Answer:
The percent error in his estimate is<u> 16.67%</u>.
Step-by-step explanation:
Given:
Christopher estimates it will take him half an hour to complete his math homework.
He is able to complete it in 25 minutes.
Now, to find the percent error in his estimate.
Time estimates of completing homework = 30 minutes.
Time actual taken to complete homework = 25 minutes.
Error in estimate = Time estimates of completing homework - Time actual taken to complete homework.
Error in estimate = 30 minutes - 25 minutes.
Error in estimate = 5 minutes.
Now, to get the percent error:




Therefore, the percent error in his estimate is 16.67%.
Answer:
Step-by-step explanation:
<u>The transformations include:</u>
This is a dilation by a scale factor of 3 and then translation 2 units left and 2 units up.
<u>The transformation applied to the point U:</u>
- U(-4,2) → U'(-4*3 - 2, 2*3 + 2) = U'(-14, 8)
Answer:
<h2><em><u>x</u></em><em><u> </u></em><em><u>=</u></em><em><u> </u></em><em><u>5</u></em></h2>
Step-by-step explanation:
<em><u>Given</u></em><em><u>,</u></em>
Perimeter of a triangle = 75
One side of the triangle = 5x
<em><u>Therefore</u></em><em><u>, </u></em>
<em><u>By</u></em><em><u> </u></em><em><u>the</u></em><em><u> </u></em><em><u>problem</u></em><em><u>, </u></em>
5x + 5x + 5x = 75
=> 15x = 75
=> x = 75/15
=> <em><u>x</u></em><em><u> </u></em><em><u>=</u></em><em><u> </u></em><em><u>5</u></em><em><u> </u></em><em><u>(</u></em><em><u>Ans</u></em><em><u>)</u></em>
From the given options we can think that x is
in the exponent of 3.
So, the given function is actually f(x) = 3^x +9
Now, we need to find the range of given
function.
We can see that first term is and exponential
term 3^x and second term is 9
We know that 3^x will always be greater than
O.
Therefore, 3^x +9 would always be greater
than 9.
Therefore, range would be y>9.
So, the correct option is B) (y | y > 9}.
To find the difference in weights from two years ago, you will need to combine the 2 differences from the two years.
-1.56 and 0.73 becomes -1.56 + 0.73.
To add a positive and a negative number you will subtract the absolute values of the numbers AND use the sign of the number with the bigger absolute value (negative) in your answer.
|-1.56| - |0.73|
1.56 - 0.73 = 0.83
-0.83
The cat lost 0.83 (-0.83) pounds over 2 years.