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3 years ago

If a^n=b than a is the n^th root of b. True or false

Mathematics

1 answer:

dem82 [27]3 years ago

7 0

Step-by-step explanation:

yes that's true

if a^n=b

then

a^n/n=b^1/n

a=b^1/n

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Please help with this question!! I need serious help!!

asambeis [7]

Answer:

<h2>The circumference is multipled by 4.</h2>

Step-by-step explanation:

The formula of an area of a circle"

$A=\pi r^2$

The formula of a circumference of a circle:

$C=2\pi r$

The area multipled by 16:

$16A=16\pi r^2\\\\16A=\pi(4^2r^2)\\\\16A=\pi(4r)^2$

The radius has increased fourfold, therefore:

$C'=2\pi(4r)=4(2\pi r)=4C$

The circumference is multipled by 4.

You can calculate the area and check the circumference:

$r=11.6\ in\\\\A=\pi(11.6)^2=132.56\pi\\\\16A=(16)(134.56\pi)=2152.96\pi\ in^2$

Calculate the radius:

$\pi r^2=2152.96\pi$ <em>divide both sides by π</em>

$r^2=2152.96\to r=\sqrt{2152.96}\\\\r=46.4\ in$

Calculate the circumference of both circles:

$r=11.6\ in\\\\C=2\pi(11.6)=23.2\pi\ in$

$r=46.4\ in\\\\C'=2\pi(46.4)=92.8\pi\ in$

$\dfrac{C'}{C}=\dfrac{92.8\pi}{23.2\pi}=4\to C'=4C$

5 0

3 years ago

Ten experts rated a newly developed chocolate chip cookie on a scale of 1 to 50. Their ratings were:

Sunny_sXe [5.5K]

Answer:

Option B.

Step-by-step explanation:

The given data set is

34, 35, 41, 28, 26, 29, 32, 36, 38, 40

We need to find the mean deviation of the given data.

Number of observations, n = 10

Mean of the data is

$Mean=\dfrac{\sum x}{n}$

$Mean=\dfrac{34+35+41+28+26+29+32+36+38+40}{10}$

$Mean=\dfrac{339}{10}$

$Mean=33.9$

Formula for mean deviation is

$\text{Mean deviation}=\dfrac{\sum |x-mean|}{n}$

$\sum |x-mean|=|34-33.9|+|35-33.9|+|41-33.9|+|28-33.9|+|26-33.9|+|29-33.9|+ |32-33.9|+|36-33.9|+|38-33.9|+|40-33.9|=41.2$

$\text{Mean deviation}=\dfrac{41.2}{10}$

$\text{Mean deviation}=4.12$

The mean deviation of the ratings is 4.12.

Therefore, the correct option is B.

8 0

3 years ago

Read 2 more answers

Find an equation for a tangent plane z=e-x2-y2 at the point (0,0,1).

Nadya [2.5K]

Answer: equation of the tangent plane is z = 1

Step-by-step explanation:

Given equation

z = e^(-x²-y²) at point (0,0,1)

now let z = f(x,y)

Δf(x,y) = [ fx, fy ]

= (-2xe^(-x²-y²)), (-2ye^(-x²-y²))

now

Δf (0,0) = [ 0, 0 ] = [ a, b ]

equation of the tangent plane therefore will be

z - z₀ = a(x-x₀) + b(y-y₀)

z - 1 = 0(x-0) + 0(y-0)

z - 1 = 0 + 0

z = 1

Therefore equation of the tangent plane is z = 1

7 0

3 years ago

(03.05 MC) Daisy recorded the temperatures at which two oils freeze: Oil Temperature Cottonseed oil –48.1 °C Palm oil 24.1 °C Wh

ratelena [41]

Answer:

a. Cottonseed oil freezes at a lower temperature than palm oil because –48.1 °C < 24.1 °C

Step-by-step explanation:

–48.1 °C is lower than 24.1 °C since it lies on the negative side of the number line. Thus, Cottonseed oil freezes at a lower temperature than palm oil

8 0

3 years ago

Find the surface area of the cylinder to the nearest tenth of a square unit. Use 3.14 for pi :))) thank you !!

Leni [432]

Answer:

390.8 ft2 I think

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers