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andreyandreev [35.5K]
3 years ago
10

B. 60n + 48 C. 45y + 15 d. 63c - 49d

Mathematics
1 answer:
Elza [17]3 years ago
3 0

Answer:

b= -0.8

c= -0.3333333333

d= 0.7777777778d

Step-by-step explanation:

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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
YO!NEED THIS!!!!!POINTS!!!!!!WILL GIVE THE BRAIN!!!!
DiKsa [7]
The graph is falling on the left hand side and rising on the right hand side.

Since the two ends of graph are in opposite direction, the exponent of variable has to be odd. For an even exponent of leading term, the two ends are in same direction.

Since the graph is falling on left and rising on right, this indicates that the coefficient of leading term is positive.

So, the leading term must have:
1) Odd exponent
2) Positive Coefficient

Thus, option Fourth is the correct answer


5 0
4 years ago
Hi can I send a screenshot?​
kherson [118]

Answer:

Yeah

Step-by-step explanation:

3 0
3 years ago
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Solve the absolute value equation.<br> 3x - 4 = 5<br> x= 3 or x=-3-<br> x = 3 or x=<br> x=-3
8090 [49]
The first one ; x=3
6 0
3 years ago
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You order seventeen burritos to go from a Mexican restaurant, seven with hot peppers and ten without. However, the restaurant fo
Kisachek [45]

Answer:

P=0.369

Step-by-step explanation:

In this binomial probability case, the success is to pick a burrito with hot peppers, there are 7 out of 17, the probability is p=7/17=0.4118. The formula is

P=_nC_kp^k(1-p)^{n-k}

Where n is the number of burritos taken at random, k is the number of success (burrito with hot peppers), p is the probability of success. _nC_k denotes the number of combinations and its formula is:

_nC_k=\frac{n!}{k!(n-k)!}

At least two burritos have hot peppers means having two or three burritos, these two cases are calculated and sum to get the probability of at least two burritos that have hot peppers.

P=_nC_kp^k(1-p)^{n-k}=\frac{n!}{k!(n-k)!}p^k(1-p)^{n-k}

P_2=\frac{3!}{2!(3-2)!}(0.4118)^2(1-0.4118)^{3-2}=\frac{3\times2!}{2!1!} (0.1696)(0.5882)^1\\P_2=3 (0.1696)(0.5882)=0.2993

P_2=\frac{3!}{3!(3-3)!}(0.4118)^3(1-0.4118)^{3-3}=\frac{1}{0!} (0.0698)(0.5882)^0\\P_2=1 (0.0698)(1)=0.0698

P=P_2+P_3=0.2993+0.0698=0.3691

Round to three decimal places: P=0.369

7 0
4 years ago
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