a click beetle abruptly releases elastic energy stored in its body to launch itself into the air. the function h(t)=-16t^2+12t represents the height h (in feet) of the click beetle t seconds after launching. the height of a second click beetle t seconds after launching is shown in the graph. which click beetle went higher?
Answers
Answer:
The first click beetle reaches a maximum height of 2.25 feet. From the graph, you can see that the second click beetle reaches a maxium height of between 1.5 and 1.6 feet. So, the first click beetle went higher.
A beetle reaches a maximum height of 2.25 meters after 2,25 seconds
How to determine the maximum height?The function is given as:
h(t)=-16t^2+12t
Differentiate
h'(t)= -32t + 12
Set to 0
-32t + 12 = 0
Add 32t to both sides
32t = 12
Divide both sides by 32
t = 0.375
Substitute t = 0.375 in h(t)
h(0.375) = -16 * 0.375^2 + 12 * 0.375
Evaluate
h(0.375) = 2.25
The above means that a beetle reaches a maximum height of 2.25 meters after 2,25 seconds
The other parts cannot be completed because the question is incomplete
Read more about quadratic functions at:
https://brainly.com/question/56877
Related Questions
A number increased by 7 is 4 less than twice the number. Write the equation and solve
Answers
Answer:
The number must be bigger than 7 for the equation be true
If you put x= 7 or x= 6...it will not be true
Step-by-step explanation:
x+7< 2x
7< x
x> 7
Example x=9
9+7 < 2x9
16< 18 TRUE
The equation is x + 7 = 4 - 2x. Then the solution of the equation will be negative 1.
What is the solution to the equation?The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.
The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.
A number increased by 7 is 4 less than twice the number.
Let the number be 'x'. Then the inequality is given as,
x + 7 = 4 - 2x
Simplify the equation, then we have
x + 7 = 4 - 2x
x + 2x = 4 - 7
3x = - 3
x = -3/3
x = -1
The equation is x + 7 = 4 - 2x. Then the solution of the equation will be negative 1.
More about the solution of the equation link is given below.
https://brainly.com/question/545403
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-y + 9x = 0 Direct and inverse variation. constant of variation (k)
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this what teacher explain to us
What is the volume, in cubic in, of a rectangular prism with a height of 11in, a width of 15in, and a length of 2in?
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PLZ HELP ME QUESTIONS 2 AND 3 DUE BY 10 AM I WILL GIVE BRAINLIEST
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D(1,5) to (-1,5)
A(4,3) to (4,-3)
W(-1,4) to (-1,-4)
B(-4,1) to (-1,-4)
X(-3,-2) to (2,-3)
N (-5,-4) to (4,-5)
Please help asap. No links for a answer or I will report you
8th Grade
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Answer:
S
Step-by-step explanation:
BRAINLIEST PLUS 30 points if correct! NO LINKS OR WILL REPORT
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Answer:
Do the two data sets have approximately the same center? No.
Which data set has the greater spread? The first one.
Step-by-step explanation:
Hope it helps !!:)
here you go please do it quick with work
Answers
Answer:
Answer:
5. 18
6. 13.75 all the arrows for 6 is just explaining how 13,75 is the answer
5 2 11 8 35 32
if i helped brainliest is appreciated :)
2(1/5m-2/5)+3/5 Combine like terms to create and equivalent expression, please help :).
Answers
Answer:
Step-by-step explanation:
First, carry out the indicated multiplication. We get:
2m/5 - 4/5 + 3/5, which condenses to
2m - 1
2m/5- 1/5 or ---------------
5
What is the equation of a circle with a center located at (-3, 4) and a diameter of 14?
Answers
Answer: (x + 3)^2 + (y - 4)^2 = 49
Step-by-step explanation:
The equation of a circle given the center and radius: (x - h)^2 + (y - k)^2 = r^2
Given: center (-3,4) ; h = -3 and k = 4
diameter = 14
To find the radius: divide the diameter by 2 = 14/2 = 7 = r
Center: (-3,4) and radius: 7
Equation of a circle: (x - h)^2 + (y - k) ^2 = r^2
Substitute h = -3, k = 4, r = 7
(x - (-3))^2 + (y - 4)^2 = 7^2
Answer:
Equation of the circle: (x + 3)^2 + (y - 4)^2 = 49
please help me with the question
Answers
have a great day! steps are down below! :)
B
6x+7
3x+c
2x-1
What is the value of c in degrees
Answers
Answer:
1.x=15
2.<A=29
Step-by-step explanation:
(2x-1)+(3x+9)+(6x+7)=180
2x-1+3x+9+6x+7=180
11x+15=180
11x=180-15
11x=165
x=165/11
x=15
2.<A=2x-1
<A=2*15-1
<A=30-1
<A=29
For the lengths AB, BC, and AC to equal 19, 12, and 31 respectively, what is
the value of x?
Answers
Answer:
11.
Step-by-step explanation:
The equation -x^2+4x-4=0 has no solutions
a. true
b. false
Answers
Answer:
true
Step-by-step explanation:
Let us calculate the determinant of this quadratic equation:
Δ = b^2 - 4ac = 16-4*(-1)*(-4) = 0
The equation has one solution
x = -b/2a = 2
Sarah will roll a fair number cube. The number cube is labeled 1 to 6. What is the probability that Sarah will roll a number greater than 2? HELP!
5/6
1/6
2/3
1/2
Answers
Answer:
5/6 or 4/6
Step-by-step explanation:
6-2=
4/6 -with out two
5/6 -including two
A sandwich shop gives you the choice of 6 meats, 5 types of bread, 3 types of cheese, and 2 types of relish. How many different sandwiches can be made if you pick one choice from each option?
Answers
Answer:
180
Step-by-step explanation:
6(5)(3)(2) = 180
A house is worth $156,000
in 2015. In 2017, it is
worth $192,000. What is
the rate of change?
Answers
Answer:
$18,000
Step-by-step explanation:
Difference in the years is 192000-156000= 36000
To find rate of change, divide the difference by amount of years in difference.
36000/2017-2015
36000/2
Hence, $18000 per year
Hope it helps!
Help a girl out Jamal plans to attend a 4-year private university. He will receive $8,200 in scholarships and grants each year, and he will earn $1,900 each year through a work study program. Jamal's family will contribute $21,000 each year. How much will Jamal need to contribute?
Answers
Answer:
Jamal contribution = Total fee - scholarship & grant - study program earnings - family contribution
Step-by-step explanation:
Let total fee = x
Jamal contribution = x - 8200 - 1900 - 21000
= x - 31100
Her fee above & beyond 31100 will have to be arranged by Jamal's own contribution
Sophia and Tyler are running around a 400-meter track. They start running from the speed of 4 m/s. How long will it take Sophia to lap Tyler?
Answers
Answer:
100 minutes
Step-by-step explanation:
Given data
Total distaance= 400meters
Speed= 4m/s
We know that the expression for speed is
Speed= distance/time
substitute to find time
4= 400/time
time= 400/4
time= 100 minutes
Find the distance between the points.
(5.10),(5,4)
The distance is
Answers
Answer: 6??
Step-by-step explanation: Cause they are right next to each other and if u want me to be more specific its 6 units down :)
Answer:
The distance will be √(x2-x1)^2+(y2-y1)^2
=√(5-5)^2+(10-4)^2
=√(0)^2+(6)^2
=√(6)^2
=6 units
A cat can eat 1/4 of a bag of food in 1/2 of a week. How much food can the cat eat in 1 week
Answers
Answer:
1/2 of a bag in a full week
Step-by-step explanation:
If they can eat a fourth of a bag and a half of a week then they can eat a half of a bag and a full week because to have is 1/4+1/4 which equals 1/2
Which graph shows an exponential function that nears a constant value as x approaches positive infinity and has a y-intercept at (0,3)?
A. X
B. Y
C. Z
D. W
Answers
Answer:
C. Graph Z is the correct answer
Step-by-step explanation:
It touches 0,3 and the right line is going towards infinite positive x’s
#plato
The exponent function of the graph will be W. Then the correct option is D.
What is an exponent?Let b is the base and x is the power of the exponent function and a is the leading coefficient. The exponent is given as
y = a(b)ˣ + c
Where c is the intercept.
Let the leading coefficient will be 1.
Then the equation will be
y = (b)ˣ + c
The exponent function has a y-intercept at (0, 3).
Then the exponent function is given as,
y = (b)ˣ + 2
Some points regarding exponent function.
The exponent function remains positive for the real value of the x.If the value of x approaches to the negative infinity, then the function tends to zero.If the value of x approaches to the positive infinity, then the function tends to infinity.At x = 0, the function interset the y-axis at (0, 3).The exponent function of the graph will be W.
Then the correct option is D.
More about the exponent link is given below.
https://brainly.com/question/5497425
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Nathan has four brown teddy bears, 5 pink teddy bears and 3 red teddy bears in his shop. Two teddy bears are bought, one at a time. What is the probability that both teddy bears were brown?
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Answer:
2
Step-by-step explanation:
The solids are similar. Find the volume V of the red solid.
Answers
Answer:
13,564.8
Step-by-step explanation:
The ratio of the volumes of similar solids is the cube of the scale factor.
Scale factor:
red solid : blue solid = 12/10 = 6/5
Ratio of volumes:
volume red solid : volume blue solid = (6/5)^3
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Answer: V = 13,564.8 ft^3
(-2, 7) and (-2, 14)
Slope
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Answer:
slope is undefined
What is the BEST word to describe the probability that the spinner will stop on 1 or 2? A) certain B) unlikely C) impossible D) very likely
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Answer:
very likely
Step-by-step explanation:
Solve for x, rounding to the nearest hundredth.
70 - 2^3x = 35
Answers
Answer:
x=4.375
Step-by-step explanation:
Answer:
x= 1.71
Step-by-step explanation:
We need to isolate x in the equation, first subtract 70 from the left side, so the equation is, -[tex]2^{3x\\}[/tex]=-35. There is a negative sign in both equations so we cancel them out so our equation is [tex]2^{3x\\}[/tex]=35. Now we use log, so our equation now looks like {log(35)/log(2)}/3=x. When we do it out we get that x=1.70976, and when rounded we get, x-1.71.
5.
The height of a cylinder is 6 Inches. The radius of the base is 8 inches.
Which expression can be used to approximate the volume of the cylinder?
A
2 x 8 x 3.14 6
B
4x3.146
с 82 3.146
D 42 x 3.146
Answers
the volume of cylinder is 3.14 r^2×h
Answer: c
Step-by-step explanation:
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Answer:
Learn to accept love. Or talk to me. I've dealt with this before, and I know I might not be the most reassuring, and maybe you don't care about me one single bit, but at least try. Despite what you think, there's got to be someone that wants you to remain alive.
In the figure name ALL the angles that are congruent to angle 8.
Answers
The angels that are congruent to 8 are 6, 3, 1.
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Assuming the interest is compounded monthly, what interest rate, to the
nearest hundredth of a percent, would be required in order for Sophia to end
up with $9,400?
Answers
Answer:
r= 2.90%
Step-by-step explanation:
delta math