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Lorico [155]
3 years ago
8

ASAP plzzzz help I need answerssss

Mathematics
1 answer:
fiasKO [112]3 years ago
3 0
A] David's speed during the period:
i] AB
speed=distance/time
time taken between AB=0.5 hours
distance=20 km
thus
speed=20/0.5=40 km/h

ii]BC
time taken between BC=1.5 hours
distance=20
speed=20/1.5=13 1/3 km/h


b] Average speed for the entire time will be:
average speed=(total distance)/(total time)
total distance=(20+20+20)=60 km
total time=3 hours
thus
average speed=60/3=20 km/h


c] David's distance 2 hours and 15 minutes from the starting point was:
 distance=20+20+10=50 km
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Determine the astm grain size number if 33 grains per square inch are measured at a magnification of 270×
strojnjashka [21]
8.9

The equation for the grain size is expressed as the equality:
Nm(M/100)^2 = 2^(n-1)
where
Nm = number of grains per square inch at magnification M.
M = Magnification
n = ASTM grain size number

Let's solve for n, then substitute the known values and calculate.
Nm(M/100)^2 = 2^(n-1)

log(Nm(M/100)^2) = log(2^(n-1))
log(Nm) + 2*log(M/100) = (n-1) * log(2)
(log(Nm) + 2*log(M/100))/log(2) = n-1
(log(Nm) + 2*log(M/100))/log(2) + 1 = n

(log(33) + 2*log(270/100))/log(2) + 1 = n
(1.51851394 + 2*0.431363764)/0.301029996 + 1 = n
(1.51851394 + 0.862727528)/0.301029996 + 1 = n
2.381241468/0.301029996 + 1 = n
7.910312934 + 1 = n
8.910312934 = n

So the ASTM grain size number is 8.9

If you want to calculate the number of grains per square inch, you'd use the
same formula with M equal to 1. So:
Nm(M/100)^2 = 2^(n-1)
Nm(1/100)^2 = 2^(8.9-1)
Nm(1/10000) = 2^7.9
Nm(1/10000) = 238.8564458
Nm = 2388564.458

Or about 2,400,000 grains per square inch.
7 0
3 years ago
Given g(x) = 10x + 2, find x when g(x) = 2.
Elan Coil [88]

Answer:

x=0    

Step-by-step explanation:

We are given:

g(x) =10x +2

and

g(x)=2

g(x) is equal to both 10x+2 and 2. Therefore, by substitution, we can set them equal to each other

10x+2=2

Now, we need to solve for x. First, move all the numbers to the same side. Subtract 2 from both sides

10x+2-2=2-2

10x=0

To solve for x, we have to get x by itself. x and 10 are being multiplied. To get x alone, divide both sides by 10.

10x/10=0/10

x=0

8 0
3 years ago
BRAINLIEST IF CORRECT PLEASE USE WORK!
ladessa [460]

Answer:


To find the x-intercept, substitute in  0  for  y  and solve for  x . To find the y-intercept, substitute in  0  for  x  and solve for  y .

x-intercept: (− 45 , 0 )

y-intercept:  ( 0 , − 15 )

7 0
3 years ago
Read 2 more answers
Mr. Park paid $85.00 for 4 shirts. Each shirt cost the same amount. What was the cost of each shirt in dollars and cents?​
yaroslaw [1]

Answer:

I think you're supposed to do 85/4

Step-by-step explanation:

85 devided by 4

$21.25 for each shirt

5 0
3 years ago
Use the image from problem 11 to answer this problem.
guajiro [1.7K]

Answer:

34.

Step-by-step explanation:

All angles of a triangle combined equal 180, so if 1 angle measures 146, subtract 146 from 180. 180-146=34

4 0
2 years ago
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