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3 years ago

What is 33% of 420 round to the nearest hundredth

Mathematics

2 answers:

LUCKY_DIMON [66]3 years ago

7 0

Answer:

138.6

Step-by-step explanation:

Alinara [238K]3 years ago

6 0

Answer: 138.6

Step-by-step explanation:

33% can also be written as 0.33

Multiply 0.33 by 420 to get 138.6

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Find the extreme values of the function f(x, y) = 4x2 + 6y2 on the circle x2 + y2 = 1.

julia-pushkina [17]

Answer with Step-by-step explanation:

We are given that

$f(x,y)=4x^2+6y^2$

Let g(x,y)= $x^2+y^2=1$

We have to find the extreme values of the given function

$\nabla f(x,y)$

$\nabla g(x,y)=$

Using Lagrange multipliers

$\nabla f(x,y)=\lambda \nabla g(x,y)$

$f_x=\lambda g_x$

$8x=\lambda 2x$

Possible value x=0 or $\lambda=4$

If x=0 then substitute the value in g(x,y)

Then, we get $y=\pm 1$

$f_y=\lambda g_y$

$12y=\lambda 2y$

If $\lambda=4$ and substitute in the equation

Then , we get possible value of y=0

When y=0 substitute in g(x,y) then we get

$x=\pm 1$

Hence, function has possible extreme values at points (0,1),(0,-1), (1,0) and (-1,0).

$f(0,1)=6$

$f(0,-1)=6$

$f(1,0)=4$

$f(-1,0)=4$

Therefore, the maximum value of f on the circle $x^2+y^2=1$ is $f(0,\pm1)=6$ and minimum value of $f(\pm1,0)=4$

7 0

3 years ago

Given the first type of plot indicated in each pair: which of the second plots could not always be generated from it? a. dot plo

Elenna [48]

Answer:

Step-by-step explanation:

Dot plot is usually in the form of stem & leaf. The only difference is that, stem& leaf presents the actual values while dot plot usually represent the value in dots. Hence, we can easily generate dot plot from stem & leaf!

For (a) dot plot and box plot, dot plot presents all the data while box plot presents only the five-num statistics, namely:

1. minimum

2. 1st quartile (Q1)

3. median

4. 3rd quartile (Q3)

5. Maximum

And outliers, if any!

Thus, dot plot cannot directly generate box plot

For (b). Histogram and stem & leaf. Although both usually help us understand the skewness of data distribution, however, histogram deals with frequency distribution (counts of number of occurrence) and plotted on the intervals and stem&leaf list the values.

For (d). Even though dot plot shoots up and down like the histogram, the content is different. In dot plot, it is the actual value represented in dots. But in histogram, it is the frequency distribution of the class intervals.

3 0

3 years ago

Solve the inequality 2x + 8 < 5x − 4.

Alika [10]

Answer:

x>4

Step-by-step explanation:

2x+8<5x-4

4+8<5x-2x

12<3x

4<x

x>4

6 0

4 years ago

A dinner bill for jeff came out $21.00.Jeff paid a total of $24.00 including tip.How big of a tip did jeff leave,as a percentage

kodGreya [7K]

Jeff left a tip of 15%

5 0

3 years ago

Read 2 more answers

HELP! 10 points!!

Akimi4 [234]

Answer:

A: E = 0.05t +56

B: $73.50

C: $60.05

Step-by-step explanation:

A) I'll just explain the equation in one go

Equation: E = 0.05t + 56

0.05 - This is meant to represent the 5% of tips

5% = 5/100

5/100 = 0.05

56 - This is a set value that has been established as a constant, thus it simply needs to be added to the 5%

B+C) Since we already have the equation set up, we just need to plug in the variable, t.

B) E = 0.05(350) + 56

= 17.5 + 56

= 73.50

C) E = 0.05(81) + 56

= 4.05 + 56

= 60.05

Hope that does something to help, even though this was posted a while ago

6 0

3 years ago