2 years ago

Which of the following is considered one of the undefined terms of geometry?

Mathematics

1 answer:

cupoosta [38]2 years ago

7 0

The answer is a line segment

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If a cup of coffee has temperature 97Â°C in a room where the ambient air temperature is 25Â°C, then, according to Newton's Law o

FinnZ [79.3K]

Answer:

The average temperature is $T_{a} = 81.95^oC$

Step-by-step explanation:

From the question we are told that

The temperature of the coffee after time t is $T(t) = 25 + 72 e^{[-\frac{t}{45} ]}$

Now the average temperature during the first 22 minutes i.e fro $0 \to 22$ minutes is mathematically evaluated as

$T_{a} = \frac{1}{22-0} \int\limits^{22}_{0} {25 +72 e^{[-\frac{t}{45} ]}} \, dx$

$T_{a} = \frac{1}{22} [25 t + 72 [\frac{e^{[-\frac{t}{45} ]}}{-\frac{1}{45} } ] ] \left| 22} \atop {0}} \right.$

$T_{a} = \frac{1}{22} [25 t - 3240e^{[-\frac{t}{45} ]} ] \left | 45} \atop {{0}} \right.$

$T_{a} = \frac{1}{22} [25 (22) - 3240e^{[-\frac{22}{45} ]} - (- 3240e^{0} )]$

$T_{a} = \frac{1}{22} [550 - 1987.12 + 3240]$

$T_{a} = 81.95^oC$

8 0

2 years ago

Bob is selling floral arrangements. Each arrangement uses 1 vase and 15 tulips. Each vase costs Bob $4.00. Let C be the total co

SCORPION-xisa [38]

Y=t(15)+4 Is what I think this word problem would be written in Slope-intercept form.

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3 years ago

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Two fish were swimming in a lake trying to catch a fish. The red fish started out 12 feet below the surface. It then descended 2

lara [203]

The red fish is 34 feet underwater... in otherwords -34
The blue fish is 21 feet underwater... -21

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3 years ago

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Point J is on line segment IK. Given JK = 2x - 1,IK = 3x + 2, and IJ = 3x - 5, determine the numerical length of JK. Answer: JK

stiks02 [169]

Answer:

Step-by-step explanation:

set up the equation: JK+IJ=IK

(2x-1)+(3x-5)=(3x+2)

calculate the equation and you will get x=4

put 4 into JK

2(4)-1=7

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2 years ago

<img src="https://tex.z-dn.net/?f=%287%20%2B%203%29%20%5Ctimes%20510" id="TexFormula1" title="(7 + 3) \times 510" alt="(7 + 3) \

notsponge [240]

Answer is 5100
510(3) = 1530
510(7)=3570
Add them together

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2 years ago

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