The temperature of coffee 10 minutes after it was poured (120 F) will help in solving the constant “a”.
<span>120 = 120(2 ^ 10a) + 60 </span>
<span>2 ^ -1 = 2 ^ 10a </span>
<span>a = -1/10 </span>
<span>The temperature of coffee 30 minutes after it was poured is: </span>
<span>F = 120 ( 2 ^ -30/10) + 60 </span>
<span>F = 120 * 1/ 8 + 60 </span>
<span>F = 15 + 60 </span>
<span>F = 75</span>
Answer:
Step-by-step explanation:
Ok so this is simple
6+7+0=13
3 will be in the ones column and the one would be carried over in the tens column so it would be
1+8+4+7=20
again 0 will be in the tens column and 2 would be carried over in the hundreds column so
2+5+0+6=12
2 in the hundreds column and 1 carried over in the thousands column
1+9+1+7=18
8 in the thousands column and over carried over in the ten thousands column
1+3+4+5=13
13 would be written in the ten thousands column as it is the last one
The total would be
138303
Hope this helps :)
Answer:
x + x + 2
Step-by-step explanation:
cuz if its consecutive odd then its every 2 numbers so if x = 3 then you add two to x
Okay so the equation y two - y one divided by x two - x one will solve this.
what y two means is that you need to plug that in for the second y value. since fractions are in x, y form and you need to start with the second y value,and it would be 3 and following that same idea with y but with the first pair of coordinates it would be 2. so we have done half of this so far by getting 3-2 but we still need to do the same thing we just did BUT for THE X COORDINATES. remember to put the SECOND x coordinate first like we did with the y coordinate. so this portion should be -4 - (-1) all together. never forget if a number has a negative sign! so now the final equation is 3-2 divided by -4 - -1. three minus 2 is 1 and -4 - -1 is -3. now divide your separate answers by each other which is 2 divided by -3 which is -0.666..... you can round that answer or just keep it in fraction form of -2/3 if you’d like.
Answer:
radius = 11.00 yd (to the nearest hundredth)
Step-by-step explanation:
Volume of a cylinder =
, where
= radius and
= height
Therefore, for this problem: volume = 6458.98,
= 3.14,
= 17
Substituting these values into the above formula:
Volume =
,
6458.98 = 3.14 x
x 17
6458.98 = 53.58 x 
= 6458.98 ÷ 53.58 = 121
= √121
= 11
= 11.00 yd (to the nearest hundredth)