The volume of raspberries in Mateo's box is 384 cubic centimeters.
To calculate the volume of raspberries in Mateo's box, we need to use the formula for the volume of a rectangular prism, which is length x width x height. In this case, the length and width are both 8 centimeters, as the box has a square bottom. The height is 6 centimeters, as Mateo fills the box to that height with raspberries.
So, the volume of raspberries in Mateo's box is:
Volume = length x width x height
Volume = 8 cm x 8 cm x 6 cm
Volume = 384 cubic centimeters
Therefore, the volume of raspberries in Mateo's box is 384 cubic centimeters. This calculation assumes that the raspberries are tightly packed in the box, without any gaps or air pockets. In reality, the actual volume of raspberries may be slightly less than this, depending on how they are arranged in the box. Nonetheless, this calculation provides a reasonable estimate of the amount of raspberries that Mateo is able to pick and fit in the box.
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the mean of a normal probability distribution is 320; the standard deviation is 18. a. about 68% of the observations lie between what two values?
Approximately 68% of the observations fall between the values 302 and 338 where the mean of a normal probability distribution is 320; the standard deviation is 18.
For a standard probability distribution with mean μ and standard deviation σ, about 68% of the observations lie within one standard deviation of the mean, between μ - σ and μ + σ.
In this case, the mean is 320 and the standard deviation is 18. therefore,
μ - σ = 320 - 18 = 302
μ + σ = 320 + 18 = 338
Therefore, approximately 68% of the observations fall between the values 302 and 338.
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(-3.56(2.3)
what is the answer
Answer:
-8.18800
Step-by-step explanation:
-8.188
-3.56 times 2.3 = -8.188
Using the unit hydrograph developed in problem 2, determine the direct runoff from the 200 km2 watershed using the following rainfall excess pattern. 3 4 Four-hour period Rainfall excess (cm) 1 3.0 2 4.0 2.0 1.5
The direct runoff from the 200 km² watershed, based on the given rainfall excess pattern and the unit hydrograph, is 1.75 cm.
For the given rainfall excess pattern, we will convolve it with the unit hydrograph. Since the time base of the unit hydrograph is 6 hours, we need to divide the four-hour period into smaller time intervals of 6 hours. The direct runoff for each interval can be calculated as the sum of the product of the rainfall excess and the corresponding portion of the unit hydrograph.
Let's perform the calculations:
Interval 1 (0-4 hours):
Direct runoff = 3.0 cm * (1/6) = 0.5 cm
Interval 2 (4-10 hours):
Direct runoff = 4.0 cm * (1/6) = 0.67 cm
Interval 3 (10-16 hours):
Direct runoff = 2.0 cm * (1/6) = 0.33 cm
Interval 4 (16-22 hours):
Direct runoff = 1.5 cm * (1/6) = 0.25 cm
To determine the total direct runoff from the entire watershed, we sum up the direct runoff values from each interval.
Total direct runoff = Direct runoff from interval 1 + Direct runoff from interval 2 + Direct runoff from interval 3 + Direct runoff from interval 4
Total direct runoff = 0.5 cm + 0.67 cm + 0.33 cm + 0.25 cm = 1.75 cm
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Three friends go to a store to rent games and movies. Calvin rents 3 movies and 2 video games and spends a total of $25. Samantha rents 2 movies and 1 video game and spends a total of $14.75.
If the rental fee for each game is the same and the rental fee for each movie is the same, determine how much their friend, Keith, will spend at the rental store to rent 1 movie and 2 video games. Explain your answer.
The Keith will spend $16 to rent 1 movie and 2 video games from the store.
How to solve the equation of two variable?Let's assume the rental fee for each movie is "m" and the rental fee for each game is "g".
From the given information, we can form the following system of equations:
3m + 2g = 25 (Calvin's rental)
2m + g = 14.75 (Samantha's rental)
We can solve for "m" and "g" by using elimination or substitution method. Here, we will use substitution method.
From the second equation, we can solve for "g" in terms of "m":
g = 14.75 - 2m
Substituting this into the first equation, we get:
3m + 2(14.75 - 2m) = 25
Simplifying this, we get:
3m + 29.5 - 4m = 25
-m + 29.5 = 25
-m = -4.5
m = 4.5
Now that we know the rental fee for each movie is $4.50, we can find the rental fee for each game by substituting "m" into either of the original equations:
2(4.5) + g = 14.75
g = 14.75 - 9 = 5.75
So the rental fee for each game is $5.75.
To find how much Keith will spend to rent 1 movie and 2 video games, we can simply add up the rental fees:
1(4.5) + 2(5.75) = 16
Therefore, Keith will spend $16 to rent 1 movie and 2 video games from the store.
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is u in the plane in set of real numbers rℝcubed3 spanned by the columns of a? why or why not?
Let u [-16 18 10] and A [2 -3 1 -4 5 1] Is u in the plane in R3 spanned by the columns of A? Why or why not? 10 Select the correct choice below and fill in the answer box to complete your choice. (Type an integer or decimal for each matrix element.) O A. No, the reduced row echelon form of the augmented matrix is which is an inconsistent system. O B. Yes, multiplying A by the vectorwrites u as a linear combination of the columns of A.
u in the plane in set of real numbers rℝcubed3 spanned by the columns, then the one solution matrix is, \(\left[\begin{array}{ccc}x_{1} &\\x_{2} &\\\end{array}\right]\) = \(\left[\begin{array}{ccc}2&\\6.66&\\\end{array}\right]\)
Given data,
Let u [-16 18 10] and A [2 -3 1 -4 5 1]
u in the plane in set of real numbers rℝcubed3 spanned by the columns of A,
So,
We can write,
u = \(\left[\begin{array}{ccc}-16&\\18&\\10&\end{array}\right]\) and A = \(\left[\begin{array}{ccc}2&-3\\1&-4\\5&1\end{array}\right]\)
Then,
AX = b
w = \(\left[\begin{array}{ccc}2&-3&-16\\1&-4&18\\5&1&10\end{array}\right]\)
A = \(\left[\begin{array}{ccc}2&-3\\1&-4\\5&1\end{array}\right]\)
null A = \(\left[\begin{array}{ccc}x_{1} &\\x_{2} &\\\end{array}\right]\)
\(\left[\begin{array}{ccc}2&-3\\1&-4\\5&1\end{array}\right]\) \(\left[\begin{array}{ccc}x_{1} &\\x_{2} &\\\end{array}\right]\)= \(\left[\begin{array}{ccc}0&\\0&\\0&\end{array}\right]\)
2\(x_{1}\) - 3\(x_{2}\) = 0
\(x_{1}\) - 4\(x_{2}\) = 0
5\(x_{1}\) + 1\(x_{2}\) = 0
We can solve the equations,
2\(x_{1}\) - 3\(x_{2}\) = 0
\(x_{1}\) - 4\(x_{2}\) = 0
-----------------------
\(x_{1}\) - 7\(x_{2}\) = 0
\(x_{1}\) = 7\(x_{2}\)
We can substitute \(x_{1}\) values,
2\(x_{1}\) - 3\(x_{2}\) = 0
2*7\(x_{2}\) - 3\(x_{2}\) = 0
\(14x_{2}\) - 3\(x_{2}\) = 0
11\(x_{2}\) = 0
\(x_{2}\) = 0
\(\left[\begin{array}{ccc}2&-3\\1&-4\\5&1\end{array}\right]\) \(\left[\begin{array}{ccc}x_{1} &\\x_{2} &\\\end{array}\right]\)= = \(\left[\begin{array}{ccc}-16&\\18&\\10&\end{array}\right]\)
2\(x_{1}\) - 3\(x_{2}\) = -16
\(x_{1}\) - 4\(x_{2}\) = 18
5\(x_{1}\) + 1\(x_{2}\) = 10
We can solve the matrix equations,
2\(x_{1}\) - 3\(x_{2}\) = -16
\(x_{1}\) - 4\(x_{2}\) = 18
--------------------------
\(x_{1}\) - 7\(x_{2}\) = 2
\(x_{1}\) = 2 + 7\(x_{2}\)
\(x_{1}\) = 2 + 7(0)
\(x_{1}\) = 2
2\(x_{1}\) - 3\(x_{2}\) = -16
2*2 - 3\(x_{2}\) = -16
4 - 3\(x_{2}\) = -16
- 3\(x_{2}\) = -16 - 4
- 3\(x_{2}\) = -20
3\(x_{2}\) = 20
\(x_{2}\) = 20/3
\(x_{2}\) = 6.66
Therefore,
u in the plane in set of real numbers rℝcubed3 spanned by the columns, then the one solution matrix is, \(\left[\begin{array}{ccc}x_{1} &\\x_{2} &\\\end{array}\right]\) = \(\left[\begin{array}{ccc}2&\\6.66&\\\end{array}\right]\)
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It's Max's birthday and his grandfather just signed over his Social Security check to him for $625.95. Max wants to buy as many new PS 4 Mine craft video games with the money as he can at $32.10 a piece to sell them on Betsy. If he wants to keep one, how many can he have left over?
The number of video games that Max will have left when he keeps one is 18 games.
How to illustrate the information?It should be noted that the total amount that he has is $625.95.
Cost of each video game = $32.10
Therefore, the number of games that he can buy will be:
= Amount / Cost of game
= $625.95 / $32.10
= 19.5
= He can buy 19 games.
Therefore, if he keeps one, the number left will be:
= 19 - 1 = 18
He I'll have 18 left.
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At age 45 when the deferred payments from his current contract ends, all-star shortstop Alex Rodriguez plans to have $230 million in savings from his baseball playing days. He wants two things from his savings: a 40-year ordinary annuity and $500 million at age 60 in order to purchase majority ownership in his native Miami's Florida Marlins. How large can his annual annuity payment be based on this information and assuming his savings can earn 8% annually after age 45 ? $6,069,727 $5,620,118 $6,906,832 $6,395,215
Therefore, the annual annuity payment can be approximately $6,069,727.
To calculate the size of the annual annuity payment, we can use the present value formula for an ordinary annuity. The formula is given by:
PMT = PV / [(1 - (1 + r)⁻ⁿ) / r]
Where:
PMT = Annual annuity payment
PV = Present value of the annuity
r = Annual interest rate
n = Number of periods
Given:
PV = $230 million
r = 8% = 0.08
n = 40 years
Using the formula, we can calculate the annual annuity payment:
PMT = 230,000,000 / [(1 - (1 + 0.08)⁻⁴⁰) / 0.08]
PMT ≈ $6,069,727
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pls help asap if you can!
The coordinates of B' are given as follows:
B'(12, -9).
What is a dilation?A dilation is defined as a non-rigid transformation that multiplies the distances between every point in a polygon or even a function graph, called the center of dilation, by a constant factor called the scale factor.
The coordinates of B are given as follows:
B(4, -3).
The scale factor is given as follows:
k = 3.
Hence the coordinates of B' are given as follows:
B'(12, -9).
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The coordinates of B' include the following: D. (12, -9).
What is a dilation?In Mathematics and Geometry, a dilation is a type of transformation which typically changes the dimensions (size) or side lengths of a geometric object, but not its shape.
This ultimately implies that, the dimensions (size) or side lengths of the dilated geometric object would increase or decrease depending on the scale factor applied.
In this scenario and exercise, we would have to dilate the coordinates of the pre-image (triangle ABC) by using a scale factor of 3 centered at the origin in order to determine B' as follows:
Coordinate B (4, -3) → (4 × 3, -3 × 3) = X' (12, -9).
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a paper company needs to ship paper to a large printing business. the paper will be shipped in small boxes and large boxes. the volume of each small box is 7 cubic feet and the volume of each large box is 14 cubic feet. a total of 21 boxes of paper were shipped with a combined volume of 252 cubic feet. write a system of equations that could be used to determine the number of small boxes shipped and the number of large boxes shipped. define the variables that you use to write the system.
The required system of equations is x+y = 21 and 7x +14y = 252.
Systems of equations are sets of equations where the solution is the intersecting point(s) between the equations.There are three methods typically used to solve systems of linear equations: graphing, the substitution method, and the elimination method. These methods can be applied to more complex systems of nonlinear equations as well.
Let the number of small boxes be x.
Let the number of large boxes be y.
The volume of each small box is 7 cubic feet.
The volume of each large box is 14 cubic feet.
The total number of boxes is 21.
Total volume of all boxes is 252 cubic feet.
So, x+y = 21.
This is the first equation.
Also, the total volume is equal to the sum of the volumes of all individual boxes.
So, 7x + 14y = 252
Thus, the required system of equations is x+y = 21 and 7x +14y = 252.
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The required system of equations is x + y = 21 and 7x + 14y = 252 using the concept of equations.
What are system of equations?A system of equations in algebra is made up of two or more equations that are solved together to obtain the solution for a two or more variable problem.
Volume of each small box is 7 cubic feet and volume of each large box is 14 cubic feet. Take the number of small boxes to be x and number of large boxes to be y.
Given total number of boxes shipped is 21. Therefore using the concept of equation,
x + y = 21 --- (1)
Total volume of small box is given by:
Total volume of small box = (Volume of a small box) * (Number of small box)
Total volume of small box = 7x
Similarly the total volume of large box is,
Total volume of small box = 14y
Given the total volume of carried box is 252 cubic feet. Using the concept of equations,
7x + 14y = 252 ---(2)
The equations (1) and (2) gives the required system of equations.
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Write equations for the vertical and horizontal lines passing through the point (−6, -2)
vertical line:
horizontal line:
Answer:
Vertical line: x = -6
Horizontal line y = -2
Step-by-step explanation:
A vertical line will have a constant x value for all values of y so it will be of the form x = k where k is a constant. Since it passes through (-6,-2), where the x value is -6, we get the equation x = -6
A horizontal line will have a constant y value for all values of x so it will be of the form y = k where k is a constant. Since it passes through (-6,-2), where the y value is -2, we get the equation y = -2
The attached graph shows the two lines and the point (-6, -2)
Tell whether the two quantities vary directly. Explain your reasoning.
the number of correct answers on a test and the score on the test
Choose the correct answer below.
OA. No, they do not vary directly. When one quantity increases, the other quantity does not increase.
OB. No, they do not vary directly. When one quantity increases, the other quantity also increases.
C. Yes, they vary directly. When one quantity increases, the other quantity also increases.
OD. Yes, they vary directly. When one quantity increases, the other quantity does not increase.
The correct statement regarding the variation of the two measures is given as follows:
C. Yes, they vary directly. When one quantity increases, the other quantity also increases.
What are positive and negative association?Two variables have a positive association when the values of one variable increase as the values of the other variable increase, that is, the quantities vary directly.Two variables have a negative association when the values of one variable decrease as the values of the other variable increase, that is, the quantities vary inversely.For this problem, we have that when the number of correct answers on the test increases, the score also does, hence the two quantities vary directly, and option c is the correct option for this problem.
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if the odds in favor of a horse winning a race is 4:7 , what is the probability of the horse winning the race?
The probability of the horse winning the race is 4/11 or approximately 0.36 or 36%.
The odds in favor of a horse winning a race is expressed as a ratio of the number of favorable outcomes to the number of unfavorable outcomes. In this case, the odds in favor of the horse winning the race is 4:7.
This means that for every 4 favorable outcomes, there are 7 unfavorable outcomes.
To determine the probability of the horse winning the race, we can use the formula:
Probability = favorable outcomes / total outcomes
In this case, the total number of outcomes is the sum of the favorable and unfavorable outcomes, which is 4 + 7 = 11.
Therefore, the probability of the horse winning the race is:
Probability = 4 / 11
This means that the horse has a probability of approximately 0.36 or 36% of winning the race.
In summary, the odds in favor of a horse winning a race of 4:7 means that there are 4 favorable outcomes for every 7 unfavorable outcomes.
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Answer and Explanation: The estimation of the risk level is very difficult as the probability of the deviation is more in such risks. A huge number of people are involved in this type of risk, which makes the estimation more difficult.
It's also crucial to communicate and involve stakeholders in the risk management process to ensure a comprehensive understanding of the potential risks and their potential impacts.
What is probability?Probability is a way to gauge how likely something is to happen. Many things are difficult to forecast with absolute confidence. Using it, we can only make predictions about the likelihood of an event happening, or how likely it is.
You are correct that estimating the risk level can be challenging in situations where the probability of deviation is high. When there are numerous people involved in a particular risk, such as in large-scale projects or complex systems, it can further complicate the estimation process.
Here are a few reasons why estimating risk in such scenarios can be difficult:
1. Uncertainty: High-risk situations often involve a degree of uncertainty. The future outcomes and potential deviations may not be fully known or predictable, making it challenging to quantify the risk accurately.
2. Complex Interdependencies: In situations involving a large number of people or complex systems, there are often intricate interdependencies at play. Changes or deviations in one area can have cascading effects, making it difficult to isolate and assess the specific risk factors involved.
3. Limited Data: Estimating risk relies on historical data, statistical analysis, and expert judgment. However, in novel or rapidly evolving situations, there may be limited historical data available to inform risk assessments. This lack of data can make it challenging to assess the likelihood and impact of potential deviations.
4. Human Factors: Human behavior and decision-making introduce additional uncertainties. In situations involving a large number of people, the actions and decisions of individuals can influence the overall risk profile. Predicting human behavior accurately can be challenging, especially in complex or high-stress environments.
Given these challenges, it is important to employ robust risk management strategies. This includes gathering as much relevant data as possible, engaging subject matter experts, conducting thorough analyses, and continuously monitoring and reassessing risks as the situation evolves. It's also crucial to communicate and involve stakeholders in the risk management process to ensure a comprehensive understanding of the potential risks and their potential impacts.
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PLS HELP
Write the equation of a function whose parent function, f(x) = x + 5, is shifted 3 units to the right.
answers:
g(x) = x + 3
g(x) = x + 8
g(x) = x - 8
g(x) = x + 2
so I have this problem in my workbook for math and it says to circle the whole numbers and explain my reasoning, here are the numbers : 9, 4/4, and 1.00000 which ones do I choose and what do I say
EXPLANATION.
The whole numbers are the same natural numbers that start from zero to infinity, they are positive and negative, for example in the number line we can see them from zero to positive infinity, and from zero to negative infinity.
Whole numbers express a complete unit, this means that they do not have an integer part and a decimal part.
Now according to what has already been mentioned, we can see in the exercise that the integers are 9 and 1.00000, which we must enclose in a circle.
Are the two lines in the picture parallel, perpendicular, skew or neither? Be sure to explain your reasoning
The lines given, based on the picture, can be said to be skew.
What are skew lines ?Skewed lines are two lines that are not parallel to one another, neither do they intersect. Only dimensions greater than two-dimensional space can have skew lines. They must be non-coplanar, which means that they must exist in various planes. Two lines in a two-dimensional space can either intersect or run parallel to one another. Skew lines can never exist in 2D space as a result.
Skew lines occur frequently in real-world circumstances. Let's say there is a line on the ceiling and a line on the wall. These lines can be skew lines because they lie in distinct planes if they are not parallel to one another and do not meet. These lines go on forever in both directions.
The picture shows lines on steps. These steps therefore exist on different planes but are not parallel. They must therefore be skew.
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find the area of the shapes shown in the diagrams below. The lengths are in centimeters.
Answer:
(a) 22cm^2
Step-by-step explanation:
(a) 6*3=18
2*2=4
4+18=22
SOLVE BOTH PROBLEMS PLEASE.
Solve for b: A=6b
Solve for b : A=1/2bh
Answer:
see explanation
Step-by-step explanation:
A = 6b ( divide both sides by 6 )
\(\frac{A}{6}\) = b
--------------------------------------
A = \(\frac{1}{2}\) bh ( multiply both sides by 2 to clear the fraction )
2A = bh ( divide both sides by h )
\(\frac{2A}{h}\) = b
I need help with this one please and can yall explain this because I try to do but I can't just figure it out
Answer:
9
Step-by-step explanation:
because the FIM and LAK are similar, then
FI/LA=IM/AK=MF/KL
MF/KL=2/3
What is the area of a right triangle 2 centimeters
high with a base of 4 centimeters?
ASAP NO EXPLAINING MARKING BRAINLIEST OMG PLSSSS
Answer:
4cm²
Step-by-step explanation:
Find the circumference of a circle with radius of 4.2in.
Answer: 26.39
Step-by-step explanation:
2xπxr
What related multiplication problem can help you find the quotient?
-6 divided 3
What is the solution to the inequality X - 5 > 15
Answer:
x>20
Step-by-step explanation:
subtract 5 from both sides
Evaluate the integral of 4 raised to the power of 3 times x, dx
We have to evaluate the integral:
\(\int4^{3x}dx\)We start with a substitution:
\(\begin{gathered} u=3x \\ \frac{du}{dx}=3\Rightarrow dx=\frac{du}{3} \end{gathered}\)Then, we can now apply the substitution and then the rule for exponential functions:
\(\int4^{3x}dx=\int4^u\frac{du}{3}=\frac{1}{3}\int4^udu\)\(\frac{1}{3}\int4^udu=\frac{1}{3}\cdot\frac{4^u}{\ln(4)}+C\)We can replace back with x and write:
\(\frac{4^u}{3\ln(4)}=\frac{4^{3x}}{3\ln(4)}\)Then, the solution to the integral is:
\(\int4^{3x}dx=\frac{4^{3x}}{3\ln(4)}+C\)This result does not match any of the options.
Answer: none of these.
help please, I don't know it please
Answer:
second payment from the left
Step-by-step explanation:
A car loan should decrease as time passes when you make regular payments
This should be the second payment from the left
1 ptSome plants rely on hummingbirds for pollination. If a deadly disease infected the hummingbird population, what would MOST likely happen to the plants? They would die within hours.They would become endangered.They would need to migrate.They would grow at a slower rate.
If a deadly disease infected the hummingbird population, what would most likely happen to the plants option (b) They would become endangered
If a deadly disease infected the hummingbird population, it would most likely lead to a decrease in the pollination of plants that rely on hummingbirds for pollination. Without the hummingbirds to transfer pollen between flowers, these plants would have a reduced rate of successful pollination, which would result in a decrease in their ability to reproduce.
However, it is unlikely that the plants would die within hours or become endangered immediately, nor would they need to migrate. The effect of the loss of hummingbird pollinators on the plants would depend on the specific plant species, their pollination requirements, and the availability of alternative pollinators. Some plants may be more adaptable to using alternative pollinators, while others may suffer more severe consequences. It is also possible that the loss of hummingbirds could lead to a decline in the populations of other animals that depend on the plants, creating a ripple effect in the ecosystem.
Therefore, the correct option is (d) They would become endangered
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AABC ~ AQRS
Find the missing side length, n.
R
B
3
A
7
C
6
n
The length of QS is 14
Given,
AABC ~ AQRS
Length of AB = 3
Length of AC = 7
Length of QR = 6
We have to find the length of QS;
Similar triangles;
The two triangles are similar if all three sides of one triangle are in proportion to the three sides of another triangle. This means that if AB/XY = BC/YZ = AC/XZ, then ABC XYZ.
The three triangle similarity theorems, Side - Angle - Side (SAS), Angle - Angle - Side (AA), and Side - Side - Side (SSS), can also be used to compare two triangles.
Here,
AB ~ QR
2 x 3 = 6
Then,
AC ~ QS
2 x 7 = 14
That is,
The length of QS is 14
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Un oiseau se nourrit de poissons en plon-
geant dans l'eau depuis une falaise. Soit
h(r) la hauteur de l'oiseau au dessus du
niveau de l'eau en fonction de la distance x,
à l'horizontale, le séparant de la rive.
L'oiseau décrit une parabole et on trouve :
h(x) = r²-6r+5 pour r appartenant à [0; 6].
Answer:
Bonjour
h(x) = x² - 6x + 5 définie sur [0 ; 5 ]
1)
L' oiseau a commencé son vol à
h(0) =(0)² - 6(0) + 5 = 5 donc 5 mètres
3)
h(x) atteint son maximum pour x = -b/2a = 6 / 2 = 3
h(3) = 9 - 18 + 5 = -4 mètres
4)
(x-1)(x-5) = x² - 5x - x + 5 = h(x) ce qu'il fallait démontrer
5)
h(x) = 0 revient à
(x-1)(x-5) = 0 pour x = 1 et pour x = 5
L' oiseau est entré dans l'eau à 1 mètre et en est ressorti à 5 mètres
Bonne fin de journée
One endpoint on GH is G(–7, 24). The midpoint is M(3, 4). Find the coordinates of the endpoint H. ( , )
Please help find endpoint H
Answer:
H (13, -16)
Step-by-step explanation:
\(\boxed{\begin{minipage}{7.4 cm}\underline{Midpoint between two points}\\\\Midpoint $=\left(\dfrac{x_2+x_1}{2},\dfrac{y_2+y_1}{2}\right)$\\\\\\where $(x_1,y_1)$ and $(x_2,y_2)$ are the endpoints.\\\end{minipage}}\)
Given:
Endpoint (x₁, y₁) = G (-7, 24)Endpoint (x₂, y₂) = H Midpoint = M (3, 4)Substitute the given endpoint G and midpoint M into the midpoint formula:
\(\implies M=\left(\dfrac{x_H+x_G}{2},\dfrac{y_H+y_G}{2}\right)\)
\(\implies (3, 4)=\left(\dfrac{x_H-7}{2},\dfrac{y_H+24}{2}\right)\)
x-value of endpoint H:
\(\implies 3=\dfrac{x_H-7}{2}\)
\(\implies 6=x_H-7\)
\(\implies x_H=13\)
y-value of endpoint H:
\(\implies 4=\dfrac{y_H+24}{2}\)
\(\implies8=y_H+24\)
\(\implies y_H=-16\)
Therefore, the coordinates of endpoint H are:
(13, -16)Answer: 13 -16
Step-by-step explanation: Edge 2023
These are separate questions: Subtract.
4 3/4−(−1 1/12)
Enter your answer as a simplified mixed number by filling in the boxes. Subtract.
4 3/4−(−1 1/12)
Enter your answer as a simplified mixed number by filling in the boxes. Subtract.
434−(−1112)
Enter your answer as a simplified mixed number by filling in the boxes. Subtract.
−9 1/3−(−1 1/3)
Enter your answer, as a simplified fraction, in the box.
Subtract.
3 1/3−5
Enter your answer as a simplified mixed number by filling in the boxes.
Q1) 4 3/4−(−1 1/12)= 5 2/3
Q2) 4 3/4−(−1 1/12)= 5 2/3
Q3) 434−(−1112)= 1546
Q4) −9 1/3−(−1 1/3)= -5 2/3
Q5) 3 1/3−5= -1 2/3
hope this helped- have a good day bro cya)