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ivanzaharov [21]
3 years ago
9

A speed walker covered 4 1/2 mi in 3/4 hour. How far will he walk with the same pace in 3.5 hours?

Mathematics
2 answers:
jarptica [38.1K]3 years ago
7 0

21 miles is the answer

Hope this helped!!!!!!!!!

alisha [4.7K]3 years ago
6 0

Distance = Speed × Time

Distance = (4.5 mi)/(0.75 h) × (3.5 h) = 21 mi

The walker will cover 21 miles in 3.5 hours at that pace.

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marusya05 [52]

Answer:

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4t+2s+w+u+x+v

4 0
2 years ago
Find the general term of sequence defined by these conditions.
disa [49]

Answer:

\displaystyle  a_{n}  =     (2)^{2n -1}   -   (3) ^{n-1 }

Step-by-step explanation:

we want to figure out the general term of the following recurrence relation

\displaystyle \rm a_{n + 2} - 7a_{n + 1} + 12a_n = 0  \:  \: where :  \:  \:a_1 = 1 \: ,a_2 = 5,

we are given a linear homogeneous recurrence relation which degree is 2. In order to find the general term ,we need to make it a characteristic equation i.e

  • {x}^{n}  =  c_{1} {x}^{n - 1}  + c_{2} {x}^{n - 2}  + c_{3} {x}^{n -3 } { \dots} + c_{k} {x}^{n - k}

the steps for solving a linear homogeneous recurrence relation are as follows:

  1. Create the characteristic equation by moving every term to the left-hand side, set equal to zero.
  2. Solve the polynomial by factoring or the quadratic formula.
  3. Determine the form for each solution: distinct roots, repeated roots, or complex roots.
  4. Use initial conditions to find coefficients using systems of equations or matrices.

Step-1:Create the characteristic equation

{x}^{2}  - 7x+ 12= 0

Step-2:Solve the polynomial by factoring

factor the quadratic:

( {x}^{}  - 4)(x - 3) =  0

solve for x:

x =  \rm 4 \:and \: 3

Step-3:Determine the form for each solution

since we've two distinct roots,we'd utilize the following formula:

\displaystyle a_{n}  = c_{1}  {x} _{1} ^{n }  + c_{2}  {x} _{2} ^{n }

so substitute the roots we got:

\displaystyle a_{n}  = c_{1}  (4)^{n }  + c_{2}  (3) ^{n }

Step-4:Use initial conditions to find coefficients using systems of equations

create the system of equation:

\begin{cases}\displaystyle 4c_{1}    +3 c_{2}    = 1  \\ 16c_{1}    + 9c_{2}     =  5\end{cases}

solve the system of equation which yields:

\displaystyle c_{1}  =  \frac{1}{2}     \\  c_{2}   =   - \frac{1}{3}

finally substitute:

\displaystyle  a_{n}  =  \frac{1}{2}   (4)^{n }   -  \frac{1}{3}  (3) ^{n }

\displaystyle \boxed{ a_{n}  =    (2)^{2n-1 }   -   (3) ^{n -1}}

and we're done!

7 0
3 years ago
Macy makes 15 of 20 free throws at basketball practice. What is the experimental probability that she will miss her next free th
My name is Ann [436]

Step-by-step explanation:

she might lose 1/4 of the next free throws

7 0
3 years ago
Emy has 13 1/4 kilograms of sweet potatoes.She gave away 5 12 kilogramsof corn to her neighbors.how many kilograms of corn than
Ahat [919]

Answer:

2 1/4 kg

Step-by-step explanation:

4 0
1 year ago
4. The constant of proportionality between the height of the water in a sink (h) in centimeters and the number of minutes it has
RUDIKE [14]

Answer:

i got 38

Step-by-step explanation:

6 0
3 years ago
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