1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Pie
3 years ago
6

Justin wants to place one of his 4 signed hockey sticks on his shelf. The length of the shelf is exactly 1.05 meters. His 4 hock

ey sticks and their lengths are shown below.
Mathematics
1 answer:
jolli1 [7]3 years ago
4 0

Answer:

Stick 2

Step-by-step explanation:

Given

L = 1.05m --- Shelf length

<u>Missing information from the question are:</u>

Stick\ 1 = 1.4m

Stick\ 2 = 1.041m

Stick\ 3 = 1.14m

Stick\ 4 = 1.104m

<em>See attachment</em>

Required

Which stick best fits the shelf?

The following observations are to be noted:

  • The length of stick 1 of 1.4m is greater than the length of the shelf
  • The length of stick 3 of 1.14m is greater than the length of the shelf
  • The length of stick 4 of 1.104m is greater than the length of the shelf

  • <em>Only stick 2 (of length 1.041m) has a smaller length when compared to the length of the shelf.</em>

<em />

<em>Hence, Justin should choose stick 2</em>

You might be interested in
Stefon is paid $25 to mow a lawn. This amount is $4 less than twice the amount he received when he first began mowing. Use the m
Neko [114]

Answer:

He used to receive $14.50.

Step-by-step explanation:

Let x = amount he used to receive.

Now he receives 2x - 4.

Now he receives $25.

2x - 4 = 25

2x = 29

x = 14.5

Answer: He used to receive $14.50.

5 0
2 years ago
Read 2 more answers
Expand &amp; simplify (x-2)(x+4)
AVprozaik [17]
You have to <em>FOIL</em> (multiply the first, then outer, then inner, then last)

(x-2)(x+4)

First: multiply x by x to get x².
Outer: multiply x by 4 to get 4x.
Inner: multiply -2 by x to get -2x.
Last: multiply -2 by 4 to get -8. 

This gives you:

x² + 4x - 2x - 8

Combine like terms to get your final answer:

x² + 2x - 8

Hope this helped!! xx



8 0
3 years ago
Read 2 more answers
If f(x) is discontinuous, determine the reason.
inn [45]
The function is 

f(x) = \begin{cases} x^2-4 &\mbox{if } x\ \textless \ 1, \\ &#10;x+4 & \mbox{if } x\ \textgreater \ 1. \end{cases}.

To the left of 1 the function is a quadratic polynomial, to the right, it is a linear polynomial. Polynomial functions are always continuous, so the only candidate point for discontinuity is x=1.

The left limit is calculated with 1 substituted in x^2+4, which gives 5.

The right limit, is computed using the rule for the right part of 1, that is x+4. 

Thus, the right limit is 1+4=5.

So, both left and right limits are equal. Now if f(1) is 5, then the function is continuous at 1.

But the function is not defined for x=1, that is x=1 is not in the domain of the function. Thus, we have a "whole" (a discontinuity) in the graph of the function.

The reason is now clear:

Answer:<span> f(1) is not defined</span>

5 0
4 years ago
The as x approaches 0 of tan^2x/x
uysha [10]

L=Lim tan(x)^2/x x->0

Since both numerator and denominator evaluate to zero, we could apply l'Hôpital rule by taking derivatives.

d(tan^2(x))/dx=2tan(x).d(tan(x))/dx = 2tan(x)sec^2(x)

d(x)/dx = 1

=>

L=2tan(x)sec^2(x)/1 x->0

= (2(0)/1^2)/1

=0/1

=0


Another way using series,

We know that tan(x) = x+x^3/3+2x^5/15+.....

then tan^2(x), using binomial expansion gives

x^2+2*x^4/3+.... (we only need two terms)

and again apply l'Hôpital's rule, we have

L=d(x^2+2x^4/3+...)/d(x) = (2x+8x^3/3+...)/1

=0 as x->0

3 0
3 years ago
An inequality is shown below. <br> −8x ≤ 38 <br> Which inequality represents the solution set?
zzz [600]

Answer:

i think its b !!

Step-by-step explanation:

8 0
3 years ago
Other questions:
  • Which ordered pair (x, y) is a solution to given system of linear equations?
    5·2 answers
  • Solve for b please! :)
    6·1 answer
  • Is it ever possible that a decreasing function could have a positive slope?
    9·1 answer
  • 3r = 10 + 5s, when r = 10
    12·2 answers
  • The manufacturer of widgets spends $5 to make each widget and sells them for $8. The manufacturer also has fixed costs each mont
    7·2 answers
  • Which of the following represents a geometric series <br> 2+6+18<br> 2,6,10<br> 2+6+10+<br> 2,6,18
    14·1 answer
  • A college basketball player makes 80% of his free throws. At the end of a game, his team is losing by two points. He is fouled a
    10·2 answers
  • Two similar
    6·1 answer
  • Which arrangement shows264, 6.45, 625, and508 in order from least to greatest?
    6·1 answer
  • This is due in a couple minutes could someone please help me?
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!