She needs to be able to run 7.7 more miles a day.
In order to find this amount, we need to start by taking the amount she wants to run and subtracting what she is already able to. She wants to run 26.2 miles and can already run 18.5 miles.
26.2 - 18.5 = 7.7 miles
Answer:
Step-by-step explanation:
(x + 2)² = (x - 1)(x + 14)
x² + 4x + 4 = x² + 13x - 14
-9x = -18
x = 2
Answer:
The base of the exponential function is 0.5 which is between 0 and 1 and thus this is an exponential decay function.
Step-by-step explanation:
Exponential equations are usually in the form;

where;
a is the initial value, that is the value of y when x is 0,
b is the growth or decay factor and also the base of the exponential function
If b>1, then it is an exponential growth function and the values of y keep getting bigger.
if 0<b<1, then it is an exponential decay function and the y values keep getting smaller as x increases.
In the function given;

The base of the exponential function is 0.5 which is between 0 and 1 and thus this is an exponential decay function.
In order to justify our prediction, we can simply obtain the graph of the function and check on how x and y vary.
From the attachment below we can see that the values of y become increasingly smaller as the values of x increases in magnitude which justifies our predictions.
Answer:

Step-by-step explanation:
Given the right angled triangle, ∆BCD, you are required to find the measure of angle C.
Apply the trigonometric ratio formula to find m < C.
Adjacent side = 7
Hypotenuse = 8
Trigonometric ratio formula to apply would be:




(To nearest tenth)
Yes you do. Place all of the numbers, even repeating ones, in order from slammers to largest and then start crossing out from both sides until you get the middle. For example, in the problem below the median would be 4 bc it’s in the middle
1,2,2,3,4,6,6,7,8