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
sweet-ann [11.9K]
3 years ago
14

If it took Carlos 1/2 hour to cycle from his house to the library yesterday, was the distance that he cycled greater than 6 mile

s? (Note: 1 mile = 5280 ft)
(1) The average speed at which Carlos cycles from his house to the library yesterday was greater than 16 feet per second.
(2) The average speed at which Carlos cycles from his house to the library yesterday was less than 18 feet per second.
Mathematics
1 answer:
Dvinal [7]3 years ago
5 0

Answer:

Step-by-step explanation:

Given

time taken by Carlos to cycle is t=0.5\ hr

For case (1)

Average speed v_{avg}>16\ ft/s

For 0.5 hr \approx 30\times 60=1800\ s

Distance traveled d=1800\times 16=28,800\ ft\approx 5.45\ miles

Therefore Carlos might not be able to cover 6 miles with average speed of  16 ft/s

(2)v_{avg}=18\ ft/s

for 0.5 hr

distance traveled

d=1800\times 18=32,400\ ft\approx 6.136

Therefore Carlos might be able to cover more than 6 miles with 18\ ft/s

You might be interested in
Help plssssssssssssssssss
Pepsi [2]

Answer:

There’s two options for each. Look below.

Step-by-step explanation:

Savings: there is no risk of losing any money put into this account

              interest income is the only way to earn money in this type

‘investment: this account may generate income from a variety of sourses.

                  If no deposits or withdrawals are made, money held in this acct..

6 0
3 years ago
Which number line illustrates the problem below? x = -1 - (-2) -3
MrRa [10]
The answers to that would be x=-2
8 0
3 years ago
Can someone help me answer this question ( moderators this is not a copy, the other ones got erased so go away)
Rainbow [258]
Triangles ABC and ADE are similar triangles. That means the sides are all scaled by the same factor.

To go from side BC to side DE, you multiply by 1.25. That means 1.25 is your scale factor. Now apply that factor to the bottom side to get your answer.

Side AB is 6. That means side AD is 6 x 1.25 = 7.5. That means x = 7.5 - 6 = 1.5
6 0
3 years ago
Can someone help solve 1 + 2x = 7?​
Yanka [14]

Answer:

3

Step-by-step explanation:

1+2x=7

7-1=6

2x=6

6/2=3

x=3

5 0
3 years ago
Read 2 more answers
Drag the expressions into the boxes to correctly complete the table.
lora16 [44]

Answer:

SUMMARY:

x^4+\frac{5}{x^3}-\sqrt{x}+8                               →    Not a Polynomial

-x^5+7x-\frac{1}{2}x^2+9                           →    A Polynomial

x^4+x^3\sqrt{7}+2x^2-\frac{\sqrt{3}}{2}x+\pi              →    A Polynomial

\left|x\right|^2+4\sqrt{x}-2                                   →    Not a Polynomial

x^3-4x-3                                        →    A Polynomial

\frac{4}{x^2-4x+3}                                              →    Not a Polynomial

Step-by-step explanation:

The algebraic expressions are said to be the polynomials in one variable which consist of terms in the form ax^n.

Here:

n = non-negative integer

a = is a real number (also the the coefficient of the term).

Lets check whether the Algebraic Expression are polynomials or not.

Given the expression

x^4+\frac{5}{x^3}-\sqrt{x}+8

If an algebraic expression contains a radical in it then it isn’t a polynomial. In the given algebraic expression contains \sqrt{x}, so it is not a polynomial.

Also it contains the term \frac{5}{x^3} which can be written as 5x^{-3}, meaning this algebraic expression really has a negative exponent in it which is not allowed. Therefore, the expression x^4+\frac{5}{x^3}-\sqrt{x}+8 is not a polynomial.

Given the expression

-x^5+7x-\frac{1}{2}x^2+9

This algebraic expression is a polynomial. The degree of a polynomial in one variable is considered to be the largest power in the polynomial. Therefore, the algebraic expression is a polynomial is a polynomial with degree 5.

Given the expression

x^4+x^3\sqrt{7}+2x^2-\frac{\sqrt{3}}{2}x+\pi

in a polynomial with a degree 4. Notice, the coefficient of the term can be in radical. No issue!

Given the expression

\left|x\right|^2+4\sqrt{x}-2

is not a polynomial because algebraic expression contains a radical in it.

Given the expression

x^3-4x-3

a polynomial with a degree 3. As it does not violate any condition as mentioned above.

Given the expression

\frac{4}{x^2-4x+3}

\mathrm{Apply\:exponent\:rule}:\quad \:a^{-b}=\frac{1}{a^b}

Therefore, is not a polynomial because algebraic expression really has a negative exponent in it which is not allowed.

SUMMARY:

x^4+\frac{5}{x^3}-\sqrt{x}+8                               →    Not a Polynomial

-x^5+7x-\frac{1}{2}x^2+9                           →    A Polynomial

x^4+x^3\sqrt{7}+2x^2-\frac{\sqrt{3}}{2}x+\pi              →    A Polynomial

\left|x\right|^2+4\sqrt{x}-2                                   →    Not a Polynomial

x^3-4x-3                                        →    A Polynomial

\frac{4}{x^2-4x+3}                                              →    Not a Polynomial

3 0
3 years ago
Other questions:
  • Glenda began the day with a golf score of -6 and ended with a score of -10. Which statement represents her golf score for that d
    10·2 answers
  • Is this figure defined by points E, F, G, and H a rectangle? Justify your answer.
    12·1 answer
  • The diagram is a straightedge and compass construction. A is the center of one circle, and B is the center of the
    11·1 answer
  • What is the ratio of 49 to 7
    11·2 answers
  • A t-shirt company has initial costs of $1200 per month and it costs them $3.50 per shirt.
    10·1 answer
  • You will now see two questions that may look a little different.
    6·2 answers
  • Which equasion represents a line that is parallel to the line y=-4x+5
    15·1 answer
  • Which is the cosine ratio of ∠A?
    8·1 answer
  • Which type of car had the largest range in monthly sales? Explain how you came up with your answer.
    8·1 answer
  • <img src="https://tex.z-dn.net/?f=y%28x%2Bw%29%20%3D%20c%28x%2Bz%29" id="TexFormula1" title="y(x+w) = c(x+z)" alt="y(x+w) = c(x+
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!