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uranmaximum [27]

3 years ago

11

Match the mathematicians to their descriptions. Tiles regarded as the father of geometry Thales a Greek philosopher who contribu

ted to five theorems of elementary geometry Hippocrates a mathematician who compiled basic geometric facts, or elements, into a textbook Pythagoras a Greek geometer who has a theorem named after him Euclid

2 answers:

Tom [10]3 years ago

4 0

Tiles = greek philosopher who contributed to 5 theorems of elementry geometry
Elucid = regarded as the father of geometry
Hippocrates = a mathematician who compiled basic geometric facts, or elements, into a textbook
Pythagoras = greek geometrer who has a theorem named after him

Serga [27]3 years ago

4 0

Answer:

Step-by-step explanation:

Tiles = greek philosopher who contributed to 5 theorems of elementry geometry

Elucid = regarded as the father of geometry

Hippocrates = a mathematician who compiled basic geometric facts, or elements, into a textbook

Pythagoras = greek geometrer who has a theorem named after him.

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Which rule would best describes this pattern 8,4,10,6,12,8,14

irinina [24]

Answer:

Subtract 4 and then add 6.

Step-by-step explanation:

8-4=4

4+6=10

10-4=6

6+6=12

12-4=8

8+6=14

The rule for this pattern can be subtracting 4, and then adding 6.

3 0

3 years ago

The liquid base of an ice cream has an initial temperature of 86°C before it is placed in a freezer with a constant temperature

Karolina [17]

The temperature of the ice cream 2 hours after it was placed in the freezer is 37.40 °C

From Newton's law of cooling, we have that

$T_{(t)}= T_{s}+(T_{0} - T_{s})e^{kt}$

Where

$(t) = \ time$

$T_{(t)} = \ the \ temperature \ of \ the \ body \ at \ time \ (t)$

$T_{s} = Surrounding \ temperature$

$T_{0} = Initial \ temperature \ of \ the \ body$

$k = constant$

From the question,

$T_{0} = 86 ^{o}C$

$T_{s} = -20 ^{o}C$

∴ $T_{0} - T_{s} = 86^{o}C - -20^{o}C = 86^{o}C +20^{o}C$

$T_{0} - T_{s} = 106^{o} C$

Therefore, the equation $T_{(t)}= T_{s}+(T_{0} - T_{s})e^{kt}$ becomes

$T_{(t)}=-20+106 e^{kt}$

Also, from the question

After 1 hour, the temperature of the ice-cream base has decreased to 58°C.

That is,

At time $t = 1 \ hour$ , $T_{(t)} = 58^{o}C$

Then, we can write that

$T_{(1)}=58 = -20+106 e^{k(1)}$

Then, we get

$58 = -20+106 e^{k(1)}$

Now, solve for $k$

First collect like terms

$58 +20 = 106 e^{k}$

$78 =106 e^{k}$

Then,

$e^{k} = \frac{78}{106}$

$e^{k} = 0.735849$

Now, take the natural log of both sides

$ln(e^{k}) =ln( 0.735849)$

$k = -0.30673$

This is the value of the constant $k$

Now, for the temperature of the ice cream 2 hours after it was placed in the freezer, that is, at $t = 2 \ hours$

From

$T_{(t)}=-20+106 e^{kt}$

Then

$T_{(2)}=-20+106 e^{(-0.30673 \times 2)}$

$T_{(2)}=-20+106 e^{-0.61346}$

$T_{(2)}=-20+106\times 0.5414741237$

$T_{(2)}=-20+57.396257$

$T_{(2)}=37.396257 \ ^{o}C$

$T_{(2)} \approxeq 37.40 \ ^{o}C$

Hence, the temperature of the ice cream 2 hours after it was placed in the freezer is 37.40 °C

Learn more here: brainly.com/question/11689670

6 0

2 years ago

Read 2 more answers

Hannah buys 3 pairs of shoes for $x each. She uses a $10 off coupon. She

iogann1982 [59]

Answer:

$15 per pair

Step-by-step explanation:

We know that the total amount of money she spent on the shoes (without discount) is 3x. Since she used a $10 off coupon, the money she spent is 3x - 10, since $10 off means - 10. And this amount equals $35:

$3x - 10 = 35\\3x = 45\\x = 45/3 \\x = 15$

Please mark Brainliest

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3 0

3 years ago

Read 2 more answers

Which sequence below represents an exponential sequence A.) {2,6,10,14,18,...} B.) {3,5,9,16,24,...} C.) {4,8,24,96,...} D.) {25

denis-greek [22]

Answer:

D.) {256,64,16,4,...}

Step-by-step explanation:

Look for the sequence in which adjacent terms are related by a common ratio.

A. 10/6 ≠ 6/2

B. 9/5 ≠ 5/3

C. 8/4 ≠ 24/8

D. 64/256 = 16/64 = 4/16 = 1/4 . . . . this exponential sequence has a common ratio of 1/4

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3 years ago

Number 31 how much is the postage for a 75 ounce package

brilliants [131]

75 oz package

10ozs at .25

leaves you with 65oz at .30, so 7x.30 = 2.10

2.10 + .25 = 2.35

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3 years ago