The population of the town in 36 years would be 8000.
What would be the population of the town in 36 years?The formula that can be used to determine the town's population is:
FV = P (1 + r)^n
Where:
FV = Future value P = Present value R = rate of growth = 100%N = number of years = 36/9 = 4500 x 2^4 = 8000
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The tail of a model dinosaur is 8 inches shorter than the rest of its body. The rest of its body is 36 inches long. How long is the dinosaurs tail?
Answer:
So to find this answer we would do 36-8= 28 in
Step-by-step explanation:
If the tail is 8 in shorter than the body them that means is subtraction,
Hop this helps!
4^5 x 4^-7 divided by 4^-2
Step-by-step explanation:
Our expression;
[tex]\frac{4^5\times4^7}{4^-2}[/tex]
Notes;
When exponents multiply, they add.
When exponents divide, they subtract.
Multiply;
[tex]\frac{4^5\times4^7}{4^{-2}}=\frac{4^{-2}}{4^{-2}}[/tex]
Divide;
[tex]\boxed{\frac{4^{-2}}{4^{-2}}=4^0=1}[/tex]
Facts to review:
[tex]\bullet \ \tex\text{Tip 1: If there is a "multiplication" sign, then the exponents will add.} \\\\ \bullet \ \tex\text{Tip 2: If there is a "division" sign, then the exponents will subtract.}\\\\ \bullet \ \ \tex\text{Tip 3: If a number, exponent, fraction, etc. is divided by itself, the result is 1.}[/tex]
Step- by step calculations:
[tex]\bullet\rightarrow (4^{5} \times 4^{-7} ) \div 4^{-2} \\\\ \bullet\rightarrow (4^{5 +(- 7)} ) \div 4^{-2} \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ [\tex\text{Tip 1}]\\\\ \bullet\rightarrow (4^{-2} ) \div 4^{-2}\\\\ \bullet\rightarrow \boxed{\bold{1}} \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ [\tex\text{Tip 3}][/tex]
The solution for the given expression is 1.
Chromosomes move toward opposite ends of the cell during:
A. Interphase
B. Anaphase
C. Telophase
D. Metaphase
Answer:
B. Anaphase
Step-by-step explanation:
There is no possible way to explain this it is also not mathematics it's considered biology
Which of the fractions below has a numerator of 3? Select all that apply.
A)38
B)23
C)25
D)38
E)312
Answer:
A and C
Step-by-step explanation:
When you are dividing exponents you subtract. So for this problem -8 - -4 = -8 + 4 = -4. This means that the new exponent would be -4.
When you have a negative exponent, the equation is a fraction. As an example x^-5 would be equal to 1/x^5. For this equation, since you know that the new exponent is -4, an equivalent equation would be 1/3^4.
Hope this helps
Need help on this one.
Answer:
The student solved the equation correctly.
Footware manufacturing is projected to decrease output by 8. 4% from 2006 to 2016. If footware manufacturing had 1. 8 billion dollars of output in 2006, approximately how much output is expected in 2016? a. $1. 95 billion b. $2. 64 billion c. $1. 55 billion d. $1. 65 billion.
Percentage is a way to describe a part of a whole. The production of the footwear that will be in 2016 will be 1.65 billion.
What is Percentage?A percentage is a way to describe a part of a whole. such as the fraction 1/4 can be described as 0.25 which is equal to 25%.
To convert a fraction to a percentage, convert the fraction to decimal form and then multiply by 100 with the '%' symbol.
It is given that the production of footwear in 2006 was 1.8 billion which will be reduced by 8.4%, therefore, the number of footwear that will be produced in 2016 is 91.6%(100%-8.4%) of the production in 2006. Therefore, the production of footwear in 2016 will be
[tex]91.6\%\ of\ 2006\\\\= 0.916 \times 1.8\ billion \\\\= 1.6488\approx 1.65\ billion[/tex]
Hence, the production of the footwear that will be in 2016 will be 1.65 billion.
Learn more about Percentage:
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find the area for all 6 please, will mark brainliest.
Answer:
1. 45 in²
2. 108 cm²
3. 104 m²
4. 75 in²
5. 1140 ft²
6. 166.5 mm²
Step-by-step explanation:
b=base, h=height
1. Area of triangle = [tex]\frac{1}{2}[/tex] x bh
[tex]\frac{1}{2}[/tex] x 10(9) = 45
2. [tex]\frac{1}{2}[/tex] x 12(18) = 108
3. [tex]\frac{1}{2}[/tex] x 16(13) = 104
4. Area of a trapezoid: [tex]\frac{1}{2}[/tex] x h( length of base 1 +length of base 2)
[tex]\frac{1}{2}[/tex] x 6(10+15) = 75
5. Area of kite = [tex]\frac{1}{2}[/tex] x length of diagonal 1 x length of diagonal 2
diagonal 1 = 5*9 = 45
diagonal 2 = 8*8 = 64
[tex]\frac{1}{2}[/tex] x 45(64) = 1140
6. [tex]\frac{1}{2}[/tex] x 9 (13+24) = 166.5
solve each system by substitution.
y=3x-5
y=-6x-5
????
y=8x-9
y=-8x+7
???
-x+6y=21
y=-5x+12
?????
Given:
y = 3x - 5y = -6x - 5Multiplying y = 3x - 5 by 2:
=> 2(y = 3x - 5)y = -6x - 5
=> 2y = 6x - 10y = -6x - 5
Adding both equations:
=> 3y = -15Dividing 3 both sides:
=> y = -5Substitute the value of y into any equation.
y = -6x - 5=> -5 = -6x - 5=> 0 = -6xDivide -6 both sides.
=> x = 0/-6 = 0Solution (2):Given:
y = 8x - 9y = -8x + 7Add both the equations.
y = 8x - 9y = -8x + 7
2y = -2Divide 2 both sides.
2y = -2=> 2y/2 = -2/2=> y = -1Substitute the value of y into any equation.
y = 8x - 9=> -1 = 8x - 9Add 9 both sides.
=> -1 + 9 = 8x - 9 + 9=> 8 = 8xDivide 8 both sides.
=> 8/8 = 8x/8=> x = 1Solution (3):Given:
-x + 6y = 21y = -5x + 12Reorganize the first equation.
-x + 6y = 21=> 6y = x + 21Multiply the first equation by 5.
5(6y = x + 21)y = -5x + 12
30y = 5x + 105y = -5x + 12
Add both the equations.
31y = 117Divide 31 both sides.
31y = 117=> 31y/31 = 117/31=> y = 117/31Substitute the value of y into any equation.
-x + 6y = 21=> -x + 6(117/31) = 21=> -x + 702/31 = 651/31Subtract 702/31 both sides.
=> -x = 651/31 - 702/31=> -x = -51/31=> x = 51/31Find the number of solutions of the equation x2 + 2x + 3 = 0 by using the discriminant.
Answer:It has no rerealrealr solutions
Step-by-step explanation:
the leg of an obtuse are 10 cm and 9^1/2 . How long is the hypotenuse?
Answer:
8
Step-by-step explanation:
If 8 is added to 3(√9) it is more than 10. If 10 and 3(√9) is added it is more than 8. If 8 is added to 10 it more than 3(√9).
Given a polynomial function f(x) = 2x2 – 3x + 5 and an exponential function g(x) = 2x - 5, what key features do f(x) and g(x) have in common?
A. Both f(x) and g(x) have the same domain of (9,-infinity).
B. Both f(x) and g(x) have the same range of [0,-infinity).
C. Both f(x) and g(x) have the same x-intercept of (2,0).
D. Both f(x) and g(x) increase over the interval of (-4, infinity).
Both f(x) and g(x) have the same range of [0,-infinity).
What is a function?A function is an expression that shows the relationship between two or more numbers and variables.
Plotting the functions f(x) = 2x² – 3x + 5 and g(x) = 2ˣ - 5:
Both f(x) and g(x) have the same range of [0,-infinity).
Find out more on function at: https://brainly.com/question/25638609
Answer: A. Both f(x) and g(x) have the same domain of (9,-infinity).
Step-by-step explanation:
I really need help fast
Answer:
P(A and 2) = 1/12, P(D and 1) = 1/8, P(A and not 2) = 1/6
Step-by-step explanation:
P(A and 2)
There is a 1/4 chance that you hit a when you spin the spinner. There is a 2/6 chance that you hit two when you spin the spinner. 1/4*2/6 = 2/24=1/12
P(D and 1)
There is a 1/4 chance that you hit d when you spin the spinner. There is a 3/6 chance that you hit one when you spin the spinner. 1/4*3/6=3/24=1/8.
P(A and not 2)
There is a 1/4 chance that you hit a when you spin the spinner. There is a 4/6 chance that you hit anything but two in the second spinner. 1/4*4/6=4/24=1/6
Does anyone know the answer to 10 and 11??
Answer:
I do!
Step-by-step explanation:
10: It appears to be (6, 4.75)
11: It looks like (-4, -4)
You can desmos graphing calculator to check yourself, if you'd like!
I hope this helps!
What is 750 ÷ 12000 pls
Answer:
0.0625.
Step-by-step explanation:
750/12000 as a fraction is 1/16, which is 0.0625.
Answer:
16
Step-by-step explanation:
You could divide 12000 by 16 and 750.
I never get help in this app but can someone at least solve this problem
Answer:
21
Step-by-step explanation:
If the angles are supplementary, that means they add up to 180 degrees.
That means if we subtract 75 from 180, we get 105.
If we divide 105 by 5, we get 21.
That means 21 * 5 + 75 = 180
or
5(21) + 75 = 180
Hope this helps!
Patrick can learn 42 blessings in 6 hours. At that rate, how many blessings can he learn in 9 hours?
divide 42 by 6 and get 7 so mulyiply 7 by 9
carla makes 20$ for each lawn she mows. the money she makes depends on the number of lawns she mows. how much will she make if she mows 5 lawns?
Answer:
100$
Step-by-step explanation:
Each lawn=20$
number of lawn mowed=5
20×5=100$
Alan swam 8 kilometers against the current in the same amount of time it took him to swim 16 kilometers with the current. The rate of the current was kilometer per hour. How fast would Alan swim if there were no current?
Answer:
the answer is 96
Step-by-step explanation:
all you have to do is 8 times 12
A 15 ft long cable is connected from a hook to the top of a pole that has an unknown height. The distance from the hook to the base of the pole is 3 ft shorter than the height of the pole.
a. What can you use to find the height of the pole?
b. Write and solve a quadratic equation to find the height of the pole.
c. How far is the hook from the base of the pole?
a. What can you use to find the height of the pole?
solution: We can use Pythagoras theorem to find the height of the pole.
b. Write and solve a quadratic equation to find the height of the pole.
solution:
a² + b² = c²
[tex]\sf (x)^2 + (x-3)^2 = 15^2[/tex]
[tex]\sf x^2 + x^2 - 6x + 9 = 15^2[/tex]
[tex]\sf 2x^2 -6x + 9 = 225[/tex]
[tex]\sf 2x^2 -6x -216=0[/tex]
[tex]\sf 2x^2 -24x +18x -216 = 0[/tex]
[tex]\sf 2x(x-12)+18(x-12) = 0[/tex]
[tex]\sf (2x + 18)(x-12) = 0[/tex]
[tex]\sf x = 12, -9[/tex]
[tex]\sf x = 12[/tex]
height of the pole: 12 ft
c. How far is the hook from the base of the pole?
solution: (x-3) → (12-3) → 9
Evaluate the expression when a = -6 and c=7.
C-8a
Answer:
55
Step-by-step explanation:
Given the following question:
[tex]c-8a[/tex]
[tex]c=7[/tex]
[tex]a=-6[/tex]
Substitute and solve by using PEMDAS:
[tex]c-8a[/tex]
[tex]7-8(-6)[/tex]
[tex]8\times-6=-48[/tex]
[tex]7--48[/tex]
[tex]7--48=55[/tex]
[tex]=55[/tex]
Your answer is "55."
Hope this helps.
which of the following conditions is not sufficient to prove that a quadrilateral is a parallelogram?
A. Two pairs of side are parallel.
B. Two pairs of opposite sides are congruent.
C. Two consecutive angles are supplementary.
D. Two diagonals bisect each other.
Answer: D
Step-by-step explanation:
A counterexample is an isosceles trapezoid.
Which graph represents a function
Answer:
Bottom graph
Step-by-step explanation:
For the relation to be a function, its graph must pass the Vertical line test (each x value must only have 1 corresponding y value)
The company makes a single serving cereal box that contains a volume of 1.2 ounces of cereal. They plan to make an extra large box for school cafeterias. The extra large box will be a dilation of the single serving box using a scale factor of 9/2
. How many ounces of cereal will the extra large box contain?
Answer:
109.35 ounces
Step-by-step explanation:
The scale factor is a linear scale factor.
The box is a three-dimensional solid, so the length, width, and height will be dilated by a factor of 9/2.
The volume factor is (9/2)³ = (4.5)³ = 91.125
The number of ounces is proportional to the volume.
1.2 ounces × 91.125 = 109.35 ounces
Find the circumference.
Answer:
671.96 or 214[tex]\pi[/tex]
Step-by-step explanation:
C=2[tex]\pi[/tex]*r
C=2[tex]\pi[/tex]*107
C=2*3.14*107
C=671.96
107*2=214
Please help me please please
Pleaseeee HELPPPPPPPP!!!
Answer:
ok and u have to divide up that have it
a) Make r the subject of EACH of the following formulae:
© r-h=rh
I"LL GIVE BRAINLEST !!! 25 POINTS !!! PLEASE HELP ITS MY LAST QUESTON!!!
A grocery store received two shipments of watermelon. Each watermelon in a shipment was weighed, then a line plot was made of all of the weights in a shipment What statement about the two plots' distributions is true?
Answer:
Statement or Option A is correct.
barbara needed 3 1/4 cups of flower for her recipe.if she measured 1/4 cups at a times did she have to fill the measured cup
What is the yearly salary for the RN working 40 hours
a week? How much more is an RN paid in a year than
an LPN?
Helpppppppppp
Answer:
RN = registered nurse
LPN = licensed practice nurse
RN earns $21.50 per hr
LPN earns $14 per hr
To calculate earnings for a 40 hour working week, multiply the rate per hour by 40:
RN earns: 21.50 × 40 = $860 per week
LPN earns: 14 × 40 = $560 per week
Difference: 860 - 560 = $300
Therefore, an RN is paid $300 more than an LPN for a 40 hour working week.
Number of weeks in a (non leap) year = number of days in a year ÷ 7
= 365 ÷ 7
= 52.14285714...
Rounding to the nearest whole number ⇒ 52 weeks in a year
To calculate the yearly salary, multiply the rate per week by 52:
RN earns: 860 × 52 = $44720 per year
LPN earns: 560 × 52 = $29120 per year
Difference: 44720 - 29120 = $15600
OR we can simply multiply the difference between the amount paid for a 40 hour week by 52:
⇒ 300 × 52 = $15600
Therefore, an RN is paid $15600 per year than an LPN.