Answer:
As the volume approaches 0,
The density approaches infinity
Step-by-step explanation:
The graph of the equation is a hyperbola with the asymptote at v = 0. This means that when the value of v is very close to 0, the value of the density is very large.
As the volume approaches 0,
The density approaches infinity
Answer:
The density approaches infinity.
Step-by-step explanation:
Find the median and mean of the data set below:
48,32,5, 13, 11, 22, 2
Answer:
the median is 13 and the mean is 13
The total population of a European country is decreasing at a rate of 0.6% per year. In 2014, the population of the country was 7.4 million people.
a) What is the population likely to be in 2020 if it decreases at the same rate?
b) How long will it take for the population to drop below 7 million people?
show you working.
Answer:
a) The population in 2020 will be of 7.14 million people.
b) It will take 9.23 years for the population to drop below 7 million people
Step-by-step explanation:
Exponential equation for population decay:
The equation that models a population in exponential decay, after t years, is given by:
[tex]P(t) = P(0)(1-r)^t[/tex]
In which P(0) is the initial population and r is the decay rate, as a decimal.
The total population of a European country is decreasing at a rate of 0.6% per year.
This means that [tex]r = 0.006[/tex]
In 2014, the population of the country was 7.4 million people.
This means that [tex]P(0) = 7.4[/tex]. Then
[tex]P(t) = P(0)(1-r)^t[/tex]
[tex]P(t) = 7.4(1-0.006)^t[/tex]
[tex]P(t) = 7.4(0.994)^t[/tex]
a) What is the population likely to be in 2020 if it decreases at the same rate?
2020 - 2014 = 6, so this is P(6).
[tex]P(6) = 7.4(0.994)^6 = 7.14[/tex]
The population in 2020 will be of 7.14 million people.
b) How long will it take for the population to drop below 7 million people?
t when P(t) = 7. So
[tex]P(t) = 7.4(0.994)^t[/tex]
[tex]7 = 7.4(0.994)^t[/tex]
[tex](0.994)^t = \frac{7}{7.4}[/tex]
[tex]\log{(0.994)^t} = \log{\frac{7}{7.4}}[/tex]
[tex]t\log{0.994} = \log{\frac{7}{7.4}}[/tex]
[tex]t = \frac{\log{\frac{7}{7.4}}}{\log{0.994}}[/tex]
[tex]t = 9.23[/tex]
It will take 9.23 years for the population to drop below 7 million people
Please help translate into an algebraic expression.
Five more than the product of 15 and a number.
Answer:
15a + 5
Step-by-step explanation:
A mountaineer climbed 1,000 feet
Answer:
please complete your question
Answer:
its a (i had to find ur question online hopefully i found the right one)
GIVING OUT BRAINLIEST HELP ME OUT PLSSS
Answer:
90 degrees but mom not too sure
Find the slope of the line that passes through the points (-5,-6) and (5,10)
Suppose Duarte is one of the ten cities in the air pollution survey. We found that the number of manufacturing enterprises employing 20 or more workers in Duarte is 200, and the annual mean concentration of sulfur dioxide in Duarte is 18 micrograms per cubic meter. What is the residual for the city of Duarte
Kindly check complete question in the attached picture below.
Answer:
2.2236
Step-by-step explanation:
From the R output given, we can obtain the linear regression model in the form ;
y = bx + c
Intercept, c = 9.4764
Slope, b = 0.0315
x = number of manufacturing enterprise employing 20 or more workers
y = annual mean concentration of Sulphur dioxide
Hence, The regression equation model as obtained from the R output is :
y = 0.0315x + 9.4764
For the city of Duarte;
x = 200
Actual annual mean concentration of Sulphur dioxide is 18 micrograms per cubic meter.
Residual = Actual value - predicted value
Prediction using the regression equation to obtain the predicted annual mean concentration ;
The predicted y value, when x = 200
y = 0.0315(200) + 9.4764
y = 15.7764
The residual, if actual annual concentration = 18
Y residual = 18 - 15.7764 = 2.2236
Given m||n, find the value of x
Answer:
The answer is 104 degrees.
Step-by-step explanation:
M is equivalent to N, which means x is also 104 degrees.
Element X is a radioactive isotope such that its mass decreases by 73% every
hour. If an experiment starts out with 680 grams of Element X, write a
function to represent the mass of the sample after t hours, where the rate of
change per minute can be found from a constant in the function. Round all
coefficients in the function to four decimal places. Also, determine the
percentage rate of change per minute, to the nearest hundredth of a percent.
Mi
Answer:
Step-by-step explanation:
The element decay percentage rate of change 2.22% per minute.
What is radioactive isotope?
Radioisotope, radionuclide, or radioactive nuclide, any of several species of the same chemical element with different masses whose nuclei are unstable and dissipate excess energy by spontaneously emitting radiation in the form of alpha, beta, and gamma rays.
Here, mass decreases by 73% every hour.
Weight of element X is 680 grams.
According to question,
f(t) = 680 (1 - 73%)ⁿ
f(t) = 680 (1 - 0.73)ⁿ
f(t) = 680 X 0.27ⁿ
f(t) = 680 X 0.9778ⁿ
f(t) = 680 X (1 - 0.02322)ⁿ
Thus, the element decay percentage rate of change 2.22% per minute.
Learn more about radioactive isotope from:
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What is the equation of the line through (4, 2) and (0, -2)?
Answer:
y=x-2
Step-by-step explanation:
4-0=4 = (change in y)
2--2=4 = (change in x)
change in y/change in x=4/4=1=x
gradient = x
y=x+c
Subtitute any coordinate
2=4+c
c=-2
so
y=x-2
Answer:
y=x-2
Step-by-step explanation:
Slope Intercept Form
y=x-2
Find Slope using equation below
Chose points I chose 2 as y2 and -2 as y2
4 is x2 and 0 as x1
Slope is 1
now choose a point and plug it in for x and y and plug slope in Equation
I chose (4,2)
2=4+b
subtract 4 by both sides
-2=b
Slope Form
So... y=x-2 is the answer
A survey found that people keep their televisions an average of 5.1 years. The standard deviation is 0.85 year. If a person decides to buy a new TV, find the probability that he or she owned the old one for the given amount of time. Assume the random variable is normally distributed.
Answer:
[tex]P(x<4.4)=0.50[/tex]
Step-by-step explanation:
From the question we are told that:
Mean [tex]\=x =5.1 year[/tex]
Standard deviation [tex]\sigma=0.85[/tex]
Generally the equation for Z value is mathematically given by
[tex]Z = (4.4 - 4.4) / 0.73[/tex]
[tex]Z= 0[/tex]
Therefore
From table
[tex]P(x<4.4)=0.50[/tex]
One more than two-thirds of a number is the same as the number decreased by three.??
The number such that one more than two-thirds of a number is the same as the number decreased by three will be 12.
What is a fraction?In such a fraction, the value that appears above the horizontal line is referred to as the numerator.
In another word, the fraction is the division of the two numbers but the division is not wholly complete.
In another word, if we divide two numbers by each other then the upper word is called the numerator, and a lower word is called the denominator.
Let's say that number is x
Then,
2/3 of x = (2/3)x
Son,
1 more then (2/3)x = (2/3)x + 1
It is the same as x - 3
So,
(2/3)x + 1 = x - 3
x = 12
Hence "The number such that one more than two-thirds of a number is the same as the number decreased by three will be 12".
For more about fractions,
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Leila buys candy that costs 8 dollars per pound. She will spend more than 40 dollars on candy. What are the possible numbers of pounds she will buy?
Answer:
She must buy more than 5 lbs
Step-by-step explanation:
First write the inequality
cost per pound * number of pounds > total cost
8 * lbs > 40
Divide each side by 8
8 lbs /8 > 40/8
lbs > 5
She must buy more than 5 lbs
two mangoes cost $60.00. what is the cost of 5 mangoes
Answer:
Im not 100% sure but i think it would be $150.00
Step-by-step explanation:
Because if 2 mangos are $60
whats half of 60$
30
so 1 mango = $30
the person wants 5 mango so
multiply
$30*5
which would give you
$150.00
Answer:
$150
Step-by-step explanation:
If 2 mangoes cost $60, then 1 mango would be 60/2=30.
5 mangos would be 30×5=$150
Determine if each proportion on the left is True or False. Answer options on the right side may be used more than once.
True
False
28/16=14/8
3/5=9/15
4/32=10/78
3/4=12/16
Answer:
28/16=14/8 true
3/5=9/15 true
4/32=10/78 false
3/4=12/16 true
Step-by-step explanation:
DID IT ON BRIDGE
Helppppppppppppppppppppppppppppppppppppp
Answer:
diiiiifiiiciiillllllñ
Answer:
Step-by-step explanation:
a - yes
b - yes
c - yes
d - yes
e - yes
Sara makes a triangle using three sticks of lengths 20 cm, 21 cm, and 28 cm. Is the triangle a right triangle ? Please explain
Answer:
No, 20^2 + 21^2 ≠ 28^2
Step-by-step explanation:
The sides of which diagram are correctly labeled with respect to angle A?
A right triangle is shown. Angle A is opposite to the side labeled adjacent.
A right triangle is shown. Angle A is opposite to the side labeled opposite. The hypotenuse is opposite to the right angle.
A right triangle is shown. Angle A is opposite to the side labeled opposite. The side labeled adjacent is opposite to the right angle.
A right triangle is shown. Angle A is opposite to the side labeled hypotenuse. The side labeled adjacent is opposite to the right angle.
9514 1404 393
Answer:
(b) Angle A is opposite to the side labeled opposite. The hypotenuse is opposite to the right angle.
Step-by-step explanation:
The hypotenuse is always opposite the right angle.
The side considered "opposite" is opposite the angle of interest, angle A in this case.
Answer:
Other person is correct
Step-by-step explanation:
m) Factorise:
x2/9+1+9/x2
Answer:
Cannot be factored
Step-by-step explanation:
Given
[tex]\frac{x^2}{9} + 1 + \frac{9}{x^2}[/tex]
Required
Factorize
Take LCM
[tex]\frac{x^2}{9} + 1 + \frac{9}{x^2} = \frac{x^4+9x^2+81}{9x^2}[/tex]
The expression cannot be factored
An English teacher needs to pick 4 books to put on his reading list for the next school year. He has narrowed down his choices to 8 novels and 6 plays.
a. How many different ways can he choose the books to put on the list if he wants to include at least two plays?
b. Find the standard deviation.
Answer:
A) 3 ways
B) sorry don't know.
Step-by-step explanation:
2 P and 2 N
3P and 1 N
4P
So 3 ways.
SOMEONE HELP ME PLEASE
Answer:
y = 90
Step-by-step explanation:
You can use proportions to answer this question.
[tex]\frac{30}{-3} =\frac{y}{-9}[/tex]
Cross multiply 30 to -9; -3 to y
[tex]-270=-3y[/tex]
Isolate y by dividing -3 on both sides
[tex]y=90[/tex]
Answer:
90
Step-by-step explanation:
30/-3 = ?/-9
Cross Multiply-
30 × -9 = -270
-3 × ? = -3
-270 ÷ -3 = 90
y = 90
What is the divisibility rule for 16?
Answer:
If the thousands digit is odd, the number formed by the last three digits plus 8 must be divisible by 16.
Add the last two digits to four times the rest. The result must be divisible by 16.
The last four digits must be divisible by 16.
Answer:
If the thousands digit is even, the number formed by the last three digits must be divisible by 16. If the thousands digit is odd, the number formed by the last three digits plus 8 must be divisible by 16.
Example: 3408: 408 + 8 = 416.
Step-by-step explanation:
Find the area of the figure shown below. Use 3.14 for π. Use the formula π x r^2 to find the area of a full circle.
A)32.84 in
B)38.13 in
C) None of these answers
D)62.13 in
E)161.04 in
Answer:
c
Step-by-step explanation:
none of the answers are correct. The area of the figure is 51.53 in^2 and none of the answers are 51.53 in^2, therefore it is c.
Answer:
D. 62.13 in²
Step-by-step explanation:
the area = (8×6)+(½×3.14×3²)
= 48+14.13
= 62.13
Solve for c
X=
4
X Х
8
9
Answer:
C is 356
Step-by-step explanation:
Samuel bought an 8-ounce bag of lettuce and two 1-pound bags of carrots.
Which is the total weight of the lettuce and carrots in ounces?
10 ounces
12 ounces
40 ounces
72 ounces
Part B
If he eats half of the total, how much did he eat?
2 pounds 4 ounces
1 pound 8 ounces
1 pound 4 ounces
4 pounds 1 ounce
Answer:
a.40 ounces b.18 and 12 ounces
Step-by-step explanation:
A.40 ounces because 2 pounds into ounces is 32 oz+8 oz=40 oz
b. 2 pounds is 32oz+4oz=36/2=18oz
1 pound 16+8=24/2=12oz
Rewrite each mixed number as a sum of two signed numbers,
3 1/5
-7 3/8
Answer:
31/5 as a mixed number: 6 and 1/5
-73/8 as a mixed number:-9 and 1/8
Step-by-step explanation:
Rewriting each mixed number as a sum of two signed numbers 3 1/5 and -7 3/8 are 3 and 1/5 and -8 and 5/8 respectively
The mixed number to rewrite as a sum of two signed numbers are as follows:
3 1 / 5-7 3 / 8Rewriting as a sum of the two signed numbers can be represented as follows;
3 1/5 = 16 / 5
-7 3/ 8 = - 59 / 8
Therefore,
3 1/5 will be 3 and 1/5
-7 3/ 8 will be -8 and 5/8
Note
3 + 1/5 = 3 1/5
-8 + 5/8 = -7 3/8
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Multiply and combine like terms to determine the product of these polynomials. (3x−6)(4x+1)
A square dancing contest has 245 teams of 4 pairs each. How many dancers are participating in the contest?
Answer:
1960 dancers
Step-by-step explanation:
your are on "ace" level and need help here ?
a pair is 2 people
4 pairs is therefore 4×2 people = 8
245 teams of 4 pairs or 8 people each means
245×8 = 1960 people
Please help and show work please and please no sending links
How many factors does the following number have?
Step-by-step explanation:
myballsnahajahahahahahahahhahajaajjaajjaaaaaja
Answer: 135
exponents are :2,4,8
add on to each: 3,5,9
3*5*9 = 135
Step-by-step explanation: