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3 years ago

Please help answer correctly !!!!!!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!!!!

Mathematics

1 answer:

pentagon [3]3 years ago

8 0

Answer:

DH is perpendicular to HG

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3 years ago

A 200-liter tank initially full of water develops a leak at the bottom. Given that 20% of the water leaks out in the first 5 min

Leya [2.2K]

Answer:

127.53 liters left after 10 minutes

Step-by-step explanation:

Let

$A \to Amount$

$t \to time$

Given

$A(0) = 200$ --- initial

$A(5) = 200 * (1 - 20\%) = 160$ --- the amount left, after 5 minutes

Required

$A(10)$ --- amount left after 5 minutes

To do this, we make use of:

$A(t) = A(0) * e^{kt}$

$A(5) = 160$ implies that:

$160 = 200 * e^{k*5}$

Divide both sides by 200

$0.80 = e^{k*5}$

Take natural logarithm of both sides

$\ln(0.80) = \ln(e^{k*5})$

$\ln(0.80) = \ln(e^{5k})$

$\ln(0.80) = 5k\ln(e)$

So, we have:

$-0.223 = 5k$

Divide by 5

$k = -0.045$

So, the function is:

$A(t) = A(0) * e^{kt}$

$A(t) = 200 * e^{-0.045t}$

The amount after 10 minutes is:

$A(10) = 200 * e^{-0.045*10}$

$A(10) = 200 * e^{-0.45}$

$A(10) = 127.53$

3 0

3 years ago

Plan 1 . A flat rate of $7 per month plus $2.50 per video viewed Plan 2. $4 per video viewed What type of functions model this s

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Answer:they are both linear because Their slopes are constant.

Step-by-step explanation:

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4 years ago

Find and correct the error of the following factor.

pshichka [43]

3x² + xy2 – 3xy-y? >> 3x² - xy - y

line 1: = (3x² + xy2)+(-3xy – y?)

ANS 3x² - xy - y 《Correct》

line 2: = x(3x + y2) - y(3x – y2)

ANS 3x² - xy +2y²

line 3: = (x-y) (3x +y?)

ANS 3x² - 2xy - y²

If it incorrect, I'm sorry.

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4 years ago

Linda is making a line plot of the data below.

Phantasy [73]

Answer:

Least: 10.5

Greatest: 14.125

Hope that helps!

Step-by-step explanation:

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4 years ago