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katovenus [111]

2 years ago

8

you are taking a trip at the same time as another family. your family traveled 1.900 miles in 2 days, their family traveled 2.70

0 miles in 3 days. who is traveling faste

1 answer:

snow_tiger [21]2 years ago

6 0

Answer:

your family

Step-by-step explanation:

1,900/2 = 950

2,700/3 = 900

your family travels 950 miles every day whereas their family travels 900 miles every day :)

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What is 3x+(4x-6)=8x+1

Natasha2012 [34]

Answer:

X= -7

Step-by-step explanation:

8 0

2 years ago

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A regular decagon has 10 sides. How many reflectional symmetries does a regular decagon have?

lina2011 [118]

The rule for regular polygons are very easy. The number of reflectional symmetries is same as the number of sides. Regular polygons have all sides the same length and all angles same. Reflection symmetry means that you can fold the shape along that line and it will match up.

For this question, we want the number of reflectional symmetries of a regular decagon. Decagon is a 10 sided figure. Hence, the number of reflectional symmetries is 10.

There are 5 symmetry lines from one vertex to opposite vertex and 5 more symmetry lines form midpoint of one side to midpoint of opposite side.

ANSWER: 10

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3 years ago

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4th term of (4x-y)^9

Neko [114]

Now, let's do the same as we did for the previous one here.

$\bf (4x-y)^9\implies 
\begin{array}{llll}
term&coefficient&value\\
-----&-----&-----\\
1&+1&(4x)^9(-y)^0\\
2&+9&(4x)^8(-y)^1\\
3&+36&(4x)^7(-y)^2\\
4&+84&(4x)^6(-y)^3
\end{array}$

notice again, how did we get 84 for the 4th element's coefficient? well 36 * 7 / 3. and so on. And you can just expand it from there.

3 0

3 years ago

The position function for a free-falling object is s(t) = -16t^2 + vt +5. A ball is thrown upward from the top of a 400-foot bui

mixer [17]

Answer:

6.21 seconds

Step-by-step explanation:

The position function of a free-falling object is,

$s(t) = -16t^2+v_0t+s_0$

Where,

$s_0$ = initial height of the object,

$v_0$ = initial velocity of the object,

Here,

$s_0=400\text{ feet}$

$v_0=35\text{ feet per sec}$

Hence, the height of the ball after t seconds,

$s(t)=-16t^2+35t+400$

When s(t) = 0,

$\implies -16t^2+35t+400=0$

$t=\frac{-35\pm \sqrt{35^2-4\times -16\times 400}}{2\times -16}$

$t=\frac{-35\pm \sqrt{1225+25600}}{-32}$

$\implies t\approx -4.02\text{ or }t\approx 6.21$

∵ Time cannot be negative,

Hence, after 6.21 seconds the ball will reach the ground.

4 0

3 years ago

Emily is 68 years old. Colin is 17 years older than Emily. Dan is 16 years younger than Emily. What is the total of their combin

Oksanka [162]

Answer:

205 years

Step-by-step explanation:

E=68 years

C=E+17=68+17=85 years

D=E-16=68-16=52 years

Total=E+C+D=68+85+52=205 years

7 0

2 years ago