{Answer:
3893 residents.
Step-by-step explanation:
Equation for population growth:
The equation for the size of a population, considering that it doubles every n years, is given by:
[tex]A(t) = A(0)(3)^{(\frac{t}{n})}[/tex]
In which A(0) is the initial population.
The current population of a small town is 2463 people. It is believed that town's population is tripling every 12 years.
This means that [tex]A(0) = 2463, n = 12[/tex]. So
[tex]A(t) = A(0)(3)^{(\frac{t}{n})}[/tex]
[tex]A(t) = 2463(3)^{(\frac{t}{12})}[/tex]
Approximate the population of the town 5 years from now.
This is A(5). So
[tex]A(t) = 2463(3)^{(\frac{t}{12})}[/tex]
[tex]A(5) = 2463(3)^{(\frac{5}{12})} = 3892.8[/tex]
Rounding to the nearest whole number, 3893 residents.
What type of solution would tho following system have?
y=(9/3)x-2
y=3x-2
One Solution
No Solution
Infinite Solutions
Answer:
one solution I think is the answer
can someone please help me solve?
Answer:
0.75
Step-by-step explanation:
d = FE = 4
e = DF = 3
f = ED = 5
f/sin(F) = e/sin(E)
5/sin(90) = 3/sin(E)
5 = 3/sin(E)
sin(E) = 3/5 =0.6
E = asin(0.6) = 36.869898... degrees
tan(E) = tan(36.869898...) = 0.75
explain why triangles in the figure are similar. then find the missing length x
Answer:
∨∨∨∨see below∨∨∨∨∨∨
Step-by-step explanation: 6 26 18 13
The two outside angles are congruent. The two inside angles are supplemental thus they are equal. The last two angles the high one and the lower one must sum to 180° in their respective triangles so they are equal since their similar angles are equal.
find x
4 is to x as 5 is to 7.5
4/x = 5/7.5 solve for x
4 × 7.5 / 5 = x
30 / 5 = x
6 = x
which function represents the inverse of the function f(x)=4x
Answer:
the answer is number 4 h(x) = 1/4 x
Answer:
the answer is 4 h(x) = 1/4 x.
Step-by-step explanation:
What are the coordinates for b?
Answer:
Step-by-step explanation:
(0,-3.5)
Answer:
(0, -3.5)
Step-by-step explanation:
The x coordinate is first
We stay on the y axis so the x coordinate is 0
The y coordinate is second
We go down 3 1/2 units so the y coordinate is -3 1/2
(0, -3.5)
Write the missing power of 10 in each equation.
0.80 × [ ] = 8
[ ] × 0.002 = 20
0.04 × [ ]= 4
[ ]× 0.5 = 500
What is the range of this function?
Answer:
[0, ∞)
0≤y<∞
Step-by-step explanation:
The range is the possible values that y can take
y goes from 0 to positive infinity
[0, ∞)
0≤y<∞
Answer:
[tex]y\geq 0\\[/tex]
y ∈ [0, ∞)
Step-by-step explanation:
The range of a function is the set of all possible output values. In this case, one can see that the graph never goes below the value (0), therefore the range is y will always be greater than or equal to (0).
The vertices of a triangle are located on a coordinate grid as follows: A (2,2) ,B (2,-6) , and C (-5,-6) . What is the area of ABC ? A. 6 square units B. 12 square units C. 28 square units D. 56 square units
How to solve this problem
Step-by-step explanation:
x = 180-106 = 74°
y = x/2 = 74/2 = 37°
4z+6 =106
4z = 100
z = 25°
if △ABC = △DEF, which side is congruent to EF?
A. AB
B. BC
C. AC
Answer:
BC
Step-by-step explanation:
BECAUSE BC IT'S EQUAL TO EF
Answer:
B. BC
Step-by-step explanation:
By SSS rule in ∆ ABC and DEF,
AB = DEBC = EFCA = FDHank can see the top of a tree in a mirror that is placed 475 cm from the tree when he stands 190 cm from the mirror. What is the height of the tree?
Answer:
The height of the tree is 430cm
Step-by-step explanation:
Given
The attached illustration
Required
The height of the tree
Let:
[tex]h \to[/tex] Hank's height
[tex]H \to[/tex] Tree height
[tex]d \to[/tex] distance between Hank and Mirror
[tex]D \to[/tex] distance between tree and Mirror
From the question, we have:
[tex]\angle 1 = \angle 2[/tex]
This means that:
[tex]\frac{H}{D} = \frac{h}{d}[/tex]
Make H the subject
[tex]H = \frac{h}{d} * D[/tex]
So, we have:
[tex]H = \frac{172cm}{190cm} * 475cm[/tex]
[tex]H = \frac{172* 475cm}{190}[/tex]
[tex]H = \frac{81700cm}{190}[/tex]
[tex]H = 430 cm[/tex]
Can someone please help ASAP!!
Step-by-step explanation:
you need to find:
uw:
uv:
vw= 8(already known)
Measure of W= 35
Measure of u= 90
measure of v= 180-90+35= 55
finding uv:
sin(35)= uv/8
0.57=uv/8
4.56=uv
finding uw:
sin(55)= uw/8
0.82= uw/8
6.56= uw
FACTOR b2 – 18b + 81
Answer:
(b-9)^2
Step-by-step explanation:
b^2-18b+81
=b^2-(9+9)b+81
=b^2-9b-9b+81
=b(b-9)-9(b-9)
=(b-9)(b-9)
=(b-9)^2
Hope this helps u!!
Will mark brainlest!
formula of (x+1)cube
Answer:
(x+1)^3=x^3+3x^2+3x+1
Answer:
[tex](x+1)^{3} = x^{3} + 3x^{2} +3x+1[/tex]
Step-by-step explanation:
[tex](x+1)^{3} = x^{3} + 3x^{2} +3x+1[/tex]
[tex](A+B)^{3} = A^{3} + 3A^{2}B+3AB^{2} + B^{3}[/tex]
If Volume of a Prism=36 m3
, then what is the volume of a pyramid?
V(volume of pyramid) = ⅓ x V(volume of prism)
V(pyramid) = 1 x 36 m³/3V(pyramid) = 12 m³___________________________
And, to get the volume of prism, simply multiply the volume of pyramid by 3.
if volume of pyramid=12m³, then volume of prism is 36 m³.
Solution;:
V(volime of prism) = V(volume of pyramid) x 3
V(prism) = 12m³ x 3V(prism) = 36 m³___________________________
Hence, there are 3 pyramids, and each pyramid has a volume of 12m³, these can exactly fit inside a prism with a volume of 36m³.
Five times the sum of twice a number and 12 is -55. Find the number
Find the area of the kite with diagonals a= 12 and b=9
A) 30
B) 72
C) 54
D) 108
maybe 108 is the answer.
Jared bought a new amplifier for his guitar by borrowing the money from his mom. The amplifier cost $235. Jared is paying his mom back $18 each week. If Jared still owes his mom $73, how many weeks has he been paying her back?
Answer:
9 weeks
235 -73=162 (this is the amount he paid)
162/18=9 (he has been paying his mom for 9 weeks)
Answer:
9 weeks
Step-by-step explanation:
235-73 = 162 (how much he has paid her thus far)
162/18 (how many times he payed her) = 9
help me please geometry!!
Find the missing side length.
Set up a ratio:
16/12 = 28/?
Cross multiply:
16? = 12 x 28
16? = 336
Divide both sides by 16:
? = 336/16
? = 21
Soda is sold in aluminum cans that measure 7 inches in height and 2.8 inches in diameter.
How many cubic inches of soda are contained in a full can?
Answer:
Volume of soda in soda can = 43.1 inches³ (Approx.)
Step-by-step explanation:
Given:
Height of soda can = 7 inches
Diameter of soda can = 2.8 inches
Find:
Volume of soda in soda can
Computation:
Radius of soda can = Diameter of soda can / 2
Radius of soda can = 2.8 / 2
Radius of soda can = 1.4 inches
Volume of soda in soda can = Volume of cylinder
Volume of soda in soda can = πr²h
Volume of soda in soda can = (3.14)(1.4)²(7)
Volume of soda in soda can = (3.14)(1.96)(7)
Volume of soda in soda can = 43.1 inches³ (Approx.)
Multiply 12x2y4z(-4x3y6z2)
Answer:
[tex]-48x^5 y^{10} z^3[/tex] should be the answer
Step-by-step explanation:
help help please help help
Answer:
The range is 5.
Step-by-step explanation:
You can deduce this by concluding all other statements are true, or by calculating the range. 10 - 1 = 9
How many prime numbers less than 20
Answer:
Prime numbers less than 20 are 2, 3, 5, 7, 11, 13, 17 and 19
Step-by-step explanation:
URGENT!!!
Three friends, Cleopatra, Dalila, and ebony fo shopping. The money they have each is in the ratio
Cleopatra : Dalila : Ebony =
5 : 7 : 8
A) How many dollars do they have in total?
B) Dalila spends 12$ on a hat, how many dollars does she have left?
A)they have 20 dollar's in total
b)she is left with -12 dollar's
Explanation
total money = 5 + 7 + 8
= 20
Money Dalila had = 7 dollars
Money she spent = 12 dollars
money she is left with = 7 - 12 dollars
= -5 dollars
Aysha has 40 cubes in a bag.
18 red cubes.
13 blue cubes.
9 yellow cubes.
Aysha adds some more red cubes into the bag.
Aysha is now going to take at random a cube from the bag
The probability now that she will take a red cube is 0.5.
Work out the probability that she will take a yellow cube.
Given:
Total number of cubes = 40
Red cubes = 18
Blue cubes = 13
Yellow cubes = 9
Aysha adds some more red cubes into the bag.
The probability now that she will take a red cube is 0.5.
To find:
The probability that she will take a yellow cube.
Solution:
Let Aysha adds x red cubes into the bag. Then,
Number of total cubes = 40+x
Number of red cubes = 18+x
Probability of getting a red cube is:
[tex]P(Red)=\dfrac{18+x}{40+x}[/tex]
The probability now that she will take a red cube is 0.5. So,
[tex]\dfrac{18+x}{40+x}=0.5[/tex]
[tex]18+x=0.5(40+x)[/tex]
[tex]18+x=20+0.5x[/tex]
[tex]x-0.5x=20-18[/tex]
[tex]0.5x=2[/tex]
Divide both sides by 0.5.
[tex]x=\dfrac{2}{0.5}[/tex]
[tex]x=4[/tex]
It means Aysha adds 4 more red cubes into the bag.
Now, the total number of cubes int he bag is:
[tex]40+4=44[/tex]
Probability of getting a yellow cube is:
[tex]P(Yellow)=\dfrac{\text{Number of yellow cubes}}{\text{Total number of cubes}}[/tex]
[tex]P(Yellow)=\dfrac{9}{44}[/tex]
Therefore, the required probability is [tex]P(Yellow)=\dfrac{9}{44}[/tex].
If you leave Louisville Ky at 8:15 am and arrive in Chicago at 2:25 pm how long did you travel ?
Answer: 6 hours and 10 minutes
Step-by-step explanation:
What is £8.19 minus 10%
Answer:
7.391
Step-by-step explanation:
Find 10% of 8.19
8.19*10%
8.19 *.10
.819
Subtract this from 8.19
8.19-.819
7.391
Small circular disks are being cut from thin sheets of steel. The steel weighs 1.6 grams per square centimeter. The disks need to have a diameter of 5 centimeters.
(A) find the area of the disk to the nearest hundredth of a square centimeter. Show the steps in your calculation.
Answer:
[tex]A = 19.63cm^2[/tex]
Step-by-step explanation:
Given
[tex]d =5cm[/tex]
[tex]Weight = 1.6g/cm^2[/tex]
Required
The area (A) of the disk
This is calculated as:
[tex]A = \frac{\pi * d^2}{4}[/tex]
So, we have:
[tex]A = \frac{3.14 * 5^2}{4}[/tex]
[tex]A = \frac{3.14 * 25}{4}[/tex]
[tex]A = \frac{78.5}{4}[/tex]
[tex]A = 19.625[/tex]
[tex]A = 19.63cm^2[/tex] --- approximated
23 points help plzzz
Which number is an integer?
O -3/4
O 1/5
O 2
O 4 2/3
The answer is 2 ez.
Answer:
2
Step-by-step explanation:
hope i helped :))
What is the surface area of the rectangular prism below? 8 19 8
Answer:
736 units squared (c)
Step-by-step explanation:
Took the quiz
