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mote1985 [20]
3 years ago
7

Choose all the expression that have the same value as the product 0.11 and 4.5.

Mathematics
1 answer:
omeli [17]3 years ago
3 0
Okay so.
A is 4.95
B is 4.95
C is 4.95
D is 4.95
E is 0.495
So I guess E is the Answer! :)
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The graphs of the function f (given in blue) and g (given in red) are plotted above. Suppose that u(x)=f(x)g(x) and v(x)=f(x)/g(
Rus_ich [418]
U(x) = f(x).(gx)
v(x) = f(x) /  g(x)

Use chain rule to find u(x) and v(x).

u '(x) = f '(x) g(x) + f(x) g'(x)

v ' (x) = [f '(x) g(x) - f(x) g(x)] / [g(x)]^2

The functions given are piecewise.

You need to use the pieces that include the point x = 1.

You can calculate f '(x) and g '(x) at x =1, as the slopes of the lines that define each function.

And the slopes can be calculated graphycally as run / rise of each graph, around the given point.

f '(x) = slope of f (x); at x = 1, f '(1) = run / rise = 1/1 = 1

g '(x) = slope of g(x); at x = 1, g '(1) = run / rise = 1.5/ 1 = 1.5

You also need f (1) = 1 and g(1) = 2

Then:

u '(1) =  f '(1) g(1) + f(1) g'(1) = 1*2 + 1*1.5 = 2 + 1.5 = 3.5

v ' (x) = [f '(1) g(1) - f(1) g(1)] / [g(1)]^2 = [1*2 -  1*1.5] / (2)^2 = [2-1.5]/4 =

= 0.5/4 = 0.125

Answers:
u '(1) = 3.5
v '(1) = 0.125

 


 

3 0
3 years ago
The cost of the rental space is $780 and<br> the price per person for food is $9.75
solmaris [256]

Answer:

80.

Step-by-step explanation:

780÷9.75 = 80.

80 people can stay in the rental space.

3 0
3 years ago
Domino's Pizza cuts their Large pizza into 8 equal slices. What is the area of one of the slices if diameter is 16 inches?
Ksju [112]

Answer:

25.1325

Step-by-step explanation:

16/2= radius of 8. pi*r^2 for 8 is 201.06. 201.06/8(slices) = 25.1325

6 0
2 years ago
Read 2 more answers
Choose correct response
Illusion [34]

Answer:

D

Step-by-step explanation:

11.1/0.01=11.1*100=1110

7 0
2 years ago
The director of a state agency believes that the average starting salary for clerical employees in the state is less than ​$35 c
MrRissso [65]

Answer:

There is not enough evidence to conclude that  average starting salary for clerical employees in the state is less than ​$35,000 per year.

Step-by-step explanation:

We are given the following in the question:

Population mean, μ = 35,000 dollars per year

Sample mean, \bar{x} = 34,700 dollars per year

Sample size, n = 100

Alpha, α = 0.10

Population standard deviation, σ = 3,500 dollars per year

First, we design the null and the alternate hypothesis

H_{0}: \mu = 35,000\text{ dollars per year}\\H_A: \mu < 35,000\text{ dollars per year}

We use one-tailed z test to perform this hypothesis.

Formula:

z_{stat} = \displaystyle\frac{\bar{x} - \mu}{\frac{\sigma}{\sqrt{n}} }

Putting all the values, we have

z_{stat} = \displaystyle\frac{34700 - 35000}{\frac{3500}{\sqrt{100}} } = -0.8571

Now, z_{critical} \text{ at 0.10 level of significance } = -1.28

Since,  

z_{stat} > z_{critical}

We fail to reject the null hypothesis and accept the null hypothesis.

Thus, there is not enough evidence to conclude that  average starting salary for clerical employees in the state is less than ​$35,000 per year.

3 0
3 years ago
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