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3 years ago

How do you do r/12 =1.5 ??

Mathematics

1 answer:

Brrunno [24]3 years ago

7 0

Answer:

multiply by 12: r = 18

Step-by-step explanation:

Use the multiplication property of equality. It tells you that multiplying both sides of an equation by the same value does not change the values of any of the variables. Here we can multiply by 12 and we get ...

r(12/12) = 1.5(12)

Now, the properties of the identity element for multiplication come into play. When we multiply r by 12/12=1, we do not change the value of r, so we can simplify this to ...

r = 18

_____

We chose to multiply by 12 precisely because 12/12 = 1, and the result on the left side of the equation is r.

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Match each expression written in standard form to the equivalent expression in factored form

den301095 [7]

Answer:

1. 15x^7y^2 + 4x^3 => x^3(15x^4y^2 + 4)

2. 15x^7y^2 + 3x => 3x(5x^6y^2 + 1)

3. 15x^7y^2 + 6xy => 3xy(5x^6y + 2)

4. 15x^7 + 10y^2 => 5(3x^7 + 2y^2)

Step-by-step explanation:

To obtain the answer to the question, first let us factorise each expression. This is illustrated below:

1. 15x^7y^2 + 4x^3

Common factor is x^3, therefore the expression is written as:

x^3(15x^4y^2 + 4)

2. 15x^7y^2 + 3x

Common factor is 3x, therefore the expression is written as:

3x(5x^6y^2 + 1)

3. 15x^7y^2 + 6xy

Common factor is 3xy, therefore the expression is written as:

3xy(5x^6y + 2)

4. 15x^7 + 10y^2

Common factor is 5, therefore the expression can be written as:

5(3x^7 + 2y^2)

4 0

3 years ago

The distance between planets in two stellar systems is 1.6x10^6 miles. If a spaceship is able to travel at 8,400 miles per hour,

emmainna [20.7K]

Answer:

Yes it will be able to make the journey in under a year.

Step-by-step explanation:

To find out how many hours it will take $1.6*10^2$ and divide by 8400

$\frac{1.6*10^2}{8400} = 190.476 hr$

So it will take the space ship 190.476 hours to make the trip.

Next, ask our self, how many hours are in a year?

To find out multiply 365 * 24 = 8760 hr

The 365 = number of day in a year. The 24 = number of hours in a day.

Knowing how many hours there are in a year and how long the trip will take tells us that the journey can be made under a year since there are 8760 hours in a year and we know we can make it there in 190.476 hr traveling at 8400 mph

7 0

3 years ago

Use a double angle or half angle identity to find the exact value of each expression

STatiana [176]

Answer:

Step-by-step explanation:

There are 2 very distinct and important things that we need to know before completing the problem. First is that we are given that the cos of an angle is 1/3 (adjacent/hypotenuse) and it is in the first quadrant. We also need to know that the identity for sin2θ = 2sinθcosθ.

We already know cos θ = 1/3, so we need now find the sin θ. The sin ratio is the side opposite the angle over the hypotenuse, and the side we are missing is the side opposite the angle (we do not need to know the angle; it's irrelevant). Set up a right triangle in the first quadrant and label the base with a 1 (because the base is the side adjacent to the angle), and the hypotenuse with a 3. Find the third side using Pythagorean's Theorem:

$3^2=1^2+y^2$ which simplifies to

$9=1+y^2$ and

$y^2=8$ so

$y=\sqrt{8}=2\sqrt{2}$ so that's the missing side. Now we can easily determine that

$sin\theta=\frac{2\sqrt{2} }{3}$

Now we have everything we need to fill in the identity for sin2θ:

$2sin\theta cos\theta=2(\frac{2\sqrt{2} }{3})(\frac{1}{3})$ and multiply all of that together to get

$2sin\theta cos\theta=\frac{4\sqrt{2} }{9}$

4 0

3 years ago

How do i find a unit rate

Arada [10]

Answer:

numerator divided by denominator

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

For what interval is the value of (f – g)(x) negative?

mrs_skeptik [129]

Complete question:

Refer the attached diagram

Answer:

In reference to the attached figure, (-∞, 2) is the value where (f-g) (x) negative.

Step-by-step explanation:

From the attached figure, it shows that given data:

f (x) = x – 3

g (x) = - 0.5 x

To Find: At what interval the value of (f-g) (x) negative

So, first we need to calculate the (f-g) (x)

(f – g ) (x) = f (x) – g (x) = x-3 - (- 0.5 x)

⇒ (f - g) (x) =1.5 x - 3

Now we are supposed to find the interval for which (f-g) (x) is negative.

⇒ (f - g) (x) = x - 3+ 0.5 x = 1.5 x – 3 < 0

⇒ 1.5 x – 3 < 0

⇒ 1.5 x < 3

⇒ $x$

⇒ x < 2

Thus for (f - g) (x) negative x must be less than 2. Thereby, the interval is (-∞, 2). Function is negative when graph line lies below the x - axis.

7 0

3 years ago