The function N =1053(1.23)^m or 1053(1.23)^m = N is an illustration of an exponential function
The deer on April 1, 2016The function is given as:
N =1053(1.23)^m
On April 1, 2016; the value of m is:
m = 0
So, we have:
N =1053(1.23)^0
N = 1053
Hence, there are 1053 deers on April 1, 2016
The deer on May 1, 2016The function is given as:
N =1053(1.23)^m
On April 1, 2016; the value of m is:
m = 1
So, we have:
N =1053(1.23)^1
N =1295
Hence, there are 1295 deers on May 1, 2016
The monthly growth rateAn exponential growth function is represented as:
y = a(1 + r)^x
Where r represents the growth rate
By comparison; the monthly growth rate (r) is calculated as:
1 + r = 1.23
Subtract 1 from both sides
r = 0.23
Express as percentage
r = 23%
Hence, the monthly growth rate is 23%
The yearly growth rateWe have the monthly growth rate to be 23%
There are 12 months in a year.
So, the yearly growth rate is:
y = 23%^12
Evaluate
y = 0.00022%
Hence, the yearly growth rate is 0.00022%
The weekly growth rateWe have the monthly growth rate to be 23%
There are 4 weeks in a months
So, the weekly growth rate is:
m = 23%^(1/4)
Evaluate
m = 69%
Hence, the weekly growth rate is 69%
Read more about exponential functions at:
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what is the answer to -2-(-2)
Answer:
0
Step-by-step explanation:
-2 + 2 = 0
Hope this helps! Please let me know if you need more help or think my answer is incorrect. Brainliest would be MUCH appreciated. Have a wonderful day!
PLEASE HELP WILL MARK BRAINLIEST THANK YOU
If you roll a dice 500 times how many times do you expect to get a 5?
Answer:
20
Step-by-step explanation:
60%
Smmy pays $2 73 for each gallon of gas, which table best represents the relationship between the number of gallons
purchased, and the amount he pays for gas?
Answer:
Label ELabel E
Step-by-step explanation:
Label ELabel ELabel k
Find the Area in yards.
12 mi
6.9 mi
Answer:
82.8
Step-by-step explanation:
multiply the 2
1 2
6.9
9×2=18
9×1=9
10.8
72.0
____
82.8
Enter the distance, in units, between point A and point B
(Don’t sent me links pls
Answer:
1
Step-by-step explanation:
The distance between A to B is 1 unit
Which point is on the graph of the inverse function g–1(x)?
(–3, 0)
(0, –3)
(2, 3)
(3, 4)
Answer:
A
Step-by-step explanation:
The answer is (-3,0) which is A.
Answer:
A
Step-by-step explanation:
Solve:-
[tex] \frac{x + 4}{x - 4} + \frac{x - 4}{x + 4} = 3 \frac{1}{3} [/tex]
help mmmm
Answer:
[tex] \displaystyle{ \frac{x + 4}{x - 4} + \frac{x - 4}{x + 4} = 3 \frac{1}{3} }[/tex]
[tex]\displaystyle{ \frac{ {(x + 4) }^{2} + {(x - 4)}^{2} }{(x + 4)(x - 4)} = \frac{10}{3} }[/tex]
[tex]\displaystyle{ \frac{ {x}^{2} + 8x + {4}^{2} + {x}^{2} - 8x + {4}^{2} }{ {x}^{2} - {4}^{2} } = \frac{10}{3} }[/tex]
[tex]\displaystyle{ \frac{ {2x}^{2} + 16 + 16 }{ {x}^{2} - 16 } = \frac{10}{3} }[/tex]
[tex]\displaystyle{3( {2x}^{2} + 32) = 10( {x}^{2} - 16) }[/tex]
[tex]\displaystyle{ {6x}^{2} + 96 = {10x}^{2} - 160 }[/tex]
[tex]\displaystyle{ {10x}^{2} - 160 = {6x}^{2} + 96 }[/tex]
[tex]\displaystyle{ {10x}^{2} - {6x}^{2} - 160 - 96 = 0 }[/tex]
[tex]\displaystyle{ {4x}^{2} - 256 = 0}[/tex]
[tex]\displaystyle{4( {x}^{2} - 64) = 0}[/tex]
[tex] {x}^{2} - {8}^{2} = \displaystyle{ \frac{0}{4} }[/tex]
[tex]\displaystyle{(x + 8)(x - 8) = 0}[/tex]
[tex]\displaystyle{ \rm{either, \: x + 8 = 0............(1) }}[/tex]
[tex] \rm{or ,\: x - 8 = 0...............(2)}[/tex]
From equation (1)
[tex]x + 8 = 0[/tex]
[tex]x = - 8[/tex]
From equation (2)
[tex]x - 8 = 0[/tex]
[tex]\displaystyle{x = 8}[/tex]
[tex] \therefore{x=±8}[/tex]
PLS HELP FAST i have question in the picture if you just answer wrong for the points I will report you
Answer:
[tex]\sf x\ge \:4[/tex]
solving steps:
[tex]\sf 8\left(x-5\right)-3x\ge \:-20[/tex]
[tex]\sf \left(8x-40\right)-3x\ge \:-20[/tex]
[tex]\sf 5x-40\ge \:-20[/tex]
[tex]\sf 5x\ge \:-20+40[/tex]
[tex]\sf 5x\ge \:20\\[/tex]
[tex]\sf x\ge \:\dfrac{20}{5}[/tex]
[tex]\sf x\ge \:4[/tex]
answer is D x [tex]\geq[/tex]4
The GCF of a pair of numbers is 4 and the LCM is 2240. If one the numbers is 64, then what is the other number?
Hi can you show me how to do thistles and
Answer:
#6:
Step-by-step explanation:
#6
So these two angles are actually the same. Since the lines l and m are parallels and those angles are opposite from each other, they are the same.
This means you can solve for x by saying:
3x-63 = 2x+2
x = 65
#7
Since the l and m are parallels, and the angles are NOT opposite, when you add the two angles together, you should get 180 degrees
So:
(2x + 20) + (6x + 24) = 180
x = 17
pieces of chalk are stacked in a pile. part of the pile is shown. the bottom row has 15 pieces of chalk, and the top row has 6 pieces of chalk. each row has on less piece of chalk than the row below it. how many pieces of chalk are in the pile?
can someone pls answer both of these questions
WILL MARK BRAINLIEST
Answer:
Sorry I only know answer to the second question
That is 12000
Step-by-step explanation:
PLEASE MARK ME BRAINLIEST IF MY ANSWER IS CORRECT PLEASE
Whats 0.3(x-5)=7.2 as a numerical
Answer:
x=29
Step-by-step explanation:
0.3(x-5)=7.2
multiply by 10
3(x-5)=72
divide by 3
[tex]x-5=\frac{72}{3} \\x-5=24\\x=24+5\\x=29[/tex]
help me figure this out
Jeff had $20 he spent 1/5 of his money on lunch how much money does Jeff have left
Answer:
4
Step-by-step explanation:
had to look it up but do 20 x 0.2 (1/5) and u get 4
Need help with this question.Find the value of x
Answer:
x=14
Step-by-step explanation:
According to Thales' theorem, the triangle inside 6,7,8 is similar to the triangle 12,x,16:
[tex]\frac{12}{6}= \frac{16}{8} =\frac{x}{7} =2[/tex]
[tex]x=7(2)=14[/tex]
Hope this helps
Give the numbers 12 and 4. Find out how much is the sum and difference of these numbers.
Answer:
The sum is 16 and the difference is 8 unless subtraction 12 from 4 and it would be -8.
Step-by-step explanation:
12 + 4 = 16
12- 4 = 8
4 - 12 = -8
Jill leaves work from the High School, but has to pick up her friend at the airport before going back home. What is the shortest distance she can travel?
A. 27 miles
B. 21 miles
C. 56 miles
D. 84 miles
Answer:
B. 21 miles
Step-by-step explanation:
The shortest overall route will be the sum of the shortest routes between way points.
The shortest route from the High School to the Airport is the direct route, 15 cm on the map. The shortest route from the Airport to Jill's house is via the High School and City Hall, a total of 15+12+21 = 48 cm on the map.
The shortest distance Jill can travel from work to home via the airport is ...
(15 cm +48 cm)/(3 cm/mi) = 21 miles
Answer:
person above is correct it is 21
solve this plsssssss
Let's see
LHS
(-8/9×1/-5)+(-8/9×-7/11)Keep it stay
RHS
-8/9(1/-5+-7/11)Use distributive law
(-8/9×1/-5)+(-8/9×-7/11)Hence proved
Which of the following is a perfect square trinomial?
A. 4x^2 + 20xy - 25y^2
B. 4x^2 - 14xy + 25y^2
C. 4x^2 + 14xy - 25y^2
D. 4x^2 - 20xy + 25y^2
Answer:
[tex]D.~4x^2-20xy+25y^2[/tex]
Step-by-step explanation:
[tex]4x^2-20xy+25y^2\\\\=(2x)^2-2\cdot 2x \cdot 5y+(5y)^2\\\\=(2x-5y)^2[/tex]
The frequency table shows the number of students selecting each type of
food.
Nachos Popcorn Smoothies Total
Boys
5
6
4
15
Girls
6
8
4
18
Total
11
14
8
33
What proportion of students chose popcorn?
The proportion of students who chose popcorn will be 14/33.
How to calculate the proportion?From the information, the frequency table shows the number of students selecting each type of
food.
The number of people who choose popcorn = 14
Total number of people = 33
Therefore, the proportion of students chose popcorn will be:
= 14/33
Learn more about proportion on:
brainly.com/question/19994681
#SPJ1
Answer:
0.42
Step-by-step explanation:
Write the point-slope form of the equation of the line through the points (1,-1) and (5,-2)
Answer:
y + 1 = -1/4 (x - 1) Answer choice C is correct.
Step-by-step explanation:
Point Slope Formula: y - y1 = m (x-x1)
Your points:
(1,-1) and (5,-2)
You need to find the slope first:
Use the formula: y2 - y1 / x2 - x1
Your y2 is -2
y1 is -1
x2 is 5
x1 is 1
-2 - (-1)/5-1
-2 + 1 /4
-1/4 is your slope and the "m" in the formula.
Now we know our y1 is -1 and x1 is 1 you just need to plug them in
y + 1 = -1/4 (x - 1)
Notice that I didn't write y - (-1) this is because the negatives cancel into positives.
Answer choice C is correct.
Answer:
c. [tex]y+1=-\frac{1}{4} (x-1)[/tex]
Step-by-step explanation:
Hi there!
We are given the points (1, -1) and (5, -2)
We want to find the equation of that line using those points, in point-slope form
Point-slope form is written as [tex]y-y_1=m(x-x_1)[/tex], where m is the slope and [tex](x_1, y_1)[/tex] is a point
First, let's find the slope of the line
The formula for the slope (m) calculated from 2 points is [tex]\frac{y_2-y_1}{x_2-x_1}[/tex], where [tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex] are points
We already have everything we need to find the slope, but let's label the values of the points to avoid any confusion when calculating.
[tex]x_1=1\\y_1=-1\\x_2=5\\y_2=-2[/tex]
Now substitute:
m=[tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
m=[tex]\frac{-2--1}{5-1}[/tex]
Subtract
m=[tex]\frac{-2+1}{5-1}[/tex]
m=[tex]\frac{-1}{4}[/tex]
The slope of the line is -1/4
Now substitute this into the formula to find point-slope form (remember that this is [tex]y-y_1=m(x-x_1)[/tex], and that m is the slope value)
Therefore:
[tex]y-y_1=-\frac{1}{4} (x-x_1)[/tex]
Now, let's substitute the values of [tex]x_1[/tex] and [tex]y_1[/tex], which we found earlier (which are 1 and -1 respectively) into the equation
[tex]y--1=-\frac{1}{4} (x-1)[/tex]
Simplify
[tex]y+1=-\frac{1}{4} (x-1)[/tex]
This equation matches option c, which is the answer.
Hope this helps!
The graph of a linear function is shown.
Which word describes the slope of the line?
positive
negative
zero
undefined
Answer:
zero
Step-by-step explanation:
because it's horizontal line
by how much is 5547g greater than 8837 mg
Answer:
5 538 163
Step-by-step explanation:
convert 5547 g to mg
5547×1000=5547000mg
5547000mg-8837mg= 5 538 163mg
Answer:
5538.2
Step-by-step explanation:
convert 8837mg to g
8.8
minus that from 5538=
5538.2
2 triangles. One triangle has side lengths x, 3 units, 4 units. The other triangle has side lengths 11 units, y, 8 units. The two figures are the image and pre–image of a dilation. Find the lengths of the missing sides. x = units, y = units
Answer:
5.5 and 6
Step-by-step explanation:
i got it wrong and it told me this was the correct answer
Answer:
5.5 and 6
Step-by-step explanation:
please help i will mark as brainlest please help me
the answers are supposed to be
a) 8.37 cm b)54.5 cm c) 10.4 cm
Answer:
A.Step-by-step explanation:
Here is how I found it:
Flip the picture 180°.Then, measure the angle.Required:
The angle is 90°.If you don't pay attention, you might mistake it for a 150° angle.Correct choice is A.
Scott needs to replace a broken window at his house. The window is shaped like a triangle with dimensions shown below if glass costs $18.75 per square foot, how much with the replacement window cost?
Given the cost of glass per square foot, the cost for the replacement of the triangular shaped window glass is 1826.77$.
What is a Triangle?A triangle is simply a polygon with three vertices, three side and three sides.
An equilateral triangle is of triangle with all its three sides equal in length.
There area of an equilateral triangle is expressed as;
A = (√3/4) × a²
Where a is the length of the sides.
Given the data in the question;
Length of the side of the equilateral triangle a = 15ftCost of glass per square foot C = $18.75 per ft²Cost of window replacement CoW = ?First we determine the area of the window which is in the shape of an equilateral triangle.
A = (√3/4) × a²
A = (√3/4) × (15ft)²
A = (√3/4) × 225ft²
A = 97.4279ft²
Now, cost of window replacement will be the area of the window multiplied by the cost of glass per square foot.
CoW = A × C
CoW = 97.4279ft² × $18.75 per ft²
CoW = 1826.77$
Therefore, given the cost of glass per square foot, the cost for the replacement of the triangular shaped window glass is 1826.77$.
Learn more about area of triangles here: https://brainly.com/question/19305981
If 3^2x1 = 3^x+5, what is the value of X?
Answer:
2x + 1 = x + 5
x = 5-1
x = 4
Step-by-step explanation:
What the value of q?
Step-by-step explanation:
this is very simple.
you can compare this to the question "in my bag are 70 pieces of fruit. 30 of them are apples. how many pieces of other fruit are there ?"
well, it is 70 - 30 = 40 !
that's it ! that is all there is to it.
so, q = 40°
what is still unclear, please ?