Z^2 + z + 4z^3 + 4z Solve? To get the answer. Also we have to comebine like terms

What is the value of x?

vivado [14]

Answer:

x = 52/3

Step-by-step explanation:

3x / 7x = (3x+7) / (3x+7+5x-8)

3/7 = (3x+7)/(8x - 1)

Cross multiply

7(3x+7)=3(8x-1)

21x + 49 = 24x - 3

-3x = -52

x = 52/3

5 0

3 years ago

What is the half-life of polonium-214 if, after 820. seconds, a 1.0-g sample decays to 31.25 mg?

Marina86 [1]

Answer:

164 seconds.

Step-by-step explanation:

3 0

3 years ago

A superintendent of a school district conducted a survey to find out the level of job satisfaction among teachers. Out of 53 tea

frez [133]

Answer:

b. 1.15

Step-by-step explanation:

The z statistics is given by:

$Z = \frac{X - p}{s}$

In which X is the found proportion, p is the expected proportion, and s, which is the standard error is $s = \sqrt{\frac{p(1-p)}{n}}$

Out of 53 teachers who replied to the survey, 13 claim they are satisfied with their job.

This means that $X = \frac{13}{53} = 0.2453$

She find that the proportion of satisfied teachers nationally is 18.4%.

This means that $p = 0.184$

Standard error:

p = 0.184, n = 53.

So

$s = \sqrt{\frac{0.184*0.816}{53}} = 0.0532$

Z-statistic:

$Z = \frac{X - p}{s}$

$Z = \frac{0.2453 - 0.184}{0.0532}$

$Z = 1.15$

The correct answer is:

b. 1.15

5 0

4 years ago

Using the given points and line, determine the slope of the line. (-3, 0) and (2, 7) slope = -7/5

Brilliant_brown [7]

Answer:

Slope= 7/5

Step-by-step explanation:

The slope of a line is determined as a ratio of the change in y to the change in x.

Slope=Δy/Δx

Δy=y₂-y₁

Δx=x₂-x₁

Therefore we can use the the x and y coordinates from the points given, (-3,0) and (2,7) to calculate the slope.

m= (7-0)/(2-⁻3)

Slope= 7/5

When a negative number is subtracted from a number it the operation sign changes to addition.

7 0

3 years ago

Read 2 more answers

danielle wants to know how fast her rose garden will grow. Right now, her roses are 3 3/8 inches tall. If her roses grow 5/8 of

KATRIN_1 [288]

Answer: The answer is minimum 33 days.

Step-by-step explanation: Given that Daniel has a beautiful rose garden and she wants to know how fast her rose garden will grow. Also given that

Height of her roses at present is given by

$h_p=3\dfrac{3}{8}=\dfrac{27}{8}~\textup{inches}.$

And, height of the roses that increases each day is

$h_d=\dfrac{5}{8}~\textup{inches}.$

We need to find the number of days in which her roses will be a height of minimum 24 inches.

Let, 'x' be the number of days taken by the roses to be minimum 24 inches tall.

So, we have

$h_p+h_dx\geq 24\\\\\Rightarrow \dfrac{27}{8}+\dfrac{5}{8}x\geq 24\\\\\Rightarrow 27+5x\geq 192\\\\\Rightarrow 5x\geq 165\\\\\Rightarrow x\geq 33.$

Thus, the roses will take minimum of 33 gays attain a height of no less than 24 inches.

3 0

4 years ago