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KiRa [710]
3 years ago
8

The distance a race car travels is given by the equation d=v0t+12at2 where v0 is the initial speed of the race car, a is the acc

eleration, and t is the time travelled. Write an equation for the driver's average speed s during the acceleration. (Hint: Average speed is equal to distance divided by time.)
Mathematics
1 answer:
Scrat [10]3 years ago
7 0

Answer:

v0 + 1/2at

Step-by-step explanation: Given that the distance a race car travels is given by the equation d = v0t+12at2 where v0 is the initial speed of the race car, a is the acceleration, and t is the time travelled.

The equation for the driver's average speed s during the acceleration will be:

(v0t+12at2) / t

Since Average speed is equal to distance divided by time.

Therefore, the equation will be:

v0+1/2at

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-2x+y=-8 and 4x-6y=-24 I need help :(
Varvara68 [4.7K]

Answer: <u>2x+y=-8</u> = <u>x=-1/2y-4  </u>        

<u>4x-6y=-24 </u>= <u>x =3/2y-6</u>

Step-by-step explanation:

2x+y=-8 -- Step 1: Add -y to both sides.

2x+y+−y=−8+−y

2x=−y−8

Step 2: Divide both sides by 2.

2x/2=-y-8/2

<h3 />

4x-6y=-24 -- Step 1: Add 6y to both sides.

4x−6y+6y=−24+6y

4x=6y−24

Step 2: Divide both sides by 4.

4x/4=6y-24/4

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3 0
3 years ago
A basketball is launched from a sling shot. Its height, h(x), can be represented by a quadratic function in terms of time x, in
BaLLatris [955]

Answer:

309 feet

Step-by-step explanation:

given that the height can be represented by a quadratic equation, we can say that the general form of the equation will look something like this:

h(x) = Ax² + Bx + C

we know that at the starting point of the launch that time = 0 (i.e x = 0) and hence h (x) = 0, if we substitute this into our equation, we can find the value for C

h(0) = A(0)² + B(0) + C = 0

C = 0

Hence the equation becomes

h(x) = Ax² + Bx

Given when x = 1, h(1) = 121,

121 = A(1)² + B(1)

A + B = 121 ------> eq 1

Given when x = 2, h(2) = 224,

224 = A(2)² + B(2)

4A + 2B = 224 (divide both sides by 2)

2A + B = 112------> eq 2

Solving the system of equations which comprise eq 1 and eq 2 using your favorite method, we end up with A = -9 and B = 130

our equation becomes:

h(x) = -9x² + 130x

when x = 3

h(3) = -9(3)² + 130(3) = 309 feet

6 0
3 years ago
Again, please help. i dont know any of this
Levart [38]

\textrm {Cylinder volume :}

\mathrm {Volume = \pi r^{2}{h}}

\mathrm {Volume = 3.14 \times (\frac{4}{2})^{2} \times 3}

\mathrm {Volume = 3.14 \times 12}

\mathrm {Volume = 37.68cm^{3}}

\textrm {Rectangular prism volume :}

\mathrm {Volume = length \times width \times height}

\mathrm {Volume = 6 \times 5 \times 7}

\mathrm {Volume = 30 \times 7}

\mathrm {Volume = 210cm^{3}}

\textrm {Total volume of composite figure :}

\textrm {Volume of cylinder + volume of rectangular prism}

\mathrm {37.68 + 210}

\mathrm {247.68cm^{3}}

4 0
2 years ago
Read 2 more answers
Find the greatest common factor 39 of and 44.
lapo4ka [179]

Answer:

There are no common factor between the two or its just 1.

Explanation

Factors for 39: 1, 3, 13, and 39.

Factors for 44: 1, 2, 4, 11, 22, and 44.

5 0
2 years ago
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The sum of a number and 4 times its reciprocal is 13/3<br> Find both possible numbers.
Firdavs [7]

Answer:

3 ; 4/3

Step-by-step explanation:

x + 4(1/x) = 13/3

x + 4/x = 13/3

x^2 -13/3x + 4 = 0

3x^2 - 13x + 12 = 0

Δ = 169 - 144 = 25

x1 = (13 + 5)/6 = 3

x2 = (13-5)/6 = 4/3

4 0
3 years ago
Read 2 more answers
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