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Dovator [93]
2 years ago
10

Without using (10), show directly that (10.6^-1)^8=17.6^-8

Mathematics
1 answer:
blagie [28]2 years ago
3 0
We are given the expression:

(17.6^-1)^8 = 17.6 ^ -8

This means that the two terms on each side are equal. We are asked to show how this is possible. 

First, use the rule of exponents. If a term raised to the power of a number x^n and is further raised to the power m: (x^n)^m, to simplify the expression, multiply n and m and this will be your end exponent = x^nm. 

We can apply this rule here:

17.6^-1 ^ 8

-1 * 8 = -8

then, retain the base and replace the exponent with the product nm:

17.6 ^-8. This proves that the left term is equal to the right term. <span />
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Hi, I’m really confused if anyone could help me out that would mean a lot?:)
marusya05 [52]

Hey there! :)

Answer:

a) 32 sticks.

b) 5n + 2 sticks.

Step-by-step explanation:

Solve this by finding the pattern.

Pattern # 1 = 7 sticks.

Pattern #2 = 12 sticks

Pattern #3 = 17 sticks.

We can see an increase of 5 sticks within each. We can use this to write an equation:

f(n) = 7 + 5(n-1)

***Where n is the term number

You can simplify the equation to become:

f(n) = 7 + 5n - 5

f(n) = 5n + 2.

Use this equation to solve for pattern # 6:

f(6) = 7 + 5(n-1)

f(6) = 7 + 5(5)

f(6) = 7 + 25

f(6) = 32.

6 0
2 years ago
Pleaseee someone help me :( Ive been stuck on this for an hour
Whitepunk [10]

Answer:

The number of times organism B's population is larger than organism A's population after 8 days is 32 times

Step-by-step explanation:

The population of organism A doubles every day, geometrically as follows

a, a·r, a·r²

Where;

r = 2

The population after 5 days, is therefore;

Pₐ₅ = = 32·a

The virus cuts the population in half for three days as follows;

The first of ta·2⁵ he three days = 32/2 = 16·a

The second of the three days = 16/2 = 8·a

After the third day, Pₐ = 8/2 = 8·a

The population growth of organism B is the same as the initial growth of organism A, therefore, the population, P₈ of organism B after 8 days is given as follows;

P₈ =  a·2⁸ = 256·a

Therefore, the number of times organism B's population is larger than organism A's population after 8 days is P₈/Pₐ = 256·a/8·a = 32 times

Which gives, the number of times organism B's population is larger than organism A's population after 8 days is 32 times.

Hope this helps you out! :)

Also, it's OK! This was actually pretty hard to figure out!

6 0
3 years ago
Jenny uses 7/9 gallon of water to water roses
jeka94
<span>2(7/9)-(1/4) = 47/36 = 1 11/36</span>
8 0
2 years ago
1. Which measure is equivalent to 16 quarts?
SIZIF [17.4K]

Step-by-step explanation:

1quart=2pints

16quarts=32pints

8 0
3 years ago
Read 2 more answers
A technician charges P 400 per hour and spends P 500 a day on gasoline. Write an alcat expression to represent his earnings for
Basile [38]

Answer:

y=400*x-500

Step-by-step explanation:

The expression that represents the problem is:

y=400*x-500

Function y represents earnings for one day.

400 is the fixed number that is charge for one hour work

x represents the number of hours that the technician has worked for one day

To find the total earnings you should multiply the fixed charge for one hour work (400) by the number of hours worked in a day.

Then you need to substract the cost of gasoline in a day, it is 500 and it is a constant in the equation since it doesn't depend on the number of hours worked.

So, the function is:

y=400*x-500

4 0
2 years ago
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