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3 years ago

PLEASE HELP ME! 22 POINTS!!!

Mathematics

1 answer:

Y_Kistochka [10]3 years ago

5 0

Answer:

300 sq. cm.

Step-by-step explanation:

Do you need the explanation? If so, I can make one for you. You see, my hand is hurt, and it pains me to type.

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The half-life of cesium-137 is 30 years. Suppose we have a

VMariaS [17]

(a) If $y(t)$ is the mass (in mg) remaining after $t$ years, then $y(t) = y(0) e^{kt}=100e^{kt}.$

$y(30) = 100 e^{30k} = \frac{1}{2}(100) \implies e^{30k} = \frac{1}{2} \implies k = -(\ln 2) /30 \implies \\ \\
y(t) = 100e^{-(\ln 2)t/30} = 100 \cdot 2^{-t/30}$

(b) $y(100) = 100 \cdot 2^{-100/30} \approx \text{9.92 mg}$

(c)
$100 e^{- (\ln 2)t/30} = 1\ \implies\ -(\ln 2) t / 30 = \ln \frac{1}{100}\ \implies\ \\ \\
t = -30 \frac{\ln 0.01}{\ln 2} \approx \text{199.3 years}$

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3 years ago

A triangle has sides of length 2, 2, and 3. Which of the following is the measure of the obtuse angle of the triangle?

kramer

Answer:

$97.18^{\circ}$

Step-by-step explanation:

An obtuse angle in the triangle is opposite to the greatest side. The greatest side in the triangle with sides lengths 2, 2 and 3 is side with length 3. By the cosine rule,

$3^2=2^2+2^2-2\cdot 2\cdot 2\cdot \cos \alpha,\\ \\9=4+4-8\cos \alpha,\\ \\-8\cos \alpha=9-4-4=1,\\ \\\cos \alpha=-\dfrac{1}{8},\\ \\\alpha\approx 97.18^{\circ}.$

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3 years ago

Javier designs leather shoes at his workshop. He charges $45 for women's shoes and $50 for men's shoes. He needs to make $2,500

AVprozaik [17]

X = womens, y = mens

45x + 50y = 2500....if there is no women, then x = 0
45(0) + 50y = 2500
50y = 2500
y = 2500/50
y = 50.....there would be 50 male customers to meet his expenses

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3 years ago

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The GCF of the numbers in the expression (55 + 44) is _____. The numbers left inside the parentheses after factoring out the GCF

Alenkinab [10]

55=5*11
44=4*11
gcf=11

11(5)+11(4)=11(5+4)

the numbers inside are 5 and 4

The GCF of the numbers in the expression (55 + 44) is 11. The numbers left inside the parentheses after factoring out the GCF are 5 and 4.

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3 years ago

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How many different 6-digit PIN codes using only the digits 0-9 are possible?

dexar [7]

840 6 digit pin codes are possible! Please mark brainlest

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3 years ago