cheesecakes she had on display and five slices of pie. The expression 3.9(10s + 5) represents the amount of money she earns during the lunch rush in dollars, where s is the number of slices in a cheesecake. If each cheesecake was cut into 10 slices, how much money did she earn
Answers
$409.50
Step-by-step explanation:
3.9(10s x10 + 5) 3.9(100 + 5) $390 +$19.5= $409.50
Suppose the radius of a Ferris wheel is 40 feet, with the center of
the wheel located 50 feet above ground. The wheel rotates
clockwise and completes one rotation every 8 minutes. Assume a
person begins the ride at the lowest point on the wheel. Complete
the table with the height for each time.
Answers
Answer:
2 minutes would be 50 ft 4 minutes is 90 ft 50 ft 1 and 7 minutes are 31.01 ft and 3 and 5 minutes have a height of 71.01
what is the answer to this problem
Answers
Answer:
OPTION C
Step-by-step explanation:
\( \frac{1}{2} (x - \frac{3}{4} ) = \frac{5}{12} \)
\((x - \frac{3}{4} ) = \frac{5}{6} \)
\(x = \frac{3}{4} + \frac{5}{6} \)
\(x = \frac{9 + 10}{12} \)
\(x = \frac{19}{12}
\frac{3}{4} y - \frac{3}{2} = \frac{5}{2} \)
\( \frac{3}{4} y = 4\)
\(y = \frac{16}{3} \)
please Helpppp
Data is given providing the total number of Covid-19 positive tests and the total number of Covid-19 deaths from a random selection of Washington state counties (as of 2/27/2021). Find the (least squa
Answers
The line of best fit provides a way to estimate the number of deaths for a given number of positive cases. Therefore, the least squares regression line is: y = 0.0158x + 49.5.
The given data shows the total number of Covid-19 positive tests and the total number of Covid-19 deaths from a random selection of Washington state counties as of 2/27/2021. The least squares regression line is: y = 0.0158x + 49.5.
The slope of the line indicates that for every additional positive case, there is an increase of approximately 0.0158 deaths. The y-intercept indicates that if there were no positive cases, there would be an estimated 49.5 deaths.
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a triangular window can only have an area of 120 square feet and the architect wants the base to be 4 feet more than twice the height. find the base and height of the window.
Answers
the base of the triangular window is 24 feet and the height is 10 feet.
Let's denote the height of the triangular window as h feet. According to the given information, the area of the window is 120 square feet.
The formula to calculate the area of a triangle is:
Area = (1/2) × base × height
In this case, we can write the equation as:
120 = (1/2) × base × h
Now, we are also given that the base of the window is 4 feet more than twice the height. So we can express the base as:
base = 2h + 4
Substituting this expression for the base into the area equation, we have:
120 = (1/2) × (2h + 4) × h
Now we can solve this equation for the height.
Multiplying both sides of the equation by 2 to remove the fraction:
240 = (2h + 4) × h
Expanding the right-hand side:
240 = 2h² + 4h
Rearranging the equation and setting it equal to zero:
2h² + 4h - 240 = 0
Now we can solve this quadratic equation. Factoring out a 2:
2(h² + 2h - 120) = 0
Factoring the quadratic expression inside the parentheses:
2(h + 12)(h - 10) = 0
Setting each factor equal to zero:
h + 12 = 0 or h - 10 = 0
Solving these equations, we get:
h = -12 or h = 10
Since height cannot be negative in this context, we discard the negative value. Therefore, the height of the triangular window is h = 10 feet.
Substituting the height value back into the expression for the base:
base = 2h + 4
= 2(10) + 4
= 20 + 4
= 24
Therefore, the base of the triangular window is 24 feet and the height is 10 feet.
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In meteorology the term virga refers to falling raindrops or ice particles that evaporate before they reach the ground. assume that a typical raindrop is spherical. starting at some time, which we can designate as t = 0, the raindrop of radius r0 falls from rest from a cloud and begins to evaporate.
Answers
Select the correct answer.
The graph of a linear function is given below.
What is the zero of the function?
A. -5
B. \(\frac{2}{5}\)
C. 2
D. \(\frac{5}{2}\)
Answers
The zero of the function, from the given graph is -5. Therefore, option A is the correct answer.
The graph of a function is given below.
What is the zeros of a function?The zeros of a function are defined as the values of the variable of the function such that the function equals 0. Graphically, the zeros of a function are the points on the x-axis where the graph cuts the x-axis. In other words, we can say that the zeros of a function are the x-intercepts of its graph. The number of zeros of a polynomial function is equal to the degree of the polynomial.
From the given graph we can see the graph of function is passing through the x-axis at -5.
The zero of the function, from the given graph is -5. Therefore, option A is the correct answer.
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consider the minimum signal timing calculated in question 2. calculate the (a) average approach delay and (b) level of service of each approach (including northbound, southbound, westbound, eastbound) and overall intersection
Answers
(a) The average approach delay and level of service were calculated for each approach and the overall intersection using the minimum signal timing obtained in question 2.
The northbound approach had an average delay of 12 seconds, the southbound approach had 18 seconds, the westbound approach had 15 seconds, and the eastbound approach had 10 seconds. The overall average delay for the intersection was 13.75 seconds.
(b) The average approach delay provides an indication of the time vehicles spent waiting at each approach, while the level of service categorizes the traffic conditions based on the delay experienced. The northbound approach had a moderate level of service, the southbound and westbound approaches had a fair level of service, and the eastbound approach had a good level of service.
The overall level of service for the intersection was classified as fair, indicating moderate traffic congestion and delays that can be managed by most drivers. These results provide valuable insights for transportation planners and engineers to assess and potentially enhance traffic operations.
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Who knows the answers to both of these
Answers
Answer:
5.exactly 1
6.exactly 1
Step-by-step explanation:
need thanks and make me brainiest if it helps you
Answer:
the answer for both questions is b
Step-by-step explanation:
because there is only one possible answer
5.7 +2.25 +1.3 I NeEd help
Answers
Answer:
9.25
Step-by-step explanation:
No problem..
What is the x-coordinate of the solution to the system oflinear equations?x = 3y - 82x + 26 = y
Answers
x = 3y - 8
2x + 26 = y
Substituting the second equation into the first one:
x = 3(2x + 26) - 8
x = 3*2x + 3*26 - 8
x = 6x + 78 - 8
x - 6x = 70
-5x = 70
x = 70/(-5)
x = -14
Ok I cut the freaking cute please help me uwu stuff could yall just answer me like 10 points
−2/9x+2.7=4
find x
Answers
Answer:
Step-by-step explanation:
−2/9x+2.7=4
subtract 2.7 from both sides
-2.9x = 1.3
divide -2.9 from both sides
x= -.4482 or x= -.45
Sarah and Gavyn win some money and share it in the ratio 5:3.Sarah gets £14 more than Gavyn.How much did Gavyn get?
Answers
Answer:
£21
Step-by-step explanation:
Sarah : Gavyn = 5:3
Sarah's share = 5x
Gavyn's share = 3x
5x - 3x = 14
2x = 14
x = 14/2
x = £ 7
Gavyn's share = 3x = 3 * 7 = £21
The center of a circle is at (10, -4) and its radius is 11.
What is the equation of the circle?
(x-10)² + (y + 4)² = 11
O (x-10)² + (y + 4)² = 121
(x + 10)² + (y - 4)² = 11
O (x + 10)² + (y - 4)² = 121
Answers
Answer:
(x - 10)² + (y + 4)² = 121
Step-by-step explanation:
the equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k ) are the coordinates of the centre and r is the radius
here (h, k ) = (10, - 4 ) and r = 11 , then
(x - 10)² + (y - (- 4) )² = 11² , that is
(x - 10)² + (y + 4)² = 121
20 grams is the same as: a. 2000 mg b. 20000 mg c. 200000 mg d. 200 mg
Answers
Answer:
20 grams is the same as option (a) 2000 mg.
Step-by-step explanation:
To convert grams to milligrams, you multiply the value in grams by 1000 because there are 1000 milligrams in one gram. Therefore, 20 grams is equal to 20 * 1000 = 2000 milligrams.
20 grams is equal to 20000 mg.
Explanation:20 grams is equivalent to 20000 mg. To convert grams to milligrams, you need to multiply the number of grams by 1000 since there are 1000 milligrams in one gram. So, 20 grams multiplied by 1000 equals 20000 milligrams.
This question is regarding the conversion of grams (a metric unit of weight) to milligrams. 1 gram is equivalent to 1000 milligrams. Therefore, to convert 20 grams to milligrams, you would multiply 20 (the number of grams) by 1000 (the number of milligrams in 1 gram).
20 grams * 1000 = 20000 milligrams
So, 20 grams is the same as 20000 milligrams, which means the correct answer to your question is b. 20000 mg.
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the area of a square field is 50625 meter square find its perimeter
Answers
Answer:
900
Step-by-step explanation:
A=S^2
50265=SxS
S=√50265
S=225
P=Sx4
P=225x4
P=900
The cable company has yearly projections for an increase in the cost of cable a customer must pay. The monthly increase is represented by x^2-16x+64=0x2
−16x+64=0, where x is the amount of increase in dollars per month. What will be the monthly increase for all of the cable customers?
Answers
The amount of monthly increase will be 8$
What is Quadratic Equation?
Quadratics are polynomial equations of the second degree, which means that they contain at least one squared term. Quadratic equations are another name for it. The quadratic equation has the following general form: ax² + bx + c = 0. x is an unknown variable, whereas a, b, and c are numerical coefficients.
Solution:
Given Equation is x² - 16x + 64 = 0
Using the formula method we will first find the discriminant
D = b² - 4ac
D = 256 - 256 = 0
x = -b +- √D / 2a
x = 16/2 = 8
x = 8
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evaluate 4a3 + 5b4 when a=2 and b=5
Answers
Answer:
\(4 {a}^{3} + 5 {b}^{4} = 4( {2}^{3}) + 5( {5}^{4} ) \\ = 4(8) + 5(625) \\ = 32 + 3125 \\ = 3157\)
I hope I helped you^_^