Answer:
1) The speed after 5 seconds is 13.[tex]\bar 8[/tex] m/s
2) The distance traveled after 5 seconds is 34.7[tex]\bar 2[/tex] meters
Step-by-step explanation:
1) The given parameters are;
The mass of the hockey puck, m = 0.18 kg
The horizontal force applied by the player, m = 0.5 N
The time at which the speed is calculated, t = 5 seconds after the force is applied
Therefore;
From the equation for the applied force, F = m × a. where a represents the acceleration, by substituting the known values get;
0.5 = 0.18 × a
∴ a = 0.5/0.18 = 50/18 = 25/9 = 2.[tex]\bar 7[/tex]
a = 2.[tex]\bar 7[/tex] m/s²
The speed after 5 seconds is given from the kinematic equation, v = u + a·t
Where;
v = The final velocity
u = The initial velocity = 0 m/s
t = The time = 5 seconds
By substitution of the known values, we get;
v = 0 + 2.[tex]\bar 7[/tex] × 5 = 13.[tex]\bar 8[/tex]
The speed after 5 seconds = 13.[tex]\bar 8[/tex] m/s
2) The distance traveled, s, after 5 seconds is given by the equation, s = u·t + 1/2·a·t²
From which we have;
s = 0 × 5 + 1/2 × 2.[tex]\bar 7[/tex] × 5² = 34.7[tex]\bar 2[/tex]
The distance traveled after 5 seconds = 34.7[tex]\bar 2[/tex] meters
What's 1+1? PLZ answer.
Answer:
1 + 1 = 2
Step-by-step explanation:
Answer:
2
Step-by-step explanation:
1+1 =2
Which is a correct frost step for solving this equation
Answer:
you have to post the equation
Step-by-step explanation:
For a party, you buy 4 3/8 lbs of salt water taffy. If 150 people are attending, how much salt water taffy does each person get?
Answer:
..
Step-by-step explanation:
When the sun is at a certain angle in the sky, a 20-foot flagpole will cast a 16-foot shadow. How tall is a person if he casts a 4.4-foot shadow at the same time? The person is blank feet tall. Enter only the number.
Answer:
The person is 5.28 feet tall
If a carton of a dozen eggs cost $3.99 how much would 3 eggs be?
Halla la suma de 3, ocho veces un número, y tres veces el mismo número
Answer:
3 + 11x
Step-by-step explanation:
Nuestra ecuación será: 3 + 8x + 3x
No sabemos qué es x, así que simplemente sumamos términos semejantes y obtenemos 3 + 11x
Espero que esto haya ayudado, por favor marque lo más inteligente, ¡gracias!
Two cards are randomly pulled out of a standard pack of 52 cards. What is the probability
that both are face cards?
A. 9/169
B. 12/221
C. 33/676
D. 11/221
========================================================
Work Shown:
For any given suit, there are 3 face cards: Jack, Queen, King.
There are 4 suits, leading to 4*3 = 12 face cards out of 52 total.
The probability of pulling out a face card is 12/52.
After that card is selected, we have 12-1 = 11 face cards left and 52-1 = 51 cards left overall. This is assuming a replacement is not made, or the card is not put back.
The probability of getting another face card, given the first selection was a face card, is 11/51.
Multiplying the two fractions gives:
P(2 face cards) = P(1st facecard)*P(2nd facecard given 1st facecard)
P(2 face cards) = (12/52)*(11/51)
P(2 face cards) = (12*11)/(52*51)
P(2 face cards) = (3*4*11)/(13*4*3*17)
P(2 face cards) = (11)/(13*17)
P(2 face cards) = 11/221
Rewrite 1/4 / 1/3 as a unit rate
Answer:
0.25 and 0.33?
Step-by-step explanation:
Someone help me please
Express the cosine of < W as a ratio of the given side lengths.
Y is directly proportional to x when x=540 y=10 calculate the value of y when x=540.
Answer:
Step-by-step explanation:
Y should still be 10 since x is 540
What is the solution for 2X- 5=7
Answer:x = 6
Step-by-step explanation:
Answer:
x=6
Step-by-step explanation:
Add 5 to both sides of the equation:
2x -5 = 7
2x -5 +5 =7 +5
Simplify:
2x=12
Divide both sides of the equation by the same term:
2x = 12
2x/2 = 12/2
Simplify again:
x=6
Answer:
x = 6
The distance between (2, 3) and (6, -2) is
Answer:
(4, -5) should be the correct answer
Step-by-step explanation:
I hope this helps, please mark brainliest if correct!
Simplify the followingexpression (-5)(-3)(4)
I really need help with this math work
Answer:
Step-by-step explanation:
The graph below is how you label the points, where to put them and the line that you need to draw to get the points.
Everything is laid out for you to copy. Start at the lower right and go to the to the upper left on your table.
2h + (6 + h) + 6 ∙ 2
Answer: 3h+18
Step-by-step explanation:
2h+6+h+12
add like terms (add all the the h’s) which equals 3h and add 6+12 which equals 18 so your answer is 3h+18
Find the coordinates of point P that lies along the directed line segment AB in a 2:3 ratio given A (-2, 1), B (3, 4).
Answer:
[tex]P(x,y) = (0,\frac{11}{5})[/tex]
Step-by-step explanation:
Given
[tex]A = (-2,1)[/tex]
[tex]B = (3,4)[/tex]
[tex]m:n = 2:3[/tex]
Required
Determine the coordinates of P
The coordinate of a point when divided into ratio is:
[tex]P(x,y) = (\frac{mx_2 + nx_1}{m + n},\frac{my_2 + ny_1}{m + n})[/tex]
Where
[tex](x_1,y_1) = (-2,1)[/tex]
[tex](x_2,y_2) = (3,4)[/tex]
[tex]m:n = 2:3[/tex]
This gives:
[tex]P(x,y) = (\frac{2 * 3 + 3 * -2}{2 + 3},\frac{2 * 4 + 3 * 1}{2 + 3})[/tex]
[tex]P(x,y) = (\frac{6 - 6}{5},\frac{8 + 3}{5})[/tex]
[tex]P(x,y) = (\frac{0}{5},\frac{11}{5})[/tex]
[tex]P(x,y) = (0,\frac{11}{5})[/tex]
What are the intercepts of –3x + 5y – 2z = 60? (–3, 0, 0), (0, 5, 0), (0, 0, –2) (–180, 0, 0), (0, 300, 0), (0, 0, –120) (–20, 0, 0), (0, 12, 0), (0, 0, –30) (–60, 0, 0), (0, 60, 0), (0, 0, –60)
Answer:
(-20, 0, 0)
(0, 12, 0)
(0, 0, -30)
Answer:
(-20, 0, 0)
(0, 12, 0)
(0, 0, -30)
1) Write the equation parallel to the following equations that would go through (2,7):
a) Y = 3x - 2
b) Y = % x + 3
c) Y = x - 6
d) Y + 2x = 8
So 1 equation per letter
Note: Your option 'b' is somewhat ambiguous, so I am assuming you meant to write the equation y=2x+3 for the 'b' option.
Answer:
the equation y = 2x + 3 has slope m=2 and the y-intercept is 3, and also PASSES through the point (2, 7).
Step-by-step explanation:
An equation parallel to the given line equation will have the same slope.Given the point (2, 7) from which the equation passes through.
so checking all the equations in the options to check whether any equation passes through or not.
Checking the option 'a':
y = 3x - 2
Putting (2, 7)
7=3(2)-2
7=6-2
7=4
L.H.S is not equal to R.H.S
Therefore, the option 'a' is NOT correct.
So, the equation y = 3x - 2 will NOT PASS through the point (2, 7)
Checking the option 'b':
y = 2x + 3
Putting (2, 7)
7=2(2)+2
7=7
7=7
L.H.S is equal to R.H.S
Therefore, option 'b' is the CORRECT option.
So, the equation y = 2x + 3 will PASS through the point (2, 7)
Checking the option 'c':
y = x-6
Putting (2, 7)
7=2-6
7=-4
L.H.S is not equal to R.H.S
Therefore, the option 'c' is NOT correct.
So, the equation y = x-6 will NOT PASS through the point (2, 7)
Checking the option 'd':
y + 2x = 8
Putting (2, 7)
7+2(2)=8
7+4=8
11=8
L.H.S is not equal to R.H.S
Therefore, the option 'd' is NOT correct.
So, the equation y + 2x = 8 will NOT PASS through the point (2, 7)
Therefore, considering the above analysis, we conclude that:
Option 'b' is the CORRECT option.
So, the equation y = 2x + 3 will PASS through the point (2, 7).
also
The slope-intercept form of the equation is
[tex]y=mx+b[/tex]
where m is the slope and b is the y-intercept.
Therefore, the equation y = 2x + 3 has slope m=2 and the y-intercept is 3, and also PASSES through the point (2, 7).
For Carl's birthday, his grandparents gave him a $50 gift card to a local movie theater. The theater charges $6 admission for each movie. How can Carl use an arithmetic sequence to determine the value left on his card after each movie he sees?
Answer:
50 - 6x = leftover value
Step-by-step explanation:
X is the amount of movies he has seen (pays $6 for each movie)
Carl can use the function → a(n) = 56 - 6n determine the value left on his card after each movie he sees.
We have Carl's grandparents who gave him a $50 gift card to a local movie theater. The theater charges $6 admission for each movie.
We have to check how can Carl use an arithmetic sequence to determine the value left on his card after each movie he sees.
What is an Arithmetic sequence?An arithmetic sequence is a sequence of numbers in which every term (except the first term) is obtained by adding a constant number to the previous term is called an arithmetic sequence.
According to the question, we have -
Amount in Gift card = $50
Charges for Admission to every new movie = $6
Therefore, we can create a arithmetic sequence with -
a = 50 and d = -6
Therefore -
a(n) = a + (n - 1)d
a(n) = 50 + (n - 1)(-6)
a(n) = 50 - 6n + 6
a(n) = 56 - 6n
where n denotes the number of movies he watch and a(n) is money remained after watching the movies.
Hence, Carl can use the function a(n) = 56 - 6n determine the value left on his card after each movie he sees.
To solve more questions on Arithmetic sequences, visit the link below-
https://brainly.com/question/21406026
#SPJ2
Which of the following represent functions that have the same rate of change?
The answers are A and C.
Translate the phrase into an algebraic expression.
The product of c and 2
Answer:
c+2
Step-by-step explanation:
Im not 100% sure I understand what you mean by this but anytime it says and in a statement it means + so c+2 would be the answer.
please answer see the image below
Answer:
64.8Step-by-step explanation:
total area = rectangle + semi circle
= (11 x 5) + (1/2 * π * 2.5²)
= 55 + 9.8
= 64.8 sq. units
Use the product-to-sum identities to rewrite the following expression as a sum or difference.
2cos(2x)cos(2x)
what is the decibel level of the noise from a fire alarm with intensity 10^-1 watts per square inch
Answer:
110 db
Step-by-step explanation:
What is the slope of the line in the graph?
Answer:
the slope is 1
Step-by-step explanation:
i cant tell if the y-intercept is 1 or -1
If the Semi Monthly is $4,000
A) How much is the Annual?
B) How much is the Bi Weekly?
C) How much is the Monthly Pay?
D) How much is the Weekly Pay?
E) How much is the Hourly Pay?
Im at a loss on how to answer this I reallyy need help
1 and 2, please and thank you!
Overview
1
2
3
4
Question Progress
Homework Progress
0
10
Expand and simplify 2(x + 7) + 3(x + 1)
+
Answer:
I don't know how to expand but I can simplify please mark me
Step-by-step explanation:
2(x + 7) + 3(x + 1)
=2x + 14 + 3x + 3
=2x-3x + 3-14
=x+11
Two statements are missing reasons.What reason can be used to justify both statements 2 and 3?
number 7
solve for c
Answer:
60
Step-by-step explanation:
Since equalateral. The angles are the same.