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-Dominant- [34]
2 years ago
11

Which equation represents an exponential function with the initial value of 500?

Mathematics
1 answer:
EastWind [94]2 years ago
5 0

Answer:

A exponential equation is usually of the form f(x)=a (1±r)ˣ.

Our limitation: Initial Vale is 500.

Let's look at our options:

#1- Initial Value of 1000  --- WRONG!

#2- Initial Value of 1000  --- WRONG!

#3- Initial Value of 500 ---- Maybe

#4- Initial Value of 500 ---- Maybe

Let's look at 3 and 4:

#3- Fits Our Form of f(x)=a (1±r)ˣ ---- CORRECT!

#4- Does not fit Our Form of f(x)=a (1±r)ˣ, It's to the 2nd power, not the x power! ---- WRONG!

Hence, #3 Is correct!

Step-by-step explanation:

Well, I hope you understood, and I'd gladly explain anything that didn't make sense. A brainliest would be appreciated, thank you!

-Zylynn Jade Ardenne

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Free fall reaches 216km per hour. What is rate in meters per second.? How many meters fall during 20 seconds free fall?
lakkis [162]

Given,

Rate of free fall = 216 km/h

Solution,

km/h to m/s is converted as follows :

216\ \dfrac{km}{h}=216\times \dfrac{1000\ m}{3600\ s}\\\\=60\ m/s

So, the rate of fall is 60 m/s.

If t = 20 s

Assume, initial velocity = 0

It will move under the action of gravity.

Using equation of motion,

h=ut+\dfrac{1}{2}gt^2\\\\h=0+\dfrac{1}{2}\times 10\times 20^2\\\\h=2000\ m

Hence, this is all for the solution.

4 0
3 years ago
Look at the figure shown below:
boyakko [2]

These are the steps, with their explanations and conclusions:


1) Draw two triangles: ΔRSP and ΔQSP.


2) Since PS is perpendicular to the segment RQ, ∠ RSP and ∠ QSP are equal to 90° (congruent).


3) Since S is the midpoint of the segment RQ, the two segments RS and SQ are congruent.


4) The segment SP is common to both ΔRSP and Δ QSP.


5) You have shown that the two triangles have two pair of equal sides and their angles included also equal, which is the postulate SAS: triangles are congruent if any pair of corresponding sides and their included angles are equal in both triangles.


Then, now you conclude that, since the two triangles are congruent, every pair of corresponding sides are congruent, and so the segments RP and PQ are congruent, which means that the distance from P to R is the same distance from P to Q, i.e. P is equidistant from points R and Q


6 0
3 years ago
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Stels [109]

Answer:

c

Step-by-step explanation:

6 0
3 years ago
Find the sum of (4x^3+2x) + (8x^3+4)
Savatey [412]
The answer would be 12x^3+ 2x + 4
5 0
3 years ago
If a kid was playing for 4 hours and he did 9 activitys how much time did each activity take
nadezda [96]

Answer:

26.6667 minutes or 0.444 hours per activity.

Step-by-step explanation:

If he spent an equal amount of time on each activity, then it would have to be divided equally: 4hours/9

In minutes:

4 x 60 = 240 minutes

240/9

26.6667 minutes per activity.

In Hours:

4/9

0.444 hours per activity.

3 0
3 years ago
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