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3 years ago

What is the value of n in the numerical sentence below?

Mathematics

2 answers:

Dmitrij [34]3 years ago

7 0

Answer:

The value of n=-2

Step-by-step explanation:

Given : The square root of 16 divided by $4^3 = 4^n$

To find : The value of n

Solution :

According to given statement,

The square root of 16 divided by $4^3 = 4^n$

$\frac{\sqrt{16}}{4^3}=4^n$

$\sqrt{16}=4^n\times 4^3$

Applying product rule when bases are same power is added

$x^m \cdot x^n= x^{m+n}$

$4=4^{3+n}$

According to exponential rule,

If $x^m=x^n\Rightarrow m=n$

So, $1=3+n$

$n=-2$

Therefore, The value of n is -2

solong [7]3 years ago

5 0

Use explanation in picture

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A taxicab charges $3.00 per person

Delicious77 [7]

Answer:

I believe the answer would be 20 miles max for one passenger.

Step-by-step explanation:

This is because if you create an equation out of this, knowing that only one passenger will be riding, you will get:

$3.00+$1.25x=$28 ($3 added too $1.25 times the number of miles (x) which equals the total amount you have ($28)).

x being the number of miles (so we need to calculate for x)

$3 + $1.25x = $28

-subtract 3 on both sides-

$1.25x=$28-$3

$1.25x=$25

-divide by 1.25 on both sides-

x=$25/$1.25

x=20 miles

Not sure if all calculations are correct, but I hope this helps :)!

6 0

2 years ago

Does anyone know how to do this?? Help please!!!!

Doss [256]

Answer:

When we have a rational function like:

$r(x) = \frac{x + 1}{x^2 + 3}$

The domain will be the set of all real numbers, such that the denominator is different than zero.

So the first step is to find the values of x such that the denominator (x^2 + 3) is equal to zero.

Then we need to solve:

x^2 + 3 = 0

x^2 = -3

x = √(-3)

This is the square root of a negative number, then this is a complex number.

This means that there is no real number such that x^2 + 3 is equal to zero, then if x can only be a real number, we will never have the denominator equal to zero, so the domain will be the set of all real numbers.

D: x ∈ R.

b) we want to find two different numbers x such that:

r(x) = 1/4

Then we need to solve:

$\frac{1}{4} = \frac{x + 1}{x^2 + 3}$

We can multiply both sides by (x^2 + 3)

$\frac{1}{4}*(x^2 + 3) = \frac{x + 1}{x^2 + 3}*(x^2 + 3)$

$\frac{x^2 + 3}{4} = x + 1$

Now we can multiply both sides by 4:

$\frac{x^2 + 3}{4}*4 = (x + 1)*4$

$x^2 + 3 = 4*x + 4$

Now we only need to solve the quadratic equation:

x^2 + 3 - 4*x - 4 = 0

x^2 - 4*x - 1 = 0

We can use the Bhaskara's formula to solve this, remember that for an equation like:

a*x^2 + b*x + c = 0

the solutions are:

$x = \frac{-b +- \sqrt{b^2 - 4*a*c} }{2*a}$

here we have:

a = 1

b = -4

c = -1

Then in this case the solutions are:

$x = \frac{-(-4) +- \sqrt{(-4)^2 - 4*1*(-1)} }{2*(1)} = \frac{4 +- 4.47}{2}$

x = (4 + 4.47)/2 = 4.235

x = (4 - 4.47)/2 = -0.235

5 0

2 years ago

Find the perimeter of a rectangle whose length is 15 cm and length of one diagonal is 17cm

Ulleksa [173]

Answer:

Step-by-step explanation:

first ,we use the Pythagorean theorem to determine the width:

width = √(17^2-15^2) = 8

then

perimeter = 2(width+lengt) = 2(8 + 15) = 2×23 = 46

6 0

3 years ago

Huilan is 15 years younger than Thomas. The sum of their ages is 33 . What is Thomas's age?

Sphinxa [80]

h = t - 15

h + t = 33

Because we have a value of h, we can plug it into the second equation to solve for t.

t - 15 + t = 33

Add 15 to both sides.

t + t = 48

Combine like terms.

2t = 48

Divide both sides by 2.

t = 24

<h3>Thomas's age is 24.</h3>

6 0

3 years ago

A survey of 125 randomly selected teens ages 13 to 16 found that 33 of them play soccer, 27 of them play basketball, 24 of them

iogann1982 [59]

I think it is "More teens play soccer than any other sport"

6 0

3 years ago