Answer:
A linear function is represented
Step-by-step explanation:
The table is:
x f(x)
0 10.00
1 10.02
2 10.04
3 10.06
4 10.08
5 10.10
If we compute the difference between two consecutive function values and we divide it by the difference between their associated x values we get:
(10.02 - 10.00)/(1-0) = 0.02
(10.04 - 10.02)/(2-1) = 0.02
(10.06 - 10.04)/(3-2) = 0.02
(10.08 - 10.06)/(4-3) = 0.02
(10.10 - 10.08)/(5-4) = 0.02
This constant result indicates that a linear function is represented.
The next two term is 13 and 16 respectively.
Step-by-step explanation:
here,
a1 = -2
a2 = 1
a3 = 4
a4 = 7
a5 = 10
So, d = <u>a2 - a1</u> = 1 - (-2) = 3
= <u>a3 - a2</u> = 4 - 1 = 3
Here, <u>Common difference</u> is <u>same everywhere</u> and the value of d is 3
Then,
<em>To find 6th term of this sequence</em>
<u>a6 = a5 + d</u>
= 10 + 3
a6 = 13
<em>To find </em><em>7</em><em>t</em><em>h term of this sequence</em>
<u>a7 = a6 + d</u>
= 13 + 3
a7 = 16
Thus, The next two term is 13 and 16 respectively.
-<u>T</u><u>h</u><u>e</u><u>U</u><u>n</u><u>k</u><u>n</u><u>o</u><u>w</u><u>n</u><u>S</u><u>c</u><u>i</u><u>e</u><u>n</u><u>t</u><u>i</u><u>s</u><u>t</u>
A quadratic has a squared term...causing the shape of a parabola, a U shape because both positive and negative x's squared end up being the same number. real world situation a quadratic could be used to track the height of a launched object. An exponential has the variable in the exponent, causing the y to grow or decay increasingly quickly or increasing slowly real world example: banks use interest, over months or years.Each time the interest is applied, it is applied to a new and bigger total
Newton's Law of Cooling
Tf=Ts+(Ti-Ts)e^(-kt) where Tf is temp at time t, Ts is temp of surroundings, Ti is temp of object/fluid. So we need to find k first.
200=68+(210-68)e^(-10k)
132=142e^(-10k)
132/142=e^(-10k)
ln(132/142)=-10k
k=-ln(132/142)/10
k≈0.0073 so
T(t)=68+142e^(-0.0073t) so how long until it reaches 180°?
180=68+142e^(-0.0073t)
112=142e^(-0.0073t)
112/142=e^(-0.0073t)
ln(112/142)=-0.0073t
t= -ln(112/142)/(0.0073)
t≈32.51 minutes
The third graph represents the data because the values in the table are identical to the ones plotted on that graph.
