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3 years ago

10

An airplane 30,000 feet above the ground begins descending at a rate of 2,000 feet per minute. Write an equation to model the si

tuation. Find the altitude of the plane after 5 minutes

1 answer:

antiseptic1488 [7]3 years ago

6 0

A = 30,000 - 2000m where A=altitude and m = number of minutes

After 5 minutes A ( altitude) = 30,000 - 2000(5) = 20,000 feet

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Francium has a decay rate of 50% every 22 minutes. How much of an initial amount of 4.8 grams would be left after 88 minutes?

Jlenok [28]

Answer:

0.65g

Step-by-step explanation:

Decay rate = 50%

Decay rate = 0.5

$A = Aoe {}^{ - kt}$

where Ao = initial amount at start, k = rate of decay or growth, t = time, e = euler's number and A = value at time 't'

Ao = 4.8

t = 88/44 = 4

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substitute these values in the equation

$A = 4.8e {}^{ - 0.5 \times 4}$

$A = 0.6496$

$A = 0.65 \: (2dp)$

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3 years ago

a major arranges his soliders in rows to form a perfect square 40 soliders are left out if the total no. of soliders are 6281, f

LUCKY_DIMON [66]

Answer:

79 soldiers

Step-by-step explanation:

Since 40 soldiers were not included in the square, the square consists of 6241 soldiers. 6241 represents the area of the square, and the rows (r) represents a side of the square. Since the area of a square = the length of the side squared, then $6241 = r^{2}$ .

So $r = \sqrt{6241}$

r = 79

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3 years ago

An open box is to be constructed so that the length of the base is 3 times larger than the width of the base. If the cost to con

natta225 [31]

Answer:

Step-by-step explanation:

Let assume that the volume = 88 cubic feet

Then:

$L = 3w --- (1)volume = l \times w \times h \\ \\ 88 = (3w) \times w \times h \\ \\ 3w^2 h= 88 \\ \\ h = \dfrac{88}{3w^2}--- (2) \\ \\$

The construction cost now is:

$C = 4(l \times w) + 2 ( w \times h) + 2(l \times h) \\ \\ C = 4(3w^2) + 2(w \times \dfrac{88}{3w^2}) + 2(3w \times \dfrac{88}{3w^2}) \\\\ C = 12w^2 + \dfrac{176}{3w} + \dfrac{176}{w}$

Now, to determine the minimum cost:

$\dfrac{dC}{dw}= 0 \\ \\ \implies 24 w - \dfrac{176}{3w^2}- \dfrac{176}{w^2}=0 \\ \\ 24 w ^3 = \dfrac{176}{w^2}(\dfrac{1}{3}+1) \\ \\ 24 w ^3 = \dfrac{176(4)}{3} \\ \\ w^3 = \dfrac{88}{3(3)}$

$w = \dfrac{88}{3(3)}^{1/3} \ feet$

Now;

$length = 3 ( \dfrac{88}{3(3)})^{1/3} \ feet$

$height = ( 88})^{1/3} (3)^{1/3} \ feet$

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3 years ago

Point P(-5, 2) is translated using the rule (x+3, y-1). What is the x-coordinate of P' ?

ss7ja [257]

Translate, in math, is just a fancy word for "change" or "move". We're changing (-5, 2) using x + 3 and y - 1. If the x value is -5, what is x + 3?

(-5) + 3 = -2

And for the y - 1?

(2) - 1 = 1.

Your answer is P'(-2, 1)
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</em><em>Don't forget to rate this answer the Brainliest!</em>

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3 years ago

While traveling to Europe, Phelan exchanged 250 US dollars for euros. He spent 150 euros on his trip. After returning to the Uni

dexar [7]

Answer:

$80.63

Step-by-step explanation:

250 USD is equal to 221.41 euros. 221.41-150=71.41. 71.41 euros converted to USD is equal to 80.63 USD.

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3 years ago