Answer:
5÷4 = 1.25
4÷5 = 0.8
30÷12 = 2.5
12÷30= 0.4
Answer:
5÷4 = 1.25
4÷5 = 0.8
30÷12 = 2.5
12÷30= 0.4
Step-by-step explanation:
The population of an endangered squirrel is decreasing at a rate of 0.75% per year. There are currently
about 200,000 of these squirrels. This is represented by the equation, s = 200,000(0.9925" in which s is the
number of squirrels at any given point in time. How many squirrels will there be in 25, 50 and 100 years?
Answer:
There will be approximately 165,689, 137,264, and 94,207 squirrels in 25, 50, and 100 years respectively.
Step-by-step explanation:
Exponential Decay Function
The exponential function is often used to model natural growing or decaying processes, where the change is proportional to the actual quantity.
An exponential decaying function is expressed as:
[tex]s(t)=s_o\cdot(1-r)^t[/tex]
Where:
s(t) is the actual value of the function at time t
so is the initial value of s at t=0
r is the decaying rate, expressed in decimal
The population of squirrels is decreasing at a rate of r=0.75% = 0.0075. The initial number of squirrels is so=200,00. The exponential model for this situation is:
[tex]s(t)=200,000\cdot(1-0.0075)^t[/tex]
[tex]s(t)=200,000\cdot(0.9925)^t[/tex]
Where s is the number of squirrels at any time t.
We are required to find the number of squirrels in:
t=25 years. Substitute in the formula:
[tex]s(25)=200,000\cdot(0.9925)^25[/tex]
Calculating:
[tex]s(25)\approx 165,689[/tex]
t=50 years. Substitute in the formula:
[tex]s(50)=200,000\cdot(0.9925)^50[/tex]
Calculating:
[tex]s(50)\approx 137,264[/tex]
t=100 years. Substitute in the formula:
[tex]s(100)=200,000\cdot(0.9925)^100[/tex]
Calculating:
[tex]s(100)\approx 94,207[/tex]
There will be approximately 165,689, 137,264, and 94,207 squirrels in 25, 50, and 100 years respectively.
What am I doing wrong (factoring by grouping)
Answer:
it's correct
Step-by-step explanation:
if you multiply out what you got, it equls the original thing
EDIT:
oh right
s^2-9 is s+3 and s-3
You can still get S out of [tex]s^2[/tex] and [tex]2s[/tex] and you can still get 3 out of [tex]-9[/tex] and [tex]3[/tex]. The end result will be [tex]2s^3 + 3s^2-18s-27[/tex]
When adding decimals with the same sign you.....
Answer:
keep the decemal in the same place? there's not really alot to go by on your question
Answer:
keep the same sign and add the value to each number
Step-by-step explanation:
Brandon is not smiling. He just left the
dentist's office, and he has 5 cavities! If
it takes the dentist 14 minutes to fill one
cavity, how long will it take to fill all 5 of
Brandon's cavities?
Answer:
it should take 70 mins to fill all 5
hope this helps!! :)
Step-by-step explanation:
14 x 5 = 70
Answer:
70
Step-by-step explanation:
14 minutes = 1 cavity
x minutes = 5 cavities
70= x
i’ll give u brainliest!!
what is the area of shape 1, 2 and 3
Answer:
Shape 1: 25.915
Shape 2: 102.85
Shape 3: 142
Step-by-step explanation:
For shape 1, you have to divide 7.1 to get half the width of the triangle. You get 3.55 from that, and then finding the triangle itself you have to do 7.3*3.55 to get 25.915. For shape 2, you first do the harder parts (the triangles) and since there is two of them we don't need to half the width of each triangle. But first to get the width, we need to do 20-17.4=2.6. But since there are 2 triangles we need to divide that by 2 to get 1.3. Then you multiply that by 5.5 to get the final area of both triangles which is 7.15. Next you simply find the rectangle which is 17.4*5.5=95.7. You add the triangles area to get 102.85. Finally for shape 3 you simply do 7.1*20=142.
Answer:
after u get ur answers, u add up all the numbers to get ur total
Step-by-step explanation:
Write an equation of the line that passes through (0,5) and (4,5).
plssss
How much is b3 + c=
if a = 9, b = 3, and c = 13
Help please
A company rents out 16 food booths and 23 game booths at the county fair. The fee for a food booth is $100 plus $9 per day. The fee for a game booth is $95 plus $5 per dat. The fair lasts for d days, and all the booths are rented for the entire time. What is the simplified expression for the amount, in dollars, that the company is paid.
Answer:
3785 + 259d
Step-by-step explanation:
cost of food booths = 16 * (100 + 9d) = 1600 + 144d
cost of game booths = 23 * (95 + 5d) = 2185 + 115d
total = 1600 + 2185 + 144d + 115d = 3785 + 259d
Debbie rides her bike to school every day. On Monday, she rode 1.5 miles to school in 10
minutes. On her way home, she took a different route through a park, and rode 3 miles in 15
minutes. On which route did Debbie ride at a faster pace?
Answer:
the second route
Step-by-step explanation:
1.5/10=0.15 miles/minute
3/15=0.2 miles/minute
0.2 is faster than 0.15
PL EA S E H E L P M E! !
A_______consists of an infinite number of points which form a flat surface that extends in all
directions forever.
A) Line
B) Plane
C) Point
D) Line segment
Answer:
that is the definition of a PLANE
Step-by-step explanation:
helppp!!
right answers only please!
Answer:
Y-intercept
Step-by-step explanation:
The y-intercept is the part of the line that crosses the y-axis.
The red dot (where the arrow is pointing to) is the y intercept
Please help im stuck
Valerie deposits $1,900 in an account that
earns 3% interest, compounded quarterly.
How much is in the account after six years?
Answer:
$2273.19
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Compound Interest Rate Formula: [tex]\displaystyle A = P(1 + \frac{r}{n})^{nt}[/tex]
A is final amountP is principle amountr is raten is compound ratet is time (in years)Step-by-step explanation:
Step 1: Identify Variables
P = $1900
r = 3% = 0.03
n = 4
Step 2: Solve for A
Substitute [CIRF]: [tex]\displaystyle A = 1900(1 + \frac{0.03}{4})^{4(6)}[/tex](Parenthesis) Divide: [tex]\displaystyle A = 1900(1 + 0.0075)^{4(6)}[/tex](Parenthesis) Add: [tex]\displaystyle A = 1900(1.0075)^{4(6)}[/tex](Exponents) Multiply: [tex]\displaystyle A = 1900(1.0075)^{24}[/tex]Exponents: [tex]\displaystyle A = 1900(1.19641)[/tex]Multiply: [tex]\displaystyle A = 2273.19[/tex]HELP PLZZZZZ AS SOON AS POSSIBLE GEOMETRY WITH EXPLANATION
Answer:
34.06°
Step-by-step explanation:
25 is the length of the hypotenuse side and 14 is the length of the opposite side.
Therefore, you will need to use sine to work out the missing angle.
sinx = opp / hyp
sinx = 14 / 25
x = sin ^ -1 (14 / 25)
= 34.06°
WILL MARK BRAINLIEST Solve this system of linear equations. Separate
the x- and y-values with a comma.
2x = -24 - 4y
-5x = 36 + 4y
Enter the correct answer.
Answer:
x=-4 , y=-4
Step-by-step explanation:
see the attached pic
what laws of exponent they are:
1. (x-²)-³ = x⁶
2. (a^m)^n = a^m^n
3. a⁰ = 0
Answer:
The laws of exponents are:
a) (x^n)*(x^m) = x^(n + m)
b) (x^n)/(x^m) = x^(n - m)
c) (x^n)^m = x^(n*m)
Now, let's see the given equations:
1) (x-²)-³ = x⁶ (true)
Here we se the third law, the "c"
(x^(-2))^(-3) = x^(-2*-3) = x^6
Then this equation is correct.
2) (a^m)^n = a^m^n (false)
This law does not exist, this is false.
An example of why this is false is:
Let's use the values:
a = 2, m = 1, and n = 2
then, in the left side we have:
(2^1)^2 = (2)^2 = 4
And in the right side we have:
2^(1^2) = 2^(1) = 2
We can see that we have different things in the left side than in the right side, then that relation is false.
3) a⁰ = 0 (false)
Let's rewrite this as:
a^0 = a^(n - n)
Now we can use the second law to rewrite this as:
a^(n - n) = (a^n)/(a^n)
And we have a number divided by the exact same number, we know that this is equal to 1, then:
(a^n)/(a^n) = 1
this means that:
a^0 = 1.
Then this is also false.
The only correct option is the first one.
Item 6 A rectangular prism has a length of 8 meters, a width of 4 meters, and a height of 5 meters. Which equations could be used to determine the volume, V, of the prism? Select each correct answer. V = 12 × 5 V = 5 × 4 × 4 V = 8 × 4 × 5 V = 32 × 5
Answer:
I am 100% sure that the answer is 240.
Step-by-step explanation:
The volume of the prism is 160 m³ and the correct equation is V = 8 × 4 × 5.
How to write a linear equation?A linear equation for the given case can be written by assuming any variable as the unknown quantity. Then, as per the given data the required operations are done and it is equated to some value.
The length, width and height of the rectangular prism are given as 8m, 4m and 5m respectively.
Since, the volume of the prism is given as the product of its length, width and sides.
For the given prism the volume can be obtained as,
V = 8 × 4 × 5
⇒ V = 160 m³
Hence, the correct equation is given as V = 8 × 4 × 5.
To know more about linear equation click on,
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GIVING OUT BRAINLEST
WY is the perpendicular
bisector of XZ.
What is X= ?
Answer:
x = 8
Step-by-step explanation:
Since the statement is true, then XY and ZY are the same length. You can set them to equal each other.
[tex]XY = ZY[/tex]
[tex]2x + 3 = 3x - 5[/tex]
[tex]3 = x - 5[/tex]
[tex]8 = x[/tex]
[tex]x = 8[/tex]
Hope this helps!
give the coordinates (1,4) after a translation 3 units up and 2 units to the left.
Answer:
The coordinates would be (3,7)
WHOEVER ANSWERS THIS FIRTS GETS BRAINIEST
Answer:
62mm
Step-by-step explanation:
Add each side together, check answer.
Start by adding 17 and 10 together. Break it down and that equals 27. Add 11 and you get 38. Add 19 and 5 to get 24 and add that to 38. Answer, 62mm.
Write an equation of a line in slope-intercept form with the given slope and y-intercept. slope: 2/3, y-intercept: −5
A customer paid 9x + 11y dollars for a bag that contains x pounds of chocolate and y pounds of almonds.
Which statements about the expression are true?
Select the three statements that are true.
The amount the customer paid, in dollars, for the chocolate in the bag is 9x.
O The amount the customer paid, in dollars, for the chocolate in the bag is 11y.
The total weight of the bag of chocolate and almonds is 9x + 11y.
The total weight of the bag of chocolate and almonds is x + y.
The cost per pound of the chocolate is $11.
The cost per pound of the almonds is $11.
Answer:
*The amount the customer paid, in dollars, for the chocolate in the bag is 9x.
*The total weight of the bag of chocolate and almonds is x + y.
*The cost per pound of the almonds is $11.
Step-by-step explanation:
A customer paid 9x + 11y dollars for a bag that contains x pounds of chocolate and y pounds of almonds.
From the above questions, we know that:
The weight of Chocolate = x pounds
The weight of Almonds = y pounds
The cost per Chocolate = $9
The cost per Almonds = $11
Therefore, the three statements that are true are:
* The amount the customer paid, in dollars, for the chocolate in the bag is 9x.
* The total weight of the bag of chocolate and almonds is x + y.
*The cost per pound of the almonds is $11.
1. A car used be of a gallon of gas to drive of a mile. At this rate, how many miles can the car travel using 1 gallon of gas?
Answer:
I think it is 16
Step-by-step explanation:
64÷4=16
4/64of gas=1 mile so I divided 64 by 4
PLZ HELP ME
6÷2(1+2)=?????
9
6/2x3
3x3
9
Hope I helped
What is the absolute value of -3?
A. -3
B. 3
Answer:
B. 3Step-by-step explanation:
[tex]|a|=\left\{\begin{array}{ccc}a&if&a\geq0\\-a&if&a<0\end{array}\right[/tex]
Examples:
[tex]|3|=3\ because\ 3\geq0\\\\|-10|=-(-10)=10\ because\ -10<-\\\\|0|=0\ because\ 0\geq0\\\\|-0.5|=-(-0.5)=0.5\ because\ -0.5<0\\\\|-1,000|=1,000\ because\ -1,000<0[/tex]
Your question:
[tex]|-3|=-(-3)=3\\\\|-3|=3[/tex]
please help me with this question!
If the points are (-10, 3), (-2, 10) what is the slope?
Answer:
= 7/ 8
Step-by-step explanation:
We can find the slope using the slope formula
m = ( y2-y1)/(x2-x1)
= ( 10-3)/( -2 - -10)
= ( 10-3)/( -2 +10)
= 7/ 8
For which function does f decrease by 15% every time x increases by 1?
Select the correct choice.
Answer:
0.85x
wertyipjhgfdfghjkjxcvbnmuytredxcvbnko
[tex]f(x)=0.85^{x}[/tex] is the required function.
What is function ?
If in a mathematical statement, a set of inputs, i.e. set x having exactly one output (in set y) each, then this is called a function.
What is the required function ?The function that decrease by 15% every time increases by 1 is,
[tex]f(x)=(1-0.15)^{x}[/tex]
Now, simplifying it, we get,
[tex]f(x)=0.85^{x}[/tex]
Hence, the required function is [tex]f(x)=0.85^{x}[/tex]
Learn more about function here :
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What is the equation of the line perpendicular to y = = x+ 3 passing through the point (-3,4)?
Answer:
y = 3x + b
Step-by-step explanation:
The slope of y=mx+3 that passes through (-3,4) is found like this:
1. Substitute the y and x values in (4 = m*(-3) + 3).
2. Simplify by subtracting 3 from each side (1 = m*(-3)).
3. Simplify by dividing each side by -3 (-1/3 = m).
Since the slope of perpendicular lines are negative reciprocals, the slope of the perpendicular line is 3. The y-intercept can be anything and it will still be perpendicular.