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4 months ago

Which expression can be used to convert 100 USD to Japanese yen

Mathematics

2 answers:

lawyer [12.5K]4 months ago

8 0

As of 12:04 EST in the U.S.

$1=<span>112.624847 Yen

Thus:

100USD(112.624847Y/1USD)=11262.62 Yen</span>

Leona [12.6K]4 months ago

4 0

Response:

100USD = 99.30487 YEN/ 1USD

Explanation step-by-step:

Detailed explanation

This scenario involves motion with constant acceleration.

The relevant variables include the following.

$\boxed{u \ or \ v_i = initial \ velocity}$

$\boxed{u \ or \ v_t \ or \ v_i = terminal \ or \ final \ velocity}$

$\boxed{a = acceleration \ (constant)}$

$\boxed{d = distance \ travelled}$

We know the flea attains a takeoff velocity of 1.0 m/s over a distance of 0.50 mm.

The flea starts from rest, so the initial velocity is zero. The question asks for the flea's acceleration during leg extension.

The equation we apply is:

$\boxed{ \ v^2 = u^2 + 2ad \ }$

a = acceleration (m/s²)
u = initial speed = 0 m/s
v = takeoff velocity = 1.0 m/s
d = displacement = 0.50 mm

First, convert 0.50 mm to meters: $\boxed{0.50 \ mm = 0.50 \times 10^{-3} \ m = 5.0 \times 10^{-4} \ m}$

Solution steps:

Rearrange the formula to isolate acceleration (a).

$\boxed{ \ v^2 = u^2 + 2ad \ }$

$\boxed{ \ v^2 - u^2 = 2ad \ }$

$\boxed{ \ 2ad = v^2 - u^2 \ }$

$\boxed{ \ a = \frac{v^2 - u^2}{2d} \ }$

Insert the given values into the rearranged equation.

$\boxed{ \ a = \frac{(1.0)^2 - (0)^2}{2(5.0 \times 10^{-4})} \ }$

$\boxed{ \ a = \frac{1}{10 \times 10^{-4}} \ }$

$\boxed{ \ a = \frac{1}{1 \times 10^{-3}} \ }$

$\boxed{ \ a = 1 \times 10^{3}\ = 1,000 \ m/s^2 \ }$

This yields the flea's acceleration as 1,000 m/s².

Additional resources

Scientific notation: brainly.com/question/7263463
Determining substance mass: brainly.com/question/4053884
Conversion into cubic units: brainly.com/question/1446243

Keywords: flea, jumping, leg extension, takeoff velocity, initial speed, displacement, acceleration, constant acceleration, unit conversion

5 0

4 months ago

Read 2 more answers

Find the GCF of monomials 34s^2t and 96st^2

tester [12383]

Provide the GCF for the monomials 34s^2t and 96st^2.

6 0

2 months ago

PATS, PETE AND KOFFI ANNUAL SALARIES AGGREGATE TO 200,000.00 A YEAR PETE MAKES $11000.00 MORE THAN KOFFI AND PAT MAKES $1000.00

zzz [12365]

Respuesta:

El salario mensual de Koffi: $3500 ($42000 anuales)

Salario mensual de Pete: $4416.7 ($53000 anuales)

Salario mensual de Pat: $8750 ($105000 anuales)

Explicación paso a paso:

Sea x el salario anual de Pat

Sea y el salario anual de Pete

Sea z el salario anual de Koffi

Según el enunciado, sus salarios anuales suman $200000 es decir, x + y + z= $200000

Pete gana $11000 más que Koffi anualmente, lo que significa que y = $11000 + z

Pat gana $1000 menos que el doble (×2) del salario anual de Pete, es decir, x = 2y - $1000

Así, tenemos 3 ecuaciones:

(1)..... x + y + z= $200000

(2).... y = $11000 + z

(3).... x = 2y - $1000

Primero, sustituimos y en la ecuación (3), es decir,

x = 2(11000 + z) - 1000

x = 22000 + 2z - 1000

x = 21000 + 2z............ (4)

Luego incorporamos las ecuaciones (4) y (2) en la ecuación (1) para encontrar z:

x + y + z = 200000

21000 + 2z + 11000 + z + z = 200000

4z + 32000 = 200000

4z = 200000 - 32000

4z = 168000

z = 42000

Así que z (salario anual de Koffi) es de $42000.

Para conocer y, sustituimos z en la ecuación (2).

y = 11000 + z

y = 11000 + 42000

y = 53000

Por lo tanto, y (salario anual de Pete) es de $53000

Para hallar x, sumamos $42000 y $53000, y restamos de $200000 es decir, 42000 + 53000 = 95000

200000 - 95000 = 105000

Por lo tanto, x (salario anual de Pat) es de $105000.

Para obtener el salario mensual de cada individuo, dividimos su salario anual entre 12:

Koffi (z) = 42000/12 = $3500

Pete (y) = 53000/12 = $4416.7

Pat (x) = 105000/12 = $8750

4 0

3 months ago