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3 years ago

Please help me with this question, thanks.

Mathematics

1 answer:

arlik [135]3 years ago

8 0

Answer:

2.48×10^13 miles

Step-by-step explanation:

There are about (365.25 days)(86400 seconds/day) = 31,557,600 seconds in one year. There are 1609.344 meters in one mile. So, the conversion can be written as ...

(4.22 ly) (3×10^8 m/s) (3.15576×10^7 s/yr) / (1.609344×10^3 m/mi)

= 4.22×3×3.15576/1.609344×10^(8+7-3) mi

≈ 24.8×10^12 mi

4.22 light years is about 2.48×10^13 miles

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A number increased by fifteen is nineteen. A number increased by fifteen is nineteen.

elixir [45]

Answer:

the number is 4

Step-by-step explanation:

we can write this as

x + 15 = 19

now we transpose

x= 19-15

x= 4

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3 years ago

Write each ratio in the simplest form. (Note: remember the units of measurement, they must be the same!)

Natali [406]

Answer:

a. 5:2

Step-by-step explanation:

1 ft = 12 in

30:12

Divide by 6

30÷6=5

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So, the answer is 5:2

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2 years ago

Use linear approximation to approximate √25.3 as follows.

Sophie [7]

The idea is to use the tangent line to $f(x)=\sqrt x$ at $x=25$ in order to approximate $f(25.3)=\sqrt{25.3}$ .

We have

$f(x)=\sqrt x\implies f(25)=\sqrt{25}=5$

$f'(x)=\dfrac1{2\sqrt x}\implies f'(25)=\dfrac1{10}$

so the linear approximation to $f(x)$ is

$L(x)=f(5)+f'(5)(x-5)=5+\dfrac{x-5}{10}=\dfrac x{10}+\dfrac92$

Hence $m=\frac1{10}$ and $b=\frac92$ .

Then

$f(25.3)\approx L(25.3)=\dfrac{25.3}{10}+\dfrac92=\boxed{7.03}$

4 0

3 years ago

Which best describes the transformation that occurs from the graph of f(x)=x^2 to g(x)=(x-2)^2+3??

Leokris [45]

answer right 2, up 3

any function with the following form is a transformation from f(x) = x²

g(x) = (x – a)² + b

were a moves the function to the right when a is a positive number and to the left when its a negative number, and b moves the function up when b is positive and down when its negative.

then for a=2 positive and b=3 positive, we have

right 2, up 3

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2 years ago

Classify the following triangle based on its angle measures.

gavmur [86]

Answer:

D.) Right

Explanation:

A.) An obtuse triangle is where one of the internal angles is obtuse (greater than 90 degrees).

B.) An acute triangle is a triangle with three acute angles (less than 90°).

C.) A right triangle is where one of its interior angles is a right angle (90 degrees).

D.) An equiangular triangle is a triangle where all three interior angles are equal in measure.

4 0

3 years ago