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Free_Kalibri [48]
3 years ago
11

7. Solve -4(6x + 3) = -12(x + 10).

Mathematics
1 answer:
Mama L [17]3 years ago
5 0
X=9 just solve the equation and combine like terms
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4 to the 3rd power - 3 to the 3rd power=
mylen [45]

Answer:

37

Step-by-step explanation:

5 0
4 years ago
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Two gears are adjusted so that the smaller gear drives the larger one. if the smaller gear of 3.7cm rotates through an angle of
zepelin [54]

Answer:

<em>The larger gear will rotate through 156°</em>

Step-by-step explanation:

<u>Arc Length</u>

The arc length S of an angle θ on a circle of radius r is:

S = \theta r

Where θ is expressed in radians.

The smaller gear of r1=3.7 cm drives a larger gear of r2=7.1 cm. The smaller gear rotates through an angle of θ1=300°.

Convert the angle to radians:

\displaystyle \theta_1=300*\frac{\pi}{180}=\frac{5\pi}{3}

The arc length of the smaller gear is:

\displaystyle S_1=\frac{5\pi}{3}\cdot 3.7

\displaystyle S_1=\frac{18.5\pi}{3}

The larger gear rotates the same arc length, so:

\displaystyle S_2=\frac{18.5\pi}{3}

\displaystyle \theta_2\cdot r_2=\frac{18.5\pi}{3}

Solving for θ2:

\displaystyle \theta_2=\frac{18.5\pi}{3r_2}

\displaystyle \theta_2=\frac{18.5\pi}{3*7.1}

\theta_2=2.73\ radians

\displaystyle \theta_2=2.73*\frac{180}{\pi}=156

The larger gear will rotate through 156°

7 0
3 years ago
Solve and type in a different form by using the given theorems of logarithms <br><br> log (10/y)=
Ulleksa [173]
I think it’s gonna be 1-log(y). You use the quotient rule of logarithms.

4 0
3 years ago
If a(x) = 3x + 1 and b(x) = x2, what is the value of a(b(5))?
Airida [17]

Answer:

a(b(5)) = 76

Step-by-step explanation:

Evaluate b(5) then substitute the value obtained into a(x)

b(5) = 5² = 25, then

a(25) = 3(25) + 1 = 75 + 1 = 76

4 0
3 years ago
Use the order of operations to evaluate the expression. (17+8)x(14-3)
ddd [48]

Answer:

225

Step-by-step explanation:

(17+8)*(14-3)=25*9=225

4 0
4 years ago
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