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2 years ago

PLZ HELP!!! I don't understand.

Mathematics

2 answers:

lilavasa [31]2 years ago

6 0

Answer:

Step-by-step explanation:

14.)

lets first find x:

2x+x+90=189

3x=90

x=30

lets find y:

2y=x

2y=30

y=15

lets find z:

2y+z=180

30+z=180

z=150

vladimir2022 [97]2 years ago

5 0

Answer:

14)

x = 30°

y = 15°

z = 150°

15)

x = 10°

y = 25°

Step-by-step explanation:

14)

3x = 180 - 90

x = 30

2y = x = 30

y = 15

z = 180 - 2y = 180 - 30 = 150

15)

3x = 5x - 20 because they are alternate interior angles

subtract 5x from each side of the equation:

-2x = -20

Divide both sides by -2:

x = 10°

The sum of the interior angles of any triangle = 180°

2y + 4Y + (5x - 20) = 180°

combine like terms:

6y + 5x - 20 = 180°

add 20 to each side:

6y + 5x = 200°

substitute for x:

6y + 5(10) = 200°

subtract 50 from each side:

6y = 150°

divide both sides by 6:

y = 25°

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3 years ago

An investor has an account with stock from two different companies. Last year, her stock in Company A was worth $2690 and her st

Mrac [35]

Answer:

Step-by-step explanation:

let us total the amount in her portfolio

Company A was worth $2690

Company B was worth $2980.

Total = $5670

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3 0

3 years ago

A bacteria culture initially contains 100 cells and grows at a rate proportional to its size. After an hour the population has i

bija089 [108]

Answer: $\bold{a)\ P(t)=P_o\cdot e^{t\cdot ln(2.7)}}$

b) 5314

c) ln 2.7

d) 4.6 hrs

<u>Step-by-step explanation:</u>

$P(t) = P_o\cdot e^{kt}\\\\\bullet \text{P(t) is the number of bacteria after t hours} \\\bullet P_o\text{ is the initial number of bacteria}\\\bullet \text{k is the rate of growth}\\\bullet \text{t is the time (in hours)}\\\\\\270=100\cdot e^{k(1)}\\2.7=e^k\\ln\ 2.7=\ln e^k\\\boxed{ln\ 2.7=k}\\\\\text{So the equation to find the number of bacteria is: }\boxed{P(t)=P_o\cdot e^{t\cdot ln(2.7)}}\\\\\\P(4)=100\cdot e^{4\cdot ln(2.7)}\\.\qquad =\boxed{5314}$

$10,000=100\cdot e^{t\cdot ln(2.7)}\\100=e^{t\cdot ln(2.7)}\\ln\ 100=ln\ e^{t\cdot ln(2.7)}\\ln\ 100=t\cdot ln(2.7)\\\dfrac{ln\ 100}{ln\ 2.7}=t\\\\\boxed{4.6=t}$