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vekshin1
3 years ago
6

SOMEONE PLEASE HELP ASAP

Mathematics
2 answers:
Ann [662]3 years ago
7 0
Try this solution:
0.2; 0.2*(-0.3); 0.2*(-0.3)*(-0.3); 0.2*(-0.3)*(-0.3)*(-0.3);... etc.
if the first term of this sequence is n=1, then only 'C' is the right answer: 
a_n=0.2*(-0.3)^{n-1}.
harina [27]3 years ago
7 0
The explicit formula for a Geometric Series can be written as:

a_{n}= a_{1}(r)^{n-1}

Here, a_{1}=First Term = 0.2

r = Common Ratio = - 0.06/0.2 = -0.3

Using these value in above formula, we can write the explicit formula of the sequence as:a_{n}=0.2(-0.3)^{n-1}

So, option C gives the correct answer

 
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How to find an exponential function with two points?
BabaBlast [244]
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6 0
3 years ago
Cherie is jogging around a circular track. She
skelet666 [1.2K]

Answer:

Measure of minor angle JOG is 95.5^{\circ}

Step-by-step explanation:

Consider a circular track of radius 120 yards. Assume that Cherie starts from point J and runs 200 yards up to point G.  

\therefore m JG = 200 yards, JO=120 yards.  

Now the measure of minor arc is same as measure of central angle. Therefore minor angle is the central angle \angle JOG = \theta.

To calculate the central angle, use the arc length formula as follows.  

Arc\:Length\left(s\right) = r\:\theta  

Where \theta is measured in radian.

Substituting the value,

200=120\:\theta  

Dividing both side by 120,

\dfrac{200}{120}=\theta  

Reducing the fraction into lowest form by dividing numerator and denominator by 40.

\therefore \dfrac{5}{3}=\theta  

Therefore value of central angle is \angle JOG = \theta=\left(\dfrac{5}{3}\right)^{c}, since angle is in radian

Now convert radian into degree by using following formula,

1^{c}=\left(\dfrac{180}{\pi}\right)^{\circ}

So multiplying \theta with \left(\dfrac{180}{\pi}\right)^{\circ} to convert it into degree.

\left(\dfrac{5}{3}\right)^{c}=\left(\dfrac{5}{3}\right) \times \left(\dfrac{180}{\pi}\right)^{\circ}

Simplifying,

\therefore \theta = 95.49^{circ}

So to nearest tenth, \angle JOG=95.5^{circ}

8 0
3 years ago
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