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Anastaziya [24]
3 years ago
5

Simplify (4^7/5^2)^3

Mathematics
2 answers:
Vlad [161]3 years ago
6 0

Answer:

281474976.7

Step-by-step explanation:

4⁷=16384

5²=25

16384/25=655.36

(655.36)³=281474976.7

Nuetrik [128]3 years ago
5 0

Answer:

4²¹/5⁶ or 4398046511104/15625

Step-by-step explanation:

Remember, when raising a term with an exponent to some power, you must multiply the powers.

(\frac{4^{7} }{5^{2} })^{3} \\\\ = (\frac{(4^{7})^{3} }{(5^{2})^{3} }) \\\\= \frac{4^{7 * 3} }{5^{2* 3} } \\\\= \frac{4^{21} }{5^{6} } \\\\=\frac{4398046511104}{15625}

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There are 16 marbles in a bowl: 3 are red, 6 are black, and 7 are green. Jimmy draws
tatiyna

Answer:

9/29 or about 31%

Step-by-step explanation:

6+3=9    6+3+7+16=29 so 9/29 (have a great time finishing the rest of your work) :)

7 0
4 years ago
Read 2 more answers
I need the slope -intercept form
KatRina [158]

Answer:

y=-3/4-2

Step-by-step explanation:

The slope or m is -3/4

The y-intercept or b is -2 so when using the formula y=mx+b you get y=-3/4-2

8 0
3 years ago
Los lados de un triángulo rectángulo miden 6m, 8m y 10m. respectivamente. ¿Cuánto medirán los catetos de un triángulo semejante
OlgaM077 [116]

Answer: Los catetos medirán 12m y 9m.

Step-by-step explanation:

Bueno, sabemos que los lados de nuestro triangulo son 6m, 8m y 10m.

Podemos usar relaciones trigonométricas para encontrar los ángulos de este triangulo.

Cos(X) = cateto adyacente/hipotenusa

Si tomamos al cateto adyacente como 8m, tenemos:

Cos(X) = 8m/10m

X = Acos(8/10)  

Esto nos dice que para que nuestro otro triangulo rectángulo sea equivalente al primero, entonces los nuevos catetos C1  y C2 tienen que ser tal que los cocientes entre los catetos y la hipotenusa se mantengan constantes:

C1/15m = 8m/10m

C1 = (8/10)*15m = 12m

C2/15m = 6m/10m  

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5 0
4 years ago
A rectangle swimming pool measures 22.3 feet by 75 feet find the perimeter of the swimming pool using the correct number of sign
Liula [17]
Perimeter = add all the sides

Pool has 4 sides
So
22.3 + 22.3 = 44.6
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7 0
4 years ago
The newest model of smart car is supposed to get excellent gas mileage. A thorough study showed that gas mileage (measured in mi
Anton [14]

Answer:

<em>D. 1 – NORM.DIST(100, 75, 10, TRUE)</em>

Step-by-step explanation:

<u>Excel's Normal Distribution</u>

The normal distribution has two parameters: the mean value \mu and the standard deviation \sigma. Since it's a symmetric function the values at the right side of the center value

The normal distribution is a function which integral cannot be expressed in terms of elemental functions. That is why the cumulative probability is usually found in tables, graphs or any digital media like Excel.

The formula NORM.DIST computes the cumulative values for the left tail or P( X < X_o) for a given mean and standard deviation. The parameters are

NORM.DIST (X_o,\mu,\sigma,cumulative)

This last parameter tells the formula we want the cumulative left-tail probability or just the value at Xo. This value must be set to TRUE to compute the probability for a range of values, like in the problem at hand.

Since the formula computes the left-tail of the function, we must take advantage of the symmetry of the distribution if we want to compute right-tail values we just subtract the result from 1.

Thus, the correct formula to calculate the required probability is

D. 1 – NORM.DIST(100, 75, 10, TRUE)

3 0
3 years ago
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