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3 years ago

Rewrite the expression 5(6 + 9) as the sum of 30 and another whole number.

Mathematics

2 answers:

KATRIN_1 [288]3 years ago

5 0

Answer:

30 + 45

Step-by-step explanation:

5(6 + 9) = 5*6 + 5*9 = 30 + 45

lapo4ka [179]3 years ago

4 0

Answer:

30 +45

Step-by-step explanation:

5(6 + 9)

Distribute the 5

5*6 +5*9

30 +45

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Can 1=2? I DON"T KNOW!

pshichka [43]

nope not at all lol

Step-by-step explanation:

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3 years ago

A roller coaster's height from the ground is modeled by r(t) = 4sin(4t)+25 where t is time in minutes. A Ferris wheel's height f

GuDViN [60]

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3 years ago

A= 1,321 +0.3433m

noname [10]

Answer:

Option A: For each increase of 1 gram in mass, A increases by approximately 0.3433 square centimeter.

Step-by-step explanation:

We are given the function;

A= 1321 + 0.3433m

To find the rate of increase of the area, we will find the derivative of the function. Thus;

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Looking at the given options, the one that corresponds to our answer is Option A

7 0

3 years ago

I really stuck on trying to prove this

Alisiya [41]

$\displaystyle\sum_{r=1}^nr(r+1)\cdots(r+p-1)$

When $n=1$ ,

$\displaystyle\sum_{r=1}^1r(r+1)\cdots(r+p-1)=1(1+1)(1+2)\cdots(1+p-2)(1+p-1)=p!$

Meanwhile, you have on the right

$\dfrac{(1)(1+1)(1+2)\cdots(1+p-2)(1+p-1)(1+p)}{p+1}=(1)(1+1)(1+2)\cdots(p-1)(p)=p!$

so the equality holds for $n=1$ .

Assume it holds for $n=k$ , i.e. that

$\displaystyle\sum_{r=1}^kr(r+1)\cdots(r+p-1)=\frac{k(k+1)(k+2)\cdots(k+p-1)(k+p)}{p+1}$

Now for $n=k+1$ , you have

$\displaystyle\sum_{r=1}^{k+1}r(r+1)\cdots(r+p-1)=\sum_{r=1}^kr(r+1)\cdots(r+p-1)+(k+1)(k+2)\cdots(k+1+p-1)$
$=\displaystyle\frac{k(k+1)(k+2)\cdots(k+p-1)(k+p)}{p+1}+(k+1)(k+2)\cdots(k+1+p-2)(k+1+p-1)$
$=\displaystyle\frac{k(k+1)(k+2)\cdots(k+p-1)(k+p)}{p+1}+(k+1)(k+2)\cdots(k+p-1)(k+p)$
$=\left(\dfrac k{p+1}+1\right)(k+1)(k+2)\cdots(k+p-1)(k+p)$
$=\dfrac{k+p+1}{p+1}(k+1)(k+2)\cdots(k+p-1)(k+p)$
$=\dfrac{(k+1)(k+2)\cdots(k+p-1)(k+p)(k+p+1)}{p+1}$

as required.

3 0

3 years ago

5X - 2X + 7 - X = no solution

saveliy_v [14]

If you simply the expression it would give you 2x+7 .

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3 years ago