Answer: Only the second image
Step-by-step explanation:
The percent change if a city that used to produce 2050 kilowatt hours has reduced their consumption to 1125 kilowatt hours is 45.122% decrease.
<h3>What is percentage change?</h3>
Percent increase and percent decrease are measures of percent change, which is the extent to which a variable gains or loses intensity, magnitude, extent, or value.
we know,
% change = (final- initial) / initial * 100
=(1125-2050)/1125 *100
=45.122%
Hence, percentage change be 45.122% decrease.
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Answer:
Y=1.25x+3.50
Step-by-step explanation:
The problem is linear so it uses y=ax+b form. In this we can set the left group as x and the right group as y. Then use
(y2-y1) / (x2-x1) to find the slope. once the slope is found (1.25) we can find the y intercept by using one of our coordinates with our equation y-ax=b
12.25-1.25*7=b
b=3.5
now we put them all together to make
Y=1.25x+3.50
The explicit formula for this geometric sequence 81, 27, 9, 3, … is aₙ = 81(1/3)ⁿ⁻¹. It has common ratio of 1/3 and first term of 81.
<h3>What is an
equation?</h3>
An equation is an expression that shows the relationship between two or more variables and numbers.
A geometric sequence is in the form aₙ = ar⁽ⁿ⁻¹⁾, where a is the first term and r is the common ratio.
The geometric sequence 81, 27, 9, 3, … has common ratio:
r = 27/81 = 1/3
The explicit formula for this geometric sequence 81, 27, 9, 3, … is aₙ = 81(1/3)ⁿ⁻¹. It has common ratio of 1/3 and first term of 81.
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Answer:
c=11.180
Step-by-step explanation:
formula to find the hypotenuse (c)= a^2+b^2=c^2
so... 10^2+5^2=c^2, please correct me if I'm incorrect, or made a mistake
100+25=c^2
125=c^2
square it and you get...
c=11.18033988...
c=11.180