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
zmey [24]
3 years ago
8

Given the speeds of each runner below, determine who runs the fastest? ron runs 15 feet per second. Brooke runs 85 feet in 9 sec

onds. Adam runs 625 feet in 1 minute.
Mathematics
1 answer:
gavmur [86]3 years ago
4 0
Ron runs the fastest

Brooke runs 9.4 feel per second

Adam runs 10.4 feet per second

And if you times 15 * 60 you get 900

And if you times 15 * 9 which is 135 which only proves Ron’s the fastest
You might be interested in
Selma had 2 L of bottle of water. She drank 450 mL. How much water was left, in milliliters?
Basile [38]

Answer:

The amount of water left is 1550 litres

7 0
3 years ago
Find the sum of the geometric series 512+256+ . . .+4
mario62 [17]

\bf 512~~,~~\stackrel{512\cdot \frac{1}{2}}{256}~~,~~...4

so, as you can see above, the common ratio r = 1/2, now, what term is +4 anyway?

\bf n^{th}\textit{ term of a geometric sequence}\\\\a_n=a_1\cdot r^{n-1}\qquad \begin{cases}n=n^{th}\ term\\a_1=\textit{first term's value}\\r=\textit{common ratio}\\----------\\r=\frac{1}{2}\\a_1=512\\a_n=+4\end{cases}

\bf 4=512\left( \cfrac{1}{2} \right)^{n-1}\implies \cfrac{4}{512}=\left( \cfrac{1}{2} \right)^{n-1}\\\\\\\cfrac{1}{128}=\left( \cfrac{1}{2} \right)^{n-1}\implies \cfrac{1}{2^7}=\left( \cfrac{1}{2} \right)^{n-1}\implies 2^{-7}=\left( 2^{-1}\right)^{n-1}\\\\\\(2^{-1})^7=(2^{-1})^{n-1}\implies 7=n-1\implies \boxed{8=n}

so is the 8th term, then, let's find the Sum of the first 8 terms.

\bf \qquad \qquad \textit{sum of a finite geometric sequence}\\\\S_n=\sum\limits_{i=1}^{n}\ a_1\cdot r^{i-1}\implies S_n=a_1\left( \cfrac{1-r^n}{1-r} \right)\quad \begin{cases}n=n^{th}\ term\\a_1=\textit{first term's value}\\r=\textit{common ratio}\\----------\\r=\frac{1}{2}\\a_1=512\\n=8\end{cases}

\bf S_8=512\left[ \cfrac{1-\left( \frac{1}{2} \right)^8}{1-\frac{1}{2}} \right]\implies S_8=512\left(\cfrac{1-\frac{1}{256}}{\frac{1}{2}}  \right)\implies S_8=512\left(\cfrac{\frac{255}{256}}{\frac{1}{2}}  \right)\\\\\\S_8=512\cdot \cfrac{255}{128}\implies S_8=1020

7 0
4 years ago
Write (3p^3)^2 without exponents
rodikova [14]

Answer:

3p*3p*3p*3p*3p*3p

Step-by-step explanation:

Multiply exponents

3p^6

expand

3p*3p*3p*3p*3p*3p = 3p^6

4 0
3 years ago
A runner completes a 400-m race in 43.9 s. In a 100-m race, he finishes in 10.4 s. In which race was his speed faster?
Sveta_85 [38]

Answer:

100m race

Step-by-step explanation:

because 10.4 x 4 because 100m and 400m right 10.4x4=41.6 and 43.9 so obviously the 100m race is faster.

5 0
3 years ago
Read 2 more answers
Which is a number that can be written as a fraction in the form ?
Scilla [17]

Rational Numbers: Any number that can be written in fraction form is a rational number. This includes integers, terminating decimals, and repeating decimals as well as fractions. An integer can be written as a fraction simply by giving it a denominator of one, so any integer is a rational number.

Hope this helps!

3 0
3 years ago
Other questions:
  • What is the perimeter of a regular octagon in which all sides have a length of 5 feet.
    9·2 answers
  • PLEASE ANSWER!!!!!
    11·1 answer
  • The age of some lecturers are 42,54,50,54,50,42,46,46,48 and 48 calculate the mean age and standard deviation
    9·1 answer
  • Brooklyn has 8975 books and 4 friends to split with the.How MANY books would each of them get
    11·1 answer
  • Pls help I will mark brainliest quick
    13·2 answers
  • Please help me I will give BRAINLIST and a like :))))
    10·2 answers
  • OK THIS IS THE LASTT ONE!!!
    5·1 answer
  • Which of these amounts would NOT be a "y" coordinate for The Jeans Source?
    8·2 answers
  • What is <img src="https://tex.z-dn.net/?f=%5Cfrac%7B2%7D%7B5%7D" id="TexFormula1" title="\frac{2}{5}" alt="\frac{2}{5}" align="a
    5·2 answers
  • ſ x - 5y = -9( 4x + 4y = - 12Step 1 of 2: Determine if the point (-4,1) lies on both of the lines in the system of equations by
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!