Answer:
( -2,5)
Step-by-step explanation:
To find the x coordinates of the midpoint, add the x coordinates of the endpoint and divide by 2
( -9+5)/2 = -4/2 = -2
To find the y coordinates of the midpoint, add the y coordinates of the endpoint and divide by 2
( 3+7)/2 = 10/2 = 5
The midpoint is ( -2,5)
Q4: In geometry, any three lines can form a triangle if the summation of the length of any two sides is greater than the length of the third side. Now, you have the length of three sides: X,22 and 9, write an algorithm using a Pseudocode to print "Can Form a Triangle" or "Can't Form a Triangle".
Below is the pseudocode algorithm to determine whether three given side lengths can form a triangle:
Input: X, side1, side2 (where X is the unknown side length, side1 and side2 are the known side lengths)
if (side1 + side2 > X) AND (side2 + X > side1) AND (side1 + X > side2) then
print "Can Form a Triangle"
else
print "Can't Form a Triangle"
end if
The algorithm checks whether the sum of any two sides is greater than the length of the third side for all combinations of sides. If this condition holds true for all combinations, then the given side lengths can form a triangle; otherwise, they cannot.
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A confectionery company mixes three types of toffees to form one kilogram " toffee packs. the pack is sold at rs. 17. the three types of toffees cost rs.20, rs. 10, rs. 5 per kg. resp. the mixture must contain atleast 300 gms of first type. also weight of first two types must be at least be equal to weight of third type. find the optimal mix for maximum profit.answer
The maximum profit is 6 and it is obtained when we mix 0.6 kg of type A, 0 kg of type B, and 0.4 kg of type C.
The optimal mix for the maximum profit can be found as follows:
The company mixes three types of toffees, A, B, and C. Let the weights of type A, B, and C be a, b, and c kg, respectively. Let us assume that we are making 1kg of toffee pack. Therefore, the weight of type C should be 1 - (a + b) kg. Also, the mixture must contain at least 300 gms of type A i.e a >= 0.3 kg
Also, the weight of the first two types (A and B) must be at least equal to the weight of type C, i.e a + b >= c. This condition can also be written as a + b - c >= 0
Let us now calculate the total cost of making 1kg of toffee pack.
Cost = 20a + 10b + 5c
If the pack is sold at Rs. 17, then the profit per 1kg of toffee pack is by
Profit = Selling Price - Cost = 17 - (20a + 10b + 5c)
Now we have the following linear programming problem:
Maximize P = 17 - (20a + 10b + 5c)
Subject to constraints: a + b + c = 1 (since we are making 1kg of toffee pack)
a >= 0.3a + b - c >= 0a, b, c >= 0
We can use the simplex method to solve this linear programming problem. However, to save time, we can solve it graphically. The feasible region is as follows:
We can see that the corner points of the feasible region are: (0.3, 0, 0.7), (0.6, 0, 0.4), (0, 0.5, 0.5), and (0, 1, 0).
Let us calculate the profit at each of these corner points. For example, at the point (0.3, 0, 0.7), we have a = 0.3, b = 0, and c = 0.7. Therefore, the profit is
P = 17 - (20(0.3) + 10(0) + 5(0.7)) = 3.5
Similarly, we can calculate the profit at the other corner points as well. The corner point (0.3, 0, 0.7) gives a profit of 3.5
Corner point (0.6, 0, 0.4) result in a profit of 6
Corner point (0, 0.5, 0.5) results in a profit of 5
Corner point (0, 1, 0) gives a profit of 3
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(3x 2)*7* _ x 12 x 7)
3528x^3
when you look it up remove the bar at the bottom or its weird right?
Often, conditional probabilities are worded with what phrase?
"dependent"
"given that"
"either/or"
"mutually exclusive"
The correct phrase commonly used to word conditional probabilities is "given that." This phrase explicitly indicates the condition or event on which the probability calculation is based and emphasizes the dependence between events in the probability calculation.
Let's discuss each option in detail to understand why the correct phrase is "given that" when wording conditional probabilities.
"Dependent": The term "dependent" refers to the relationship between events, indicating that the occurrence of one event affects the probability of another event. While dependence is a characteristic of conditional probabilities, it is not the specific wording used to express the conditionality.
"Given that": This phrase explicitly states that the probability is being calculated based on a specific condition or event being true. It is commonly used to introduce the condition in conditional probabilities. For example, "What is the probability of event A given that event B has already occurred?" The phrase "given that" emphasizes that the probability of event A is being evaluated with the assumption that event B has already happened.
"Either/or": The phrase "either/or" generally refers to situations where only one of the two events can occur, but it does not convey the conditional nature of probabilities. It is often used to express mutually exclusive events, where the occurrence of one event excludes the possibility of the other. However, it does not provide the specific condition on which the probability calculation is based.
"Mutually exclusive": "Mutually exclusive" refers to events that cannot occur simultaneously. While mutually exclusive events are important in probability theory, they do not capture the conditionality aspect of conditional probabilities. The term implies that if one event happens, the other cannot occur, but it does not explicitly indicate the specific condition on which the probability calculation is based.
In summary, the correct phrase commonly used to word conditional probabilities is "given that." It effectively introduces the condition or event on which the probability calculation is based and highlights the dependency between events in the probability calculation.
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Help me solve this problem
Drag each tile to the correct box.
The composite figures below are made of right prisms.
Answer: Figure 1, Figure 2, Figure 3
Step-by-step explanation:
Blue figure Volume:
\((2 *5^{3} ) + (15*5*5) = 625feet^{3}\)
Pink figure volume:
\((5^{3})+(5*5*17.5) + (12.5*2.5*5) = 718.75 feet^{3}\)
Green figure volume:
\((4*12.5*11) + (2*9*11) = 748 feet^{3}\)
What is the average speed for the whole journey?
Answer:
speed is equal to distance covered over time
share 200 in the ratio 3:1:4
Answer:
75:25:100
Step-by-step explanation:
Solve for x.
3(2 − 4x) + 4x > 17
Answer:
The answer is-11/8
Step-by-step explanation:
3(2-4x)+4x>17
6-12x+4x>17
-8x>17-6
-8x>11
divide both sides by-8
-8x/-8=11/-8
x= -11/8
Step-by-step explanation:
● 6-12x+4x>17
●6-8x>17
●-8x>17-6
●-8x>11
●-8x÷-8>11÷-8
●x= -11/8
Determine whether the statement is true or false. If it is true, explain why. If it is false, explain why or give an example that disproves the statement.If f(x)=2x−x2+1/3x3.⋯………. converges for all x, then f′′′(0)=2.
The statement given is false. The reason for this is that the convergence of a function does not necessarily imply anything about the value of its derivative. To disprove the statement, we can consider the function f(x) = x^2, which converges for all x, but its third derivative f'''(x) = 0, which means that f'''(0) is also equal to 0. Hence, f′′′(0) is not equal to 2.
In general, it is important to note that the convergence of a function does not provide any information about the behavior of its derivatives. Moreover, a function may converge at some points and diverge at others, and this can be determined by analyzing the behavior of its terms or by using convergence tests. In this case, it is necessary to compute f′′′(0) directly using the definition of the derivative or by applying differentiation rules.
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100 POINTS FRESHMAN MATH 1 FUNCTIONS HELP
Answer:
actually which one of thise is th qus in this????
Step-by-step explanation:
please tell
find the work done by the force field f=2x^2 y,-2x^2-y in moving an object y=x^2 from
The work done by the force field F=2x²y,-2x²-y in moving an object y=x² from (-1,1) to (1,1) is given as (√5/4) - (3√2/4) + (5/8) ln 5 - (5/8) ln 17.
Given the force field F=2x²y,-2x²-y and the object y=x² is being moved from the point (-1,1) to (1,1).We can calculate the work done by the force field by evaluating the line integral of the force field along the given curve, i.e., W = ∫CF . drThe curve is given as y=x² from (-1,1) to (1,1).To find the work done, we need to find the unit tangent vector to the given curve. Hence, we can find the tangent vector by differentiating the curve. That is, r(t) = , r'(t) = <1,2t>.Therefore, the unit tangent vector is given as, T(t) = r'(t)/|r'(t)| => T(t) = <1,2t>/√(1+4t²).Now, we need to evaluate the line integral by substituting the values in the formula for the work done.So, W = ∫CF . dr= ∫CF . T(t) * |r'(t)| dt= ∫CF . T(t) * |r'(t)| dt= ∫CF . <2t²-2t²,2t-t²> * <1,2t>/√(1+4t²) dt= ∫CF . <0,2t-t³>/√(1+4t²) dt= ∫CF . <0,2t/√(1+4t²)> dt - ∫CF . <0,t³/√(1+4t²)> dtUsing the substitution u = 1+4t², du/dt = 8t, the integral can be evaluated as follows,= ∫(5-1) . <0,2/√u> (du/8) - ∫(1-5) . <0,u/2> (du/4)= (√5/4) - (3√2/4) + (5/8) ln 5 - (5/8) ln 17
Thus, the work done by the force field F=2x²y,-2x²-y in moving an object y=x² from (-1,1) to (1,1) is given as (√5/4) - (3√2/4) + (5/8) ln 5 - (5/8) ln 17.
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Guillermo bought some reams of paper for $10 each and a $100 printer. He spent a total of $450. Write and solve an equation to find the number of reams of paper Guillermo purchased.
Answer:
x = amount of paper
10x + 100 = 450
10x = 350
x = 35
Brainiest plz :)
At the end of 1st Quarter of 2009 the median price of a single-family home in Charleston/No. Charleston was $184,990. Single-family home prices in Charleston/No. Charleston decreased from the 1st Qtr of 2008 by 8.15%. NOTE: Depreciation means a negative value for r. (a). Estimate the median price of a single-family home in the 1st Qtr of 2008.
(b). If the median price of a single-family home falls at the same rate for the next 2 years, estimate the median price of a single-family home in the 1st Qtr of 2011.
The estimated median price of a single-family home in Charleston/No. Charleston in the 1st Quarter of 2008 is $201,048. If the median price continues to decrease at the same rate for the next two years, the estimated median price of a single-family home in the 1st Quarter of 2011 would be $144,458.
(a) To estimate the median price of a single-family home in the 1st Quarter of 2008, we need to calculate the original price before the 8.15% decrease. Let's assume the original price was P. The price after the decrease can be calculated as P - 8.15% of P, which translates to P - (0.0815 * P) = P(1 - 0.0815). Given that the end of 1st Quarter of 2009 median price was $184,990, we can set up the equation as $184,990 = P(1 - 0.0815) and solve for P. This gives us P ≈ $201,048 as the estimated median price of a single-family home in the 1st Quarter of 2008.
(b) If the median price of a single-family home falls at the same rate for the next two years, we can calculate the price for the 1st Quarter of 2011 using the estimated median price from the 1st Quarter of 2009. Starting with the median price of $184,990, we need to apply an 8.15% decrease for two consecutive years. After the first year, the price would be $184,990 - (0.0815 * $184,990) = $169,805.95. Applying the same percentage decrease for the second year, the price would be $169,805.95 - (0.0815 * $169,805.95) = $156,012.32. Therefore, the estimated median price of a single-family home in the 1st Quarter of 2011 would be approximately $144,458.
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Label each statement as True or False.
Answer:
1. False
2. False
3. True
Answer: 1. False 2. False 3. False
Step-by-step explanation:
All circles are similar Figures can be proven similar if one, or more, similarity transformations can be found that map one figure onto another. Consequently, a circle is defined by only one length - the radius.
choose h and k such that the system has (a) no solution, (b) a unique solution, and (c) many solutions. h k
Choosing h and k in the given system of linear equations such that they they have no solution, a unique solution, and many solutions is determined by the augmented matrix.
The augmented matrix is
[1 h 2
4 8 k].
Reduce matrix to row echelon form
a)We need to determine the values of h and k such that the system has no solution
8 - k =/ 0 and h -2 = 0
Hence, The System has No solution only when h=2, and k not equal to 18.
b)We need to determine the values of h and k such that the system has unique solution when
h - 2 =/ 0
The System has a Unique Solution only when h not equal to 2 and k is any Real number
c)We need to determine the values of h and k such that the system many solution when
8 - k = 0 and h -2 = 0
The system has many solutions only when h=2 and k= 8
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The complete question is :
choose h and k such that the system has (a) no solution, (b) a unique solution, and (c) many solutions. h & k
x1 + hx2 = 2
4x1 + 8x2 = k
where R is the region in the first quadrant bounded by the ellipse 4x2 +9y2 = 1.
The region R in the first quadrant bounded by the ellipse \(4x2 + 9y2 = 1\) is a special type of ellipse. \((x^2)/(a^2) + (y^2)/(b^2) = 1\), where a is the semi-major axis and b is the semi-minor axis. The region R in the first quadrant bounded by the ellipse\(4x2 + 9y2 = 1\) has an area of π/6.
In the given equation, the value of a is 1/2 and the value of b is 1/3. This ellipse is vertically aligned and centred at the origin. Since the region is confined to the first quadrant, it means that both x and y are greater than 0. Therefore, the limits of integration for x and y are 0 to a and 0 to b respectively.
The equation of the ellipse can be rewritten as \(y = ±(1/3)√[1 - 4x^2]\).
The top half of the ellipse is \(y = (1/3)√[1 - 4x^2]\) and
the bottom half is\(y = - (1/3)√[1 - 4x^2]\).
Thus, the integral is: \(∫∫ R 1 dA = ∫0^1 ∫0^(1/3) 1 dy dx,\) which is equal to the area of the ellipse. After integrating, we get the value as (1/2)π(a)(b),
which is equal to \((1/2)π(1/2)(1/3) = π/6.\)
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1. = -(x+4)2 - 4
Axis of Symmetry:
W
Vertex:
Domain:
Range:
Answer:
Axis of Symmetry: 4
Vertex: (4,-4)
What is the value of the expression 3y−z
y+5z
when y = 6 and z = 2?
\(\huge\text{Hey there!}\)
\(\huge\text{Question \#1}\)
\(\huge\textsf{3y - z}\)
\(\huge\textsf{= 3(6) - 2}\)
\(\huge\textsf{= 18 - 2}\)
\(\huge\textsf{= 16}\)
\(\boxed{\boxed{\huge\textsf{Answer: 16}}}\huge\checkmark\)
\(\huge\text{Question \#2}\)
\(\huge\textsf{y + 5z}\)
\(\huge\textsf{= 6 + 5(2)}\)
\(\huge\textsf{= 6 + 10}\)
\(\huge\textsf{= 16}\)
\(\boxed{\boxed{\huge\textsf{Answer: 16}}}\huge\checkmark\)
\(\huge\textsf{\boxed{\star\underline{\underline{16 = 16}}\star}\star}\)
\(\huge\text{Good luck on your assignment \& enjoy your day!}\)
~\(\frak{Amphitrite1040:)}\)
A group of students consists of four people in all; two women and two men. They agree to take turns taking notes in lecture. One person at a time will be selected at random from the group (without replacement) until everyone has had a turn. The expected value of the number of people selected before and including the first time a woman has a turn is (Q17)______ .
The standard error of the number of people selected before and including the first time a woman has a turn is (Q18)______ .
The expected value of the number of people selected before and including the first time a woman has a turn is 1.6667 and the standard error is 0.7454.
How to illustrate the information?It should be noted that the expected value will be:
1[p(x = 1)] + 2[p(x = 2)] + 3[p(x = 3)]
= 1(0.5) + 2(0.3333) + 3(0.1667)
= 1.6667
Var(X) = E(X²) - E(X)2
= 3.3335 & (1.6667)²
= 0.555611
The standard error will be:
= ✓0.555611
= 0.7454
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Julia had a bag filled with gumballs. There were 1 lemon-lime, 2 watermelon, and 3 grape gumballs. What is the correct sample space for the gumballs in her bag?
Sample space = 1, 2, 3
Sample space = 1, 2, 3, 4, 5, 6
Sample space = lemon-lime, watermelon, grape
Sample space = lemon-lime, watermelon, watermelon, grape, grape, grape
the correct sample space for the gumball in her bag is option (D) Sample space = lemon-lime, lemon-lime, watermelon, watermelon, watermelon, grape, grape, grape, grape, grape
What is sample space?The sample space S of a random experiment is defined as the set of all possible outcomes of an experiment. In a random experiment, the outcomes, also known as sample points, are mutually exclusive
Given, Julia had a bag filled with gumballs. There were 1 lemon-lime, 2 watermelon, and 3 grape gumballs.
The number of lemon limes in the bag = 2 lemon-lime
Number of watermelons in the bag = 3 watermelon
Number of grape gumballs in the bag = 5 grape gumball
Sample space is the set of all the possible outcomes of the experiment
Here there are 2 lemon-lime, 3 watermelons, and 5 grape gumball
Hence, if Julia had a bag filled with gumballs and there were 2 lemon-lime, 3 watermelon, and 5 grape gumballs, then the correct sample space for the gumball in her bag is an option (D) Sample space = lemon-lime, lemon-lime, watermelon, watermelon, watermelon, grape, grape, grape, grape, grape
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watermelon,lemon lime,lemon lime,grape,grape,grape
How are the properties of exponents used when dividing a polynomial by a monomial?
Answer:
a couple different obes
Step-by-step explanation:
there are five
CAN SOMEONE PLS HELP ME WITH THIS? ITS SO URGENT
(Pls show solution too)
Answer:
Step-by-step explanation:
t + u = 11 ----------- (1 )
10t + u = 10u + t - 9
10t + u - 10u - t = -9
10t - t + u - 10u = - 9
Combine like terms
9t - 9u = -9
Divide the entire equation by 9
\(\dfrac{9}{9}t-\dfrac{9}{9}u=\dfrac{-9}{9}\)
t - u = -1 --------------(2)
Add equation (1) & (2) and so, u will be eliminated and we can find the value of t
(1) t + u = 11
(2) t - u = -1
2t = 10
t = 10/2
t = 5
Plugin t = 5 in equation (1)
5 + u = 11
u = 11 - 5
u = 6
The original number is 56
g is most data likely to be skewed or symmetric? there is no right or wrong here but discuss and take a side on the issue.
Most data is likely to be skewed following a particular trait because when considering real life data, it is likely that it may concentrate on one end of the values on the real line as there is high uncertainty that exists with real life.
There is very little confidence that the population would behave in expected ways.
The skewed distribution implies the distribution that is not symmetrical. If a distribution is skewed it can be skewed to the left i.e. mean lies to the left of the center or skewed to the right i.e. mean lies to the right of the center of the distribution.
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Consider the "Velocity vs Time" graph in Spreadsheet Chapter 4 Excel Example.xls If you were to draw a line through these points, the line would be almost perfectly straight and would slope upward. This is because Acceleration is increasing at, or close to, a constant rate Velocity is increasing at a increasing rate. Velocity is increasing at, or close to, a constant rate The time intervals are decreasing at a decreasing rate The time intervals are increasing at, or close to, a constant rate. None of these answers is correct Acceleration is increasing at an increasing rate
The correct statement is: Velocity is increasing at, or close to, a constant rate.
If a line drawn through the points on the "Velocity vs Time" graph is almost perfectly straight and slopes upward, it suggests that the velocity is changing at a constant rate. This means that the object's acceleration is constant over the given time interval.
Acceleration refers to the rate of change of velocity. If the velocity is increasing at a constant rate, it implies that the object is experiencing a constant acceleration. The slope of the line on the graph represents this constant acceleration.
It's important to note that a straight line with a constant slope on a velocity vs time graph indicates uniform acceleration. The steeper the slope, the greater the acceleration. In this case, if the line is almost perfectly straight and slopes upward, it suggests that the object's acceleration is increasing at a constant rate.
To summarize, when a line drawn through the points on the "Velocity vs Time" graph is almost perfectly straight and slopes upward, it indicates that the velocity is increasing at a constant rate, which implies that the object is experiencing a constant acceleration.
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Sam bought a toy for $400 and sold it at a profit of 10% of the cost price. Calculate the SELLING PRICE of the toy.
Answer:
10% = 0.1 x 400 = 40
400 - 40 = 360$
PLEASE HELP!!!!!!!Find the length of the missing sides. Round your answers to the nearest tenth. (Hint: Always make sure to label your triangle first with your reference angle)
Answer:
(9.37, 17.7) ; (14.10, 19.42); (20.8, 22.3)
Step-by-step explanation:
For the first picture :
The missing angle :
180 - (32 + 90)
180 - (122) = 58°
To obtain the length of side x:
From ptthagoras:
Tan58° = opposite / Adjacent
1.6003345 = 15 / x
x = 15 / 1.6003345
= 9.37
y = sqrt(15^2 + 9.37^2)
y = sqrt(312.7969)
y = 17.7m
2)
Missing angle :
From ptthagoras :
Sin54° = opposite / hypotenus
0.8090169 = y/ 24
y = 0.8090169 * 24
y = 19.42
x = sqrt(24^2 - 19.42^2)
x = sqrt(198.8636)
x = 14.10
3)
Sin21° = opposite / hypotenus
0.3583679 = 8 /y
y = 8 / 0.3583679
y = 22.3
x = sqrt(22.3^2 - 8^2)
x = sqrt(433.29)
x = 20.8
which of the following give chart elements a realistic, three-dimensional look? A. axis•B. chart area•C. legend•D. plot area
The chart element that gives a realistic, three-dimensional look is D. plot area.
In a chart, the plot area is the area where the actual chart data is plotted. It is the main part of the chart where the lines, bars, or other data markers are displayed. To give a chart a realistic, three-dimensional look, shading and depth are applied to the plot area. This creates the illusion of depth and makes the chart appear more visually appealing and easier to read. The axis, chart area, and legend do not typically have a three-dimensional appearance, as they are typically two-dimensional elements that provide information about the chart data rather than displaying the data itself.
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Solve the first word problem .Will mark brainliest.
Answer: Area of path = 1492 m^2 Area of "no path" = 123508 m^2
Step-by-step explanation:
Probably wrong
Graph the function f(x)=-3x^2