Answer: 100 x 2^ t/9
Step-by-step explanation:
The initial population of 100 that doubles in 9 years, gives the
expression for population as; [tex]\underline{ P = 100 \cdot e^{0.077 \cdot t}}[/tex].
How can the expression for the population be found?Given parameters are;
The time it takes the population to double = 9 years
The initial population count = 100
Required:
The expression that gives the population after t years.
Solution:
The population as a function of time can be expressed as an
exponential function as follows;
[tex]P = \mathbf{P_0 \cdot e^{c \cdot t}}[/tex]
At the start, t = 0, P = 100, we have;
[tex]100 = \mathbf{ P_0 \times e^{c \times 0} }= P_0[/tex]
Therefore;
P₀ = 100
After 9 years, we have;
P = 2·P₀
Therefore;
[tex]2 = \mathbf{ e^{c \times 9}}[/tex]
ln(2) = 9·c
[tex]c = \dfrac{ln(2)}{9} \approx 0.077[/tex]
The function that gives the population is therefore;
[tex]\underline{ P = 100 \cdot e^{0.077 \cdot t}}[/tex]Learn more about exponential functions here:
https://brainly.com/question/15602335
6) A design for a library has a scale of
1/3inch = 1 foot. The height of the library
in the drawing is 12 inches. What is the
actual height of the library?
Answer:
36 feet
Step-by-step explanation:
There are three feet to each foot, 3 times 12 is 36.
I need help cause I’m lazy to do it myself it’s 4 in the morning
Answer:
C. Mario should have multiplied the x-values by $6.50 to get the y values.
Step-by-step explanation:
Let's do it the way they said. If we were to multiply 1 by 65, it would be $65. If we did the same thing for 2, 2 x 65 is $130. This is incorrect because these values do not match up with the ones on the graph.
Decimal points are important in this case because it completely changes your answer. When you multiply 1 by 6.50, you get 6.50. Which is what's on the graph. Multiply 2 by 6.50 and you'll get $13, and so on.
So now we can conclude that the mistake Mario made was that he multiplied x by the wrong value (65), when it should have been $6.50.
Note: Hope this helps! Good luck on your test. :)
Write the ratio as a fraction in simplest form.
51:9
Answer:
The ratio of 51:9 in it's simplest form is 17:3.
Which number is equivalent to?
The pendulum swings at an arc of 30 cm and its successive swings reduced to 10% of the previous swings. What is the total distance travelled by the pendulum after 5 swings? This problem is an example of what sequence?
Answer:
[tex]S_g= 33.333cm[/tex]
Step-by-step explanation:
From the question we are told that
Arc of 30 cm
10% reduction after each swing
Generally sum of geometric sequence is given by the equation
[tex]S_g=\frac{a(1-r^n)}{1-r}[/tex]
Mathematically solving for total distance traveled we have
[tex]S_g=\frac{30(1-(0.10^5)}{1-(0.10)}[/tex]
[tex]S_g=\frac{30}{0.9}[/tex]
Therefore the total distance traveled by the pendulum after 5 swings
[tex]S_g= 33.333cm[/tex]
2 sides of a triangle have measures of 5 inches and 11 inches which measure could be the length of the third side
Answer:
the third side must be greater than 6 but less than 16
Step-by-step explanation:
use triangle inequality theorem - 3 scenarios (one of which is discounted because it produces a negative and a side of a triangle cannot be negative)
5 + 11 > 3rd side (n) n < 16
5 + n > 11 n > 6
11 + n > 5; n > -6 discounted
19) Find the acros F(x) = x4 + 8x? -
Answer:
F'(x)=4x3+16x
Step-by-step explanation:
Alright here is the next question
Answer:
Formula: length x width
Area: 51 km
Step-by-step explanation:
Area: length x width
Area: 17 x 3 = 51
Answer:
For the forumula its Area= LW (Length and width)
A= 51km
If you are trying to find the perimeter, it should be 40.
PLS! ANSWER ASAP!!! 45 POINTS!
Answer:
3. is 5
4. is 18
5. is 8
Step-by-step explanation:
i did try so forgive me if im wrong
Which of the following best describes the graph below?
Answer:
The correct option is;
A. It is a one-to-one function
Step-by-step explanation:
A function f(x), is a one to one function when each value in the range is given by each unique value in the domain such that each "x" value produces a unique "y" value.
The given graph has a domain of -2 ≤ x < ∞
Within the domain plotted in the graph, all lines with equation "x" = -2, -1, 0..., 4, 5 crosses the graph only once, therefore, for each value of "x", there is only one value of "y", which gives the relationship between the "x" and "y" values as one to one function
What’s the solution for 2x =8
Answer:
4
Step-by-step explanation:
2x = 8
x = 4
Answer: x=4
Step-by-step explanation:
2x = 8
x = 8/2
x = 4
Check: 2(4)=8
PLS PLS HELP ME I WILL GIVE BRAINLIST AND SO MANY POINTS PLS HELP ME
Answer:
Both are circle equations. One is for area, one is for circumference.
Step-by-step explanation:
Both are circle equations. One is for area, one is for circumference.
what is the ordered pair to y=7x-2
hi
i made u scroll
ur
going
to
get
31 points
Answer:
Thanks for free points have a nice day :)
4(46 + 3) + 2b = 3 (6 - 11)
Answer:
[tex]4(46 + 3) + 2b = 3(6 - 11) \\ 184 + 12 + 2b = 18 - 33 \\ 196 + 2b = - 15 \\ 2b = - 15 - 196 \\ \frac{2b}{2} = \frac{ - 211}{2} \\ b = - 105.5[/tex]
The double number line shows how far a hummingbird can fly in 1 second -
Complete the table to show the same information as the double number line
Answer:
1
3
130
Step-by-step explanation:
as shown on the lines, it takes the bird one second to fly 13 meters. the answer to the first blank is 1
using this ratio, 13 meters per second, we can find how long it takes for the bird to fly 39 meters.
13/1=39/x
this is 13x=39
x=3 seconds
use the same ratio to find distance
13/1=x/10
13=x/10
130=x
there is 1 person he has a friend how do you add him on brainly and how many people are there in total?
A line with a slope of 1/3 passes through (-5,r) and (4,1).
To make this work correctly, the value of r=
Answer: Add the 1/3 to look for the r
James drove to the lake and back the trip there took four hours and the trip back took six hours he average 20 mph faster on the trip there on on the return tip find Jameses average speed on the trip
Answer: 60 mph
Step-by-step explanation:
Question wants the speed to the lake.
It took James 4 hours to get to the lake and he drove at a speed 20 mph faster than when he came back.
It took him 6 hours to come back.
Assuming the speed James used on the return trip is x:
Expression for distance is:
4(x + 20) = 6x
4x + 80 = 6x
2x = 80
x = 80/2
x = 40 mph
Speed to the lake = 40 + 20
= 60 mph
A mouse ran a 360 centimeters course in 9 seconds , how fast did it run ?
Answer:
r=d/t
r=360 cm / 9 sec= 40 cm per second
Hope that helps :)
Answer:
40 centimeters per second.
Step-by-step explanation:
360 divided by 9= 40
ChIcKeN nUgGeTs :>
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What do we call a number that when we squared the result is negative?
Answer:
imaginary numbera
Step-by-step explanation:
Result of every natural number is positive and for imaginary number sqaure result positive .
plz answer only if correct!!
How do we find the area of a rectangle ?
Answer:
Length multiplied by the width
Step-by-step explanation:
Answer:
To find the area of a rectangle, we multiply the length of the rectangle by the width of the rectangle.
what is 8 x 23
+ 6
3 + 2
Answer:
8x23 +6+3+2 = 195
Step-by-step explanation:
used PEMDAS <3 hope this helps
Maribel sold 20% of the cupcakes she made. If she sold 35 cupcakes, then she made how many
cupcakes in all.
Answer:
20% x 5= 100%
35 x 5= 175
she has a total of 175 cupcakes
At Grab & Go Grocery, you can buy 4 yogurt cups for $5. If the unit price stays the same, how much would it cost to buy 10 yogurt cups?
Answer:
12.50
Step-by-step explanation:
Each yogurt is $1.25. 1.25 x 4 = 5. so 1.25 x 10 = 12.50.
b) 7+2x/3 =5
helppppp
Answer:
4
Step-by-step explanation:
7+2x/3=5
7+2x. = 15
2x. =8
x. = 4
i hope it is helpful
Answer:
[tex] \frac{3x + 4}{2} = 9.5 \\ 3x + 4 = 19 \\ 3x = 15 \\ \boxed{x = 5}[/tex]
[tex] \frac{7 + 2x}{3} = 15 \\ 2x + 7 = 45 \\ 2x = 38 \\ \boxed{x = 19}[/tex]
a bus traveled for 540 miles in 12 hours. was it traveling at a faster or slower rate than the car? show your work to explain
Answer:
It is at 45. So you need to determine is it faster of slower. You didn't put the whole question.
Step-by-step explanation:
helpppp!! right answer only pleaseee
Answer:
linear equation
Step-by-step explanation:
it's the only one that matches the description :)
