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3 years ago

3X+[-1 -2] = [-13 -2] 10 -7 -5 14

Mathematics

1 answer:

Dvinal [7]3 years ago

6 0

Answer:

x= −668/3

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

3x−1−2=(−13−2)(10)−7−514

3x+−1+−2=−150+−7+−514

(3x)+(−1+−2)=(−150+−7+−514)(Combine Like Terms)

3x+−3=−671

3x−3=−671

Step 2: Add 3 to both sides.

3x−3+3=−671+3

3x=−668

Step 3: Divide both sides by 3.

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Please explain how to solve this step by step.

Phantasy [73]

Answer:

(a^8)/(b^9)

Step-by-step explanation:

Two rules of exponents come into play.

(a^b)/(a^c) = a^(b-c)

a^-b = 1/a^b

Applying the first rule, we have ...

(a^3)/(a^-5) × (b^-2)/(b^7) = a^(3 -(-5)) × b^(-2 -7) = a^8 × b^-9

Applying the second rule gives the simplified form ...

= (a^8)/(b^9)

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2 years ago

If you are 600 m from a batter when you see him hit a ball, how long will you wait to hear the sound of the bat hitting the ball

Molodets [167]

Answer:

The speed of sound at 20°C is 343.42 m/s.

You have to wait 1.75 seconds to hear the sound of the bat hitting the ball

Step-by-step explanation:

Speed of Sound

The speed of sound is not constant with temperature. Generally speaking, the greater the temperature, the greater the speed of sound.

The approximate speed of sound in dry air at temperatures T near 0°C is calculated from:

$\displaystyle v_{\mathrm {s} }=(331.3+0.606\cdot T )~~~\mathrm {m/s}$

The air is at T=20°C, thus the speed of sound is:

$\displaystyle v_{\mathrm {s} }=(331.3+0.606\cdot 20 )~~~\mathrm {m/s}$

$v_{\mathrm {s} }=343.42\ m/s$

The speed of sound at 20°C is 343.42 m/s.

To calculate the time to hear the sound after the batter hits the ball, we use the formula of constant speed motion:

$\displaystyle v=\frac{d}{t}$

Where d is the distance and t is the time. Solving for t:

$\displaystyle t=\frac{d}{v}$

Substituting the values v=343.42 m/s and d=600 m:

$\displaystyle t=\frac{600}{343.42}$

t = 1.75 s

You have to wait 1.75 seconds to hear the sound of the bat hitting the ball

6 0

3 years ago

Find the perimeter of a ruler that measures 6 inches by 5/6

alukav5142 [94]

Answer:

41/3

Step-by-step explanation:

6 + 6 + 5/6 + 5/6

3 0

3 years ago

Ivan is painting 3 walls in his living room. Each wall measures 9 3/4 feet tall by 14 1/4 feet wide. Ivan needs to estimate the

Alenkinab [10]

Answer:

The estimated area is $416\frac{13}{16}\ ft^{2}$

Step-by-step explanation:

we know that

To estimate the area that Ivan will paint , calculate the area of one wall and then multiply by 3

step 1

Convert the dimensions to an improper fractions

$9\frac{3}{4}\ ft=\frac{9*4+3}{4}=\frac{39}{4}\ ft$

$14\frac{1}{4}\ ft=\frac{14*4+1}{4}=\frac{57}{4}\ ft$

step 2

Find the area of one wall

$(\frac{39}{4})*(\frac{57}{4})=\frac{2,223}{16}\ ft^{2}$

step 3

Multiply the area of one wall by 3

$(3)*\frac{2,223}{16}=\frac{6,669}{16}\ ft^{2}$

step 4

Convert to mixed number

$\frac{6,669}{16}=\frac{6,656}{16}+\frac{13}{16}=416\frac{13}{16}\ ft^{2}$

4 0

3 years ago

What point is an x-intercept of the quadratic function f(x)=(x+6)(x-3)

Katyanochek1 [597]

X-intercept is (-6, 0) , (3, 0)

7 0

3 years ago