Answer:
70/2
Step-by-step explanation:
We have a population of 200 people
Growth rate = 2%
How long it will take for the population to double
Double the population = 2× 200 = 400
The formula for Exponential growth =
y = a(1 + r)^t
y = Value at time t = 400
a = Initial value = 200
r = 2% = 0.02
t = ?
Hence:
400 = 200 ( 1 + 0.02)^t
Divide both sides by 200
400/200 = 200 ( 1 + 0.02)^t/200
2 = (1.02)^t
Take logarithm of both sides
log 2 = log(1.02)^t
log 2 = t log 1.02
t = log 2/log 1.02
t = 35.003417942
Approximately t = 35
We have so many formula to calculate doubling time
t = 70/Growth rate
From the above question
Growth rate = 70/2%
= 35
Therefore, the equation that we use to calculate how long it will take for the population to double to 400 people is 70/2
Which piecewise function is shown on the graph?
Answer:
Option A
Step-by-step explanation:
Just substitute each value of x in the graph to find the correct function.
When be graph the functions given, we find that option A is correct.
What is meant by to graph a function?To graph a function, you have to select x-values and plug them into the equation. Once you plug those values into the equation, you will get a y-value. Your x-values and your y-values make up your coordinates for a single point. Keep plugging in x-values to get coordinates to plot more points on the graph, and then you will see your graphed function once the dots are connected.
Using the graph,
For x < = -2, y = 5.
For -2 < x < 1, the function is a polynomial.
We have two options, either [tex]y = x^{2} -5\ or\ y = x^{2} +5[/tex]
The polynomial must have the point (0,-5) on it.
For [tex]y = x^{2} -5[/tex] , when x = 0, y = -5.
Hence, it is the correct option.
For x >= 1,
Using graph, we see that when y = 0, x lies between 3 and 4.
For equation, [tex]y = 2^{(x-2)} - 2\\[/tex], when y = 0, x = 3, so it is not correct.
For equation, [tex]y = 2^{(x-2)} - 3\\[/tex], when y = 0, x = 3.584, hence it is correct.
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Ron used 24 cubes to make this 3-step staircase. If he uses a total of 84 cubes to make a similar staircase, how many steps will the staircase have? Think of using objects to solve this problem
hiii please help i’ll give brainliest:)
Answer:
Geographic Features of Ancient Greece
Step-by-step explanation:
Greece has all these attributes on the list
Answer:
Geographic Features of Ancient Greece
Step-by-step explanation:
plzzzzzzzzzzzzzzzzzzzzzzzz give brain alist
Does the following equation, y= -x2 -10x +1 have a maximum or
minimum. Explain
Answer:
Step-by-step explanation:
Your y= -x2 -10x +1 should be written as y = -x^2 -10x +1. This is a quadratic function. Because the coefficient (-1) of the x^2 term is negative, we know immediately that the graph (a parabola) opens down, and thus has a maximum.
HELP!! Choose the fraction pair that is equivalent.
A) 4/5 and 8/20
B) 3/4 and 4/3
C) 3/12 and 1/3
D) 8/24 and 1/3
I need help please :)
What data does the x-axis show?
25 points ***!!
Answer:
time in weeks
Step-by-step explanation:
Please help me on this question I really need help. :,)
Answer:
a. (7, 27) Polly was incorrect.
b. (3, 1) Polly was correct.
Step-by-step explanation:
a.
y = 4x - 1
2x - y = -13
We can solve this by substitution. Our first equation gives us y. Plug that into our second equation for each instance of y.
2x - y = -13
2x - (4x - 1) = -13
First distribute the negative sign across the parentheses.
2x - 4x + 1 = -13
Combine like terms.
-2x + 1 = -13
-2x = -14
Divide both sides by -2.
x = 7
Now that we know x, plug its value into one of our original equations.
y = 4x - 1
y = 4(7) - 1
Solve.
y = 28 - 1
y = 27
Our solution is (7, 27).
Let's check our answer by plugging both values into one of our original equations.
2x - y = -13
2(7) - 27 = -13
Solve.
14 - 27 = -13
-13 = -13
Your solution is correct.
Polly's solution was (-2, -9), which is incorrect.
b.
3x + 6y = 15
-2x + 3y = -3
Let's solve this by elimination. To solve by elimination means to eliminate a variable from the equation.
We have 3x & -2x and 6y & 3y. Notice that 6 and 3 can be simplified easily. To eliminate y, we want to multiply each factor of the second equation by -2.
-2x + 3y = -3
-2(-2x + 3y = -3)
4x - 6y = 6
Write the equations together.
3x + 6y = 15
4x - 6y = 6
Now we can see that the y variable will cancel out.
Apply the elimination method.
3x + 6y = 15
4x - 6y = 6
________
7x = 21
Divide both sides by 7.
x = 3
Now that we know x, plug its value into one of our original equations.
3x + 6y = 15
3(3) + 6y = 15
Solve.
9 + 6y = 15
6y = 15 - 9
6y = 6
y = 1
Our solution is (3, 1).
Let's check our answer by plugging both values into one of our original equations.
-2x + 3y = -3
-2(3) + 3(1) = -3
Solve.
-6 + 3 = -3
-3 = -3
Your solution is correct.
Polly's solution was (3, 1), so she was correct.
Hope this helps!
Find the sum of the zeros in the following equation:
Y=(2x – 1) (x + 4) (2x– 3) (x– 1)
3x + 7 = 9x + 3
No solution one solution or infinite
Answer:
One solution.
Step-by-step explanation:
X=2/3 or x=2.6666
Answer:
x=2/3
Step-by-step explanation:
3x + 7 = 9x + 3
Collect like terms (subtract 3x from both sides and subtract 3 f4=rom both sides)
The resulting equation will look like this:
4=6x
=6x=4
Divide be 6 on both sides:
x=4/6
Simplify:
x=2/3 :-)
Solve
A. n = 12
B. n = -12
C. n = -3
D. n = 3
Answer:
n/3+2 =-2
n+6=-6
n=-12 is your answer
Answer:
B
Step-by-step explanation:
Given
[tex]\frac{n}{3}[/tex] + 2 = - 2 ( subtract 2 from both sides )
[tex]\frac{n}{3}[/tex] = - 4 ( multiply both sides by 3 to clear the fraction )
n = - 12 → B
Giving brainlist to whoever answers
Answer:
420
Step-by-step explanation:
volume = length x width x height
12 x 5 x 7 = 420
HELP PLEASE!! Which option is correct?!
Answer:
Step-by-step explanation:
C
Answer:
im pretty sure it is D
Step-by-step explanation:
find the slope
y= 1/3x + 18
Answer:
1/3
Step-by-step explanation:
y = mx + b
m is the slope and b is your y-intercept.
Answer:
m = 1/3
Step-by-step explanation:
If tara invites 6 friends. And each friend should get 5 cookies but there are 12 cookies how many more cookies does tara need.
Answer:
18
Step-by-step explanation:
6 friends times 5 cookies is 30 cookies in total
30 cookies minus 12 cookies already made is 18!
Answer: 18 cookies
Step-by-step explanation:
Tara invites 6 friends, each friend gets 5 cookies.
So, 6 x 5 to find how many cookies are for 6 friends.
6 x 5
= 30 cookies
Tara only has 12 cookies. How much more does she need?
Everyone should get 30 cookies, but there is only 12.
Subtract to find the difference!
30-12=18
What is the quotient of the fractions below? 2/3 divided by 5/4
A. 5/6
B. 6/5
C. 15/8
D. 8/15
Hurryyy!!!
The quotient of the fractions 2/3 divided by 5/4 is 8/20
What is a fraction?A fraction can be simply described as the part of a whole variable, number or element.
There are several types of fractions in mathematics, which includes;
Complex fractionsImproper fractionsProper fractionsMixed fractionsSimple fractionsWhat is quotient?Quotient can simply be described as the product of division of two numbers or variables,
From the information given, we have;
2/3 ÷ 5/4
take the inverse of the divisor and multiply
2/3 × 4/5
Multiply the values
8/20
Hence, the value is 8/20
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PLEASE HELP!!!!!!!!!!!!!!!!!!!!
Answer:
g(x) = -x²
Step-by-step explanation:
By looking at the graph and equation of the blue quadratic line, you know the y-intercept is 4. When you look at the red one you can see the y-intercept is 0 so then the equation should be g(x) = -x²
Answer:
Answer B
Step-by-step explanation:
If both the function have the same shape, it means that the function f(x) is just shifted downwards to obtain function g(x).
The function f(x) is given as,
[tex]f(x) = 4 - x^{2}[/tex]
Shifting the curve downwards by 4 unites, the function g(x) is obtained,
[tex]g(x) = f(x) - 4\\g(x) = 4 -x^{2} - 4\\g(x) = -x^{2}[/tex]
I think option B is the correct choice.
Given that x = 5.7 m and θ = 43°, work out BC rounded to 3 SF
Answer:
BC ≈ 4.17
Step-by-step explanation:
Using the cosine ratio in the right triangle
cos43° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{BC}{AC}[/tex] = [tex]\frac{BC}{5.7}[/tex] ( multiply both sides by 5.7 )
5.7 × cos43° = BC , then
BC ≈ 4.17 ( to 3 sf )
which number is equivalent to
6^2×6^3
A. 150
B. 623
C. 327
D. 252
Answer:
150
Step-by-step explanation:
can someone help me answer this.
Answer:
C) H
Step-by-step explanation:
It can only be a function when every y has a different x. There cannot be an x with multiple y’s
Can someone plz help !!!
Answer:
3
Step-by-step explanation:
5 + 4 = 9
12 - 9 = 3
In order to find the missing length you will need to add up the given lengths then subtract that from the total perimeter.
Solve 7y^2+ 21 = 77, where Y is a real number. Round your answer to the nearest hundredth.
Please I really need help
Answer:
19/4 =12
Step-by-step explanation:
The 19/4 is a fraction, 19 being the top (numerator)
and 4 being the bottom (denominator)
please help with question 5
He exponential model describes the population, A, of a country in millions, t years after 2003. Use the model to determine the population of the country in 2003. The population of the country in 2003 was nothing million.
Complete question :
The exponential model A=16.2e^0.01t describes the population, A, of a country in millions, t years after 2003. What was the population in 2003?
Answer:
16.2 million
Step-by-step explanation:
Given the equation :
A=16.2e^0.01^t
Where, t = number of years after 2003
The population in year 2003 ; can be obtained thus ;
t = 2003 - 2003 = 0
Put t = 0 in the equation :
A(0) =16.2e^0.01^0
A(0) = 16.2 * 1
A(0) = 16.2
Hence, population in 2003 is 16.2 million
3x^5 + 2x^2 What is the degree of this polynomial?
A. 1
B. 3
C. 5
D. 6
option ( C )
5
...........
Answer:
C. 5
Step-by-step explanation:
The degree is the highest exponent in the polynomial and in the polynomial given, 3x^5 has the highest exponent, being 5, so that would be the degree.
Hope this helps :)
what is 1 1/3 times 1 3/4 T-T
Answer:
The answer is: 7/3 or if ya want it simplified ( 2 1/3)
~ hope this helped, have a gr8 day/ night my friend!~
Step-by-step explanation:
Answer:
2 and 1/3
Step-by-step explanation:
What is the simplified form of the following expression? 3sqrt 4x/5
Find the circumference and area of each circle. PLEASE HELP!
Answer:
There are so many!
For circumference use = 2 pi r
For area use = pi r²
I have told only formula, else you may lack practice. try to solve yourself
solve with work please
Answer:
150 yd
Step-by-step explanation:
Since the line segment is an angle bisector then it divides the opposite side into segments that are proportional to the other 2 sides , that is
[tex]\frac{250}{375}[/tex] = [tex]\frac{x}{225}[/tex] ( x is the distance from the hole to the oak tree )
Cross- multiply
375x = 56250 ( divide both sides by 375 )
x = 150
The hole is 150 yards from the oak tree.