Answer:

Step-by-step explanation:
The systems of equations are
Let us assume the rate of the current be c
Now actual speed against the current is (15 - c)
And, the actual speed with the current is (15 + c)
Here we applied the time formula i.e. distance by speed
Also the upstream time - downstream time = 4
Now the equations are

Answer: q³⁰
Explanation:
First just solve the first part using the exponent rules
p²q⁵ becomes 1/p-⁸q-²⁰ then we flip the fraction so the exponents become positive. Now we have p⁸q²⁰.
Before multiplying the other equation, we must simplify. p-⁴q⁵ becomes 1/p⁴q-⁵ and since it's the exponents being raised to a power we simply multiply the inner exponents times the outer exponent which yields 1/p⁸q-¹⁰. We must make q-¹⁰ positive so we will then bring it to the numerator of the fraction which gives us: q¹⁰/p⁸.
Multiply q¹⁰/p⁸ * p⁸q²⁰/1 = p⁸q³⁰/p⁸ divide the p exponents by each other which yields 0 since when u divide exponents you just subtract them so 8 - 8 = 0. Your answer is now q³⁰/1 or just q³⁰
Answer: 28 dots
Step-by-step explanation: In this pattern,
we can see the the first figure is just 1 dot.
The second figure has a new row on the bottom with 2 dots.
The third figure has a new row on the bottom with 3 dots
and the fourth figure has a new row on the bottom with 4 dots.
So continuing with this pattern,
the next figure will have a new row with 5 dots,
the next will have a new row with 6 dots,
and the next will have a new row with 7 dots.
So in the 7th picture, we will have 7 + 6 + 5 + 4 + 3 + 2 + 1 dots.
This simplifies to 28 dots.
Take a look below.
<u>Answer:</u>
The chance that any single department is chosen for auditing in a given week is 0.04%
<u>Explanation:</u>
Given that a department within an agency is randomly chosen per week for auditing and we are given total number of departments are 25 departments of which 1 is to be chosen.
Now chance of any single department to be chosen in any particular week will be given by 1 dividing by total no. of departments
which is equal to 1/25
1/25 = 0.04%
which is the chance of percentage of choosing a department