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goldfiish [28.3K]
3 years ago
8

A car is driven on a straight track such that its displacement from the starting point is given as x = t + 2t2. What is the aver

age velocity (average rate of change of displacement) of the car between t = 2s and t = 4s?
Mathematics
1 answer:
11111nata11111 [884]3 years ago
4 0
Average velocity = (x(4) - x(2))/(4 - 2) = ((4 + 2(4)^2) - (2 + 2(2)^2))/2 = ((4 + 2(16)) - (2 + 2(4)))/2 = ((4 + 32) - (2 + 8))/2 = (36 - 10)/2 = 26/2 = 13m/s.
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Enter the equation of the circle described below. <br> Center (-1,4), radius = sqrt3
slava [35]
The equation of a circle always follows this:

(x - x1) + (y - y1) = r^2

x1 and y1 represent the coordinates as POSITIVE numbers and the r represent the radius

Your answer is (x + 1) + (y - 4) = 3
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Answer:

6.48%

Step-by-step explanation:

t - c = b

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b = 31.93 - 29.99

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3 years ago
Jackson estimated 637 ÷ 78 as 640 ÷ 80. He reasoned that 64 tens divided by 8 tens should be 8 tens. Is Jackson’s reasoning corr
Sholpan [36]

Answer:

the correct solution has been explained

Step-by-step explanation:

Jackson,s reasoning is incorrect  because it should be 8 ones and not 8 tens that would give 64

\frac{640}{80} = \frac{64}{8} = 8

Moreover, \frac{637}{78}  is\ not\ equal\ to \frac{640}{8}

as \frac{637}{78}= 8.16

whereas \frac{640}{80} = 8

clearly, both quantities are different

7 0
3 years ago
Twenty times a square of a positive integer plus 50 equals negative 40 times the square of the positive integer plus one-hundred
rusak2 [61]
20x^2+50 = -40x^2+110x [ Taking x as the unknown positive integer ]
4 0
3 years ago
The sum of a number, 1/6 of that number, 2 1/2 of that number, and 7 is 12 1/2. Find the number.
Tema [17]

Answer:

2 \frac{1}{16}

Step-by-step explanation:

The question state that;  the sum of a number, 1/6 of that number, 2 1/2 of that number, and 7 is 12 1/2. Find the number.

First, we need to interpret and represent this statement mathematically

Let n be the number.

The sum means 'addition'

1/6 of that number is  1/6 of n = 1/6 × n  = \frac{n}{6}

2 1/2 of that number is 2 1/2 of n = 2 1/2 × n  = 5/2 × n = \frac{5n}{2}

So the question says that, when we add; \frac{n}{6} ,  \frac{5n}{2}  and 7 all together, the value is 12 1/2

That is;

\frac{n}{6}  + \frac{5n}{2} + 7 = 12 1/2

\frac{n}{6}  + \frac{5n}{2} + 7  = \frac{25}{2}         ( changing 12 1/2 to improper fraction will give  \frac{25}{2} )

So we can now go ahead and solve for n

\frac{n}{6}  + \frac{5n}{2} + 7  = \frac{25}{2}  

subtract 7 from both-side of the equation

\frac{n}{6}  + \frac{5n}{2}   =  \frac{25}{2}   -   7

\frac{n + 15n}{6}  =   \frac{25 -14}{2}

\frac{16n}{6}      =    \frac{11}{2}

\frac{16n}{6}  can be reduced to give us \frac{8n}{3}

\frac{8n}{3}   =   \frac{11}{2}

Cross multiply

8n × 2  = 11× 3

16n = 33

Divide both-side of the equation by 16

\frac{16n}{16}    =   \frac{33}{16}

(On the left-hand side of the equation, 16 will cancel-out 16 leaving us with just, while  on the right-hand side of the equation 33 will be divided by 16)

n =  \frac{33}{16}     = 2\frac{1}{16}

Therefore the number is  2\frac{1}{16}

5 0
3 years ago
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