Answer:
<em>x = 12 ; m∠R = 130° </em>
Step-by-step explanation:
(6x - 22)° + (8x + 34)° = 180°
6x - 22 + 8x + 34 = 180
14x + 12 = 180
14x = 168
<em>x = 12</em>
m∠R = (8x + 34)° = (96 + 34)° = 130°
<em>m∠R = 130°</em>
Answer:
x = 8/3
Step-by-step explanation:
y = 0
0 = x3 - 8
......
The equation of a line is y=-1/4x-7, (option 1)
<h3>
What is the equation of a line? </h3>
A straight line's general equation is y = mx + c, where m denotes the gradient and y = c denotes the point at which the line crosses the y-axis.
<h3>
How do you find the equation of a line?</h3>
Write the equation in the form y = mx + b to find the slope m and the y-intercept. This will allow you to graph the equation using the slope and y-intercept.
Given:-
Equation of the line is y=4x+8
The point through which the line passes (-8,4).
here the slope of the line is m1=4
To find the perpendicular line we know the formula
m1*m2=-1
By putting the value of m1 we get m2= -1/4
By using the one-point formula of the line we have
=>(y-y1)=m2*(x-x1)
By putting the values of y1 and x1 we get
(y1,x1)=(-8,4)
=>(y+8)=-0.25*(x-4)
y+0.25x+7=0
Hence the desired equation of the line is y=-1/4x-7
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Answer: 32w
Step-by-step explanation:
Answer:
C. 32,768
Step-by-step explanation:
Step 1
Convert the number of hours to minutes
2.5 hours to minutes = 2 hrs 30 minutes to minutes is calculated as
1 hour = 60 minutes
2 hours 30 minutes =
Cross multiply
(60 minutes × 2 hours) + 30 minutes = 150 minutes.
Step 2
We are told in the question that the bacteria population doubles every 10 minute interval
Find the number of intervals in 150 minutes
= 150 minutes / 10 minutes interval
= 15 intervals
Step 3
The number of bacteria present after 2.5 hours is calculated using the formula of
= Amount of bacterium × 2ⁿ
Where n = number of intervals = 15
Amount of bacterium = single bacterium = 1
Number of bacteria = 1 × 2¹⁵
= 32,768
Therefore, when you start with a single bacterium in a petri dish, the number of bacteria that will there be in 2.5 hours is 32,768