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3 years ago

In geometry, you can use deductive rules to

Mathematics

1 answer:

lana [24]3 years ago

3 0

The answer is d
prove conjectures

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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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3 years ago

In triangle UVW, the measure of angle W is 90 degrees, UV is 4.7 feet, and WU is 2.2feet. Find the measure of angle u to the nea

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Answer:62

Step-by-step explanation:

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3 years ago

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Viefleur [7K]

Answer:

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Step-by-step explanation:

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The point (5, 3) has an image of (2, –1) under a translation of left 3 and down 4 units. Which sequence of transformations produ

ololo11 [35]

The answer is ....

B.Translate left 3 units and down 2 units, and then reflect over the x-axis.

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Solve for K 7K-6 2K+14

Verdich [7]

Answer:

$k=4$

Step-by-step explanation:

Using the diagram, we can conclude that the given angles are vertical angles. Vertical angles are opposite angles that are formed when two lines intersect. Vertical angles are always congruent.

Using this information we can set up an equation.

$7k-6=2k+14$