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3 years ago

8

The number of bacteria in a culture is increasing according to the law of exponential growth. After 3 hours there are 100 bacter

ia, and after 6 hours there are 800 bacteria. How many bacteria will there be after 7 hours?

1 answer:

Vika [28.1K]3 years ago

3 0

I think the answer is 1600.

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Montreal canadiens memorabilia is on sale for 40% off due to their disappointing season how much would a jersey that cost $80 be

hjlf

You mean 40% of 80?

40*100 = 0.4

0.4*80 = 32

7 0

2 years ago

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What are the coordinates of R' after a dilation by a scale factor of 3, centered at the origin, followed by the translation (x,

emmainna [20.7K]

9514 1404 393

Answer:

C. (9, 18)

Step-by-step explanation:

Given R(3, 5), a dilation by a factor of 3 will multiply each coordinate to give ...

(9, 15)

Then the translation up by 3 will give you the image coordinates ...

(x, y) ⇒ (x, y+3)

(9, 15) ⇒ (9, 15 +3) = (9, 18)

The coordinates of R' are (9, 18), matching choice C.

_____

<em>Comment on multiple choice answers</em>

As it often does, here it works to "guess" the answer that has the coordinates that are most-repeated. An x-coordinate of 9 is part of 3 answer choices; a y-coordinate of 18 is the only repeated value in the answer choices. If you were to guess, an appropriate guess would be (9, 18). That happens to be correct in this case.

8 0

3 years ago

Solve the equation x/5 =9

Elena L [17]

Answer:

x = 45

Step-by-step explanation:

Given

$\frac{x}{5}$ = 9

Multiply both sides by 5

x = 5 × 9 = 45

7 0

3 years ago

Read 2 more answers

A cell phone retailer used a mark-up rate of 60% on a cellphone case that originally cost $5. To find the new price of the case

sweet-ann [11.9K]

Answer:

$8

Step-by-step explanation:

5 increase 60% =

5 × (1 + 60%) = 5 × (1 + 0.6) = 8

7 0

3 years ago

A researcher wishes to be 95% confident that her estimate of the true proportion of individuals who travel overseas is within 3%

andre [41]

Answer: a) 683 b) 1067

Step-by-step explanation:

The confidence interval for population proportion is given by :-

$p\pm z_{\alpha/2}\sqrt{\dfrac{p(1-p)}{n}}$

a) Given : Significance level : $\alpha=1-0.95=0.05$

Critical value : $z_{\alpha/2}}=\pm1.96$

Margin of error : $E=0.03$

Formula to calculate the sample size needed for interval estimate of population proportion :-

$n=p(1-p)(\dfrac{z_{\alpha/2}}{E})^2\\\\=0.2(0.8)(\dfrac{1.96}{0.03})^2=682.951111111\approx683$

Hence, the required sample size would be 683 .

b) If no estimate of the sample proportion is available then the formula to calculate sample size will be :-

$n=0.25(\dfrac{z_{\alpha/2}}{E})^2\\\\=0.25(\dfrac{1.96}{0.03})^2=1067.11111111\approx1067$

Hence, the required sample size would be 1067 .

3 0

3 years ago