Answers
The function [tex]y=0.3^x[/tex] represents exponential growth with the initial value equal to 1, the decay factor equal to 0.3, and the rate equal to 0.7.
Population Growth Equation
The formula for the Population Growth Equation is:
[tex]P_f=P_o*(1+\frac{R}{100}) ^t[/tex]
Pf= future population
Po=initial population
r=growth rate
t= time (years)
growth or decay factor = (1 ±r)
When 1+R > 1, the equation represents growth, while 1+R < 1 the equation represents decay.
The question gives:
[tex]y=0.3^x[/tex], then
Pf=y
Po= 1
[tex](1+\frac{R}{100}) =0.3[/tex] , thus
[tex](100+R}) =30\\ \\ R=-100+30\\ \\ R=-70[/tex]
r= -70%= -0.7
decay factor= (1-0.7)=0.3
Therefore,
1+R will be = 1+(-0.7)=1 - 0.7 =0.3
When 1+R >1, the function represents exponential growth.
Read more about the exponential function here:
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Related Questions
for a area and perimeter math question what is 2/3x2/3????????
Answers
Answer:
4/9
Step-by-step explanation:
2/3 × 2/3 is 4/9
2×2 is 4 and 3×3 is 9
The lateral area of a cone is 9.81 in. The radius is 1.4 in. Find the slant height.
Answers
Answer:
As Per Provided Information
Lateral area of cone is 9.81 in Radius of cone is 1.4 inWe have been asked to determine the slant height of the cone .
Formula used to calculate the lateral area of a cone is
[tex] \boxed{\bf \: \purple{ Lateral \: Area _{(Cone)} \: = \pi\:rl}}[/tex]
here
l denote slant height
r denote radius
Substituting the value we obtain
[tex] \longrightarrow\tt \: 9.81 = 3.14 \times 1.4 \times l \\ \\ \\ \longrightarrow\tt \:9.81 = 4.396 \times l \\ \\ \\ \longrightarrow\tt \: \cfrac{9.81}{4.396} = l \\ \\ \\ \longrightarrow\tt \: \: l \: = \cfrac{9.81}{4.396} \\ \\ \\ \longrightarrow\tt \: \: l \: = \cancel\cfrac{9.81}{4.396} \\ \\ \\ \longrightarrow\tt \: \: l \: = 2.23 \:inch \: \: (approx)[/tex]
Therefore,
Slant height of the cone is 2.23 in .Please answer the 4 questions.
Answers
first slide:
a. not statistical
b. statistical
c. statistical
second slide:
a. yes
b.no
c. yes
d. no
third slide (drop-down question)
a. statistical
b. vary
fourth slide:
the last question, how many miles does each member of the biking club...
what is (1/4)^2x+3=2^5x+4
find the value of x?
Answers
Answer:
[tex] x = - \frac{10}{9} [/tex]
The inverse of the logarithmic function f(x) = log0.5x is f−1(x) = 0.5x. what values of a, b, and c complete the table for the inverse function?
Answers
The value of a for the inverse function is 2, the value of b for the inverse function is 1, and the value of c for the inverse function is 0.25.
What is a function?The function is an expression, rule, or law that defines the relationship between one variable to another variable. Functions are ubiquitous in mathematics and are essential for formulating physical relationships.
The inverse of the logarithmic function [tex]f(x) = \log_{0.5} x[/tex] is [tex]f^{-1}(x) = 0.5^x[/tex]
For x = −1 in the inverse function, then the value of a will be
[tex]f^{-1}(x) = 0.5^{-1}\\\\f^{-1}(x) = 2[/tex]
The value of a is 2.
For x = 0 in the inverse function, then the value of b will be
[tex]f^{-1}(x) = 0.5^{0}\\\\f^{-1}(x) =1[/tex]
The value of b is 1.
For x = 2 in the inverse function, then the value of c will be
[tex]f^{-1}(x) = 0.5^{2}\\\\f^{-1}(x) = 0.25[/tex]
The value of c is 2.
More about the function link is given below.
https://brainly.com/question/5245372
Answer:
a.2
b.1
c.0.25
Second part: Graph B (2nd) one
Step-by-step explanation:
You are working for the company Trinity Mathematical Concepts are
asked for create the following logo for the company. If each vertices of the triangle are the centers of the circles, what is the area of the shaded region?
Your answer will be in terms of "x", where "x" is the radius of the circles.
Answers
Answer:
[tex](2\pi -3\sqrt{3})x^2/4[/tex]Step-by-step explanation:
The sides of the triangle in the middle are equal to x so tis is equilateral triangle.
Its interior angle is 60°.
Each shaded part is the area of 60° segment of circle with the radius x.
The area of each segment is the difference between 60° sector and the area of triangle.
[tex]A_{segment}=A_{sector}-A_{triangle}[/tex]Area of sector
[tex]A_{sector} = (60/360)*\pi r^2=(1/6)\pi x^2[/tex]Area of triangle
[tex]A_{triangle}=(\sqrt{3}/4)a^2= (\sqrt{3}/4)x^2[/tex]The shaded area is
[tex]A = 3((1/6)\pi x^2 - (\sqrt{3} /4)x^2)=((1/2)\pi -3\sqrt{3} /4)x^2=(2\pi -3\sqrt{3})x^2/4[/tex]Sam filled 4 large bottles and 6 small bottles with 6.8 litres of orange juice . Each large bottle could hold 0.5 litres more than each small bottle. How much orange juice can a small bottle hold?
Answers
Answer:
0.48 litres
Step-by-step explanation:
let the large bottles be x and small bottles be y
4x + 6y = 6.8
x = 0.5 + y
so substituting x in equation 1:
4(0.5 + y) + 6y = 6.8
2 + 4y + 6y = 6.8
10y = 4.8
y = 0.48
Which of the following functions best models the data represented by the scatterplot shown below
y=25x+20
y=160x−100
y=8x2+10
y=2x+12
Answers
Answer:
I am pretty sure the answer is going to be y=25x+20 :)
Have an amazing day!!
Please rate and mark brainliest!!
The correct function for the given data representation will be,
y = 8x² + 10
What is Function?
A relation between a set of inputs having one output each is called a function.
Data representation is given by the scatterplot in the graph.
Now,
Take a function y = 8x² + 10
Then, Check each point on the x - axis for the value of y - axis.
So. Substitute x = 1 in the function we get;
y = 8 × 1 + 10
y = 8 + 10
y = 18
So, Point is (1, 18)
For, x = 3
y = 8 × 3² + 10
y = 72 +10
y = 82
So, Point is (3, 82)
For, x = 5
y = 8 × 5² + 20
y = 200 + 20
y = 220
So, Point is (5, 220)
Thus, All points are satisfy the given scatterplot graph.
So, The correct function for the given data representation will be,
y = 8x² + 10
Learn more about the function visit:
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Last year. Samara practiced playing the violin for 26 hours the piano for 35 hours, the flute for 41 hours, and the drums for 18 hours How many days in total did she practice playing her musical instruments? Explain Your answer.
Answers
Answer:
5 days
Step-by-step explanation:
26+35+41+ 18 = 120
120/24 = 5
Which property of addition is shown below?
If x = a + bi and y = –a – bi, x + y = 0.
commutative property
identity property
associative property
inverse property
Answers
Answer: D
Step-by-step explanation:
4
Required
Mr. Sanchez's class sold fruit pies for $1.73 each and Mr. Kelly's class sold bottles of fruit juice for $1.44 each.
Together, the classes sold 83 items and earned $130.83 for their school. Write and solve a system of equations
that models this prolem. Show all your work!
Answers
The system of equations of the number of bottles in both classes has two distinct equations
Mr. Sanchez's class sold 39 bottles, while Mr. Kelly's class sold 44 bottles
How to solve the system of equations?
The given parameters are:
Mr. Sanchez = $1.73
Mr. Kelly = $1.44
Represent the number of bottles in both classes with x and y,
So, we have the following equations
1.73x + 1.44y = 130.83
x + y = 83
Next, we plot the graphs of the equations
From the graph (see attachment), we have:
(x,y) = (39,44)
Hence, Mr. Sanchez's class sold 39 bottles, while Mr. Kelly's class sold 44 bottles
Read more about system of equations at:
https://brainly.com/question/14323743
Descriptive Measures Instructions: Use the following data set to find the sample statistics for the following data set. (Round answers to the nearest hundredth, if necessary.
{51,48,42,43,48,48,46,15,29,45,47,55,46,35,47,48,54,26,53,42}
Find n
Answers
Answer:
(1) N or n = 20
(2) = 43.4
(3) σ = 9.78 and s = 10.04.
Step-by-step explanation:
If the poh of vinegar is 9.45, what is its [oh− ]? round to the nearest hundredth. × 10n m n =
Answers
The [OH] of vinegar to the nearest hundredth is 2.82 * 10^-5
How to calculate the [OH] of a substance:The sum of the pH and pOH of a substance is 14. Mathematically
[OH−] = Antilog (pOH)
Given the following parameters
[OH−] = Antilog (9.45)
Substitute
[OH−] = 2.82 * 10^-5
Hence the [OH] of vinegar to the nearest hundredth is 2.82 * 10^-5
Learn more on pH and pOH here:https://brainly.com/question/13557815
Answer:
The person above me is incorrect
1st blank is 3.55
2nd blank is -10
Step-by-step explanation:
Look at the image (bottom left corner)
brainliest and 50 points
find the area of the regular polygon.
A) 187.2
B) 887.5
C) 110.4
D) 63
Answers
Answer:
A) 187.2
Step-by-step explanation:
Area of a regular polygon = 1/2(apothem × perimeter)
The perimeter of the triangle can me calculated by multiplying the side length by 3 ( because the polygon shown has 3 sides )
Side length = 20.8 , so perimeter = 3 × 20.8 = 62.4
Now we can find the area
Remember area of a regular polygon = 1/2(apothem × perimeter)
Apothem = 6 and perimeter = 62.4
So area = 1/2(6×62.4)
==> multiply 6 and 62.4
area = 1/2(374.4)
==> multiply 374 and 1/2
area = 187.2
*HIGHER POINTS* Solve for m<A
Answers
Answer:
The answer should be about 114.
Step-by-step explanation:
Of you look at the shape of the other angles. B and D seem to be about 90 and the shape of A is just a little bit bigger than ninety. I started by adding 78, 90, and 90 together which gave me 246. Then I subtracted 246 from 360 which gave me 114. I had estimated the answer to be around 110.
If ABC~ DEF, what is the scale factor of ABC to DEF?
Answers
Answer:
that would be 1/2 because its the only one that could reduce the numbers.
Step-by-step explanation:
hope this helps,
kleann
The scale factor of the triangle ΔABC to ΔDEF will be 1/2. Then the correct option is A.
What is dilation?Dilation is the process of increasing the size of an item without affecting its form. Depending on the scale factor, the object's size can be raised or lowered. There is no effect of dilation on the angle.
The triangle ΔABC is similar to the triangle ΔDEF. Then the ratio of the corresponding sides will be constant. Then the scale factor is calculated as,
SF = 10 / 20
SF = 1 / 2
The scale factor of the triangle ΔABC to ΔDEF will be 1/2. Then the correct option is A.
More about the dilation link is given below.
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What do we do to both sides of this equation to solve?
x+3=5
Question 1 options:
Subtract 3 from both sides
Add 3 to both sides
Multiply both sides by 3
Divide both sides by 3
Answers
Answer:
Subtract 3 from both sides.
Step-by-step explanation:
x + 3 = 5
x = 5 - 3
x = 2
I know I`m late sorry, still wanted to answer
. _ .
Answer:
First option
Step-by-step explanation:
Given the following question:
[tex]x+3=5[/tex]
To find the answer we need to subtract three on both sides, since we are given a positive three ( + 3) instead of a negative three (- 3) If the equation was " x - 3 = 5 " we would then add three on both sides but in this case we have a positive three.
[tex]x+3=5[/tex]
[tex]3-3=0[/tex]
[tex]5-3=2[/tex]
[tex]x=2[/tex]
Which means your answer is the first option or "subtract 3 from both sides."
Hope this helps.
Pls help I don’t know
Answers
Answer:
20 units
Step-by-step explanation:
Count the squares
Answer:
20 units
Step-by-step explanation:
Break up the shape into 5 squares. Each square is 4 units. Multiply 5 by 4, which is 20.
17. Which quotient will be larger? Explain
how you can tell without dividing.
3,444 : 42
4,368 : 42
Answers
Answer:
4,368 / 42
Step-by-step explanation:
I can tell without answering the problems because if you have a larger amount to divide by, it would lead to people having a higher amount. Meanwhile having a smaller amount to divide by.
Sophia, a yoga instructor at Yoga for You, selected random samples of 210 students from a nearby high school and 210 students from a nearby college to compare levels of physical fitness. The mean and standard deviation of the fitness levels of the high school students were 82 and 14 respectively. The mean and standard deviation of the fitness levels of the college students were 86 and 17 respectively. She conducted a two-sided t-test with a resulting t-value of 2. 63. Lf a = 0. 05, what is an appropriate conclusion from this study?
Because the sample means only differ by four, the population means are not significantly different.
Because the second group has a larger standard deviation, their mean fitness score is significantly higher.
Because the second group has a larger standard deviation, the mean fitness score of the first group is significantly higher
Because the p-value is greater than a 0. 05, the mean fitness scores for the two groups of students are not significantly different.
Because the p-value is less than a 0. 05, the mean fitness scores for the two groups of students are significantly different
Answers
Because the p-value is less than 0.05, the mean fitness scores for the two groups of students are significantly different
========================================================
Explanation:
Use a T calculator to find that P(T > 2.63) = 0.00459 approximately when we have 209 degrees of freedom.
Double this to get 2*0.00459 = 0.00918 and this is the approximate p-value
Since the p-value is less than alpha = 0.05, this means we reject the null and conclude that the two population means are significantly different.
find four rational number between -1/7 and 2/7...
Answers
Rational numbers are numbers which can be expressed as a fraction or in decimals. Integers, Whole numbers, Natural numbers are rational.
======================================================
Rational numbers between -1/7 and 2/7 : -
-0.1-0.0500.050.10.150.20.25Make a number line and find the numbers between the two given numbers.
An airplane flies with a constant speed
of 680 miles per hour. How long will it
take to travel a distance of 2720 miles?
Answers
4 hours
T= d/s
= 2720/680
= 4
Hope this helps!
Carl Lewis one United States of America greatest athletes in Track and field,Ran a hundred meters in 10.1 seconds,
at this speed what is his rate in
kilometers per
hour?
Answers
Answer:
35.64 km / hour
Step-by-step explanation:
100m = 10.1s
100/10.1 m per second
3600 seconds in a hour
100/10.1 X 3600 = 35643.56436
= 35.64356436 km per hour
in a town of 120 people,it is know that 40 are teachers,25 are students and 9 are doctors amd the rest are office workers.what is the possibility that he or she is an office workers?
Answers
23/60
hope it helps...!!!!
Raquel has 4 brownies. She wants to give an equal share to each of her friends. How would Raquel share these brownies equally among herself and 5 friends? What is the estimate equation????????
please tell me the estimatie and eqaution asap!!!!
Answers
Answer:
4/5
Step-by-step explanation:
divide brownies by friends
yoooo somebody help me please!!
Answers
Answer:
the answer is 202 square inch
Step-by-step explanation:
Ref. to the diagram I have attached.
First, we can find the area of the square.
Here the side of the square is given 4 inches.
1. So Area of the square= side * side= 4*4= 16 square inches.
Now let's find the area of the smaller rectangle. Now here,
As one side of the square is the same as the breadth of the rectangle, the breadth of the rectangle will be 4 inches, and the length is given 9 inches.
2. So, Area of the smaller rectangle= length* breadth= 9*4= 36 square inches.
Now, lastly, we will find the area of the bigger rectangle:
Here, the length will be 15 inches and the breadth will be 10 inches (as the opposite sides in a rectangle are equal and the values are already given).
3. ∴ Area of bigger rectangle= l*b= 15*10= 150 square inches.
So now,
To find the total area of the figure, we need to add all the areas:
36+ 16+ 150= 202 square in.
ANSWER IS 202 sq. in.
I know it's a bit long and boring to read, but hope it helps!!
PLEASE HELP! PLEASE HELP! I NEED TO GET THIS RIGHT! PLEASE ANSWER FULLY!
Answers
Answer:
what do you need help with
What is the additive inverse of the polynomial –9xy2 + 6x2y – 5x3?
Answers
Answer:
The answer 9xy^2-6x^2y+5x^3
Step-by-step explanation
A square pyramid has a volume of 1024 cm3. If one edge of the square base is 16 cm, find the height.
Answers
Answer:
Step-by-step explanation:
v = 1/3* L * w * h
1024 = 1/3 * 16 * 16 * height
1024 = 85.3333333 * height
divide both sides by 85.3 to isolate height = 12 cm
check your work
1024 = 1/3 * 16 * 16 * 12
1024 = 1024
yes they equal so its correct
Expand and simplify (2x−12)^2. Is this a special product?
Answers
Answer:
Step-by-step explanation:
(2x−12)^2 can be factored into 2^2*(x - 6)^2, which in turn becomes
4(x^2 - 12x + 36). Yes, this is a special product of the form
(a - b)^2 = a^2 - 2ab + b^2.
