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wolverine [178]
4 years ago
8

Measurement at point 22?

Mathematics
1 answer:
disa [49]4 years ago
3 0
Is there anything to look at?
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Find the area of the region in two ways. a. Using integration with respect to x. b. Using geometry. 9-x
Natali [406]

Answer: hello your question is incomplete attached below is the complete question

answer :

a)   \int\limits^3_0 {(10-x)-(x+4)} \, dx     ( option D )

b) A =  1/2 (6)(3)   ( option B )

c) Area of shaded region = 9

Step-by-step explanation:

<u>a) Using integration with respect to x </u>

Area =   \int\limits^7_4 {(y-4)} \, dy + \int\limits^a_7 {(10-y)} \, dy         ( note a = 10 )

          = y^2/2 - 4y |⁷₄  + 10y - y^2/2 |¹⁰₇

          = 33/2 - 12 + 30 - 51/2   = 9

hence the best integral from the options attached is option D

\int\limits^3_0 {(10-x)-(x+4)} \, dx

= [ 10x - x^2 /2 - x^2/2 - 9x ] ³₀

= 30 - 9/2 - 9/2 - 12  = 9

<u>b) Using Geometry </u>

Area = 1/2 * base * height

        = 1/2 * 6 * 3

        = 9

7 0
3 years ago
3+1/2 (3 - x) &lt;-7<br>solve inequality ​
astra-53 [7]

subtract 3 from both sides:

\dfrac{1}{2}(3-x)

Multiply both sides by 2:

3-x

Subtract 3 from both sides:

-x

Change sign to both sides (this implies that you should also change the inequality sign):

x>23

8 0
3 years ago
If two fair dice are rolled, what is the probability that the total showing is either even or less than nine?
Gemiola [76]

Answer:

1/2 and 13/18 respectively

Step-by-step explanation:

even-number results:

2, 4 6 ,8, 10 and 12

the combinations of each result are respectively

1+3+5+5+3+1 = 18

The total number of combinations on a roll pair is 36

then the probability of obtaining an even result is:

p = 18/36 = 1/2 or 0.5

so that the result is less than nine, we eliminate the combinations of results 9, 10, 11 and 12:

4 + 3 + 2 + 1 = 10

36 -10 = 26

the probability of obtaining a result less than nine is:

p = 26/36 = 13/18 or 0.72

Hope this helps

5 0
2 years ago
Tomas needs exactly 6 potatoes to make 12 potato
Marina86 [1]

Answer:

<u>Options A , B and D</u>

Step-by-step explanation:

Tomas needs exactly 6 potatoes to make 12 pancakes

So, the rate will be 12/6 = 2

<u>We will check the options:</u>

A) Tomas needs exactly 12 potatoes to make 24 potato pancakes.

Rate = 24/12 = 2

B) Tomas needs exactly 18 potatoes to make 36 potato pancakes.

Rate = 36/18 = 2

C) Tomas needs exactly 24 potatoes to make 44 potato pancakes.

Rate = 44/24 = 1.833

D) Tomas needs exactly 30 potatoes to make 60 potato pancakes.

Rate = 60/30 = 2

E) Tomas needs exactly 36 potatoes to make 78 potato pancakes.

Rate = 78/36 = 2.1667

So, the answers are:

<u>Options A , B and D</u>

6 0
3 years ago
Read 2 more answers
Which represents a quadratic function?
MrMuchimi
THE ANSWER IS B, CAUSE THE HIGHEST EXPONENT FOR A QUADRATIC FUNCTION SHOULD BE 2, AND WHICH A,B AND C SHOULD NOT BE EQUAL TO ZERO. HOPE THIS HELPS!
8 0
3 years ago
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