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Vlad1618 [11]
3 years ago
7

A test has thirty questions worth 100 points. The test consists of True/False questions worth 3 points each and multiple choice

questions worth 8 points each. How many multiple choice questions are on the test?
Mathematics
1 answer:
Masteriza [31]3 years ago
8 0
When i divided and got the answer it was 12R4 R=Remainder
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The ratio of the two numbers is 3:4 and their sum is 420. Find the two numbers
sammy [17]

Answer:

0.008

Step-by-step explanation:

because you have to divide it

3 0
2 years ago
Find the length and width of a rectangle that has the given area and a minimum perimeter. Area: 162 square feet
Gnom [1K]

Answer:

The width and length of rectangle is 12.728 m

Step-by-step explanation:

Let the length of the rectangle = L

let the width of the rectangle = W

The subjective function is given by;

F(p) = 2(L + W)

F = 2L + 2W

Area of the rectangle is given by;

A = LW

LW = 162 ft²

L = 162 / W

Substitute in the value of L into subjective function;

f = 2l + 2w\\\\f = 2(\frac{162}{w} )+2w\\\\f = \frac{324}{w} + 2w\\\\\frac{df}{dw} = \frac{-324}{w^2} +2\\\\

Take the second derivative of the function, to check if it will given a minimum perimeter

\frac{d^2f}{dw^2}= \frac{648}{w^3} \\\\Thus, \frac{d^2f}{dw^2}>0, \ since,\frac{648}{w^3} >0 \ (minimum \ function \ verified)

Determine the critical points of the first derivative;

df/dw = 0

\frac{-324}{w^2} +2 = 0\\\\-324 + 2w^2=0\\\\2w^2 = 324\\\\w^2 = \frac{324}{2} \\\\w^2 = 162\\\\w= \sqrt{162}\\\\w = 12.728 \ m

L = 162 / 12.728

L = 12.728 m

Therefore, the width and length of rectangle is 12.728 m

3 0
2 years ago
Plz help! 20 points!
Colt1911 [192]
7. increasing; non-linear
8.A. y=4^x
9.A. y=6x
5 0
3 years ago
david took a survey of 12 people to find out what their favorite animal is. of those 1/3 of the people said they like dogs best.
Artyom0805 [142]
Divide 12 by three. so out of the 12 people he surveyed, 4 liked dogs best.
5 0
3 years ago
Read 2 more answers
Which statement correctly identifies a local minimum of the graphed function?
Rudiy27
Hello,

The tangente at that minimum is horizontal and the graph open downside.

f'(x)=0 and f''(x)<0
5 0
2 years ago
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