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3 years ago

The hypotenuse of an isosceles right triangle is 14 sqrt 2. How long is each leg of the triangle?

1 answer:

6 0

Each leg is 14 because the hypotenuse of an isosceles right triangle is the length of either of its legs times the square root of 2. So each leg is 14 because both legs are equal in an isosceles triangle
Hope this helps!

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A bacteria colony increases in size at a rate of 4.0581e1.6t bacteria per hour. If the initial population is 36 bacteria, find t

Harrizon [31]

Answer:

1560

Step-by-step explanation:

The rate of Increase of the population (P) of the bacteria is given as:

$\frac{dP}{dt} =4.058e^{1.6t}$

$dP =4.058e^{1.6t}}dt\\Taking\: Integrals\\\int dP =4.058 \int e^{1.6t}dt\\P(t)=\frac{4.058}{1.6} (e^{1.6t} +K)\\P(t)=2.53625 (e^{1.6t} +K)$

Where k is a constant of Integration.

At t=0, P(t)=36

$36=2.53625 (e^{1.6*0} +K)\\36=2.53625 (e^{0} +K)\\36=2.53625 (1 +K)\\36=2.53625 +2.53625K\\K=13.19$

Therefore:

$P(t)=2.53625 (e^{1.6t} +13.19)\\At \: t=4\\P(4)=2.53625 (e^{1.6*4} +13.19)\\=1559.88\\P(4)=1560$

3 0

3 years ago

What equation is solved by the graphed systems of equations? Two linear equations that intersect at the point negative 1, negati

GuDViN [60]

To solve this problem, we have to manually solve for the value of x for each choices or equations. The correct equation will give a value of -1 since the linear equations intersects at point (-1, -4).

1st: 7x + 3 = x + 3

7x – x = 3 – 3

6x = 0

x = 0 (FALSE)

2nd: 7x − 3 = x – 3

7x – x = 3 – 3

6x = 0

x = 0 (FALSE)

3rd: 7x + 3 = x − 3

7x – x = - 3 – 3

6x = -6

x = -1 (TRUE)

4th: 7x − 3 = x + 3

7x – x = 3 + 3

6x = 6

x = 1 (FALSE)

Therefore the answer is:

7x + 3 = x − 3

6 0

3 years ago

Can someone help me solve this???

Vlad [161]

Answer: b

Explanation: cube root is equal to the power of 1/3
Multiply the exponents 24/3=8

3 0

3 years ago

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Given: j(x) = x2 - 2x + 1

kicyunya [14]

Answer:

{1, 0, 16}

Step-by-step explanation:

given..

j(x) = x^2-2x+1

put all given values of domain (1,0 and 5 ) in the equation..

the values you get are range of the function

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3 years ago

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xxTIMURxx [149]

Answer: Zoey sells over 50 boxes of cookies

Step-by-step explanation: The hypothesis is the “if” part in an if-then statement.

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3 years ago