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Mama L [17]
3 years ago
10

A particle is moving along the number line so that its distance (in meters) from the origin at any time t (in seconds) is given

by s(t) = 8t2 + ln t.
The velocity of the particle at t = 1 second is:
Mathematics
1 answer:
Black_prince [1.1K]3 years ago
8 0

Answer:

The velocity is 17 m/s

Step-by-step explanation:

To find the velocity, we find the first differential of the displacement

That will be

S’(t) = 16t + 1/t

We simply proceed to replace t with 1

That will give;

16(1) + 1/1

= 16 + 1 = 17 m/s

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What is the value of y?
Romashka [77]

Answer:

y=42

Step-by-step explanation:

y+48+90=180

y=180-138

y=42

7 0
3 years ago
Jadas family has completed 30% of a trip. They have traveled 15 miles. How far is the trip
valentina_108 [34]

Answer:

50

Step-by-step explanation:

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x=50

8 0
3 years ago
Read 2 more answers
An exponential function is expressed in the form y=axb^x. The relation represents a growth when _______ and a decay when ______.
seropon [69]

Answer:

Growth when: b>1.

Decay when: 0<b<1.

Step-by-step explanation:

Any function in the form f(x)=a{\times}b^x , where a > 0, b > 0 and b not equal to 1 is called an exponential function with base b.

If 0 < b < 1 this is an example of an exponential decay.

The general shape of an exponential with b > 1 is an example of exponential growth.

Hence,

An exponential function is expressed in the form f(x)=a{\times}b^x,   The relation represents a growth when  b >1 and a decay when 0<b<1.

5 0
3 years ago
Find the volume of the triangular prism.
goldfiish [28.3K]

Answer:

V = 31.5 in ^3

Step-by-step explanation:

The volume is Bh

The base is the triangle

B = 1/2 (7) *2

B = 7 in^2

Now find the volume

V = 7* 4.5

V = 31.5 in ^3

5 0
3 years ago
What's the correct choice please help
nadezda [96]

Answer:

$77,886

Step-by-step explanation:

We solve this question by proportions, using a rule of three.

The table states that:

$201.6 in 2006 is worth $232.957 in 2013.

We want to find:

The value of $90,000 in 2013 in 2006:

$201.6 - $232.957

x - $90000

Applying cross multiplication

232957x = 201.6*90000

x = \frac{201.6*90000}{232957}

x = 77886

$77,886 is the answer

6 0
3 years ago
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