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kotegsom [21]
3 years ago
13

What acceleration will result when a 12 N force is applied to a 6 kg object?

Mathematics
1 answer:
masha68 [24]3 years ago
3 0

Hi there!

\large\boxed{2 m/s^{2}}

Use the equation F = m · a where:

F = Force (N)

m = mass (kg)

a = acceleration (m/s²)

Plug in the given values:

12 = 6a

Divide both sides by 6:

12/6 = a

a = 2 m/s²

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nuala drives to her grandma's. she drives at 20 miles per hour. the journey takes 50 miles. how long would the journey take if N
ddd [48]

Answer:

1 hour and 15 minutes

Step-by-step explanation:

Nuala drives 20 miles per hour, which makes the trip 2 hours and 30 minutes long. If Nuala drove at 40 miles per hour, the trip would take 1 hour and 15 minutes. Why? Because:

40 miles per hour

50 miles- 40 miles=10 miles (that makes 1 hour already)

so now we figure out how long it takes for 10 miles at the speed of 40 miles per hour.

10/40=1/4 and 1/4 of an hour or 60 minutes is 15 minutes.

Therefore, it would take Nuala 1 hour and 15 minutes if she drove 40 miles per hour.

Hope this helped!

3 0
3 years ago
Find a formula for the inverse of the function. f(x) = e^6x − 9
STatiana [176]

Answer:

f^{-1}(x)=\frac{1}{6}\ln(x+9)

Step-by-step explanation:

So we have the function:

f(x)=e^{6x}-9

To solve for the inverse of a function, change f(x) and x, change the f(x) to f⁻¹(x), and solve for it. Therefore:

x=e^{6f^{-1}(x)}-9

Add 9 to both sides:

x+9=e^{6f^{-1}(x)}

Take the natural log of both sides:

\ln(x+9)=\ln(e^{6f^{-1}(x)})

The right side cancels:

\ln(x+9)=6f^{-1}(x)

Divide both sides by 6:

f^{-1}(x)=\frac{1}{6}\ln(x+9)

And we're done!

7 0
3 years ago
A map has a scale of 5 inches = 4 miles. How many miles are 45 inches?
creativ13 [48]
36 miles your welcome also can I please have brainliest
7 0
3 years ago
If your input is 7 what is your output?
Jobisdone [24]

Answer:

the answer would be 32 then. you start with 7 then add 1 then Multiple by 4 which equals 32

3 0
3 years ago
Read 2 more answers
One positive number exceeds another by 2, and their product is 80. Find the numbers​
katen-ka-za [31]

Answer:

The Answer is: The first number is 10 and the second number is 8.

Step-by-step explanation:

Let f = first number and s = second number.

The first number is 2 larger than the second:

f = n + 2

The numbers times each other is 80:

f * n = 80

Substitute the value of f, which is (n + 2):

n(n + 2) = 80

n^2 + 2n = 80

n^2 + 2n - 80 = 0

(n + 10)(n - 8) = 0

n^2 + 10n - 8n - 80 = 0, so the first number is 10 and the second one is 8.

Another method, just from thinking about it:

factor 80:

8 * 10, is the first factoring I thought of. I then noted that the difference between the two is 2 and if you multiply them they equal 80.

Hope this helps! Have an Awesome Day!! :-)

6 0
3 years ago
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