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.
Learn more about Exponential growth rate, click;
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what is the solution to the system of equations x-y=5 and 3x+7y=-5
Answer:
Step-by-step explanation:
3(x-y)-3x-7y=3(5)-(-5)
3x-3y-3x-7y=15+5
-10y=20
y=-2, since x-y=5
x-(-2)=5
x+2=5
x=3
So the solution is the point (3,-2)
Combine the like terms to create an equivalent expression. 7n + 4n
Answer:
11n
Step-by-step explanation:
10=0.5f
What’s the answer to “f”?
Answer: 20
Step-by-step explanation: to find f, you divide 10 by 0.5 to see what’s left. When you divide it you get 20. To check your work multiply 0.5 by 20 and you’ll see that it equals 10.
Sally invests £8000 in a savings account.
The account pays 2.8% compound interest per year.
Work out the value of her investment after 4 years.
Give your answer to the nearest penny.
Answer:
£8934.34
Step-by-step explanation:
[tex]8000 * 1.028^4 = 8934.34[/tex]
rounding to 2dp
if trunctuated at 2dp however, 8934.33
the number is multiplied by 1.028 to the power of four as you go through the equation four times, so it would be the same as
x * n * n * n * n, where it would simplify to x * n^4
Can y’all do 5-6 please.I have this whole thing due at 12:00 lol.
Find the value of x. Round to the nearest 10th. Plzzz help!!!
Answer:
x = 7.15
Step-by-step explanation:
Taking 33 as the reference angle,
hypotenuse = x
base = 6
Cos 33 = base/hypotenuse
Cos 33 = 6 / x
x = 6/ cos 33
x = 7.15
A soccer field is a rectangle 90 meters wide and 120 meters long. The coach asks the players to run from one corner to the corner diagonally across the field. How far do the players run?
Answer:
150 meters
Step-by-step explanation:
Answer:
150 metresStep-by-step explanation:
We can imagine the rectangle, when cut diagonally it forms a Right angled Triangle
Using this we can find the diagonal i.e hypotenuse.
From the question we know that,
Length = 120 metres
Width = 90 metres
So we can find the diagonal by keeping it as x using the pythogorean theorem.
[tex] {120}^{2} + {90}^{2} = {x}^{2} \\ 14400 + 8100 = {x}^{2} \\ 22500 = {x}^{2} \\ x = \sqrt{22500} \\ x = 150[/tex]
find 5 rational numbers between 1 and 2
Answer:
Five rational numbers between 1 and 2 are 11/10, 12/10, 13/10, 14/10, and 15/10.
Answer:
Five rational numbers between 1 and 2 are 11/10, 12/10, 13/10, 14/10, and 15/10.
Step-by-step explanation:
Hope this helps!
What is the slope of the line?
-3/2
slope = rise/run
We can use the two points to calculate rise (y value change) and run (x value change)
slope = (-6)/4 = -3/2
What is the day after the day after tomorrow if the day before the day before yesterday was Friday ?
Answer:
Wednesday
Step-by-step explanation:
Friday is the day before the day before yesterday
Saturday is the day before yesterday
Sunday is yesterday
Monday is today
Tuesday is tomorrow
Wednesday is the day after tomorrow
Answer:
i cant seem to find ur anwser it seems confusing
Step-by-step explanation:
it is confusing
HELP IT'S DUE IN 10 MINUTES
Noelle rode her bike 5/10 of a kilometer to the library, and then another 22/100 of a kilometer to her friend's house. How far did Noelle ride her bike in all?
A. 27/110
B. 7/10
C. 72/100
D. 225/100
Answer:
C. 72/100
Step-by-step explanation:
I need help with this
Answer:
13.5
Step-by-step explanation:
4+5 = 9.
9/2 = 4.5
4.5 * 3 = 13.5
Which equation matches the hanger?
y = 6.3
3y = 6.3
y/3 = 6.3
y + 3 = 6.3
Answer:
B 3y=6.3
Step-by-step explanation:
On the hangers left side there are 3 Y's so we would put that together as 3y
On the hangers right side there is a rectangle with a whole of 6.3
The 3y would equal with the 6.3
Question 1: How much fabric is needed for a round table cloth?
Assume the radius is 10 inches. How much fabric would you need?
Answer:
50 yards because of the roundness of the table
What is the perimeter of ABCD?
14 units
38 units
44 units
49 units
ANSWER: C) 44 units
PLEASE HELP !!! ILL GIVE BRAINLESS
Answer:
a. ∠G = 180 - (90 + 32)
b. ∠G = 58°
c. ∠J = 180 - 58°
d. ∠J = 122°
Step-by-step explanation:
Angles are added to result in 180°
when the line is straight; thus:
a.
∠G = 180 - (90 + 32)
b.
∠G = 180 - 122
∠G = 58°
c.
∠J = 180 - 58°
d.
∠J = 122°
_____________________
#IndonesianPride - kexcvi
in the figure below, lines p and q are parallel. What is the value of x?
Answer:
x = 79
Step-by-step explanation:
180 - 101 = x
x = 79
Answer:
79 degrees
Step-by-step explanation:
Since the lines are parallel, x is equal to r which is equal to 79 degrees.
Do question 2 please and fill in the blanks
Answer:
v
w
x
y
z
Step-by-step explanation:
n..................
In ΔBCD, the measure of ∠D=90°, the measure of ∠B=71°, and DB = 67 feet. Find the length of BC to the nearest tenth of a foot.
Answer:
in triangle BCD
relationship between base and hypotenuse is given by cos angle
cos 71=b/h
cos71=BD/BC
cos71=67/x
x=67/cos71=205.8ft.
the length of BC to the nearest tenth of a foot is 206ft.
Maddie and Josh are trying to clean the roof of their house. They place the base of the ladder 3 feet away from the base of the house. Their ladder is 27 feet long. What angle does the ladder make with the ground?
Answer:
83.6 degrees
Step-by-step explanation:
Identify the a, b and c terms from the equation 3x^2+5x-2.
Answer:
a - 3
b - 5
c - -2
Step-by-step explanation:
The quadradic formula is:
[tex]x=\frac{-b\pm\sqrt{b^2-4ac} }{2a}[/tex]
When:
[tex]ax^2+bx+c[/tex]
This is the standard form of a quadradic equation.
We have the equation:
[tex]3x^2+5x-2\\\\[/tex]
Recall the standard form.
'3' is in a's place, '5' is in b's place, and '-2' is in c's place.
Hope this helps you.
What is categorical data
Answer:
Categorical variables represent types of data which may be divided into groups. It can not measure.
Step-by-step explanation:
(1.3x + 2.4) + (-6.1x – 3.2)
Step-by-step explanation:
In simplify form: 1.3x+2.4-6.1-3.2 = -4.8x-0.8
or factor the expression: =-4/5×(6x+1) Alternate form: -0.8(6x+1). I hope this helps.
20 Points!!!! PLEASE help!! Math!! Due soon!!
Answer:
the first one is true, the third one is true, the fourth one is true, the fifth one is true
Step-by-step explanation:
the second one is false
Dion ran 3.75 kilometers each day to prepare for a race. What was the number of kilometers that Dion ran during 28 days? is this multiply
Answer:
Yes this is multiplication
Answer is: 105km
Step-by-step explanation:
multiply 3.75 by 28 to find the total number he ran
3.75•28= 105km
hope this helps chu <3
Write the equation of a line that has a slope of 3 and passes through the point (5, 7).
O y = 3x + 8
O y = 5x + 7
O y = 3x - 8
O y = 7x + 5
Answer:
y = 3x - 8
Step-by-step explanation:
All the options are written in slope-intercept ( [tex]y = mx + b[/tex]) form. So, what we can do with the given information is write the equation in point-slope form first, then convert it to slope-intercept form.
1) First, use the point-slope formula [tex]y-y_1 = m (x-x_1)[/tex] to find the point-slope equation of the line. Substitute [tex]m[/tex], [tex]x_1[/tex], and [tex]y_1[/tex] for real values.
Since [tex]m[/tex] represents the slope, substitute 3 in its place. Since [tex]x_1[/tex] and [tex]y_1[/tex] represent the x and y values of one point the line intersects, substitute the x and y values of (5,7) into the appropriate places in the formula as well. This gives the following equation of the line in point-slope form:
[tex]y-7 = 3(x-5)[/tex]
2) Now, isolate y in the above equation to find its slope-intercept form.
[tex]y-7=3(x-5)\\y-7 = 3x-15\\y = 3x -8[/tex]
Thus, the answer would be the third option as it matches the result we received.
b for which -x^2+8x+20=b will have no real roots
Answer:
Step-by-step explanation:
-x² + 8x + 20 = b
-x² + 8x + 20 - b = 0
a = -1 ; b = 8 ; c = 20 - b
There is no real roots.
So, b² - 4ac < 0
Plug in a, b and c values
8²- 4(-1)(20-b) < 0
When we multiply (-1) and (-4), we will get 4
64 + 4(20 - b) < 0
64 + 4*20 - 4b < 0
64 + 80 - 4b < 0
144 - 4b < 0
Subtract 144 from both sides
-4b < -144
Divide both side by -4 and when we are dividing by (-4), < will change to >
b > -144/-4
b > 36
So, when value of b is greater than 36, the equation will have no real roots.
What is the volume of a hemisphere with a diameter of 37.6 m, rounded to the nearest tenth of a cubic meter?
Answer:
13916.6m^3
Step-by-step explanation:
Is Figure B a scale copy of Figure A?
8
LA
13
2.
1
6
Figure A
3
Figure B
Charlie grew 3/4 of an inch on her 7th birthday. Her twin sister Lucy grew 1/2 of an inch. How much more did charlie grow more than lucy?
Answer: 1/4
Step-by-step explanation: 3/4-1/2= 1/4