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Papessa [141]
3 years ago
12

What are the first three terms of a geometric sequence in which a5= 25 and the common ratio is 5?

Mathematics
1 answer:
shepuryov [24]3 years ago
8 0

Answer:

1/25, 1/5, 1

Step-by-step explanation:

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If it takes 6 hours for a plane to travel 720km with a tail wind and 8 hours to make the return trip with a head wind. Find the
denis-greek [22]

The speed of wind and plane are 105 kmph and 15 kmph respectively.

<u>Solution:</u>

Given, it takes 6 hours for a plane to travel 720 km with a tail wind and 8 hours to make the return trip with a head wind.  

We have to find the air speed of the plane and speed of the wind.

Now, let the speed wind be "a" and speed of aeroplane be "b"

And, we know that, distance = speed x time.

\text { Now, at tail wind } \rightarrow 720=(a+b) \times 6 \rightarrow a+b=\frac{720}{6} \rightarrow a+b=120 \rightarrow(1)

Now at head wind → 720=(a-b) \times 8 \rightarrow a-b=\frac{720}{8} \rightarrow a-b=90 \rightarrow(2)

So, solve (1) and (2) by addition

2a = 210

a = 105

substitute a value in (1) ⇒ 105 + b = 120

⇒ b = 120 – 105 ⇒ b = 15.

Here, relative speed of plane during tail wind is 120 kmph and during head wind is 90 kmph.

Hence, speed of wind and plane are 105 kmph and 15 kmph respectively.

6 0
3 years ago
A medical researcher designs a drug to treat high blood pressure. She believes that people of different genders may respond diff
ELEN [110]

Answer:

hello!

Step-by-step explanation:

I say u can go for option B

hope it helps!

5 0
3 years ago
What is the slope of the line on the graph?
Lelechka [254]

Answer:

5,-1,-7

Step-by-step explanation:

7 0
3 years ago
please explain the steps that are used to solve this??? Given:2(10 -13x)+9=-34x+60 Step 1:20-26x=-34x+60 Step 2:-26x=-34x+40 Ste
solmaris [256]
You left out the 9 in the whole equation. The 1st step you had right you just forgot to put +9. 2nd step you are combining the like terms and get 11-26x=-34x+40. Step 3: you are trying to isolate the x on one of the sides. You need to switch the 11 over to the 40 and get 29. Move -34x over to -26x and get 8x. Step 4 all you are doing in dividing 8 from both sides and get 5.
4 0
3 years ago
Solve the system of equations by substitution. 3/8x + 1/3y = 17/24
VashaNatasha [74]

Answer:

this question is not complete. need another equation

Step-by-step explanation:

give another equation then I can solve

\frac{3}{8} x =  \frac{17}{24}  -  \frac{1}{3} y \\ x =  \frac{17}{9}  -  \frac{8}{9} y

7 0
3 years ago
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