Answer: [tex]P=795(1.84)^n[/tex]
Step-by-step explanation:
Given
Initial population was [tex]795[/tex] people
By 2020, it becomes [tex]1262[/tex] people
Suppose the population follows the trend [tex]P=P_oa^{n}[/tex]
where, [tex]n[/tex] is the number of years after 2014
For year 2020 it is 6. Insert the values
[tex]\Rightarrow 1262=795a^{6}\\\\\Rightarrow 1.587=a^{6}\\\\\text{Taking log both sides}\\\\\Rightarrow \log (1.587)=6\log (a)\\\Rightarrow \log (a)=0.2645\\\\\Rightarrow a=10^{0.2645}\\\Rightarrow a=1.84[/tex]
Thus, the exponential population trend is [tex]P=795(1.84)^n[/tex]
Math III WSD CRC QT 1.25 CR
Which expression illustrates the associative property of addition?
O (3 + 19) – 12 = (3 + 12) – 19
3+ (19 - 12) = 3 + (19 + 12)
(3 + 19) - 12 = 3+ (19 - 12)
3+ (19-12) = 3 - (19 + 12)
Which expression illustrates the associative property to addition?
Answer:
5ff5yvy hh h
Step-by-step explanation:
ctvtvh j h h h j
Help plzzz plzzz asappp!!!!
Answer:
α = 27.9794744° ≈ 28.0 m (nearest tenth)
Step-by-step explanation:
Step 1:
Opposite (O) = 42.5 (the side opposite to the reference angle, α)
Adjacent (A) = 80
Hypotenuse (H) = the longest side opposite to the right angle
2. We are given the adjacent (A) and opposite (O) lengths, we would use TOA. Which is:
Tan α = Opp/Adj
Plug in the values
Tan α = 42.5/80
3. Make α stand alone
α = [tex] tan^{-1}(\frac{42.5}{80}) [/tex]
4. α = 27.9794744° ≈ 28.0 m (nearest tenth)
The function h is defined by h (x) = 3x2 + 7.
Find h(5x).
h (5x) = ?
Answer:
h(5x) = 75x² + 7
Step-by-step explanation:
h(x) = 3x² + 7
h(5x) = 3(5x)² + 7
h(5x) = 3(25x²) + 7
h(5x) = 75x² + 7
[tex]h(5x) = 75x^2 + 7[/tex]
To find h(5x), you simply need to substitute 5x in place of x in the function [tex]h(x) = 3x^2 + 7[/tex] and then simplify the expression.
[tex]h(x) = 3x^2 + 7[/tex]
Now, replace x with [tex]5x: h(5x) = 3(5x)^2 + 7[/tex]
Simplify: [tex]h(5x) = 3(25x^2) + 7[/tex]
Now, calculate [tex]3 * 25: h(5x) = 75x^2 + 7[/tex]
So, [tex]h(5x) = 75x^2 + 7[/tex]
To know more about substitute:
https://brainly.com/question/29383142
#SPJ2
i 6 = solve plz........
Hallar la ecuación general de la recta que pasa por el punto ( -2 , 3 ) y es paralela a esta recta -3y+2x=1.
A.
-2x-3y-13=0
B.
2x+3y-13=0
C.
-2x+3y+13=0
D.
-2x+3y-13=0
Help pls 20 pts math
Answer:
point a
Step-by-step explanation:
start from the axis go up 3 to the left one and point a is five units below point g
Answer:
Point B is 5 units from point G.
Step-by-step explanation:
The ordered pair (3,-1) is 4 units down from point D.
And point B is 5 units to the left of point G.
Keller performed the work below to express the polynomial in factored form:
r(x) = x4 – 8x2 – 9
r(x) = (x2 + 1)(x2 – 9)
(x) = (x + 1)(x – 1)(x + 3)(x – 3)
Explain the error he made and complete the factorization correctly.
Answer:
He made the following mistake, he assumed that polynomial [tex](x^{2}+1) = (x^{2}-1)[/tex], having for granted that [tex]x^{2}+1[/tex] has two real roots, instead of two complex roots.
Step-by-step explanation:
He made the following mistake, he assumed that polynomial [tex](x^{2}+1) = (x^{2}-1)[/tex], having for granted that [tex]x^{2}+1[/tex] has two real roots, instead of two complex roots. The true factorized form of the fourth grade polynomial is:
[tex]r(x) = (x^{2}+1)\cdot (x^{2}-9)[/tex]
[tex]r(x) = (x- i)\cdot (x+i)\cdot (x+3)\cdot (x-3)[/tex]
The initial temperature of a solution was 16°C. The temperature dropped 3°C every minute. What was the temperature of the water after 15 minutes in °C?
Answer:
1 degree c
Step-by-step explanation:
plzx solve it with steps....
how many terms of the A P -6,11/2,-5......are needed to give the sum -25??
plzx give me all the steps....!!
I think the second number is supposed to be negative, -11/2 = -5.5, because otherwise the sequence is not arithmetic.
The n-th term of the sequence, starting with n = 1, is then
-6 + 0.5 (n - 1) = 0.5n - 6.5
and we want to find the number N such that
[tex]\displaystyle\sum_{n=1}^N(0.5n-6.5)=-25[/tex]
We have
[tex]\displaystyle\sum_{n=1}^N(0.5n-6.5) = 0.5\sum_{n=1}^Nn-6.5\sum_{n=1}^N1\\ = 0.5\times\frac{N(N+1)}2 - 6.5N \\= 0.25N^2-6.25N = -25[/tex]
Solve for N :
0.25 N ² - 6.25N + 25 = 0
N ² - 25N + 100 = 0
(N - 20) (N - 5) = 0
N = 20 or N = 5
Convert log_8 1=0 into an exponential equation
o 1^0=8
O 0^8=1
o '8^0=1
o '8^=8
Given:
The logarithmic equation is:
[tex]\log_81=0[/tex]
To find:
The exponential equation for the given logarithmic equation.
Solution:
We have,
[tex]\log_81=0[/tex]
It can be rewritten as:
[tex]8^{\log_81}=8^{0}[/tex]
Using [tex]a^{\log_ax}=x[/tex], we get
[tex]1=8^0[/tex]
[tex]8^0=1[/tex]
Therefore, the correct option is C.
2124/4=?
(PLEASE SHOW STEPS)
Answer:
531
Step-by-step explanation:
2124 = 4% × Y
Y = 2124 × 100/4
Y = 2124 × 100 ÷ 4
Y = 53100
In one area, the lowest angle of elevation of the sun in winter is 20 degrees. Find the distance x that a plant needing full sun can be placed from a fence that is 10.5 feet high. Round your answer to the tenths place when necessary.
Answer:
11.1 feet
Step-by-step explanation:
From the solution triangle attached, the required distance is represented as x ; the value of x can be obtained using trigonometry ;
Cosθ = opposite / Adjacent
Cos 20 = 10.5 / x
x * Cos 20 = 10.5
x = 10.5 / cos 20
x = 11.174 feets
can someone help me with this question
Answer:
What does the question mean can u explain me after that I will help u out in question
Using the image above, which of the following are opposite rays?
Select one:
LQ and PQ
LP and QP
QP and PL
PL and PQ
Answer:
The answer is LP and QP, and PL and PQ.
Step-by-step explanation:
Do you want to know from where I got the answer?
I got this answer from an app called Gauthmath where I found the solution for it direct from the tutor, which is right in most cases. You can check the app at Play Store and App Store.
Hope this helps.
Could someone please help and explain how to do this
Answer:
Step-by-step explanation:
just remember that [tex]\sqrt{x} = x^{1/2} ....... \sqrt[3]{x} = x^{1/3} \\also that (x^{a})^{b} = x^{a*b}[/tex]
1) x^3 = x^ (3/4) ===> FALSE
2) x^3/4 = x^3/4 ===> TRUE
3) x^3/4 = x^3/4 ===> TRUE
4) x^(4/3) = x^(4/3) ===> TRUE
Answer:1) x^3 = x^ (3/4) ===> FALSE
2) x^3/4 = x^3/4 ===> TRUE
3) x^3/4 = x^3/4 ===> TRUE
4) x^(4/3) = x^(4/3) ===> TRUE
Step-by-step explanation:
What is the intermediate step in the form (x + a)2 = b as a result of completing the
square for the following equation?
5x2 – 168 = -60x + 12
Answer:
5x2 – 168 = -60x + 12
5x*2 – 156 = -60x
-55x*2=156
55x=-78
x=-1.41818181818
also know as 18/7 or 1 4/7
Answer:
[tex](x+6)^{2}[/tex] = 51
Step-by-step explanation:
5x2 – 168 = -60x + 12
5x2 + 60 x – 180 = 0
[tex]x^{2}[/tex] + 12 x – 15 = 0
[tex]x^{2}[/tex] + 12 x = 15
+ 36 + 36
[tex]x^{2}[/tex] + 12 x + 36 = 51
[tex](x+6)^{2}[/tex] = 51
[tex]\sqrt{(x+6)^{2} }[/tex] = [tex]\sqrt{51}[/tex]
x + 6 = [tex]\sqrt{51}[/tex]
x = -6 ± [tex]\sqrt{51}[/tex]
Triangles J K L and X Y Z are shown. The length of side J is 3, the length of side K is 6, and the length of side L is 4. The length of side X is 4, the length of side Y is 4, and the length of side Z is 5.
Classify each of the triangles as acute, obtuse, or right.
Triangle JKL is
triangle.
Triangle XYZ is
triangle.
Answer:
The answer is below
Step-by-step explanation:
A triangle is a polygon with three sides and three angles. Types of triangles are acute, scalene, obtuse, equilateral, isosceles and right angled triangle.
For a right angled triangle, the square of the longest side (hypotenuse) is equal to the sum of the square of the remaining two sides.
For an obtuse triangle, the square of the longest side is greater than the sum of the square of the remaining two sides.
For an acute triangle, the square of the longest side is less than the sum of the square of the remaining two sides.
In triangle JKL:
J² + L² = 3² + 4² = 25
K² = 6² = 36 > 25 (J² + L²)
Hence triangle JKL is an obtuse triangle
In triangle XYZ:
X² + Y² = 4² + 4² = 32
Z² = 5² = 25 < 32 (X² + Y²)
Hence triangle XYZ is an acute triangle.
Answer:
obtuse & acute
Step-by-step explanation:
$500 is shared in ration 2:3 between two girls how much money did each girl receive workout please step by step
Answer:
100:350 simplified: [tex]\frac{2}{7}[/tex]
Step-by-step explanation
A ratio of 2:3 means that for every item of A, we can expect of item B. Therefore, our total group is 2+3=5.
Calculate expected number of item A:
[tex]\frac{2x500}{5}[/tex]
Expected number of item A: [tex]\frac{1000}{5}[/tex]
This fraction can be reduced by 5 giving you:
Expected number of item A: 200
Calculate expected number of item B:
[tex]\frac{3x500}{5}[/tex]
Expected number of item B: [tex]\frac{1500}{5}[/tex]
This fraction can be reduced by 5 giving you:
Expected number of item B: 300
Given the function f(x) = 0.5|x – 4| – 3, for what values of x is f(x) = 7?
x = –24, x = 16
x = –16, x = 24
x = –1, x = 9
x = 1, x = –9
Answer:
x = - 16, x = 24
Step-by-step explanation:
Given f(x) = 7 then equate f(x) to 7
0.5 | x - 4 | - 3 = 7 ( add 3 to both sides )
0.5 | x - 4 | = 10 ( divide both sides by 0.5 )
| x - 4 | = 20
The expression inside the absolute value bars can be positive or negative, so
x - 4 = 20 ( add 4 to both sides )
x = 24
OR
- (x - 4) = 20
- x + 4 = 20 ( subtract 4 from both sides )
- x = 16 ( multiply both sides by - 1 )
x = - 16
Answer:
The Answer is B
Step-by-step explanation:
Your Welcome
i’m losing my mind over this question :,) help asap would be amazing
find the length of c.
- 12sqrt3
- 16sqrt3
- 12sqrt6
- 16sqrt6
Answer:
I think it's either C or A
Please help I’ll give brainliest
Answer:
[tex]3ft^2[/tex]
Step-by-step explanation:
SA = [tex]6a^{2}[/tex]
SA = [tex]6(3)^2[/tex] Solve for the exponent first
SA = 6(9) Multiply
SA = 54 square feet
11) Write the explicit formula
for the sequence below and
use it to find the 47th term:
-3, 5, 13, 21,...
Answer:
365
Step-by-step explanation:
tn = t1 + (n - 1)(d)
t(47) = -3 + (47 - 1)(8)
t(47) = -3 + (46)(8)
t(47) = -3 + 368
t(47) = 365
c) Make k the subject of the formula t = ak/ 20
Answer:
k=20t/a
Step-by-step explanation:
20t=ak
20t/a=k
k=20t/a
what are the domain and range of the function on the graph?
Answer:
The domain: All real numbers.
The range: y>0
Step-by-step explanation:
Domain means all possible x values, and by looking at the graph it covers all real numbers.
Range means all possible y values, and since the x axis is a horizontal asyntope, the graph will never touch the x axis, which is why the range is y>0.
Write the complement of (90° - a)
Answer:
The complement is ‘a’
Step-by-step explanation:
Mathematically, when two angles are complementary, or said to be a complement of each other, when added, they equal 90 degrees
So, by subtracting the above from 90 degrees, we have its complement
So, we have this as;
90 - (90-a)
= 90 - 90 + a = a
PLEASE HELP MEEE I NEED HELP
Answer:
how do I do another question
Answer:
6 seconds
Step-by-step explanation:
Start by assigning x to value you are trying to find - in this case, the number of seconds until Luigi catches up with Mario.
After x seconds, the distance Luigi has traveled will be the same as the distance Mario has traveled plus 90, since Mario is 90 meters ahead of Luigi.
So our equation is 50x = 35x + 90
Subtracting 35x from both sides: 15x = 90
Dividing both sides by 15: x = 6
So Luigi will catch up with Mario in 6 seconds.
what is the value of x in a circle
Answer:
30°
Step-by-step explanation:
x = 180° -60°-90° = 30°
Please help I’ll give brainliest
Which is equivalent to 3V8^1/4x
BROO SM PLS HELP
Answer:
= 24 3/4x
Step-by-step explanation:
3* 8 1/4x
Here 8 1/4 is a mixed fraction.
Convert it to improper fraction
8 1/4 = 33/4
So, 3*33/4 x
99/4 x
= 24 3/4x
That is
Hope this will helpful.
gimmie brainlist :)
The sum of the measures of the angles of a quadrilateral is 360 degress. Quadrilateral JKLM has one right angle. Use the angles relationships and measure given below to find the measure of angle k
Answer:
Measure Of Angle K is 82*
Step-by-step explanation:
According To Question, We Have Given
A Quadrilateral JKLM, We Know Sum Of All The Angles Of Quadrilateral Is 360* .
Thus
∠JKL=90*
∠KLM= 180* - 110* = 70* ( Find Diagram In Attachment )
∠MJK=118* (Alternative Opposite Angle)
Now We Have To Find The Value Of ∠LKJ.
∠K = 360* - (∠MJK+∠KLM+JKL)
∠K = 360* - (118* + 70* + 90*)
∠K = 360* - 278*
∠K = 82*
(Diagram, Please Find In Attachment)