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labwork [276]
3 years ago
7

The temperature of a cup of coffee t minutes after it has been poured is described by the function C(t) = 20 + 60(0.95)^t . a. H

ow many minutes does it take for the coffee to cool to a temperature of d degrees? b. About how fast is the temperature dropping when t = 1?
Mathematics
1 answer:
scoundrel [369]3 years ago
4 0
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>
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Given the speeds of each runner below, determine who runs the fastest.
uranmaximum [27]

Answer:

Liz

Step-by-step explanation:

lets make all speeds ft/1sec

Ron 8ft/1sec

Liz 104ft/7sec : 104/7=

14.8571428571 ft/1 sec

Katie

1 mile = 5280ft

5280ft/526sec

5280/526=

10.0380228137ft/1 sec

Emily,

1 min= 60 sec

835ft/60 sec

835/60=

13.9166666667 ft/sec

now, lets order from least to greatest

R:8ft/1sec, K:10.0380228137ft/1 sec,

E:13.9166666667 ft/sec, L:14.8571428571 ft/1 sec

Liz's speed is fastest

4 0
3 years ago
Another easy question need fast please
Tresset [83]

Answer:

30.25

Step-by-step explanation:

All angles of a line must add up to 180. Since we already know that one angle is 90 degrees, we know that the other angles should add up to 90 degrees in order for all of the angles to add up to 180 degrees:

(3x-7)+(x+8)=90

4x+1=90

4x=89

x=22.25

22.25+8= 30.25

3 0
3 years ago
Combine like terms to simplify the expression: 7x + 3y - 2 + 6x + 1 + y^2
a_sh-v [17]

The correct answer is B because after you simplifiy the expression, you would  get that answer:

7x + 3y - 2 + 6x + 1 + y^2

combine all the like terms to one side first

7x + 6x - 2 + 1 + y^2

then simplify

13x - 1 + y^2 or  y^2 + 3y + 13x - 1

8 0
3 years ago
The hypotenuse of a right triangle is 4 times the smallest side. The third side is 4√15 cm. Find the length of the smallest side
Brums [2.3K]

Answer:

x=4 cm

Step-by-step explanation:

x=smallest side

4x=hypotenuse

4√15=third side

use the Pythagorean Theorem

(4x)^2=x^2+(4√15)^2

16x^2=x^2+240

16x^2-x^2=240

15x^2=240

x^2=240/15

x^2=16

x=√16

x=4 cm is the smallest side

the hypotenuse is 16 cm

the third side is 4√15 cm

8 0
3 years ago
Read 2 more answers
Find the value of x. please tell fast plzzzz​
charle [14.2K]

Answer:

a) x=60°, 2x=120°

b) x=36°

Step-by-step explanation:

4 0
3 years ago
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