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
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
Add the polynomials.
(3x² - 7x+2) + (7x2 - 6x)
Answer:
If by the 7x2 you mean 7x² it will be
10x²-13x+2
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.
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
What is the slope of the line through the points (4, -7) and (9, 2)?
the answer
y/x so its 9/5
What number comes after quintillion?
Answer:
1 quintillion and 1.
Step-by-step explanation:
This is the number written out:
1000000000000000001
(On right polynomial) help find equivalent (Left equivalent expressions)
Answer:
i
Step-by-step explanation:
i
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:
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
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
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
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.
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 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.
Helpppppppppppppppppppppp
Answer:
20
Step-by-step explanation:
(2x)° + (2x)° + (6x - 20)° = 180°
10x = 200
x = 20
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
Please help me. Thank you so much
Answer:
x = 10
Step-by-step explanation:
0.4 / 17= what i need help this is ilx
Answer:
.0235294117647
Step-by-step explanation:
Answer:
0.02352941176
Step-by-step explanation:
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!)
Expression 3x²+4x-5
x=0
Answer:
x = {1/3, 0}
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
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/hWhat 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
y = 5x - 1
10x - 2y = 2
Answer:
0 = 0 => Infinitely many solutions
Step-by-step explanation:
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
33s^5t^4u^8 ÷ 11st^3u^8
Answer:
[tex]3s^{4}t\\[/tex]
Step-by-step explanation:
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.
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
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