All categories

3 years ago

Choose the correct simplification of the expression (5x^5)^2.

Mathematics

2 answers:

nevsk [136]3 years ago

4 0

The answer would be 25x10

aniked [119]3 years ago

4 0

Answer:

The answer is 25x10

1. (5x^5)^2

2. ^5 x ^2 = ^10

3. 5^2 = 25

4. 25x^2

In order to solve this equation, you have to use the multiplication property of equations. This means that you have to not only multiply the exponents, but also the 5. The variable (x) stays the same, as the only components that have to be multiplied are the exponents and the number 5.

Hope this helps!

You might be interested in

For all values of x f(x)

Firlakuza [10]

Answer:

f(g(5)) = 64

g(f(5)) = 28

Step-by-step explanation:

Given that f(x) = x^2 and g(x) = x+3

f(g(x) = f(x+3)

f(x+3) = (x+3)^2

f(g(x)) = (x+3)^2

f(g(5)) = (5+3)^2

f(g(5)) = 8^2

f(g(5)) = 64

b) g(f(x)) = g(x^2)

g(f(x)) = x^2 + 3

g(f(5)) = 5^2 +3

g(f(5)) = 25 + 3

g(f(5)) = 28

Hence the value of g(f(5)) is 28

5 0

2 years ago

Un cono ha l'area laterale di 255 pigreco cm^2, l'apotema di 17 cm e pesa 900 pigreco g. Calcola il peso specifico del materiale

valkas [14]

Answer:

The specific weight is $1.5\frac{g}{cm^{3}}$

Step-by-step explanation:

The question in English

A cone has a lateral area of 255 pi cm^2, an apothem of 17 cm and weighs 900 pi g. It calculates the specific weight of the material of which it is composed

step 1

Find the radius of the cone

we know that

The lateral area of a cone is equal to

$LA=\pi rl$

we have

$LA=255\pi\ cm^{2}$

$l=17\ cm$

substitute the values

$255\pi=\pi r(17)$

Simplify

$255=r(17)$

$r=255/(17)=15\ cm$

step 2

Find the height of the cone

Applying the Pythagoras Theorem

$l^{2} =r^{2} +h^{2}$

substitute the values and solve for h

$17^{2} =15^{2} +h^{2}$

$h^{2}=17^{2}-15^{2}$

$h^{2}=64$

$h=8\ cm$

step 3

Find the volume of the cone

The volume of the cone is equal to

$V=\frac{1}{3}\pi r^{2}h$

substitute the values

$V=\frac{1}{3}\pi (15)^{2}(8)$

$V=600\pi\ cm^{3}$

step 4

Find the specific weight

Divide the mass by the volume

$\frac{900\pi }{600\pi}=1.5\frac{g}{cm^{3}}$

4 0

3 years ago

the number of kilograms of water in a human body varies directly as the mass of the body an 84 kg person contains 56kg water how

kogti [31]

The answer is: 75 x 56 divided by 84
= 50kg

5 0

2 years ago

A researcher interested in Springfield citizens' shopping habits surveys a randomly selected group of 200 Walmart shoppers. 76%

luda_lava [24]

Answer and Explanation: The results of the survey would not be accurate to the whole of springfield, as the sample was not a random sample. A random sample is where each person in a given area (Springfield in this case) has an equal chance of being surveyed. In this case, only walmart shoppers were surveyed. Therefor, the results can only apply to shoppers at walmart, not the whole of Springfield.

8 0

3 years ago

Read 2 more answers

It takes 40 units of maple sap to produce 1 ounce of maple syrup. Jane and her family are bottling maple syrup in 20 -ounce bott

Setler [38]

Answer:

10,800

-1200

Step-by-step explanation:

Given that :

40 units of maple sap = 1 ounce of maple syrup

Using a 20 - ounce bottle, 2 ounces of air is left

Ounces of actual syrup = (20 - 2) = 18 ounces

Number of maple sap required to fill 15 bottles :

Number of maple saps required to fill 18 ounces bottle :

40 units = 1 ounce

x = 18 ounces

Hence, for 18 ounces of maple syrup :

(40 * 18).= 720 units of maple sap

For 15 bottles of 18 ounces maple syrup:

(720 * 15) = 10,800 units of maple sap

If they had filled each bottle to the top:

(40 * 20 * 15) = 12000 units of maple sap

10,800 - 12000 = - 1200 units of maple sap

5 0

3 years ago