Answer:
93
Step-by-step explanation:
Line EJ is a straight line, with Line DC cutting through it. So 180 = Angle DCJ + Angle DCE. So Angle DCE = 48. Triangles are equal to 180°. So 180 = ? +39 +48. So ? = 93
HELPPP!!!
A circular kitchen table has a diameter of 80 inches. How much fabric is needed to cover the table top? Use 3.14 for pi.
25.5
Step-by-step explanation:
The way to do this is:
80 * 3.14 equals to roughly 25.5
Find the distance between the points given below. Round your answer to the nearest tenth.
A (0,6) and B (-3,-1)
Answer:
7.6
Step-by-step explanation:
We want to find the distance between (0,6) and (-3,-1)
We can find the distance between any two points using the distance formula
Distance between two points =
\( \sqrt{(x2 - x1)^{2} +(y2 - y1) {}^{2} } \)
Where the values of x and y are derived from the the two points. (x1,y1) and (x2,y2)
Here the two points are (0,6) and (-3,-1)
So we have (x1,y1) = (0,6) so x1 = 0 and y1 = 6
And we have (x2,y2) = (-3,1) so x2 = -3 and y2 = -1
Now we plug in the values of x and y into the formula and evaluate to get the distance.
Again recall distance = √(x2-x1)²+(y2-y1)²
==> plug in x2 = -3 , x1 = 0, y2 = -1 and y1 = 6
Distance = √(-3-0)²+(-1-6)
==> evaluate operations inside of parenthesis
Distance = √(-3)²+(-7)²
==> evaluate all exponents
Distance = √9+49
==> and 9 and 49
Distance = √58 = 7.6 (rounded)
plzzzzzzzzzzzz help
Answer:
58
Step-by-step explanation:
Total area = 7 × 10 - 6 × 2 = 70 - 12 = 58 units²
Thirty samples of size 4 of the customer waiting time at a call center for a health insurance company resulted in an overall mean of 10.4 minutes and average range of 0.9 minutes . Compute the control limits for x and r charts.
the control limits for the x-bar chart are 9.7439 minutes (LCL) and 11.0561 minutes (UCL), and the control limits for the R chart are 0 minutes (LCL) and 2.0529 minutes (UCL).
To compute the control limits for the x-bar (mean) and R (range) charts, we'll use the following formulas:
For the x-bar chart:
Upper Control Limit (UCL) for x-bar = x-double-bar + A2 * R-bar
Lower Control Limit (LCL) for x-bar = x-double-bar - A2 * R-bar
For the R chart:
Upper Control Limit (UCL) for R = D4 * R-bar
Lower Control Limit (LCL) for R = D3 * R-bar
Where:
x-double-bar = Overall mean of the sample means
R-bar = Overall mean of the sample ranges
A2 = Constant from the control chart constants table
D4 = Constant from the control chart constants table
D3 = Constant from the control chart constants table
For sample sizes of 4, the control chart constants are as follows:
A2 = 0.729
D4 = 2.281
D3 = 0
Given the information you provided:
Overall mean (x-double-bar) = 10.4 minutes
Average range (R-bar) = 0.9 minutes
Let's calculate the control limits:
For the x-bar chart:
UCL for x-bar = 10.4 + 0.729 * 0.9
= 10.4 + 0.6561
= 11.0561 minutes
LCL for x-bar = 10.4 - 0.729 * 0.9
= 10.4 - 0.6561
= 9.7439 minutes
For the R chart:
UCL for R = 2.281 * 0.9
= 2.0529 minutes
LCL for R = 0
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which one of the following is not a condition of the binomial distribution? a. independent trials b. only two outcomes c. probability of success remains constant from trial to trial d. at least 10 observations
Answer:
The correct option is B: Only two outcomes
Explanation:
The probability of success remains constant from trial to trial, and subsequent trials are independent. A binomial distribution, which results from counting successes over a series of trials, has only two possible outcomes on each trial
The likelihood of success is constant from trial to trial, and subsequent trials are independent. A binomial distribution, which derives from counting successes across a series of trials, has just two possible outcomes on each trial.
It is a distribution style with two potential results. Coin flipping is a common use of binomial distribution. There are just two possible outcomes from a coin toss: heads or tails, and each has an equal probability of 50%.
The probabilities of each of the two occurrences are multiplied together to yield the probability of two independent events, and, both occurring: P (A) P (B) = P (A a n d B).
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.
A deep freezer is accidentally unplugged, and the temperature increases to 10ºF before an employee notices and plugs the machine back in. The initial temperature of the freezer was –5ºF. The freezer remained unplugged for an estimated 3 hours. Assuming the temperature changed at a steady rate, how much did the temperature change per hour?
Answer:
5 degrees per hour
Step-by-step explanation:
-5+n=10
+5. +5
n=15
15/3=5
Gravel is being dumped from a conveyor belt at a rate of 20 cubic feet per minute. It forms a pile in the shape of a right circular cone whose base
diameter and height are always the same. How fast is the height of the pile increasing when the pile is 14 feet high? Recall that the volume of a
right circular cone with height h and radius of the base r is given by V=pi/3 r²h.
Your answer: ______
feet per minute.
Answer:
The height of the pile is increasing at a rate of 16.72 feet per minute. To solve this problem, we need to use the volume formula for a right circular cone: V=pi/3 r²h. We know that the volume is 20 cubic feet per minute, the height is 14 feet and the radius of the base is 14 feet. So we can calculate the rate of change of the height by rearranging the formula to give v/(pi/3r²). So for our example, v/(pi/3*14²)=20/(pi/3*14²)=20/(3.14*196)=20/613.44=16.72 feet per minute.
Elijah is keeping track of his baby sister’s shoe size at different ages throughout her childhood. Which statements about the relationship between Elijah’s sister’s shoe size and her age are true? Select all that apply.
A. The relationship is a continuous function.
B. The relationship is a discrete function.
C. The domain and range are restricted to positive numbers.
D. The domain and range are restricted to positive integers.
Answer:
B and D
Step-by-step explanation:
The function is the relation between the sister's shoe size and her age, being age the independent variable x, and the shoe size the dependent variable y.
If we think this through, we'll find out that age is a discrete variable, and shoe size too. Discrete variable refers to those variable that only admit whole numbers, they don't admit decimal numbers. So, in this case, both variables aren't represented by decimal values. So, the relationship is discrete function, punctual data.
Similarly, the function must be restricted to positive integers, because, as we already said, the variable only admit discrete values and we have to add that only should admit positive discrete values, because age cannot be negative, it wouldn't make sense, also shoe size cannot be negative. In this context, negative numbers don't make any sense.
Answer:
b and d
Step-by-step explanation:
Use the Ratio Test or the Root Test to determine if the following series converges absolutely or diverges ⁽⁻⁶⁾ Σ ᴷ⁼¹ ᵏˡ Select the correct choice below and fill in the answer box to complete your choice (Type an exact answer in simplified form) A. The series converges absolutely by the Ratio Test because r = B. The series diverges by the Root Test because p= OC. Both tests are inconclusive because re= and p=
Ratio test:The ratio test is used to find out whether the given series is convergent or divergent. It is applied to series whose terms are positive. the series diverges by the Root Test because p= 1.
And if the limit is exactly equal to 1, then the test is inconclusive. The ratio test is one of the best tests that can be used for the majority of series.The ratio test can be expressed as below Root test:The root test is used to determine whether a series is convergent or divergent. It is a quick method for determining the convergence of an infinite series. This test is an application of the limit comparison test.
The test states that if the limit as n approaches infinity of the nth root of the absolute value of the nth term is less than 1, then the series converges absolutely. If the limit is greater than 1 or infinite, then the series diverges. And if the limit is exactly equal to 1, then the test is inconclusive. It is one of the most useful convergence tests.
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4) Sara took a ferry to a nearby island that lasted for 5 days. Although she forgot to check the date when she departed, during the trip she heard someone say the date was August 14". When she arrived on the island, a native told Sara it was August 16th. What date did Sara start her trip?
Describe the engineering project providing, if available, the location, the purpose, the cost, the duration, etc.
Project: Construction of a Sustainable Bridge in Portland, Oregon
Location: Portland, Oregon, United States
Purpose: The project aims to replace an old and structurally deficient bridge with a modern, sustainable, and environmentally friendly one. The new bridge will accommodate increased traffic demands, provide improved safety features, and minimize its ecological footprint.
Cost: The estimated cost for the construction is $50 million, funded through a combination of federal grants and state funds.
Duration: The project is scheduled to be completed within three years, from groundbreaking to final inspection and opening for public use.
Details: The new bridge will incorporate sustainable design principles, using recycled materials and advanced engineering techniques to minimize energy consumption and carbon emissions. It will also include designated lanes for bicycles and pedestrians, promoting alternative transportation methods. The project will enhance connectivity, reduce traffic congestion, and contribute to the overall improvement of the city's infrastructure and environmental sustainability.
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For what value of k does the equation have no solution? kx - 4 = 5x + 8
Answer:
Your answer is: k = 5+12/x
Isolate the variable by dividing each side by factors that don't contain the variable.
Step-by-step explanation:
Hope this helped : )
Akbar bought a watch at a discount of 5%. The original price of the watch was Rs 910. How much did Akbar pay for the watch?
Akbar paid Rs 864.50 for the watch after applying the 5% discount.
Akbar bought a watch that was originally priced at Rs 910, but he was able to purchase it at a 5% discount. To calculate how much he paid for the watch, we need to first find out how much the discount was.
To do this, we can use the formula:
Discount = Original price x Discount rate
In this case, the original price of the watch is Rs 910 and the discount rate is 5%, which we can express as a decimal by dividing by 100:
Discount = Rs 910 x 0.05
Discount = Rs 45.50
So the discount Akbar received on the watch was Rs 45.50.
To find out how much he actually paid for the watch, we can subtract the discount from the original price:
Price paid = Original price - Discount
Price paid = Rs 910 - Rs 45.50
Price paid = Rs 864.50
Therefore, Akbar paid Rs 864.50 for the watch after applying the 5% discount.
In summary, Akbar bought a watch at a 5% discount, which amounted to Rs 45.50. He paid Rs 864.50 for the watch after the discount was applied, even though the original price of the watch was Rs 910.
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can someone please give me an answer for this
Answer:
it needed your to focus on school work , homework and work hard to make yourself feel ready
Carlos uses a 3-D printer that melts plastic to produce custom action figures. The growth shows the amount of plastic it melts Over time . How much plastic does the printer melt Ik 5.7 minutes?
Answer and Step-by-step explanation:
It be more than 2 ounces and less than 1.5 ounces
The amount of plastic that is melted in 5.7 minutes is 1.71
To find this, you would use the point on the graph. Divide both of those numbers by 4.
(4, 1.2)
4/4 = 1.
1.2/4 = 0.3.
So, for every minute, 0.3 of an ounce of plastic is melted.
We then multiply 0.3 by 5.7 to get 1.71.
#teamtrees #PAW (Plant And Water)
Consider the following utility functions, where W is wealth:
(a) U(W) = W2
(b) U(W) = 1 W
(c) U(W) = −W
(d) U(W) = W
(e) U(W) = ln(W)
(f) U(W) = W1−γ 1 − γ , with γ = 2
How likely are each of these functions to represent actual investor preferences? Why?
The likelihood of each utility function representing actual investor preferences varies based on different factors such as risk aversion, wealth accumulation, and personal preferences.
Utility function (a) U(W) = \(W^2\) represents a preference for increasing wealth at an increasing rate, indicating risk aversion and a desire for wealth accumulation. This is a commonly observed preference among investors.
Utility function (b) U(W) = 1/W represents a preference for wealth preservation and risk aversion. It implies that the marginal utility of wealth decreases as wealth increases, which aligns with the concept of diminishing marginal utility.
Utility function (c) U(W) = -W represents a preference for taking on risk and potentially incurring losses. This utility function implies a risk-seeking behavior, which is less common among investors who typically aim to maximize their wealth.
Utility function (d) U(W) = W represents a preference for increasing wealth linearly. This utility function suggests a risk-neutral attitude where investors are indifferent to risk and aim to maximize their wealth without considering risk factors.
Utility function (e) U(W) = ln(W) represents a preference for wealth accumulation, but with a decreasing marginal utility. This logarithmic utility function reflects risk aversion and diminishing sensitivity to changes in wealth.
Utility function (f) U(W) = \(W^(1-γ)\)/(1-γ), with γ = 2, represents risk-neutral behavior. However, the likelihood of this utility function representing actual investor preferences depends on the specific value of γ chosen. If γ is different from 2, it may represent risk aversion or risk-seeking behavior.
Overall, utility functions (a), (b), (d), and (e) are more likely to align with actual investor preferences due to their consistency with risk aversion and wealth accumulation. Utility function (c) represents a less common risk-seeking behavior, and utility function (f) depends on the chosen value of γ, making it less likely to represent typical investor preferences.
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Which figure is a translation of Figure 1?
Figure A
Figure B
Figure C
None of the above
Order the side lengths from least to greatest.
Answer:
38, 40, and 102
Step-by-step explanation:
when we take a look at this problem which looks the smallest to you? 38! so then whe look again and which looks the second smallest..? 40. so then we are left with 102 which is the biggest number. Therefore your answer is 38, 40, and 102
A pre -image has coordinates N(2,3), U(5,-1) and M(4,1) it is reflected over the x-axis what is the y-coordinate of point U’?
Answer:
U' (5, 1 )
Step-by-step explanation:
under a reflection in the x- axis
a point (x, y ) → (x, - y ) , then
U (5, - 1 ) → U' (5, - (- 1) ) → U' (5, 1 )
If included in the table, which ordered pair, (-4,1) or (1,-4) would result in a relation that is no longer a function? Explain your answer.
(Pls hellp it's my last question)
Answer:(-4,1)
Step-by-step explanation:x values cannot be the same
We are interested in the first few Taylor Polynomials for the function
f(x)=5ex+7e−x
centered at a=0
To assist in the calculation of the Taylor linear function, T1(x), and the Taylor quadratic function, T2(x), we need the following values:
f(0)=
f'(0)=
f''(0)=
To calculate the Taylor polynomials for the function f(x) = 5e^x + 7e^(-x) centered at a = 0, we need the values of f(0), f'(0), and f''(0). These values are: f(0) = 12, f'(0) = 5 - 7 = -2, and f''(0) = 5 + 7 = 12.
The Taylor polynomials for a function centered at a point involve evaluating the function and its derivatives at that point. In this case, we are interested in the function f(x) = 5e^x + 7e^(-x) centered at a = 0.
To find the values of f(0), f'(0), and f''(0), we substitute x = 0 into the function and its derivatives. Let's calculate them one by one:
f(0):
Substituting x = 0 into f(x), we get f(0) = 5e^0 + 7e^(-0) = 5 + 7 = 12.
f'(x):
To find f'(x), we differentiate f(x) with respect to x. The derivative of e^x is e^x, and the derivative of e^(-x) is -e^(-x). Therefore, f'(x) = 5e^x - 7e^(-x).
Substituting x = 0 into f'(x), we get f'(0) = 5e^0 - 7e^(-0) = 5 - 7 = -2.
f''(x):
To find f''(x), we differentiate f'(x) with respect to x. The derivative of e^x is e^x, and the derivative of -e^(-x) is e^(-x). Therefore, f''(x) = 5e^x + 7e^(-x). Substituting x = 0 into f''(x), we get f''(0) = 5e^0 + 7e^(-0) = 5 + 7 = 12. Thus, the values we obtained are: f(0) = 12, f'(0) = -2, and f''(0) = 12.
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Which statement is true? A. A ray is a set of points that extends infinitely in both directions. B. A line consists of two endpoints and all the points between them. C. A line segment consists of two endpoints and all the points between them. D. A line has two endpoints.
The true statements are:
C. . A line segment consists of two endpoints and all the points between
D. A line has two endpoints.
What is a line segment?A line segment is bounded by two distinct points on a line.
How to know which statement is true?
From the definition,.
Also, we know that through two points one and only one line can pass .
Therefore, A line has two endpoints.
So, option C and D are correct.
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The function f(x) = 300 (0.70)^x -25 models the amount of aspirin left in the bloodstream after
x hours. Graph the function showing the key features of the graph. Interpret the key features of
the problem
The equation of the function is an exponential function and the key features are Domain: x ≥ 0 and Range: y ≥ 0
How to interpret the function?The equation of the function is given as:
f(x) = 300 (0.70)^x -25
See attachment for the graph of the function f(x) = 300 (0.70)^x -25.
From the attached graph, we have the following key features and interpretation
Domain: x ≥ 0: The number of hours cannot be less than 0Range: y ≥ 0: The amount of blood cannot be less than 0Read more about exponential functions at:
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A square postage stamp has area 1280 mm. About how long is each side?
Answer:
Each side is 35.78 mm
Step-by-step explanation:
A square would have 4 equal sides. Since area of a square is x^2, where x is one side, we can write:
x^2 = 1280
x = 35.78 mm
Each side is 35.78 mm
a square with side length x is inscribed in a right triangle with sides of length 3, 4, and 5 so that one vertex of the square coincides with the right-angle vertex of the triangle. a square with side length y is inscribed in another right triangle with sides of length 3, 4, and 5 so that one side of the square lies on the hypotenuse of the triangle. what is x y ?
The value of x/y is 37/35, if a square with side length x is inscribed in a right triangle and a square with side length y is inscribed in another right triangle.
Note that triangle ABC and triangle FBE are similar,(by AAA)
As \(\angle B\) is common in both, and \(\angle F= \angle A\) as they both are 90°
so, the \(\angle C\) will also be equal to \(\angle E\)
so \(\frac{BF}{FR} = \frac{AB}{AC}\)
This can be written as \(\frac{4-x}{x} = \frac{4}{3}\)
solving: 12 - 3x = 4x
7x = 12 or x = 12/7
Similarly, triangle A'B'C' and triangle RB'Q are similar,
so RB' = \(\frac{4}{3}y\) and C'S= \(\frac{3}{4}y\)
Thus, C'B' = C'S+ SR+ RB'
or \(\frac{4}{3}y + y + \frac{3}{4} = 5\)
solving y = 60/37
Now, x/y = \(\frac{12}{7} \times \frac{37}{60}\) = 37/35
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wus 9 + 10 equal please help wus 9 = 10
Answer:
19
Step-by-step explanation:
it is 19
yes
wait no its 100000000000
I big brain UwU
Answer:
Step-by-step explanation:its 21
Please help with spanish! I just need three examples for each one. Thank you!!
Answer:
Hola and Como estas
Step-by-step explanation:
Hola means hello and you can use it formally and informally when speaking to friends or respected family members.
Como estas is a informal way of saying how are you to friends.
the mass of the planet veins is aproximitley 5x10^24 if the mass sun is 4x10^5
The mass of the sun is about 2 × 10³⁰ kilograms.
Given that,
Mass of the planet Venus = 5 × 10²⁴ kilograms.
Also given that,
Mass of the sun is 4 × 10⁵ times the mass of the Venus.
We have to find the actual mass of the sun.
Substituting the given values,
we get,
Mass of the sun = 4 × 10⁵ times the mass of the Venus.
We have to multiply mass of the Venus to 4 × 10⁵ to get the mass of the sun.
Mass of the sun = 4 × 10⁵ × Mass of Venus
= 4 × 10⁵ × 5 × 10²⁴
= 20 × 10⁵⁺²⁴
= 20 × 10²⁹
= 2 × 10³⁰
Hence the mass of the sun is about 2 × 10³⁰ kilograms.
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The complete question is as given below :
What amount of money do you have if you have 5 pennies, 13 nickels, 14 dimes, 2 quarters, and one 5 dollar bill?
Answer:
$7.60
Step-by-step explanation:
Penny = $0.01Nickel = $0.05Dime = $0.10Quarter = $0.25( 5 × 0.01 ) + ( 13 × 0.05 ) + ( 14 × 0.10 ) + ( 2 × 0.25 ) + 5
-The 5 at the end represents the one five dollar bill.
Simplified: (solve what is in the parenthesis)
0.05 + 0.65 + 1.4 + 0.50 + 5 = $7.60
Find the work done by the force field F in moving an object from P to Q. F(x,y)=(2x+y)i+xj;p(1,1),Q(5,8)
The work done by the force field F in moving an object from P to Q is 97 units.
To find the work done, we use the line integral formula:
\(\[ W = \int_C \mathbf{F} \cdot d\mathbf{r} \]\)
where \(\(\mathbf{F}\)\) is the force field, \(\(d\mathbf{r}\)\) is the differential displacement vector along the curve C, and W is the work done.
Given \(\(\mathbf{F}(x, y) = (2x + y)i + xj\)\), we can write it as \(\(\mathbf{F} = (2x + y)i + 0j + xj\)\).
To evaluate the line integral, we need to parameterize the curve from P to Q. Let's define the curve as \(\(\mathbf{r}(t) = xi + yj\)\), where x and y vary from the coordinates of P to the coordinates of Q.
Substituting the values of P and Q into the parameterization, we get \(\(\mathbf{r}(t) = (1 + 4t)i + (1 + 7t)j\)\), where \(\(0 \leq t \leq 1\)\).
Differentiating \(\(\mathbf{r}(t)\)\) with respect to t, we find \(\(d\mathbf{r} = 4i + 7j\,dt\)\).
Now, substituting the values of \(\(\mathbf{F}\) and \(d\mathbf{r}\)\) into the line integral formula, we have:
\(\[ W = \int_C (2x + y)i \cdot (4i + 7j)\,dt + \int_C xj \cdot (4i + 7j)\,dt \]\)
Evaluating the integrals with the given parameterization, we obtain:
\(\[ W = \int_0^1 (2(1 + 4t) + (1 + 7t))(4) + (1 + 4t)(7)\,dt \]\)
Simplifying the expression and evaluating the definite integral, we find:
\(\[ W = \int_0^1 (8 + 8t + 4t + 7 + 28t)(dt) = \int_0^1 (39 + 40t)dt = 39t + 20t^2 \Big|_0^1 = 39 + 20 = 59 \]\)
Therefore, the work done by the force field F in moving the object from P to Q is 59 units.
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