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3 years ago

Frank decided to keep track of his sleep using a fitness tracker. He was surprised to

Mathematics

1 answer:

Andreyy893 years ago

6 0

Answer: 5%

Step-by-step explanation:

First and foremost, we need to know that 60 minutes = 1 hour. Therefore,

7 hours = 60 × 7 = 420 minutes.

Number of minutes awake = 21 minutes

Number of minutes supposed to be asleep = 7 hours = 420 minutes

The percentage of the seven hours that Frank was awake during the night will be:

= 21/420 × 100

= 1/20 × 100.

= 5%

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What is the solution to 8(2x + 3) = 48?

Tom [10]

You have to start by using the distributive property. So you take the number next to the parentheses which is “8” and you multiply it with “2x”. This gives you “16x”. Then you multiply “8” with “3” and that gives you “24”. You now have the equation “16x + 24 = 48”.
The next step is to subtract “24” with “48”. This leaves you with “24”. Then you now have “16x = 24” as your new equation. The last step is to divide “16x” with “16”, this cancels it out with itself. Then you divide “24” with “16” and you get 1.5. So “X” equals 1.5 or you can convert it into a fraction witch gives you “3/4”.

6 0

3 years ago

Jackie deposited $315 into a bank account that earned 1.5% simple interest each year.

Brrunno [24]

Answer:

copied from InesWalston expert

Money in the bank account after 3 years will be $329.18

Step-by-step explanation:

Jackie deposited $315 into a bank account that earned 1.5% simple interest each year for 3 year, while no money was deposited into or withdrawn from the account.

We know that,

i = p.r.t / 100

Where,

i = interest

P = Principal = $315

r = Rate of interest = 1.5% annual

t = time period = 3 years

Putting the values,

i = 315 × 1.5 × 3 / 100 = $14.18

Total money in bank account = Principal + interest = 315 + 14.18 = $329.18

3 0

3 years ago

Hey i need some help

velikii [3]

Answer:

perimeter = 30 ft

Step-by-step explanation:

13 + 5 + 12 = perimeter = 30 ft

7 0

3 years ago

Given the parametric equations x = 2sint and y = -3cost on 0 ≤ t ≤ π. convert to a rectangular equation and sketch the curve

Temka [501]

The rectangular equation for given parametric equations x = 2sin(t) and y = -3cos(t) on 0 ≤ t ≤ π is $\frac{x^{2} }{4} +\frac{y^2}{9} =1$ which is an ellipse.

For given question,

We have been given a pair of parametric equations x = 2sin(t) and y = -3cos(t) on 0 ≤ t ≤ π.

We need to convert given parametric equations to a rectangular equation and sketch the curve.

Given parametric equations can be written as,

x/2 = sin(t) and y/(-3) = cos(t) on 0 ≤ t ≤ π.

We know that the trigonometric identity,

sin²t + cos²t = 1

⇒ (x/2)² + (- y/3)² = 1

⇒ $\frac{x^{2} }{4} +\frac{y^2}{9} =1$

This represents an ellipse with center (0, 0), major axis 18 units and minor axis 8 units.

The rectangular equation is $\frac{x^{2} }{4} +\frac{y^2}{9} =1$

The graph of the rectangular equation $\frac{x^{2} }{4} +\frac{y^2}{9} =1$ is as shown below.

Therefore, the rectangular equation for given parametric equations x = 2sint and y = -3cost on 0 ≤ t ≤ π is $\frac{x^{2} }{4} +\frac{y^2}{9} =1$ which is an ellipse.

Learn more about the parametric equations here:

brainly.com/question/14289251

#SPJ4

7 0

2 years ago

A telemarketer calls people and tries to sell them a subscription to a daily newspaper. On 24% of her calls, there is no answer

Paul [167]

Answer:She sells subscriptions to 10% of the remaining calls

Step-by-step explanation:

5 0

3 years ago