All categories

3 years ago

Find the quotient. 2^3/2^-1

Mathematics

2 answers:

ahrayia [7]3 years ago

6 0

Answer:

-4

Step-by-step explanation:

2^3 = 2 * 2 * 2 = 8

2^-1 = -2 = -2

2^3/2^-1 = 8/-2

=> 4/-1

=> -4

Hope it helps :)

Marina CMI [18]3 years ago

4 0

Answer:

2^4 (or) 16

Step-by-step explanation:

2^3=2×2×2=8

2^-1 = 1/2

2^3/2^-1 = 8/(1/2) = 8×2 = 16

alternative method:

2^3/2^-1 = 2^(3-(-1))

= 2^(3+1)

= 2^4

= 16

You might be interested in

The line passes through (9,8) and is perpendicular to x-2y=-16

pickupchik [31]

The equation of line perpendicular to x-2y=-16 passing through (9,8) is: y=-2x+26

Step-by-step explanation:

Given

$x-2y=-16\\Adding\ 2y\ on\ both\ sides\\x=2y-16\\Adding\ 16\ on\ both\ sides\\x+16=2y-16+16\\x+16=2y\\2y=x+16\\Dividing\ both\ sides\ by\ 2\\\frac{2y}{2}=\frac{x+16}{2}\\y=\frac{x}{2}+\frac{16}{2}\\y=\frac{1}{2}x+8\\$

The equation is in slope-intercept form, the coefficient of x will be the slope of given line. The slope is: 1/2

As the product of slopes of two perpendicular lines is -1.

$\frac{1}{2}*m=-1\\m=-1*\frac{2}{1}\\m=-2$

Slope intercept form is:

$y=mx+b$

Putting the value of slope

y=-2x+b

To find the value of b, putting (9,8) in the equation

$8=-2(9)+b\\8=-18+b\\b=8+18\\b=26$

Putting the values of b and m

$y=-2x+26$

Hence,

The equation of line perpendicular to x-2y=-16 passing through (9,8) is: y=-2x+26

Keywords: Equation of line, Slope-intercept form

Learn more about equation of line at:

#LearnwithBrainly

4 0

3 years ago

The answers ? Plssss I’ll mark u brianliest

frez [133]

Answer:

4. C

5. B

Step-by-step explanation:

4. Circumference = diameter * pi

pi is approximately 3.14

Diameter = 2*radius

Diameter = 2*8 = 16

Circumference = 3.14 (16), so the answer is C.

5. The question asking asking for the surface of the toy box.

Surface area of a cube = 6*the area of one face of the cube = 6 (edge * edge)

Substitute the edge with 2

Surface area of the toy box = 6(2*2) = 6(4) = 24

Surface area is 24 feet squared, so the answer is B

Hope this helps :)

Have an awesome day!!

4 0

3 years ago

The measurement of a central angle is 75. Find the measurement of in radians

Marina CMI [18]

Circumference = 360 degrees
Circumference = 2π radians (comes from 2*pi*radius) 

Therefore 
360 deg. = 2*π radians 
180 deg. = π radians 
1 deg. = (π/180) radians 

75 deg. = 75(π/180) radians 
75 deg. = 75π / 180 radians 
don't bother to try and simplify π (it is an irrational number) 
however you can simplify 75/180 
both are divisible by 5 
75π/180 = 15π/36 
both are divisible by 3 
75 deg. = 5π/12 radians 

We normally don't bother to go further, unless you actually need it as a decimal fraction (in which case, you will have an approximation) 

75 deg. ≈ 1.308997 radians

5 0

4 years ago

Write three examples of numbers that are decimal

GaryK [48]

1.24
3.56
7.89
Really any number that has a decimal (period in it)

3 0

3 years ago

Read 2 more answers

8th pre-algebra, WORTH 30POINTS!

marusya05 [52]

Answer:

y = a + 2b + 3c