answer.
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
Shtirlitz
5 days ago
14

Two race cars,car x an y,are at the starting point of a two km track at the same time.car x and car y make one lap every 60 s an

d every 80 sec respectively.
How long, in minutes, will it take for the faster car to be 5 laps ahead of the slower car?

Mathematics
1 answer:
AnnZ [3.9K]5 days ago
4 0

The answer is in the image provided.

Please refer to the accompanying image.

You might be interested in
(HELP!!!) Gustavo invests £520 for 6 years in a bank account paying simple interest. At the end of 6 years, the amount in the ba
Inessa [3926]
629.20 divided by 520 equals 1.21
Power of 6V1.21 equals 1.0323
Interest rate is 3.23
7 0
7 days ago
Find the dimensions of the closed rectangular box with maximum volume that can be inscribed in the unit sphere.
Inessa [3926]

Answer:

Wyjaśnienie krok po kroku:

Załóżmy, że prostokąt ma wierzchołki (x,y,z) w dodatnim oktancie.  Prostokątny pudełko musi być symetryczne względem wszystkich trzech osi.

Wtedy jego boki to

2x,2y,2z

Objętość = 8xyz

Maksymalizuj objętość przy założeniu

x^2+y^2+z^2 =1

tj. g(x,y,z) = x^2+y^2+z^2 -1=0

Użyj mnożników Lagrange'a, mamy

∇f(x,y,z)=λ∇g(x,y,z)przy maksimum

∇f(x,y,z)=λ∇g(x,y,z) =(8yz,8xz,8xy)\\∇g(x,y,z)=(2x,2y,2z)

8yz=2λx8xz=2λy8xy=2λz

Dzieląc otrzymujemy

\frac{y}{x} =\frac{x}{y} \\x^2=y^2

Podobnie y^2=z^2

Zatem otrzymujemy 3x^2 =1\\x = \frac{1}{\sqrt{3} }

Stąd wymiary to

(2x,2y,2z)

<pzatem wymiary="" to="">

\frac{2}{\sqrt{3} },\frac{2}{\sqrt{3} },\frac{2}{\sqrt{3} } )

</pzatem>
3 0
1 day ago
Which statement is true about the discontinuities of the function f(x)? F (x) = StartFraction x minus 5 Over 3 x squared minus 1
AnnZ [3900]

Question:

Which statement is accurate concerning the function’s discontinuities f(x) = \frac{x-5}{3x^2-17x-28}

A) There are gaps at x = 7 and.

B) Asymptotes exist at x = 7 and.

C) Asymptotes exist at x = –7 and.

D) Gaps are present at (–7, 0) and.

Answer:

B) Asymptotes exist at x = 7 and (x = \frac{-4}{3})

Step-by-step explanation:

Given:

f(x) = \frac{x-5}{3x^2-17x-28}

Goal:

Identify the correct statement

f(x) = \frac{x-5}{3x^2-17x-28}

We need to factor the denominator first.

f(x) = \frac{x-5}{(3x+4)(x-7)}

To express x in terms of (3x+4) and (x-7):

3x + 4 =

3x = -4

Divide both sides by 3:

x = \frac{-4}{3}

x - 7

x = 7

Next, evaluate the limit when (x = \frac{-4}{3}) and at (x = 7)

lim f(x) as (x = \frac{-4}{3}) = ±∞

lim f(x) as (x=7) = ±∞

Since both scenarios result in the denominator approaching zero, they represent asymptotes.

Thus, asymptotes are found at (x = \frac{-4}{3}) and x=7

Option B is determined to be correct

6 0
3 days ago
What is the value of n? 9x27+2x31-28= n
Svet_ta [4341]

n equals 277

9 multiplied by 27 plus 2 multiplied by 31 minus 28 gives n

243 plus 62 minus 28 results in n

305 minus 28 equals n

which means 277 is n


3 0
11 days ago
Read 2 more answers
Translate to an algebraic expression n−1 increased by 110%
tester [3938]

Answer:

Part 1) The algebraic expression can be represented as 1.10(n-1)  or 1.10n-1.10

Part 2) The algebraic expression is represented as \frac{1.10}{n}

Step-by-step explanation:

Part 1) The expression (n-1) raised by 110%

Recognizing that

110%=110/100=1.10

thus,

The algebraic representation of (n-1) increased by 110% translates to 1.10 multiplied by (n-1).

1.10(n-1)

Expanded

1.10n-1.10

Part 2) The expression n^(-1) raised by 110%

<pGiven that

110%=110/100=1.10

therefore, the representation of n^(-1) increased by 110% becomes 1.10 multiplied by n^(-1).

Remember that

n^{-1}=\frac{1}{n}

thus,

1.10(n^{-1})=1.10\frac{1}{n}=\frac{1.10}{n}

6 0
7 days ago
Other questions:
  • Q13. A stone is dropped from a height of 5 km. The distance it falls through varies directly with the
    6·2 answers
  • You were charged interest of $6.31 for purchases (near section 8) why?
    12·2 answers
  • What is the nearest ten thousand, the population of Vermont was estimated to be about 620,000 in 2008 . What might have been the
    10·1 answer
  • A sphere has a radius of 16 in. Which statements about the sphere are true? Check all that apply.
    14·2 answers
  • The yearly cost in dollars, y, for a member at a video game arcade based on total game tokens purchased, x, is y =y equals Start
    14·2 answers
  • Given: PFST is a rectangle m∠SOT = 60°, OS = R=4 Find: ST and PT
    11·2 answers
  • Max rides his scooter toward Kim and then passes her at a constant speed. His distance in feet, d, from Kim t seconds after he s
    8·2 answers
  • Which relationship has a zero slope? A two column table with five rows. The first column, x, has the entries, negative 3, negati
    9·2 answers
  • The coordinates of the endpoints of and are A(x1, y1), B(x2, y2), C(x3, y3), and D(x4, y4). Which condition proves that ?
    13·3 answers
  • A researcher evaluates the significance of a multiple-regression equation and obtains an F-ratio with df = 2,24. How many partic
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!