The population of The Colony after 2 hours is d. 64
How to determine the population?The given parameters are:
Initial, a = 1
Rate, b = 2 every 20 minutes
An exponential function is represented as:
y = ab^x
So, we have:
y = 1 * 2^x
y = 2^x
There are six 20 minutes in 2 hours.
This means that:
x = 6
So, we have:
y = 2^6
Evaluate
y = 64
Hence, the population of The Colony after 2 hours is d. 64
Read more about exponential functions at
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please help I'll give brainliest
Answer:
47
Step-by-step explanation:
x-2+3x-6= 180 ( as they are complementary angles)
4x-8= 180
4x= 188
x= 47
Divide. Round your answer to the nearest hundredth.
Answer:
775.64
Step-by-step explanation:
Suppose you are thinking about buying one of two cars. Car A will cost $17,655. You can expect to pay an average of $1230 per year for fuel, maintenance and repairs. Car B will cost about $15,900. Fuel maintenance and repairs for it will average about $1425 per year. After how many years are the total costs for the cars the same?
A. 5 years.
B. 7 years.
C. 9 years.
D. 11 years.
At a recent meeting at the American College of Asthma, Allergy, and Immunology, researchers reported that allergy vaccinations are effective in treating sinusitis (inflammation of the membrane lining the facial sinuses) in individuals predisposed to allergies. Specifically, the researchers reported that 98% of individuals predisposed to allergies find relief from their sinusitis after allergy vaccinations. Suppose that this number is accurate and that 150 individuals predisposed to allergies are chosen at random and given allergy vaccinations.
A. Estimate the number of individuals in the random sample who do not find relief from their sinusitis by giving the mean of the relevant distribution (that is, the expectation of the relevant random variable).
B. Quantify the uncertainty of your estimate by giving the standard deviation of the distribution.
Solution :
Here we can use the Binomial distribution, as there are only two possible outcomes.
The given data:
n = 150
q = 98%
= 0.98
p = probability of not finding relief = 1 - 0.98
= 0.02
A). The number of the individuals who do not find any relief from sinusitis is :
E(x) = np
= 150 x 0.02
= 3
B). The uncertainty of my estimate is = [tex]$\sqrt{npq}$[/tex]
[tex]$=\sqrt{150 \times 0.02 \times 0.98}$[/tex]
= 1.716
Jeremy wants to buy a backpack that costs $65. Luckily, the store is having a 35% off sale. What will be the sale price of the backpack?
A)$22.75
B)$42.25
C) $87.75
D) $30
Answer:
B.$42.25
Step-by-step explanation:
I I think that's the answer
4,207 in expanded form
Answer:
4,207 in expanded form is 4,000+200+7.
Step-by-step explanation:
Hope this helps! Have an Amazing day!!
In math class, the girl to boy ratio is 8 to 6. If there are 24 girls in the class, how many boys are there? please ill rate you a five
Answer:
32boys
and
total of 56 students
Step-by-step explanation:
8:6
[tex]x \times \frac{6}{14} = 24 [/tex]
[tex]x = 24 \div \frac{6}{14} [/tex]
[tex]x = 56[/tex]
so,
[tex]56 \times \frac{8}{14} = 32[/tex]
Which statement cannot be justified by one of the properties of real numbers?
A. (a + b) + c = a + (b + c)
B. a – (b÷c) = (a – b) ÷c
C. (ab)c = a(bc)
D. (a + b) + 0 = 0 + (a + b)
Answer:
B
this answer for this question
How many faces does the polyhedron have?
Answer:
4
Step-by-step explanation:
Solve each system by elimination 9x - 6y = -21 and -9x + 9y = 18
Answer:
X= -3, Y= -1
Step-by-step explanation:
= {x, y}
= {-1.-3}
X = -1
Y = -3
ExplainLook at the picture :)
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gak bisa bahasa inggrisThe edge of each cube used to build this rectangular prism is 1/4 centimeter long. Which equation shows the volume of the prism, in cubic centimeters?
Answer:
jus trynna get points
Step-by-step explanation:
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An isosceles triangle has two identical angles.
The three angles need to add up to 180 degrees.
If one angle is 100 then the other two angles added together need to equal 180-100 =‘80 degrees.
Since two angles need to be the same the other angles are 80 / 2 = 40 degrees each.
The answer is 40
Answer:
A. first answer on the left.
Step-by-step explanation:
If one of the angles is 100 then if the triangle is isosceles then the two remaining angles have to be either 100 and - 20 (which is impossible because at this level of math there is no such thing as an angle with a measure of - 20).
The minus 20 comes from every triangle having 180 degrees. 100 + 100 adds to 200, which means the third angle has to be the impossible measure of - 20.
The other possibility is that the given angle of 100 is the top angle and that leaves 80 degrees for the two isosceles angles.
2x = 80
x = 80/2
x = 40
The only possible answer is 40 - 40 - 100
-3(2x-3)+5x=bx+9 solve for b
Simplify the algebraic expression: 6(d - 4e)
Answer:
6d - 24e
Step-by-step explanation:
using the function y =4x^2 +5x -21 estimate the slope of the curve at x= 1
Answer: 13
The derivative of this is 8x+5, plug in 1 for x. 13
locus
which figure is described below ? midpoints of radii of a circle
The figure that is described is a circle.
The locus of the midpoints of the radii of a circle is called a circle.
What is a circle?A circle is the locus of a point such that its distance from a fixed point known as the center is always constant.
A chord is a line that touched two points on the circumference of a circle.
The locus of the midpoints of the radii of a circle is called a circle.
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0.5; MATH PROBLEM HERE!!,,,,,,,,,
1.In the beautiful place of Sabang. Danao City we can see a lot of Coconut
and Mango Trees. If there are 60% Coconut Trees out
of 2.230 total number of
trees. How many Mango Trees are there? 20 pts.
a. What is asked in the probleme
b. What are given
d. What is the number sentence?
e. Show your solution and answer:
Answer:
A) Number of mango trees
B) Percentage of coconut trees = 60%
Total number of trees = 2230 trees
C)number of mango trees = 40% × 2230
D) 892 mango trees
Step-by-step explanation:
A) What is asked is the number of mango trees
B) We are given;
Percentage of coconut trees = 60%
Total number of trees = 2230 trees
C) Number sentence is defined as when we use an equation or inequality to describe an expression using numbers and signs.
We have percentage of coconut trees = 60%.
Thus, percentage of mango trees = 100% - 60% = 40%
In this case, the number sentence is; number of mango trees = 40% × 2230
D) number of mango trees = 40% × 2230 = 892
A cost center’s performance report does not include
Answer:
Step-by-step explanation:
Find the equivalent expression of 1/
4.4.4
Answer:
I think it is -4^3
Step-by-step explanation:
because I say so
Mrs. Blue is asked to select 2 students to represent her class for the student council. The teacher decides to put everyone's name in a jar and draw.
A. What is the population?
B. What is the sample?
Step-by-step explanation:
the answer is A and B hope that helps you
Someone please help this is due today and I only have 15 more mins to be able to turn it in
Answer:
A
Step-by-step explanation:
5 to the power of 2 is 25
10 to the power of 2 is 100
and so goes on..
Harry had 3 packages of gum. Altogether there were
24 pieces of gum. If all packages have the same
number of sticks of gum, how many sticks of gum are
on each package?
Given,
Number of pieces = 24
Number of packages = 3
Each package has the same number of pieces.
So,
Number of pieces in 1 package
= Number of pieces / Number of packages
= 24 / 3
= 8
Which net represents this solid figure?
Rectangular prism 5.
Net of a rectangular prism 10.
Net of a cube 4.
Net of a rectangular prism 9.
Net of a triangular prism 10.
Answer:
Net of rectangular prism 9
Step-by-step explanation:
I took the test
Situation: Find the substance's half-life, in days. Round your answer to the nearest tenth. A 50 gram sample of a substance that's used to treat thyroid disorders has a k- value of 0.1133. Enter the correct answer. N = Noe -kt DONE No = initial mass (at time t = 0) 1? N = mass at time t k = a positive constant that depends on the substance itself and on the units used to measure time t = time, in days
Find the substance's half-life , in days.
Round your answer to the nearest tenth.
Answer:
The substance's half-life is 6.1 days.
Step-by-step explanation:
The half-life of the substance can be calculated by knowing the constant decay:
[tex] t_{1/2} = \frac{ln(2)}{k} [/tex]
k: is the decay constant = 0.1133 d⁻¹
Hence, the half-life is:
[tex] t_{1/2} = \frac{ln(2)}{k} = \frac{ln(2)}{0.1133 d^{-1}} = 6.1 d [/tex]
Therefore, the substance's half-life is 6.1 days.
I hope it helps you!
You need to make 56 servings of Caesar dressing. Each serving takes 2 teaspoons of crushed garlic. How many teaspoons of crushed garlic do you need?
Answer:
112 teaspoons just multiply 56 by 2 with a calculator
Step-by-step explanation:
Answer:
11 teaspoons
Step-by-step explanation:
I hope this helps :)
Susan needs to simplify the expression shown below.
75 − ( 8 + 45 ÷ 3 ) x 2
What is the correct solution for Susan’s expression?
Answer:
The answer to 75 - ( 8 + 45 ÷ 3 ) × 2= 29
Is the unknown side a leg of the triangle or the hypotenuse?
Answer:
I think it a triangle
help please i have 3 more questions left !!
Answer:
[tex]24[/tex]°
Step-by-step explanation:
its a straight line so the total is 180, so we subtract from 180
180-156= 24
Math Question 14 Unit Rate
Answer:
40 miles per hour
Step-by-step explanation:
After 1 hour the car traveled 40 miles, after 4 hours the car traveled 160 miles. 4 x 40 = 160. Therefore 40mph.