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erik [133]
2 years ago
11

prove that the sum of two consecutive exponents of the number 5 is divisible by 30. If N ia the smaller of two consecutive expon

ents, then the sum of two consecutive exponents of 5 is equal to _ *30, and therefore is divisible by 30.
Mathematics
1 answer:
kotykmax [81]2 years ago
3 0

Answer:

5^n-1

Step-by-step explanation:

5^n-1*30

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A cosmetics company decides to compare its new nail polish product, Bella, with three other nail polish brands: Primrose, Shine,
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Answer=B
The explanatory variable is another term for the independent variable. The independent variable is the 'thing' that YOU decide to change/manipulate in an experiment. The type of nail polish given was the independent variable for this experiment. 
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3 years ago
Solve with solution...no spam answers pls
Agata [3.3K]
<span>Let's analyze Hannah's work, step-by-step, to see if she made any mistakes. 

</span>In Step 1, Hannah wrote \dfrac{d}{dx} (-3+8x) <span> as the sum of two separate derivatives </span>\dfrac{d}{dx}(-3)+ \dfrac{d}{dx} (8x) <span>using the </span><span>sum rule.
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This step is perfectly fine. 

In Step 2, \dfrac{d}{dx}(8x) was kept as it is, and \dfrac{d}{dx}(-3) was rewritten as 0 using the constant rule.Indeed, according to the constant rule, the derivative of a constant number is equal to zero.

This step is perfectly fine. 

In Step 3, \dfrac{d}{dx} (8x)  was rewritten as \dfrac{d}{dx}(8) \dfrac{d}{dx}(x) supposedly using the constant multiple rule.

The problem is that according to the constant multiple rule, \dfrac{d}{dx}(8x)&#10; should be rewritten as 8 \dfrac{d}{dx}(x) and not as \dfrac{d}{dx}(8)\dfrac{d}{dx}(x).  

<span>Therefore, Hannah made a mistake in this step.</span>
6 0
3 years ago
Read 2 more answers
Describe how to compare the two ratios 5:8 to 7:9. Tell each step to set up the ratios, then explain what to do to be able to co
lutik1710 [3]

Answer:

5/8 is smaller.

Step-by-step explanation:

A ratio is just a different type of fraction, a 5:8 ratio means 5/8 which is 0.625. A 7:9 ratio equals 7/9 which is 0.777777

Then to compare them you see which is smaller or bigger.

0.77777  is bigger than 0.625 so we know that 0.77777777 which was the 7:9 ratio is the bigger one.

3 0
2 years ago
Read 2 more answers
I need help, do I have these pink dots in the right place?
irakobra [83]

Answer:

no, you actually don't.

Step-by-step explanation:

remember: x is how many to the left, and y is how many to the top.

reposition the dots and I will see if it is right the 2nd time.

hope this helped!

6 0
2 years ago
Read 2 more answers
WILL MARK BRAINLIEST!!! NEED THIS ASAP!!
DiKsa [7]
Let's solve this problem step-by-step.

STEP-BY-STEP SOLUTION:

We will be using Pythagoras theorem to solve this problem. This is as this problem forms a right-angle triangle. Pythagoras theorem is the following:

a^2 + b^2 = c^2

Where c = hypotenuse of right-angle triangle

Where a and b = other two sides of right-angle triangle

To begin with, we will substitute the values from the problem into the equation. Then we will make the height of the tree the subject of the equation.

a = height of tree = ?

b = distance from the bird on the ground to the base of the tree = 8 metres

c = distance bird travelled from the ground to the top of the tree = 9 metres

a^2 + b^2 = c^2

a^2 + 8^2 = 9^2

a^2 = 9^2 - 8^2

a = square root of ( 9^2 - 8^2 )

a = square root of ( 81 - 64 )

a = square root of ( 17 )

a = 4.123...

a = 4.1 ( rounded to the nearest tenth )

FINAL ANSWER:

Therefore, the height of the tree is 4.1 metres ( rounded to the nearest tenth ).

Hope this helps! :)
Have a lovely day! <3
3 0
3 years ago
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