Divide 3.7÷0.006 round the answer the nearest hundredth?

Answers

Answer 1
Answer: First divide 3.7 by 0.006
Which is 616.666
The last 6 is the thousandths place. If it is 5 or bigger then the number to the left is rounded up. If its lower than 5 you round down

Since 6 is over 5 we tound up
616.67

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Find the eccentricity of 8x^2 + 6y^2 - 32x + 24y + 8 = 0

Answers

1) 
x 2 + y 2 - 10x - 8y + 1 = 0. 
(x^2-10x+25-25) +(y^2-8y+16-16) + 1 = 0 
(x-5)^2 -25 + (y-4)^2 -16 + 1 = 0 
(x-5)^2+(y-4)^2 = 40 

center (5,4); radius = sqrt(40) 

2) 
8x^2+ 6y 2 - 32x + 24y + 8 = 0. 
8(x^2-4x+4-4) +6(y^2+4y+4-4) +8=0 
8(x-2)^2 -32 + 6(y+2)^2 -24 + 8 = 0 
8(x-2)^2+6(y+2)^2 = 48 
divide throughout by 48 
(x-2)^2 /6 + (y+2)^2 /8 = 1 

Ellipse with center (2,-2) 
a=sqrt(6) 
b=sqrt(8) 
c^2= 8-6 = 2 
c= sqrt(2) 
eccentricity = c/a = sqrt(2)/sqrt(6) 

3) 
y=x^2-12x+36-36 
y=(x-6)^2 - 36 
Vertex is (6,-36) 

(x-h)^2=4p(y-k) 
(x-6)^2 = 4p(y+36) 
4p=1 
p=1/4 
focus : (h, k+p) = (6, -36+1/4) = (6, -143/4) 

4) 
focus lies on a vertical line, so the major axis is parallel to the y-axis 
(x-h)^2/a^2 +(y-b)^2/b^2 = 1 
h=-2 
k=0 
(x+2)^2/a^2+y^2/b^2 = 1 
2b=20 
b=10 
b^2=100 
(x+2)^2/a^2 +y^2/100 = 1 


e=c/a 
c/a = 4/5 
c=(4/5) a 
c^2 = 16/25 a^2 
c^2 = b^2-a^2 
(16/25) a^2 = 100 - a^2 
a^2(16/25+1) = 100 
41a^2/25 = 100 
a^2=2500/41 
a= sqrt(2500/41) 

(x+2)^2/a^2 +y^2/100 = 1 
(x+2)^2 /[2500/41] + y^2/100 = 1

Bryan’s monthly electric bill is determined by adding a flat administration fee to the product of the number of kilowatt hours of electricity used and the cost per kilowatt hour. When he uses 1,100 kilowatt hours of electricity, his bill is $113. When he uses 1,500 kilowatt hours of electricity, his bill is $153. What is the monthly administration fee?

Answers

We will form the equations for this problem:
(1) 1100*y + z = 113
(2) 1500*y + z = 153
z = ? Monthly administration fee is notated with z, and that is the this problem's question.
Number of kilowatt hours of electricity used are numbers 1100 and 1500 respectively.
Cost per kilowatt hour is notated with y, but its value is not asked in this math problem, but we can calculate it anyway.
The problem becomes two equations with two unknowns, it is a system, and can be solved with method of replacement:
(1) 1100*y + z = 113
(2) 1500*y + z = 153
----------------------------
(1) z = 113 - 1100*y [insert value of z (right side) into (2) equation instead of z]:
(2) 1500*y + (113 - 1100*y) = 153
-------------------------------------------------
(1) z = 113 - 1100*y
(2) 1500*y + 113 - 1100*y = 153
------------------------------------------------
(1) z = 113 - 1100*y
(2) 400*y + 113 = 153
------------------------------------------------
(1) z = 113 - 1100*y
(2) 400*y = 153 - 113
------------------------------------------------
(1) z = 113 - 1100*y
(2) 400*y = 40
------------------------------------------------
(1) z = 113 - 1100*y
(2) y = 40/400
------------------------------------------------
(1) z = 113 - 1100*y
(2) y = 1/10
------------------------------------------------
if we insert the obtained value of y into (1) equation, we get the value of z:
(1) z = 113 - 1100*(1/10)
(1) z = 113 - 110
(1) z = 3 dollars is the monthly fee.

Answer:

3

Step-by-step explanation:

correct on ed (:

Wat is the common denominator of 1 and 6/4 and 1

Answers

Answer:

2

Step-by-step explanation:

4 is the common denominator.

1 and (6)/(4) can be converted into (4)/(4) + (6)/(4) = (10)/(4) we can divide both the numerator and denominator by 2 in order to simplify this fraction to get a fraction of (5)/(2)

1 can be converted to a fraction of (2)/(2)

The sum of three consecutive numbers is 117. find the largest of the numbers

Answers

consecutive means right after each other
difference of 1
numbers are
x,x+1,x+2
their sum is 117
x+x+1+x+2=117
add
3x+3=117
subtract 3 form both sides
3x=114
divide both sides by 114
x=38
largest number is x+2
38=x
x+2=38+2=40

largest number is 40
Divide 117 by three to get the middle name number, then you subtract one and add one to 1 of the three 39's to get your numbers as 38, 39, 40. And the largest number. Is 40. Hope this helped.

The manager of a warehouse would like to know how many errors are made when a product’s serial number is read by a bar-code reader. Six samples are collected of the number of scanning errors: 36, 14, 21, 39, 11, and 2 errors, per 1,000 scans each. What is the mean and standard deviation for these six samples?

Answers

Answer:

Mean=20.5

standard deviation=13.28

Step-by-step explanation:

We are given six samples i.e.

36, 14, 21, 39, 11, and 2

Mean is the average of all the samples

Mean= sum of all samples/no. of samples

Mean=(36+14+21+39+11+2)/6

Mean=20.5

Standard deviation is the positive square root of variance where

variance= sum of square of samples/number of samples-(mean)²

variance=(36²+14²+21²+39²+11²+2²)/6-(20.5)²

            = 596.5-420.25

            =   176.25

standard deviation= √(176.25)

standard deviation= 13.28

Find the solution set (x+1)(x+1)=0

Answers

x= -1 beacuse negative one plus one is 0 and that will equal zero for both sides
(x+1)(x+1)
x²+2x+1=0
x²+1x+1x+1=0
x(x+1)+1(x+1)
(x+1)(x+1)
x=-1