Answer: It's C=πr2
Step-by-step explanation: I took the test
The size of the coyote population at a national park increases at the rate of 4.3% per year. If the size
of the current population is 183, find how many coyotes there should be in 6 years. Use
y = yoe^0.043t and round to the nearest whole number.
A) 235
B) 241
C) 239
D) 237
Answer:
B
Step-by-step explanation:
The estimated number of coyotes after six years, rounded to the closest whole number, is 237.
Therefore, option D) 237 is the appropriate response.
Given that in a national park the population of coyote is increasing by 4.3% per year.
The current population is 183.
We need to find the size of the population after 6 years.
To calculate the number of coyotes in 6 years using the given growth rate, we can use the formula:
[tex]y = y_oe^{0.043t[/tex]
Where:
y = final population after t years
y₀ = initial population
r = growth rate
t = time in years
In this case, the initial population (y₀) is 183, the growth rate (r) is 4.3% or 0.043, and we want to find the final population (y) after 6 years (t = 6).
Plugging in the values:
[tex]y = 183 \times e^{(0.043 \times 6)[/tex]
Calculating this expression:
[tex]y \approx 183 \times e^{(0.258)[/tex]
Using a calculator:
[tex]y \approx 183 \times 1.294[/tex]
[tex]y \approx 236.502[/tex]
Rounding to the nearest whole number, the estimated number of coyotes after 6 years is 237.
Therefore, the correct answer is option D) 237.
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1) How many fourths are in one whole?
2) How many eighths are in one whole?
3) How many thirds are in one whole?
PLEASE HELP ASAP
Answer:
4 fourths are in one whole
8 eighths are in one whole
and 3 thirds are in one whole
Step-by-step explanation:
Write the number in 2 equivalent forms as a fraction, decimal, or percent.0.40
Answer:
2/5 or 40%
Step-by-step explanation:
.40 is 40 hundredths or 40/100
40/100 can be reduced to 20/50 and reduced again to 10/25 and one more time to 2/5
Percentages are fractions out of 100 so 40/100 would be 40%.
One leg of a right triangle is 7 and the hypotenuse is 10. What is the length of the
other leg?
Answer:
L = 7.14
Step-by-step explanation:
using the Pythagorean theorem:
L² = 10² - 7²
L² = 100 - 49= 51
L = 7.14
Answer:
7.14
Step-by-step explanation:
to answer this you need to use pythagoras theorem and that is A²+B²=c²
in this case C²-A²=B²
10²=100
7²=49
100-49=51
then you need to square root 51 which gives your answer 7.14
if margrate has a basket of apples and pears. the number of apples equals three more than twice the number of pears. if there are 15 pieces ot fruite altogether how many apple and pears are there?
Answer:
There are 6 pears and 9 apples.
Step-by-step explanation:
The equation would be a=3+2p
Please help me figure this out
tell whether the slope is positive or negative. then find the slope.
Answer:
slope is negative
m=-1
Step-by-step explanation:
the slope of a line is positive if it passes through Quadrants III and I. The slope is negative if it passes through II and IV.
yes, this line passes through Quadrant I alongside II and IV, but it doesn't pass through Quadrant III (it has to pass through Quadrant III to be positive)
that means that the slope of this line must be negative
We can calculate the slope (m) with this formula:
(y2-y1)/(x2-x1)
we can pick two points- for example, (1,3) and (2,2)
label the points:
x1=1
y1=3
x2=2
y2=2
now substitute into the equation
m=(2-3)/(2-1)
m=-1/1
m=-1
the slope is -1
Hope this helps! :)
A = 6x – 2
B = 4x + 48
Answer:
X=25
angle A=148
Step-by-step explanation:
since they are alternating angles
A=B
6x-2=4X+48
solve for X
6x-4x=48+2
2x=50
X=25
angle A= 148
Answer:
148
Step-by-step explanation:
I got it right on khan
Mark ran for 15 minutes. How many seconds did Mark run? (1 minute = 60 seconds) seconds
Answer:
900
Step-by-step explanation:
Answer:
900 seconds
Step-by-step explanation:
A landscaper will pave the walkway for $5 per square foot. How much will it cost for Mrs. Johnson to have the landscaper pave her walkway If there is 9ft 16ft and 10ft? HELP PLEASE
A: $117
B: $144
C: $585
D: $720
Semih Bey, her katı eşit yükseklikte olan bir binanın -2. katından asansore binerek 5. kata çıkıyor Semih Bey toplamda3150 santimetre yüksemiştir buna göre binanın her bir katının yükseklığinin kaç santimetre olduğunu bılunuz.
Which angles are complementary to 1? Select all that apply.
Answer:
angle 6 and angle 3
Step-by-step explanation:
angle 1 and angle 6 add up to 90 degrees
angle 6 is vertical to angle 3, so 1 is complementary to 3 as well
How is the unbiasness of estimators defined? Use correct vocabulary.
Don't answer if you don't know for gods sake you're just wasting my points
The unbiased estimator
50 points and Ill give brainiest - please help ASAP with WORK FOR IT please and thank you!! :)
2 pages with work
Answer:
1) (x + 12)²+(y+6)²= 28
comparing above equation with(x-h)²+(y-k)²=r²
we get
r=√28
h=-12
k=-6
;.centre=(-12,-6)
radius =√28 units
2) x²+(y+7)²=15
comparing above equation with(x-h)²+(y-k)²=r²
we get
r=√15
h=0
k=-7
;.centre=(0,-7)
radius=√15 units
3) (x + 4)²+(y - 1)² = 4
comparing above equation with(x-h)²+(y-k)²=r²
we get
r=√4=2units
h=-4
k=1
;.centre=(-4,1)
radius=√2units
4) (x+3)²+(y-1)²= 8
comparing above equation with(x-h)²+(y-k)²=r²
we get
r=√8=2√2units
h=-3
k=1
;.centre=(-3,1)
radius=2√2units
p(x)+p(x+3)=10x-7 find p(3)
Answer:
Simplify each term.
Px+px+3p=10x−7
Move all terms not containing P to the right side of the equation.
Px=10x−7−px−3p
Divide each term by x and simplify.
P=10−7/x−p−3p/x
Step-by-step explanation:
In the figure below, mZPSQ = 70° and m_SRQ = 27°.
What is m<PST?
A. 133° B. 40° C. 97° D. 47°
Answer:
273984828kdjsssdjdjdjdjddddeejddfj
Answer:
47
Step-by-step explanation:
First, all triangles' angles add up to 180 degrees. We would first have to figure out the measure of <QSR. To do this, add all angles you know. We have to assume <SQR is 90 degrees since it is aligned with the other triangle. So, 90+27=117. Then, we would do 180-117 to find <QSR since all triangles angles 180 degrees. This is 63. Then, because these triangles are along a 180 degree (straight) line, we would do <PSQ, 70, so 70+63 which equal 133, and then 180-133 since all angles equal 180. This is 47.
what is the domain of the function?
Answer:
Pretty sure its C, but in 10th grade math they would say the domain is (-∞,∞)Step-by-step explanation:
pls mark brainliest if correct :)
Aleksandra started studying how the number of branches on her tree grows over time. Every 1.51.51, point, 5 years, the number of branches increases by an addition of \dfrac{2}{7} 7 2 start fraction, 2, divided by, 7, end fraction of the total number of branches. The number of branches can be modeled by a function, NNN, which depends on the amount of time, ttt (in years). When Aleksandra began the study, her tree had 525252 branches. Write a function that models the number of branches ttt years since Aleksandra began studying her tree. N(t) =N(t)=N, left parenthesis, t, right parenthesis, equals
Answer:
52(9/7)^t/1.5
Step-by-step explanation:
The function N(t) a which models the number of branches t years after Aleksandra began studying her trees ;
Initial number of branches = 52
Increment every 1.5 years = 2/7
N(t) = Initial * (1 + r)^t
t expressed per year = t/1.5
Hence,
N(t) = 52(1 + 2/7)^t/1.5
N(t) = 52(9/7)^t/1.5
Solve the equation 7= -108 – 3.
Answer:
s=-1
Step-by-step explanation:
Find the missing side of this right triangle.
Answer:
13
Step-by-step explanation:
it's a 5,12,13 triangle
and we can find the sides by Pythagorean theorem:
a^2 + b^2 = root of c
25 + 144 = 169
root of 169 = 13
Solve for the x.
Assume the segments that appear to be tangent are tangent.
4.5 i think im really not sure check with someone else before answering
Find the location of the center of a circle if the endpoints of the diameter are at (-10,
-5) and (8,4).
Answer:
(- 1, - [tex]\frac{1}{2}[/tex] )
Step-by-step explanation:
The centre is located at the midpoint of the diameter.
Using the midpoint formula , then
centre = [tex]\frac{-10+8}{2}[/tex], [tex]\frac{-5+4}{2}[/tex] ) = ( [tex]\frac{-2}{2}[/tex], [tex]\frac{-1}{2}[/tex] ) = (- 1, - [tex]\frac{1}{2}[/tex] )
PLEASE HELP ASAPPPPPP!!!!!!!!!!!!
Answer:
324
Step-by-step explanation:
divide 752 by 2 to get 376
then subtract 52 from 376 to get 324
Please help fast
The graph below shows a company's profit f(x), in dollars, depending on the price of goods x, in dollars, being sold by the
company:
Part A: What do the x-intercepts and maximum value of the graph represent?
prefent? ?
Part B: What are the intervals where the function is increasing and decreasing, and what do they represent about the sale and
profit?
Part C: What is an approximate average rate of change of the graph from x = 1 to x = 3, and what does this rate represent?
Please help! In the diagram below, lines l and k are parallel.
What is the measure, in degrees, of ∠ABC ?
Answer:
50
Step-by-step explanation:
x+95 = 4x-10 ( alternate angles)
or, 4x -x = 95+10
or, 3x = 105
x= 35
x+95 = 35+95 = 130
130 + ABC = 180 ( linear pair)
or, ABC = 180-130= 50
What is the perimeter of the composite figure?
Enter your answer in the box.
perimeter = yd
Answer:
what
Step-by-step explanation:
for your answer of this question
perimeter =sum of all side.
sorry I am unable to find perimeter without figure.
pls help no wrong answers pls
Answer:
a, b, e
Step-by-step explanation:
It is proportional since it goes at the same rate on the x and y
It has a rate of 8.5 since 17/2=8.5
at the rate of 8.5 y per one x then 4 8.5's would make 34
if B is the midpoint of AC, and AB = 12 cm. How long is segment BC? A 12 cm B
Answer:
6
Step-by-step explanation:
because if B is the mid point of AC And ab is 12 cm If we divide 12 by 2 it'll be 6..but I'm not sure sorry
What should be true in order for a scatter plot to show that a linear fit may be appropriate for a data set?
O The points should form an upward curve.
O The points should be scattered randomly.
O The points should appear to lie generally along a line.
O The points should form one line above the x-axis and another below it.
On a scatter plot, the points are randomly placed around the graph. The correct option is B.
What is a scatter plot?A scatter plot is a type of plot or mathematical diagram using Cartesian coordinates to display values for typically two variables for a set of data. If the points are coded, one additional variable can be displayed.
A scatter (XY) plot is a vertical data visualization method for displaying the relationship between two sets of data. It is a graphical display of data that consists of a collection of points plotted in a two- or three-dimensional plane.
The locations of the points in a scatter plot are chosen at random. The best choice is B.
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is 1 23/36 the same thing as 263/144 ? ill give brainiest :)
Answer:
no
Step-by-step explanation:
[tex]1\frac{2}{3}= 1.64\\263/144= 1.83[/tex]