Using exponential function concepts, it is found that the change of the growth factor of the population each half hour is given by:
b. [tex]\sqrt{\frac{1}{6}}[/tex]
e. [tex]\left(\frac{1}{6}\right)^{0.5}[/tex]
What is an exponential function?An increasing exponential function is modeled by:
[tex]A(t) = A(0)(1 + r)^t[/tex]
In which:
A(0) is the initial value.r is the decay rate, as a decimal.In this problem, the growth factor of 1/6 each hour, hence, [tex]r = \frac{1}{6}[/tex], and:
[tex]A(t) = A(0)(1 + \frac{1}{6})^t[/tex]
For each half-hour, t = 0.5, hence the growth factor is of:
[tex]\left(\frac{1}{6}\right)^{0.5} = \sqrt{\frac{1}{6}}[/tex]
Hence, options b and e are correct.
You can learn more about exponential functions at https://brainly.com/question/25537936
AREA OF A CIRCLE HELP PLS
Answer:
201.06
Step-by-step explanation:
pi × 8²
EASY POINTS!!
The diameter of this circular cutting board is 16 inches.
What is the area of the cutting board in terms of pi?
A. 32 square inches
B. 64 square inches
C. 256 square inches
D. 16 square inches
Answer:
B. 64 square inches
Step-by-step explanation:
you just add
Answer:
Step-by-step explanation:
4
Amy bakes x cakes.
Barry bakes four times as many cakes as Amy.
Ceri bakes 12 more cakes than Amy.
They bake a total of T cakes.
Find a formula, in terms of x, for the total number of cakes.
Give your formula in its simplest form
Answer:
6x+12=T
Step-by-step explanation:
Amy bakes x cakes.
Barry bakes 4x.
Ceri bakes x+12
So the total is 6x+12=T
Someone please help!
Answer:
f(3)= 12
Step-by-step explanation:
if f(1)= 4 then f(3)= 12
Enter the value of 3 over 4
Answer:
1. Three fourths
2. 3/4
3. 0.75
4. 75%
Step-by-step explanation:
i dont know which one you want
Answer:
.75
Step-by-step explanation:
3 over 4 means [tex]\frac{3}{4}[/tex], and a fraction is just a division problem. 3 ÷ 4 = .75
2) 2(8r + 5) = 24 + 9r
Answer:
r = 2
Step-by-step explanation:
2(8r + 5) = 24 + 9r
16r + 10 = 24 + 9r
16r - 9r = 24 - 10
7r = 14
r = 2
it takes 0.75 cups of sugar to make a batch of lemon cookies i have 5.5 cups of sugar how mant batches can i make
Answer:
7.3
Step-by-step explanation:
Jake scored 28 points in his basketball game by shooting only two-point and three-point shots. He scored a total of 13 baskets.
Write a system of equations to represent the number of each type of basket Jake scored.
The system of equations that represents the number of each type of basket Jake scored is given by:
x + y = 13
2x + 3y = 28
What is a system of equations?A system of equations is when two or more variables are related, and equations are built to find the values of each variable.
In this problem, the variables are:
Variable x: Number of two-point shots.Variable y: Number of three-point shots.Jake scored 28 points in his basketball game by shooting only two-point and three-point shots, hence:
2x + 3y = 28.
He scored a total of 13 baskets, hence:
x + y = 13.
More can be learned about a system of equations at https://brainly.com/question/24342899
HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP
HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP
PLEASE HELP ME ON THIS QUESTION I DONT GET IT
Among the youth that vape, what percentage smoke e-cigarettes with special flavorings? a 40% b 50% c 85% d more than 95%
Answer:
d. more than 95%
Step-by-step explanation:
According to a survey carried out by the Food Drug Administration from 2016 to 2017, termed Population Assessment of Tobacco and Health, it was discovered that a high percentage of the youth population smoked e-cigarettes with special flavorings. Specifically, it was found that 96.1% of young people within the ages of 12 to 17 started their use of e-cigarettes with the flavored options.
As at the time when the report was being published, 97% of e-cigarette users reported having used flavored e-cigarettes in the past month. The above data shows that more than 95% of youths that vape have smoked e-cigarettes with special flavorings.
The Andersons are going on a long
sailing trip during the summer.
However, one of the sails on their
sailboat ripped and they have to
replace it. The sail is pictured to the
left. If the sailboat sails are on sale
for $2 per square foot, how much will
the new sail cost? Show your work.
Answer:
$96
Step-by-step explanation
area of sail = ½×8×12= 48 sq ft
the cost of new sail = 48 × $2
= $96
A rectangular logo is made up of 3 squares and 8 small squares the length of the rectangle is 36 cm
Find the area of the logo
Answer:
The total area is 594cm.²
Step-by-step explanation:
The top and bottom each have a length of 36 cm.
Blue side:
36/3= 12cm. (36/3 for the length of one side of a blue square)
12*12= 144cm.² (area of one blue square)
144*3= 432cm.² (area of all the blue squares)
Orange side:
36/8= 4.5cm. (the length of one side of an orange square)
4.5*4.5= 20.25cm.² (the area of one orange square)
20.25*8= 162cm.² (the area of all the orange squares)
Total area:
432+162= 594 cm.²
I hope this makes more sense, have a great day :D
Inscribed angles math lib
Need help with number 2 , 3 , and 4 thank you!!!
Answer:
See solutions below
Step-by-step explanation:
2) angle at the vertex is half that of its intercepted arc;
51 = 1/2(14x-38)
51*2 = 14x-38
102 = 14x-38
14x = 102 + 38
14x = 140
x = 140/10
x = 14
3) 9x+7 = 1/2(68)
9x + 7 = 34
9x = 34-7
9x = 27
x = 27/9
x = 3
4) 114 = 1/2(30-(8x-36+40))
114 = 1/2(360-8x+36-40)
114*2 = 356 - 8x
-8x = 228-356
-8x = -128
x = 128/8
x = 16
Answer:2
Step-by-step explanation:
51+14x-38=180
13+14x=180
14=167
X=12
What is the value of
NICO
?
81
16
16
81
16
81
81
16
Solve the inequality and describe the solution set.
y–6≥12
Answer:
y ≥ 18
All numbers greater than or equal to 18
Step-by-step explanation:
y – 6≥ 12
Add 6 to both sides
y ≥ 18
All numbers greater than or equal to 18
What is the probability that the arrow will land on 1 or 2?
A. 2/5
B. 2/3
C. 3/4
D. 1/5
The probability that the arrow will land on 1 or 2 is 2/5.
What is Probability ?Probability is the ratio of occurring a certain event out of the total possible events.
If the given statement contains OR we use addition and if the given statement contains AND we use multiplication.
From the given data
Total no. of regions in the circle is 5
The probability that the arrow will land on 1 or 2 is
P(1) = 1/5
P(2) = 1/5
∴ P(1) or P(2) is
= 1/5 + 1/5
= 2/5
Here we have used addition because of OR statement.
Learn more about Probability :
https://brainly.com/question/11234923
#SPJ1
What is the correct algebraic representation of the transformation displayed on the graph?
A- (y,-x)
B- (-y,x)
C- (-x,y)
D- (-x,-y)
Answer:
[tex]transformation: (y,-x)[/tex]
----------------------------
hope it helps...
have a great day!!
Please do all four, thanks :)
I'm feeling generous today *40 points*
Step-by-step explanation:
A. x^2-9x+18
B. x^2-8x+16
C. 2x^2-5x-12
D. 12x^2-31x+7
20 POINTS! The managers of an automotive insurance company investigated whether the customers in region A have a higher proportion of speeding tickets than the customers in region B. The managers selected 154
customers from region A at random and found that 79 have had a speeding ticket. The managers also selected 148 customers from region B and found that 67
have had a speeding ticket.
To test whether the results could be explained by random chance, the managers simulated 1,000 rerandomizations of the data and then subtracted the sample proportion of region B from the sample proportion of region A in each of the simulations. The table shows the results of the differences.
SEE PICTURES BEFORE ANSWERING
Answer:
Every year, a pet food company sells its food to stores across the nation. ... In the first month of the new year, the Midwest region secured sales orders from ... Suppose the strategy of the pet food company is to increase the proportion of ... Do you think additional field training is necessary for all of the sales representatives?
Step-by-step explanation:
HELPPPP PLEASE HELP ME WITH BASIC MATH I REALLY APPRECIATE IT ((WILL MARK AS BRAINLIEST))
Answer:
3) 522
4) 468
Step-by-step explanation:
hello!
3) in the question, it says the cross section is a square, and the area of PQRS is 81.
for the square, we know that the length and height have to be the same, so if the area is 81, then we know the sides are both 9 because 9*9 is 81 and they're the same numbers multiplied. (same height and length)
with the information that all 4 sides of the square is 9 and the other side is labeled 10, we can figure out the rest.
both squares : 81+81=162
both 10 by 9 sides: 90+90=180
both 10 by 9 sides (top and bottom): 90+90=180
total surface area=162+180+180=522
4) for this problem, we can see that the triangle is a right triangle.
to solve the area of the triangle, we can do (9*12)/2=108/2=54.
there are two sides with triangles, so we double 54 (54*2=108)
9 by 10 side: 90
10 by 12 side: 120
now for the last slide, theres no information on the length. the formula for the diagonal is
a^2+b^2=c^2
which is
9^2+12^2=81+144=255=15^2
with this, the area of the rectangular side gives us 10*15 which is 150.
adding it together, we get
108+90+120+150=468.
hope this helps!
What is the quotient StartFraction 15 p Superscript negative 4 Baseline q Superscript negative 6 Baseline Over negative 20 p Superscript negative 12 Baseline q Superscript negative 3 Baseline EndFraction in simplified form? Assume p not-equals 0, q not-equals 0.
Answer:
[tex]-\frac{3p^8}{4q^3}[/tex]
Step-by-step explanation:
[tex]\frac{15p^{-4}q^{-6}}{-20p^{-12}q^{-3}}[/tex] can be broken down into three fractions, coefficients, powers of p, powers of q.
[tex]-\frac{15}{20}\cdot\frac{p^{-4}}{p^{-12}}\cdot\frac{q^{-6}}{q^{-3}}[/tex]
Simplify the first fraction, then simplify the others by subtracting numerator exponents minus denominator exponents.
[tex]-\frac{3}{4} p^{-4-(-12)} q^{-6-(-3)} =-\frac{3}{4} p^8 q^{-3} = \alpha -\frac{3p^8}{4q^3}[/tex]
A coke can and a monster can are each in the shape of a right circular cylinder. The cans have the same radius but the height of the monster can is 2 times the height of the coke can. What is the ratio of the volume of the coke can to the volume of the monster can
Answer:
1 : 8
Step-by-step explanation:
Given the height of 2 similar cylinders = a : b , then
ratio of volumes = a³ : b³
Here the ratio of heights = 1 : 2
ratio of volumes = 1³ : 2³ = 1 : 8
The triangular face of the given prism has an interior angle with a measure of 55° and an exterior angle with a measure of 95°. What is the measure of the marked interior angle?
Answer:
40 degrees
Step-by-step explanation:
sum of angles in a triangle = 180 degrees
if the exterior angle measures = 95, the interior angle beside it would measure 180 - 95 = 85
marked interior angle = 180 - (85 + 55) = 40 degrees
Answer:
As ewomazinoade states 40° should be the correct answer.
Can You Help Me With This Please?
Answer:
Step-by-step explanation:
Thats what i got but you still have to do the other 2 steps i am not sure how, but i hope that helps!
what is 6/10 in simplist form
Answer:
3/5
Step-by-step explanation:
both 6 and 10 divide by 2. divide each number by 2 and you get 3/5
Answer:
3/5
Step-by-step explanation:
To find the simplest form of 6/10, you must reduce the fraction.
I did this by dividing both the numerator and denominator by 2, therefore making it 3/5, (because it cannot be reduced evenly anymore).
Hope this helps :)
Tim's credit card has a restriction that he must pay either 15 percent of the unpaid balance or $25, whichever is greater
Which will he pay if he has an unpaid balance of $216?
A) $25
B) 15%
Answer:
He has to pay 15% as that is 32 and more than $25
Step-by-step explanation:
If you take 15% out of 216 it will become 32.
PLEASE HELP ASAP I WILL MARK BRANLIST!!!!!!
Of 10 test scores, six are less than or equal to 82 What is the percentile rank of a test score of 82?
The percentile rank of 82 is…
Answer:
60% of the test scores are less than or equal to 82
Step-by-step explanation:
Find the volume of the rectangular pyramid
Thank you!!
Answer:
72
Step-by-step explanation:
Please help me answer this i’m being timed, tysm ur the best!:)
Answer:
See below.
Step-by-step explanation:
X-intercepts: (-1, 0) & (5, 0)
Y-intercept: (0, -5)
Vertex: (2, -9)
Axis of Symmetry: x = 2