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kondor19780726 [428]

2 years ago

8

Which word describes a change or event that has happened because of another change or event?

2 answers:

olga nikolaevna [1]2 years ago

8 0

Answer:

effect

Step-by-step explanation:

zloy xaker [14]2 years ago

3 0

The effect ex. Because I did not do my homework this (effected) my grade
Hope this helps!!

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A turtle crawls 240 yards in 1 hour find the rate in feet per second

Mila [183]

240 yards per hour is 720 feet per hourto convert hours to seconds, divide 720 feet by 3600 seconds per hour to get0.2 feet/foot per secondOR1/5 feet/foot per second

7 0

3 years ago

What is the expansion of (3+x)^4

Vlad1618 [11]

Answer:

$\left(3+x\right)^4:\quad x^4+12x^3+54x^2+108x+81$

Step-by-step explanation:

Considering the expression

$\left(3+x\right)^4$

Lets determine the expansion of the expression

$\left(3+x\right)^4$

$\mathrm{Apply\:binomial\:theorem}:\quad \left(a+b\right)^n=\sum _{i=0}^n\binom{n}{i}a^{\left(n-i\right)}b^i$

$a=3,\:\:b=x$

$=\sum _{i=0}^4\binom{4}{i}\cdot \:3^{\left(4-i\right)}x^i$

Expanding summation

$\binom{n}{i}=\frac{n!}{i!\left(n-i\right)!}$

$i=0\quad :\quad \frac{4!}{0!\left(4-0\right)!}3^4x^0$

$i=1\quad :\quad \frac{4!}{1!\left(4-1\right)!}3^3x^1$

$i=2\quad :\quad \frac{4!}{2!\left(4-2\right)!}3^2x^2$

$i=3\quad :\quad \frac{4!}{3!\left(4-3\right)!}3^1x^3$

$i=4\quad :\quad \frac{4!}{4!\left(4-4\right)!}3^0x^4$

$=\frac{4!}{0!\left(4-0\right)!}\cdot \:3^4x^0+\frac{4!}{1!\left(4-1\right)!}\cdot \:3^3x^1+\frac{4!}{2!\left(4-2\right)!}\cdot \:3^2x^2+\frac{4!}{3!\left(4-3\right)!}\cdot \:3^1x^3+\frac{4!}{4!\left(4-4\right)!}\cdot \:3^0x^4$

$=\frac{4!}{0!\left(4-0\right)!}\cdot \:3^4x^0+\frac{4!}{1!\left(4-1\right)!}\cdot \:3^3x^1+\frac{4!}{2!\left(4-2\right)!}\cdot \:3^2x^2+\frac{4!}{3!\left(4-3\right)!}\cdot \:3^1x^3+\frac{4!}{4!\left(4-4\right)!}\cdot \:3^0x^4$

as

$\frac{4!}{0!\left(4-0\right)!}\cdot \:\:3^4x^0:\:\:\:\:\:\:81$

$\frac{4!}{1!\left(4-1\right)!}\cdot \:3^3x^1:\quad 108x$

$\frac{4!}{2!\left(4-2\right)!}\cdot \:3^2x^2:\quad 54x^2$

$\frac{4!}{3!\left(4-3\right)!}\cdot \:3^1x^3:\quad 12x^3$

$\frac{4!}{4!\left(4-4\right)!}\cdot \:3^0x^4:\quad x^4$

so equation becomes

$=81+108x+54x^2+12x^3+x^4$

$=x^4+12x^3+54x^2+108x+81$

Therefore,

$\left(3+x\right)^4:\quad x^4+12x^3+54x^2+108x+81$

6 0

3 years ago

a boat travels 252 miles in 13 hours (with a constant speed) How much time will it take traveling 279 miles?

Ilya [14]

Answer: 14.4 h

The speed is : $v=\frac{d}{t} =\frac{252}{13} =19.46$ $miles/h\\$

The time it takes to travel 279 miles :

$t'=\frac{d}{v} =\frac{279}{19.46} =14.4 hours$

4 0

3 years ago

What is the value of x in the equation 4 and StartFraction 3 Over 10 EndFraction minus (2 and two-fifths x + 5 and one-half) = o

musickatia [10]

Answer:

5

Step-by-step explanation:

Edge i think dont quote me on this plz

3 0

3 years ago

A. -7x+5<br> B. -7x-35<br> C. -7x+35<br> D. x-35

liubo4ka [24]

Answer:

B

Step-by-step explanation:

p(x) = r(x) * s(x)

= (x + 5) *(-7) {Use distributive property}

= x * -7 + 5 * -7

= - 7x - 35

5 0

3 years ago

Read 2 more answers