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Alisiya [41]
3 years ago
14

Solve this equation(15x^3- 2)^3= 2197

Mathematics
1 answer:
aliya0001 [1]3 years ago
5 0

Answer:

x=1

Step-by-step explanation:

(15x^3- 2)^3= 2197

Take the cube root of each side

(15x^3- 2)^3 ^ 1/3= 2197^ 1/3

15x -2 = 13

Add 2 to each side

15x^3- 2+2= 13+2

15x^3 =15

Divide each side by 15

15x^3 /15 =15/15

x^3 =1

Take the cube root of each side

x^3 ^1/3 = 1^1/3

x=1

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Write the inequality for five times b plus 3 is at most 10<br> please help
Naddika [18.5K]

Answer:

5b+3<10

Step-by-step explanation:

I hope I got it right

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3 years ago
Circle towns limit form a perfectly circular shape that has a population of 20000 in the population density of 480 people per sq
Alex

Answer:

D =\frac{P}{\pi X^2}

And solving for the radius we got:

X = \sqrt{\frac{P}{\pi D}}

And replacing the data given we got:

X = \sqrt{\frac{480 \frac{people}{km^2}}{\pi *20000 people}}= 0.0874Km

And this value converted to meters is X = 87.40 m

Step-by-step explanation:

For this case we know the population size P = 20000 and we also know the population density D = 480 \frac{people}{km^2}

We can assume that the area is a circle. We also know that the formula for the population density is given by:

D= \frac{P}{A}

Where P represent the number of people and A the area. Since we are assuming a circle then the area is given by:

A = \pi X^2

With X the radius of the circle

And then the populationd density become:

D =\frac{P}{\pi X^2}

And solving for the radius we got:

X = \sqrt{\frac{P}{\pi D}}

And replacing the data given we got:

X = \sqrt{\frac{480 \frac{people}{km^2}}{\pi *20000 people}}= 0.0874Km

And this value converted to meters is X = 87.40 m

6 0
4 years ago
Jennifer belongs to a gym that requires a monthly membership fee of $60 plus an additional $15 fee for each yoga class she atten
Gnesinka [82]
Answer To The Question

C. y=15x+60
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3 years ago
Expanding logarithmic Expression In Exercise,Use the properties of logarithms to rewrite the expression as a sum,difference,or m
Dmitry_Shevchenko [17]

Answer:

\ln{(z)}+2\ln{(z-1)}

Step-by-step explanation:

\ln{(z(z-1)^2)}

we know that

  • \ln{ab} = \ln{a}+\ln{b}

\ln{(z)}+\ln{(z-1)^2}

we also know that:

  • \ln{a^b} = b\ln{a}

\ln{(z)}+2\ln{(z-1)}

and this is our logarithmic expression rewritten!

3 0
3 years ago
Adecco Workplace Insights Survey sampled men and women workers and asked if they expected to get a raise or promotion this year
Mumz [18]

Answer:

Yes

Step-by-step explanation:

Let p1 represent proportion of women and p2 proportion of men. The null and alternative hypothesis will be as follows

Null hypothesis

H_o=p2-p1 ≤0

Alternative hypothesis

H_a=p2-p1>0

Sample proportion of women, p1=74/200=0.37

Sample proportion of men is p2=104/200=0.52

Level of significance is 0.01

Pooled proportion=\frac {104+74}{200+200}=0.445

Test statistic

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p-value=P(Z≥z)=P(Z≥6.9124)=P(Z≤-6.9124)=0

Since the value of p is less than 0.01, we reject null hypothesis. There’s sufficient evidence that a greater proportion of men is expecting to get a raise

6 0
4 years ago
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