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storchak [24]
3 years ago
13

Simplify 7(x - 2) - 4x + 9. O A. 3x+7 O B. 3x - 5 O C. -11X- 11 D. -21 x + 49

Mathematics
1 answer:
Makovka662 [10]3 years ago
4 0

Answer:

b. 3x-5

7(x-2)-4x+9

7x-14-4x+9

(7x-4x)(-14+9)

3x-5

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The perimeter of an isosceles triangle is 29 feet if the base measures 15 feet what is the measure of the other side
Deffense [45]
Answer : the other two sides measure 7 ft each

7 0
3 years ago
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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: <u>Exponential</u> <u>Decay</u> <u>function</u> 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 <em>power rule:</em>

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.

8 0
3 years ago
A large koi pond is filled from a garden hose at the rate of 12 gal/min. Initially, the pond contains 200 gal of water.
Semmy [17]

a) The linear function that models the amount of water after t minutes is given by:

V(t) = 200 + 12t

b) It takes 92 minutes to completely fill the pond.

Item a:

  • Initially, the pond contains 200 gal of water, that is, the linear function has a y-intercept of 200.
  • Filled at a rate of 12 gallons per minute, thus the linear function has a slope of 12.

Then, the function is:

V(t) = 200 + 12t

Item b:

It takes t minutes to fill the pond, t is found for which:

V(t) = 1304

Then

200 + 12t = 1304

12t = 1104

t = \frac{1104}{12}

t = 92

It takes 92 minutes to completely fill the pond.

A similar problem is given at brainly.com/question/16302622

3 0
3 years ago
Answer!!!!!!!!!!!!?!!?
Vinvika [58]
It would be 2^12 (to the twelfth power) What you do is you multiply the power that's inside of the parentheses and the one on the outside. Since they are both negative, the power will end up being positive. And if you need to multiply it out, it would be 4096.

3 0
3 years ago
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Two numbers total 65 and have a difference of 33. What are the two numbers?
victus00 [196]

Answer:

32 and 33

Step-by-step explanation:

65-33=32

32+33=65 hope this helps

3 0
3 years ago
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