MATHEMATICS HIGH SCHOOL

A radio signal travels at 3.00 • 10^8 meters per second. How many seconds will it take for a radio signal to travel from a satellite to the surface of Earth if the satellite is orbiting at a height of 3.54 • 10^7 meters? Show your work.would the answer be rate=3*10^8m/s
distance=3.6*10^7m
time=distance/rate=3.6/30 ???

Answers

Answer 1
Answer: The answer is 0.118 seconds.

The velocity (v) is the distance (d) divided by time (t):
v = d ÷ t

It is given:
v = 3.00 × 10⁸ meters per second
d = 3.54 × 10⁷ meters

It is unknown:
t = ?

If:
v = d ÷ t
Then:
t = d ÷ v
t = 3.54 × 10⁷ meters ÷ 3.00 × 10⁸ meters/second
t = 1.18 × 10⁻¹ seconds
t = 0.118 seconds

Therefore, radio signal will travel from a satellite to the surface ofEarth 0.118 seconds.

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A cylindrical water bottle with a height of 20 cm and diameter of 5.5 cm is filled with water until it is full. Vincent wants to transfer the water in the bottle into a cubic container. State the minimum length of a side of the cube. Can anyone help to explain this question for me?

Answers

Step-by-step explanation:

the volume of a cylinder is

ground area × height

the ground area is a circle, and the area of a circle is

pi×r²

with r being the radius, which is always half of the diameter.

so, in our case

r = 5.5/2 = 2.75 cm

height = 20 cm

so, the volume of the cylinder is

pi×2.75² × 20 = pi×7.5625×20 = 475.1658889... cm³

the volume of a cube is

(side length)³

and the side length of a cube is therefore the cubic root of the volume.

now the volume of the cube has to be at least a large as the volume of the cylinder to be able to contain all the water from the cylinder.

so, the side length has to be at least the cubic root of that volume (475.1658889... cm³).

which is 7.803361957... cm.

The ages of amit and archana are in ratio 4:5. If amit is 4 years 8 months old, find the age of archana

Answers

1 yr = 12 months...so 4 yrs = (12 x 4) = 48 months + 8 months = 56 months

4/5 = 56/x
cross multiply
4x = 280
x = 280/4
x = 70 months = 5 yrs and 10 months
convert 4 years 8 months into months=56 months
4+5=9
4/5 * X=56
x=280/4=70
therefore to find archana's age
5/9*70=39 months=3 years and 3 months

If t = 10m + 40 models this scenario,t = total cost;
m = number of months;

Which of the following statements is true?

O A. The total cost will increase by $40 for every 10 months that pass.
B. The total cost will increase by $10 for every 40 months that pass.
C. The total cost will increase by $10 for every month that passes.
D. The total cost will increase by $40 for every month that passes.

Answers

The answer is d ...........................

One day, a person went to a horse racing area. Instead of counting the number of humans an horses, he conuted 74 heads and 196 legs. How many humans and horses were there?A.
37 humans and 98 horses
B.
24 horses and 50 humans
C.
31 horses and 74 humans
D.
24 humans and 50 horses




99 POINTS

Answers

A human has 1 head and 2 legs.
A horse has 1 head and 4 legs.

Let's make two equations from what we know.

There were a total of 74 heads.
There were a total of 196 legs.

Let's call humans 'x' and horses 'y'

The total number of heads were 74.
Humans have 1 head, and so do horses.

Our first equation is:
x + y = 74

There were a total of 196 legs. 
Humans have 2 legs, and horses have 4 legs.

Our second equation is:
2x + 4y = 196

Our two equations are:

x + y = 74
2x + 4y = 196

We need to solve this system of equations to find out how many humans and horses were at this racing event.

Multiply the first equation by 2.

2(x + y) = 2(74)
2x + 2y = 148

Our two equations are:

2x + 2y = 148
2x + 4y = 196

Subtract the first equation from the second equation.

2x - 2x + 2y - 4y = 148 - 196
2y - 4y = 148 - 196
-2y = - 48

Divide both sides by -2

y = 24

That means that there were 24 horses.

We can plug back in y = 24 into our first equation to find out how many humans there were.

x + y = 74
x + 24 = 74
x + 24 - 24 = 74 - 24
x = 50

There were 50 humans.

At the horse racing event, there were 24 horses and 50 humans.

Your final answer is B. 24 horses and 50 humans.
50 +24 =74 heads  50 x 2 = 100 human legs 4 x 24 = 96 horse legs 100 + 96 =196 legs total. So b will be your final answer.

Tasha is measuring the charge c(t) in a battery that has been charged for t minutes. Which of the following is the most appropriate domain for c(t)?A.Positive integers only
B.All real numbers
C.All positive numbers
D.All integers

Answers

c(t)

In a function the domain is all the values of t while the range is all the values of c(t).

Since t represents time in minutes, most appropriate domain for c(t) is A. Positive integers only.

Positive integers are numbers that starts with 1 and so on...

Using standard form, writean equation to represent a
line passing through (-6.10)
with a slope of -1.

Answers

Answer:

y= -1x +4

Step-by-step explanation:

So if you meant (-6,10) then I have solved it.

Writing this in y= mx+b form we already have M

y= -1x + b

So let’s substitute by putting in then y and x

10 = -1(-6) + b

10 -6= 6 -6+ b

4 = b
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