Answer:
The maximum height of the second pluck is greater than that of the first pluck, hence the second pluck travels further
Also the distance of the maximum height of first pluck from the player is less than the distance of the second pluck from the player hence the second pluck travels further
Step-by-step explanation:
From the question we are told that
The maximum height of the first pluck is [tex]h_1 = 3 \ ft[/tex]
The height of the second height is mathematically represented as
[tex]$y=x\left(0.15-0.001x\right)[/tex]
=> [tex]y=0.15x -0.001x^2[/tex]
Generally at maximum height [tex]y' = 0[/tex]
So
[tex]y'=0.15 -0.002 x = 0[/tex]
=> [tex]x = 75 \ ft [/tex]
Here 75 ft is the horizontal distance the second pluck traveled at maximum height
So the maximum height of the second pluck is mathematically represented as
[tex]y=0.15(75) -0.001(75)^2[/tex]
=> [tex]y= 5.625 \ ft [/tex]
So comparing the maximum height of the first and the second pluck we see that the maximum height of the second pluck is greater than that of the first pluck, hence the second pluck travels father
Which of the following fraction pairs are equivalent fractions? *
a. 1⁄4 and 1⁄2
b. 1⁄4 and 3⁄4
c. 1⁄4 and 4⁄12
d. 1⁄4 and 8⁄32
Answer:
D. 1/4 and 8/32
Step-by-step explanation:
its d because if you simplify 8/32 you get 1/4
Mike completed an online course that contained 20 core topics in a total of
40 learning hours. How many topics did he complete in 12 hours time?
Answer:
6 hours
Step-by-step explanation:
What you have to do is find the unit rate, which would be 20/40 which is .5 ( half an hour, 30 mins ) . Then you would do 30 x 12 = 360 ( 6 hours ).
what is 3600x0+1=2?
thanks i appreciate it
Answer:
actually it = 1 but there's your answrr
Step-by-step explanation:
3600x0 = 0
0+1=1
The princiole labeled some of the marks on the four thermometers with dollar amounts. Decide what labels belong on the remaining marks
Answer:
hmm lets see
Step-by-step explanation:
What If? If the teacher always launches the ball with the speed found in part (a), what is the minimum angle (in degrees above the horizontal) at which he can launch the ball and still clear the playground railing? (Hint: You may need to use the trigonometric identity sec2(θ) = 1 + tan2(θ).)
9514 1404 393
Answer:
43.303°
Step-by-step explanation:
Problem geometry varies. For this question, we will assume ...
The ball is launched at a 53° angle, 24 m from a buildingThe ball takes 2.20 seconds to reach the buildingThe railing is 6.4 m highThe equation of motion in this case is ...
h(x, α) = x(tan(α) -4.9x/(v·cos(α))²)
where h(x) = height at distance x, α is the launch angle, vₓ is the horizontal speed of the ball.
__
The ball was launched at an angle of 53° in part (a) at a speed that gives it a horizontal speed of (24 m)/(2.2 s). That is, the speed in the direction of launch is ...
(24 m)/(2.2 s)/cos(53°) ≈ 18.126983 m/s . . . . speed in part (a)
__
For the question at hand, we need to find α such that ...
h(24) = 6.4
Substituting into the above equation gives ...
6.4 = 24(tan(α) -24(4.9/18.126983^2·sec(α)^2)
6.4 = 24(tan(α) -0.35789551(tan(α)^2 +1)) . . . . replacing sec(α) using hint
If we let z represent tan(α), this can be written in standard form as ...
8.5894922·z^2 -24z +14.989492 = 0
Then the minimum solution (by the quadratic formula) is ...
z = (24 -√(24^2 -4(8.5894922)(14.989492)))/(2·8.5894922)
z = 0.94244774
And the angle is ...
α = arctan(z) = arctan(0.94244774) ≈ 43.303°
The teacher must launch the ball at an angle of at least 43.3° to clear the railing.
Helen borrowed $8,000 from her grandfather to pay for college. Five years later, she paid him back the $8,000 and an interest of $1,200. What was the annual interest rate?
Answer:
3%
Step-by-step explanation:
No explanation
HELP! DUE TONIGHT!! Also, I need an explanation (if you can its alright if not) so I can also understand it for the test too.
What is the value of x?
Answer:
The value of x in the problem is 1.
ASAP 50 POINTS Which expression is a sum of cubes? -64x6y12+125x16y3 -32x6y12+125x16y3 32x6y12+125x9y3 64x6y12+125x9y3
Answer:
64x6y12+125x9y3 I think. Hope this helps
Answer:
The answer is D
64x6y12+125x9y3
Step-by-step explanation:
Youre welcome
Ayuda por favor es para una tarea!!
Answer:
m<PAT = 41°
m<TAY = 41°
y^2+3y^2-6y+y^{3-8y}
Vincent counts 30 dimes and 87 pennies in a bowl. How many more pennies
than dimes are in the bowl?
Answer:
57
Step-by-step explanation:
87-30=57. That means that there are 57 more pennies than dimes in the bowl.
Answer:
subtract 30 from 87
Step-by-step explanation:
87-30
Write the equation of the parabola in vertex form.
vertex (4.1), point (3,-4)
Answer:
[tex]\boxed{\bold{y=-5(x-4)^2+1}}[/tex]
Step-by-step explanation:
[tex]y=a(x-h)^2+k[/tex] - vertex form of equation of a parabola where vertex is (h,k)
[tex]y=a(x-4)^2+1[/tex] - vertex form of equation of a parabola where vertex is (4,1)
The parabola goes through point (3, -4) so if x=3 then y=-4
[tex]-4=a(3-4)^2+1\\\\-4-1=a(-1)^2+1-1\\\\-5=a\cdot1\\\\{}\ \ a=-5[/tex]
Therefore the equation of the parabola in vertex form with vertex (4,1), going through point (3,-4):
[tex]y=-5(x-4)^2+1[/tex]
Evaluate each of the following expressions for
a = -2 and b = -10
1. ab
Angle ABD is 90 what is the measure of ABC
Answer:
90 I am guessing. if it's like a square or rectangle
Your bank account has a balance of $25. You withdraw $46. You then deposit $50. What is your new balance?
Answer:29
Step-by-step explanation:$25-$46=-21
-21+50=29
Write 3.19×10−2 in standard form.
Answer:
It is already in standard form
What is the temperature displayed on the thermometer?
Your Answer :
98.6°F (37°C).
Step - By - Step Explanation :
Your normal body temperature should be around 98.6°F (37°C). If you have a temperature that is over than 100.4°F (37.2°C), then you should see your doctor preferably soon.
Note :
I am sorry if this is the wrong answer to your question. Your query did not have an image to display the temperature on the thermometer nor did your query have any further context for us to examine.
Good luck on your homework and have a great day.
Feel free to comment on my answer if you have any further questions.
Answer:
25
Step-by-step explanation:
It's Correct On Edge As Well :P
carlos read 40 pages of a book in 50 minutes. how many pages should he be able to read in 80 minutes
Answer:
70
Step-by-step explanation
5. Ameris rolls a standard number cube with the numbers 1-6. What is the probability of
rolling a 6 or a 2?
a. 16
b. 13
C.
d. 5%
Answer: its 2/6 is the answer the choices don't make cense
Step-by-step explanation:
Horizontal lines e and f are intersected by lines a and b. At the intersection of lines a and e, the uppercase left angle is 75 degrees. At the intersection of lines b and e, the uppercase right angle is 115 degrees. At the intersection of lines a and f, the bottom right angle is 75 degrees.
Which lines are parallel? Justify your answer.
Lines a and b are parallel because their alternate exterior angles are congruent.
Lines a and b are parallel because their same side exterior angles are supplementary.
Lines e and f are parallel because their alternate exterior angles are congruent.
Lines e and f are parallel because their same side exterior angles are congruent.
Lines e and f are parallel because their alternate exterior angle is congruent. Option C is correct.
Find the diagram attached;
The point where two lines meet is known as an angle.
From the given diagram, we can see that the angle of 75 degrees is at the top left corner is similar to the 75 degrees down right.Hence we can conclude that lines e and f are parallel because their alternate exterior angle is congruent.Learn more here: https://brainly.com/question/11397920
Answer: Option 3 or C. Lines e and f are parallel because their alternate exterior angles are congruent.
Step-by-step explanation: The correct answer is C.
I got it right on the Edge 2022 quiz. Trust me the proof is shown below.
Triangle A B C. Angle C is 90 degrees. Hypotenuse A B is 13, adjacent B C is 5, opposite A C is 12.
For the triangle above, find sin B.
a.
25°
c.
0.923
b.
0.385
d.
18°
Answer:
sin = opp/hyp
sin B = 12/13
sin B = 0.923
C
Which graph matches the following inequality: y<-2/5x+1?
Answer: B is the answer
Step-by-step explanation:
What is the additive Inverse (zero pair) of 3k
Answer:
-3000
Step-by-step explanation:
an additive inverse of a number is a number, when added to, makes zero. So if its 3000 than the inverse would be -3000 since it equal 0
Which statement about residual plots is not true?
A. if the residuals are randomly distributed, the model is probably reasonable
B. The sum of the residuals is 0
C. The vertical axis shows residuals
D. The horizontal axis shows the predicted y-values
Answer:
The horizontal axis shows the predicted y-values.
Step-by-step explanation:
The person above me is dumb, he's cancelled.
Answer:
D
Step-by-step explanation:
Find f(-5) if f(x) = |x + 1|.
A)6
B)5
C)4
W=ab/a+b ; solve for a
I could solve for a and it said this:
Isolate the variable by dividing each side by factors that don't contain the variable.
All real numbers
Interval Notation:
(−∞,∞)
But I can solve for W and B
W = 2b
b = W/2
a = I could solve for a and they put the answer to this (−∞,∞)
What is equivalent to
Can somebody help me plz with this math problem!!
Answer:
Step-by-step explanation:
.
Answer:
thxxxxxxxxxx for the points
Step-by-step explanation:
у = 2х - 5
Х
у
0
1
2
3
4
Answer:2x-5= -10
If that was what you mean.
Step-by-step explanation:
Answer:
y = -5
y = -3
y = -1
y = 1
y = 3
Step-by-step explanation:
HELP WITH MY MATH EXAM i don't know what to do and my head hurts a lot
Answer:
x = 154/13
Step-by-step explanation:
You are given the measures of all three angles in a triangle
so according to the Triangle Sum Theorem:
∠MNO + ∠OMN + ∠NOP = 180
1. Substitute the measures of the angles into the equation:
(3x + 11) + (2x + 20) + (8x - 5) = 180
2. Combine like terms:
(3x + 2x + 8x) + (11 + 20 -5) = 180
13x + 26 = 180
3. Isolate x by subtratcing 26 from both sides
13x + 26 -26 = 180 -26
13x = 154
4. Solve for x by dividing both sides by 13
13x/13 = 154/13
x = 154/13