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Rina8888 [55]
3 years ago
15

Evaluate the following expression using the values given:

Mathematics
2 answers:
erma4kov [3.2K]3 years ago
7 0
The result of this question is -23
Y_Kistochka [10]3 years ago
7 0

Answer:

The solution is -23

Step-by-step explanation:

We need to solve the expressionx^{3}-2y^{2}-3x^{3}+z^{4} at x=3,y=5, \text{and} \ z=-3

Replace 'x' with 3, 'y' with 5 and 'z' with -3 in x^{3}-2y^{2}-3x^{3}+z^{4}

3^{3}-2(5)^{2}-3(3)^{3}+(-3)^{4}

27-2(25)-3(27)+81

27-50-81+81

-23

Therefore, the solution is -23

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Please could someone help me ?
Marta_Voda [28]

Answer:

Step-by-step explanation:

Sin58 = opp/hyp

Sin58 = CB/14

CB = 14 × sin58°

CB = 11.9cm

8 0
2 years ago
Out of 450 applicants for a job, 206 are male and 62 are male and have a graduate degree.
xxMikexx [17]

Answer:

0.3009 is the  probability that the applicant has graduate degree given he is a male.                                                              

Step-by-step explanation:

We are given he following in the question:

M: Applicant is male.

G: Applicant have a graduate degree

Total number of applicants = 450

Number of male applicants = 206

n(M) = 206

Number of applicants that are male and have a graduate degree = 62

n(M\cap G) = 62

\text{Probability} = \displaystyle\frac{\text{Number of favourable outcomes}}{\text{Total number of outcomes}}

P(M) = \dfrac{206}{450} = 0.4578

P(M\cap G) = \dfrac{n(M\cap G)}{n} = \dfrac{62}{450} = 0.1378

We have to find the probability that the applicant has graduate degree given he is a male.

P(G|M) = \dfrac{P(G\cap M)}{P(M)} = \dfrac{\frac{62}{450}}{\frac{206}{450}} = \dfrac{62}{206} = 0.3009

Thus, 0.3009 is the  probability that the applicant has graduate degree given he is a male.

5 0
2 years ago
Drag each sequence to show whether it is a linear function, an exponential function, or
Sergeu [11.5K]

Answer:

Step-by-step explanation:

From the picture attached,

Option A

From the given table,

Ratio of the 2nd value and 1st value = \frac{8}{4}=2

Ratio of 3rd value and 2nd value = \frac{16}{8}=2

There is a common ratio of 2.

Therefore, the given table will represent an exponential function.

Option B

Given recursive formula of the sequence is,

A_1=3

A_n=5.A_{n-1}

From this recursive formula sequence will be,

3, 15, 75, 375,.......

Therefore, it's an exponential function.

Option C

F_n=3n+17

Given function is in the form of a linear function (y = mx + b),

Therefore, it's a linear function.

Option D

From the given table,

Difference between 2nd value to the 1st value = 8 - 4 = 4

Difference between 3rd value to the 2nd value = 12 - 8 = 4

Therefore, there is a common difference of 4 in each successive term to the previous term.

Hence, the given table represents a linear function.

7 0
3 years ago
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Lelechka [254]
The data set has no association.
4 0
3 years ago
Find the area of the irregular figure. I don’t know this I need help.
Shkiper50 [21]

Answer:

11 in.²

Step-by-step explanation:

you can divide the shape into 2 rectangles and then you solve for the 2 rectangles and then you add them up.

4 0
2 years ago
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