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KATRIN_1 [288]
3 years ago
6

Rewrite as a logarithmic equation. e^(7)=y

Mathematics
1 answer:
jolli1 [7]3 years ago
5 0
E^7 = y --->(Add ln on both sides) lne^7 = ln y ---> (Bring down the power) (7)×lne = ln y ---> ( lne = 1 ) 7 = ln y
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Which of the following is a factor of both f(x)=x^2-4x-45 and g(x)=x^2-25
wolverine [178]

Answer:

-5

Step-by-step explanation:

x² - 4x - 45 = 0

(x - 9)(x + 5) = 0

x = 9 or -5

x² - 25 = 0

(x + 5)(x - 5) = 0

x = 5 or -5

-5 is a common factor between both of them

8 0
2 years ago
How do perform the equation x-(4x-2y)-5y
cluponka [151]

Answer:

-3x - 7y

Step-by-step explanation:

x - (4x - 2y) - 5y

x - 4x - 2y - 5y

Combine like terms

x - 4x = -3x

-2y - 5y = -7y

Now, we have our final answer:

-3x - 7y

7 0
2 years ago
How can I figure out this math problem: Stanley ran a 5 kilometer race in 30 minutes. What was his speed in kilometers per hour?
stiv31 [10]
Since the question is asking for the time units to be in hours, you want to convert 30 minutes to an hour; 0.5

We’re able to use the basic motion formula for velocity to work out this question.

Velocity = distance / time
Velocity = 5 / 0.5
Velocity = 10km/h

Therefore, Stanley’s average speed was 10 kilometres per hour. :)
3 0
2 years ago
Find parametric equations for the path of a particle that moves along the circle x2 + (y − 1)2 = 16 in the manner described. (En
ArbitrLikvidat [17]

Answer:

a) x = 4\cdot \cos t, y = 1 + 4\cdot \sin t, b) x = 4\cdot \cos t, y = 1 + 4\cdot \sin t, c) x = 4\cdot \cos \left(t+\frac{\pi}{2}  \right), y = 1 + 4\cdot \sin \left(t + \frac{\pi}{2} \right).

Step-by-step explanation:

The equation of the circle is:

x^{2} + (y-1)^{2} = 16

After some algebraic and trigonometric handling:

\frac{x^{2}}{16} + \frac{(y-1)^{2}}{16} = 1

\frac{x^{2}}{16} + \frac{(y-1)^{2}}{16} = \cos^{2} t + \sin^{2} t

Where:

\frac{x}{4} = \cos t

\frac{y-1}{4} = \sin t

Finally,

x = 4\cdot \cos t

y = 1 + 4\cdot \sin t

a) x = 4\cdot \cos t, y = 1 + 4\cdot \sin t.

b) x = 4\cdot \cos t, y = 1 + 4\cdot \sin t.

c) x = 4\cdot \cos t'', y = 1 + 4\cdot \sin t''

Where:

4\cdot \cos t' = 0

1 + 4\cdot \sin t' = 5

The solution is t' = \frac{\pi}{2}

The parametric equations are:

x = 4\cdot \cos \left(t+\frac{\pi}{2}  \right)

y = 1 + 4\cdot \sin \left(t + \frac{\pi}{2} \right)

7 0
3 years ago
What’s 448+1.75+80.3 step by step
Serga [27]

Answer:

530.05

Step-by-step explanation:

you add 448 and 1.75 together, which is 449.75, then you add 449.75 and 80.3 together, which adds up to 80.3 hope this helps :)

6 0
3 years ago
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