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adell [148]
2 years ago
6

Find the measure of the (3y)° angle. *

Mathematics
1 answer:
Zigmanuir [339]2 years ago
6 0

Answer:

35+(y-15)+3y=180

35+y-15+3y=180

35-15+y+3y=180

20+4y=180

4y=160

y=40

3y=120

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Answer:I cant see anything

Step-by-step explanation: laptop is too cracked

7 0
2 years ago
a rectangle has a perimeter of 22 feet. the width is 5 feet less than the length. find the length and width of the rectangle​
alexira [117]

Answer:

the length is 8ft

the width is 3ft

Step-by-step explanation:

Step one:

given

perimter= 22ft

let the length be x

width = x-5

Step two

the expression for the perimeter of a rectangle is

P=2L+2W

substituting our data

22= 2(x)+2(x-5)

open brackets

22=2x+2x-10

collect terms and solve for x

22+10=4x

32=4x

divide both sides by 4

x= 32/4

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8 0
3 years ago
A bacteria population experiences continuous growth. If there were 2,000 bacteria present at the start of an experiment, how lon
allochka39001 [22]

Answer:

D. About 15.69 hours.

Step-by-step explanation:

Let x be the number of hours.

We have been given that there  were 2,000 bacteria present at the start of an experiment and the growth rate was 7% per hour.

Since number of bacteria is growing exponentially, so we will use exponential growth function to solve our given problem.

The continuous exponential growth formula is in form: y=e^{kx}, where,

e= mathematical constant,

k = Growth rate in decimal form.

Let us convert our given rate in decimal form.

7\%=\frac{7}{100}=0.07

Upon substituting our given values we will get exponential function for bacteria growth as: y=2,000*e^{0.07x}, where, y represents number of bacteria after x hours.

Since we need to figure out the number of hours it will take for there to be 6,000 bacteria, so we will substitute y= 6,000 in our function.

6,000=2,000*e^{0.07x}

Let us divide both sides of our equation by 2,000.

\frac{6,000}{2,000}=\frac{2,000*e^{0.07x}}{2,000}

3=e^{0.07x}

Let us take natural log of both sides of our equation.

\text{ln}(3)=ln(e^{0.07x})

\text{ln}(3)=0.07x

1.0986122=0.07x  

x=\frac{1.0986122}{0.07}  

x=15.69446\approx 15.69  

Therefore, it will take about 15.69 hours to be 6,000 bacteria and option D is the correct choice.




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vladimir1956 [14]
The total labor year cost increase is 15,000
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