Scott is a software salesman. Let represent his total pay (in dollars). Let represent the number of copies of History is Fun he sells. Suppose that and are related by the equation 80x+2100=y Answer the questions below.

Note that a change can be an increase or a decrease.

For an increase, use a positive number. For a decrease, use a negative number.


What is the change in Scott's total pay for each copy of History is Fun he sells?



What is Scott's total pay if he doesn't sell any copies of History is Fun?

Answers

Answer 1
Answer:

Answer:

A. $80

B. $2100

Step-by-step explanation:

Given:

80x+2100=y

Rewrite the equation

y = 80x + 2100

Where,

y = Scott's total pay (in dollars)

x = number of copies of History is Fun he sells

2100 = fixed pay

A.

Since, x = number of copies of History is Fun he sells

If x = 0

y = 80x + 2100

= 80(0) + 2100

= 0 + 2100

= 2100

y = $2100

If x = 1

y = 80x + 2100

= 80(1) + 2100

= 80 + 2100

= 2180

y = $2180

change in Scott's total pay for each copy of History is Fun he sells = $2180 - $2100

= $80

B. What is Scott's total pay if he doesn't sell any copies of History is Fun?

That is, when x = 0

y = 80x + 2100

= 80(0) + 2100

= 0 + 2100

= 2100

y = $2100


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6^3x=14 Show your work

Answers

Answer:

Is 3x supposed to be an exponent?

Step-by-step explanation:

Both possible answer are provided

3x as an exponent and as 6 times 3x

Given the acceleration, initial velocity, and initial position of a body moving along a coordinate line at time t, find the body's position at time t. a=16, v(0) = -14, s(0) = -8

Answers

Answer:

The  position at time t  is  s(t) = 8t^2 -  14t   -8

Step-by-step explanation:

From the question we are told that

   The acceleration is  a =  16

   The velocity at t = 0  is  v(0) =  -14

    The  position at time t =  0  is s(0) =  -8

Generally acceleration is mathematically represented as

     a(t) =  (d v)/(dt )

=>   (dv)/(dt)  =  16

=>   dv  =  16 dt

integrating both sides we have    

     \int\limits dv  =  \int\limits16 dt

=>  v(t)  =  16 t  + c

Now at t = 0  

     v(0) =  16 * 0 +c  =  -14

=>  c =  -14

So

   v(t)  =  16 t  -14

Generally the position of the body is mathematically represented as

     s(t) =  \int\limits v(t)dt

So

    s(t) =  \int\limits 16t -  14  dt

So  

    s(t) = 16 (t^2)/(2) -  14t  + C

Now  at t =  0

     s(0) = 16 (0^2)/(2) -  14(0)  + C =  -8

=>    C =  -8

So

   s(t) = 8t^2 -  14t   -8

Final answer:

The position of the body at time t, given an acceleration of 16 m/s², an initial velocity of -14 m/s and an initial position of -8 m, is given by the equation s(t) = -8 - 14t + 8t².

Explanation:

In your problem, you're asked to find the body's position at time t given its acceleration, initial velocity, and initial position. We can do this by utilizing basic kinematics, specifically the equation for position under constant acceleration. This equation is: s(t) = s(0) + v(0)t + 0.5at².

Substituting the given values into the formula, we get s(t) = -8 + -14t + 0.5*16t².

This is the equation for the body's position at time t. It can be simplified further by multiplying the terms inside, leading to s(t) = -8 - 14t + 8t².

Therefore, given an acceleration of 16 m/s², an initial velocity of -14 m/s and an initial position of -8 m, the position of the body at time t can be described by the equation s(t) = -8 - 14t + 8t².

Learn more about Kinematics here:

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What is the measure angle of 3 ?
The measure angle of 4?

Answers

Answer:
Angle 4=83
Angle 3=46

Explanation:
For angle 4- Angles in a triangle add to 180 degrees
46+51=97 180-97=83
For angle 3- angles on a straight line add to 180 degrees
51+83=134 180-134=46

I hope this helped :)

Can someone help me with this problem please

Answers

Answer:

Circumference=2πr or πd

So:

3.14 × 6cm

=18.84cm

In AWXY, X = 700 cm, w = 710 cm and ZW=24°. Find all possible values of ZX, tothe nearest 10th of a degree.

Answers

Answer:

{}

Step-by-step explanation:

A fair coin is tossed 25 times. what is the probability that at most 24 heads occur?

Answers

The probability that at most 24 heads occur is; 24/25.

What do we mean by probability?

Probability is the branch of mathematics that deals with numerical descriptions of how likely an event is to occur or how likely it is that a proposition is true. The probability of all the events occurring need to be 1.

We have been given that a fair coin is tossed 25 times.

So, We need to find the probability:

Favourable outcomes = 24

Total outcomes = 25

The formula of probability = Favourable outcomes/Total outcomes

⇒ 24 /25

Therefore, the probability that at most 24 heads occur is; 24/25.

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Very rare. Because 25 is a high chance of it always being heads.