Answer:
B Barney stops less than a foot from the car.
Step-by-step explanation:
From the information given:
The initial speed of barney [tex]v_o[/tex] = 25 mph
Coefficient of friction [tex]\mu[/tex] = 0.7
Recall that
1 mph = 0.447 m/s
Then
[tex]v_o[/tex] = 25 × 0.447 m/s
[tex]v_o[/tex] = 11.175 m/s
The force of friction acting on the barney is expressed as:
[tex]F = \mu N \\ \\ F = \mu mg[/tex]
[tex]ma = \mu mg[/tex]
[tex]a = \mu g[/tex]
a = 0.7 × 9.8 m/s
a = 6.86 m/s²
Since the force acts in an opposite direction to the motion of Barney, Thus the acceleration must also be negative.
a = -6.86 m/s²
Now;
Suppose Barney stops after traveling a distance (s), so that the final speed is zero.
Then;
Using the kinematic equation;
[tex]v^2 - v_o^2 = 2as[/tex]
[tex]0 - (11.17)^2 = 2 \times (-6.86) s[/tex]
[tex]-124.76 = -13.72 s[/tex]
[tex]s = \dfrac{124.76}{13.72}[/tex]
s = 9.09 m
Recall that;
1 m = 3.28 ft
So;
s = 9.09 m = 9.09 × 3.28 ft
s = 29.81 ft
∴
The distance traveled by the Barney is 29.81 ft which implies that Barney stops less than a foot from the car.
Find the value of x.
Answer
x=7
Step-by-step explanation:
I honestly forgot how to explain but my logic is that 43+137+137+43=360
so, x would equal 7
What number comes after quintillion?
Answer:
1 quintillion and 1.
Step-by-step explanation:
This is the number written out:
1000000000000000001
Amelia's water bottle holds 4 pints, 2 cups. How many cups does Amelia's water bottle hold? Note: 1 pint = 2 cups
Answer:
10 cups
Step-by-step explanation:
4x2=8. 8+ the 2 cups in the beginning would be 10 cups.
The graph of a sinusoidal function intersects its midline at (0,-2) and then had a minimum Point at (3pi/2,-7)
Write the formula of the function, where x is entered in radians.
f(x)= ?
Answer:
f(x)=-5sin (1/3x)-2
Step-by-step explanation:
The formula of the function, where x is entered in radians is f(x) = [tex]5sin(\frac{\pi x}{2})-2[/tex]
What is Sinusoidal function?A sine wave, sinusoidal wave, or just sinusoid is a mathematical curve defined in terms of the sine trigonometric function
Given,
Midline is at (0,-2)
minimum point at [tex](\frac{3\pi }{2},-7)[/tex]
Therefore, the function is line with amplitude = -2-(-7)=5
No phase shift as intersection at 0.
Vertical shift is -2
Then,
f(x) = [tex]5sin(\frac{\pi x}{2})-2[/tex]
Hence, The formula of the function, where x is entered in radians is f(x) = [tex]5sin(\frac{\pi x}{2})-2[/tex]
Learn more about Sinusoidal function here
https://brainly.com/question/12060967
#SPJ2
What is the value of x?
Enter
X :
(Look at the photo)
Answer:
x = 20
Step-by-step explanation:
Each line creates a 180° angle on each side of it. Since these lines intersect, they have congruent angles. This means that these two quantities can be set equal to each other.
3x + 50 = 6x - 10
Solve by combining like-terms and isolating x. Move the 3x to the right by subtracting it from both sides.
50 = 3x - 10
Move the 10 to the left by adding it to both sides.
60 = 3x
Divide the 3 from both sides to isolate the x.
x = 20
Furthermore, this can be checked by plugging in 20 to x and seeing if the expression is true.
3(20) + 50 = 6(20) - 10
110 = 110
Helpppppppppppppppppppppp
Answer:
20
Step-by-step explanation:
(2x)° + (2x)° + (6x - 20)° = 180°
10x = 200
x = 20
30 POINTS PLEASE HELP!!!
The ratio of two sides of a parallelogram is 3:4 and the perimeter is 28 in. Find the lengths of the sides of the parallelogram.
Answer:
the lengths of sides are 8 and 6.
Step-by-step explanation:
Let us denote side lengths of the parallelogram as x and y.
Then first condition can be written as x/y=3/4.
Second condition can be written as 2x+2y=28.
We can multiply both sides of the first equation by y and get x=(3y)/4.
Now we have x expressed in terms of y. It is convenient because we can substitute x in the second equation:
2(3y/4)+2y=28
And we can solve it for y.
1.5y+2y=28
3.5y=28
y=8
What is left is to find x. We may use the expression for x again: x=(3*8)/4=6
Ans: the lengths of sides are 8 and 6.
(On right polynomial) help find equivalent (Left equivalent expressions)
Answer:
i
Step-by-step explanation:
i
Solve for x: x + 16 = -18
Answer:
Step-by-step explanation:
Let's solve your equation step-by-step.
x+16=−18
Step 1: Subtract 16 from both sides.
x+16−16=−18−16
x=−34
Answer:
x=−34
Mr Todd buys 7 drinks at 48p each and 8 drinks at 52p each. What is the total cost of the 15 drinks?
Answer:
80p
if you are adding 4p every time you add a drink you will be adding 7 drinks therefore you have to do (7x4p) this will equal 28p then you have to add 28p to 52p
Hope this helps
355+480 is the same as 335+ ?
Answer:
355+480 is the same as 335+500
Step-by-step explanation:
355+480=835
835-335=500
∴355+480 is the same as 335+500
Which expression is equivalent to x 2 - 17x - 60?
Answer:
(x-20)(x+3)
Step-by-step explanation:
Answer:
( x − 20)( x + 3)
Step-by-step explanation:
i did the test
What is AC for brainliest
•Triangle 1
#Find CD first use tan formula
tan(∅) = opposite / adjuscent
tan(45) = CD / 5
CD = 5 × tan(45)
CD = 5
•Triangle 2
#Now you can find AC use Pythagoras theorem (c = AC)
a² + b² = c²
4² + 5² = c²
16 + 25 = c²
41 = c²
c = √41
c = 6.4
so, AC is 6.4
#Give me brainliest ok? im tired writing all of this
The diameter of a circle is 6 ft. Find its area to the nearest tenth.
Formulas:
A= πr²
d= 2r
Solving:
A=14πd²=14·π·6²≈28.27433ft²
Hope I helped. :)
- Valenteer
(Please mark me as brainliest if this helped, that would be beneficial!)
(Thx for the points!)
Masha biked 20km 20 minutes faster than Dasha biked 20km. Find the speed of each cyclist if one biked 2km/h faster than the other.
Answer:
12 km/h and 10 km/hStep-by-step explanation:
Let the speed of Masha = s, speed of Dasha = d
Distance = 20 kmTime difference = 20 min = 1/3 hrSpeed difference = 2 km/hAs per above info we get following equations:
s = d + 220/s + 1/3 = 20/dSubstitute s and solve for d:
20/(d + 2) + 1/3 = 20/dGet rid of fraction by multiplying all terms by 3d(d + 2):
60d + d(d + 2) = 60(d + 2)60d + d² + 2d = 60d + 120d² + 2d = 120d² + 2d + 1 = 121(d + 1)² = 11²d + 1 = 11d = 10Find s:
s = 10 + 2 = 12The answer is
Masha's speed 12 km/h and Dasha's speed 10 km/h33s^5t^4u^8 ÷ 11st^3u^8
Answer:
[tex]3s^{4}t\\[/tex]
Step-by-step explanation:
Follow the steps and finish the solution.
7(x-3) = 28
7x-21 = 28
Distributive property
7X=49
Addition property of equality
Division property of equality
X= -
What is the value of x?
O 7
O 9
O 42
056
Answer:
7 because 7x = 49 is 7 because 7 goes to itself 1 and to 49 7
In an algebraic expression, terms are separated by ___________________?
A:Group of answer choices
parentheses
B: multiplication and division signs
C: addition and subtraction signs
D: fraction bars
0.4 / 17= what i need help this is ilx
Answer:
.0235294117647
Step-by-step explanation:
Answer:
0.02352941176
Step-by-step explanation:
3. A gardener mows 5 out of every 6 days. How many days would he mow
in a 90-day period of time? Plz I really need help ASAP
Answer:
Step-by-step explanation:
90(5/6)
450/6
75
9514 1404 393
Answer:
75
Step-by-step explanation:
90 = 6 × 15
There are 15 6-day periods in 90 days. The gardener will have mowed ...
15 × 5 = 75
times in those 15 periods.
He will mow 75 times in a 90-day period.
__
If you like, you can set up a proportion for the unknown number of mowings (m).
mows/days = m/90 = 5/6
Multiply by 90 to solve for m.
m = 90(5/6) = (90/6)(5) = 15(5) = 75 . . . . . . this should look like the above
Please help me. Thank you so much
Answer:
x = 10
Step-by-step explanation:
what is this question??
Answer:
5.1* 10-¹
Hope it helps thank you
Answer:
5.1 x 10^-1
Step-by-step explanation:
Scientific notation of a number less than 1 but greater than 0 involves a negative exponent.
Since the decimal is moving left one place (from 5.1 to 0.51), the exponent will only be 1.
y = 5x - 1
10x - 2y = 2
Answer:
0 = 0 => Infinitely many solutions
Step-by-step explanation:
Find the product. - mnp (3 m - 5 n + 7 p ) -3 m2np + 5 mn2p - 7 mnp2 -3 mnp + 5 mnp - 7 mnp -3 m + 5 n2+ 7 p2 3 mnp - 5 mnp + 7 mnp
Answer:
9mnp
Step-by-step explanation:
Answer:
It's 3m - 5n + 7p lol
Expression 3x²+4x-5
x=0
Answer:
x = {1/3, 0}
Step-by-step explanation:
Add the polynomials.
(3x² - 7x+2) + (7x2 - 6x)
Answer:
If by the 7x2 you mean 7x² it will be
10x²-13x+2
What is the measurement of angle B*
A
112
с
51
Kelly was building a bed for her dollhouse. She used her bed, which is 4 feet × 6 feet, as a guide. She scaled down the dimensions of her bed by a factor 1 over 5. What are the dimensions of the model bed she built?
0.8 foot × 1.2 feet
0.4 foot × 0.6 foot
0.08 foot × 0.12 foot
0.04 foot × 0.06 foot
Answer:
A
0.8 foot × 1.2 feet
Step-by-step explanation:
What is the slope of the line through the points (4, -7) and (9, 2)?
the answer
y/x so its 9/5
La probabilidad de que al tirar un dado, salga 1, es de 1/6. La probabilidad de que salga 3, es de 1/6. Calcular la probabilidad de que al tirar un dado, salga 1 o 3.
Respuesta. La probabilidad de sacar um 3 seria de 16.66% osea un sexto ,de sacar un numero par es de tres sexto osea del 50% y de sacar un numero impar es de tres sexto osea 50% igual ke los pares y de sacar un numero menor k 7 es de 6 sobre 6 osea 100%.
El valor uno corresponde al suceso seguro: lanzamos un dado al aire y la probabilidad de que salga cualquier número del 1 al 6 es igual a uno (100%). El resto de sucesos tendrá probabilidades entre cero y uno: que será tanto mayor cuanto más probable sea que dicho suceso tenga lugar.