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meriva
3 years ago
7

Which of the following inequalities are correct?

Mathematics
1 answer:
zysi [14]3 years ago
5 0

Answer:

Theyre all correct

Step-by-step explanation:

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Please help ASAP with this question
jeka57 [31]

Answer:

B. 7.9 in^2

Step-by-step explanation:

Part I.

Finding the fraction of the circle that is the sector

To start, let’s find the fraction of the circle that the sector covers. Since the measure of the central angle is 36, we get 36/360 or 1/10 of the circle.

Part II.

Finding the area of the Circle

The area of a circle is pi*r^2. Since r=5, then the area is 25pi.

Part III.

Finding the area of the sector.

Since the sector is 1/10 of the circle, its area is 1/10 of the circle’s area. So the area of the sector is 25/10*pi or (5/2)pi. This is approximately 7.9 in^2.

6 0
3 years ago
Graph y = 3(x + 2)3 - 3 and describe the end behavior.
-BARSIC- [3]
1) The function is 3(x + 2)³ - 3

2) The end behaviour is the limits when x approaches +/- infinity.

3) Since the polynomial is of odd degree you can predict that the ends head off in opposite direction. The limits confirm that.

4) The limit when x approaches negative infinity is negative infinity, then the left end of the function heads off downward (toward - ∞).

5) The limit when x approaches positive infinity is positivie infinity, then the right end of the function heads off upward (toward + ∞).

6) To graph the function it is important to determine:
- x-intercepts
- y-intercepts
- critical points: local maxima, local minima, and inflection points.


7) x-intercepts ⇒ y = 0

⇒ <span>3(x + 2)³ - 3 = 0 ⇒ (x + 2)³ - 1 = 0
</span>

<span>⇒ (x + 2)³ = -1 ⇒ x + 2 =  1 ⇒ x = - 1
</span>

8) y-intercepts ⇒ x = 0

y = <span>3(x + 2)³ - 3 = 3(0 + 2)³ - 3 = 0 - 3×8 - 3 = 24 - 3 = 21
</span><span>
</span><span>
</span><span>9) Critical points ⇒ first derivative = 0
</span><span>
</span><span>
</span><span>i) dy / dx = 9(x + 2)² = 0
</span><span>
</span><span>
</span><span>⇒ x + 2 = 0 ⇒ x = - 2
</span><span>
</span><span>
</span><span>ii) second derivative: to determine where x = - 2  is a local maximum, a local  minimum, or an inflection point.
</span><span>
</span><span>
</span><span>y'' = 18 (x + 2); x = - 2 ⇒ y'' = 0 ⇒ inflection point.
</span><span>
</span><span>
</span><span>Then the function does not have local minimum nor maximum, but an inflection point at x =  -2.
</span><span>
</span><span>
</span><span>Using all that information you can graph the function, and I attache the figure with the graph.
</span>


3 0
3 years ago
Help me please sos!!
Anvisha [2.4K]

Answer:

  75 ≤ length < 85

Step-by-step explanation:

You know a number 5 or greater will round up to the next higher number in the number place to its left. Similarly, numbers less than 5 round down (get replaced by zero).

This means that 75 will round up to 80. and 84.9999... will round down to 80.

a) The lower bound on length is 75. The length must be at least 75.

b) The upper bound on length is 85. The length must be less than 85.

4 0
2 years ago
What is the equation of this line?<br><br> y=1/2x-3<br> y=-1/2x-3<br> y=-2x-3<br> y=2x-3
quester [9]

Answer:

y=1/2x-3

Step-by-step explanation:

y=mx+b where m equals the slope and b equals the y-intercept. The slope is 1/2 and the y-intercept is -3. Hope this helps!

6 0
2 years ago
Read 2 more answers
An ice cream bar was 692 calories. If they increased the size of the bar by 3%, what is the expression to find the new calorie c
Romashka [77]
B= ice cream bar
C= new calorie count

Expression:
C=(0.03B) + B

C=(3% * 692)+692
C=(0.03 * 692)+692
C=20.76+692
C=712.76 or rounded to 713= new calorie count

Hope this helps! :)
3 0
3 years ago
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