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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Mark can buy 15 tea bags for $3. What is the unit rate of price per bag? At that rate, how many tea
bags could he buy for $20?
Answer:
Unit Rate:5 teabags for 1$
teabags for $20: 100
Step-by-step explanation:
make 3/15 a fraction
simplify
multiply 20 times 5
Kim's baby sister weighed 9 pounds when she was born. How many ounces are in 9 pounds?
The average gas mileage (mpg) for vehicles produced by a particular automotive company is 26 mpg, with a standard deviation of 2 mpg. What percentage of the vehicles produced by the automotive company have a gas mileage greater than 24?
Note: Assume that a Normal model is appropriate for the distribution of the gas mileages for the vehicles.
About 68% of the vehicles have a gas mileage greater than 24 mpg.
About 32% of the vehicles have a gas mileage greater than 24 mpg.
About 84% of the vehicles have a gas mileage greater than 24 mpg.
About 16% of the vehicles have a gas mileage greater than 24 mpg.
Answer:
Using the 68-95-99.7 rule, about []% of autos should get more than 33 mpg
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
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
Toby had a package of markers.
After he used 4 of the markers, there were 10 markers left in the package.
Which equation can be used to find the number of markers that were in the package before Toby used the markers?
32 + a > 44; 11, 12, 13
A high jumper starts the bar at 48 inches and raises the bar ½ inch after each jump. How high will the bar be after the seventh jump?
Answer: 51.5 inches
Step-by-step explanation: The high jumper will be making seven jumps, increasing by 1/2 inch each time. In order to calculate how much it will be moved up from the original position we need to multiply 1/2 x 7 jumps = 3.5 inches. In order to calculate how high the bar will now be, we need to add together the original 48 inch height plus the 3.5 inches that it was been raised, so they total is 51.5 inches high.
What is the measure of an angle that is the complement of angle A?
A. 135
B. 5
C. 45
D. None of the above
E. 55
sorry the pic looks bad but can anyone help asap?
Answer:
I'm pretty sure it (a)
Step-by-step explanation:
I learned it as you eat the larger number
plz help giving brainlest
Answer: 17
Step-by-step explanation:
You simply jusr divide the area with the lenght given
Answer:
u=17kilometres
Step-by-step explanation:
area of parllelogram =base×height
289km²=17×u
u=289/17=17km
QUESTION IN THE PHOTO! NO WRONG ANSWERS PLS
Answer:
your answer should be 2
Step-by-step explanation:
hope it helps, have a wonderful day :)
A cuboid has dimensions 8 cm, 5 cm and 14 cm.
8 cm
5 cm
14 cm
Find the volume of the cuboid.
Answer:
54cm
Step-by-step explanation:
8cm + 5cm + 14cm = 27 cm + 27 cm = 54 cm
A pedestal for a statue is made with 405 cubic feet of concrete. What is the area of the base of the pedestal? 6.7 square feet 22.5 square feet 45 square feet 3,645 square feet
Complete Question:
A pedestal for a statue is made with 405 cubic feet of concrete. A rectangular prism with a height of 9 feet.
What is the area of the base of the pedestal?
Answer:
45 square feet
Step-by-step explanation:
Given the following data;
Volume of pedestal = 405 ft³
Height of rectangular prism = 9 ft
To find the area of the base of the pedestal;
Volume of pedestal = base area * height
405 = base area * 9
Base area = 405/9
Base area = 45 square feet.
Therefore, the area of the base of the pedestal is 45 square feet.
Answer:
45 square feet
Step-by-step explanation:
Hellohello, if you able to help me then please do. (:
Answer:
The answer is D.
Sum means addition. So, you would be adding a and b. Remember this; a - b = difference, a * b = product, a ÷ b = quotient, and a + b = sum. Good luck!
Answer:
d) a+b
Step-by-step explanation:
For this question we can think of a and b as different numbers just for the sake of making the question easier. For example "a" could be 2 and "b" could be 3 (a=2 and b=3).
(However, keep in mind that "a" and "b" can be any number and that we don't know their values. But we can assign some values to them in order to solve the question more easily)
So if a=2 and b=3 in our example the notation for their sum would be 2+3. If we just put a for 2 and b for 3 we get a+b, which is the answer
Solve the equation 7= -108 – 3.
Answer:
s=-1
Step-by-step explanation:
Are these shapes congruent??
Answer:
No
Step-by-step explanation:
A rectangle has an area of 40 square units and a perimeter of 26 units. What is the only length and width combo that would
fit these dimensions?
PLEASE HELP WITH THIS BEEN WAITING FOR AN HOUR!!!
Answer:
The 3rd one
Step-by-step explanation:
The 3rd one because a tessellation is (By definition) "an arrangement of shapes closely fitted together, especially of polygons in a repeated pattern without gaps or overlapping." In this case 3rd because they fit with no gaps and no overlapping.
Answer:
the third one sorry couldn't answer here sooner!
Step-by-step explanation:
-Ash
Suppose a vertebrate has a disease that affects its skeleton.
Which sentence best describes a difficulty the vertebrate may have?
A. It would have difficulty interpreting information.
B. It would have difficulty circulating blood.
C. It would have difficulty moving.
D. It would have difficulty breathing.
Answer:
If a vertebrate has a disease that affects it's skeleton, it'll would have difficulty circulating blood because the white blood cells would prob stop when there's a thing like Leukemia and so would the red blood cells :3
btw I love ur connie pfp- :3
Step-by-step explanation:
:3
Valerie is considering various savings options. At Bank 1, she can invest $1,000 in a CD that earns compound interest at an annual rate of 2.4%. At Bank 2, she can invest $1,000 in a savings account that pays 2% simple interest upon withdrawal. How much more money would Valerie earn in 5 years with the CD at Bank 1 than with the savings account at Bank 2?
Answer:
100.00
Step-by-step explanation:
Diana is working on a painting for school. She needs 1 1/5 ounces of yellow paint and 2 1/2 ounces of orange paint. How much less yellow paint does she need than the orange paint?
Answer:
1 3/10
Step-by-step explanation:
We are to determine the difference the paint of yellow and orange paint
The equation we are to solve is
[tex]2\frac{1}{2} - 1\frac{1}{5}[/tex]
The equation can be solved by taking the following steps
Subtract the two whole numbers divide each denominator by the least common multiple of the denominator and multiply the figures by the numerator[tex]1\frac{5 - 2}{10}[/tex] = [tex]1\frac{3}{10}[/tex]
Math riddle here
The sum of all the four numbers is 31.
Only one of number is odd.
The subtraction of the lowest number from the highest number is 7.
If you subtract two of the middle numbers, it equals two.
What four numbers am I thinking of ?
Answer:
15+8+6+2=31
Step-by-step explanation:
highest no. is 15
15-7=8
31-15-8=8
middle number 8
8-6=2
CHECK: 15+8+6+2=31
i don't know if my answer is right haha
i checked online it says the answer is 5,6,8,12
please help, find the area
Answer:
26 units^2
Step-by-step explanation:
You have all the information to find the area of each of the triangles that make up the kite so all you need to do is find the area of each of them and add them all together.
Triangle 1 = 1/2(2 x 7) = 7
Triangle 2 = 1/2(2 x 7) = 7
Triangle 3 = 1/2(2 x 6) = 6
Triangle 4 = 1/2(2 x 6) = 6
Total Area = 26
The area of the kite is 26 units^2
Lowest common factor of 28 and 30
*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆
Answer: 2
Explanation:
I hope this helped!
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here is a list of numbers 21,22,23,24,25,26,27,28,29
Answer:
30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,8,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100
Step-by-step explanation:
100!
please help!!! i have been doing bad in math right now .
Find the value of X. Please help ASAP!! I have no idea how to do this and I have to have it done soon!!
Answer:
[tex]x=\frac{3}{4}=0.75[/tex]
Step-by-step explanation:
From the shape of the quadrilateral, we can assume that it is a parallelogram. In a parallelogram, opposite sides are congruent and thus have the same length.
In this case, we are given that two opposite sides have lengths of [tex]4x+5[/tex] and [tex]8[/tex]. Therefore, since the quantities must be equal, we can write the following equation to solve for [tex]x[/tex]: [tex]4x+5=8[/tex]. Solving for [tex]x[/tex], we get:
[tex]4x+5=8[/tex]
[tex]4x=3[/tex] (Use the Subtraction Property of Equality to subtract [tex]5[/tex] from both sides of the equation, which isolates [tex]x[/tex])
[tex]x=\frac{3}{4} =0.75[/tex] (Use the Division Property of Equality to divide both sides of the equation by [tex]4[/tex] to get rid of [tex]x[/tex]'s coefficient)
Hope this helps!
The tables represent the functions f(x) and g(x).
Which input value produces the same output value for
the two functions?
х
f(x)
Х
g(x)
-13
-3
STO
0 - 444
2
NON
O x=-3
O x= -1
O x=0
O x = 1
-5
-1
3
7
1
3
5
1
2
Answer:
Option (4)
Step-by-step explanation:
Input values are always represented by the x values and output values of a function is represented by f(x).
From the table given,
Values under x column are the input values and values under f(x) or gx) column are the output values.
From both the tables, common output values for the same input value (x = 1) are,
f(1) = 3
g(1) = 3
Therefore, Option (4) is the answer.
The input value that produces the same output value for both functions is: D. x = 1
What is a Function?A function is a relation which has exactly one y-value (output value) that corresponds to each x-value (input value) in the relation.
In the function [tex]f(x)[/tex], the input value (x) 1 produces an output value [tex]f(x)[/tex] of 3. Same applies for the function g(x).
Thus, [tex]f(1) = g(1) = 3[/tex]
Therefore, the input value that produces the same output value for both functions is: D. x = 1
Learn more about a function on:
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