Using coordinates O(0,0), E(0, 2b), and F(2a, 0) rather than O(0, 0), E(0, b), and F(a, 0) has the advantage of allowing the graph to be stretched or shrunk uniformly in both the x- and y-directions by a factor of 2. This can be useful if the scale of the graph needs to be adjusted, or if the graph needs to be compared to another graph with a different scale. It can also make the graph easier to read if the values of the variables being plotted are very large or very small.
By using coordinates that are multiples of the original coordinates, the shape of the graph is preserved, but the scale is changed. This can be useful if the purpose of the graph is to compare the relationships between different variables, rather than to provide an accurate representation of the actual values of the variables.
The number of butterflies in an exhibit is decreasing at an exponential rate of decay. The number of butterflies is decreasing by 5% every year. There are 500 butterflies in the exhibit right now. How many butterflies will be in the exhibit in 7 years? Round your answer to a whole number.
Answer:
349 butterflies
Step-by-step explanation:
The formula for Exponential Decay =
y = a(1 - r)^t
Where y = Size of population after time t = ?
a = Initial size of population = 500
r = Decay rate = 5%
t = Time = 7 years
Hence,
y = 500(1 - 0.05)⁷
y = 500(0.95)⁷
y = 349.16864805 butterflies.
Approximately = 349 butterflies
definition of interest
HEY THERE! PLS HELP ME WITH THIS MATH QUESTION- AN EXPLANATION WOULD BE GREAT! THE CORRECT ANSWER SHALL BE MARKED AS BRAINLIEST AND ACHIEVE 10 POINTS! THANKS :)
xoxo
Answer:
I might be wrong but I think it's 180 millimeters.
Step-by-step explanation:
4cm times 5cm times 9cm = 180 millimeters
1. 4cm times 5cm = 0.002 m^2
2. 0.002 m^2 times 9cm = 180 millimeters
Hopes this helps. If not please tell me. I will try to improve.
I need help with these question! Please do step by step :)
Answer:
Number of bags of chocolate chip cookies = x = 0.133 bags
Number of bags of walnuts = 7.7 bags
Step-by-step explanation:
Chocolate chip cookies = 12oz per bag = $3
Walnuts = 4oz per bag = $2
She need 3 pounds of Chocolate chip cookies and Walnuts
Let us represent
Number of bags of chocolate chip cookies = x
Number of bags of walnuts = y
She need 3 pounds of Chocolate chip cookies and Walnuts
Hence,
We have to convert oz (ounces) to pounds
For chocolate chip cookies
1 oz = 0.0625 pound
12 oz = x
Cross Multiply
x = 12 × 0.0625 pound
x = 0.75pound
For Walnuts
1 oz = 0.0625 pound
4 oz = x
Cross Multiply
x = 4 × 0.0625 pound
x = 0.25pound
Hence,
0.75 pound = $3
0.25 pounds = $2
She can only spend $15
Chocolate chip cookies = 12oz per bag = $3
Walnuts = 4oz per bag = $2
Hence,
0.75x + 0.25y = 3..... Equation 1
3x + 2y = 15.... Equation 2
Multiply Equation 1 by 2 and Equation 2 by 0.25
1.5x + 0.5y = 3... Equation 3
1.5x + 4y = 30.... Equation 4
Subtract Equation 3 from 4
3.5y = 27
y = 27/3.5
y = 7.7 bags
Solving for x using Equation 2
3x + 2y = 15.... Equation 2
3x + 2(7.7) = 15
3x + 15.4 = 15
3x = 0.4
x = 0.4/3
x = 0.133 bags
Number of bags of chocolate chip cookies = x = 0.133 bags
Number of bags of walnuts = 7.7 bags
What is the distance between the points (-5, 9) and (4, 9) on the coordinate plane? 9 9 1 1 10 10 90
Answer:
9 units
Step-by-step explanation:
Given: Two points on a coordinate plane are [tex](-5,9),\,(4,9)[/tex]
To find: distance between points [tex](-5,9),\,(4,9)[/tex]
Solution:
According to the distance formula,
Distance between points [tex](a,b)[/tex] and [tex](c,d)[/tex] is equal to [tex]\sqrt{(c-a)^2+(d-b)^2}[/tex]
Take [tex](a,b)=(-5,9),\,(c,d)=(4,9)[/tex]
Therefore,
Distance between points [tex](-5,9),\,(4,9)[/tex] [tex]=\sqrt{(4+5)^2+(9-9)^2}[/tex]
[tex]=\sqrt{(9)^2}[/tex]
[tex]=9[/tex] units
Israel has a total of 25 coins in his pocket - they are
all quarters and dimes. The value of the coins are
$3.85. How many quarters and dimes are in Israel's
pocket?
X - quarters
y - dimes
Answer:
15x 1y
Step-by-step explanation:
im smart
Help??? The answer I put was an accident and I can’t take it away
Answer:
try clicking on another option?
Please help me with this. I don't know how I can thank you, but I need this ASAP. More questions coming.
Answer:
The answer you have marked is correct
Step-by-step explanation:
The angles added together equal 360
What is the equation of the line that has a slope of 0 and passes through the point (6, -8)?
Answer:
your answer will be J. Y=-8
Step-by-step explanation:
Y=mx+b (6, -8)
(-8)= 0(6) +b
(-8)= 0+b
(-8)= b
Y=0(6)-8
y=-8
PLEASE HELP ASAPPP ILL MARK BRAINLY IF CORRECT
Answer:
I don't really understand this problem from the picture but here is some tips-
Step-by-step explanation:
Because the domain refers to the set of possible input values, the domain of a graph consists of all the input values shown on the x -axis. The range is the set of possible output values, which are shown on the y -axis.
Use the picture attached. Sorry for not answering the exact question!
Can I get brainliest?
Sumeet bought a few fidget spinner and divided it equally among six of his friends and his sister, Jasmine. While playing, Jasmine lost 2 fidget spinners and has only 12 fidget spinners at present. Find how many fidget spinners did Sumeet buy in all.
Answer:
Yes
Step-by-step explanation:
Ye yes yes =yes yes hes
I NEED HELP ASAP I WILL GIVE BRAINLIST
A camera has a listed price of $553.98 before tax. If the sales tax rate is 7.5%, find the total cost of the camera with sales tax included. Round your answer to the nearest cent, as necessary.
519.99(.0825) = 42.899
519.99 + 42.899 = $562.89
Answer:
Sales tax---> 553.98 x 0.075= 41.5485
Total---> 553.98 + 41.5485= 595.5285
Round to nearest tenth---> 595.53 is your answer
Write an expression that represents the perimeter of a trapezoid with side lengths z+5,8z-10, 4z+9, and 3z-6
Answer:
Perimeter = (16z - 2)
Step-by-step explanation:
Perimeter of a polygon = sum of the lengths of all sides of the polygon
Sum of all sides of the trapezoid = (z + 5) + (8z - 10) + (4z + 9) + (3z - 6)
By adding like terms,
Perimeter of the trapezoid = ( z + 8z + 4z + 3z) + (5 - 10 + 9 - 6)
= 16z - 2
Therefore, expression representing the perimeter of the trapezoid will be,
(16z - 2)
if the diamter of the sun is 16cm, what is the area
201.06cm²
Hope this helps.
Please help and thank you
Answer:
D
Step-by-step explanation:
Help me please I'm very confused about this!
Answer:I think it's trying to find the area of which is a 5 times 2 = 10
Step-by-step explanation:
I only need the explanation
Step-by-step explanation:
start with bracket,4 + 8=12
1/2×12=6
Movers are filling the truck below with cube shaped boxes. If each box has edge lengths of 12 yard, how many total boxes will fit in the truck? L: 3 1/2 yds W: 5 yds H: 2 1/2 yds
Answer:
14boxes
Step-by-step explanation:
Given the following
Length of truck: 3 1/2 yds
Width of truck: 5 yds
Height of truck: 2 1/2 yds
Volume of truck = Length * Width * Height
Volume of truck = 3 1/2 * 5 * 2 1/2
Volume of truck = 7/2 * 5 * 5/2
Volume of truck = 7/4 cubic yards
For each box
Length L = 1/2 yd
Volume of each box = 1/2 * 1/2 * 1/2
Volume of each box = 1/8 cubic yds
Since 1 box = 1/8 cubic yds
x box = 7/4 cubic yds
Cross multiply
1/8x = 7/4
Cross multiply
4 * x = 7 * 8
4x = 56
x = 56/4
x = 14
Hence the total boxes that can fit in the trunk is 14boxes
What is the sum?
Thank you!
Answer:
50 is the sum
Step-by-step explanation:
-10+20=10
10+-40=-30
-30+80=50
Write the absolute value equations in the form |x-b|=c(where b is a number and c can be either number or an expression) that have the following solution sets:
One solution: x=15
Answer:
|x-15|=0
Step-by-step explanation:
Obviously.
Answer:
|x-15|=0
Step-by-step explanation:
What is the value of (–7 +31) - (2-61)?
-9+9i
Hope this helped :T
Maribel pidio 100 refrescos a una tienda,los de naranja se los vendieron a $35.00 y los de cola a $38.00 si pago en total $3620 cuantos refrescos de naranja pideo
Answer:
the number of orange sodas be 60
Step-by-step explanation:
Let us assume the orange ones be x
And, the cola ones be y
Now according to the question
x + y = 100
y = 100 - x.........(1)
35x + 38y = $3,620........(2)
Now put the value of equation 1 in equation 2
So,
35x + 38(100- x) = 3620
35x + 3800 - 38x = 3620
-3x = -180
x = 60
Hence, the number of orange sodas be 60
HELPPPPP
CAN ANYBODY TELL ME IF 3.375 IS THE ANSWER
what would be the ending bank balance?
What will be the 7th term in the sequence
Enter your answer as a fraction.
Answer:
1/32
Step-by-step explanation:
You plug 7 for n and solve in calculator.
Answer:
1/128*4= 0.03125
Step-by-step explanation:
We can simplify the formulas to get 1/2^n *4. Substitute 7 for n and you get your answer.
find the perimeter:
The answer choices are down below:
80.8m or 91.7m.
Perimeter of the shape is =sum of all the side
Perimeter =16.2+7.5+18+12+18+7.5
Perimeter =79.2
Perimeter
Answer:
perimeter=12+18+18+7.5+7.5+16.2
=79.2m
HELP ME angle-angle similarity
EBK THE ANSWER IS Y O U R M O M I S G A Y
Write an equation and find missing angle . 6x ° and 30 °
6x+30=180
6×=180-30
×=150/6
×=25
6x=6×25=130
work out how many degrees
I NEED HELP ASAPPP NO LINKS PLSS
Answer:
heyy! im reaaally sorry if its wrong but I think its c, f, d
brainliest? :)
Step-by-step explanation:
Answer:
7= D
8= F
9= C
Step-by-step explanation:
7. x - 3 [tex]\leq[/tex] 7
+3 +3
x [tex]\leq[/tex] 10
8. 3b < 18
/3 /3
b < 6
9. [tex]\frac{y}{3}[/tex] > 9
*3 *3
y > 27
10- 12 I am so sorry, but I don't understand these functions lol