The amount of people in 2010 is 11571 and it would take approximately 22 years to reach 50000 people.
Let P represents the population as of the year(t) 2000. Given the equation:
[tex]P=3485e^{0.12t}[/tex]
In the year 2010 (t = 10 years), the population would be:
[tex]P=3485e^{0.12*10}=11571\ people[/tex]
For the population to reach 50000 people:
[tex]50000=3485e^{0.12t}\\\\t=22\ years[/tex]
The amount of people in 2010 is 11571 and it would take approximately 22 years to reach 50000 people.
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What is the equation of a line that goes through points (4,-5) and (-4, 1)?
Answer:
y=-3/4x-2
Step-by-step explanation:
y=mx+b form (slope intercept form)
1) find slope
(4,-5) and (-4,1)
1-(-5)=6
-4-4=-8
m=6/-8 or 3/-4
y=-3/4x+b
Plug a coordinate in y=mx+b. Plug either (4,-5) or (-4,1)
in this case, I'll plug in (4,-5).
-5=-3/4(4)+b
Note that I substituted the y and x variables in place of one of the coordinates.
find b=-2.
Result: y=-3/4x-2
Peter says, "If you subtract 16 from my number and multiply the difference by - 2, the result is
- 34." What is Peter's number?
Answer:
33
Step-by-step explanation:
Let the number be x,
=> (x - 16) -2 = - 34
=> -2x + 32 = -34
=> -2x = - 34 - 32 (by transposing)
=> -2x = -66
=> x = -66/-2 = 33
Peter's number is 33.
Hope you understood.
Chanel says the sequence of transformations that maps trapezoid PQRS onto trapezoid KLMN is: rotate it 90 degrees counterclockwise, and then dilate it by a scale factor of .
Preston says the sequence of transformations that maps trapezoid PQRS onto trapezoid KLMN is: reflect it across the x-axis, and then dilate it by a scale factor of .
Answer:
it changes it by putting it into quadrant 2.
Step-by-step explanation:
(x,y) → (x,-y)
KLMN is an upside down image of PQRS So it was reflected across the x axis and then scaled by 1/2
Preston is correct
How do I solve this question?
Answer:
A
Step-by-step explanation:
throat bababy
Evan is going to the 50th state fair this weekend, it cost $10 to enter and each ride is $2. Create a linear function that could be used to determine how many "x" rides Evan can go in. What does the variable "y" represent?
Answer:
y represents the total amount he spent in x amount of rides+ the $10 fee.
Step-by-step explanation:
At x=0, y=10 because he needs to pay $10 to enter, and he haven't rode on anything yet.
x=1, y=12
x=2, y=14
x=3, y=16
... and so on.
Find the slope of the line going through the pair of points: (11, 7), (-9, 8)
20
O-20
0 - 20
O 20
Answer:
1/-20 or -0.05
Step-by-step explanation:
PLEASE HELP QUESTION IN PICTURE
Answer:
y=4x+5
Step-by-step explanation:
If 58 out of 100 students in a school are boys. Write decimal expressions for the part of the school that consists of boys.
(Hint: 58 is what percentage of 100?)
Answer:
58 out of 100 is
58/100
as a decmil that is
0.58
Hope That Helps!!!
If AB is parallel to CD and the slope of AB is -3, what is the slope of CD
Answer:
-3
Step-by-step explanation:
The slopes of parallel lines are equal.
If two lines are parallel (that means they are at the same angle, they are always the same distance apart and they never cross), then they have the same slope. Both lines have slope -3
Answer:
-3
Step-by-step explanation:
There is a rule in math that if two slopes are parallel, they must have the same slope. Let's answer the question with this first.
So AB is parallel to CD, meaning they must have the same slope. If AB's slope is -3, then so must CD's. That's the answer to the question.
Coming back to the parallel slope rule, why does this work? Well, if two lines are parallel, it means they never will touch each other, meaning they rise, fall, bend, curve, etc... at the same rate. The slope is the change in how much the line rises divided by the change in how much it runs (moves horizontally). That proves the rule.
Please consider a brainliest, thank you!
What is the value of x? Leave your answer in simplest radical form.
Answer:
sqrt 52
Step-by-step explanation:
use the pythagorean thereom
side a - 4
side b - 6
to find the hypotenuse, simply square both sides.
4² + 6²
4 x 4 = 16
6 x 6 = 36
add these two together
you should get 52.
After finding the combined side length, find the inverse operation of squared.
The inverse operation is the square root.
So find the square root of 52.
√52 = 7.21110255
round to the nearest tenth.
the answer should be 7.2
But to keep it in radical form the answer is sqrt 52
The value of x is 2√13.
Step-by-step explanation:With the help of Pythagoras theorem, we will find the value of x.
=> x² = 6² + 4²=> x² = 36 + 16=> x² = 52=> √x² = √52=> x = √52=> x = √2 x 26=> x = √2 x 2 x 13=> x = 2√13Conclusion:Therefore, the value of x is 2√13.
Hoped this helped.
[tex]BrainiacUser1357[/tex]
Find the perimeter of the figure below, in centimeters.
Answer
64.8
Step-by-step explanation:
brainliest pls
Answer:
64.8 cm.
Step-by-step explanation:
Add up the sides:
Perimeter = 2(8.7) + 2(5.5) + 2(5.5) + 2(10.8) + 2(1.9)
= 17.4 + 11 + 11 + 21.6 + 3.8
= 64.8 cm.
Find the value of x
Answer:
x = 8Step-by-step explanation:
is an isosceles triangle, so 12 = x + 4
12 = x + 4
x = 12- 4
x = 8
----------------
check
12 = 8 + 4
12 = 12
the answer is good
Hi! Can somebody please help me? I have been stuck on this question for too long now.
Examine this set of Pythagorean triples from part C. Look for a pattern that is true for each triple regarding the difference between the three values that make up the triple. Describe this pattern. Then see if you can think of another Pythagorean triple that doesn’t follow the pattern you just described and that can’t be generated using the identity (x^2 - 1)^2 + (2x)^2 = (x^2 + 1)^2. Explain your findings.
The Set of Pythagorean triples:
x-value Pythagorean Triple
7 (14,48,50)
8 (16,63,65)
9 (18,80,82)
10 (20,99,101)
Answer:
its 7
Step-by-step explanation:
There are 8 tanks and 5 barrels. Each container has 45 liters of
oil. What is the total amount of oil in all the containers?
liters
Answer:
585
Step-by-step explanation:
Since there are 8 tanks and 5 barrels, you must add the two together,
[tex]8+5=13\\[/tex]
Then since there are 45 liters of oil in each containe, you have to multiply,
[tex]13x45=585[/tex]
There are 585 liters of oil
Monty Ricker obtained a used car loan of $6,000.00 at 8% for 36 months. The monthly payment is $ 187.80. The balance of the loan after 12 payments is $ 4,159.90. The balance after the 34th payment is $ 380.60.
Answer:
What is the intrest for the 13th payment?
Answer: What is the interset
Step-by-step explanation:
x+y=15
- 2x+5y=-2
solve the system of equations
please answer i’ll name you brainliest
Answer:
x= 11 and y = 4
Step-by-step explanation:
(solving by elimination)
Multiply the first equation by 2 and multiply the second one by 1.
2(x+y= 15)
1(-2x+5y=-2)
is now
2x+2y=30
-2x+5y-2
add them together to eliminate x
7y=28
then solve for y
7y=28
[tex]\frac{7y}{7}[/tex]=[tex]\frac{28}{7}[/tex]
y=4
---
Now you have y. put that back into the original equation for X
---
x+y=15
y= 4 so
x+4=15
x= 15-4
x=11
x=11, y=4
20% of 200 solve how .
Answer:
20% of 200 is 40
Step-by-step explanation:
multiply 20 and 200 then divide by 100 to get your answer (20*200)/100=40
When the greatest common divisor and least common multiple of two integers are multiplied, their product is 200. How many different values could be the greatest common divisor of the two integers
Answer:
k = 1 or 2 or 5 or 10
Step-by-step explanation:
Suppose GCD is k, 2 numbers are kA and kB
LCM is k*A*B,
GCD*LCM: k*(k*A*B) = 200
k² * A*B = 200
A*B could be 1 , 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200
k² (k is integer) could be 1, 4, 25, 100
k = 1 or 2 or 5 or 10
answer pls:)))))))).
please help!! i don’t know how to do this please help asap.
PLEASE HELP!!!!!!!!!!!!!
Alberta is going to take a 2-hour-26-minute flight from Chicago, Illinois, to
Denver, Colorado, that leaves at 11:49 a.m. Chicago time. If Illinois is in the
central time zone and Colorado is in the mountain time zone, what will be the
local time in Denver when the flight arrives?
Use the following to help you answer the question
12:00 p.m. eastern time = 11:00 a.m. central time = 10:00 a.m. mountain
time = 9:00 a.m. Pacific time.
A. 12:15 p.m.
B. 2:15 p.m.
C. 1:15 p.m.
D. 11:15 a.m.
SUBMIT
Answer: 1:15pm
Step-by-step explanation:
Write the expanded form of the expression.
3(4x - 6) =
Answer:
12x - 18
Step-by-step explanation:
3 x 4x = 12x
3 x -6 = -18 (Negative and positive make a negative.)
12x - 18
how do I dilate triangles using scale factors? step by step
Answer:
so first you
Step-by-step explanation:
find the center point of dilation and measure the distance from this center point to a point on the preimage and also the distance from the center point to a point on the image.
can i get some help on this question?
3x - 7 = 3x + 9; x =
Please can someone help me and show me the answers step by steps
Answer:
i think probably x∉∅
Step-by-step explanation:
3x-7 = 3x+9
-7 = 9
so x∉∅
Answer:
0 = 16 or No Solution
Step-by-step explanation:
1) Add 7 to both sides of the equation
3x - 7 + 7 = 3x + 9 + 7
2) Simplify
A. Add the numbers
3x = 3x + 9 + 7
B. Add the numbers
3x = 3x + 16
3) Subtract 3x from both sides of the equation
3x - 3x = 3x + 16 - 3x
4) Simplify
A. Combine like terms
0 = 3x + 16 - 3x
B. Combine like terms
0 = 16
How much does darma earn if she babysits 6 hours
Answer:
42$
Step-by-step explanation:
Since she earns 28 $ in 4 hours
Let the hour : X
4x=28
X=28/4
X=7
Since the question want 6 hours
Then she earns
6x7=42$
у — 3x 4
у > 4х +1
Anyone know the answe on how to solve this???
Answer:
Unbounded, infinite number of solutions
Step-by-step explanation:
1. Graph each inequality separately
2. Choose test point to determine which side of line needs to be shaded
3. The solution will be the the area where the shadings from both inequalities overlap
Since, the overlap almost covers the 2nd and 3rd quadrants there are an infintite number of solutions
Question 1 (1 point)
When a transversal passes through two lines and the corresponding angles are
congruent, then the lines are parallel.
True
False
Answer:
True
Step-by-step explanation:
If corresponding angles are congruent, the lines are parallel
Solve please! :) The values of m n k respectively.
Answer:
1,6,2 and 5
Step-by-step explanation:
(2x/5)² . (1x⁴/4)^-1
=(2²x²/5²) . (4/x⁴)
=4x²/25 × 4/x⁴
= 16/25x²