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3 years ago

A cab charges the following fare for each trip.

Mathematics

1 answer:

Sphinxa [80]3 years ago

6 0

Answer:

32.25

Step-by-step explanation:

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Otra forma de representar 42/9

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Answer:

(84/18, 14/3). These are the same as 42/9

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3 years ago

Find the inverse of the function f(x) = (x - 4) 2 - 5 if x ≥ 4.

Serggg [28]

Same here, we do a quick switcharoo on the variables first,

$\bf \stackrel{f(x)}{y}=(x-4)^2-5\qquad inverse\implies \boxed{x}=\left( \boxed{y}-4 \right)^2-5
\\\\\\
x+5=(y-4)^2\implies \pm\sqrt{x+5}=y-4\implies \pm\sqrt{x+5}+4=y$

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3 years ago

Which situation represents a proportional relationship?

Natalka [10]

Answer:

B) Jack biked 5 miles in 25 minutes and 8 miles in 40 minutes.

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form $y=kx$

The ratio between the two variables is a constant called constant of proportionality k

$k=y/x$

Verify each case

A) Julie sold 4 necklaces for $12 and 9 necklaces for $25.

$\frac{4}{12}=\frac{9}{25}$

Multiply in cross

$4(25)=9(12)\\100\neq108$

Is not true

therefore

The situation not represent a proportional relationship

B) Jack biked 5 miles in 25 minutes and 8 miles in 40 minutes.

$\frac{5}{25}=\frac{8}{40}$

Multiply in cross

$5(40)=8(25)\\200=200$

Is true

therefore

The situation represent a proportional relationship

C) Larry packed 24 apples in 6 boxes and 46 apples in 9 boxes

$\frac{24}{6}=\frac{46}{9}$

Multiply in cross

$24(9)=46(6)\\216\neq276$

Is not true

therefore

The situation not represent a proportional relationship

D) Allie put 14 pieces of candy in 2 bags and 30 pieces of candy in 4 bags

$\frac{14}{2}=\frac{30}{4}$

Multiply in cross

$14(4)=30(2)\\56\neq60$

Is not true

therefore

The situation not represent a proportional relationship

7 0

3 years ago

Apple launches an ad campaign for iPhone 12. Managers want to know what is the % of social media mentions that have positive rea

Orlov [11]

Answer:

social media mentions do managers at Apple need to collect, if they want to get a margin of error of 2%

Sample size 'n' = 625

Step-by-step explanation:

Step(i):-

Given data Apple launches an ad campaign for iPhone 12

Managers want to know what is the % of social media mentions that have positive reactions to the new ad campaign

probability of positive reactions p = 1/2

Probability of negative reactions q = 1-p = 1/2

we know that $\sqrt{p(1-p}\leq \frac{1}{2}$

Step(ii):-

Given margin of error = 2 % =0.02

The margin of error is determined by

$M.E = \frac{\sqrt{p(1-p} }{\sqrt{n} }$

$0.02 = \frac{\frac{1}{2} }{\sqrt{n} }$

$\sqrt{n} =\frac{1}{2 X0.02}$

√n = 25

squaring on both sides, we get

n = 625

8 0

3 years ago