Answer:
a)
The initial amount is 141,200.
The decay factor is 0.89, and the decay rate is of 0.11 = 11%.
b)
The function is [tex]y(t) = 141200(0.89)^t[/tex]
The number of bats in 2003 was of 13,729.
Step-by-step explanation:
Exponential decay function:
An exponential decay function has the following format:
[tex]y(t) = y(0)(1-r)^t[/tex]
In which y(0) is the initial value, 1 - r is the decay factor and r is the decay rate, as a decimal.
A. Identify the initial amount, the decay factor, and the decay rate
In 1983 there were 141,200 bats living in the caves, which means that the initial amount is 141,200.
That number decreased by about 11% annually until 2003 means that the decay factor is 1 - 0.11 = 0.89 and the decay rate is 0.11 = 11%.
B. Write a function that models and number of that since 1983 then find the number of bats in 2003
With the data found in question A, we have that:
[tex]y(t) = y(0)(1-r)^t[/tex]
[tex]y(t) = 141200(1-0.11)^t[/tex]
[tex]y(t) = 141200(0.89)^t[/tex]
The function is [tex]y(t) = 141200(0.89)^t[/tex]
Number in 2003
2003 is 2003 - 1983 = 20 years after 1983, so this is y(20).
[tex]y(20) = 141200(0.89)^{20} = 13729[/tex]
The number of bats in 2003 was of 13,729.
210, 206, 202, ... Find the 35th term.
Answer:
74,
We found out the hard way
I’m about to smash my laptop with a brick please please help
Answer: y = 800
Step-by-step explanation:
3(y+200) = 3000
y+200 = 1000 (dividing 3 from both sides)
y = 800
I haven't done this for a while and completely forgot how to do it
Answer:
SinC = 7/25
CosC = 24/25
TanC = 7/24
Solve the inequality. 3/4x−2/3≤5/6 Choose the solution that is graphed on this number line.
Answer:
x ≤ 2
(when graphed, closed circle on two, shaded to the left)
Step-by-step explanation:
3/4 x - 2/3 ≤ 5/6
Add 2/3 to both sides:
3/4x ≤ 5/6 + 2/3
3/4x ≤ 3/2
Divide by 3/4 on both sides:
x ≤ 3/2 ÷ 3/4
x ≤ 2
Part A:
A circle is inscribed in a square. Each side of the square is 10 centimeters long.
What is the area of the circle?
Part B:
Find area of the shaded region that is outside the circle but inside the square
Answer:i think it is 5
Step-by-step explanation:
Write each ratio in its simplest form 8: 10 show working
Answer:
Simple solution for that!
4 : 5
Step-by-step explanation:
both 8 and 10 are divided by 2
8 ÷ 2 : 10 ÷2
4 : 5
further can't simplify so 4 : 5 is the answer
What is the surface of the following?
Answer:
answer 105
Step-by-step explanation:
3x5=15
than do 15x7 u will get 105
Four less than the product of 6 and a number n is -30.
What is the number?
Answer:wait it must be 30 for the product which means the answer is 26
Step-by-step explanation:
PLEASE HELP ASAP What is the volume of this sphere to the nearest hundredth?
Answer:
882.347
Step-by-step explanation:
Solve the following one-step inequality : -12+x ≥9
I GIVE BRAINLEST I KNOW I SPELL WRONG
Answer:
x ≥ 21
Hope this helps!
Answer:
plz give the other person brain thingy :D
Step-by-step explanation:
10. Solve for all values of x algebraically (find the zeroes):
3x^2 +12x – 7 = x^2+ 3x – 2
Answer:
x = -5 or 1/2
Step-by-step explanation:
From the question,
3x²+12x-7 = x²+3x-2
Collect like terms
3x²-x²+12x-3x-7+2 = 0
2x²+9x-5 = 0
Using factorization method to solve the quadratic equation
2x²+10x-x-5 = 0
(2x²+10x)-(x+5) = 0
2x(x+5)-1(x+5) = 0
(x+5)(2x-1) = 0
Either,
x+5 = 0
x = -5
or,
2x-1 = 0
2x = 1
x = 1/2.
Therefore,
x = -5 or 1/2
Find the distance between two points (5,13) and (2,13)
Answer:
You go 3 left on the x axis
Step-by-step explanation:
Answer:
[tex]\Huge\boxed{3}[/tex]
Step-by-step explanation:
Hello There!
So for this problem we want to find the distance between two points
The y values of the given points are the same so all we have to do is subtract the highest x value from the lowest x value
5 - 2 = 3
so the distance between the two points is 3
im having issues with this, can i get help as soon as possible (image included)
What is the surface area of the box if it is scaled up by a factor of 10?
the surface area is 206 in, width 9 in, length 13 in, height 4 in
(first to answer gets brainly please need answer quick!)
Answer:
6l², where l is the length of one side.
If the side is increased 10 times,
6(10l)²
=100 x6l²
The surface area increases 100 times. Thus, the new surface area is
272 * 100
= 27,200 sq in
Step-by-step explanation:
Mariam is going to see a movie and is taking her 3 kids. Each movie ticket costs $12 and there are an assortment of snacks available to purchase for $3 each. How much total money would Mariam have to pay for her family if she were to buy 6 snacks for everybody to share? How much would Mariam have to pay if she bought x snacks for everybody to share?
Cost for 6 snacks:
Cost for xx snacks:
Answer:3 times 6 = 18 + (3 times 12)
then for x its 3x + 18
Step-by-step explanation:
Given the graph, find the slope
Answer:
[see graph]
Step-by-step explanation:
I will be using the x and y-intercepts.
(-4, 0)
(0 ,-3)
[tex]\frac{-3-0}{0+4}=\frac{-3}{4}=-\frac{3}{4}[/tex]
Hope this helps.
Work out 3/5 - 1/3
In its simplest form
Work out 2/5 x 5/6
In its simplest form
[tex]3 \div 5 - 1 \div 3 = 9 - 5 \div 15 \\ = 4 \div 15 \\ \\ 2 \div 5 \times 5 \div 6 = 2 \div 6[/tex]
Hope it helps
Which is the rate of change for the interval between 3 and 6 on the x-axis?
-3
-2
2
3
Answer:
2
Step-by-step explanation:
I'm here to settle this :p
eight times a number plus five times another number is -13. the sum of the two is 1. What are the numbers?
Answer:
-6 and 7
Step-by-step explanation:
x is one number and y is the other
(1)----------------- 8x+5y=-13
(2)------------------ x+y= 1
first, let multiply both sides of (x+y=-1) by 8
(3)----------------- 8x+8y=8
lets subtract (1) from (3)
(8x+8y)-(8x+5y)=8-(-13)=3y
8-(-13)=3y -> 21=3y
y=7
lets plug in 7 into (2) for x
x+7=1
x=-6
the numbers are -6 and 7
Pls help me I have asked this question so many times if you answer I will make you brainliest and my friend so pls answer with NO LINKS!
Answer:
x=-4
Step-by-step explanation:
lol i cant explain
find the area of triangle ABC.
Give your answer correct to 1 decimal place.
hey guys pls help ASAP
help me Find the Area of the Trapezoid
Answer:
294
Step-by-step explanation:
14 x 9 = 126
so the area of your rectangle is 126.
15 - 9 = 6
so 6 is the width, 14 is the height.
14 x 6 = 84
now you have to multiply is by 2, because there is still another Triangle on the other side.
84 x 2 = 168
Now you take 168 and 126 and add your areas, and you have found the complete area!
168 + 126 = 294
I hope this helps! :)
Brainliest please??
Single term algebraic expression is called?
Answer:
Monomial
Step-by-step explanation:
I got it correct
A diameter of a circle has enpoints (-2, 10) and (6, -4) in the standard (x, y) coordinate plane. What is the center of the circle?
Answer:
The center of the circle is [tex]C(x,y) = (2, 3)[/tex].
Step-by-step explanation:
The center of the circle is the midpoint of the segment between the endpoints. We can determine the location of the center by this vectorial expression:
[tex]C(x,y) = \frac{1}{2}\cdot R_{1}(x,y)+ \frac{1}{2}\cdot R_{2}(x,y)[/tex] (1)
Where:
[tex]C(x,y)[/tex] - Center.
[tex]R_{1} (x,y)[/tex], [tex]R_{2} (x,y)[/tex] - Location of the endpoints.
If we know that [tex]R_{1} (x,y) = (-2,10)[/tex] and [tex]R_{2} (x,y) = (6,-4)[/tex], then the location of the center of the circle is:
[tex]C(x,y) = \frac{1}{2}\cdot (-2,10)+\frac{1}{2}\cdot (6,-4)[/tex]
[tex]C(x,y) = (-1, 5) + (3, -2)[/tex]
[tex]C(x,y) = (2, 3)[/tex]
The center of the circle is [tex]C(x,y) = (2, 3)[/tex].
The price of a toy usually costs £50 is increased to £65 work out the percentage increase
Answer:
Step-by-step explanation:
10% of 50 = 5
5% of 50 = 2.5
to get to 65 u do 5+5 = 10 so so far that is 20% but 20% only gets u to 60 so u add another 10% to reach 65
u have used 30% so the answer to yr question is 30%
does this help comment if / if nothey i know this may be a lame question but can anyone help me how can i multiply 16 with 3,142 (with steps) ?? :/
Answer:
50272
Step-by-step explanation:
Okay how I solve these equations is I take the problem apart like this:
3142 = 3000 + 100 + 40 + 2
Now we multiply each number by 16:
3000 * 16 = 48000
100 * 16 = 1600
40 * 16 = 640
2 * 16 = 32
Then we add all the totals together:
48000 + 1600 + 640 + 32 = 50272
Hope this Helps ;)
The scatter plot of which type of data is most likely to suggest a linear association between the two variables?
Answer: age and heights of a group of dogs
Step-by-step explanation:
i did this in iready and got it correct
The scatter graph for level of water in a dam on each day and date for one month type of data is most likely to suggest a linear association.
What is scatter plot?A scatter plot, like a scatter chart or graph, employs dots to represent the values of two numerical variables. The horizontal value represents the data from individual points. Hence, it is used to observe the relationships between variables.
The scatter plot can provide the values for the data set. The points can be of various sizes, colours, and forms. The information is presented in the form of points.
The values are represented on the vertical axis. The data association can be positive, negative, or neutral. A mosaic and a fluctuational diagram can be displayed on the scatter plot.
Thus, the plot which can be linear association form level of water in a dam on each day and date for one month
Learn more about scatter plot here:
https://brainly.com/question/16423546
#SPJ7
Can someone please help me, determine if they are equivalent yes or no I’ll mark brainliest please
Answer:
from the top-
yes
no
no
no
What is the sum of -64/5 and 64/5 ?
Answer and Explanation
0This is because they are both the same opposite number, and you are adding.
But, if it was, [tex]\frac{64}{5}+\frac{64}{5}[/tex] then it would be [tex]25.6[/tex] or [tex]\frac{128}{5}[/tex].
So, the answer is 0.
Hope this helps =)
PROOF PLZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZ
Answer:
16
Step-by-step explanation:
The formula used to find the area of a triangle is
[tex] \frac{1}{2} b \times h[/tex]
so the area of the triangle is
[tex] \frac{1}{2} \times 8 \times 4[/tex]
because 8 is the base and 4 is the height of the triangle
Therefore the area of the triangle is 16