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dimulka [17.4K]
3 years ago
11

The planet Mercury orbits around the sun at 29.74 miles per second. How many miles will mercury travel in 1 minute?

Mathematics
1 answer:
zaharov [31]3 years ago
6 0
29.74*60=1,784.4
Mercury will travel 1,784 miles in a minute.
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7-18 use part 1 of the fundamental theorem of calculus to find the derivative of the function.
blondinia [14]

\displaystyle h(x)=\int\limits_{1}^{\sqrt{x}}~\cfrac{z^2}{z^4+1}dz~\hspace{10em}\cfrac{dh}{du}\cdot \stackrel{chain~rule}{\cfrac{du}{dx}\implies \cfrac{dh}{dx}} \\\\[-0.35em] ~\dotfill\\\\ u=\sqrt{x}\implies \cfrac{du}{dx}=\cfrac{1}{2\sqrt{x}} \\\\[-0.35em] ~\dotfill

\cfrac{dh}{dx}\implies \displaystyle \cfrac{d}{du}\left[ \int\limits_{1}^{u}~\cfrac{z^2}{z^4+1}dz \right]\cdot \cfrac{1}{2\sqrt{x}}\implies \left[ \cfrac{u^2}{u^4+1} \right]\cdot \cfrac{1}{2\sqrt{x}} \\\\\\ \stackrel{substituting~back}{\left[ \cfrac{(\sqrt{x})^2}{(\sqrt{x})^4+1} \right]\cdot \cfrac{1}{2\sqrt{x}}}\implies \cfrac{x}{x^2+1}\cdot \cfrac{1}{2\sqrt{x}}\implies \cfrac{\sqrt{x}}{2x^2+2}

7 0
1 year ago
Se desea pintar un cuadrado inscrito en una circunferencia de radio R=3cm como se muestra en la figura. Calcular el área del cua
Leno4ka [110]

Answer:

El área del cuadrado es de 3 centímetros cuadrados.

Step-by-step explanation:

Dado que se desea pintar un cuadrado inscrito en una circunferencia de radio R=3cm como se muestra en la figura, para calcular el área del cuadrado se debe realizar el siguiente cálculo:

Radio = diámetro / 2

3 = X/2

X = 6

Hipotenusa del triángulo interno: 6 cm

Aplicando teorema pitagórico: lado al cuadrado mas lado al cuadrado es igual a hipotenusa al cuadrado.

L^2 + L^2 = 6

2L^2 = 6

L^2 = 6/2

L = √ 3

L = 1.732

Área de un cuadrado = L x L = L^2 = 3

Por lo tanto, el área del cuadrado es de 3 centímetros cuadrados.

3 0
2 years ago
Read 2 more answers
For a scale of 1cm: 12km what is the actual length represented by 1.7 cm
madreJ [45]
It would be 20.4 km because if 1cm is 12km then you just have to multiply 1.7 x 12 = 20.4. 
7 0
3 years ago
Pleaseeeee help me i really need this
lisov135 [29]

Answer:

A for Circle=2pi*r and A for Square= b*h, then find the difference between the two

Step-by-step explanation:

7 0
2 years ago
What is the value of the expression? −1/4+3/8 5/8 Enter your answer in simplest form.
galina1969 [7]
Decimal form
-0.015625

Exact form
-1/60
Negative one over sixty
7 0
3 years ago
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