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labwork [276]
3 years ago
5

Will mark brainliest

Mathematics
2 answers:
lawyer [7]3 years ago
4 0

Answer:

0.118 seconds

Step-by-step explanation:

This is a distance-rate-time problem, so we need to use the formula: d = rt, where d is the distance, r is the rate, and t is the time.

Here, the distance is actually the height, which is 3.54*10^7 metres. The rate is 3.00*10^8 metres per second. Plug in these values to find t:

d = rt

3.54*10^7 = 3.00*10^8 * t

Divide both sides by 3.00*10^8:

t = 0.118 seconds

The answer is 0.118 seconds.

Rufina [12.5K]3 years ago
4 0

Answer:

0.118 seconds

Step-by-step explanation:

Speed = distance/time

3 × 10⁸ = (3.54 × 10⁷)/time

1/time = (3 × 10⁸)/(3.54 × 10⁷)

1/time = (30 × 10⁷)/(3.54 × 10⁷)

1/time = 8.474576271

time = 1/8.474576271

time = 59/500 = 0.118 seconds

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Domain is 0 to 50.

Step-by-step explanation:

0 \leq  x \leq  50

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The vector v⃗ in 2-space of length 3 pointing up at an angle of π/4 measured from the positive x-axis.
allsm [11]

The vector v in 2-space of length 3 pointing up at an angle of π/4 measured from the positive x-axis is: (3/√2, 3√2) and The vector w in 3-space of length 1 lying in the yz-plane pointing upward at an angle of 2π/3 measured from the positive y-axis is: (0, -1/2, √3/2).

<h3>Vector</h3>

a. Vector (v)

Vector (v)=v (cos Ф, sin Ф)

V=1 while the counterclockwise angle that is measured from positive x=Ф=π/4

Hence:

Vector=3(cos π/4, sinπ/4)

Vector=(3/√2, 3√2)

b. Vector w:

Vector w=1(0, cos 2π/3, sin2π/3)

Vector w=(0, -1/2, √3/2)

Therefore the vector v in 2-space of length 3 pointing up at an angle of π/4 measured from the positive x-axis is: (3/√2, 3√2) and The vector ws: (0, -1/2, √3/2).

The complete question is:

Resolve the following vectors into components:

a. The vector v in 2-space of length 3 pointing up at an angle of π/4 measured from the positive x-axis.

(b) The vector w in 3-space of length 1 lying in the yz-plane pointing upward at an angle of 2π/3 measured from the positive y-axis.

Learn more about vector here:brainly.com/question/25705666

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1 year ago
Determine how long it will take for a principal amount of $13,000 to double its initial value when deposited into an account pay
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Compound interest can be defined as the interest <em>on a deposited amount, an investment</em> that is <em>compounded based on its principal and interest rate.</em>

It will take about 3.239 years for the principal amount of $13,000 to double its initial value.

From the above question, we can deduce that we are to find the time "t"

The formula to find the time "t" in compound interest is given as:

t = ln(A/P) / r

where:

P = Principal = $13,000

R = Interest rate = 21.4%

A = Accumulated or final amount

From the question, the Amount "A" is said to be the double of the principla.

Hence,

A = $13,000 x 2

= $26,000

  • Step 1: First, convert R as a percent to r as a decimal

r = R/100

r = 21.4/100

r = 0.214 per year.

  • Step 2: Solve the equation for t

t = ln(A/P) / r

t = ln(26,000.00/13,000.00) / 0.214

t = 3.239 years

Therefore, it will take about 3.239 years for the principal amount of $13,000 to double its initial value.

To learn more, visit the link below:

brainly.com/question/22471957

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