Answer:
2,48,000
Step-by-step explanation:
- Initial population of bacteria = 15,500
- Bacteria doubles after every 234 hours
- So, after 0 (zero) hours, no of bacteria = 15,500
- After 234 hours, no. of bacteria = 2(15,500) = 31,000
- After 468 hours, no. of bacteria = 2(31,000) = 62,000 (2*234 = 468)
- After 702 hours, no. of bacteria = 2(62,000) = 124,000 (3*234 = 702)
- After 936 hours, no. of bacteria = 2(124000) = 2,48,000 (4*234 = 936)
34). take the value on the right and subtract the value on the left.
PQ = -52 - -137 = 85
QR = 91 - -52 = 143
36). if M is the midpoint of LN, then M divided the segment in to 2 equal pieces. Thus, LM =LN.
or,. 8(x-2)=4(x+2)
8x-16=4x+8
4x=24
x=6
LM is 32,. LN= 64
Answer:
1 1/8"
Step-by-step explanation:
First, make a common denominator.
1 1/4 = 5/4 * 2/2 = 10/8 = 1 2/8
2 3/8 and 1 2/8
Then, subtract.
2 - 1 = 1
3/8 - 2/8 = 1/8
1 1/8"
The scale factor of the given dilation transformation is calculated as; 1/2
<h3>How to use the scale of dilation?</h3>
We know that from transformation that a dilation is a non - rigid transformation that produces similar figures.
If two lines are similar, then the lines are parallel and parallel lines always have the same slope.
Thus;
Line A has the formula; 2y = x + 8
Writing it in slope intercept form gives us;
y = 0.5x + 4 ------(1)
Thus;
slope of the line A is m = 0.5
y-intercept of the line A is b = 4
Line B has the equation;
y - ¹/₂x = 2
Rearranging in Slope Intercept form gives us;
y = ¹/₂x + 2
Thus;
slope of the line B is m = 0.5
y-intercept of the line B is b = 2
Now, it should be noted that the y-intercept of line A multiplied by the scale factor k must be equal to the y-intercept of line B. Thus;
4k = 2
k = 2/4
k = ¹/₂
Read more about Scale of Dilation at; brainly.com/question/10253650
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1.155 the size is .077 * 15
