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Nataly_w [17]
3 years ago
6

smiddle" class="latex-formula">
Mathematics
1 answer:
Rudiy273 years ago
6 0

Answer:

X= -3 and X= -5

Step-by-step explanation:

(x+3)(x+5)= 0

-Set factors equal to 0

X+3 = 0 X+5 = 0

(Move the 3 on the other side of the equal sign just by subtracting it from zero. After that, do the same for 5)

And you get: X= -3 and X= -5

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Step-by-step explanation:

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Square root of 3x+7=x-1
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you can't find the square root of a negative

Step-by-step explanation:

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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)}

-16=e^{c}

Now our equation, becomes

T-a=-16e^{kt}

or

T=a-16e^{kt}

When we substitute a=20,
we obtain,

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

-12=-16e^{5k}

\frac{-12}{-16}=e^{5k}

\frac{3}{4}=e^{5k}

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


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Zina [86]

A prism always has two bases. All the other faces it has are called lateral faces.
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Factor 16x2 + 121 over the set of complex numbers.<br> Enter your answer in the box.
aliya0001 [1]

Answer:

(4x - 11i)(4x -+11i)

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note that i² = - 1

Given

16x² + 121

= (4x)² - (11i)²

= (4x - 11i)(4x + 11i)

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2 years ago
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