Simplify each of the following logarithmic expressions to the simplest form

Mathematics

1 answer:

AleksAgata [21]2 years ago

4 0

Simplest Form: log2 (x/9)

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Write a quadratic function f whose zeros are 3 and -10.<br> f(x) =

andreyandreev [35.5K]

Answer:

f(x)= x^2 + 7x - 30

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3 years ago

2) Every Rational number can be expressed as a _________.

yKpoI14uk [10]

2. Fraction
3. -1 & 1/4
4. -5/7

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2 years ago

78 is 15% of what #?

nirvana33 [79]

1. 78 = 0.15x
78 / 0.15 = x
520 = x.....so 78 is 15% of 520

2. | 3x - 2 | = 8 | x + 1 | = 1

3x - 2 = 8 -(3x - 2) = 8 x + 1 = 1 -(x + 1) = 1
3x = 8 + 2 -3x + 2 = 8 x = 1 - 1 -x - 1 = 1
3x = 10 -3x = 6 x = 0 -x = 2
x = 10/3 x = -2 x = -2

ur answer is : x = -2

3. 3y - 4x + 5 = 0
3y = 4x - 5
y = 4/3x - 5/3
slope = 4/3

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2 years ago

The claim is that the proportion of adults who smoked a cigarette in the past week is less than 0.30, and the sample statistics

IrinaK [193]

Answer: 0.84

Step-by-step explanation:

let p be the population proportion of adults who smoked a cigarette in the past week.

As per given , we have

$H_a: p$

Sample size : n= 1491

The sample proportion of adults smoked a cigarette= $\hat{p}=\dfrac{x}{n}=\dfrac{462}{1491}=0.30985915493\approx0.31$

The test statistic for proportion is given by :-

$z=\dfrac{\hat{p}-p}{\sqrt{\dfrac{p(1-p)}{n}}}$

Substitute all the values , we get

$z=\dfrac{0.31-0.30}{\sqrt{\dfrac{0.30(1-0.30)}{1491}}}\\\\=\dfrac{0.01}{\sqrt{0.000141}}\\\\=\dfrac{0.01}{0.011874342087}=0.84261497731\approx0.84$

Hence, the value of the test statistic = 0.84

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3 years ago

An object has a constant acceleration of 10 ft/sec2, an initial velocity of -20 ft/sec, and an initial position of 8 ft. Find th

Neporo4naja [7]

The equation of motion is
s(t) = (1/2)a·t² +v₀·t +s₀
where a is the acceleration, v₀ is the initial velocity, and s₀ is the initial position.

For t in seconds and s(t) in feet, your values make this equation be
s(t) = 5t² -20t +8

5 0

2 years ago