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3 years ago

What is the order pair for x+y=4 and x= -1

Mathematics

1 answer:

ratelena [41]3 years ago

3 0

x+y=4 and x= -1
-1 + y = 4
y = 5

order pair (-1, 5)

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2 years ago

The concentration of dichlorodiphenyltrichloroethane (DDT - an infamous pesticide) in Lake Michigan has been declining exponenti

mojhsa [17]

Answer: A) $y=13e^{-0.1359t}$

B) H = 5.10

C) Yes

Step-by-step explanation: Exponential Decay function is a model that describes the reducing of an amount by a constant rate over time. Generally, it is written in the form: $y(t)=Ce^{rt}$

A) C is initial quantity, in this case, the initial concentration of DDT. To determine r, using the data given:

$y(t)=Ce^{rt}$

$2.22=13e^{13r}$

$e^{13r}=0.1708$

Using a natural logarithm property called power rule:

$13r=ln(0.1708)$

$r=\frac{ln(0.1708)}{13}$

$r=-0.1359$

The decay function for concentration of DDT through the years is $y(t)=13e^{-0.1359t}$

B) The value of H is calculated by $y=C(0.5)^{\frac{t}{H} }$

$2.22=13(0.5)^{\frac{13}{H} }$

$(0.5)^{\frac{13}{H} }=0.1708$

Again, using power rule for logarithm:

$\frac{13}{H} log(0.5)=log(0.1708)$

$\frac{13}{H} =\frac{log(0.1708)}{log(0.5)}$

$\frac{13}{H} =2.55$

H = 5.10

Constant H in the half-life formula is H=5.10

C) Using model $y(t)=13e^{-0.1359t}$ to determine concentration of DDT in 1995:

$y(24)=13e^{-0.1359.24}$

y(24) = 0.5

By 1995, the concentration of DDT is 0.5 ppm, so using this model is possible to reduce such amount and more of DDT.

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2 years ago

Determine if the segment X is half the length, double the length, two thirds the length, or the same length as segment Y.

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The right answer is The Same Length.
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Median is perpendicular on the segment from which results that the triangle is Isosceles and x = y.

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3 years ago

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mash [69]

Answer:

you are possibly the fence that surrounds the pasture field

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2 years ago

Help me with this two question

MAVERICK [17]

Answer:

The answer for number 2 is 1/5.

Step-by-step explanation:

The fraction would be 4/20 but you can simplify it by dividing by 4.

4/4 is 1 and and 20/4 is 5.

you put 1 over 5 and that's how you get your answer.

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3 years ago