Given:
The population, P, of six towns with time t in years are given by the following exponential equations:
(i) [tex]P=1000(1.08)^t[/tex]
(ii) [tex]P = 600 (1.12)^2[/tex]
(iii) [tex]P =2500 (0.9)^t[/tex]
(iv) [tex]P=1200 (1.185)^t[/tex]
(v) [tex]P=800 (0.78)^t[/tex]
(vi) [tex]P=2000 (0.99)^t[/tex]
To find:
The town whose population is decreasing the fastest.
Solution:
The general form of an exponential function is:
[tex]P(t)=ab^t[/tex]
Where, a is the initial value, b is the growth or decay factor.
If b>1, then the function is increasing and if 0<b<1, then the function is decreasing.
The values of b for six towns are 1.08, 1.12, 0.9, 1.185, 0.78, 0.99 respectively. The minimum value of b is 0.78, so the population of (v) town [tex]P=800 (0.78)^t[/tex] is decreasing the fastest.
Therefore, the correct option is b.
Help solve for the area
Answer:
B
Step-by-step explanation:
half × base × height
height × length
Answer: B
Step-by-step explanation:
Triangle)
25 - 7 = 18
[tex]A=\frac{1}{2}(b)(h)\\A=\frac{1}{2}(18)(17)\\A=153cm^2[/tex]
Rectangle)
[tex]A=b(h)\\A=7(17) = 119cm^2[/tex]
Total)
[tex]153+119=272 cm^2[/tex]
John has $132.55 in his bank account. He wants to join a guitar class that charges a $15 fee every week. John plans to take the class for 12 weeks.
Answer:
Not exactly sure what the question is but John would have to pay 180 to be in the class, he does not have enough for the class right now.
What part of an hour passes between 2:24pm and 4:40pm
Answer:
2 1/4 hrs
Step-by-step explanation:
2 1/4 th of an hour passes between 2:24pm and 4:40pm
Between 2:24pm and 4:40pm 2.26 part of hours has been passed.
What is a fraction?A fraction is written in the form of p/q, where q ≠ 0.
Fractions are of two types they are proper fractions in which the numerator is smaller than the denominator and improper fractions where the numerator is greater than the denominator.
Given, What part of an hour passes between 2:24 pm and 4:40 pm.
Now (4 : 40 - 2 : 24 ) = 2 and 16 minutes.
16 minutes is 16/60 = 4/15 or 0.26 hours.
So, in total (2 + 0.26) = 2.26 part of an hour have been passed.
learn more about fractions here :
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hey help me please lol
Answer:
r = 5
Step-by-step explanation:
Side 1: 7
Side 2: 2 + r
To determine r, we subtract 2 from both sides to get the following:
Side 1: 5
Side 2: r
5 and r are the same, so 5 must equal 5.
Therefore, r = 5.
B
C
5
C
A
12
Find the length of “c” using
the Pythagorean Theorem.
Enter
Answer:
13
Step-by-step explanation:
We know that a^2+b^2 = c^2 where a and b are the legs and c is the hypotenuse
5^2 + 12^2 = c^2
25+144 = c^2
169 = c^2
Taking the square root of each side
sqrt(169) = sqrt(c^2)
13 =c
What is the factored form of 6x^2-13x-5
Answer:
(2x - 5)(3x + 1)
Step-by-step explanation:
Brainliest, please! (Almost an Ace)
1. Find the factors of 6x^2. (Either 2x and 3x, or 6x and 1x.)
2. Find the factors of -5. (Either -1 and 5, or 1 and 5.)
3. Set up 4 different pre-FOIL factored expressions.
4. Check and see which one works. It's (2x - 5)(3x + 1)
What is the radius and diameter of the following circle? 5.1 cm
Answer:
A circle of radius = 0.8117 or diameter = 1.623 or circumference = 5.1 cm has an area of: 2.07 × 10 -10 square kilometers (km²) 0.000207 square meters (m²) 2.07 square centimeters (cm²)Step-by-step explanation:
What is the order of rotational symmetry for the figure?
A. 1
B. 2
C. 3
D. 4 or more
The order of Rotational symmetry is 2 (option B) for the given figure.
What is order of rotational symmetry?It is basically the number of times we obtain the initial(or same) figure in a single rotation of 360°.
The rotational symmetry of a shape demonstrates that when an object is rotated on its axis, the form of the object examines the same. Many geometrical shapes emerge to be symmetrical when they exist rotated 180 degrees or with some angles, clockwise or anticlockwise. Some of the examples exist as squares, circles, hexagons, etc.
If we rotate the picture by 90°or 270°, then it wont match the initial figure.
If we rotate the picture by 180° from initial, it will match the figure.
If we further rotate it by 180°( full 360° completed) , it will again match.
Hence, it matches 2 times in a single rotation.
Therefore it has rotational symmetry of order 2.
To solve more questions about rotational symmetry refer:
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determine the equation of a line that is vertical and goes through (-5,6)
Answer:
x = -5
Step-by-step explanation:
A vertical line is a line that goes up and down. It is of the form x = constant
To go through (-5,6) is has to have the value of the x coordinate
x = -5
How do I do this?pls help someone i need to understand it for a important test tomorrow
Answer:
1.08915145
Step-by-step explanation:
First of all do 39 x 52, which equals 2028. Then to do the second part of the equation we move the two bottom numbers place value up by one giving us 38 x 49 which is 1862. And then we put 2028 divided by 1862 into our calculators and get the answer as 1.08915145.
What is the volume of the solid? Let π=3.14
.
The volume of the solid as shown in the task content is; 2786.2cm³.
What is the volume of the solid?It can be obtained from the task content that the solid given is a Cone.
On this note, the volume of the cone can be evaluated by means of the formula;
V = (1/3)π r²h where(r =22/2 = 11 and h=22).
Hence, Volume, V = (1/3) ×3.14× (11)²×22 = 2786.2cm³.
Read more on volume;
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Need help asapppppppppp
Find the product using suitable rearrangement 1879*5*20 please tell this
Answer:
187900Step-by-step explanation:
Calculate in steps:
5*20 = 1001879*100 = 187900Answer:
Step-by-step explanation:
1879 * 5* 20 = 1879 * (5* 20)
= 1879 * 100
= 187900
In a survey of 250 people, 180 like farming. 120 like civil service and every people like at least one occupation. Draw a Venn-diagram and find the number of people who like farming as well as civil service. Also, find how many people like only civil service.
Answer:
180+120-250=50
........
Six pairs of shoes cost as much as 1 coat, 2 pairs of jeans cost as much as 3 pairs of shoes, and 4 pairs of socks cost as much as one pair of jeans. How many coats could I exchange for 64 pairs of socks?
Answer:
4 coats
Step-by-step explanation:
Let the cost of a pair of shoe be x.
Thus, 6 pairs would cost; 6x
Thus,1 coat will cost 6x.
2 pairs of jeans cost as much as 3 pairs of shoes.
Thus, 2 pairs of jeans will cost 3x.
4 pairs of socks cost as much as one pair of jeans.
If 2 pairs of jeans cost 3x
Then 1 pair will cost 3x/2 = 1.5x
Thus, 4 pairs of socks will cost 1.5x.
Thus, 1 pair of socks will cost 1.5x/4
Then, 64 pairs of socks will cost;
64 × 1.5x/4 = 24x
Earlier, we saw that 1 coat costs 6x.
Thus means that;
Number of coats to exchange for 64 pairs of socks = 24x/6x = 4 coats
The sum of two numbers is 0. Twice the smaller number subtracted from 3 times the larger number is 10. Let x
represent the larger number and y represent the smaller number. Which equations represent this situation?
VX
y=3x-5
y=x
O
y = x-5
10
y = 3X+ 3
y=-x
о
2 10
y = 3x+
Step-by-step explanation:
x+y=0
x=-y
or, y=-x
3x-2y=10
Please help me answer this question:
(D 3, 3, 5, 5, 6, 7, 8, 9, 11
Answer:
According to the graph presented within the proposed interrogate, the answer to such is identified as ‘C’: 2, 3, 5, 5, 6, 7, 8, 10, 11.
Step-by-step explanation:
To evaluate for such a problem, a comprehension of the “Whisker” plots is obligated.
- The box geometric figure with the vertical line contained within represents the average of the numbers presented.
* In this peculiar case, 6 is acknowledged as the individual value responsible for the mean.
Thus far, browsing at such answer choices, we are obligated to appoint an answer where 6 is the standard deviation or the mean (where 6, and only 6, is found in the middle of the set of numbers provided).
The only answer choice in which certifies to all conditions thus far declared is disseminated as “C”.
*I hope this helps.
What is the approximate radius of a sphere with a volume of 34 cm3?
A. 6 cm
O O
B. 2 cm
C. 8 cm
D. 4 cm
SUBMIT
Answer:
the answer is B.
Step-by-step explanation:
it is not A is because if the radius is 6 then the volume will be 904.32
the answer is B.
because is the radius is 2 cm then the area I calculate with this radius is 33.4933333333 and the question want the approximate radius and out of all the numbers this one is the closest so the answer is B
If f(x) = 3x2 + 1 and g(x) = 1 - x, what is the value of (f-9)(2)?
Answer:
14
Step-by-step explanation:
Can some help please
Answer:
Step-by-step explanation:
2 * 10^7 You are to use a single digit. That's the 2 on the left. Then count what it takes to get the decimal between the 2 and the 3. It's 7
0.000136
Count the number of zeros. Add a minus 1. You want the number to be counted until you get minus 1 which is the number of powers after the 1.
1 * 10^-4
26837 becomes 2 * 10^4. 4 is the number of digits you have before you get to a number between 1 and 10.
0.0302 becomes 3 * 10^-(1 + 1) = 3 * 10^-2
Solve the equation for all values of x.
(x2 – 16)(x2 + 49) = 0
Answer:
-4, 4, 7i, -7i
Step-by-step explanation:
Basically any or each bracket must be equal to 0. If x^2+16 = 0, then x can be 4 and -4, and if x^2+49 is 0, then x =7i or -7i
What is the slope of the line shown below?
(6,6)
m
O A. -2
B. 2
-5
6
O c. 7 /
IN
(1,-4)
5
1
O D.
D. -
2
Answer:
B
Step-by-step explanation:
answer is slope =2
use formula y2-y1 over x2-x1
two points of graph is (6,6) and (1,-4)
since 6 and -4 are both y, we take 6-(-4) over 6-1
we get 2
ask for further explanation if you need!!❤
solve for the variable. *show your work*
Step-by-step explanation: Notice that we have a 30° angle and we're given that the side opposite the 30° angle has a length of h and the side adjacent to the 30° angle has a length of 18.
Remember than [tex]tan =[/tex] [tex]\frac{opp}{adj}[/tex] so we can setup the equation tan 30° = h/18.
Solving for h, we multiply both sides of the
equation by 18 and we have (18)(tan 30°) = h.
From here, we enter this into our calculator to get 10.3923 or 10.4.
Instead of using trigonometry here, we could have also noticed that this is a special right triangle, a 30° - 60° - 90° triangle, which means that the long leg is √3 times the length of the short leg, so we could have setup an equation to find the value of h. Either way should be acceptable.
Can someone please help me to evaluate
Answer:
1
Step-by-step explanation:
a*log(b) = log(b^a), so (1/2)*log(196)=log(14)
So 1+log(15)-log(14)=1
HELP ASAP ILL GIVE BRAINLIST
t/f If substituting the test point produces a false solution, we shade on the opposite side of the line.
t/f Elimination will give you an exact answer to a system of equations.
Answer:
TRUE If substituting the test point produces a false solution, we shade on the opposite side of the line.
FALSE Elimination will give you an exact answer to a system of equations.
Step-by-step explanation:
Weird, I thought I already answer this xD
Need help ASAP 3(9+9b)=69+136
Answer:
b=3
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
Answer:
b = 3
Step-by-step explanation:
3(9+9b)=69+136
27+27b = 205
27b = 205-27
27b = 178
b = 178/27
*slaps face*
In the comments you said the "136" is "13b" so ok...
3(9+9b)=69+13b
27+27b = 69 + 13b
27+14b = 69
14b = 69-27
14b = 42
b = 3
15.
Identify a transformation of the function ƒ(x) = x by observing the equation of the function g(x) = x – a.
A horizontal shift a units to the right.
A vertical shift a units downward.
A horizontal shift a units to the left.
A vertical compression by a factor of 1/a.
Answer:
A horizontal shift a units to the right.
Step-by-step explanation:
f(x) =x, is a line with the the x-intercept at (0,0)
g(x) = x-a, is a line that has the same slope as line f(x) , yet has a x-intercept at (a,0) the line moved a units to the right
How many kilograms of coffee worth 40/kg must be mixed with coffee worth $11/kg to give 12kg of coffee worth $9.50/kg
Answer:
0.62kg
Step-by-step explanation:
Let
x = 40/kg coffee
y = 11/kg coffee
two equations can be derived from the question
x + y = 12 equation 1
40x + 11y = 114 (9.5 x 12) equation 2
multiply equation 1 by 11
11x + 11y = 132 equation 3
subtract eqn 3 from eqn 2
29x = 18
divide both sides of the equation by 29
x = 0.62kg
Which of the following is a geometric sequence?
ES EL PUNTO A. RPBHCGNDGE
What is the greatest common factor of 24s3, 12s4, and 18s?
Answer:
24s3
Step-by-step explanation:
24s3 is the greatest common factor of 24 S3 12 s4 and 18s.
