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3 years ago

Please put the missing numbers pls irl give brainliest

Mathematics

1 answer:

s344n2d4d5 [400]3 years ago

8 0

Answer: (9 x 10^10) - (4 x 10^10) in scientific notation is 5x x 10^10

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What is the equation, in slope-intercept form, of the line

Sati [7]

Given:

Given that the graph of the equation of the line.

The line that is perpendicular to the given line and passes through the point (2,-1)

We need to determine the equation of the line perpendicular to the given line.

Slope of the given line:

The slope of the given line can be determined by substituting any two coordinates from the line in the slope formula,

$m=\frac{y_2-y_1}{x_2-x_1}$

Substituting the coordinates (-1,3) and (2,2), we get;

$m_1=\frac{2-3}{2+1}$

$m_1=-\frac{1}{3}$

Thus, the slope of the given line is $m_1=-\frac{1}{3}$

Slope of the perpendicular line:

The slope of the perpendicular line can be determined by

$m_2=-\frac{1}{m_1}$

Substituting $m_1=-\frac{1}{3}$ , we get;

$m_2=-\frac{1}{-\frac{1}{3}}$

simplifying, we get;

$m_2=3$

Thus, the slope of the perpendicular line is 3.

Equation of the perpendicular line:

The equation of the perpendicular line can be determined using the formula,

$y-y_1=m(x-x_1)$

Substituting $m=3$ and the point (2,-1) in the above formula, we have;

$y+1=3(x-2)$

$y+1=3x-6$

$y=3x-7$

Thus, the equation of the perpendicular line is $y=3x-7$

Hence, Option d is the correct answer.

3 0

3 years ago

A treatment is administered to a sample of n = 9 individuals selected from a population with a mean of µ = 80 and a standard dev

stepan [7]

Answer:

a) M =82

Step-by-step explanation:

Let´s study this as a Normal distribution.

As we know in a normal distribution the z score is = (X-μ)/(sd/sqrt(n))

where

X = mean for the taken sample = What we want to know in this problem

μ = Total population mean =80

sd= standard deviation= 12

n = sample size=9

So in this case z=( X-80)/(12/sqr(9))= (X-80)/4

also we know that the effect size taken by the machine is 0.5, which is the same as the z-score

so...

0.5 = (X-80)/4 => 0.5*4 = X-80

2+80 = X

X = 82

4 0

3 years ago

Identify the relative maximum value of g(x) for the function shown below g(x)=7/x^2+5

Liula [17]

To find the relative maximum value of the function we need to find where the function has its first derivative equal to 0.

Its first derivative is -7*(2x)/(x^2+5)^2
7*(2x)/(x^2+5)^2 =0 the numerator needs to be eqaul to 0
2x=0
x=0

g(0) = 7/5

The relative maximum value is at the point (0, 7/5).

8 0

3 years ago

Read 2 more answers

Roscoe is exchanging $ 121 for Euros for his upcoming trip to Germany. If $2 can be exchanged for 1.78 Euros,how many Euros will

olasank [31]

Answer is define variable

6 0

1 year ago

Can you help me out with this

olya-2409 [2.1K]

Answer:

angle 9 measures 105 degrees

Step-by-step explanation:

measure of angle 8 is congruent to measure of angle 11 (alternate-interior angles are congruent)

measure of angle 11 is congruent to measure of angle 9 (corresponding angles are congruent)

therefore, measure of angle 8 = measure of angle 9

3 0

3 years ago