Correction
The function is [tex]p(t)=361e^{kt[/tex]
Answer:
k=0.0259
Step-by-step explanation:
The population function is given as: [tex]p(t)=361e^{kt}[/tex]
Where t=0 corresponds to the year 2000.
In 1980, 1980-2000=-20, p(-20)=215
Therefore:
[tex]215=361e^{k*-20}\\$Divide both sides by 361$\\\frac{215}{361}= e^{-20k}\\$Take the natural logarithm of both sides$\\ln(\frac{215}{361})=-20k\\k=ln(\frac{215}{361})\div (-20)\\k=0.0259[/tex]
Answer:
k ≈ 0.44
Step-by-step explanation:
Given the equation
p(t) = 36e^(kt)
In the year 2000, when t = 0, the population
p(0) = 36e^k............(1)
In 1980, when t = -20, the population was 215000
This implies that
215000 = 36e^(-20k)
e^(-20k) = 215000/36
e^(-20k) = 5972.222
Taking natural logarithm of both sides
ln(e^(-20k)) = ln(5972.222)
-20k = 8.695
k = -8.695/20 = 0.435
k ≈ 0.44
Solve the following proportion for y.
3/11 = 10/y
Round your answer to the nearest tenth.
A)What is the greatest common factor (GCF) for 18 and 66?
Show your work.
Answer:
Step-by-step explanation:
18: 1, 2, 3, 6, 9, 18
66:, 1,2,3,6,11,22,33,66
the GCF is 6
La sociedad de ex alumnos de una escuela organizó el año pasado una posada a la que asistieron 420 personas. A la posada de este año asistieron 567: ¿En qué porcentaje aumentó la asistencia?
Answer:
??? english
Step-by-step explanation:
Two variables are always sometimes I never) correlated.
4. In the U.S., from 2004 - 2015, the correlation coefficient for the relationship
between the size of a cell phone data plan, x, and the number of text
messages sent, y, is r = +0.97. Describe the relationship between the data
plan size and the number of text messages sent in the U.S.
Answer:
There is strong positive correlation between the size of a cell phone data plan and the number of text messages sent in the U.S.
Step-by-step explanation:
The correlation coefficient is a statistical degree that computes the strength of the linear relationship amid the relative movements of the two variables (i.e. dependent and independent). The correlation coefficient value ranges from -1 to +1.
Positive correlation is an association amid two variables in which both variables change in the same direction.
A positive correlation occurs when one variable declines as the other variable declines, or one variable escalates while the other escalates.
The closer the the correlation coefficient value gets to +1 or -1, the stronger relation becomes.
The correlation coefficient for the relationship between the size of a cell phone data plan, x, and the number of text messages sent, y, is:
r = +0.97
The correlation coefficient is closer to +1.
Thus, there is strong positive correlation between the size of a cell phone data plan and the number of text messages sent in the U.S.
please help with part b
Answer:
161391
Step-by-step explanation:
138000 x 16.95/100 = 23391
138000 + 23391 = 161391
PLEASE HELP!! thank you
Answer:
100^2
Step-by-step explanation:
I believe it is 100 because one square is 10 times 5 which equals 50 since A=bh. If we multiply 50 times 2 or do the same for the other square and add the two areas together. We got 100^2.
PLZ MARK BRAINLIEST!!!
Find the midpoint of the line segment joining (4, 8) and (–2, –6). A. (2, –2) B. (2, 2) C. (–1, –1) D. (1, 1)
Answer:
D
Step-by-step explanation:
Given endpoints (x₁, y₁ ) and (x₂, y₂ ) then the midpoint is
[ [tex]\frac{1}{2}[/tex](x₁ + x₂ ), [tex]\frac{1}{2}[/tex](y₁ + y₂ ) ]
Thus for the given points
midpoint = [ 0.5(4 - 2), 0.5(8 - 6) ] = (1, 1 ) → D
Graph y=2x on the coordinate graph above. Compare the two lines. Does either line represent a proportional relationship? Explain.
Answer:
IDK the other line.
Step-by-step explanation:
y=2x is a proportional relationship because it has a 1:2 ratio, where as the x increases by one point, the y value will constantly increase by 2 points.
is their any identities like this:( a - b - c)²
PLEASE ANSWER THIS QUESTION I WILL MAKE U AS BRAINLIST JUST SAY YES OR NO
The circumference of a circle is 15.9mm.
Find the length of the radius.
Give your answer rounded to 1 DP.
PLEASE HELP
i will give you brainiest if you can can answer in 3 minutes
Answer:
R = 2.6 mm
Step-by-step explanation:
D = C ÷ π
D = 15.9 ÷ 3.14
D = 5.06
D = 5.1 mm
R = D ÷ 2
R = 5.1 ÷ 2
R = 2.55
R = 2.6 mm
Answer:
r = 2.5 mm
Step-by-step explanation:
The circumference of a circle has the following formula.
circumference = 2πr
where
r = radius
π = 3.14
circumference = 15.9 mm
circumference = 2πr
15.9 = 2 × 3.14 × r
15.9 = 6.28 r
divide both sides by 6.28
r = 15.9/6.28
r = 2.53184713376
Rounding to 1 decimal place
r = 2.5 mm
Give two original examples of finite set.
Answer:
The set of all persons in America is a finite set.
The set of all birds in California is a finite set.
Step-by-step explanation: hope those help
combine the like terms to simplify the expression 2x+3y-5x+4y-8z
Answer:
7y-3x-8z
Step-by-step explanation:
(3y+4y)+(2x-5x)-8z
7y+(2x-5x)-8z
7y-3x-8z
Please help!
Jamal deposited $4,253 in a savings account earning 1% interest, compounded annually.
To the nearest cent, how much will he have in 4 years?
Use the formula B = p(1 + r)t, where B is the balance (final amount), p is the principal (starting amount), r is the interest rate expressed as a decimal, and t is the time in years.
Answer:
$ 4,425.69
Step-by-step explanation:
A = $ 4,425.69
A = P + I where
P (principal) = $ 4,253.00
I (interest) = $ 172.69
what is the answer to 23.5% of 120?
Answer: the answer is
Step-by-step explanation:
Answer:
2791.8
Step-by-step explanation:
23.5×120=2820
2820÷100=28.2
2820-28.2=2791.8
a man walks around a field once.
a runner runs around the field 6 times in the same time
the walker walks at 3m/s
calculate the speed of the runner.
Answer:
I hope it's correct.
Step-by-step explanation:
1 time=3m/s
6times(the runner is faster)
It will be, 6/1×3=18m/s
A sandwich shop is ordering apples and grapes to make chicken salad.Apples cost $2.19 per pound and grapes cost $2.60 per pound. If they ordered a total of 20 pounds of apples and grapes and pair $35.80. How many pounds of grapes did they order?
Answer:
Grapes=19.51
Step-by-step explanation:
Apples=$2.19 per pound
Grapes=$2.60 per pound
Apples+Grapes=20 pounds
A+G=20
A=20-G
Equation is
PaA+PgG=35.80
2.19A+2.60G=35.80
2.19(20-G)+2.60G=35.80
43.8-2.19G+2.60G=35.80
43.8-0.41G=35.80
-0.41G=35.80-43.8
-0.41G=-8
Divide both sides by 0.41
G=19.51 pounds
Recall
A=20-G
A=20-19.51
A=0.49 pounds
They ordered 19.51 pounds of grapes.
let us say they ordered 'x' pound of grapes.
so, the quantity of apples ordered = (20-x) pound
it is given that
cost of the apple= $2.19 per pound
cost of the grapes= $2.60 per pound
according to the given scenario,
total cost = $35.80
What will be the total cost?the total cost will be the sum of the cost of apples as well as grapes.
2.60x + 2.19(20-x) =35.80
-0.41x = 8
x = -19.51 pounds
therefore, they ordered 19.51 pounds of grapes.
to get more about word problems refer to the link,
https://brainly.com/question/13818690
Em uma caixa há 11 bolas vermelhas e 7 azuis. Ao escolher 4 bolas aleatoriamente, qual a probabilidade de serem todas vermelhas? (A) 1 7 . (B) 7 102. (C) 11 102. (D) 7 18 (E) 11 18
Answer: C. 11/102
Step-by-step explanation:
Given Data:
Red ball = 11
Blue ball = 7
Total no of balls = 18
What is the probability that choosing 4 balls all are red.
1. Probability of picking a red ball
= 11/18
2. Probability of picking a blue ball
= 7/18
3. Probability of picking 4 red balls in a roll.
= 11/ 18 * 10/17 * 916 * 8/15
= 11/102
Or
10.8% chance of all 4 balls being red.
what are 2 binomials that are factors of this trinomial? x^2-x-20
Answer:
(x-5) (x+4)
Step-by-step explanation:
x^2-x-20
What two terms multiply to -20 and add to -1
-5*4 = -20
-5+4 = -1
(x-5) (x+4)
Answer:
( x - 5 )( x + 4 )
Step-by-step explanation:
Everything thanksss.
Answer:
433
Step-by-step explanation:
Break apart into 3 hundreds, 1 ten, and 2 ones.
745 - 300 = 445
445 - 10 = 435
435 - 2 = 433
Answer:
[3] [2] [300] [445] [445] [435] [435] [2] [433]
Step-by-step explanation:
3 hundreds 1 ten 2 ones
745-300 = 445
445 -10 = 435
435 -2 = 433
The volunteers at the animal shelter are drawing slips of paper from a hat to determine which day each volunteer will clean the litter boxes. When it is Odessa's turn to pull from the hat, there are 2 Wednesday slips, 8 Thursday slips, and 6 Friday slips remaining. What is the probability that Odessa will randomly draw a Wednesday slip?
Answer:
1 / 8
Step-by-step explanation:
There are 2 + 8 + 6 slips in total
There are 2 Wednesday slips.
2 / 16 = 1 / 8
What is the volume of each cube?
a) 10 cm
b) 8.5 cm
Answer:
a) V = 1000 cm³
b) V = 614.125 cm³
Step-by-step explanation:
a) side length a = 10 cm
face diagonal f = 14.142135623731 cm
solid diagonal d = 17.320508075689 cm
surface area S = 600 cm²
volume V = 1000 cm³
___________________________
b) side length a = 8.5 cm
face diagonal f = 12.020815280171 cm
solid diagonal d = 14.722431864335 cm
surface area S = 433.5 cm²
volume V = 614.125 cm³
_____________________________
Formula: V=a³
A number is chosen at random from 1 to 10. Find the probability of selecting a 6 or greater.
Answer:
1/2
Step-by-step explanation:
p(event) = (number of desired outcomes)/(total number of outcomes)
How many different outcomes are there? You can choose 1, 2, 3, 4, 5, 6, 7, 8, 9, or 10, so the total number of possible outcomes is 10.
How many outcomes are desired. The desired outcomes are any outcomes with a number 6 or higher. Which numbers are 6 or higher? 6, 7, 8, 9, 10. There are 5 outcomes that are 6 or higher, so there are 5 desired outcomes.
p(event) = (number of desired outcomes)/(total number of outcomes)
p(event) = 5/10 = 1/2
Answer: 1/2
PLEASEEE ANSWER I NEED HELP NOW!!!!
Find the probability of
1: choosing a yellow marble from a bag that contains 6 yellow marbles and 8 red marbles,
and
2: flipping a coin and it showing heads.
Answer:
1: [tex]\frac{6}{14}[/tex]
2: [tex]\frac{1}{2}[/tex]
Step-by-step explanation:
1: the number of yellow marbles is 6
the number of marbles in the bag is 14
the probability of yellow marbles out of the bag is
number of yellow marbles over number of marbles in the bag
2: there are only two sides
one head and one tail
head over tail is [tex]\frac{1}{2}[/tex]
-4-2/3x= -6 by adding 4 to both sides
Answer:
Yes
Step-by-step explanation:
You have to add 4 on both sides to get X by itself. Then, you solve for X by multiplying the Denominator.
Find GH.
picture is attached
Answer: 4.6
Step-by-step explanation:
GH is equal to 4.6 since it is congruent to JH. GJ is one line, which makes angles GKH and JKH supplementary angles. Since angle GKH = 90, angle JKH must also equal 90, making these triangles similar. However, if you wish to see it done out mathematically, the following explanation is there:
[tex]a^{2} + b^{2} = c^{2}[/tex]
3.6^2 + HK^2 = 4.6^2
HK^2 = 4.6^2 - 3.6^2
HK^2 = 8.2
HK = 2.86
HK^2 + GK^2 = GH^2
8.2 + 12.96 = GH^2
GH = 4.6
the slope of the line below is - 5/7. write the point-slope equation of the line using the coordinates of the labeled point.
Answer:
[tex]y -2=\frac{-5}{7} (x-6)[/tex]
Step-by-step explanation:
Point-slope : [tex]y-y_1=m(x-x_1)[/tex]
m = slope [tex](\frac{-5}{7} )[/tex]
[tex]y_1 = 2\\x_1 = 6[/tex]
[tex]y -2=\frac{-5}{7} (x-6)[/tex]
A contractor bought 8.2 ftsquared of sheet metal. She has used 3.5 ftsquared so far and has $141 worth of sheet metal remaining. The equation 8.2xminus3.5xequals141 represents how much sheet metal is remaining and the cost of the remaining amount. How much does sheet metal cost per square foot?
Answer:
The cost of a sheet metal per square foot is $30
Step-by-step explanation:
Given
Size of Sheet Metal = 8.2ft squared
Used Sheet Metal = 3.5ft squared
Worth of leftover sheet = $141
Equation: [tex]8.2x - 3.5x = 141[/tex]
Required
Find the cost per square foot of the sheet metal
Solving for x in the above equation will give the cost per square foot of the sheet metal.
[tex]8.2x - 3.5x = 141[/tex]
[tex]4.7x = 141[/tex]
Divide both sides by 4.7
[tex]\frac{4.7x}{4.7} = \frac{141}{4.7}[/tex]
[tex]x = \frac{141}{4.7}[/tex]
[tex]x = 30[/tex]
Hence, the cost of a sheet metal per square foot is $30
Mr. Whittaker’s science class uses tide gauges to measure annual variations in water levels at different parts of a river, and then compares those variations to the average annual trend.
Matea recorded that the water level in one part of the river fell 1.05 millimeters per year for 2.48 years.
Which number represents the rate at which the water level fell? -1.05mm/year
Which number should the rate be multiplied by to find the total variation in water level?
2.48 years
that's the correct answer ^
This data will be compared to the average annual trend, which shows the water level rising 1.8 mm/year.
Which number represents the rate at which the water level fell?
Which number should the rate be multiplied by to find the total variation in water level?
Answer:
a) Which number represents the rate at which the water level fell? -1.05mm/year
b) Which number should the rate be multiplied by to find the total variation in water level?
2.48 years
Step-by-step explanation:
Total variation in water level is calculated as the rate at which the water level fell multiplied by number of years are which the water level fell.
Mathematically = Rate at which the water level fell(mm/year) × number of years are which the water level fell (years).
Total variation in water levels can be caused by changes in climate conditions or by human activity.
Hence, for the question above,
rate at which the water level fell is
given as -1.05mm/year and the number that the rate be multiplied by to find the total variation in water level is 2.48 years.
Answer:
Which number represents the rate at which the water level fell?
✔ -1.05 mm/year
Which number should the rate be multiplied by to find the total variation in water level?
✔ 2.48 years
Step-by-step explanation:
I did it on edg and got it right
can I have some brainiest
I need help with this question like the answer please help
It started at 1.85, it grew x, the result was 5.30. That's
Answer: 1.85 + x = 5.30 third choice
Find the missing height, when you know the area of the rectangle 9+9+?+?=126
Answer:
54
Step-by-step explanation:
First take
9 + 9 = 18
Then,
126 - 18 = 108
Then,
108 / 2 = 54
Which is the height
Hope this helps you. :)
Have a good day!
This formula counts for both height and width when you have the area.