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Irina-Kira [14]
3 years ago
5

Y 2 + 5y Choose the constant term that completes the perfect square trinomial.

Mathematics
1 answer:
mafiozo [28]3 years ago
7 0
Given: y²+5y
Converting y²+5y in the form: x²+2ax+a²
Here 2a=5 or a=5/2
Add and subtract (5/2)²
y²+5y+(5/2)²-(5/2)²   
Complete the square.
(y+5/2)²-(5/2)²
Simplify
(y+5/2)² - 25/4

Answer: (y+5/2)² - 25/4

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In the formula A(t) = A0ekt, A(t) is the amount of radioactive material remaining from an initial amount A0 at a given time t an
Alenkasestr [34]

Answer:  693 years

Step-by-step explanation:

Expression for rate law for first order kinetics is given by:

A(t) =A_0e^{kt}

k = rate constant

t = time taken for decomposition = 1

A_0 = Initial amount of the reactant

A_t = amount of the reactant left =A_0-\frac{0.1}{100}\times A_0=0.999A_0

0.999A_0=A_0e^{k\times 1}

0.999=e^k

k=-0.001year^{-1}

for half life : t=t_\frac{1}{2}

A_t=\frac{1}{2}A_o

Putting in the values , we get

\frac{1}{2}A_0=A_0e^{-0.001\times t_\frac{1}{2}

t_\frac{1}{2}=693 years

Thus half life of this isotope, to the nearest year is 693.

8 0
3 years ago
2×2=<br><img src="https://tex.z-dn.net/?f=2%20%2B%202%20%3D%20" id="TexFormula1" title="2 + 2 = " alt="2 + 2 = " align="absmiddl
alisha [4.7K]

Answer:

they both equal 4

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Please help this is due in 20 mins, I will give brainliest
eduard

Answer:

L = 5\sqrt{10}

Step-by-step explanation:

use Pythagorean Theorem:

L² + (5\sqrt{2})² = (10\sqrt{3})²

L² + 25(2) = 100(3)

L² + 50 = 300

L² = 250

L = \sqrt{250} = \sqrt{25} · \sqrt{10} = 5\sqrt{10}

6 0
2 years ago
Read 2 more answers
The table shows the price for shoe rental, games, and snacks at the bowling alley
monitta
First, find the total price she would have had to pay (without tax):
2.75+ 3(2.5)+ 1.75=12
If she has half-price multiply the total price by 0.5:
12(.5)=6
Her total price without tax is $6.

The answer is B) $6.00
Hope I helped...
6 0
3 years ago
help!!! Find x- and y-intercepts. Write ordered pairs representing the points where the line crosses the axes. y=2x+4
zhannawk [14.2K]

y- intercept = (0, 4), x-intercept = (- 2, 0)

to find the intercepts let x = 0 and y = 0 in the equation

x = 0 → y = 0 + 4 =4 ⇒ y-intercept (0, 4)

y = 0 → 2x + 4 = 0 ⇒ x = - 2 ⇒ x- intercept(- 2, 0)


8 0
2 years ago
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