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2 years ago

Evaluate 4+(m-n)^4 when m =7 and n = 5

Mathematics

1 answer:

Masja [62]2 years ago

6 0

Answer:

20.

Step-by-step explanation:

Plugging m = 7 and n = 5 into the given expression:

Answer = 4 + (7 - 5)^4

= 4 + 2^4

= 4 + 16

= 20.

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True OR False:<br><br> 105 is the square root of 455

Klio2033 [76]

Answer:

false

Step-by-step explanation:

it is 21.33

6 0

3 years ago

Read 2 more answers

If a tank holds 5000 gallons of water, which drains from the bottom of the tank in 40 minutes, then Torricelli's Law gives the v

pochemuha

Answer:

V'(t) = $-250(1 - \frac{1}{40}t)$

If we know the time, we can plug in the value for "t" in the above derivative and find how much water drained for the given point of t.

Step-by-step explanation:

Given:

V = $5000(1 - \frac{1}{40}t )^2$ , where 0≤t≤40.

Here we have to find the derivative with respect to "t"

We have to use the chain rule to find the derivative.

V'(t) = $2(5000)(1 - \frac{1}{40} t)d/dt (1 - \frac{1}{40}t )$

V'(t) = $2(5000)(1 - \frac{1}{40} t)(-\frac{1}{40} )$

When we simplify the above, we get

V'(t) = $-250(1 - \frac{1}{40}t)$

If we know the time, we can plug in the value for "t" and find how much water drained for the given point of t.

4 0

3 years ago

Hawaii 0.288% = what fraction

Sindrei [870]

Answer:

36⁄125 or if we are talking about the lowest term it is 9 /3125

Step-by-step explanation:

Step 1: 0.288 = 288⁄1000

Step 2: Simplify 288⁄1000 = 36⁄125 Percent" or "%" means "out of 100" or "per 100",

<em>Or for the lowest term:</em>

Therefore 0.288% can be written as

0.288

100

Next, we can multiply by

in the form of

1000

to eliminate the decimal in the numerator:

1000

0.288

100

⇒

1000

0.288

1000

100

⇒

288

100000

We can now reduce the fraction as:

288

100000

⇒

3125

⇒

3125

⇒

3125

4 0

2 years ago

Which expression equals a number that is NOT a rational number?

rewona [7]

$\frac{3\pi.3^3}{7}$ is not included as a rational number !

<u>Step-by-step explanation:</u>

Here we have , following expressions & we need to identify which of the following is not a rational number . Let's find out:

We know that , Rational Number : A number which can be expressed in form of p/q , where q is not equal to zero !

Here Expressions are:

$\frac{3\pi . 3^3}{7\pi}$ :

Let's evaluate this expression

⇒ $\frac{3(\pi) ( 3^3)}{7(\pi)}$

⇒ $\frac{3^4}{7}$

Therefore , It is a rational number ! .

$\frac{-18}{5}$ :

Let's evaluate this expression

⇒ $\frac{-18}{5}$

Therefore , It is a rational number ! .

$\frac{5}{3-7-9}$ :

Let's evaluate this expression

⇒ $\frac{5}{3-16}$

⇒ $\frac{-5}{13}$

Therefore , It is a rational number ! .

$\frac{3\pi.3^3}{7}$ :

Let's evaluate this expression

⇒ $\frac{3\pi.3^3}{7}$

⇒ $\frac{\pi.3^4}{7}$

Therefore , It is not a rational number , as pi is included ! .

4 0

3 years ago

Read 2 more answers

Convert the polar equation to rectangular form and identify the graph. Support your answer by sketching the graph. Show and expl

Nadusha1986 [10]

The polar equation r = - 4 · cos θ is equivalent to the equation of the circle (x + 2)² + y² = 2², whose radius is 2 and center is (h, k) = (- 2, 0).

<h3>How to transform a polar expression into its rectangular form</h3>

Polar and rectangular forms are related by this relation: (x, y) → (r · cos θ, r · sin θ), where r is the radial distance with respect to the origin and θ is the angle in standard position. We can use this fact to change the given expression into its rectangular form:

r = - 4 · (x / r)

r² = - 4 · x

x² + y² = - 4 · x

y² = - (x² + 4 · x)

y² - 4 = - (x² + 4 · x + 4)

y² - 4 = - (x + 2)²

(x + 2)² + y² = 4

(x + 2)² + y² = 2²

In a nutshell, the polar equation r = - 4 · cos θ is equivalent to the equation of the circle (x + 2)² + y² = 2², whose radius is 2 and center is (h, k) = (- 2, 0).

To learn more on polar equations: brainly.com/question/27341756

#SPJ1

8 0

2 years ago