flight of a rocket the altitude in feet attained by a model rocket t seconds into flight is given by the function h(t). find the maximum altitude (in ft) attained by the rocket. (round your answer to the nearest foot.) h(t)
Answers
the maximum altitude attained by the rocket is 300 ft (rounded to the nearest foot) with time.
To find the maximum altitude attained by the rocket, we need to find the vertex of the function h(t). We can do this by taking the derivative of the function and setting it equal to 0.
h'(t) = -32t + 300
Setting h'(t) = 0, we get
-32t + 300 = 0
32t = 300
t = 300/32
hence the time t ≈ 9.375
Now, we can substitute the value of t in the original equation h(t) to get the maximum altitude attained by the rocket.
h(9.375) = -16(9.375)2 + 300(9.375)
h(9.375) = 300 ft
Therefore, the maximum altitude attained by the rocket is 300 ft (rounded to the nearest foot).
The complete question is :
flight of a rocket the altitude in feet attained by a model rocket t time seconds into flight is given by the function h(t). find the maximum altitude (in ft) attained by the rocket. (round your answer to the nearest foot.) h(t)= -16t2 + 300t
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Related Questions
The image is an example of which type(s) of symmetry.
Answers
Answer:
D Both
Step-by-step explanation:
It's a regular hexagon which means it will look the same even if you rotate or cut it
Answer:
Both rotational and reflectional
Step-by-step explanation:
Solve for x in the diagram below.
35°
5x°
Answers
Answer:
11
Step-by-step explanation:
5x° + 35° = 90°
(complementary angles)
5x° = 90° - 35°
5x° = 55°
x = 55/5
x = 11
Answer:
11
Step-by-step explanation:
35+5x = 90
5x = 90- 35
5x = 55
x = 55/5 = 11
I hope im right!!
Ace scored 3 baskets in his second game of the season. This was 2 less than his first game. What was the percent change between the two games? %
Answers
Answer:
2% different
Step-by-step explanation:
it is 2% different because if Ace scored 3 baskets in his scond game but it was 2 less then his first so which means his first game he scored 5
140 is what percent
less than 160 ? PLSASE HELP
Answers
Answer:
The answer should be 12.5%
Which inequality represents the graph?
Answers
Answer:
y>3x-3
Step-by-step explanation:
Thomas put ¼ of the c coins he had in his pockets into the jar under his bed. He puts 16 coins into the jar. The equation that models this situation is ¼c = 16. How many coins did Thomas have in his pocket
Answers
Answer:
he would have 20 in his pocket
Step-by-step explanation:
Please help I’ll give brainliest
Answers
Answer:
last option
Step-by-step explanation:
7 is the most significant value
a van full of storm chasers is driving along a straight road at 94 kilometers per hour in hopes of filming a tornado. the tornado, 7 kilometers away, is traveling along the same road and moving directly toward them, traveling at 69 kilometers per hour. if neither the van nor the tornado changes course, how long will it be before they meet?
Answers
The time taken to traveled the van and the tornado before they meet as per the speed of the van and the tornado is equal to 2.6 minutes.
As given in the question,
Speed of the van along the straight road = 94 kilometers per hour
After travelling distance of 7 kilometers
Speed of the tornado along the same road = 69 km/hour
Total relative speed of van and tornado = 94 + 69
= 163km/hour
Distance travelled between two different speed = 7km
Time used to traveled before they meet = distance / speed
= 7 / 163
= 0.043 hours
= 2.58minutes
= 2.6minutes
Therefore, the time required to traveled the van and the tornado before they meet is equal to 2.6 minutes.
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I have no idea how to graph it. I got the C part that it’s 45 months of service but I’m not sure to how come up with values to graph
Answers
In order to graph the function, the slope will be 20 and the y-intercept will be at C=40, taking into account that the limit is x=50
to find the line join points (0,40) and the limit coordinate found through the equation
\(\begin{gathered} C=40+20\cdot(50) \\ C=1040 \end{gathered}\)the other coordinate is (50,1040)
then, cross a line at x=25
In triangle XYZ , A is the midpoint of overline XY . B is the midpoint of overline YZ . and C is the midpoint of overline XZ; AC = 5 , BC = 6 , and XZ = 15 What is the perimeter of triangle XYZ ? Enter your answer in the box .
Answers
The perimeter of the triangle XYZ according to the midsegment theorem is 37
What is the midsegment theorem?The midsegment theorem states that the segment that is obtained by joining the midpoints of two sides of a triangle is parallel to the third side and it is half the length of the third side of the triangle.
The specified parameters are;
The midpoint of \(\overline{XY}\) = A
The midpoint of \(\overline{YZ}\) = B
The midpoint of \(\overline{XZ}\) = C
The length of segment AC = 5
The length of segment BC = 6
The length of side XZ = 15
The segments AC, BC, and AB are midsegments of the triangle XYZ
According to the midsegment theorem, we get
AC = 0.5 × \(\overline{YZ}\)
BC = 0.5 × \(\overline{XY}\)
AB = 0.5 × \(\overline{XZ}\)
Therefore;
2 × AC = \(\overline{YZ}\)
2 × BC = \(\overline{XY}\)
2 × AB = \(\overline{XZ}\)
\(\overline{YZ}\) = 2 × 5 = 10 (substitution property)
\(\overline{XY}\) = 2 × 6 = 12 (substitution property)
The perimeter of the triangle = \(\overline{YZ}\) + \(\overline{XY}\) + \(\overline{XZ}\)
Plugging in the values, of \(\overline{YZ}\), \(\overline{XY}\), and \(\overline{XZ}\) we get;
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mr. b. grades 12.5 papers in 2.7 minutes. at that rate, how much time will it take him to grade 150 papers?
Answers
The time it will it take him to grade 150 papers is 32 minutes, 4 seconds
How to determine the valueIt is important to note that proportion is a method of comparison in which two expressions or equations are made equal to each other.
From the information given, we have that;
Mr. B grades a total of 12.5 papers in 2.7 minutes.
Then, for 150 papers, we would have;
If 12. 5 papers = 2.7 minutes
Then 150 papers = x
Cross multiply the values
12.5x = 2.7(150)
multiply the values
12.5x = 405
Divide the values by the coefficient of x, we get;
x = 405/12.5
x = 32 minutes, 4 seconds
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- Evaluate h(x) = -1/4x + 6, for h(-8).
Answers
Answer:
h(-8) = 8
Step-by-step explanation:
h(-8) = -1/4(-8) + 6
h(-8) = 8/4 + 6
h(-8) = 2 + 6
h(-8) = 8
Pat's chickens lay between 18 and 25 eggs per week. Pat eats 2 eggs per day and feeds the remaining
eggs to his dogs.
Complete the inequality which best describes the number of eggs (E) Pat's dogs eat per week.
Answers
Answer:
E = 16 ≤ x ≤ 23
Step-by-step explanation:
Number of eggs laid per week = between 18 and 25
Let x = exact number of eggs laid
Using inequality :
18 ≤ x ≤ 25
Number of eggs Pat eats = 2
18 - 2 ≤ x ≤ 25 - 2
Eggs left after pat eats 2 of the eggs :
16 ≤ x ≤ 23
Hence,
Eggs eaten by pat's dogs :
E = 16 ≤ x ≤ 23
I need help please it's just this last question i don't know of and it's about quadratics and parabolas in algebra. It's basically a crossword but the question says " a graph can have one, two or none of these" and the first letter starts with a S. i have 80 points i will give out 50 i hope that's a lot i don't know much about points in this. Thank you.
Answers
Answer:
is there an actual graph though that would really help
Step-by-step explanation:
In problems 9-12, a family of solutions of a differential equation is given. Find the value of the constant C so the solution satisfies the initial value condition. 9. y' 2x and y(3)=7. y x2 + C. ) 10. y'-3x2-5 and y(1)-2. y x3-5x + C. 11. y'-3y and y(0) 5. у Сезх. 12, y'-2y and y(0)-3, y Ce
Answers
As a result, the constant C has a value of -2. So, option (a) is the appropriate response.(9) Given y'(x) = 2x and y(x) = x^2 + C with y(3) = 7, we have the equation:
7 = 3^2 + C
Solve for C:
C = 7 - 9 = -2
10. Given y'(x) = -3x^2 - 5 and y(x) = x^3 - 5x + C with y(1) = -2, we have the equation:
-2 = 1^3 - 5(1) + C
Solve for C:
C = -2 - 1 + 5 = 2
11. Given y'(x) = -3y and y(x) = Ce^(-3x) with y(0) = 5, we have the equation:
5 = Ce^(-3 * 0)
Solve for C:
C = 5
12. Given y'(x) = -2y and y(x) = Ce^(2x) with y(0) = -3, we have the equation:
-3 = Ce^(2 * 0)
Solve for C:
C = -3
The given family of solutions of a differential equation are:y' = 2x and y(3) = 7.y = x² + CWe need to find the value of constant C so that the solution satisfies the initial value condition.Substitute x = 3 and y = 7 in the equation:y = x² + C7 = 3² + C7 = 9 + CC = -2Therefore, the value of constant C is -2. Hence option (a) is the correct answer.
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Write an 27, 31, 35, .... explicit formula for an, the n th term of the sequence
Answers
Answer :
See below ~
Explanation :
Common difference (d) between terms is :31 - 27 = 4Then the recursive formula is :
aₙ = aₙ₋₁ + 4Change the following equation from standard form to Slope-Intercept Form.
7x - 4y= 28
Answers
Answer:
y = \(\frac{7}{4}\) x - 7
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c
Given
7x - 4y = 28 ( subtract 7x from both sides )
- 4y = - 7x + 28 ( divide all terms by - 4 )
y = \(\frac{7}{4}\) x - 7 ← in slope- intercept form
Two friends argue over who brushes their teeth more often.
Who is more likely to brush both morning and evening? Assume all events are independent.
Multiple choice answers in picture below
Answers
Answer:
arabella so B
Step-by-step explanation:
plz mark brainlyest
The probability of one who is more likely to brush both time morning and evening is Braxton, he has a 0.61 probability of brushing both times.
What is Probability?Probability helps us to know the chances of an event occurring.
\(\rm Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}\)
The probability of Braxton brushing both times = (0.72×0.85) = 0.612
The Probability of Arabella brushing both times = (0.82×0.79) = 0.6478
Hence, the probability of one who is more likely to brush both time morning and evening is Braxton, he has a 0.61 probability of brushing both times.
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E probability of observing the experiment result, a sample mean, for example, or something more unusual just by chance if the null hypothesis is true is the definition of _____________.
Answers
The probability of observing the experiment result, a sample mean, for example, or something more unusual just by chance if the null hypothesis is true is the definition of "P-Value."
What is null hypothesis?A null hypothesis is a sort of statistical hypothesis which asserts that there is no statistical significance in a particular set of observations.
Using sample data, hypothesis testing is performed to determine the believability of a theory. It really is expressed as H0 and is also known to simply as "null."
Some key features regarding null hypothesis are-
A null hypothesis is a statistical conjecture that claims there is no variation between particular qualities of a population and data-generating process.The alternate hypothesis asserts the existence of a distinction.Hypothesis testing allows you to reject the null hypothesis with a particular level of confidence.If the null hypothesis can be rejected, it lends support to the alternative hypothesis.The notion of falsity in science is founded on null hypothesis testing.To know more about null hypothesis, here
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Which table of ordered pairs represents a proportional relationship?
х
-2
4
-6
y
4
16
36
х
-4
-6
-8
y
-8
-12
-18
o
х
-3
-5
-7
y
5
3
1
O
х
-3
-6
-9
y
12
24
36
Answers
Answer:
x=-3×-5×-7
-3×-5=15
15×-7=-105
=-105
At the start of an experiment, the temperature was 15C. After 5 minutes, the temperature was 30C.
Write an equation in slope-intercept form to represent the increase in temperatures. What is the rate of change of temperature to minutes?
Answers
The rate of change of temperature to minutes is 5°C/min.
out of a group of 20 students, 10 like movies, 5 like video games, and 5 like TV. Make a circle graph that shows that data.
Answers
Percentage of students who like movies: (10/20) * 100 = 50%
Percentage of students who like video games: (5/20) * 100 = 25%
Percentage of students who like TV: (5/20) * 100 = 25%
To create a circle graph that represents the data on the preferences of 20 students towards movies, video games, and TV, we need to calculate the percentage of students who like each activity.
Given that 10 students like movies, 5 students like video games, and 5 students like TV, we can calculate the percentage for each category as follows:
Percentage of students who like movies: (10/20) * 100 = 50%
Percentage of students who like video games: (5/20) * 100 = 25%
Percentage of students who like TV: (5/20) * 100 = 25%
Now we can represent these percentages in a circle graph.
First, draw a circle to represent the entire group of 20 students. Divide the circle into three sections, each representing the three activities: movies, video games, and TV.
For the movies section, draw an arc that covers 50% of the circle. Label it "Movies" and write the percentage (50%) inside the arc.
For the video games section, draw another arc that covers 25% of the circle adjacent to the movies section. Label it "Video Games" and write the percentage (25%) inside the arc.
Finally, draw the TV section, adjacent to the video games section, with an arc that covers 25% of the circle. Label it "TV" and write the percentage (25%) inside the arc.
Make sure to include a legend that explains what each section represents (movies, video games, and TV).
The resulting circle graph visually represents the data on the preferences of the 20 students towards movies, video games, and TV, showing the proportional distribution of their preferences in relation to the total group.
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six countries in a certain region sent a total of 75 representatives to an international congress, and no two countries sent the same number of representatives. of the six countries, if country a sent the second greatest number of representatives, did country a send at least 10 representatives?
Answers
One of the six countries sent 41 representatives to the congress.
What, in the simplest words, is the Congress?
The Congress is our country's legislative body, which drafts our laws. The United States Senate and the United States House of Representatives are the two branches of Congress.
Each state has two U.S. Senators and a minimum of one U.S. Representative; the number of U.S. Representatives that can be elected depends on the number of citizens in the state.
(1) One of the six countries sent 41 representatives to the congress
(2) Country A sent fewer than 12 representatives to the congress
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For the following translation, (x, y) (x-3, y+8) which direction would the figure go in?
Answers
which of the following will increase the power of a statistical test? a. none of the other options will increase power b. change the variability of the scores from 20 to 100 c. change the sample size from n
Answers
Change the sample size from n will increase the power of a statistical test. The correct answer is C.
Increasing the sample size is one of the most effective ways to increase the power of a statistical test. With a larger sample size, there is a greater chance of detecting a true effect or rejecting a false null hypothesis.
This is because a larger sample provides more information and reduces sampling variability, leading to more precise estimates and increased statistical power.
The other options listed, such as changing the variability of the scores or changing the significance level, may have an impact on the statistical test but may not directly increase the power. Changing the variability of the scores may affect the precision of the estimates, but it may or may not increase the power of the test.
Similarly, changing the significance level affects the trade-off between Type I and Type II errors, but it does not directly increase the power. The correct answer is C.
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dawg help me :(((
Identify the x-intercept for the equation:
y=2x+50
Question 5 options:
(-5/2, 0)
(50, 0)
(0, 50)
(0, -5/2)
Answers
Answer:
x-intercept: (-50/2,0) = (-25,0)
Step-by-step explanation:
0 = 2x + 50
- 50= 2x
- 50/2 = x
x = - 25
A submarine 58 feet below see level. An a airplane is 264 feet above sea level. How far above is the submarine in the plane?
Answers
Answer:
322
Step-by-step explanation:
58+264=322
Answer:
322 feet
Step-by-step explanation:
if the question was two positive heights, you would subtract, and you still do. we find how many inches my father is taller than me by subtracting my height from his, and the same applies to this, though the submarine, being below sea level is at a negative height. when you subtract a negative, it's the same as adding a positive.
264 - (-58)
264 + 58 = 322
Ricardo started a savings account for his daughter Ruth by depositing
$500 into the account for her
1st birthday. For each successive birthday, Ricardo deposits
$200 more than the amount deposited for the previous birthday. This is the only money deposited into the account. What is the total amount of money Ricardo will have deposited into the account for Ruth up to and including her 6th birthday?
Answers
Answer big number
Step-by-step explanation: you start with 500 then 700 for 2nd then 900 for 3rd 1100 for 4th 1300 for 5th 1500 for 6th
Answer: 6,000
Step-by-step explanation:
If it starts with 500 on the first birthday, and each year he deposits the same amount as the previous plus 200 then we get 700 for the 2nd year.
3rd year: deposits 900
4th year: deposits 1100
5th year: deposits 1300
6th year: deposits 1500
500+700+900+1100+1300+1500=6000
Answer: $6000
Which statement can be represented by the equation 18 divided by m = 7.2?
Answers
Answer:
2.5
Step-by-step explanation:
Look at the stem and leaf plot. What is the mode of the numbers?
Answers
Answer:
Step-by-step explanation:
Mode is the one that occurs the most.
Stem is first number repeated for leaf
so your list of numbers is
10,12,12,22,23,24,30
The one that occurs the most is 12. So your mode is 12.
If there are multiple numbers that are "most" then there is no mode.