Bruh I’m so confused on how to do this

Mathematics

1 answer:

Dmitrij [34]3 years ago

3 0

Rotation doesn't matter for this question... <em>The dilation is key... you made each side of the triangle 4 times bigger</em>

<h3>Answer:</h3>

A. False:

$Area= \frac12 \times base \times height$ .... if the base is 4 times bigger and the height is 4 times bigger .... <em>the area will be </em><em>16</em><em> times bigger</em>

B. True .... you just add all sides, each is 4 times bigger

C. False ... by definition of dilation, the sides grew

D. True... Size changed, but the shape stayed the same (so, did the angles)

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A certain radioactive isotope decays at a rate of 2% per 100 years. if t represents time in years and y represents the amount of

gregori [183]

We rewrite the equation:
y = y0 * e ^ (- 0.0002 * t)
In this equation:
I = represents the initial amount of the isotope
We have then:
89% of the isotope left:
0.89 * y0 = y0 * e ^ (- 0.0002 * t)
We clear the time:
e ^ (- 0.0002 * t) = 0.89
Ln (e ^ (- 0.0002 * t)) = Ln (0.89)
-0.0002 * t = Ln (0.89)
t = Ln (0.89) / (- 0.0002)
t = 582.6690813
round to the nearest year:
t = 583 years
Answer:
There will be 89% of the isotope left in about:
t = 583 years

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3 years ago

E=300-10 (30)<br> How to solve it step by step

Zepler [3.9K]

Answer:

Step-by-step explanation:

e = 300-10(30)

e = 300 - 300

e = 0

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3 years ago

In a Gallup poll, 1025 randomly selected adults were surveyed and 29% of them said that they used the Internet for shopping at l

svetoff [14.1K]

Answer: (0.25,0.33)

Step-by-step explanation:

A 99% confidence interval for population proportion is given by:-

$\hat{p}\pm 2.576\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}$ , where $\hat{p}$ = sample proportion, $n$ = sample size.

Given: $n=1025, \hat{p}=0.29$

A 99% confidence interval estimate of the proportion of adults who use the Internet for shopping:

$0.29\pm 2.576\sqrt{\dfrac{0.29(1-0.29)}{1025}}\\\\=0.29\pm 2.576\sqrt{0.00020087804878}\\\\=0.29\pm2.576(0.01417)\\\\=0.29\pm0.03650192\\\\=(0.29-0.03650192,\ 0.29+0.03650192)\\\\=(0.25349808,\ 0.32650192)$