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3 years ago

Evaluate 21 - n for n = 3 * please help me with this

Mathematics

2 answers:

Alinara [238K]3 years ago

8 0

21-3=18 because n=3 and you’re just subtracting

qwelly [4]3 years ago

4 0

Answer:

Step-by-step explanation:

21-n; n=3

Substitute n for 3:

21-3

Solve.

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4 years ago

Simplify this expression! (27)^-2/3

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3 years ago

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What is the probability of flipping two coins at the same time and getting heads on both coins?

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3 years ago

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The light intensity I (in lumens) at a depth of x feet in Lake Elizabeth is given by the formula log (StartFraction Upper I Ove

antiseptic1488 [7]

Answer:

The light intensity at a depth of 24 feet is 3.0143 lumens.

The light intensity will be 7 lumenus at the depth of 9.3732 feet approximately.

Step-by-step explanation:

Consider the provided formula.

$log(\frac{I}{12})=-0.025x$

Where I is the intensity of light and x is the depth.

Part (A) Find the light intensity at a depth of 24 feet.

Substitute x=24 in above formula.

$log(\frac{I}{12})=-0.025(24)$

$log(\frac{I}{12})=-0.6$

$\frac{I}{12}=10^{-0.6}$

$\frac{I}{12}=0.2512$

$I=3.0143$

Hence, the light intensity at a depth of 24 feet is 3.0143 lumens.

Part (B) At what depth is the light intensity 7 lumens

Substitute I=7 in above formula.

$log(\frac{7}{12})=-0.025x$

$-0.23433=-0.025x$

$0.23433=0.025x$

$x=\frac{0.23433}{0.025}$

$x=9.3732$

Hence, the light intensity will be 7 lumenus at the depth of 9.3732 feet approximately.

3 0

3 years ago

The focus of a parabola is (-10, -7), and its directrix is x = 16. Fill in the missing terms and signs in the parabola's equatio

avanturin [10]

Answer: (y-3)^2= 52(x+7)

The focus is (-10, -7) and the directrix is x=16. The y-coordinate of the vertex should be same as the focus(k=-7). Then the x-coordinate of the vertex would be:
p + (-10)= 16 - p
2p= 16 + 10
p=26/2= 13

The x-coordinate of the vertex would be:
h= p+ (-10)
h= 13 - 10= 3

The vertex coordinate would be: (h, k)= (3, -7)
For a vertex (h, k), the formula for equation would be
(y-k)^2=4 p(x-h)
(y-3)^2= 4*13(x--7)
(y-3)^2= 52(x+7)

7 0

3 years ago