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3 years ago

NEED THE ANSWER ASAP PLEASE

Mathematics

1 answer:

frutty [35]3 years ago

5 0

Answer:

x = 9

Step-by-step explanation:

Since the angle is bisected by rhe segment then the ratio of the sides to the corresponding parts of the base are equal, that is

$\frac{15}{x}$ = $\frac{20}{12}$ ( cross- multiply )

20x = 180 ( divide both sides by 20 )

x = 9

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$1783.03

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1500(1+.025)⁷

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16) 2 is what percent of 20

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a survey showed that 26% of the people surveyed preferred a certain brand of breakfast cereal. there were 200 people surveyed.ho

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Identify the slope by converting standard form into slope-intercept form.<br> 12x - 9y = -9

Novosadov [1.4K]

Answer:

4/3

Step-by-step explanation:

12x-9y=-9

9y=12x-(-9)

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8 0

2 years ago

The population of a colony of mosquitoes obeys the law of uninhibited growth. If there are 1000 mosquitoes initially and there a

STatiana [176]

Answer:

24761 mosquitoes

5.4 days

Step-by-step explanation:

Let the equation that shows the population of the mosquitoes after x days,

$A=P(1+r)^x$

Where,

P = Initial population,

r = rate of increasing per day,

Here, A = 1000, when x = 0,

$1000=P(1+r)^0\implies P = 1000$

A = 1900 when x = 1,

$1900 = P(1+r)^1\implies 1900 = 1000(1+r)\implies 1.9 = 1 + r\implies r = 0.9$

Thus, the required function that represents the population after x days,

$A=1900(1+0.9)^x=1900(1.9)^x$

If x = 4,

The number of mosquito after 4 days,

$A=1900(1.9)^4 = 24760.99\approx 24761$

If A = 60,000,

$60000 = 1900(1.9)^x$

$\frac{600}{19}=1.9^x$

Taking log both sides,

$\log(\frac{600}{19})=x\log 1.9$

$\implies x = \frac{\log(\frac{600}{19})}{\log 1.9}=5.378\approx 5.4$

Thus, there will 60,000 mosquitoes after 5 days.

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3 years ago