sinθ = opp. / hyp.
sinθ = 11 cm / 35 cm
sinθ = 0.3142857
θ = 18.31769841°
Therefore, the missing angle is approximately 18°
-5.5x+0.56= -1.64
-0.56 -0.56
-5.5x= -2.2
/5.5 /5.5
x= -0.4 is the answer
The number in the equation that represents the original amount of mice would be 14 since the 0.25x would be representing the rate the mice survive the treatment. As according to the exponential equation formula, y=ab^x, a is the value of the principal amount, b is the variable that represents the growth/decay rate, and the x value shows the amount of times the object/thing grows or decays.
Use the integer rule if the negative sign in bigger than the positive minus but the answers sign should be negative, if they switch sides it doesn’t matter you need to see what value it is and, if you want to minus with a negative you have to plus them and then add the negative sign, if you get something like this (-2- -10) you have to change it to (-2 + 10), it’s a math rule to negatives to gather represents addition.
Answer: Slope of the line given in the table: m = - 0.25
Y-intercept of the line given in the table: b = -4
Slope of the line given by the equation: m = 1.5
Y-intercept of the line given by the equation: b = 1
Step-by-step explanation: <u>Slope</u> of an equation is an indication of the steepness and direction of a linear graph. It is denoted as m and it can be calculated as:
m =
Another way of determining the slope is as the form:
y = mx+b
<u>For the table</u>:
As in the table there are only points:
m =
m = - 0.25
<u>For the function</u>:
The function is:
y = 3/2x + 1
m = 3/2
m = 1.5
<u>Y-intercept</u> is where the linear function crosses the y-axis, or when x=0. It can also be represented by the letter b.
<u>For the table</u>:
y = mx + b
According to the table, when y = -2.5, x = -6
-2.5 = - 0.25. (-6) + b
b = -2.5 - 1.5
b = -4
<u>For the function:</u>
y = 1.5x + 1
b = 1
In conclusion:
- For the table: m = - 0.25 b = - 4
- For the equation: m = 1.5 b = 1