A skateboarder leaves a 12-foot tall ramp with an initial vertical velocity of 8 feet per sen
function f(h) = -8t² +8t + 12 represents the height, h, in feet of the skateboarder after t seconds.
How many seconds was the skateboarder airbound
Answers
To answer this, we substitute 12 ft to the f(h) in the given equation,
f(h) = -8t² + 8t + 12 = 12
Subtracting 12 from both sides of the equation will give us an answer of,
-8t² + 8t = 0
Then, we transpose 8 to the other side and divide the equation by -8 and t, we get an answer of t = 1 second.
Answer:
Below in bold.
Step-by-step explanation:
When he lands h = 0 so
-8t^2 + 8t + 12 = 0
Solving for t
t = [-8 +/- sqrt(8^2 - 3*-6*12)] / -16
t = 1.82 seconds.
Related Questions
Write 8.87 as a mixed number and as an improper fraction.
Do not try to simplify your answers.
Answers
Answer:
8 87/100 = 887/100
Step-by-step explanation:
"Eight and eighty-seven hundredths" is ...
8 87/100 = 887/100
Answer:
Step-by-step explanation:
Convert to a fraction by placing the decimal number over a power of
10
.
887
100
Solve the inequality. Graph the solution.
-11>m+4 or 2m≥-16
Answers
Answer: Exact Form:
m
=
31
12
Decimal Form:
m
=
2.58
¯
3
Mixed Number Form:
m
=
2
7
12
Step-by-step explanation:
PLEASE HURRY IM TIMED Andy drove 102 miles on Monday morning. This was
of the total number of miles he drove on Monday.
Solve the equation m = 102 to find the total number of miles Andy drove on Monday.
Andy drove
miles on Monday.
Answers
Answer:
420
Step-by-step explanation:
The value of a car decreases by about 15% in the first year. How much will a car be worth it its initial value was $1,000?
Answers
Answer:
The Answer is 850$
solve the following differential equation using laplace transforms. assume zero initial conditions. () 2 () 4 ()
Answers
The solution to the differential equation y'' + 4y' + 2y = 4 with zero initial conditions is y(t) = 2e^-2t.
CORRECTION: Given the differential equation: y'' + 4y' + 2y = 4
To solve this differential equation using Laplace transforms, we first need to take the Laplace transform of both sides. The Laplace transform of the derivative of y is given by:
L{y'} = sY(s) - y(0) = sY(s) (assuming zero initial conditions)
L{y''} = s^2Y(s) - sy(0) - y'(0) = s^2Y(s) (assuming zero initial conditions)
Now, substituting these Laplace transforms in the given differential equation, we have:
s^2Y(s) + 4sY(s) + 2Y(s) = 4/s
Solving for Y(s), we get:
Y(s) = (4/s) / (s^2 + 4s + 2) = 2 / (s + 2)^2
Finally, taking the inverse Laplace transform of Y(s), we get:
y(t) = L^-1{Y(s)} = 2e^-2t
Therefore, the solution to the differential equation y'' + 4y' + 2y = 4 with zero initial conditions is y(t) = 2e^-2t.
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If b = 7, then the value of c is...
Answers
7\(\sqrt{2}\)
Step-by-step explanation:The triangle shown is a 45-45-90 triangle. This name comes from the fact the 3 angle measurements are 45, 45, and 90 degrees.
If needed, you could find the missing angle using the equation: 180 - (45 + 90) = x.
Special Right Triangles
Special right triangles allow us to use formulas and shortcuts to find missing sides easily. Another type of special right triangle is the 30-60-90 triangle. While both of these are special right triangles, they have different formulas.
Formulas
All 45-45-90 triangles have 2 types of sides: the legs (a and b) and the hypotenuse (c).
c = b\(\sqrt{2}\)b = a a = bIn these triangles, both of the legs are congruent.
Solving for c
Since we are given b, we can just plug the b-value into the formula that solves for c.
c = 7\(\sqrt{2}\)The answer cannot be simplified further, so this is the final answer.
Answer:
Second option
Step-by-step explanation:
It is a right triangle isosceles
a = b = 7
c = hypotenuse
\(c =\sqrt{7^{2}+7^{2} } =\sqrt{49+49} =\sqrt{2(49)}=7\sqrt{2}\)
Hope this helps
what is equivalent to 4 - z - z - z - z
Answers
Answer: 4-4z
Step-by-step explanation: Coming the like terms in order to simplify the equation. There are four z's and they combine as they are like terms. Since we don't know the value of z, thats the most simplified form.
13. For a given set of data, what does the standard deviation measure?
The difference between the mean and the data point farthest from the mean
The difference between the mean and the data point nearest to the mean
The difference between the mean and the median
None of the above
Source
Answers
The standard deviation measures the spread of data points around the mean. It considers all data points, not just the farthest or nearest ones. A higher standard deviation indicates a greater spread.
The standard deviation is a statistical measure that tells us how much the data points in a set vary from the mean. It provides information about the spread or dispersion of the data. To calculate the standard deviation, we take the square root of the variance, which is the average of the squared differences between each data point and the mean.
By considering all data points, the standard deviation provides a comprehensive measure of how spread out the data is. Therefore, the statement "The difference between the mean and the data point farthest from the mean" is incorrect, as the standard deviation does not focus on just one data point.
The statement "The difference between the mean and the data point nearest to the mean" is also incorrect because the standard deviation takes into account the entire data set. The statement "The difference between the mean and the median" is incorrect as well, as the standard deviation is not specifically related to the median.
Hence, the correct answer is "None of the above."
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X + 5.8= 125.2 help me please somebody
Answers
Answer:
119.4
Step-by-step explanation:
Answer:
x= 119.4
Step-by-step explanation:
Let's solve your equation step-by-step.
x + 5.8= 125.2
Step 1: Subtract 5.8 from both sides.
x + 5.8 − 5.8 = 125.2 − 5.8
x = 119.4
For a project in his Geometry class, Yusuf uses a mirror on the ground to measure the
height of his school building. He walks a distance of 10.25 meters from the building,
then places a mirror flat on the ground, marked with an X at the center. He then
walks 1.65 more meters past the mirror, so that when he turns around and looks
down at the mirror, he can see the top of the school clearly marked in the X. His
partner measures the distance from his eyes to the ground to be 1.55 meters. How tall
is the school? Round your answer to the nearest hundredth of a meter.
Answers
Answer:
x = 9.629 meters
Step-by-step explanation:
x / 10.25 = 1.55 / 1.65
x = 1.55 / 1.65 * 10.25
x = 9.629 meters
We are interested in the activity diagram. Check all the correct
answers.
Please select at least one answer.
O a. There can be multiple end points, but only one starting
point.
O b. Any joint must hav
Answers
The correct statements regarding activity diagrams are:
a. There can be multiple end points, but only one starting point.
c. A branch can have multiple incoming arrows.
d. A decision point may have more than 2 outgoing arrows.
e. An indeterminacy is created when the successors of an activity have non-mutually exclusive conditions.
f. An activity can be nested within another activity.
Activity diagrams are graphical representations used in software engineering to depict the flow of activities or actions within a system. The correct statements regarding activity diagrams are as follows:
a. There can be multiple end points, but only one starting point:
Activity diagrams typically illustrate the flow of activities from a single starting point to multiple end points. This allows for depicting different termination points in the system's behavior.
c. A branch can have multiple incoming arrows:
A branch in an activity diagram represents a decision point where the flow of activities can diverge. It is possible for multiple incoming arrows to converge at a branch, indicating different paths leading to the decision point.
d. A decision point may have more than 2 outgoing arrows:
A decision point in an activity diagram represents a condition or a decision that determines the subsequent flow of activities. It is possible for a decision point to have more than two outgoing arrows, indicating different paths based on the decision outcome.
e. An indeterminacy is created when the successors of an activity have non-mutually exclusive conditions:
In an activity diagram, if the subsequent activities following a certain action have conditions that are not mutually exclusive, it creates an indeterminacy. This means that multiple paths may be followed simultaneously based on the different conditions.
f. An activity can be nested within another activity:
Activity diagrams support the nesting of activities within each other. This allows for representing complex activities or sub-processes within a larger activity, providing a hierarchical structure to the diagram.
In conclusion, the correct statements regarding activity diagrams include multiple end points and a single starting point, the possibility of multiple incoming arrows at a branch, the presence of more than two outgoing arrows at a decision point, the creation of indeterminacy with non-mutually exclusive conditions, and the ability to nest activities within one another.
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We are interested in the activity diagram. Check all the correct answers.
Please select at least one answer.
O a. There can be multiple end points, but only one starting point.
O b. Any joint must have been preceded by a branch.
O c. A branch can have multiple incoming arrows.
O d. A decision point may have more than 2 outgoing arrows.
Oe. An indeterminacy is created when the successors of an activity have non-mutually exclusive conditions.
Of. An activity can be nested within another activity.
Help ASAP pls giving brainliest
Answers
Q1: 12.5
Q3: 16
IQR ( Q3-Q1) : 3.5
Suppose [a, b] denotes the average of a and b, and {a, b, c} denotes the average of a, b, and c. What is {{1, 1, 0} [0, 1] 0}
Answers
For the notation of average the expression {{1, 1, 0} [0, 1] 0} is evaluates to 0.3889 approximately.
To evaluate the expression {{1, 1, 0} [0, 1] 0}, we need to follow the notation,
[a, b] denotes the average of a and b.
{a, b, c} denotes the average of a, b, and c.
Let's break down the expression step by step
[0, 1]
= (0 + 1) / 2
= 1/2
= 0.5
Now we have {{1, 1, 0} 0.5 0}. We can evaluate the inner expression first.
{1, 1, 0}
= (1 + 1 + 0) / 3
= 2/3
≈ 0.6667
Now we have {0.6667 0.5 0}. We can apply the same notation to find the average,
{0.6667, 0.5, 0}
= (0.6667 + 0.5 + 0) / 3
= 1.1667 / 3
≈ 0.3889
Therefore, the expression {{1, 1, 0} [0, 1] 0} for the notation of average evaluates to approximately 0.3889.
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Find the slope of the question y=5
Answers
Answer:
0,5
Step-by-step explanation:
slope: 0
y-intercept:(0,5)
Solve the inequality. 3x + 5 < 6x - 1
Answers
Answer:
x>2
Step-by-step explanation:
Answer:
5+1<6x-3x
6<3x
3. 3
x= 2
How do i answer this??
Answers
Answer:
y=29
Step-by-step explanation:
if x=5. 5x5+4. 5x5=25. 25+4=29
Answer:
y = 29
Step-by-step explanation:
Given the quadratic equation, y = x² + 4:
In order to find the value of y if x = 5, simply substitute the value of x into the given equation.
y = x² + 4
y = (5)² + 4
Since 5² is the same as 5 × 5 = 25, then:
y = 25 + 4
y = 29
Therefore, when x = 5, the value of y = 29.
for the linear equation y = 2x 4, if x increases by 1 point, how much will y increase? (hint: think about the definition of the slope) group of answer choices 2 points 3 points 1 points 4 points
Answers
For the linear equation y = 2x 4, if x increases by 1 pointThe value of y will increase by 2 points(A).
The equation y = 2x + 4 represents a linear relationship, where the coefficient of x, which is 2, represents the slope of the line. The slope indicates how much y changes when x increases by 1. In this case, the slope is 2, meaning that for every increase of 1 in x, y will increase by 2.
Therefore, For the linear equation y = 2x 4, if x increases by 1 point,the value of y will increase by 2 points(A). This means that correct option is A.
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Regenerate response
Please help quick! 100 points
Compare the data and use the correct measure of variability to determine which bus is the most consistent. Explain your answer.
Bus 18, with an IQR of 16
Bus 47, with an IQR of 24
Bus 18, with a range of 16
Bus 47, with a range of 24
Answers
Answer:
Bus 18 is more consistent than Bus 47 based on the IQR, which is smaller for Bus 18 (16) compared to Bus 47 (24), indicating less spread of data between the 25th and 75th percentiles.
Step-by-step explanation:
Answer: The correct option regarding which bus has the least spread among the travel times is given as follows:
Bus 14, with an IQR of 6.
How to obtain the measures of spread?
First, we consider the dot plot, which shows the number of times that each observation appears in the data set.
Then we consider the interquartile range, which gives the difference between the third quartile and the first quartile of the data set.
The interquartile range is a better measure of spread compared to the range of a data set, as it does not consider outliers.
For groups of 15 students, we have that:
The first half is composed of the first seven students, hence the first quartile is the fourth dot, which is the median of the first half.
The second half is composed of the last seven students, hence the first quartile is the eleventh dot, which is the median of the first half.
The quartiles for Bus 14 are given as follows:
Q1 = 12.
Q3 = 18.
Hence the IQR is of:
IQR = Q3 - Q1 = 18 - 12 = 6.
The quartiles for Bus 18 are given as follows:
Q1 = 9.
Q3 = 16.
Hence the IQR is of:
IQR = Q3 - Q1 = 16 - 9 = 7.
Step-by-step explanation:
2 3
Consider the function represented by 9x+3y=12 with x as the independent variable. How can this function be written
using function notation?
=+
Of(x)=-3x+4
Of(x) = -x +
Of(v) = -3y+4
Answers
the correct answer is "f(x) = -3x + 4", as this notation clearly indicates that y is a function of x, and the value of y can be determined by substituting the value of x into the equation.
How to solve the equation?
The given equation, 9x+3y=12, can be rearranged to isolate y in terms of x as follows:
9x + 3y = 12
3y = -9x + 12
y = (-9/3)x + 4
Simplifying further, we get:
y = -3x + 4
Now, we can express this equation in function notation as:
f(x) = -3x + 4
Here, f(x) represents the dependent variable, which is the value of y for a given value of x. The function notation f(x) indicates that the value of the function depends on the value of x. The equation f(x) = -3x + 4 defines the function in terms of x, where for every value of x, the function returns the corresponding value of y.
Therefore, the correct answer is "f(x)= -3x + 4", as this notation clearly indicates that y is a function of x, and the value of y can be determined by substituting the value of x into the equation.
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PLEASE HELP!!! BRAINLiest TO CORRECT ANSWER!!!
Are the two triangles similar? If so, state the reason and the similarity statement.
A)
The triangles are not similar.
B)
Yes; AA; ΔLFT ∼ ΔORT
C)
Yes; SSS; ΔLFT ∼ ΔORT
D)
Impossible to determine.
Answers
Answer:
The answer is C
Step-by-step explanation:
Based on the values given in the table, which triangle is a right triangle?
a.E
b.g
с.D
D.F
Answers
Answer: triangle F
Step-by-step explanation:
How do you solve this problem?
Answers
9514 1404 393
Answer:
-19.2
Step-by-step explanation:
Fill in the given values and do the arithmetic.
\(\displaystyle x\ \blacksquare\ y=\frac{x}{y}-xy\\\\4\ \blacksquare\ 5=\frac{4}{5}-4\cdot5=0.8-20\\\\\boxed{4\ \blacksquare\ 5=-19.2}\)
What is the estimated standard error for a sample of n = 9 scores with ss = 288?
Answers
The estimated standard error for a sample of n = 9 scores with ss = 288 is 2. Among your choices, it should be B; s2 = 36 and sM = 2.
Hope that helps!
Heyyyy....please a little help✨
Answers
\(\boxed{2}\\\\ \sqrt{12}\times3\sqrt{60}\times\sqrt{45}\implies 3\sqrt{12\times 60\times 45}\implies 3\sqrt{32400} \\\\\\ 3\sqrt{180^2}\implies 3\cdot 180\implies 540 \\\\[-0.35em] ~\dotfill\\\\ \boxed{4}\\\\ (3\sqrt{7}-7\sqrt{3})(3\sqrt{7}+\sqrt{3}) \\\\\\ (3\sqrt{7})(3\sqrt{7})+(3\sqrt{7})(\sqrt{3})+(-7\sqrt{3})(3\sqrt{7})+(-7\sqrt{3})(\sqrt{3}) \\\\\\ 9\sqrt{7^2}+3\sqrt{21}-21\sqrt{21}-7\sqrt{3^2}\implies 63-18\sqrt{21}-21\implies 42-18\sqrt{21} \\\\[-0.35em] ~\dotfill\)
\(\boxed{6}\\\\ (7\sqrt{3}+\sqrt{5})(7\sqrt{13}+\sqrt{5}) \\\\\\ (7\sqrt{3})(7\sqrt{3})+(7\sqrt{3})(\sqrt{5})+(\sqrt{5})(7\sqrt{13})+(\sqrt{5})(\sqrt{5}) \\\\\\ 49\sqrt{3^2}+7\sqrt{15}+7\sqrt{65}+\sqrt{5^2} \\\\\\ 147+7\sqrt{15}+7\sqrt{65}+5\implies 152+7\sqrt{15}+7\sqrt{65}\)
please help thnx...
hi
Answers
Answer:
-17/5
Step-by-step explanation:
Multiply ten to everything to get
6x-1= x+2-20
Simplify to 5x= -17
Solve to get x = -17/5
Josh practices free throws during basketball practice on Monday and Tuesday. On Monday, he attempts 15 free throws and 6 basketballs went in the basket. Over both days, Josh wants at least 80% of his balls to go in the basket. If he makes every free throw on Tuesday, what is the minimum number of free throws required on Tuesday to reach his goal?
Answers
Answer:
he has to make 12 shots
Step-by-step explanation:
Josh will have to make a minimum of 12 shots to the basket to reach his goal on Tuesday. Basically, 12 shots are 80% of 15 shots he decides to take every Monday and Tuesday.
Baskets are said to be done when the basketball ends up passing through the basket in the opponent's side of the basketball field. However, Josh is practicing his free throws here.Josh has set a goal to himself that at least 80% of his shots should be basket. Considering that he takes 15 throws on Monday the calculation of baskets will be done as below.\(\rm Josh's goal= \dfrac{80}{100} x 15\)
So the Josh's required free throws on Tuesday will be,\(\rm Josh's\ goal = 12\)
It can be concluded that Josh will have to make at least 12 of his 15 free throws into the basket on Tuesday to achieve his set goal of 80%.Hence, Josh will have to make 12 free throws into the basket on Tuesday to be able to score at least 80% of his free throws as baskets.
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Which city has the biggest difference between the maximum and minimum temperatures Glassglow,Cardiff,Exeter
Answers
The city that has the biggest difference between the maximum and minimum temperatures is Glasgow.
Which city has the biggest difference?In order to determine which city has the biggest difference, subtract the difference between the minimum temperature from the maximum temperature.
Range = maximum temperature - minimum temperature
Range of Glasgow = 2 - (-8)
2 + 8 = 10
Range of Cardiff = 6 - (-1)
6 + 1 = 7
Range of Exeter = 8 - 0 = 8
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An investment adviser has determined that ABCD stock would be an appropriate investment for his client, but only if the price falls from the current level of $50 per share to $35 per share. What MUST the adviser do prior to placing an order to buy ABCD stock for the client's account
Answers
Prior to placing an order to buy ABCD stock at a lower price, the investment adviser must conduct thorough research and analysis, set a target price, and determine an appropriate entry point for the purchase.
The investment adviser's primary responsibility is to act in the best interest of their client and make informed investment decisions. In this case, where the adviser believes ABCD stock is appropriate only if the price falls to $35 per share, several steps need to be taken before placing an order.
Firstly, the adviser should conduct comprehensive research on ABCD stock to understand its historical performance, financial health, industry trends, and any relevant news or events that might impact its future prospects. This research will help validate the adviser's belief that the stock is worth considering at a lower price.
Secondly, the adviser should establish a target price of $35 per share based on their analysis and the client's investment objectives. This target price serves as a reference point and provides a clear criterion for initiating the purchase.
Lastly, the adviser needs to identify an appropriate entry point for the purchase. This involves monitoring the stock's price movements and market conditions closely. The adviser may choose to set a limit order at $35 per share or implement a strategy to take advantage of potential price declines, such as dollar-cost averaging.
By following these steps, the investment adviser ensures that they have thoroughly evaluated the investment opportunity and have a plan in place before placing an order to buy ABCD stock for the client's account.
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t/8= -12 Solve For T
Answers
Answer: T = -96
Step-by-step explanation: -96/8 = -12
a tent has the shape pictured below, where the cross sections are triangles. (the height of each triangle is equal to the base for that triangle.) what is the interior volume of the tent? (all distances are in feet.)
Answers
The interior volume of the tent where the cross sections are triangles is given is 120ft³.
There are two cross sectional triangles
The one smaller triangle with the height and base of 2ft
The other bigger triangle has a base and height of 4 ft
And the total length of the Tent is given as 6 ft.
Therefore,
Area of smaller triangle = 2 x 2 = 4m²
Area of bigger triangle = 4 x 4 = 16 ft²
So the Volume of the tent is given by ,
Total length x (Area of smaller triangle + Area of bigger triangle)
= 6 x ( 4 + 16 )
=6 x ( 20 )
= 120 ft ³
A measurement of three-dimensional space is volume. Numerous imperial or US customary units, as well as SI-derived units (such the cubic metre and litre), are frequently used to quantify it numerically (such as the gallon, quart, cubic inch). Volume and length (cubed) have a symbiotic relationship. The capacity of a container is typically regarded to be its volume.
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