1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
MrMuchimi
3 years ago
13

(2^3 × 2)^2 pls explain how you got it....the answer is 2^8 but I want to know how we get that.

Mathematics
1 answer:
mario62 [17]3 years ago
6 0

Step-by-step explanation:

(2³ × 2¹)²

(2⁶ × 2²)

for indices , × become +, plus

÷ become -, minus

so

2⁶+²

2⁸

You might be interested in
Four sets of data are shown in box-and-whisker plots. Which set has the largest 3rd Quartile value?
Airida [17]

Answer:

I think that is A.

Step-by-step explanation:

7 0
3 years ago
1. A sine function has the following key features:
andrew11 [14]
Problem 1

See the attached image (figure 1)

16pi seems like a typo. I'm going to assume that it's a fraction and it is 1/(6pi)
f = 1/(6pi) = frequency
T = 1/f = 1/(1/(6pi)) = 6pi
Amplitude = 2
a = 2
b = 2pi/T = 2pi/(6pi) = 1/3
Midline: y = 3
d = 3

The function is
y = a*sin(bx-c)+d
y = 2*sin(1/3*x-0)+3
y = 2*sin(x/3)+3

===============================================

Problem 2

See the attached image (figure 2) 

T = 12 is the period
a = 4 is the amplitude
b = 2pi/T = 2pi/12 = pi/6
y = 1 is the midline so d = 1
The y intercept is (0,1) which is the midline, which indicates no phase shifts have occurred so c = 0

The function is
y = a*sin(bx-c)+d
y = 4*sin((pi/6)x-0)+1
y = 4*sin((pi/6)x)+1

===============================================

Problem 3

See the attached image (figure 3)

Period = 4pi
T = 4pi
b = 2pi/T = 2pi/(4pi) = 1/2 = 0.5
Amplitude = 2
a = 2
Midline: y = 3
d = 3
y-intercept: (0,3)
The function is a reflection of its parent function over the x-axis, so 'a' is negative meaning a = -2 instead of a = 2

The function is
y = a*sin(bx-c)+d
y = -2*sin(0.5x-0)+3
y = -2*sin(0.5x)+3

===============================================

Problem 4

See the attached image (figure 4)

a = 10 which is half of the distance between the highest and lowest points
T = 8 is the period
b = 2pi/T = 2pi/8 = pi/4
c = -pi/2 is the phase shift since its really a cosine graph
d = 0 is the midline

The function is
y = a*sin(bx-c)+d
y = 10*sin((pi/4)*x+(-pi/2))+0
y = 10*sin((pi/4)*x+pi/2)

===============================================

Problem 5

See the attached image (figure 5)

a = 2 is the amplitude since it bobs up and down this distance from the midline
T = 8 seconds is the period (double that of the time it takes for it to go from the highest to the lowest point)
b = 2pi/T = 2pi/8 = pi/4
c = 0 is the phase shift as the buoy starts at normal depth of 20 meters
d = 20 is the midline

The function is
y = a*sin(bx-c)+d
y = 2*sin((pi/4)x-0)+20
y = 2*sin((pi/4)x)+20

===============================================

8 0
3 years ago
Read 2 more answers
A man is standing next to a tree. The shadow cast by the tree is four times longer than the man’s shadow. If the man is 2 meters
gogolik [260]

Answer:

I think the tall of the tree is eight meters

3 0
3 years ago
If g(x) = -4x + 5, find g(2x-1).
lilavasa [31]

Answer:

- 8x + 9

Step-by-step explanation:

To evaluate g(2x - 1) substitute x = 2x - 1 into g(x), that is

g(2x - 1)

= - 4(2x - 1) + 5 ← distribute parenthesis and simplify

= - 8x + 4 + 5

= - 8x + 9

8 0
3 years ago
Read 2 more answers
Anyone? Pleasee help
xeze [42]

Answer:

Angle 1 = 128

Angle 2 = 52

Angle 3 = 68

Angle 4 = 60

Angle 5 = 124

Step-by-step explanation:

Had to use supplementary theorem, vertical angles theorem, and that the angles of a triangle add up to 180.

I hope this helps!

8 0
3 years ago
Other questions:
  • Marie wants to space markers evenly along a 5 mile race course. She put a marker at the start line. How far apart should the 21
    14·2 answers
  • 12x>9(2x-3)-15 solve for x show step by step solution
    12·2 answers
  • ASAP!!!
    11·1 answer
  • Based on a farmer’s soil composition he must mix his fertilizer at a certain strength.
    10·1 answer
  • Help now !!! What is C. and F.
    7·2 answers
  • Find the area of the square in inches^2 and enter your answer below. Do not
    13·1 answer
  • A painting is 2 3/4 long and 1 1/2 feet high. what is the area of the painting
    14·1 answer
  • Please help me out with these problems.
    10·2 answers
  • If an object travels at 15 feet per minute, how many feet does it travel in 1.5 seconds
    11·2 answers
  • Oh no my math its broken
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!