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zheka24 [161]
3 years ago
12

Manuel's division is shown.

Mathematics
2 answers:
Margaret [11]3 years ago
7 0
24 /a+3is the answer..................
HOPE IT HELPS YOU '_'
Marrrta [24]3 years ago
4 0

Answer:

\frac{24}{a+3}

Step-by-step explanation:

Dividend = a^{2} -4a+3

Divisor =a+3

Using long division method.

Dividend= (Divisor * Quotient)+Remainder

a^{2} -4a+3=([a+3]*a)+(-7a+3)

a^{2} -4a+3=([a+3]*[a-7])+(24)

Thus the remainder is 24

Since Manuel left the calculation : -7a+3-(-7a-21)= -7a+3+7a+21= 24

Solving his left calculation further we get the remainder 24.

Hence the remainder over divisor is \frac{24}{a+3}

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A cylindral drill with radius 5 cm is used to bore a hole through the center of a sphere with radius 9 cm. Find the volume of th
masya89 [10]

The volume of the ring-shaped remaining solid is <u>1797 cm³</u>.

The volume is the total space occupied by an object.

The volume of a sphere of radius r units is given as (4/3)πr³.

The volume of a cylinder with radius r units and height h units is given as πr²h.

In the question, we are asked to find the volume of the remaining solid when a sphere of radius 9cm is drilled by a cylindrical driller of radius 5cm.

The volume will be equal to the difference in the volumes of the sphere and cylinder, where the height of the cylinder will be taken as the diameter of the sphere (two times radius = 2*9 = 18) as it is drilled through the center.

Therefore, the volume of the ring-shaped remaining solid is given as,

= (4/3)π(9)³ - π(5)²(18) cm³,

= π{972 - 400} cm³,

= 572π cm³,

= 1796.99 cm³ ≈ 1797 cm³.

Therefore, the volume of the ring-shaped remaining solid is <u>1797 cm³</u>.

Learn more about volumes of solids at

brainly.com/question/14565712

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3 0
1 year ago
A local grocery store chain has a sushi stand. That sushi stand makes samples for store customers to entice customers to purchas
Liula [17]

Answer: 0.99822

Step-by-step explanation:

Our inter-arrival time follows Poisson distribution with parameter 14 which is in hour so first we have to calculate this in minutes as we have to calculate probability in minutes.

So converting 14 into minutes will give  \frac{14}{60}=0.233

Let X=inter-arrival time between two customers

and here \lambda = 0.233

Probability(X is less than or equal to 2 minutes) = P(X=0) + P(X=1) + P(X=2)

Now the Poisson distribution has PDF = \frac{\exp ^{-\lambda }\times \lambda ^{X}}{X!}

So P(X = 0) = \frac{\exp ^{-0.233}\times 0.233^{0}}{0!} = 0.79215

P(X= 1) = \frac{\exp ^{-0.233}\times 0.233^{1}}{1!} = 0.18457

P(X=2) = \frac{\exp ^{-0.233}\times 0.233^{2}}{2!} = 0.02150

Now adding all three probability gives =  0.79215 +0.18457 + 0.02150=0.99822

3 0
3 years ago
If a tightrope walker falls, he will land on a safety net. His height h in feet after a fall can be modeled by h(t) = 60 - 16t2,
hjlf
As we know that
<span>h = 60 - 16t^2 </span>
<span>t = sqrt((60 - h)/16) </span>
<span>= sqrt((60 - 11)/16) </span>
<span>= 1.75
hope it helps</span>
7 0
3 years ago
What is -3m - 8(m + 1)?
alexira [117]

Answer: -11m-8


Step-by-step explanation:

-3m x -8m= -11m-8


4 0
3 years ago
Read 2 more answers
Which equation represents the function described by this table?
ale4655 [162]

Answer:

F(x)=x+7  the answer is A

Step-by-step explanation:

You can see the table is adding positive 7 to each number on the X column because -8+7=-1, -2+7=5, 5+7=12, 7+7=14. I PROMISE ITS RIGHT :)

7 0
3 years ago
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