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3 years ago

Factor completely x2 − 10x + 25.

Mathematics

2 answers:

earnstyle [38]3 years ago

7 0

X^2-10x+25 = (x-5)^2 or (x-5)(x-5)

iren [92.7K]3 years ago

6 0

Answer:

Step-by-step explanation:

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A chestnut falls out of a tree 45 feet above the ground. Use the vertical motion model, H=-16t^2+vt+s s to find how long it take

valentinak56 [21]

Answer:

1.7 seconds

Step-by-step explanation:

we have

$H=-16t^2+vt+s$

where

v is the initial velocity (in feet per second)

s represents the initial height (in feet)

In this problem we have

$v=0$ ---> because the object is dropped

$s=45\ ft$

substitute

$H=-16t^2+45$

Remember that

When the chestnut hit the ground the value of H is equal to zero

For H=0

$-16t^2+45=0$

solve for t

$16t^2=45\\t^2=2.8125\\t=\pm1.7\ sec$

therefore

The solution is t=1.7 sec

7 0

2 years ago

Suppose Bank One offers a certificate of deposit that pays $5,000 in four years for exchange for $4,000 today. What interest rat

vlada-n [284]

Answer:

Bank One is offering a simple interest rate of 6.25% per annum.

Step-by-step explanation:

Given that Bank One offers a certificate of deposit that pays $ 5,000 in four years for exchange for $ 4,000 today, to determine what interest rate is Bank One offering the following calculation must be performed:

(5000 - 4000) / 4 = X

1000/4 = X

250 = X

4000 = 100

250 = X

250 x 100/4000 = X

25000/4000 = X

6.25 = X

Therefore, Bank One is offering a simple interest rate of 6.25% per annum.

7 0

2 years ago

Which integral gives the area of the region in the first quadrant bounded by the graphs of y^2 = x − 1, x = 0, y = 0, and y = 2?

r-ruslan [8.4K]

Weird that the only choices are given as integrals with respect to $x$ . (Integration along the $y$ axis would be way easier, but whatever)

The fourth option should do it.

5 0

2 years ago

Help fast will give brainiest when 2 people answer but you have to show your work hurry help fast

Vika [28.1K]

Answer:

I don't see any attachment!

Step-by-step explanation:

3 0

2 years ago

Jason poured 1 gallon 1 quart of water into an empty 2-gallon bucket. How much more water can be added to reach the bucket's 2-g

Romashka [77]

Answer: 3 quart

Step-by-step explanation:

Given

Jason poured 1 gallon 1 quart of water into an empty 2 gallon bucket

1 gallon can be written as 4 quart

So, 2 gallon can be written as 8 quart

Subtract 1 gallon 1 quart(5 quart) from 2 gallon(8 quart) to get the volume added

$\Rightarrow 8-5\\\Rightarrow 3\ \text{quart}$

So, 3 quart of water must be added to reach 2 gallon capacity.

6 0

3 years ago