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asambeis [7]
3 years ago
13

Can someone help me solve this? I keep getting stuck

Mathematics
1 answer:
astra-53 [7]3 years ago
7 0
I can't imagine why the variable in the exponent isn't 'n'.
To me, that's the only way this makes sense, and I'm
going to handle it as if the exponent is  (n - 1) .

First term:  n = 1

A(1) = -2 · 5¹⁻¹  =  -2 · 5⁰  =  -2 · 1  =  -2 .

Fourth term:  n = 4

A(4)  =  -2 · 5⁴⁻¹  =  -2 · 5³  =  -2 · 125  =  -250 .

Eighth term:  n = 8

A(8)  =  -2 · 5⁸⁻¹  =  -2 · 5⁷  =  -2 · 78,125  =   -156,250 .

The first choice on the list looks like the correct one.
You might be interested in
What is the least common multiple of 3, 10, and 15?
Snowcat [4.5K]

Answer:

30

Step-by-step explanation:

30/3 = 10

30/10 = 3

30/15 = 2

Hope this helps!

7 0
3 years ago
A certain forest covers an area of 2,000 square kilometers. Suppose that each year this area decreases by 6%. What is the functi
Trava [24]

The question gives you the formula to use, but it's printed wrong.
The 'x' is an exponent after the (1 + r).

All you have to do is take the formula, and write the numbers into it
that are also given.

The key thing to spot is that the forest is <u><em>decreasing</em></u>, so the 'r' is <u>negative</u>,
just as if you had money in a savings account and every year the bank took
6% <u>out</u> of it.

So the formula to use is       f(x)  =  P (1 + r) ^x

P = 2000
r = -0.06
                        f(x)  =  2000 (1 - 0.06)^x
                               =  <em>2000 (0.94)^x</em>

The amount left after 12 years is
        
                                   2000 (0.94)¹² =

                                   2000 (0.476)  =<em>  951.8 square kilometers</em>.
                  
8 0
3 years ago
Read 2 more answers
Let s be the sum of all digits used in writing all numbers from 1 to 1010.find s
Sophie [7]
We know, s = n/2 [a + l ]
Here, n = 1010
a = 1
l = 1010

Substitute their values, 
s = 1010/2 [1 + 1010]
s = 505 [ 1011]
s = 510555

In short, Your Answer would be 5,10,555

Hope this helps!
6 0
3 years ago
Ships A and B are 1,425 feet apart and detect a submarine below them. The angle of depression from ship A to the submarine is 59
andreyandreev [35.5K]

Answer: The distance from ship B to the submarine is 1270.68 feet and the distance from ship A to the submarine is 1084.18 feet.

Step-by-step explanation:

Since we have given that

Distance between Ships A and B = 1425 feet

Angle of depression from ship A to the submarine =59°

Angle of depression from ship B to the submarine = 47°

As shown in the figure below:

Remaining angle will be

180\textdegree-(47\textdegree+59\textdegree)\\\\=180\textdegree-106\textdegree\\\\=74\textdegree

So, we will use "Sine formula ":

\frac{\sin 74\textdegree}{1425}=\frac{\sin 59\textdegree}{B}\\\\B=\frac{1425\times \sin 59\textdegree}{\sin 74\textdegree}\\\\B=1270.68\ feet

Similarly,

\frac{\sin 74\textdegree}{1425}=\frac{\sin 47\textdegree}{A}\\\\A=\frac{1425\times \sin 47\textdegree}{\sin 74\textdegree}\\\\A=1084.18\ feet

Hence, the distance from ship B to the submarine is 1270.68 feet and the distance from ship A to the submarine is 1084.18 feet.

4 0
3 years ago
Read 2 more answers
How is the graph of y=2x^2+3 different from the graph of y=x^2-9x+20 shown below?
Pepsi [2]

Answer:

○ The graph of y = -2x² + 3 opens downward and is shifted up.

Step-by-step explanation:

According to the Quadratic Equation, <em>y = Ax² + Bx + C</em>, <em>C</em><em> </em>acts<em> </em>like a y-intercept, and in this case, since both graphs shift up [because both are positive values], we do not pay attention to those. Now, we come over to our <em>A</em>, which makes a BIG difference because both graphs open in opposite directions [one negative, one positive]. With this being stated, we have our answer.

If you are ever in need of assistance, do not hesitate to let me know by subscribing to my You-Tube channel [USERNAME: MATHEMATICS WIZARD], and as always, I am joyous to assist anyone at any time.

** Extended information on Parabolas

Opens down → -A

Opens up → A

5 0
3 years ago
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