What is the solution of square root of-4x=100? x = –2500 x = –50 x = –2.5 no solution

Answers

Answer 1

Answer: √(-4x) = 100
-4x = 100² = 10,000
x = 10,000/-4 = -2500

The solution is ...
x = -2500

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If given f(x)=2x+5 what is f(-10)

Answers

To solve input -10 into x to get your answer, it should look something like this (f(-10) = 2(-10) + 5

Find the equation of a line perpendicular to y - 12 = 2x – 8 that passes through the point (2, 3). (answer in slope-intercept form)

Answers

Answer:

$\displaystyle y=-(1)/(2)x+4$

Step-by-step explanation:

Equation of a Line

We can find the equation of a line by using two sets of data. It can be a pair of ordered pairs, or the slope and a point, or the slope and the y-intercept, or many other combinations of appropriate data.

We are given a line

$y - 12 = 2x -8$

And are required to find a line perpendicular to that line. Let's find the slope of the given line. Solving for y

$y = 2x +4$

The coefficient of the x is the slope

$m=2$

The slope of the perpendicular line is the negative reciprocal of m, thus

$\displaystyle m'=-(1)/(2)$

We know the second line passes through (2,3). That is enough information to find the second equation:

$y-y_o=m'(x-x_o)$

$\displaystyle y-3=-(1)/(2)(x-2)$

Operating

$\displaystyle y=-(1)/(2)(x-2)+3$

Simplifying

$\displaystyle y=-(1)/(2)x+4$

That is the equation in slope-intercept form. Intercept: y=4

What are the new coordinates of the figure above if it is dilated by a scale factor of , with the origin as the center of dilation?

Answers

Answer:

could you show a picture and repost thx

Step-by-step explanation:

Consider this composite figure that is made of two half spheres a cylinder. A composite figure is comprised of one cylinder and two half spheres. The cylinder has a height of 9 millimeters and radius of 5 millimeters. The volumes of each figure that make the composite figure have been determined. Sphere V = 500 3 π mm3 Cylinder V = 225π mm3 What is the volume of the composite figure?

Answers

Answer:

the answer is c

1,175/3mm3

Step-by-step explanation:

I got it right

Answer:

Actually:

V = 500/3

A disease has hit a city. The percentage of the population infected t days after the disease arrives is approximated by p(t)equals7 t e Superscript negative t divided by 13 for 0less than or equalstless than or equals39. After how many days is the percentage of infected people a maximum? What is the maximum percent of the population infected?

Answers

Answer:

t = 13 days

p(13) = 33.47%

Step-by-step explanation:

p(t) is the percentage of the population infected:

p(t) = 7*t*e∧(-t / 13)

where 0 ≤ t ≤ 39 days

we can apply p'(t) = 0 to get number of days where the percentage of infected people is maximum:

p'(t) = (7*t*e∧(-t / 13))' = 7*(t*e∧(-t / 13))' = 7*((t)'*e∧(-t / 13)+t*(e∧(-t / 13)') = 0

⇒ 7*(1*e∧(-t / 13)+t*e∧(-t / 13)*(-1 / 13)) = 7*e∧(-t / 13)*(1 - (t / 13)) = 0

∴ 1 - (t / 13) = 0 ⇒ t = 13 days

then we get the maximum percent of the population infected as follows

p(13) = 7*13*e∧(-13 / 13)

⇒ p(13) = 33.47%

In the past, 21% of all homes with a stay-at-home parent, the father is the stay-at-home parent. An independent research firm has been charged with conducting a sample survey to obtain more current information. (a) What sample size is needed if the research firm's goal is to estimate the current proportion of homes with a stay-at-home parent in which the father is the stay-at-home parent with a margin of error of 0.09? Use a 95% confidence level. (Round your answer up to the nearest whole number.)

Answers

Answer:

A sample size of 79 is needed.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of $\pi$ , and a confidence level of $1-\alpha$ , we have the following confidence interval of proportions.

$\pi \pm z\sqrt{(\pi(1-\pi))/(n)}$

In which

z is the zscore that has a pvalue of $1 - (\alpha)/(2)$ .

For this problem, we have that:

$\pi = 0.21$

The margin of error is:

$M = z\sqrt{(\pi(1-\pi))/(n)}$

95% confidence level

So $\alpha = 0.05$ , z is the value of Z that has a pvalue of $1 - (0.05)/(2) = 0.975$ , so $Z = 1.96$ .

What sample size is needed if the research firm's goal is to estimate the current proportion of homes with a stay-at-home parent in which the father is the stay-at-home parent with a margin of error of 0.09?

A sample size of n is needed.

n is found when M = 0.09. So

$M = z\sqrt{(\pi(1-\pi))/(n)}$

$0.09 = 1.96\sqrt{(0.21*0.79)/(n)}$