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2 years ago

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A train was traveling at a constant speed. The table below shows the distance, in miles, the train traveled the first 4 hours, W

hat equation can be used to represent the relationship between t, the time, and d, the distance traveled by the train?

1 answer:

myrzilka [38]2 years ago

5 0

Answer:

need please

Step-by-step explanation:

it's for today please help me

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The volume of a cube is related to the area of a face by the formula V = A^3/2What is the volume of a cube whose face has an are

Sveta_85 [38]

Answer:

$\huge\boxed{1000 \ \text{cm}^3}$

Step-by-step explanation:

There are two ways we can solve this equation.

<h2>A) Using the formula provided</h2>

The formula provided states that the volume of a cube based on the area of one of it's faces will be $a^{\frac{3}{2}}$ , a the area of one face. Since we know the area of one face, we can substitute that inside the equation.

$100^{\frac{3}{2}}$

It's important to note that when we have a number to a fraction power, it's the same as taking the denominator root of the base to the numerator power.

So - $100^{\frac{3}{2}}$ becomes $\sqrt{100^3}$

$100^3=1000000$

$\sqrt{1000000}=1000$

Therefore, the volume of this cube will be $1000 \ \text{cm}^3$

<h2>B) Using prior knowledge about cubes</h2>

We can additionally use prior knowledge to find the volume of this cube.

We know that the area of a square will be $s^2$ , where s is the length of a side. We also know the formula to find the volume of a cube from it's side length is $s^3$ .

Since we know that one face is 100, we can make an equation - $s^2=100$

$\sqrt{s^2}=\sqrt{100}$
$s=10$

Now that we know the value of s, we can plug it into the volume formula, $s^3$ .

$10^3$
$10 \cdot 10 \cdot 10$
$1000$

So the volume is $1000 \ \text{cm}^3$ .

Hope this helped!

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3 years ago

In ΔABC, a = 300 inches, ∠B=45° and ∠C=41°. Find the length of c, to the nearest 10th of an inch.

dezoksy [38]

Answer:

197.3

Step-by-step explanation:

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3 years ago

HELP!! Simplify the expression 3y^2 • 4x^2y • 5x Using the laws of exponents. Show each step of your work.

JulsSmile [24]

<span>3y^2 • 4x^2y • 5x = (3*4*5) * (</span><span>y^2 * y) * (</span><span>x^2*x) = 60 * y^3 * x^3 = 60 (xy)^3

</span>where ((<span>y^2 * y)) adding the powers in case of multiplication

and also for this:</span><span> (<span>x^2*x)</span> </span>

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Isaac has had the same 2 credit cards for 10 years. He has a total credit limit of $12,000. He never makes late payments, and hi

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D. He will have a low credit score.

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A math class has 3 girls and 7 boys in the 7th grade and 5 girls and 5 boys in the 8th grade the teacher randomly selects a seve

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