Step-by-step explanation:
the average rate of change of a function f in an interval [x-low, x-high] is
(f(x-high) - f(x-low)) / (x-high - x-low)
the year 2000 means t = 2000-1980 = 20
the year 2015 means t = 2015-1980 = 35
so, we have
(A(35) - A(20)) / (35 - 20)
((-0.6(35)² + 37.2×35 + 243) - (-0.6(20)² + 37.2×20 + 243)) / 15
((-735 + 1302 + 243) - (-240 + 744 + 243)) / 15
(810 - 747) / 15 = 63/15 = 4.2
the average change rate between 2000 and 2015 is 4.2.
that means that the use of nuclear energy in the USA increased by 4.2 billions of kilowatt hours per year during that period.
The length of a rectangle is three more than twice it’s width. The perimeter of the rectangle is 246 cm. Write an equation to find the perimeter and then find the length of the rectangle.
Answer:
83 cm
Step-by-step explanation:
Let the length of the rectangle be L cm and the width be W cm.
L= 2W +3 -----(1)
Perimeter of rectangle= 2(length) +2(width)
2L +2W= 246 -----(2)
Substitute (1) into (2):
2(2W +3) +2W= 246
Expand:
4W +6 +2W= 246
Simplify:
6W +6= 246
Divide both sides by 6:
W +1= 41
W= 41 -1
W= 40
∴ width of the rectangle is 40cm.
Substitute value of W into (1):
L= 2(40).+3
L= 80 +3
L= 83
Thus, the length of the rectangle is 83 cm.
8.90 x 3.12 will give brainlist
27.768
Multiply 890 and 312
This equals 277680
We know that there were 4 numbers behind a decimal point
Therefore the last four numbers of 277680 need to be behind a decimal point as well
So you're answer is 27.7680 or 27.768
Could I get help with 8-11 please :(
Answer:
8. m∠1 = 64, m∠2 = 26, m∠3 = 36
9. m∠1 = 73, m∠2 = 58, m∠3 = 107, m∠4 = 49, m∠5 = 131
10. m∠1 = 34, m∠2 = 52, m∠3 = 38, m∠4 = 94, m∠5 = 56, m∠6 = 38
11. m∠1 = 62, m∠2 = 71, m∠3 = 109, m∠4 = 35, m∠5 = 109, m∠6 = 29, m∠7 = 47, m∠8 = 62
Step-by-step explanation:
8. m∠1 = 180 - (75 + 41) = 180 - 116 = 64
m∠2 = 90 - 64 = 26
m∠3 = 90 - 54 = 36
9. m∠3 = 180 - 73 = 107
m∠1 = 73
m∠2 = 180 - (73 + 49) = 180 - 122 = 58
m∠4 = 49
m∠5 = 180 - m∠4 = 180 - 49 = 131
10. m∠6 = 90 - 52 = 38
m∠3 = m∠6 = 38, m∠2 = 52
m∠5 = 180 - (86 + 38) = 180 - 124 = 56
m∠1 = 90 - 56 = 34
m∠4 = 180 - (34 + 52) = 180 - 86 = 94
11. m∠2 = 71
m∠3 = m∠5 = 180 - 71 = 109
m∠1 = 180 - (47 + 71) = 180 - 118 = 62
m∠4 = m∠2 - 36 = 71 - 36 = 35
m∠6 = m∠2 - 42 = 71 - 42 = 29
m∠7 = 47
m∠8 = m∠1 = 62
What’s 20/10 simplified??
Answer:
answer is 2
Step-by-step explanation:
20/10
divide both answers by ten
2/1
then one is meaningless so u remove it
A blank 2-column table with 3 rows. Column 1 is labeled Column A and Column 2 is labeled Column B. A blank graph has label B on the x-axis and label A on the y-axis. Weather data is collected to analyze wind speed according to temperature. Identify the variables as either input or output to label the table and graph. Column A = Column B = Label A = Label B =
A= temperature column B= wind speed. Label A= wind speed label B= Temperature
you have one apple you get another how many do you have cut
Answer:2
1+1=2
NO WAY
What are the values of v and w?
What does the transformation f(x)↦f(x)+5 do to the graph of f(x)?
Answer:
Moves it up 5 units
Step-by-step explanation:
The +5 outside of any parenthesis on a graph moves it up.
to the nearest tenth, the P(z<-1.4) is:
A) 6.7%
B) 8.1%
C) 80.8%
D) 91.9%
Answer: everyone to the nearst tenth is 7% 8% 81% 92%
Step-by-step explanation: if this is what it is i did this in the 4th
A tree grew from a height of 6 feet to 15 feet. By what percent did its height increase?
Answer:
It increased by 150%
Step-by-step explanation:
The graph of y=mx is a straight line :
(a) Parallel to the x-axis.
b) Passing through the origin
(c) parallel to the y-axis.
(d) coincides with the x-axis.
Given :-
The graph of y=mx is a straight line :(a) Parallel to the x-axis.b) Passing through the origin(c) parallel to the y-axis.(d) coincides with the x-axis.To find :-
The correct option .Solution :-
General Equation of slope intercept form ,
y = mx + c .Here c = 0 , so its y intercept will be (0,0) . Hence it will pass through origin .
will pass through origin.10. Write About It Meredith describes to Liza two purchases she made.
"On Monday, I bought 39 books and 21 CDs for $396. On Tuesday, at the
same prices, I bought 52 books and 28 CDs for $518."
Liza thought about the numbers and said, "That's impossible!" Is Liza
correct? Assume that all books cost the same amount and all CDs cost
the same amount. Explain.
Answer:
Yes, because the 39 books and 21 cds price is proportional to the 52 books and 28 cds' price
Step-by-step explanation:
:>
HELP ASAP 100 POINTS!
Which of the following represents a function?
(-1, 2), (-2, 1), (-1, -2), (-2, -1)
(3, 4), (-3, 2), (3, 8), (5, 5)
(2, 3), (4, 3), (-2, -3), (-4, -3)
(5, 1), (5, 2), (5, 3), (5, 4)
Step-by-step explanation:
If in any set, you can find 2 or more points that lie on the same vertical,
then it is NOT a function, that is, the same value of x yields 2 or more different
values of y, you don't have a function.
e.g. D is definitely not a function. You have (-2,4) and (-2,-4) , the same x of -2 giving you a y value of 4 and -4.
what is (x^2+2)(5x+1) multipyed
Answer:
[tex]5x^{3} + x^{2} + 1 0 + 2[/tex] Is the correct answer
Step-by-step explanation:
in pic
(Credit: Symbolab)
(Hope this helps can I pls have brainlist (crown)☺️)
(x²+2)(5x+1) =5x³+x²+10x+2
hope it helps
Help please!!!!!!!!!
solve the inequality
(x+5)^2≤0
Answer:
-5
Step-by-step explanation:
How do I find all the angles?
Step-by-step explanation:
so let's say
•(x + 60) = <a
•2x = <b
so
•<a = <z & <b = <y
&
•<a + <b = 180
(x + 60) + 2x = 180
3x + 60 = 180
3x = 180 - 60
3x = 120
x = 40
• <a = (x + 60)
= 40 + 60
= 100
• <b = 2x
= 2 × 100
= 200
• <y = <b
= 200
• <z = <a
= 100
Step-by-step explanation:
so in a 4 sided figure all the angles measure to 360º in total
as well as in this case due to the two lines being parallel z=x+60 and y=2x
The easiest way for me is to write that all the angles = 360.
x+60+x+60+2x=2x=360
6x+120=300 simplify
6x=180 divide
x=30
so the angles are all 90º if you find each of them
justify each step and write their properties
2(7-v)-3v
Answer:
[tex]{ \rm{2(7 - v) - 3v}}[/tex]
• Apply distribution property
[tex]{ \rm{ = 14 - 2v - 3v}}[/tex]
• Simplify:
[tex] = { \rm{14 - 5v}}[/tex]
Answer:
Given, Distributive, Associative, Addition, Simply
Step-by-step explanation:
2(7 - v) - 3v Given
14 - 2v - 3v Distributive
14 + (-2v -3v) Associative
14 + (5v) Addition
14 - 5v Simply
How do I do 7<1+x in linear equations
Answer:
7<1+x
1+x>7
x>7-1
x>6
Step-by-step explanation:
hope this helps a little
Need help with this ‘
HELP ME PLEASE I AM SO DESPERATE THIS IS DUE IN 12 minutes!!!!
Answer:
3/4
Step-by-step explanation:
Can someone answer this for me
How do solve this chart!? : (
Answer:
blank chart
Step-by-step explanation:
8. Negative three times the sum of a number and two is fifteen
Answer:
-3(n + 2)= 15
Step-by-step explanation:
Based on this question, we know that the equation involves multiplication. Here we start our equation with -3!
Then it says "times the sum of a number and two" So let's just say the "number" is "n". The word "sum" means the answer to an addition problem, thus we know that we are adding "n" and 2. Let's put that in parenthesis!
-3(n+2)
And it says "is fifteen" which also means "equals to fifteen"
Therefore, the answer is:
-3(n + 2) = 15
Hope you find this useful :D
point S lies an AB. If AB=34 units, AS=5+2x units, and SB=x+2 units, what is the length of AS in units?
Answer:
5+2x+x+2=34
7+3x=34
7-7+3x=34-7
3x=27
3x/3=27/3
x=9
5+2x=AS
5+(2*9)=AS
5+18=AS
23=AS
23 units
Step-by-step explanation:
Can I please know how to solve this
Sorry that took so long......
Messed up on the last part!
Have a great day!!!!!
One fourth of a Number decreased by three is at least two.
Answer:
100
Step-by-step explanation:
1/4 of 100 is 25. 25-3=22, which is at least 2.
Question is in image.
a. x = 4, RS = TS = 23, RT = 7
b. x = 2, RS = TS = 20, RT = 5
c. x = 3, RS = TS = 29, RT = 8
d. x = 5, RS = TS = 18 RT = 4
Answer:
C.
Step-by-step explanation:
HOPE ITS HELP
whith jrverano2010
4-2y=-2x in slope intercept form
Answer:
y=x+2
Step-by-step explanation:
4-2y=-2x
Divide everything by 2.
2-y=-x
Switch to y=mx+b form.
-y=-x-2
Multiply everything by +1.
y=x+2
guys pls help me!!!!!!!
Answer:
5.
Step-by-step explanation:
9y - 6 + 51 = 90
9y + 45 = 90
9y = 45
y = 5.