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RUDIKE [14]
3 years ago
11

Which expression is equivalent to

Mathematics
1 answer:
Kruka [31]3 years ago
7 0

Answer:

x^6

Step-by-step explanation:

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This sphere has a radius of 3 cm. What is the surface area of the sphere?
Oduvanchick [21]
Hope this helps! Mark brainly please!

5 0
3 years ago
Rectangle EFGH is translated according to the rule T–5, 9(x, y). If the coordinates of the pre-image of point H are (–2, –3), wh
love history [14]

Answer:

2,1

Step-by-step explanation:

T-5 .9(×,y)

-2,-3

=2,1

4 0
3 years ago
1. what is the period of the function f(x) shown in the graph?
ki77a [65]
Problem 1)

Answer: pi/2

-------------------------------

Place your pencil at (0,3) which is a good starting point, since x = 0 is often a good starting point. Trace along the curve until you reach back up at y = 3 again. So you'll go down and then back up until you reach (pi/2, 3). The difference in x values is pi/2-0 = pi/2. Every pi/2 units, the graph curve repeats itself over and over infinitely. 

Note: this is not the only way to determine the period. You can start at any point really. It helps to start at a min or max value, or at x = 0. In this case, it happened to be both. 

===========================================================
Problem 2)

Answer: See figure 2 (attached image)

-------------------------------

Point A is at (0,0)
Point B is at approximately (1.57,-2) which is exactly (pi/2,-2)

===========================================================
Problem 3)

Answer: See figure 3 (attached image)

===========================================================
Problem 4)

Answer: Choice B
The graph is horizontally compressed by a factor of 2 and shifts up 1 unit

-------------------------------

The jump from x to 2x will have the period go from 2pi to pi. The graph curve repeats itself more and more often (twice as often). Therefore we have an accordion squeeze effect going on, or think of it like a spring being pressed down. We have horizontal compression along the x axis.

Adding 1 to the end shifts every point upward 1 unit. Overall, this gives the visual the entire curve itself is shifted up 1 unit.

===========================================================
Problem 5)

Answer: f(x) = 5.05*sin((pi/12)x)+5.15

-------------------------------

max = 10.2
min = 0.1
difference = 10.2-0.1 = 10.1
Divide this difference in half: 10.1 = 5.05
So a = 5.05 is the amplitude

The period is T = 24 hrs since the height is 5.15 at midnight of one day, it rises and then falls and rises back to 5.15 by the next midnight
b = 2pi/T = 2pi/24 = pi/12
c = 0 since there is no phase shift in this sine function

d = 5.15 is the midline, which is the starting height at x = 0

f(x) = a*sin(bx-c)+d
f(x) = 5.05*sin((pi/12)x-0)+5.15
f(x) = 5.05*sin((pi/12)x)+5.15

===========================================================
Problem 6)

Answers are:
A) The max height of the Ferris wheel is 64 ft
B) The radius of the Ferris wheel is 30 ft

-------------------------------

The largest height of the table is 64, so 64 is the max height. This is why A is true.

B is true since the max is 64 and the min is 4, so 64-4 = 60 is the diameter, making the radius r = d/2 = 60/2 = 30

C is false because the height at t = 0 is 34 ft, but the lowest point is at height h = 4

D is false because the period is actually 10 seconds. Eg: going from t = 7.5 to t = 17.5 is a time of 10 seconds. During this time, the heights are 4, 34, 64, 34, 4 telling us that a full cycle has taken place.

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

4 0
3 years ago
The surface areas of two similar solids are 1183 and 2023. If the volume of the larger solid is 2333, find the volume of the sma
Sladkaya [172]
A = square root of 1183
A = 34.39

V = 34.4^3
V = 40707.580

Further samples,
<span>Rounding off numbers to their nearest mentioned position allows approximation from the number value itself. </span>

<span>In the number 63, 849 </span><span><span>
1.       </span>Rounding off to the nearest ten thousands would mean the value of 6 which is equal to 60, 000</span> <span><span>
2.       </span>Rounding off to the nearest thousands would mean the value of 3 which is equal to 64, 000</span> <span><span>
3.       </span>Rounding off to the nearest hundreds would mean the value of 8 which is equal to 63, 800</span> 
<span><span>4.       </span>Rounding off to the nearest tens would mean the value of 4 which is equal to 63, 850</span> <span><span>
5.       </span>Rounding off to the nearest ones would mean the value of 9 which is equal to 63, 859.00</span> 

<span>Since there are no decimal values the ones value stays the same. Take note of the rounding off rules between number 0-4 and 5-9.<span> </span></span>

4 0
3 years ago
Please help 15 points!!!! <br> i dont understand dilation
Serga [27]
Contraction if the scale factor is  <1  (0.25,  0.8,  0.375)

<span>Expansion if the scale factor is >1     (1.5, 4, 1.75 )

0.25<1
0.8<1
0.375<1

1.5>1
4>1
1.75>1</span>
7 0
3 years ago
Read 2 more answers
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