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:
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Geometry
Help plzzzzzzzzzzz
Answer:
SAS
Step-by-step explanation:
It costs $60.00 to rent the gymnasium, plus $5.00 per person. What would be the total cost to rent the gymnasium for 40 people?
Is this correct?
:'(
Answer:
Step-by-step explanation:
There's no pic u might want to repost it again
Answer:
what??????????
...... . . . .
. . .... .... .
Find giving your answer correct to 3 significant fig where necessary a. 60%of 850
Answer:
60% of 850 is 510
Step-by-step explanation:
On a map of the United States, the distance between New York City and Nashville, TN is 2.5 inches. In real life, the distance is 880 miles. What is the scale on the map? (miles/inch) *
Answer: Rounded: 350 miles/inch
Exactly 352 miles per inch.
Step-by-step explanation: Divide the miles by the inches to find miles per inch.
880/2.5 = 352.
It would make sense to round that to say the scale is 350 miles per inch.
One inch represents 350 miles
Bailey brought a twin pack of gum for $2, this is 50 cents less than 2/3 the
cost of a triple pack of gum. What is the price of a triple pack of gum?
Let x represent a twin pack of gum
Let y represent a triple pack of gum
Answer:
$3.75
Step-by-step explanation:
2/3 = $2.50
2.50/2 = 1.25
1.25x3 = 3.75
The price of the triple pack of gum is $3.75.
Calculation of the price:Since Bailey brought a twin pack of gum for $2, this is 50 cents less than 2/3 the cost of a triple pack of gum.
So,
[tex]2\div 3 = \$2.50\\\\2.50\div 2 = 1.25\\\\1.25\times 3 = 3.75[/tex]
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Find the missing angle
Answer: 137degrees
Step-by-step explanation:
So we know that a complete angel has 360 degrees within. So in this case, all we need to do is use 360 and subtract 167 and 56 from it.
360-167-56= 137
Hey there!
The answer is 109
We can see that both angles make 167, so 167 - 56 = 109 is remaining angle
Guys I need help will mark brainliest
Answer:
mean= sum of the terms/ (over) number of terms
2. This graph shows the solution for which inequality below?
10 20 30 40 50 60 70
80 90 100
A. = 25
B. 3x < 150
c x<10
D. 2x > 100
2
(A) A
в) В
( c) С
D
Answer:
the aswer would be B because x<50 therefor the highst posible value for x is 49 and 3x49 is 147 which is less than 150
Can someone help with this I’ll probably give you brainliest. It is due at 11:59 pm January 21st
Answer:
1. x^2-5
2. 13x+3
3. Add −5 and 3
2x−13x-2
hope this helps!!:)
Step-by-step explanation:
You go to the mall and your mom gives you $60 to spend on back to school clothes. There is a shirt you want for $80, but it is 25% off. Will you have enough money?
Answer:
yes you will
Step-by-step explanation:
25% off of 80 is 60
Ben is a farmer. He used 518 pounds of fertilizer on 16 acres.
How many pounds of fertilizer does Ben use per acre?
Answer:
32.375 or 32 with a remainder of 3
Step-by-step explanation:
Which inequalities correctly show the relationship between the numbers 13, −4, and −17?
Answer:
13 > -17 < -4
Step-by-step explanation
13 = postive number
-17 and -4 = negtive.
13 is greater than -17
Since negtive is oppistie of postive it goes backwards.
So -4 is greater than -17
(Im new to this so Im not sure if it is correct)
Help please it would mean a lot
Answer:
A
Step-by-step explanation:
At 4 hours they will both cost 450, anything more than that and A will be cheaper
plzzzzzzzzzzzzzzzzzzzzzzzzzzz
6 Answer:
2
−
−
1
2
Step-by-step explanation:
What expression is equivalent to that, pleas give me a simple easy answer
Answer:
Every day for four years, I would drive to my job, and every day at the same time, on the same route, I would notice the city bus. It would pull up next to me, and I would see all the people on board. Some would be reading. Some would be sleeping. Some would stare back at me. Every day, at the same time, it would follow me right to work. As I pulled into my parking space at work, I would see it around the corner, about a block away from my job. Then, one day, my car broke down. I had no way to get to work, and then, I remembered the bus. I decided to take it since I knew it was on the same schedule as I was. Since then, I have never driven to work again. Taking the bus is a useful method with which to travel because you can save a lot of money by using public transportation. One reason public transportation is useful is because it saves money. My commute to work was long, and it required a lot of gas. When I drove to work, I was spending $30 a week on gas. There are 52 weeks in a year. That translates to $1,560.00 a year I was spending on gas to get to work. When I started taking the bus, it cost $2 ($1 to get to work and another $1 to get home). Another way to save money is to use the toll road. That translates to $10 a week. That means that it cost me $520 a year to get to work. That's less than a third of what it cost to drive. It saved me $1,040.00. The funny part is that the reason my car broke down in the first place was because I was driving it constantly. 6 What is the central idea of this passage?
Question 6 of 10
In a group of 60 students, 14 students take Algebra I, 20 students take
Algebra II, and 7 students take both subjects. How many students don't take
either of these subjects?
A. 28
ОО
B. 19
O
C. 32
D. 33
Choose the correct label for the solution to each system of equations from the drop-down menus.
Answer: left one is no solution and right one is infinite solutions
explanation: the left one the lines don’t touch at all which has no solution and the right one means that both lines are on top of each other
In the first graph, there are ''No solution.''
In the second graph, there are ''Infinitely solution.''
What is Number line?Number line is a horizontal line where numbers are marked at equal intervals one after another form smaller to greater.
Now,
For the first graph;
In this graph we can see that there are two parallel lines.
We know that two parallel lines never intersect.
Therefore, we never get any common coordinate for this.
Thus, This system has ''No solutions.''
For the second graph;
There is a single straight line is given.
We know that each point be the solution of this line and a line contains infinitely many pints.
Thus, it has ''infinitely many solutions.''
Hence, The first graph is shows the ''No solution'' and the second graph is shown the ''infinitely many solutions.''
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This has to be done within a hour, and I’m really stuck
.5
Step-by-step explanation:
graph goes up by .5 between hour 2 and 3
Express the following fraction in simplest
form, only using positive exponents.
(4qh-3)-2
12q8h8
Answer:
Screenshot and post it please
Step-by-step explanation:
Sam rides his bike at a rate of 15 miles per hour. How many feet per minute is this?
a motorboat moves across a lake at a constant speed. when it begins it from the shore. after 9 minitues it is 14 km from the shore. which function decribes the motorboat distance from the shore?
a. y= 4x + 50
b. y= -4x + 50
c. y= 9x + 50
d. y= -9x + 50
Answer:
Answer:
The function describes the motorboat's distance from the shore
Step-by-step explanation:
A motorboat moves across a lake as a constant speed. when it begins, it is 50 km from the shore
After 9 minutes, it is 14 km from the shore.
So, rate of change =
Negative sign shows that there is decrease in distance per minute
The rate of change of distance is 4 km / minutes
General equation : y = mx+c
Where m is the slope and c is the constant
Substitute the values in the equation :
y=-4x+50
Where y is the final distance and x is the minutes
So, Option C is true
Hence The function describes the motorboat's distance from the shore
Step-by-step explanation:
Jones deposits $15,000 in an account that earns 6% interest,
the answer is finish the fxking question nim.wit
In AUVW, mZU = (92 – 8), m_V = (2x + 2)", and m_W = (3x + 4)
Find m2V.
Answer:
[tex]m\angle V=30^\circ[/tex]
Step-by-step explanation:
Angles in a Triangle
The sum of the angles in a triangle is 180°. We are given the measure of all angles in the triangle:
[tex]m\angle U=9x-8[/tex]
[tex]m\angle V=2x+2[/tex]
[tex]m\angle W=3x+4[/tex]
Thus:
9x - 8 + 2x + 2 + 3x + 4 = 180
Simplifying:
13x - 2 = 180
Adding 2:
13x = 182
Dividing by 13:
x = 182/13 = 14
x = 14
Now we calculate:
[tex]m\angle V=2x+2=2*14+2=28+2 =30[/tex]
[tex]\mathbf{m\angle V=30^\circ}[/tex]
prove the circle centered at A la congruent to the circle centered at C.
Answer:
Huh!
The circles with of same radii or same circumference or same area are congruent.
No need to proof!
Step-by-step explanation:
Or just type it,
'Since they have the same radii, they are congruent!'
The two given circles are congruent as their radius are similar.
What is a circle?All points in a plane that are at a specific distance from a specific point, the center, form a circle. In other words, it is the curve that a moving point in a plane draws to keep its distance from a specific point constant.A circle is a closed, two-dimensional object where every point in the plane is equally spaced from a central point. The line of reflection symmetry is formed by all lines that traverse the circle. Additionally, every angle has rotational symmetry around the center.So, the two circles are congruent because:
We know that:
AB = CDAnd AB and CD are the two radius of the given two circles.Since their radius is similar.So, the two circles will be congruent.
Therefore, the two given circles are congruent as their radius are similar.
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Given the equation: 9y + 3x = 30 , what's the y-
intercept? Round to the nearest hundredth.
Answer:
3.3 or 10/3
Step-by-step explanation:
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.
Two sisters, Crystal and Alexa, are going to a strange birthday party. Instead of birthday cake,
pairs of party guests are each served a large chewy fruit worm to share according to their ages.
Since the sisters are not the same age, they do not share their fruit worm equally.
Crystal is 12 years old and Alexa is 6 years old. Their chewy fruit worm has 18 segments.
According to their ages, Crystal gets 12 segments and Alexa gets 6 segments. The ratio of the
girls' shares of the worm, 12 to 6, is equivalent to the ratio of their ages, 12 to 6.
• According to the rule, how would the girls share a 9-segment chewy fruit worm?
Since Crystal's age is two times Alexa's age, Crystal gets twice as many segments as Alexa.
The ratio of Crystal's segments to Alexa's segments is 12 to 6 or 2 to 1.
. The ratio 2 to 1 is a unit rate. What do the numbers 2 and 1 mean for the sisters?
12 to 6
In this Problem you will explore situations that involve fractions and ratios.
can somebody please help me find this answer I will mark brainliest
Answer:
65 degrees
Step-by-step explanation:
The missing angle on the bottom is 35 degrees. This is because it lies on a straight line with the other angle being 145 degrees and a straight line is always 180 degrees, so 180-145=35 degrees. Now we have to find x so we should add the two known angles (35+80=115) and subtract it from 180 (180-115) to get 65 degrees for x.
Brainliest to right answer
Answer:
4,-2
Step-by-step explanation:
The line passes through the Y Axis and slopes 4 and -2.
Answer:
slope = - [tex]\frac{7}{4}[/tex]
Step-by-step explanation:
Calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 3, 4) and (x₂,y₂ ) = (1, - 3) ← 2 points on the line
m = [tex]\frac{-3-4}{1+3}[/tex] = - [tex]\frac{7}{4}[/tex]