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Diano4ka-milaya
3 days ago
12

You've fallen into my trap! justin shouts, laughing like the madman he is. the mouse he captured stares back at him indifferentl

y as it munches on a piece of cheese at the bottom of a box whose base measures 1 2 12 cm12, space, c, m by 1 2 12 cm12, space, c, m.
Mathematics
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El perímetro de un rectángulo es 28cm, uno de los lados es 6cm más que el otro lado. Hallar el mayor lado del rectángulo.
Inessa [12570]

Answer: El lado mayor del rectángulo mide 10cm

Step-by-step explanation:

El perímetro de un rectángulo está dado por:

P = 2*L + 2*A

Donde L es la longitud y A es el ancho.

Como sabemos que un lado es 6cm más largo que el otro, podemos expresar esto como:

L = A + 6cm.

Por lo tanto, P = 28cm = 2*L + 2*A

Sustituyendo la primera ecuación en la segunda tenemos:

28cm = 2*(A + 6cm) + 2*A

28cm = 12cm + 4*A

28cm - 12cm = 4*A

16cm/4 = A

4cm = A.

Así que el ancho es 4 cm y la longitud se calcula como L = 4cm + 6cm = 10cm

4 0
3 months ago
The half-life of carbon-14, 14C, is approximately 5,730 years. A bone fragment is estimated to have originally contained 6 milli
tester [12383]
The general equation for exponential decay characterized by a half-life (T) is expressed as N(t) = N_0(1/2)^(t/T), where N(t) signifies the amount remaining at time t, N_0 stands for the initial amount (at t=0), and T denotes the half-life of the substance. The half-life of carbon-14 is about 5,730 years. When starting with 6 mg of carbon-14, the equation for the remaining amount after t years would be established.
6 0
1 month ago
1 kilogram is equivalent to about 2.2 pounds. An orangutan weighs 142 pounds. What is its mass in kilograms? Round your answer t
AnnZ [12381]

The weight of an orangutan is 64.5 kilograms

Solution:

It is stated that the orangutan's weight is 142 pounds

Additionally,

1 kilogram is approximately 2.2 pounds

We will now convert 142 pounds into kilograms

1 kilogram = 2.2 pounds

\text{1 pound } = \frac{1}{2.2} \text{ kilograms }

As a result, 142 pounds translates to

142 \text{ pound } = \frac{1}{2.2} \times 142 \text{ kilogrmas }

\rightarrow \frac{1}{2.2} \times 142 = 64.545 \text{ kilograms }

When rounding to the nearest tenth, we obtain 64.5 kilograms

Therefore the mass of the orangutan is 64.5 kilograms

3 0
2 months ago
If f(x) = 7 + 4x and g (x) = StartFraction 1 Over 2 x EndFraction, what is the value of (StartFraction f Over g EndFraction) (5)
lawyer [12517]

Response:

\frac{f}{g}(5) = 270 ⇒ Previous solution

Detailed breakdown:

* Given f(x) = 7 + 4x

* Given g(x) = \frac{1}{2x}

* We aim to determine \frac{f}{g}(5)

- Initially, let’s calculate \frac{f}{g}(x)

∵ f(x) = 7 + 4x

∵ g(x) = \frac{1}{2x}

∴ \frac{f}{g}(x)=\frac{7+4x}{\frac{1}{2x}}

- Let’s perform division of the numerator by the denominator

∵ The numerator is 7 + 4x

∵ The denominator is \frac{1}{2x}

∴ (7 + 4x) ÷ \frac{1}{2x}

- Now we will change the division sign to a multiplication sign and take the reciprocal of

the fraction following the division sign

∴ (7 + 4x) × \frac{2x}{1}

∴ \frac{f}{g}(x) = 2x(7 + 4x)

∴ \frac{f}{g}(x) = 14x + 8x²

- Next, substitute x with 5

∴ \frac{f}{g}(5) = 14(5) + 8(5)² = 70 + 200 = 270

∴ \frac{f}{g}(5) = 270

4 0
1 month ago
Read 2 more answers
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