What is |9| can someone answer fast

the distance between Nick and Sara's house is 546m. Nick can walk 1.3 m/sec. Using the formula d=rt, where d is distance, r is r

maks197457 [2]

D=rt and we are told d=546 and r=1.3m/s so

1.3t=546 divide both sides by 1.3

t=420 seconds so

420s(min/60s)=7 min

So it takes him 7 minutes to walk to Sara's house.

3 0

3 years ago

The average daily volume of a computer stock in 2011 was μ=35.1 million shares, according to a reliable source. A stock analyst

alexandr1967 [171]

Answer:

The 95% confidence interval is ( 27.126 , 34.674)

Step-by-step explanation:

Given

The t critical value at 0.05 level = 2.023 for the df = 39

Confidence interval = 95%

Mean

$\bar{x} - t * \frac{s}{\sqrt{n} } < \mu < \bar{x} + t * \frac{s}{\sqrt{n} }$

Substituting the given values we get -

$\30.9 - 2.023 * \frac{11.8}{\sqrt{40} } < \mu < \30.9 + 2.023 * \frac{11.8}{\sqrt{40} }\\27.126 < \mu < 34.674$

Hence, the 95% confidence interval is

( 27.126 , 34.674)

4 0

3 years ago

Find the perimeter of the polygon with the vertices X(−1, 3), Y(3, 0), and Z(−1,−2). Round your answer to the nearest hundredth

antoniya [11.8K]

Answer:

The perimeter of the polygon is $P=14.47\ units$

Step-by-step explanation:

we know that

The perimeter is the sum of the length sides of the polygon

In this problem

P=XY+YZ+XZ

the formula to calculate the distance between two points is equal to

$d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}$

step 1

Find the distance XY

we have

X(−1, 3), Y(3, 0)

substitute

$d=\sqrt{(0-3)^{2}+(3+1)^{2}}$

$d=\sqrt{25}$

$dXY=5\ units$

step 2

Find the distance YZ

we have

Y(3, 0), Z(−1,−2)

substitute

$d=\sqrt{(-2-0)^{2}+(-1-3)^{2}}$

$d=\sqrt{20}$

$dYZ=4.47\ units$

step 3

Find the distance XZ

we have

X(−1, 3), Z(−1,−2)

substitute

$d=\sqrt{(-2-3)^{2}+(-1+1)^{2}}$

$d=\sqrt{25}$

$dXZ=5\ units$

step 4

Find the perimeter

P=XY+YZ+XZ

$P=5+4.47+5=14.47\ units$

5 0

3 years ago

Use a table of values to find the solution to the equation f(x)=h(x) where

GuDViN [60]

9514 1404 393

Answer:

x = 2 1/3

Step-by-step explanation:

We can examine the equations to see where the solution lies.

f(x) = (2/3) -x

This has an x-intercept where y=0, at x=2/3. It has a y-intercept where x=0, at y=2/3. Its slope is -1.

h(x) = 3 -2x

This has an x-intercept where y=0, at x=3/2. It has a y-intercept where x=0, at y=3. Its slope is -2.

__

In the first quadrant, the graph of h(x) is farther from the origin and steeper than the graph of f(x). The lines must cross in the 4th quadrant at some value of x that is greater than 3/2. The fraction in the definition of f(x) suggests that the solution will be a multiple of 1/3.

The attached table shows a couple of guesses at values of x that would make f(x) = h(x). We find that x = 7/3 is the solution we're looking for.

_____

Additional comment

Repetitive function evaluations are done conveniently and with fewer errors by a calculator or spreadsheet that can work with tables of values. Here, we have used a graphing calculator. These tools are readily available for free on almost any phone, tablet, or desktop computer platform.

6 0

3 years ago

Use the box method to distribute and simplify (-5x-3)(2x-6)

Zinaida [17]

Answer:

;;[p;.[p;l][pl];[p];[p';uijuyuhyghgghghghgghhghghghjhjgijk7yuyhfjtygujtyujytujyujgfgg

Step-by-step explanation:

8 0

3 years ago