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miv72 [106K]
3 years ago
14

PLEASE HELP!! Write an equation that represents the line!!

Mathematics
1 answer:
LUCKY_DIMON [66]3 years ago
5 0

Answer:

y - -1/2x - 3.5

Step-by-step explanation:

Using the y=mx+b format, m is the slope which is -1/2. I got this by doing rise over run. Since you have go down once, and right twice, the slope is -1/2. b is the y-intercept, or the point at which the line hits the y axis when x is 0. The intercept lies at -3.5. Hence the equation for this line is y = -1/2x - 3.5

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50 US states for the namethat start with the letter W what percent of US states have the names that start with the letter W
Vanyuwa [196]
Washington, West Virginia, Wisconsin, Wyoming
Four states out of 50
4 / 50 * 100 = 8 per cent.


3 0
3 years ago
2 of 6
Kryger [21]

Answer:

£2112

Step-by-step explanation:

To find Gavin's share, sum the parts of the ratio, 4 + 1 = 5 parts

Divide the win by 5 to find the value of one part of the ratio.

£8800 ÷ 5 = £1760 ← value of 1 part of ratio, thus

4 parts = 4 × £1760 = £7040 ← Gavin's share

Now repeat the process with the ratio for his family

1 + 6 + 3 = 10 parts

£7040 ÷ 10 = £704 ← value of 1 part of the ratio, thus

6 × £704 = £4224 ← wife's share

3 × £704 = £2112 ← son's share

Difference = £4224 - £2112 = £2112

Thus his wife gets £2112 more than the son

4 0
3 years ago
2x + 1 = 9<br> is that the answer ?
Ronch [10]

Answer:

yes

Step-by-step explanation:

because 9-1=8/2 equals 4 so2x4+1=9

7 0
3 years ago
Triangle K L J is cut by line segment N O. Line segment N O goes from side L K to side L J. The length of L N is (x minus 3) inc
kozerog [31]

Answer: x= 8

Step-by-step explanation:

According to the converse of basic proportionality theorem,

If in ΔABC , DE is a line drawn from AB to AC such that \dfrac{AD}{DB}=\dfrac{AE}{EB}

then, DE is parallel to the third side BC.

Applying converse of basic proportionality theorem, to get NO parallel to KJ, we must have

\dfrac{LO}{OJ}=\dfrac{LN}{NK}\\\\\Rightarrow \dfrac{x-4}{x}=\dfrac{x-3}{x+2}\\\\\Rightarrow\ (x-4)(x+2)=x(x-3)\\\\\Rightarrow\ x^2-2x-8=x^2-3x\\\\\Rightarrow\ -2x+3x=8\\\\\Rightarrow\ x=8

Hence, the value of x should be 8, so that Line segment N O is parallel to line segment K J.

8 0
3 years ago
Read 2 more answers
The E. coli bacteria has a volume of 6 µm3 . In optimal conditions, an E. coli bacteria will double about every 30 minutes. Unde
Zinaida [17]

Answer:

It is going to take around 19 hours and 15 minutes for a single bacteria to grow to fill a thimble with volume 1 cm3.

It will take 57.6 hours to for the volume to fill the entire earth

Step-by-step explanation:

We can say that the volume of the bacteria is a geometric sequence, and each time moment is an arithmetic sequence.

Each geometric sequence has the following format:

{a, ar, ar^{2}, ar^{3},...}

In which:

a is the first term

r is the common ratio.

We can find any term of the sequence by the following equation:

x_{n} = ar^{(n-1)}

Each arithmetic sequence has the following format:

{a, a+d, a+2d,...}

In which:

a is the first term

d is the difference between the terms.

We can find any term of the sequence by the following equation:

x_{n} = a + d(n)

How i am going to solve this problem.

We have the sequence that is the volume of the bacteria:

Obs: 1(um)^{3} = 10^{-18}m^{3}

V_{n} = {6*10^{-18}, 12*10^{-18},...}

a = 6*10^{-18}

r = 2

And the following arithmetic sequence that are the time(in hours).

T_{n} = {0,0.5,1,...}

a = 0

d = 0.5

T_{n} = 0.5n

How long will it take for a single bacterium to grow to fill a thimble with volume 1 cm3 ?

I am going to find the value of n for which V_{n} = 1cm^{3}, then i find the value at this position in the arithmetic sequence. So

1cm^{3} = 10^{-6}m^{3}

V_{n} = 6*10^{-18}*(2^{(n-1)})

10^{-6} = 6*10^{-18}*(2^{(n-1)})

\frac{10^{-6}}{6*10^{-18}} = 2^{(n-1)})

Obs: a^{b-c} = \frac{a^{b}}{a^{c}}

\frac{10^{12}}{6} = \frac{2^{n}}{2}

2^{n} = \frac{10^{12}}{3}

Now, we have to apply these following logarithim proprierties to find the value of n:

log a^{n} = n log a

log(\frac{a}{b}) = log a - log b

log 10^{n} = n

log 2 = 0.30

log 3 = 0.48

log 2^{n} = log(\frac{10^{12}}{3})

n log 2 = log(10^{12}) - log 3

0.30n = 12 - 0.48

0.30n = 11.52

n = 38.4

Lets find T_{38} and T_{39} in the arithmetic sequence.

T_{n} = 0.5n

T_{38} = 0.5*38 = 19

T_{39} = 0.5*39 = 19.5

It is going to take around 19 hours and 15 minutes for a single bacteria to grow to fill a thimble with volume 1 cm3.

How long will it take for the volume to fill the entire earth 1.08 × 108 km3 ?

1 (km)^{3} = 10^{9}m^{3}

So

1.08*10^{8} km^{3} = 1.08*10^{17} m^{3} = 108*10^{15}m^{3}

Lets solve the same way as the first question.

V_{n} = 6*10^{-18}*(2^{(n-1)})

108*10^{15} = 6*10^{-18}*(2^{(n-1)})

\frac{108*10^{15}}{6*10^{-18}} = 2^{(n-1)})

18*10^{33} = \frac{2^{n}}{2}

2^{n} = 36 * 10^{33}

Aside from the proprierties seen in the first exercise, we also have that

log a*b = log a + log b

log (2^{n}) = log(36 * 10^{33})

n log 2 = log 36 + log 10^{33}

0.30n = 1.56 + 33

0.30n = 34.56

n = \frac{34.56}{0.30}

n = 115.2

T_{115} = 0.5*115.2 = 57.6

It will take 57.6 hours to for the volume to fill the entire earth

4 0
3 years ago
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