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KIM
12 days ago
8

Two fifths of the square of the number j in algebraic exprission

Mathematics
2 answers:
AnnZ [3.8K]12 days ago
8 0

Final Answer: \dfrac{2}{5}j^2

Detailed Explanation:

The stated mathematical phrase : "two-fifths of the square of the variable j "

To express the given phrase in algebraic terms.

The square of the variable j can be noted as j^2

and two-fifths can be denoted as \dfrac{2}{5}

Therefore, the resulting algebraic expression is:-

\dfrac{2}{5}j^2

Inessa [3.9K]12 days ago
5 0
Two-fifths (\frac{2}{5}) of the square of the variable j (j²)

\frac{2}{5}j²
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A small-appliance manufacturer finds that the profit P (in dollars) generated by producing x microwave ovens per week is given b
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Answer:

The amount of ovens that must be produced in a week to earn a $1610 profit is 70.

Step-by-step explanation:

Given:

A small-appliance manufacturer determines the profit P (in dollars) from producing x microwave ovens weekly by the formula:

P=\frac{1}{10}x(300-x)

with 0 ≤ x ≤ 200.

The target profit is $1610

So, set P = 1610, then solve for x:

1610=\frac{1}{10}x(300-x)

Multiply both sides by 10:

1610\cdot \:10=\frac{1}{10}x\left(300-x\right)\cdot \:10

16100=x\left(300-x\right)

16100=300x-x^2

-x^2+300x-16100=0

Next, factor the quadratic:

(x-70)(x-230)=0

Solving for x gives:

x=70,x=230

Since x=230 is outside the domain 0 ≤ x ≤ 200, we discard it.

Hence, the valid solution is x=70.

Therefore, to achieve a $1610 profit, the manufacturer must produce 70 ovens weekly.


7 0
14 days ago
The equation f = v + at represents the final velocity of an object, f, with an initial velocity, v, and an acceleration rate, a,
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<span>Starting with the equation f = v + at

Subtract v on both sides:

f - v = at

Divide both sides by a:

(f - v) / a = t

Swap the sides:

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4 0
14 days ago
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La ganancia de Brad fue del 30%

Explicación adicional:

La ganancia es el dinero obtenido al vender un producto por encima de su costo original.

La fórmula para calcular la ganancia es:

Profit= Selling\ price-Purchase\ price

Datos:

Precio de compra del paquete de bebidas energéticas = £9.25

Precio de venta por botella = £1

Precio total por 12 botellas = 1 * 12 = £12

Ganancia = Precio de venta - Precio de compra

= 12 - 9.25

= £2.75

Así, la ganancia de Brad fue de £2.75

Luego,

Porcentaje de ganancia = (Ganancia / Precio de compra) * 100

= (2.75 / 9.25) * 100

= 0.30 * 100

= 30%

La ganancia de Brad fue del 30%

Palabras clave: Ganancia, pérdida

Aprende más sobre ganancia y pérdida en:

  • brainly.com/question/10978510
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Of 162 students honored at an academic awards banquet, 48 won awards for mathematics and 78 won awards for English. There are 14
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Answer: 56/81

Step-by-step explanation:

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Juan has $10 to spend. He needs $13 to purchase the supplies. Explain how to find the amount of money Juan is short.
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Sample Answer: To determine the difference between 10 and 13, you apply the concept of additive inverses. Juan is lacking $3 to buy his supplies.


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