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larisa86 [58]
3 years ago
8

A wheel is shaped like a circle with a diameter of 35 cm. To the nearest centimeter, what is the circumference of the wheel?

Mathematics
2 answers:
tatiyna3 years ago
5 0

Answer:

110

Step-by-step explanation:

Ipatiy [6.2K]3 years ago
3 0
Circumference= 2πr = 2×π×17.5 = 109.96cm ≈ 110cm

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In two or more complete sentences, describe the transformation(s) that take place on the parent function, f(x)=log(x), to achiev
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Transforming f(x) = log(x) to f(x) = log (2x) gives the effect of squashing the graph horizontally (by halving the x-coordinate)

Then from f(x) = log(2x) to f(x) = log (-2x) is reflecting on the y-axis

Then from log(-2x) to log(-2x-4) is to translate by 4 units to the right

Finally from log(-2x-4) to log(-2x-4)+5 is translating the graph up by 5 units


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3 years ago
What is the volume of the prism? m 14 m 6 m 8 m​
mestny [16]

Answer:

28?

Step-by-step explanation:

3 0
2 years ago
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An evolutionary biologist examined the relative fitness of Escherichia coli bacteria grown for 2000 generations, about 300 days,
Varvara68 [4.7K]

Answer:

Step-by-step explanation:

Hello!

The variable of interest is:

X: fitness of a line of E. coli grown on an acidic environment.

n= 6 E. coli lines

Recorded fitness for each line: 1.24, 1.22, 1.23, 1.24, 1.18, 1.09

The relative fitness of 1 indicates that both bacteria types are equally fit.

A relative fitness larger than 1 indicates that the acid-evolved line is more fit than the parental line kept at neutral pH when both are grown in acidic conditions.

Meaning that if the average fitness of the E. coli lines grown on an acidic environment is greater than 1 then they are better adjusted to live in acidic conditions, symbolically: μ > 1

The statistic hypotheses are:

H₀: μ ≤ 1

H₁: μ > 1

α: 0.05

Assuming that the variable has a normal distribution you have to apply a one-sample t-test:

t= \frac{X[bar]-Mu}{\frac{S}{\sqrt{n} } } ~~t_{n-1}

X[bar]= 1.20

S= 0.06

t_{H_0}= \frac{1.20-1}{\frac{0.06}{\sqrt{6} } } = 8.40

The p-value for this test is 0.0002

Since the p-value= 0.0002 is less than α:0.05 the decision is to reject the null hypothesis.

Then at a 5% significance level, there is significant evidence to conclude that the bacteria evolved in acidic pH are better adapted to acidic conditions.

I hope you have a SUPER day!

7 0
3 years ago
What is the justification for each step in solving the inequality? 3x+1/2<−x+4 Select from the drop-down menus to correctly j
patriot [66]

Answer:

see below

Step-by-step explanation:

(3x+1)/2<−x+4

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3x+1 < -2x +8

Subtract 1 from each side using the subtraction property of equality

3x < -2x+7

Add 2x to each side using the addition property of equality

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3 years ago
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Use properties to find the sum or product<br><br> 8x51
SCORPION-xisa [38]
8\times51=8\times(50+1)=8\times50+8\times1=400+8=408
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2 years ago
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