Answers
Step-by-step explanation:
For a quadratic equation y = ax² + bx + c, the vertex (the maximum or minimum point) is at x = -b/(2a).
1) y = -0.5t² + 2t + 38
The maximum is at:
t = -2 / (2 × -0.5)
t = 2
The maximum height is:
y = -0.5(2)² + 2(2) + 38
y = 40
The coordinates of the vertex are (2, 40). That means the missile reaches a maximum height of 40 km after 2 minutes.
2) y = -4.9t² + 12t + 1.6
The maximum is at:
t = -12 / (2 × -4.9)
t = 1.22
The maximum height is:
y = -4.9(1.22)² + 12(1.22) + 1.6
y = 8.95
The coordinates of the vertex are (1.22, 8.95). That means the missile reaches a maximum height of 8.95 m after 1.22 seconds.
3) y = -0.04x² + 0.88x
The maximum is at:
x = -0.88 / (2 × -0.04)
x = 11
The maximum height is:
y = -0.04(11)² + 0.88(11)
y = 4.84
The maximum height of the tunnel is 4.84 meters.
The maximum width is when y = 0.
0 = -0.04x² + 0.88x
0 = -0.04x (x − 22)
x = 22
The maximum width is 22 feet.
Related Questions
Which of these cannot be a whole
number?
A a positive integer
B a negative integer
C a rational number
Answers
Recall the Survivor: 21 Flags game from the page on backward induction. Assume that you are playingthe same game with the same rules EXCEPT now the team who takes the last flag loses.a) (30 points) What should each team’s strategy be?b) (5 points) What is the best move for the first team to move?c) (5 points) What is the best move for the second team to move?
Answers
Answer:
Given that there are 21 flags, NOW using backward induction we can see that;
If there is only one flag left, whosoever picks up that particular flag will lose. Therefore, 1 is loosing number.
Now if there are 2 flags left, whosoever's turn it is, can pick 1 flag and leave one for the opponent and win the game. Therefore, 2 is winning number. Similarly if there are 3 flags left then whosoever's turn it is can pick 2 flags and leave one for the opponent and can win the game. Hence 3 is winning number. Similarly when 4 flags left, 3 can be picked up and leave one for the opponent and win the game. So, 4 is also winning number.
Now, if there are 5 flags left, then no matter whichever number you choose among 1,2 or 3 you gonna leave other team with 4,3 or 2 respectively and all 3 are winning number. Therefore, 5 is loosing number.
Similarly, if you have 6,7,8 then by taking 1,2,3 respectively you can leaveyour opponent with number 5 and that is loosing number and you can win certainly. Therefore, 6,7,8 are also winning number.
Following above discussion, we see a pattern among the number that would make sure you win and with other numbers you loose.
we see after 1 if we go in positive direction on number line till 21 then every fourth number is loosing number because no matter what you choose you will leave your opponent with a winning number of flags and if your opponent knows and follows the optimal strategy can win. Therefore,
Loosing Numbers = 1,5,9,13,17 and 21
Winning Numbers = 2,3,4,6,7,8,10,11,12,14,15,16,18,19 and 20
a) STRATEGY
If you are a team that is stuck with any of loosing number that is 1,5,9,13,17 or 21 then no matter what strategy you follow you gonna loose. Therefore, there is n winning strategy in this situation given other team also knows the winning strategy
But if you have any of winning numbers at any point then you can follow the following strategy and can win
- 2 flags = pick up one flag and leave 1 for the opponent, win
- 3 flags = pick up 2 flags and leave 1 for the opponent, win
- 4 flags = pick up 3 flags and leave 1 for the opponent, win
- 6 flags = pick up one flag, then no matter what your opponent chooses you follow either strategy number 1,2 or 3 based on the number of flags left and win
- 7 flags = pick up 2 flags, then no matter what your opponent chooses you follow either strategy number 1,2 or 3 based on the number of flags left and win
- 8 flags = pick up 3 flags, then no matter what your opponent chooses you follow either strategy number 1,2 or 3 based on the number of flags left and win
- 10 flags = pick up one flag, then no matter what your opponent chooses you follow either strategy number 4,5 or 6 based on the number of flags left and win
- 11 flags = pick up 2 flags, then no matter what your opponent chooses you follow either strategy number 4,5 or 6 based on the number of flags left and win
- 12 flags = pick up 3 flags, then no matter what your opponent chooses you follow either strategy number 4,5 or 6 based on the number of flags left and win
- 14 flags = pick up one flag, then no matter what your opponent chooses you follow either strategy number 7,8 or 9 based on the number of flags left and win
- 15 flags = pick up 2 flags, then no matter what your opponent chooses you follow either strategy number 7,8 or 9 based on the number of flags left and win
- 16 flags = pick up 3 flags, then no matter what your opponent chooses you follow either strategy number 7,8 or 9 based on the number of flags left and win
- 18 flags = pick up one flag, then no matter what your opponent chooses you follow either strategy number 10,11 or 12 based on the number of flags left and win
- 19 flags = pick up 2 flags, then no matter what your opponent chooses you follow either strategy number 10,11 or 12 based on the number of flags left and win
- 20 flags = pick up 3 flags, then no matter what your opponent chooses you follow either strategy number 10,11 or 12 based on the number of flags left and win
b)
Since team moving first will have 21 flags left on ground and it is a loosing number, no matter which number it chooses to pick it is gonna loose as it will leave other team with winning number. So, they will be indifferent between choosing 1,2 or 3
c)
If first teams removes 1 flag then best strategy for second team would be to remove 3 flags and again leave first team with loosing number
similarly, If first teams removes 2 flags then best strategy for second team would be to remove 2 flags and again leave first team with loosing number
and If first teams removes 3 flags then best strategy for second team would be to remove only 1 flag and again leave first team with loosing number
root 25-2(3+4*(-2)) whole square
Answers
Answer:
-45.
Step-by-step explanation:
I am assuming you mean
√25 - 2(3 +4(-2))^2
= 5 - 2(3-8)^2
= 5 - 2 * (-5)^2
= 5 - 2*25
= -45.
Monica has $20. She needs to buy a gallon of milk that costs $2.50. She also wants to buy yogurt, which costs $1.20 a cup. What is the greatest number of cups of yogurt Monica can buy?
Use the inequality 1.20x + 2.5 ≤ 20 to solve the problem.
Answers
Cost of a cup of yogurt = $1.20.
Total money Monica has = $20.
Number of cups of yogurt Monica can buy = x.
And inequality made is also correct
1.20x + 2.5 ≤ 20.
Now, we need to solve it for x.
Subtracting 2.5 from both sides, we get
1.20x + 2.5 -2.5 ≤ 20 - 2.5.
1.20x ≤ 17.5
Dividing both sides by 1.20, we get
1.20x/1.20 ≤ 17.5/1.20.
x ≤ 14.5833...
Because it's less than 15, so final answer is : 14 is greatest number of cups of yogurt Monica can buy.
Greatest number of cups of yogurt Monica can buy is equals to 14cups.
What is Linear inequality?
" Linear inequality is the algebraic mathematical expression which compares two value with the sign of inequality, <, > , ≤, ≥ ."
According to the question,
Given,
Total amount with Monica = $20
Cost of a gallon on milk = $2.50
Cost of 1cup of yogurt = $1.20
Given linear inequality
1.20x + 2.5 ≤ 20
x represents the number of cups of yogurt
Solve linear inequality to get the value of x we have,
1.20x+2.5 -2.5 ≤ 20-2.5
⇒1.20x ≤ 17.5
⇒x ≤ 17.5 / 1.20
⇒x ≤ 14.58
14 ≤ 14.58 ≤ 15
Therefore, 14 of cups of yogurt Monica can buy.
Learn more about Linear inequality here
https://brainly.com/question/11897796
#SPJ2
-8 (x - 3) = -32
Your answer
Answers
X - 3 = -32 move the constant to the right
X = -32 + 3
Answer : X = - 29
Simplify to create an equivalent expression.
4(-15 – 3p) - 4(-p+5)
Choose 1 answer:
(Α)
-8p - 80
B
- 13p - 80
-8p + 80
8p - 80
Answers
Answer:
A) I got this question right on my assignment
A company was able to increase its staff from 127 employees to 204
employees. What was the percentage increase in staff? Round your
answer to the nearest tenth.
Answers
4. At 7:30 a.m., the temperature in Cloud City was - 22°F. By 8:45 a.m., the temperature had risen 37 degrees. What was the temperature at 8:45 a.m.? At 8:45 a.m., the temperature was [3°F .
Answers
Answer:
15°F
Step-by-step explanation:
Item 3 A snail travels 3/8 feet in 1/2 hour. How many feet does the snail travel in one hour? Express your answer in simplest form. 3/16ft 1/4ft 1/8ft 3/4ft
Answers
which number can each term of the equation be multiplied by to eliminate the fractions before solving?
plzzz help
Answers
Answer:
12.
Step-by-step explanation:
Because 12 is the only number that comes in 2,3 as well as 4s table.
6th grade math plsss help
Answers
Answer:
17.2
Step-by-step explanation:
Answer:
The answer is 17.2
Step-by-step explanation:
The equivalent ratios show how many teaspoons there are in 5 cups.
1.200 tsp ?tsp
50
10
What method can be used to convert 1 cup to teaspoons?
O multiply 1.200 by 5
O divide 1.200 by 5
multiply 5 by 1
divide 5 by 1,200
Answers
Answer:
divide 1,200 by 5 and the answer is 240
Step-by-step explanation:
did the test got an 100
Answer:
give Dom071 brainliest
Step-by-step explanation:
the answer is b and he got it right, also don't mix up the multiply and divide like I did ;-;
Divide -4-i/2+3i i , write answer in standard form a + bi This is a multiple choice question, pick one of the choices for your answer.
-11/13 + 10/13 i
-11/13 - 10/13 i
-11/5 + 2i
-11/5 -2i
Answers
Answer:
Step-by-step explanation:
[tex]\frac{-4 - i}{2 + 3i} * \frac{2 - 3i}{2 - 3i} = \frac{-8 + 12i - 2i + (3i)^{2} }{4 - 3i^{2} } = \frac{-11 - 10i}{4 + 9}= \frac{-11 - 10i}{13}[/tex]
the answer is b
Which scale factor was used to create triangle SRT?
Answers
Answer:
1.6
Step-by-step explanation:
5 times 1.6 is 8.
- 5 choose vanilla
-
10 choose strawberry
What percent of Tristan's classmates choose
strawberry as their favorite type of
icecream?
Answers
claude spends $315 to rent a car. The car costs $45 per day. He had a coupon for 2 free days. Complete equation to find number of days claude rents the car. D represents the number of days. _ (_-_)=_
Answers
Answer:
9 DAYS
Step-by-step explanation:
he has + 2 days first then you do 315/45 =5 + 2 = 7
-2x^2+8x-9+4x+7x^2+2
Answers
Answer:
Add like terms
Step-by-step explanation:
You want to combine the squared, the variables, and the constants.
Combine -2x^2 and 7x^2 to get 5x^2
Then combine 8x and 4x which is 12x
Then combine -9 and +2 which is -7.
You should get 5x^2 + 12x - 7.
Keep in mind you can only combine like terms that are in the same equals barrier
For example: You can combine 8x + 3 + 2x = 0
but not 8x +3 = 2x +0 because they are on different sides of the equal sign.
Determine that table of values for these simultaneous equations.
5x+y=7
3x-y= 1
Answers
Answer:
What we suppose to be answering?
Step-by-step explanation:
what is -66 2/3 - 24 1/8 + -78 3/4
Answers
Answer:
-169.541667
Step-by-step explanation:
Answer:
Step-by-step explanation:
i belive your asnwer would be -257/24 but what are u trying to find?
f(x) = 2x – 1 What is f(13)?
Answers
Answer:
f(13) = 25Step-by-step explanation:
f(x) = 2x – 1
To find f(13) substitute the value of x that's 13 into f(x). That is for every x in f (x) replace it with 13
We have
f(13) = 2(13) - 1
= 26 - 1
We have the final answer as
f(13) = 25Hope this helps you
If g(x)=x^2+5x find the value g(-2)+2
Answers
Answer:
-4
Step-by-step explanation:
g(-2) = (-2)^2 + 5(-2)
g(-2) = 4 - 10
g(-2) = -6
and
g(-2) + 2
-6 + 2 = -4
Answer:
-4
Step-by-step explanation:
g(x)=x^2+5x
First find g(-2) by letting x=-2
g(-2) = (-2)^2 +5(-2)
= 4 -10
= -6
g(-2) +2 = -6+2 = -4
Divide. Express your answer in simplest form. 14 ÷ 2/7
Answers
=49
Solution by Formulas
First:
Convert any mixed numbers to fractions.
Then your initial equation becomes:
141÷27
Applying the fractions formula for division,
=14×71×2 =982
Simplifying 98/2, the answer is =49
What is nine divided by five and one fourths
Answers
9 ÷ 5 1/4 = 36/21
Simplify
36/21 = 12/7 = 1 5/7
study of class attendance and grades among first-year students at a state university showed that, in general, students who missed a higher percent of their classes earned lower grades. Class attendance explained 36% of the variation in grade index among the students. What is the numerical value of the correlation between percent of classes attended and grade index?
Answers
I need help on this question (6w^8)^3. must have only one exponent
Answers
Answer:
[tex]216w^{24}[/tex]
Step-by-step explanation:
[tex]\left(6w^8\right)^3[/tex]
[tex]6^3\times \left(w^8\right)^3[/tex]
[tex]216\times \left(w^8\right)^3[/tex]
[tex]216w^{8\times3}[/tex]
[tex]216w^{24}[/tex]
Answer:
6w^24
Step-by-step explanation:
(6w^8)^3
6w^8*3
6w^24
please follow me at brainly and give thanks
GIVING BRAINLIST IF YOU HELP FAST!
Which statement about the arrow is true?
A)
The arrow does not have rotational symmetry.
B)
The arrow has rotational symmetry after a 90° rotation.
C)
The arrow has rotational symmetry after a 180° rotation.
D)
The arrow has rotational symmetry after a 270° rotation.
Answers
Answer:
B
Step-by-step explanation:
Answer:
Though you said that you would give " BRAINLIST IF YOU HELP FAST!" It doesn't mean that it is going to be the right answer. The correct answer is "ACTUALLY" C) The arrow has rotational symmetry after a 180° rotation.
Step-by-step explanation:
matt and craig run into each other at the batting cages they wonder why they didn't see each other more often since they have practices there regularly matts coach takes him there every 7 days and craigs teacher takes him there every 4 when will they see each other again
Answers
Answer= 28
2(x + 3) – 10 = 4x
Can you also explain please. Thanks
Answers
Answer:
x=-2
Step-by-step explanation:
2(x+3)-10=4x
2x+6-10=4x
6-10=2x
-4=2x
-2=x
Answer:
x = -2
Step-by-step explanation:
First distribute the 2 with x and 3
Equation should look like... 2x + 6 - 10 = 4x
Second combine like terms, 6 and -10
Equation should look like... 2x - 4 = 4x
Third bring 2x to the other side making it -2x and subtract it from 4x
Equation should look like... -4 = 2x
Last divide -4 and 2.
Equation should look like... x = -2
What is
10x + 300 = 800
Pls
Answers
Answer:
x = 50
Step-by-step explanation:
10x + 300 = 800
subtract 300 from both sides
10x = 500
divide each side by 10
x = 50
Step-by-step explanation:
First group like terms
10x
[tex]10x + 300 = 800 \\ [/tex]
300 moves and joins 800 on the other side making it negative
[tex]10x = 800 - 300 = 500[/tex]
[tex]10x = 500[/tex]
10 then divides 500
Making the answer x=50
Write the ratio of 4 squares to 3 circles in three different ways.
Answers
Answer:
Using the Word to---- 4 to 3
As a a fraction--- 4/3
As a ratio---- 4:3
Step-by-step explanation:
i think