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Alenkasestr [34]
2 years ago
15

An object oscillates as it moves along the

Mathematics
1 answer:
Sauron [17]2 years ago
5 0

Using it's formula, it is found that the displacement between t= 0  and t = 1 second is of 0 m.

The equation of motion is given by:

x(t) = 4\sin{\left(\pi t + \frac{\pi}{6}\right)}

The <em>displacement </em><u>between t= 0  and t = 1 second</u> is given by:

d = x(1) - x(0)

Hence:

x(1) = 4\sin{\left(\pi + \frac{\pi}{6}\right)} = 4\sin{\left(\frac{7\pi}{6}\right)} = -\frac{4}{2} = -2

x(0) = 4\sin{\left(\frac{\pi}{6}\right)} = \frac{4}{2} = 2

Then:

d = x(1) - x(0) = -2 + 2 = 0

The displacement is of 0 m.

You can learn more about displacement at brainly.com/question/248054

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You have been asked to build a scale model of your school out of toothpicks. imagine your school is 30 feet tall. your scale is
sveticcg [70]
Since your scale is 1ft:1.26cm, a 30-ft tall school would need to have a 30*1.26=37.8 cm model. Dividing this by how tall each toothpick is, you'll get:

\frac{37.8}{6.3} =6

ANSWER: The model would be 6 toothpicks tall.

To find out how many cotton swabs you'll need, we just divide 37.8 by how tall each swab is:

\frac{37.8}{7.7} =5

ANSWER: The model would be 5 cotton swabs tall.
4 0
3 years ago
Solve for x. Show each step please . Circle your final answer. <br> 2(8-12x)+8x= -25x+52
Vera_Pavlovna [14]

Answer:

x = 4

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

2(8−12x)+8x=−25x+52

(2)(8)+(2)(−12x)+8x=−25x+52(Distribute)

16+−24x+8x=−25x+52

(−24x+8x)+(16)=−25x+52(Combine Like Terms)

−16x+16=−25x+52

−16x+16=−25x+52

Step 2: Add 25x to both sides.

−16x+16+25x=−25x+52+25x

9x+16=52

Step 3: Subtract 16 from both sides.

9x+16−16=52−16

9x=36

Step 4: Divide both sides by 9.

9x/9 = 36/9

x = 4

8 0
3 years ago
What is 600 minus 258?
lyudmila [28]

Answer:

342

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
X/-10 -4 = 16 what's the compute ?
grin007 [14]

Answer:

x=-200

Step-by-step explanation:

x/-10 -4 = 16

Add 4 to each side

x/-10 -4+4 = 16+4

-x/10 = 20

Multiply each side by -10

-x/10 *-10 =-10*20

x = -200

4 0
3 years ago
3x = y and x - 2y = 10​
Svetlanka [38]

Answer: Rewrite equations:

3x=y;x−2y=10

Step: Solve3x=yfor y:

3x=y

3x+−y=y+−y(Add -y to both sides)

3x−y=0

3x−y+−3x=0+−3x(Add -3x to both sides)

−y=−3x

−y

−1

=

−3x

−1

(Divide both sides by -1)

y=3x

Step: Substitute3xforyinx−2y=10:

x−2y=10

x−23x=10

−5x=10(Simplify both sides of the equation)

−5x

−5

=

10

−5

(Divide both sides by -5)

x=−2

Step: Substitute−2forxiny=3x:

y=3x

y=(3)(−2)

y=−6(Simplify both sides of the equation)

Step-by-step explanation:

6 0
3 years ago
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