All categories

3 years ago

Simplify the following:

Mathematics

1 answer:

Daniel [21]3 years ago

7 0

Answer:

a. (x⁵)(x⁸)

${x}^{5 + 8}$

${x}^{13}$

b. k9/k2

$k {}^{9 - 2}$

${k}^{7}$

c. (w⁶)³

${w}^{6 \times 3}$

${w}^{18}$

d. (53)(54)

$53 \times 54 = 2862$

You might be interested in

How do you solve for x in a math question like this 5+4x=54-3x?

Bas_tet [7]

To solve for x, first you need to isolate all x terms on the same side so:

you start with 5 + 4x = 54 - 3x

subtract 5 from both sides to get 5 onto the left side

now you should have 4x = 49 - 3x

now add 3x to both sides to get 3x onto the right side

now you should have 7x = 49

now that you have your x on one side you can solve this like a regular one step equation and divide both sides by 7

this leads you to your answer of x = 7

hope this helps!

6 0

3 years ago

Read 2 more answers

Find the volume of the cylinder. Use 3.14 for Pi. Round your answer to the nearest hundredth.the height is 13 and the radius is

NikAS [45]

Answer:

The volume of the cylinder is 2002 square units.

Step-by-step explanation:

It is given that,

Height of the cylinder, h = 13 units

Radius of the cylinder, r = 7 units

We need to find the volume of the cylinder. The formula of the volume of cylinder is given by :

$V=\pi r^2 h\\\\V=\dfrac{22}{7}\times 7^2 \times 13\\\\V=2002\ \text{unit}^2$

So, the volume of the cylinder is 2002 square units.

4 0

3 years ago

What is the equation of the following line written in slope intercept form? (-5,-1)

solmaris [256]

Answer:

$\large\boxed{y=-\dfrac{2}{3}x-\dfrac{13}{3}}$

Step-by-step explanation:

The slope-intercept form of an equation of a line:

$y=mx+b$

m - slope

b - y-intercept

The formula of a slope:

$m=\dfrac{y_2-y_1}{x_2-x_1}$

From the graph we have two points (-5, -1) and (-2, -3).

Look at the picture.

Calculate the slope:

$m=\dfrac{-3-(-1)}{-2-(-5)}=\dfrac{-2}{3}=-\dfrac{2}{3}$

Put it to the equation in slope-intercept form:

$y=-\dfrac{2}{3}x+b$

We can't read the y-intercept from the graph. Therefore put the coordinates of the point (-5, -1) to the equation and calculate b:

$-1=-\dfrac{2}{3}(-5)+b$

$-1=\dfrac{10}{3}+b$ subtract 10/3 from both sides

$-\dfrac{3}{3}-\dfrac{10}{3}=b\to b=-\dfrac{13}{3}$

Finally:

$y=-\dfrac{2}{3}x-\dfrac{13}{3}$

4 0

3 years ago

Which of the following is a radical equation? X+ V5 = 12 x² = 16 3+ x^7=13 7-14

MrRissso [65]

The second one is the correct answer

5 0

3 years ago

In EFGH find the measure of GFH !!!! PLEASE HELP!!!!

stich3 [128]

Answer:

Step-by-step explanation:

Since EF and GH are parallel lines then

∠EGF = ∠GFH = 60° ( Alternate angles )

6 0

3 years ago