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svetoff [14.1K]
2 years ago
9

The position of the following moving along a straight line at any time t is given by s(t) = t^2 +4t+4/ What is the acceleration

of the particle when t =4?
Mathematics
1 answer:
Naddik [55]2 years ago
4 0

Answer:

\boxed{s(t) = 36 {ms}^{ - 2} }

Step-by-step explanation:

s(t) = t^2 +4t+4 \\ when \: t =4 \\ s(t) =  {4}^{2}  + (4)(4) + 4 \\ s(t) =  {4}^{2}  +  {4}^{2}  + 4 \\ s(t) = 32 + 4 \\ s(t) = 36

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Our club has 25 members, and wishes to pick a president, secretary, and treasurer. In how many ways can we choose the officers,
Rus_ich [418]

Answer:

13800

Step-by-step explanation:

The order of the members is important (because each selected member will receive a different position), thus we then need to use the definition of permutation.

There are 25 members, of which 3 are selected.

\begin{array}{l}n=25 \\r=3\\end{array}

Evaluate the definition of a combination:

P(25,3)=\frac{25 !}{(25-3) !}=\frac{25 !}{22 !}=25 \cdot 24 \cdot 23=13800

8 0
3 years ago
{x + 4y = 13<br> {x – y = 3
NARA [144]

Answer:

x = 5 and value of y = 2

Step-by-step explanation:

using substitution method

let;

x + 4y = 13...................... equation 1

x - y = 3............................... equation 2

from equation 2

x - y = 3.................................... eqn 2

x = y + 3.......................................... equation 3

put x = y + 3 in equation 1

x + 4y = 13...................... equation 1

y + 3 + 4y = 13

5y = 13 - 3

5y = 10

divide both sides by 5

i.e

5y/5 = 10/5

y = 2

sustitue for y  = 2 in equation 3

x = y + 3.......................................... equation 3

x = 2 + 3

x = 5

therefore the value of x = 5 and value of y = 2

to check if your answwer is correct slot in the value of x and y in any of the equation . e.g

from equation 3

x = y + 3.......................................... equation 3

5= 2 + 3

5 =5....................... proved

3 0
3 years ago
Laura walks 3/5 mile to school each day Isaiah walks to school is 3 Times as long as Laura how far does Isaiah walk to school ea
AleksAgata [21]
Isaiah walks 1.8 miles to school each day

3/5*3=9/5=1.8
5 0
3 years ago
Isabel’s team won their baseball game and scored 60 points total . If Isabel scored 12 of the points and everyone else scored 8
Studentka2010 [4]

Answer:

6 people on her team

Step-by-step explanation:

60-12= 48

48/8= 6

6 0
3 years ago
Read 2 more answers
How many miles are equivalent to 89,760 feet? Show your work
AysviL [449]
89760÷5280=17 is how much feet is in a mile
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3 years ago
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