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3 years ago

14

In a packaging plant, a veteran employee can package 126 items in 3 hours. Find the unit rate of the number of items packaged pe

r hour.

1 answer:

Margarita [4]3 years ago

8 0

Answer: 42 packages per hour

Step-by-step explanation:

You might be interested in

The value 5 is an upper bound for the zeros of the function shown below.

Mice21 [21]

Answer:

The given statement that value 5 is an upper bound for the zeros of the function f(x) = x⁴ + x³ - 11x² - 9x + 18 will be true.

Step-by-step explanation:

Given

$f\left(x\right)\:=\:x^2\:+\:x^3\:-\:11x^2\:-\:9x\:+\:18$

We know the rational zeros theorem such as:

if $x=c$ is a zero of the function $f(x)$ ,

then $f(c) = 0$ .

As the $f\left(x\right)\:=\:x^2\:+\:x^3\:-\:11x^2\:-\:9x\:+\:18$ is a polynomial of degree $4$ , hence it can not have more than $4$ real zeros.

Let us put certain values in the function,

$f(5) = 448$ , $f(4) = 126$ , $f(3) = 0$ , $f(2) = -20$ ,

$f(1) = 0$ , $f(0) = 18$ , $f(-1) = 16$ , $f(-2) = 0$ , $f(-3) = 0$

From the above calculation results, we determined that $4$ zeros as

$x = -3, -2, 1,$ and $3$ .

Hence, we can check that

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

Observe that,

$for x > 3$ , $f(x)$ increases rapidly, so there will be no zeros for $x>3$ .

Therefore, the given statement that value 5 is an upper bound for the zeros of the function f(x) = x⁴ + x³ - 11x² - 9x + 18 will be true.

5 0

3 years ago

PLEASE HELP ASAP !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! PLEASEEEEEEEEEE AND DO NOT LOOK IT UP ON ANY SOURCE THANK YOU AND ILY

AleksandrR [38]

I would go with Jesses survey.

Unlike everyone else’s survey Jesse chose 6th grade students in random, causing a more unbiased research.

3 0

4 years ago

Read 2 more answers

How do you know if something is congruent? (scale Factors)

igomit [66]

example: Two polygons are congruent if they are the same size and shape - that is, if their corresponding angles and sides are equal.

7 0

3 years ago

Read 2 more answers

Identity the construction that the figure represents

nordsb [41]

The construction is the construction of the Perpendicular bisector.

<h3>How to illustrate the information?</h3>

The steps for the construction of perpendicular bisectors are as follows:

Open the compass more than half of the distance between A and B, and scribe arcs of the same radius centered at A and B.

Call the two points where these two arcs meet X and Y. Draw the line between X and Y.

So, the point where this line meets the line segment; M is called the mid point and the line XY is the perpendicular bisector of the line AB.

The figure is a construction of perpendicular bisector.

Learn more about bisector on:

brainly.com/question/11006922

#SPJ1

4 0

2 years ago

) Using the chart, approximate the limit of the function f(x) = sin x/ x as x approaches zero. Note the numbers are in radians:

Rashid [163]

Answer:

1

Step-by-step explanation:

We are given that

$f(x)=\frac{sinx}{x}$

Numbers are in radians

Substitute x=-1

$f(-1)=\frac{sin(-1)}{-1}=0.84$

Substitute x=-0.25

$f(-0.25)=\frac{Sin(-0.25)}{-0.25}=0.989$

Substitute x=-0.01

$f(-0.01)=\frac{sin(-0.01)}{-0.01}=0.999$

Substitute x=-0.005

$f(-0.005)=\frac{sin(-0.005)}{-0.005}=0.999$

Substitute x=0.005

$f(0.005)=\frac{sin(0.005)}{0.005}=0.999$

Substitute x=0.01

$f(0.01)=\frac{sin(0.01)}{0.01}=0.999$

Substitute x=0.25

$f(0.25)=\frac{sin(0.25)}{0.25}=0.989$

Substitute x=1

$f(1)=\frac{sin(1)}{1}=0.84$

Therefore, $\lim_{x\rightarrow 0}\frac{sinx}{x}=1$

8 0

4 years ago