Answer:
(c) f(x) = 500(5^x)
Step-by-step explanation:
An exponential function is one that has the independent variable (x) in the exponent. The initial value of an exponential function (or any function) is the value when x=0.
__
Examine the ChoicesYou are looking for a function with x in the exponent, and with an initial value of 500. Eliminate answer choices that don't have x in the exponent. Evaluate the remaining choices for x=0 and see which gives you a value of 500.
f(x) = 100(5)^x ⇒ f(0) = 100·1 = 100 ≠ 500
f(x) = 100(x^5) . . . not an exponential function
f(x) = 500(5)^x ⇒ f(0) = 500·1 = 500 . . . . . the function you're seeking
f(x) = 500(x^2) . . . not an exponential function
Answer:
a
Step-by-step explanation:
Sam has a small paper delivery business. His parents require him to to save $1 every $5 he earns. If he made $200, how much would he need to save
Part A: Describe two types of transformations that can be used to transform f(x) to g(x). (2 points)
Part B: Solve for k in each type of transformation. (4 points)
Part C: Write an equation for each type of transformation that can be used to transform f(x) to g(x). (4 points)
A) The transformations can be a vertical translation and an horizontal translation.
B) K = 8 and K' = 16
C) g(x) = f(x + 8)
g(x) = f(x) + 16.
Which type of transformation could be used?
A ) By looking at the graph, we see that g(x) can be a translation to the left by K units or up by K' units.
B) In the case the translation is to the left, we can see that it the graph is moved 8 units, so K = 8.
In the case that the translation is up, we can see that it is for 16 units, so we have k' = 16.
C) How to write the equations?
An horizontal translation is written as:
g(x) = f(x + K).
Because the translation is to the left, we have that K is positive, then in our case we have:
g(x) = f(x + 8).
For the vertical translation the formula is:
g(x) = f(x) + K'
In our case, we have:
g(x) = f(x) + 16
If you want to learn more about transformations, you can read:
https://brainly.com/question/4289712
Answer:The transformations can be a vertical translation and an horizontal translation.B) K = 8 and K' = 16C) g(x) = f(x + 8) g(x) = f(x) + 16.Which type of transformation could be used?A ) By looking at the graph, we see that g(x) can be a translation to the left by K units or up by K' units.B) In the case the translation is to the left, we can see that it the graph is moved 8 units, so K = 8.In the case that the translation is up, we can see that it is for 16 units, so we have k' = 16.C) How to write the equations?An horizontal translation is written as:g(x) = f(x + K).Because the translation is to the left, we have that K is positive, then in our case we have:g(x) = f(x + 8).For the vertical translation the formula is:g(x) = f(x) + K'In our case, we have:g(x) = f(x) + 16
Step-by-step explanation:
Hamilton, NY has 73465 residents, and 12 members on their Board of Trustees. The three districts of Basel, Heights, and Dagonal have the following populations:
Basel: 13,244 Heights: 30, 415 Dagonal: 29,806
Determine the standard quota (to two decimal places) for the Dagonal district.
6) Gotham City is to apportion 16 seats to districts with populations as follows:
North: 785 South: 1,125 East: 1,950 West: 415
Find the standard divisor
What are the standard, lower, and upper quotas for the four districts?
a) The determination of the standard quota for the Dagonal district is 40.57%.
b) 1. The standard divisor is 267.19 (4,275/16).
2. The standard, lower, and upper quotas for the four districts are as follow:
North South East West
Standard quota 18.36% 26.32% 45.61% 9.71%
Lower quota 18% 26% 45% 9%
Upper quota 18% 26% 46% 10%
What is the quota method of apportionment?The quota method of apportionment is the use of the standard divisor to round off standard quotas, according to some agreed ground norms.
When the standard quota is rounded down to an integer, it gives the lower quota, and rounding up gives the upper quota.
The standard divisor is calculated as the total population divided by the total number of seats.
The standard divisor gives the average number of people represented by a Board or seat member.
Data and Calculations:
Hamilton, NY Population:Residents of Hamilton, NY = 73,465
Board Trustee Members = 12
Basel Heights Dagonal Total
Population 13,244 30, 415 29,806 73,465
Proportion 18.03% 41.40% 40.57% 100%
Allocation of Board
Seats 2 5 5 12
Gotham City Population:Number of seats = 16 seats
North South East West Total
Population 785 1,125 1,950 415 4,275
Proportion 18.36% 26.32% 45.61% 9.71% 100%
Allocation of Board
Seats 3 4 7 2 16
Learn more about the quota system at https://brainly.com/question/12105335
If 1 penguin has a mass of 6 kg, what is the mass of 9 penguins?
Answer:
54 kg
Step-by-step explanation:
We need to multiply!!
6 x 9 = 54
Have an amazing day!!
Please rate and mark brainliest!!
A radioactive substance decays exponentially. A scientist begins with 190 milligrams of a radioactive substance. After 19 hours, 95 mg of the substance remains. How many milligrams will remain after 36 hours?
Answer:
51 milligrams
Step-by-step explanation:
Exponential growth or decay can be modeled by the equation ...
y = a·b^(x/c)
where 'a' is the initial value, 'b' is the "growth factor", and 'c' is the time period over which that growth factor applies. The time period units for 'c' and x need to be the same.
In this problem, we're told the initial value is a = 190 mg, and the value decays to 95 mg in 19 hours. This tells us the "growth factor" is ...
b = 95/190 = 1/2
c = 19 hours
Then, for x in hours the remaining amount can be modeled by ...
y = 190·(1/2)^(x/19)
__
After 36 hours, we have x=36, so the remaining amount is ...
y = 190·(1/2)^(36/19) ≈ 51.095 . . . . milligrams
About 51 mg will remain after 36 hours.
Mia drew a scale drawing of a game room. The air hockey table is 6 inches wide in the
drawing. The actual air hockey table is 4 feet wide. What scale factor does the drawing use?
Simplify your answer and write it as a fraction.
Answer:
8x
Step-by-step explanation:
The drawing of the air hockey table is 1/8th the size of the actual air hockey table so the scale factor the drawing uses is 8x
A rectangular prism has a length of 12 meters, a width of 3 meters, and a height of
meters
Enter the volume of the prism as a mixed number in simplest form in the box
meters
Answer:
Volume of Prism = 1/2×h×l×b
I think the formula will help you.
There is no Height, I think question is incomplete
A coin is flipped 8 times. Find the probability of the event: Exactly 5 heads
a.0.625
b.0.03125
c.0.219
d.0.0039
Answer:
c. 0.219
Step-by-step explanation:
If the coin is fair, then the probability of flipping a head is 1/2 = 0.5
Therefore, we can model this as a binomial distribution:
X ~ B(n, p) where n is the number of events and p is the probability of success
Given:
n = 8p = 0.5X ~ B(8, 0.5)
Using a calculator:
P(X = 5) = 0.21875 = 0.219 (3 dp)
Using the formula:
[tex]\sf P(X=x)=\dfrac{n!}{(n-x)!x!}p^x(1-p)^{n-x}[/tex]
(where n is the number of events, x is the number of desired successes and p is the probability of success)
[tex]\sf \implies P(X=5)=\dfrac{8!}{(8-5)!5!}0.5^5(1-0.5)^{8-5}[/tex]
[tex]\sf \implies P(X=5)=\dfrac{8!}{3!5!}0.5^50.5^3[/tex]
[tex]\sf \implies P(X=5)=56 \cdot 0.5^8[/tex]
[tex]\sf \implies P(X=5)=56 \cdot \dfrac{1}{256}[/tex]
[tex]\sf \implies P(X=5)=\dfrac{7}{32}[/tex]
[tex]\sf \implies P(X=5)=0.21875[/tex]
Use synthetic division to divide:
(2x^4+5x^3-3x^2-x+1) / (x+2)
Answer:
[tex]2x^3 +x^2 -5x+9 -\frac{17}{x+2}[/tex]
Step-by-step explanation:
See picture for explanation
i need help with this problem
Step-by-step explanation:
Pythagoras theorem
16²=7²+a²
a²=16²-7²
a²= 256 -49
a²=207
a=√207
a=14.38
a≈14.4 in. (approx)
Answer:
Step-by-step explanation:
As it is a right angle triangle, we can use Pythagorean theorem to find a
base² + altitude² = hypotenuse²
7² + a² = 16²
49 + a² = 256
a² = 256 - 49
a² = 207
a = √207
a = 14.4 in
Out of 20 friends, 4/5 are going to the party. How many friends are going to the party?
Answer:
16.
Step-by-step explanation:
Multiply 20 and 4/5 to get the result of who is going.
20 * (4/5)
(20*4)/5
80/5
16
16 friends will be going to the party.
Answer:
16 friends
Step-by-step explanation:
Out of 20 friends, 4/5 are going to the party. How many friends are going to the party?
4/5 * 20 or 20 * 4/5
[tex]\frac{4}{5}*20\\\\ \frac{4}{5} *\frac{20}{1} < ==reduce\\\\\frac{4}{1}* \frac{4}{1}\\\\\frac{16}{1} \\\\16[/tex]
Therefore, 16 friends are going to the party.
Hope this helps!
How to find an slope
Answer:
Y2-Y1
____
X2-X1
To FIND SLOPE. YOU DIVED THE DIFFERENCE OF THE Y- COORDINATES OF 2 POINTS ON LINE BY THE DIFFERENCE OF THE X- COORDINATES OF THOSE SAME 2 POINTS.
I THINK IT IS HELPFUL FOR YOU.?
Can someone help me with this? i am very confused.
Check the picture below.
the lengths of the corresponding horizontal lines is the same on each figure, 4 and 1.
the slope in red is the same for both figures, and the slope in yellow is the same on each figure, meaning the slanted sides on each figure is also the same length.
so the lengths in each figure is the same and the angles are also the same, so the shapes are congruent, and since they're congruent the scale factor will simply be 1 to 1 or 1:1, since neither is smaller or larger than the other.
Modern Electronics offers a one-year monthly installment plan for a big screen TV. The payment for the first month is 882, and then it increases by 4% each month for the rest of the year. Which expression can be used to find the total amount paid in the first 12 months?
✿————✦————✿
Answer: A
[tex]62=\frac{12(1.04^{12}-1) }{1.04-1}[/tex]
✿————✦————✿
what is the area of the triangle
Answer:
6
Step-by-step explanation:
A=(bh)/2
a=(4*3)/2
a=12/2
a=6
Answer: 12 units 2
Step-by-step explanation:base times hight
Help help help help help help
Answer:
The total of this whole angle, which is represented by ∠ABD, measures 64°.
We are given that apart of this angle, ∠CBD measures 30°, so that'd mean that the other part of this angle, ∠ABC, would measure 34°.
This is because both angles ABC and CBD combined would equal a total of 64°.
So we set up the equation;
30 + x = 64
-30 -30
x = 34°, therefore ∠ABC = 34°.
Answer:
m∠ABC = 34°
Step-by-step explanation:
Given:
m∠ABD = 64°
m∠CBD = 30°
BC is the angle bisector of ∠ABD, which means that an angle is cut in half into two equal pieces. The line divides an angle into two angles.
∠ABC + ∠CBD = ∠ABD
m∠ABC = m∠ABD - m∠CBD
m∠ABC = 64° - 30°
m∠ABC = 34°
hope this helps!! p.s. i really need brainliest :)
Explain how to find the length of one side of a regular polygon if you are given its perimeter.
I
Answer:
If you are only given the perimter, then you can only find the side lengths of a square
Step-by-step explanation:
e.g. say perimeter = 16
16 / 4 = 4 so each length is 4.
pls i need help asap
what's the area of this figure?
Answer:
35
area of traingle b xh/2 5x4/2 - 10
area of square lxl - 5x5 -25
add- 35
Answer:
The answer would be 35.
Step-by-step explanation:
The area of the shape would be 35 square centimeters because if we divide the shape into 3 different shapes, a square on the bottom and 2 triangles at the top, we can multiply the square's length and width to get an area of 25. Next, we'll multiply the 2 triangles length of 4 with the width of 5 to get a total area of 20 from both of them, we'll then divide the area of 20 by 2 to get 10. Now add 20 and 10 to get 35.
serious help needed ASAP :(( with the file attached will give brainliest if possible
optionally would also appreciate an extra answer to this question: https://brainly.com/question/27139711 (that can be posted there instead of here if you want)
spending max amount of points that can be in a single question
thanks
Answer:
a) (x=6); b) (x= -5.5)
Step-by-step explanation:
find the midpoint of each of the pairs of coordinates.
((x1 + x2)/2 , (y1 +y2)/2)
Find mid points
#1
(3,2) (9,2)[tex]\\ \rm\rightarrowtail (\dfrac{3+9}{2},\dfrac{2+2}{2})[/tex]
[tex]\\ \rm\rightarrowtail (\dfrac{12}{2},\dfrac{4}{2}[/tex]
[tex]\\ \rm\rightarrowtail (6,4)[/tex]
We know x is fixed
So Axis of symmetry=x=6
#2
(-18,3)(7,3)[tex]\\ \rm\rightarrowtail (\dfrac{-11}{3},2)[/tex]
[tex]\\ \rm\rightarrowtail (-5.5,2)[/tex]
Axis of symmetry
x=-5.5Element X is a radioactive isotope such that every 81 years, its mass decreases by half. Given that the initial mass of a sample of Element X is 1800 grams, how much of the element would remain after 28 years, to the nearest whole number?
Answer:
1426
Step-by-step explanation:
this question has been asked before and answered incorrectly but people corrected them in the comments.
Kaseem had 1/4 box of candy. He ate 1/2 of the candy. What fraction of the box did Kaseem eat? Show all work.
Answer:
1/8
Step-by-step explanation:
So he had 1/4 of a candy box and he ate 1/2 of it. 1/2 of 1/4 is 1/8 because 1/4 × 1/2 =1/8
Please write no more than two paragraphs. Assignment is worth 25 points We have been talking about variables and how they are measured. For this assignment, I have assigned a paper for you to study on the potential impacts of a paleolithic diet on cardiovascular markers in patients with diabetes.
The impact of a paleolithic diet on cardiovascular markers in patients with diabetes is that it increases the concentration of certain fats in the blood.
What is diabetes?It should be noted that diabetes simply means a condition when the blood glucose is too high.
In this case, the impact of a paleolithic diet on cardiovascular markers in patients with diabetes is that it increases the concentration of certain fats in the blood. It's simply a risk factor for heart diseases.
Learn more about diabetes on:
https://brainly.com/question/504794
The volume of a rectangular prism is
3,000 cm?. If the width of the prism is 10 cm
and the height is 15 cm, what is the length
of the prism in centimeters?
Answer:
To find the volume of a rectangular prism, multiply the length, width, and height. The unit for measuring the volume of a rectangular prism is cubic units, i.e., cm3, mm3, in3, m3, etc.
Step-by-step explanation:
hope it helps
What is five sixths divided by nine thirds?
Answer:
0.270.27777777777
Step-by-step explanation:
You draw a diagram and color each side in for both of them
Pls help me
Question 4 Part A (5 points):
Carlos started a business growing palm trees in South Florida.
The function t(s) = 3s + 20 represents the
number of palm trees that grew, where s is the
number of seeds he planted.
The function s(d) = 20d represents the number
of seeds he plants per day, where d represents
the number of days.
Write a composite function that represents
how many palm trees Carlos can expect to
grow over a certain number of days.
The composite function combines the palm tree and the seed functions
The composite function is t(d) = 60d + 20
How to determine the composite functionsThe functions are given as:
Number of palm trees: t(s) = 3s + 20
Number of seeds: s(d) = 20d
The composite function that represents the number of palm trees Carlos can expect to grow over a certain number of days is represented as:
t(s(d))
This is calculated as:
t(s(d)) = 3s(d) + 20
Substitute s(d) = 20d
t(s(d)) = 3 * 20d + 20
Evaluate the product
t(s(d)) = 60d + 20
Rewrite as:
t(d) = 60d + 20
Hence, the composite function is t(d) = 60d + 20
Read more about composite functions at:
https://brainly.com/question/10687170
Please help pls pls pls pls it’s due soon
Answer:
the answer is 67.5
Step-by-step explanation:
look at the photo
If a coat was marked down 20% and the sale price is $55.60, what is the original price?
Answer:
$69.50
Step-by-step explanation:
As it was marked down 20%, this means the sale price would be 100-20=80%.
When 80% ---- cost $55.60
Therefore when 100% ---- cost = $55.60 * 100/80
So when we solve this, we get the final ans $69.50
write THREE equivalent fractions for the following fractions:
25/50 = ___ = ___ =____
Answer:
25/50 = 5/10 = 1/2
Step-by-step explanation:
I hope it will be helpful
Answer:
25/50 = 5/10 = 1/2Hooe this helps you :)What is the next time: 8:30 A.M., 10:00 A.M., 11:30 A.M., _______? A) 1:00 P.M. B) 1:00 A.M. C) 1:30 P.M. D) 1:30 A.M.
Answer:
A 1 PM
Step-by-step explanation:
Becasue it grows by an hour and a half each time
Answer: Easy. A. 1 pm.
.
Write the next whole number after 4444 in the base-five system.
====================================================
Explanation:
4+1 = 5 in base 10
But in base 5, the digit "5" does not exist.
The only digits in base five are: 0, 1, 2, 3, 4
This is similar to how in base ten, the digits span from 0 to 9 with the digit "10" not being a thing (rather it's the combination of the digits "1" and "0" put together).
----------------
Anyways let's go back to base 5.
Instead of writing 4+1 = 5, we'd write 4+1 = 10 in base 5. The first digit rolls back to a 0 and we involve a second digit of 1.
Think how 9+1 = 10 in base 10.
Similarly,
44+1 = 100 in base 5
444+1 = 1000 in base 5
4444+1 = 10000 in base 5
and so on.
----------------
Here are the first few numbers in base 5, when counting up by 1 each time.
0, 1, 2, 3, 4,
10, 11, 12, 13, 14,
20, 21, 22, 23, 24,
30, 31, 32, 33, 34,
40, 41, 42, 43, 44,
100, 101, 102, 103, ...
Notice each new row is when the pattern changes from what someone would expect in base 10. This is solely because the digit "5" isn't available in base 5.