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3 years ago

A

Mathematics

1 answer:

Llana [10]3 years ago

3 0

Answer:

V = 4.84 × 10⁷ km³

Step-by-step explanation:

Volume of Sphere = $\frac{4}{3}\pi r^3$

Where r = 3400 km

V = $\frac{4}{3} (3.14)(3400)^3$

V = (4)(3.14)(11,560,000)/3

V = 48,422,415 km³

Upto 3 sfs:

V = 4.84 × 10⁷ km³

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Multiply the rational expressions: Divide the rational expressions:

Montano1993 [528]

Answer:

1). $\frac{2}{(x+1)}$

2). $\frac{x^2}{2(x+1)}$

Step-by-step explanation:

For multiplication of the rational expressions,

$\frac{x}{(x+1)}\times \frac{2}{x}$

= $\frac{2x}{x(x+1)}$

= $\frac{2}{(x+1)}$

For division of the rational expressions,

$\frac{x}{(x+1)}\div \frac{2}{x}$

= $\frac{x}{(x+1)}\times \frac{x}{2}$

= $\frac{x^2}{2(x+1)}$

[When the divisor is a rational expression or a rational number, we change the sign from division to multiplication and reciprocate or flip the fraction.

This is applicable for division of the rational expressions only].

4 0

3 years ago

Roger can run one mile in 21 minutes. Jeff can run one mile in 18 minutes. If Jeff gives Roger a 1 minute head start, how long

elena-14-01-66 [18.8K]

Answer:

Step-by-step explanation:

Step 1

Data of Roger,

Roger runs 1 mile in 21 minutes.

So, Rate by which Roger is running = 1/21 mile/ minute.

Let, Roger runs for x minutes.

So, total distance ran by Roger = rate * time = x/21 mile.

Step 2

Data of Jeff,

Jeff runs 1 mile in 18 minutes.

So, Rate by which Jeff is running = 1/18 mile/ minute.

As Jeff gives Roger a 1 minute head start, so Jeff will run for (x-1) minutes.

So, total distance ran by Jeff = rate * time = (x-1)/18 mile.

Step 3

Equation:

distance = distance

x/21 = (x-1)/18

18x = 21x-21

3x = 21

x = 7 minutes (Roger time)

Roger will run rt = (1/21)7= 1/3 mile

x-1 = 6 minutes (Jeff time)

Jeff will run rt = (1/18)6 = 1/3 mile

3 0

4 years ago

A gallon of gasoline costs $2.96. Your car has a 25-gallon gas tank and can travel 28.8 miles on each gallon of gasoline. You ta

Andreas93 [3]

Answer:

$70.56

Step-by-step explanation:

Lets convert the mixed number (trip length) to decimal.

We know 3/5 (by long division) is 0.6, so 705 3/5th = 705.60 miles

Now, let's come to the problem:

1 gallon = 28.8 miles (mileage)

$2.96 = 28.8 miles

To find cost per mile, we divide:

$\frac{2.96}{28.8}=0.10$

That means, it costs $0.10 per mile

Since we want to travel 705.60 miles, we multiply to find the cost:

$0.10 per mile * 705.60 miles = $70.56

6 0

4 years ago

What are the domain and range and asympote of h(x)=6^x -4?

jeka94

Answer:

Domain: (-oo, oo)

Range: (-4,oo)

Horizontal asymptote: y=-4

3 0

4 years ago

Read 2 more answers

What is the solution to the equation? t(8 – 3) = 2 • 8 – 2 • 3 A. 3 B. –3 C. 8 D. 2

galina1969 [7]

$t(8-3)=2 \times 8 -2 \times 3 \\
t(8-3)=2(8-3) \\
t=2$

The answer is D. 2.

7 0

3 years ago