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frosja888 [35]
3 years ago
12

Compute the values of dy and Δy for the function y=e^(2x)+6x given x=0 and Δx=dx=0.03.

Mathematics
1 answer:
Maksim231197 [3]3 years ago
6 0

Answer:

  • dy = 8·dx
  • Δy = 0.24

Step-by-step explanation:

The derivative of your function is ...

  y' = dy/dx = 2e^(2x) +6

At x=0, the value is ...

  y'(0) = 2e^0 +6 = 8

  dy = 8·dx

__

  Δy = y'(0)·Δx

  Δy = 8(.03)

  Δy = 0.24

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The number of right-handed students in a math class is nine times the number of left-handed students. The total number of studen
nirvana33 [79]
R - Right Handed 
L - Left Handed 

R = 9L ( the number of right handed kids is equal to having 9*number of left handed kids) 
9L + L = 30  ( since total number of people in class is 30) 
10L = 30 
( Divide by 10 both sides )
L = 3 

so... There are 3 Left Handed kids and 27 Right Handed kids ( since R = 9L , R = 9(3) = 27)

Hope this helped!
5 0
3 years ago
Simplify 4 + 10 ÷ (–2).
Gnesinka [82]

Answer:

-1 Your answer is A

Step-by-step explanation:

4+ 10/-2=-1

10/-2=-5

4+-5=-1

3 0
3 years ago
Read 2 more answers
110$ for 16ft find the unit rate ​
Neporo4naja [7]

Answer:

6.875 dollars per feet

Step-by-step explanation:

110/16

6.875

8 0
3 years ago
What is the x-coordinate of the vertex of the parabola whose equation is y = 3x² + 9x?
saveliy_v [14]

Answer: -3/2

Step-by-step explanation:

The axis of symmetry, and thus the x-coordinate of the vertex, is given by x=-\frac{b}{2a}

So, the answer is x=-\frac{9}{2(3)}=\boxed{-\frac{3}{2}}

3 0
1 year ago
On a particular game show, there are 8 covered buckets and 2 of them contain a ball.
kobusy [5.1K]

Answer:

0.2143 = 21.43% probability that a contestant wins the game if he/she gets to select 4 of the buckets.

Step-by-step explanation:

The buckets are chosen without replacement, which means that the hypergeometric distribution is used to solve this question.

Hypergeometric distribution:

The probability of x sucesses is given by the following formula:

P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}

In which:

x is the number of sucesses.

N is the size of the population.

n is the size of the sample.

k is the total number of desired outcomes.

Combinations formula:

C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

In this question:

8 covered buckets, so N = 8.

4 buckets are selected, so n = 4.

2 contain a ball, which means that k = 2.

Find the probability that a contestant wins the game if he/she gets to select 4 of the buckets.

This is P(X = 2). So

P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}

P(X = 2) = h(2,8,4,2) = \frac{C_{2,2}*C_{6,2}}{C_{8,2}} = 0.2143

0.2143 = 21.43% probability that a contestant wins the game if he/she gets to select 4 of the buckets.

7 0
2 years ago
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