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kobusy [5.1K]
3 years ago
12

Someone help me please

Mathematics
1 answer:
Hoochie [10]3 years ago
7 0
x²-6x=7
We need to complete square
x²-2*3x+3²=7+3²
x²-6x+9 =7+9
(x-3)² = 16
√(x-3)²=+/-√16
x-3=+/-4
x-3=4 and x-3=-4
x=7,    Largest
x= - 1 ,   Smallest
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Step-by-step explanation:

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Fynjy0 [20]

Answer:

Which of these sentences from the excerpt most strongly supports the correct answer to Question 5?

Answer choices for the above question

Quesiton 5 says

Which of these inferences about the author’s point of view is best supported by the entire excerpt?

From: The Immortal Life of Henrietta Lacks" lesson

A. “She’s simply called HeLa, the code name given to the world’s first immortal human cells—her cells, cut from her cervix just months before she died.”

B. “I’ve spent years staring at that photo, wondering what kind of life she led, what happened to her children, and what she’d think about cells from her cervix living on forever—bought, sold, packaged, and shipped by the trillions to laboratories around the world.”

C. “One scientist estimates that if you could pile all HeLa cells ever grown onto a scale, they’d weigh more than 50 million metric tons—an inconceivable number, given that an individual cell weighs almost nothing.”

D. “All of the stories mentioned that scientists had begun doing research on Henrietta’s children, but the Lackses didn’t seem to know what that research was

Step-by-step explanation:

Which of these sentences from the excerpt most strongly supports the correct answer to Question 5?

Answer choices for the above question

Quesiton 5 says

Which of these inferences about the author’s point of view is best supported by the entire excerpt?

From: The Immortal Life of Henrietta Lacks" lesson

A. “She’s simply called HeLa, the code name given to the world’s first immortal human cells—her cells, cut from her cervix just months before she died.”

B. “I’ve spent years staring at that photo, wondering what kind of life she led, what happened to her children, and what she’d think about cells from her cervix living on forever—bought, sold, packaged, and shipped by the trillions to laboratories around the world.”

C. “One scientist estimates that if you could pile all HeLa cells ever grown onto a scale, they’d weigh more than 50 million metric tons—an inconceivable number, given that an individual cell weighs almost nothing.”

D. “All of the stories mentioned that scientists had begun doing research on Henrietta’s children, but the Lackses didn’t seem to know what that research was

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DanielleElmas [232]

Answer:

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Step-by-step explanation:

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8 0
2 years ago
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If we are given x such that 25^x-9^y=18 and 5^x-3^y=3, compute 5^x+3^y.
leonid [27]

25 = 5*5 and 9 = 3*3, which we can exploit to write

25^x-9^y=(5^2)^x-(3^2)^y=5^{2x}-3^{2y}=(5^x)^2-(3^y)^2

so that this expression is actually a difference of squares. We can factorize this to get

(5^x-3^y)(5^x+3^y)=18

and given that 5^x-3^y=3, we divide both sides by this to get

5^x+3^y=\dfrac{18}3=\boxed{6}

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We take a milk carton from the refrigerator and put it on the table at room temperature. We assume that the temperature of the c
Kisachek [45]
We can solve this problem using separation of variables.

Then apply the initial conditions

EXPLANATION

We were given the first order differential equation

\frac{dT}{dt}=k(T-a)

We now separate the time and the temperature variables as follows,

\frac{dT}{T-a}=kdt

Integrating both sides of the differential equation, we obtain;

ln(T-a)=kt +c

This natural logarithmic equation can be rewritten as;

T-a=e^{kt +c}

Applying the laws of exponents, we obtain,

T-a=e^{kt}\times e^{c}

T-a=e^{c}e^{kt}

We were given the initial conditions,

T(0)=4

Let us apply this condition to obtain;

4-20=e^{c}e^{k(0)}

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Now our equation, becomes

T-a=-16e^{kt}

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T=20-16e^{kt}

b) We were also given that,

T(5)=8

Let us apply this condition again to find k.

8=20-16e^{5k}

This implied

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We take logarithm to base e of both sides,

ln(\frac{3}{4})=5k

This implies that,

\frac{ln(\frac{3}{4})}{5}=k


k=-0.2877

After 15 minutes, the temperature will be,


T=20-16e^{-0.2877\times 15}

T=20-0.21376


T=19.786

After 15 minutes, the temperature is approximately 20°C


6 0
3 years ago
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