[tex]\bf \textit{Amount of Population Decay} \\\\ A=Pe^{-rt}\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{initial amount}\dotfill &40000\\ r=rate\to 3.1\%\to \frac{3.1}{100}\dotfill &0.031\\ t=\textit{elapsed time}\dotfill &4\\ \end{cases} \\\\\\ A=4000e^{-0.031(4)}\implies A=40000e^{-0.124}\implies A=\cfrac{4000}{e^{0.124}} \\\\\\ A\approx 35335.194\implies \stackrel{\textit{rounded up}}{A\approx 35335}[/tex]
Amount of population Decay A= Pe^-re
A= accumulated amount
P= initial amount =40000
r=rate ⇒3.1% ⇒ 3.1/100. ⇒0.031
t = elapsed time ⇒ 4
A=40000e ^0.031(4) ⇒A=40000 ^0.124⇒A=40000/e^0.124
A ≈35335.194 ⇒ A ≈ 35335.(rounded up
What is called population?The population means is nothing but the average of this group of items. It is basically arithmetic mean of the group and can be calculated by taking a sum of all the data points and then dividing it by the number of items we have in the group.
What is called population?A population is defined as a group of individuals of the same species living and interbreeding within a given area. Members of a population often rely on the same resources, are subject to similar environmental constraints, and depend on the availability of other members to persist over time.
What is population and its example?Population is the number of people or animals in a particular place. An example of population is over eight million people living in New York City.
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Amy is putting a new floor in her bathroom. She created a scale drawing of her bathroom floor using a scale of 1/2 inch = 1 foot. In the drawing, the bathroom measures 3 inches by 3 1/2 inches. Amy is purchasing square tiles that measure
1/2 foot on each side. The cost of each tile is $3.00. How much will Amy pay for the tiles for her bathroom floor?
Answer:
$78.00
Step-by-step explanation:
First, you would have to figure out how many tiles she would need. 3 inches is equal to 6 feet according to the scale part, and then it would be 12 tiles because it is half a foot for the tiles. Then 3 1/2 would be 7 feet, and then 14 tiles. 12 plus 14 equals 26, and 26 times $3.00 is $78.00
Amy will pay $3.00 for the tiles for her bathroom floor.
What is Fraction?A fraction represents a part of a whole.
The scale is 1/2 inch = 1 foot.
Length of bathroom = 3 inches × (1 foot / 24 inches)
= 1/8 feet
Width of bathroom = [tex]3\frac{1}{2}[/tex] inches(1 foot / 24 inches)
= 7/24 feet
We need to calculate the total area of the bathroom floor in square feet:
Area of bathroom floor = (length) x (width)
= (1/8 feet) x (7/24 feet)
= 7/192 square feet
Since each tile measures 1/2 foot on each side, the area of each tile is:
Area of one tile = (1/2 feet) x (1/2 feet) = 1/4 square feet
Total area of tiles needed = (area of bathroom floor) / (area of one tile)
= (7/192 square feet) / (1/4 square feet)
= 7/48 tiles
Amy will need to purchase 1 tile at a cost of $3.00 per tile, so the total cost of the tiles for her bathroom floor will be:
Total cost = (number of tiles) x (cost per tile)
= 1 tile x $3.00/tile = $3.00
Hence, Amy will pay $3.00 for the tiles for her bathroom floor.
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a car made a 60 mile trip at an average speed of 20 mph. On the return trip, the car's average speed was 30 mph. What was the average speed of the car car for the entire two-way trip?
Answer:
The average speed of the car is [tex]s = 24\ mph[/tex]
Step-by-step explanation:
The average speed is defined as
[tex]s = \frac{d_1}{t}[/tex]
Where
s is the speed
d is the displacement made
t is the time it took to perform the displacement d.
On the first trip the speed was 20 mph and the displacement was 60 miles. Then we find the time [tex]t_1[/tex]
[tex]s = \frac{d}{t}[/tex]
[tex]t_1 = \frac{d_1}{s}\\\\t_1 = \frac{60}{20}\\\\t_1 = 3\ h[/tex]
On the second trip the speed was 30 mph and the distance traveled was the same: 60mph
We calculate [tex]t_2[/tex].
[tex]t_2 = \frac{60}{30}\\\\t_2 = 2\ h[/tex].
Now we can calculate the average speed for the entire route
[tex]s = \frac{d_1 + d_2}{t_1 + t_2}\\\\s = 60 +\frac{60}{3} +2\\\\s = \frac{120}{4}\\\\s = 24\ mph[/tex]
Answer:
Speed = 24 mph
Step-by-step explanation:
Distance traveled in the two way trip
2*(60 miles) = 120 miles
Time it took to arrive to the destination (first travel, 60 miles, 20mph)
Speed = distance/ time
t = distance/ speed = (60 miles) / (20 mph) = 3 hours
Time it took to come back (return travel, 60 miles, 30 mph)
t = (60 miles) / (30 mph) = 2 hours
Total time = (3 +2) hours = 5 hours
So the average speed is
Speed = (120 miles) / (5 hours) = 24 mph
A club rent a bus for a trip the cost c in dollars that each person pays to cover the cost of the bus varies inversely with the number of people p who go on the trip it will cost $30 per person if 50 people go on the trip how much will it cost per person and 40 people go on the trip.
Answer:
[tex]c=\$37.5[/tex]
Step-by-step explanation:
we know that
A relationship between two variables, x, and y, represent an inverse variation if it can be expressed in the form [tex]y*x=k[/tex] or [tex]y=k/x[/tex]
In this problem we have
[tex]c*p=k[/tex]
step 1
Find the value of the constant k
For [tex]c=30, p=50[/tex]
substitute
[tex]k=30*50=1,500[/tex]
the equation is
[tex]c*p=1,500[/tex]
step 2
Find the value of c for [tex]p=40[/tex]
substitute in the equation and solve for c
[tex]c*(40)=1,500[/tex]
[tex]c=\$37.5[/tex]
A triangular pyramid has a height of 27 yards and a base with an area of 210 square yards.
What is the volume of the pyramid?
Answer:
1890 yd³
Step-by-step explanation:
V = ½Ah
= ½ × 210 × 27
= 1890 yd³
The volume of the pyramid is 1890 yd³.
How to solver this problem
Answer:
9000
Step-by-step explanation:
multiply all of it....if i am wrong then i truly apologize
Translate the algebraic expression 7(8j+4+9j) to a verbal expression.
Seven times the value of eight j plus four plus nine j
A and B are independent events. P(A)=0.60 and P(B)=0.30
what is P(A and B)
Answer:
0.18
Step-by-step explanation:
This is a very simple problem that can be solved with a simple formula.
When there are two independent events A and B, the formula is:
P(A and B) = P(A) * P(B)
So we just need to multiply P(A) and P(B) to get P(A and B).
Thus,
P(A and B) = P(A) * P(B) = 0.60 * 0.30 = 0.18
Answer:
P (A and B) = 0.18
Step-by-step explanation:
We are given that A and B are independent events which means that occurrence of one event does not have any impact on the other event.
Given that P(A)=0.60 and P(B)=0.30, we are to find the probability P(A and B).
To find this, we just simply need to multiply the probabilities of the two events.
P (A and B) = 0.60 × 0.30 = 0.18
I need help with the Pythagorean theorem
Answer:
9.4 inches
Step-by-step explanation:
The distance between the opposite corners is the diagonal.
We can find this using the Pythagorean theorem. The diagonal is the hypotenuse.
a^2 +b^2 = c^2
8^2 +5*2 = c^2
64+25 = c^2
89=c^2
Take the square root of each side
sqrt(89) = sqrt(c^2)
sqrt(89) = c
9.433981132=c
Rounding to the nearest tenth
9.4 inches = c
What is the solution to this inequality x-8>-3
Move all terms not containing x to the right side of the inequality.
Answer: x > 5
five less than the product of 9 and a number equals 3
use the varaible x for unknown number.
answer is: 9x - 5 = 3
x = 2.5 5y + 2x = -10
Answer:
y = -3, x = 2.5
Step-by-step explanation:
5y + 2x = -10 if x = 2.5
5y + 2(2.5) = -10
5y + 5 = -10
5y = -15
y=-3
A single die is rolled twice. Find the probability of rolling a 5 the first time and a 2 the second time.
Answer:
= 1/36
Step-by-step explanation:
The probability of roiling a 5 is 1/6, while,
that of rolling a 3 is 1/6
Therefore;
The probability of having a 5 the first time and a 3 the second time will be the product of the probability of having a 5 and the probability of having a 3.
= 1/6 × 1/6
= 1/36
Answer:
The correct answer is 1/36
Step-by-step explanation:
It is given that, single die is rolled twice
The sample space consists of,
(1, 1), (1, 2) ....... (1, 6)
.
.
(6, 1) ............. (6, 2)
Total = 36
To find probability
The possible outcome is (5, 2)
The probability of rolling a 5 the first time and a 2 the second time = 1/36
the correct answer is 1/36
In a field, Raja, Mary, and Miguel are standing in the shape of a triangle. Raja is 128 feet from Mary and Mary is 143 feet from Miguel. Which of the following is a possible distance between Raja and Miguel?
I think the possible distance between them is 153 feet because 128 feet is the smallest so it would be the bottom, 143 feet and 153 feet would be the sides because they are the closest in size.
Answer:
The possible distance between them is 153 feet because 128 feet is the smallest so it would be the bottom, 143 feet and 153 feet would be the sides because they are the closest in size.
Step-by-step explanation:
The person who answered this is correct, also, please mark me brainliest, i took the test and got 100% hope this helps:)
Can you plz help me i need the anwser will give brainliest
Answer:
well you got the answer correct
Step-by-step explanation:
find the area
first 14+7+5+5
next add the total by 36
finally you'll get the answer
Answer:
36 + total =
Explain why vertical angles cannot be adjacent angles?
Adjaadjacent angles are angles that are the vertex but vertical angles are lines that cross each other.
What is the total amount paid for a bill of $83.97 with a gratuity of 20%? (Round to the nearest cent.)
Answer:
Tip Amount: $ 17
Tip Each Person: $ 17
Bill Each Person: $ 84
Total (Bill + Tip): $ 101
Total Each Person: $ 101
Step-by-step explanation:
How many triangles exist with the given angle measures?
30, 65, 85
A. No triangle exists
B. More than one unique triangle exists
Because triangles also equal a total of 180 degrees, the answer is B
The triangles exist with the given angle measures should be option b.
The following information should be considered;
Since the angle measures are 30,65 and 85Also the total of triangle is 180.Therefore there should be more than 1 unique triangle that is existed.learn more: https://brainly.com/question/4626564?referrer=searchResults
c3=27
(type an integer or a simplified fraction.)
Answer:
c=3
Step-by-step explanation:
c^3 =27
Take the cube root of each side
(c^3) ^ 1/3 = 27 ^ 1/3
c = 3
We know that 3*3*3 = 27
Consider the equation y= kx where y= 7.5 and x=3. Which value represents k?
Answer Choices:
A) k= 22.5
B) k= 4.5
C) k= 0.4
D) k= 2.5
[tex]y = kx\\ \frac{y}{x} = k \\ \frac{7.5}{3} = 2.5[/tex]
the answer is D) k=2.5
the answer is D) k=2.5
Jaclyn gets a hit 40% of the time while playing softball. She is going to use colored tiles to simulate her chances of getting a hit. Green tiles will represent hits, while red tiles will represent times Jaclyn does not get a hit. She will place the tiles in a bag, and then draw the tiles from the bag one at a time. Jaclyn places 12 green tiles in a bag. How many red tiles should she place in the bag?
Answer:
18 red tiles
Step-by-step explanation:
One way to look at this problem would be to take the number of tiles that Jaclyn used to get a possibility of 40% hits.
Jaclyn put 12 green tiles, this represents the 40% of the hits that she could get.
Now we know that 12 = 40%
We need to find how many red tiles she should put to still keep the 12 green tiles as 40%. We can also assume that 12 red tiles would be another 40%.
So we have 12 red tiles currently.
Now we still have another 20% left.
Since 12 red tiles = 40%, we can assume that:
6 red tiles = 20% of the total.
So if we add both the 40% red tiles to the 20% red tiles we get:
12 + 6 = 18 red tiles.
So Jaclyn will have to put 18 red tiles and 12 green tiles to simulate her chances of getting a hit.
enter the missing numbers in the boxes to complete the table of equivalent ratios of lengths to widths
Answer:
Length (cm) Width (cm)
6 18
8 24
10 30
12 36
Step-by-step explanation:
Length (cm) Width (cm)
6 (x3) 18
8 (x3) 24
10 (x3) 30
12 (x3) 36
Solve the equation.
37 – 18 + 8w = 67
Answer:
6
Step-by-step explanation:
37 – 18 + 8w = 67
(37-18)+8W=67
19+8W=67
8W=67-19
=48
W=48/8
=6
Answer:
6
Step-by-step explanation:
[tex]37-18+8w=67\\19+8w=67\\19-19+8w= 67-19\\8w=48\\8w/8=48/8\\w= 6[/tex]
Which side lengths form a right triangle
Answer:
b
8+3^2=17 ..
Answer:
B
Step-by-step explanation:
Please, please try to understand the concept before turning to here.
TO REITERATE YET AGAIN, use the Pythagorean Theorem.
a^2+b^2=c^2.
If this equation checks out, it is a right triangle.
Someone knows the answer for this ?
Answer:
Option B.
Step-by-step explanation:
Each summation symbol tells you to add terms. The terms are obtained by replacing n in the expression with the integers 1, 2, 3, 4, 5, and 6.
Let's look at option A:
The expression is 2(2)^n.
Replacing n with 1, 2, ..., 6 gives us these terms, which are added:
2(2)^1, 2(2)^2, 2(2)^3, 2(2)^4, 2(2)^5, 2(2)^6
The terms above simplify to:
4, 8, 16, 32, 64, 128
Clearly these are not the terms in the series you are given, so option A is not the answer.
Let's now look at option B:
Replacing n in 2n with 1, 2, 3, ..., 6 gives us:
2(1), 2(2), 2(3), 2(4), 2(5), 2(6) which simplifies to 2, 4, 6, 8, 10, 12.
Since it's a summation, you add the terms above to get
2 + 4 + 6 + 8 + 10 + 12
Option B is the answer.
Jayden places a rectangular doormat in front of his door. The doormat has an area of [tex]\frac{1}{3}[/tex] square foot and a width of [tex]\frac{1}{2}[/tex] foot. What is its length?
Answer:
2/3 or 0.6667
Step-by-step explanation:
L (length) = A/W (area/width)
L = 1/3 / 1/2
1/3 * 2/1 = 2/3
a car is 15 ft long and 6 feet wide it is parked on a rectangular driveway with an area of 112 sqaure feet how much of the driveway is mot cover hy the car?
Answer:
22 sqft.
Step-by-step explanation:
Calculate the area of the car: (15*6)=90
Subtract the area of the car from the area of the driveway to find the area leftover: 112-90=22 sq ft not covered.
The length of a rectangle is shown below:
If the area of the rectangle to be drawn is 10 square units, where should points C and D be located, if they lie vertically below the line that connects B and A, to make this rectangle?
C(-1, 1), D(1,1)
C(-1, -2), D(1,-2)
C(-1, 5), D(1, 5)
C(-1, -7), D(1, -7)
Answer: Second option.
Step-by-step explanation:
As you can see in the graph attached, the lenght of the side AB is 2 units.
The formula for calculate the area of rectangle is:
[tex]A=l*w[/tex]
Where l is the length and w is the width.
Therefore, if the area of the rectangle to be drawn is 10 square units and you know AB=2 units and CD lies vertically below BA , then you can solve for the length:
[tex](10units^2)=(2units)l\\l=5units[/tex]
Therefore C and D are located at:
[tex]C=B(-1, 3-5)=> C(-1,-2)[/tex]
[tex]D=A(1, 3-5)=> D(1,-2)[/tex]
Answer:
The correct answer is,
Option 2). C(-1, -2), D(1,-2)
Step-by-step explanation:
It is given that,If the area of the rectangle to be drawn is 10 square units
To find the length of rectangle
From the figure we get length of AB = 2 units
Therefore Area = length * breadth = 10
Therefore length = 10/2 = 5 units
To find the points of C and D
we have B(-1, 3)
The point C is 5 units below the point B
Therefore C(-1, 3-5) = C(-1,-2)
we have A(1, 3)
The point D is 5 units below the point B
Therefore D(1, 3-5) = A(1,-2)
Therefore the correct answer is option 2
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I can’t read the small sticky notes take a closer picture
Suppose Avery bought cheese to make grilled cheese sandwiches. The cheese comes in a pack of 32 slices. Avery uses 75 percent of the pack for the sandwiches. She eats 25 percent of the remaining cheese. How many slices of cheese are left?
20 points for answering my question!
Answer:
6 Slices Of Cheese Remaining
Step-by-step explanation:
50% of the cheese is 16 slices, so add on 50% + 25% and you get 24 slices...
if you do 32-24 you have 8 slices remaining and if you eat 25% of the 8 slices you have 6 slices left.
The graph of the function f(x) = (x + 6)(x + 2) is shown. Which statements describe the graph? Check all that apply.
The image represent the graph of the function.
//Hope it helps.
Answer:
The axis of symmetry is x = –4.
The domain is all real numbers.
The function is negative over (–6, –2).
or BCE
Step-by-step explanation:
The graph of the function f(x) = (x + 6)(x + 2) is shown. Which statements describe the graph? Check all that apply.
The axis of symmetry is x = –4.
The domain is all real numbers.
The function is negative over (–6, –2).
or BCE