Answer: 40 weeks
Step-by-step explanation:
so you got 2500 you subtract the 500 because that was her saving so you got 2000 left then you divide 2000 by 50 and you'll get 40
The sum of three consecutive odd integers is 75 . Find the value of the middle of the three.
The value of the middle of the three is 25.
Let x be the first odd integer, then the next two consecutive odd integers are x+2 and x+4. The sum of these three consecutive odd integers is given as 75, so we can write the equation:
x + (x+2) + (x+4) = 75
Simplifying the left side of this equation gives:
3x + 6 = 75
Subtracting 6 from both sides gives:
3x = 69
Dividing by 3 gives:
x = 23
So the first odd integer is 23, and the next two consecutive odd integers are 25 and 27. The middle of these three is the second consecutive odd integer, which is 25. Therefore, the value of the middle of the three is 25.
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Factor by grouping.
64p2 – 48p – 27
(8p – 9)(8p – 3)
(8p – 9)(8p + 3)
(8p + 9)(8p + 3)
(8p + 9)(8p – 3)
Answer:
B
Step-by-step explanation:
hope this helps with the work
how much energy does a 180 calorie half-pint carton of chocolate milk store
A 180 calorie half-pint carton of chocolate milk stores approximately 753.72 joules of energy.
To determine the amount of energy stored in the 180 calorie half-pint carton of chocolate milk, we can convert the calories to joules. One calorie is approximately equal to 4.184 joules. Therefore, 180 calories is equal to 180 * 4.184 = 753.72 joules.
Calories are a unit of energy commonly used in nutrition to measure the energy content of food. However, in scientific calculations and physical contexts, the SI unit for energy is the joule. So, by converting the calories to joules, we can express the energy content of the chocolate milk carton in a standard unit. Hence, a 180 calorie half-pint carton of chocolate milk stores approximately 753.72 joules of energy.
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Estimate.24.12÷8.1A.2B.2.9C.3D.3.9
Step 1:
Write the expression
\(24.12\text{ }\div\text{ 8.1}\)Step 2:
To estimate the expression, first, round each to the nearest whole number.
\(\begin{gathered} 24.12\text{ }\div\text{ 8.1} \\ 24.12\text{ }\approx\text{ 24} \\ 8.1\text{ }\approx\text{ 8} \end{gathered}\)Step 3:
Next, divide 24 by 8 to get the final answer.
\(\begin{gathered} =\frac{24}{8} \\ =\text{ 3} \end{gathered}\)Final answer
Option C
3
Example 1Find the length of the segment withthe given endpoints:C (3, 6) and D (7, -3).Post SlideStudents, draw anywhere on this slide!
The segment is a straight line that connects the two points C and D. We want to determine the distance between C and D. Looking at the given points, the x cordinates are 3 and 7. The y coordinates are 6 and - 3.
The first step is to determine the distance between the x coordinate. We can subtract the higher value from the lower value but we must take the absolute value. Therefore, the distance between the x coordinate is 3 - 7 = - 4. The absolute value is 4
The distance between the y coordinate would be 6 - - 3 = 9. The absolute value is 9
The next step is to find the square root of the sum of both distances. It becomes
\(\sqrt{4^2+9^2}\text{ = }\sqrt{97\text{ }}\)The length of the segment is 9.85
Point A is mapped to point of (-1,4) (x-4,y+1) following a reflection over y = 4.What are the coordinates of A?
Transformations
We are given the coordinates of point A=(-1,4).
A transformation (x-4,y+1) is applied. This means the x-coordinate is subtracted 4 and the y-coordinate is added 1 to get the point A' = (-1-4,4+1) = (-5, 5)
Now it's required to reflect A' over y=4
The vertical distance from the point to y=4 is 5-4 = 1.
Thus, we subtract 2*1 = 2 to the y-coordinate to get A'' = (-5,5-2) = (-5,3)
The final coordinates of the original point are (-5,3)
one week ty made (3x + 4) dollars. The following week he made (x + 8) dollars. How much more did he make the first week?
Answer:
(2x – 4) dollars
Step-by-step explanation:
The variance of the return on a portfolio with many securities is _______ dependent on the covariances between the individual securities than on the variances of the individual securities.
The variance of the return on a portfolio with many securities is more dependent on the covariances between the individual securities than on the variances of the individual securities.
The variance of a portfolio measures the variability or dispersion of the portfolio's returns. When a portfolio consists of multiple securities, the overall variance is influenced by the interrelationships among the returns of those individual securities.
The covariance between individual securities in a portfolio has a significant impact on the portfolio's variance.
The diversification benefits arise from the fact that covariances tend to offset each other, potentially leading to a lower overall portfolio variance compared to the sum of individual variances.
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What is the algebraic expression for 3+(1)x
3+(6x-5x)
(3+6x)-5x
3+(6-5)x
3+x
Answer:
84
Step-by-step explanation:
factor the trinomial below. x^2+13x+42
Answer:
(x + 6)(x + 7)
Step-by-step explanation:
To factor the trinomial x^2 + 13x + 42, we need to find two numbers that multiply to 42 and add up to 13.
One way to do this is to list all the pairs of factors of 42 and see which pair adds up to 13:
1, 42 -> 1 + 42 = 43
2, 21 -> 2 + 21 = 23
3, 14 -> 3 + 14 = 17
6, 7 -> 6 + 7 = 13
So the pair of factors that we want is 6 and 7. We can use these numbers to rewrite the middle term of the trinomial:
x^2 + 13x + 42 = x^2 + 6x + 7x + 42
Next, we can group the first two terms and the last two terms:
x^2 + 6x + 7x + 42 = (x^2 + 6x) + (7x + 42)
Now, we can factor out the greatest common factor from each group:
x(x + 6) + 7(x + 6)
Notice that we have a common factor of (x + 6) in both terms. We can factor this out:
(x + 6)(x + 7)
A runner is traveling at a constant rate of 8 meters per second. How long does it take for the runner to travel 100 meters?
Answer:
Total time taken = 12.5 second
Step-by-step explanation:
Given:
Speed of runner = 8 m/s
Total distance cover = 100 m
Find:
Total time taken
Computation:
Time taken = Distance / Speed
Total time taken = 100 / 8
Total time taken = 12.5 second
Please solve for all blanks
The blanks are filled as follows
coordinate key feature does the coordinate justification
make sense
(-7.565, 0) it is a key feature yes This is a zero
(0, 37) it is a key feature yes it is the y - intercept
(6, 46) it is a key feature yes it is the vertex
The constraint is that the range will always be
{y | y ∈ R ≤ 46}
What is vertex of quadratic function?The vertex of a quadratic function is the highest or lowest point of the parabolic graph of the function, which is also the turning point of the graph.
The vertex of a quadratic function in the form of y = ax^2 + bx + c is given by the coordinates
(x, y) = (-b/(2a), -(b^2 - 4ac)/(4a)).
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Analysts may use regression analysis to estimate the index model for a stock. When doing so, the slope of the regression line is an estimate of A. the α of the asset.B. the β of the asset.C. the σ of the asset.D. the δ of the asset.
When using regression analysis to estimate the index model for a stock, the slope of the regression line is an estimate of the β of the asset.
The beta (β) of an asset measures the sensitivity of the asset's returns to changes in the market as a whole. A beta of 1 indicates that the asset's returns move in lockstep with the market, while a beta greater than 1 indicates that the asset's returns are more volatile than the market and a beta less than 1 indicates that the asset's returns are less volatile than the market.
On the other hand, α (alpha) is a measure of the excess return of an asset relative to its expected return, given its beta. α is not estimated by the slope of the regression line, but rather by the intercept of the regression line.
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A group of 2 adults and 4 children spent $38 on tickets to a museum. A group of 3 adults and 3 children spent $40.50 on tickets to the museum. Based on this information, how much is an adult ticket, and how much is a child ticket?
Answer:
adult $8.00
child $5.50
Step-by-step explanation:
Let the price of 1 adult ticket = x.
Let the price of 1 child ticket = y.
2x + 4y = 38
3x + 3y = 40.5
Multiply the first equation by 3. Multiply the second equation by -2. Then add them.
6x + 12y = 114
(+) -6x - 6y = -81
-----------------------------
6y = 33
y = 33/6
y = 5.5
2x + 4y = 38
2x + 4(5.5) = 38
2x + 22 = 38
2x = 16
x = 8
Answer:
adult $8.00
child $5.50
Answer:
An adult ticket is $8.00 and a child's ticket is $5.50.
Step-by-step explanation:
We form a system of 2 equations and solve them.
Let a be the price of adult ticket and c the price of a child's.
2a + 4c = 38 (A)
3a + 3c = 40.5 (B)
Multiply equation A by 3 and equation B by -2:
6a + 12c = 114
-6a - 6c = -81 Adding these 2 equations:
0 + 6c = 33
c = 33/6 = 5.5.
Now we substitute for c in equation A:
2a + 4(5.5) = 38
2a = 38 - 22
2a = 16
a = 6.
Let's now check these results by substitution in equation B:
3a + 3c = 40.5
3(8) + 3(5.5) = 24.0 + 16.5 = 40.5
- so it checks out.
Use your knowledge of reference points to write a function for a unique parabola that satisfies the given information.
Given: Vertex (–3,–1);(–3,–1); one of two xx-intercepts (–4,0)(–4,0)
The equation of the parabola is y = (x + 3)^2 - 1
What are parabolic equations?Parabolic equations are second-order polynomial equations and they have the form y = ax^2 + bx + c or y = a(x - h)^2 + k
How to determine the equation of the parabola?The given parameters are
Vertex = (-3, -1)
X-intercept = (-4, 0)
A parabolic equation has the form y = a(x - h)^2 + k
Where the vertex is (h, k)
This means that, (h, k) is given as
(h, k) = (-3, -1)
Substitute (h, k) = (-3, -1) in the equation y = a(x - h)^2 + k
So, we have
y = a(x + 3)^2 - 1
Next, we substitute (-4, 0) for (x, y) in y = a(x + 3)^2 - 1
So, we have
0 = a(-4 + 3)^2 - 1
This gives
0 = a - 1
Solve for a
a = 1
Substitute a = 1 in y = a(x + 3)^2 - 1
y = (x + 3)^2 - 1
So, the required equation of the parabola is y = (x + 3)^2 - 1
Hence, the equation of the parabola is y = (x + 3)^2 - 1
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PLLEASE HELP ME LOOK AT IMAGE
Answer:
72 inches
Step-by-step explanation:
to find the perimeter of an irregular shape, you usually add all the measurements. please correct me if I am wrong
Answer:
100 inches hopefully it's the awnser ur looking for
Un restaurante local vendió un total de 767 hamburguesas y sándwiches el domingo. Se vendieron 67 sándwiches más que hamburguesas. Cuantas hamburguesas se vendieron el domingo?
Answer:
700 hamburguesas....
the measure of the amount of random sampling error in a survey’s result is known as ____.
The measure of the amount of random sampling error in a survey's result is known as margin of error.
The margin of error is a statistical concept that quantifies the degree of uncertainty or sampling error associated with survey results. It provides an estimate of the range within which the true population parameter is likely to fall. The margin of error is typically expressed as a percentage and is based on the sample size and the level of confidence desired.
In survey research, random sampling error refers to the natural variability that occurs when a subset of individuals, known as the sample, is selected to represent a larger population. It arises because the sample is not an exact replica of the entire population. The margin of error takes into account this inherent variability and provides a measure of how much the survey results might deviate from the true population values.
A larger sample size generally leads to a smaller margin of error, as it reduces the random variability associated with sampling. Similarly, a higher level of confidence, such as 95% confidence level, results in a larger margin of error to account for a wider range of potential values.
By considering the margin of error, survey researchers can assess the reliability and precision of their findings, providing a range of values within which the true population parameter is likely to reside.
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What is the value of c in the following equation? 29 + c = 62
33
43
81
91
The table represents an exponential function.
A 2-column table has 4 rows. The first column is labeled x with entries 1, 2, 3, 4. The second column is labeled y with entries 0.25, 0.125, 0.0625, 0.03125.
What is the multiplicative rate of change of the function?
The multiplicative rate of change of the function is 0.5.
What is a Multiplicative rate of change?The multiplicative rate of change is defined as the rate of change formula that gives the relationship describing how one quantity changes in relation to the change in another quantity. The rate of change from the coordinates of y to the coordinates of x can be found as Δy/ Δx.
What is the function?The function is defined as a mathematical expression that defines a relationship between one variable and another variable.
Given the table represents an exponential function.
For instance, if 0.125 is divided by 0.25, the result will be 0.5.
Also, if 0.625 is divided by 0.125, the result will be 0.5.
Hence, the multiplicative rate of change of the function is 0.5.
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Consider the following game, where player 1 chooses a strategy U or M or D and player 2 chooses a strategy L or R. 1. Under what conditions on the parameters is U a strictly dominant strategy for player 1 ? 2. Under what conditions will R be a strictly dominant strategy for player 2 ? Under what conditions will L be a strictly dominant strategy for player 2 ? 3. Let a=2,b=3,c=4,x=5,y=5,z=2, and w=3. Does any player have a strictly dominant strategy? Does any player have a strictly dominated strategy? Solve the game by iterated deletion of strictly dominated strategies. A concept related to strictly dominant strategies is that of weakly dominant strategies. A strategy s weakly dominates another strategy t for player i if s gives a weakly higher payoff to i for every possible choice of player j, and in addition, s gives a strictly higher payoff than t for at least one choice of player j. So, one strategy weakly dominates another if it is always at least as good as the dominated strategy, and is sometimes strictly better. Note that there may be choices of j for which i is indifferent between s and t. Similarly to strict dominance, we say that a strategy is weakly dominated if we can find a strategy that weakly dominates it. A strategy is weakly dominant if it weakly dominates all other strategies. 4. In part (3), we solved the game by iterated deletion of strictly dominated strategies. A relevant question is: does the order in which we delete the strategies matter? For strictly dominated strategies, the answer is no. However, if we iteratively delete weakly dominated strategies, the answer may be yes, as the following example shows. In particular, there can be many "reasonable" predictions for outcomes of games according to iterative weak dominance. Let a=3,x=4,b=4,c=5,y=3,z=3,w= 3. (a) Show that M is a weakly dominated strategy for player 1. What strategy weakly dominates it? (b) After deleting M, we are left with a 2×2 game. Show that in this smaller game, strategy R is weakly dominated for player 2 , and delete it. Now, there are only 2 strategy profiles left. What do you predict as the outcome of the game (i.e., strategy profile played in the game)? (c) Return to the original game of part (4), but this time note first that U is a weakly dominated strategy for player 1 . What strategy weakly dominates it? (d) After deleting U, note that L is weakly dominated for player 2 , and so can be deleted. Now what is your predicted outcome for the game (i.e., strategy profile played in the game)?
The predicted outcome of the game, or the strategy profile played in the game, would then depend on the remaining strategies.
1. A strategy is considered strictly dominant for a player if it always leads to a higher payoff than any other strategy, regardless of the choices made by the other player. In this game, for player 1 to have a strictly dominant strategy, the payoff for strategy U must be strictly higher than the payoffs for strategies M and D, regardless of the choices made by player 2.
2. For player 2 to have a strictly dominant strategy, the payoff for strategy R must be strictly higher than the payoffs for strategies L and any other possible strategy that player 2 can choose.
3. To determine if any player has a strictly dominant strategy, we need to compare the payoffs for each strategy for both players. In this specific example, using the given values (a=2, b=3, c=4, x=5, y=5, z=2, and w=3),
4. The order in which strategies are deleted does matter when using iterative deletion of weakly dominated strategies. In the given example, when we delete the weakly dominated strategy M for player 1, we are left with a 2x2 game.
(c) In the original game of part (4), when we note that U is a weakly dominated strategy for player 1, we can look for a strategy that weakly dominates it. By comparing the payoffs, we can determine the weakly dominant strategy.
(d) After deleting U and noting that L is weakly dominated for player 2, we can delete it as well. The predicted outcome of the game, or the strategy profile played in the game, would then depend on the remaining strategies.
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Which of the following could be an example of a function with a domain
(-∞0,00) and a range (-∞,4)? Check all that apply.
A. V = -(0.25)* - 4
-
□ B. V = − (0.25)*+4
c. V = (3)* +4
□ D. V = − (3)* — 4
-
The correct options that could be an example of a function with a domain (-∞0,00) and a range (-∞,4) are given below.Option A. V = -(0.25)x - 4 Option B. V = − (0.25)x+4
A function can be defined as a special relation where each input has exactly one output. The set of values that a function takes as input is known as the domain of the function. The set of all output values that are obtained by evaluating a function is known as the range of the function.
From the given options, only option A and option B are the functions that satisfy the condition.Both of the options are linear equations and graph of linear equation is always a straight line. By solving both of the given options, we will get the range as (-∞, 4) and domain as (-∞, 0).Hence, the correct options that could be an example of a function with a domain (-∞0,00) and a range (-∞,4) are option A and option B.
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You are trying to decide if you want to buy a seasonal golf membership for $224. If you buy the membership, you can golf as many games as you want during the season and can rent golf clubs for free. Without the pass, it will cost you $24 per game plus an additional $4 to rent golf clubs each game. If you need to ren clubs, after how many games of golf will the cost of the membership be less than the cost of golfing without the membership?
Answer: 9 games of golf.
Step-by-step explanation:
Because its $4 for clubs and $24 per game (without the membership) it would be $28 per time. If you keep multiplying 28 times a number until its greater than 224, you would get 9.
m+n p+q What is the value of the expression when m = 4, n = -9, p = -2, and q = 12? HURRY ITS URGENT IM MAP TESTING
Answer:
5
Step-by-step explanation:
Plug in the numeric values
4 for m, -9 for n, -2 for p, and 12 for q.
add them together.
4 + -9 = -5
-5 + -2 = -7
-7 + 12 = 5
Your answer is 5
hope this helps
i need help
5times 10 +25-9+2times2
Answer:
put it on the calculator
Answer:
its 136
Step-by-step explanation:
what's the solution
Answer:
The center is -1,5 and the radius is 2
Step-by-step explanation:
Subtract 22 from both sides of the equation. x 2 + y 2 + 2 x − 10 y = − 22 Complete the square for x 2 + 2 x . ( x + 1 ) 2 − 1 Substitute ( x + 1 ) 2 − 1 for x 2 + 2 x in the equation x 2 + y 2 + 2 x − 10 y = − 22 . ( x + 1 ) 2 − 1 + y 2 − 10 y = − 22 Move − 1 to the right side of the equation by adding 1 to both sides. ( x + 1 ) 2 + y 2 − 10 y = − 22 + 1 Complete the square for y 2 − 10 y . ( y − 5 ) 2 − 25 Substitute ( y − 5 ) 2 − 25 for y 2 − 10 y in the equation x 2 + y 2 + 2 x − 10 y = − 22 . ( x + 1 ) 2 + ( y − 5 ) 2 − 25 = − 22 + 1 Move − 25 to the right side of the equation by adding 25 to both sides. ( x + 1 ) 2 + ( y − 5 ) 2 = − 22 + 1 + 25 Simplify − 22 + 1 + 25 . ( x + 1 ) 2 + ( y − 5 ) 2 = 4 This is the form of a circle. Use this form to determine the center and radius of the circle. ( x − h ) 2 + ( y − k ) 2 = r 2 Match the values in this circle to those of the standard form. The variable r represents the radius of the circle, h represents the x-offset from the origin, and k represents the y-offset from origin. r = 2 h = − 1 k = 5 The center of the circle is found at ( h , k ) . Center: ( − 1 , 5 ) These values represent the important values for graphing and analyzing a circle.
can somebody help me?
Answer:
I think it is 4/7 is red
Step-by-step explanation:
Two men shared the cost of a business in the ratio 2:3. if the smaller share is 75000, find the total cost of the business?
The total cost of business is 1,87,500
We are given the ratio of shares of two men. So, let the share of first person be 2x and share of second person be 3x.
It is also stated that smaller share is 75000. Out of the two shares, 2x is the smaller one. So, relating the two statements -
2x = 75000
x = 75000 ÷ 2
Performing division
x = 37500
So, finding the larger share now -
Larger share = 3x
Larger share = 3×37500
Performing multiplication
Larger share = 112500
Total cost of business = Smaller share + Larger share
Total cost of business = 75000 + 112500
Total cost of business = 1,87,500
Hence, the total cost of business is 1,87,500.
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Find the value of x and then the measure of the missing stared angle.
+2x+5
5x
Value of x =
Missing Angle =
Value of x = 25 , Missing Angle = 125
Let's assume that the angles are supplementary, meaning they add up to 180 degrees. In that case, we can set up the following equation:
(2x + 5) + 5x = 180
Now, let's solve for x:
Step 1: Combine like terms:
7x + 5 = 180
Step 2: Subtract 5 from both sides of the equation:
7x = 175
Step 3: Divide both sides by 7:
x = 25
Now that we have the value of x, we can find the measure of the missing stared angle. Since the angles are supplementary, the stared angle will be:
Missing Angle = 180 - (2x + 5)
Step 4: Plug in the value of x (25) and solve:
Missing Angle = 180 - (2 × 25 + 5)
Missing Angle = 180 - (50 + 5)
Missing Angle = 180 - 55
Missing Angle = 125
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verify [-30]+[13+[-3]=[-30]+[-3]
First, simplify the innermost brackets:
[-30] + [13 + [-3]] = [-30] + [13 - 3]
Next, perform the addition inside the brackets:
[-30] + [13 - 3] = [-30] + [10]
Now, simplify further by removing the brackets:
[-30] + [10] = -30 + 10
Finally, perform the addition:
-30 + 10 = -20
Therefore, the left-hand side (LHS) of the equation simplifies to -20.
Now, let's simplify the right-hand side (RHS) of the equation:
[-30] + [-3] = -30 + (-3)
Performing the addition:
-30 + (-3) = -33
Therefore, the right-hand side (RHS) of the equation simplifies to -33.
Since -20 is not equal to -33, we can conclude that the given equation is not true. Hence, the statement "[-30] + [13 + [-3]] = [-30] + [-3]" is false.