Answer:
[tex]y=(\frac{5}{4})^x[/tex]
[tex]y=5^x[/tex]
Step-by-step explanation:
we know that
In a exponential function of the form
[tex]y=a(b^x)[/tex]
where
a is the initial value
b is the base
If the value of b >1 ----> then is a exponential growth
If the value of b <1 ----> then is a exponential decay
Verify each case
case a) we have
[tex]y=(\frac{5}{4})^x[/tex]
[tex]b=\frac{5}{4}[/tex]
b> 1
therefore
The function represent exponential growth
case b) we have
[tex]y=(4)^{-x}[/tex]
[tex]b=\frac{1}{4}[/tex]
b< 1
therefore
The function represent exponential decay
case c) we have
[tex]y=5^x[/tex]
[tex]b=5[/tex]
b> 1
therefore
The function represent exponential growth
case d) we have
[tex]y=(\frac{4}{5})^x[/tex]
[tex]b=\frac{4}{5}[/tex]
b< 1
therefore
The function represent exponential decay
The functions y=(5/4)^x and y=5^x represent exponential growth since the value of the function increases as the exponent (x) increases. This pattern follows the characteristic of exponential growth, where larger values lead to faster rates of increase.
Explanation:Exponential growth occurs in mathematics when a quantity increases by a fixed percentage or fraction over equal intervals of time. This can be represented by a mathematical function where the variable is an exponent. Looking at the provided options, let's determine which ones represent exponential growth:
y=(5/4)^x: This function represents exponential growth because as x increases, the value of the function also increases proportionally.y=4^-x: This function does not represent exponential growth; instead, it represents exponential decay, as the value of the function decreases as x increases.y=5^x: This is a classic example of exponential growth, with the base 5 being raised to the power of x. As x increases, the function's value grows exponentially.y=(4/5)^x: Similar to the second function, this represents exponential decay, not growth, as the function's value diminishes as x increases.Therefore, the functions that represent exponential growth are y=(5/4)^x and y=5^x.
31. What is the value of x? 11 3 6 12
Answer:none of the above
Step-by-step explanation:
Write and solve a word problem to match the equation 6×?=48
Answer:
Jack has 48 rockets in all. He wants to split them equally into 6 groups. How much rockets do he put into each group?
Let "how much" = x. Set the equation:
x * 6 = 48
(x * 6)/6 = (48)/6
x = 48/6
x = 8
8 groups is your answer.
~
Each bag of candy the factory makes contains 120 pieces of chocolate candy. This week, the factory produced 1800 pieces. Solve the equation below for p to find the number of bags of candy the factory produced. 120p = 1800
Answer:
15 bags
Step-by-step explanation:
120p = 1800
p = 1800/120 =180/12 = 15
Final answer:
To find the number of bags of candy produced, divide 1800 by 120 to get p, which results in p = 15, indicating the factory made 15 bags of candy.
Explanation:
The student is asked to solve the equation 120p = 1800 for p to find out the number of bags of candy the factory produced. In order to find p, we need to perform algebraic operations to isolate the variable on one side of the equation. Here's the step-by-step solution:
Therefore, the factory produced 15 bags of candy.
17x+6y=17 in slope intercept form
Answer:
6y = -17x + 17
Step-by-step explanation:
All you have to do for this equation to put it into slope-intercept form is to minus 17x from both sides giving you 6y = -17x + 17 which is the correct form. Then you can simplify by dividing everything by 6 but I'll let you do that.
A quadrilateral has the following coordinates:
Point A: (4, 7)
Point B: (–4, 7)
Point C: (–4, –7)
Point D: (4, –7)
Enter the length of side CD.
Answer:
8 units
Step-by-step explanation:
-4 is 4 units from the y-axis
4 is 4 units from the y-axis.
4 + 4 = 8 units
Have a great day :D
if 8 students have cell phones and two don’t what’s the percentage of high school freshman that don’t have a cell phone?
Answer:
75%
Step-by-step explanation:
4/5 ÷ 7/6 + 2/7 ∙2 1/5
Step-by-step explanation:
We have,
[tex]\dfrac{4}{5}[/tex] ÷ [tex]\dfrac{7}{6}[/tex] + [tex]\dfrac{2}{7}.2\dfrac{1}{5}[/tex]
To find, the value of [tex]\dfrac{4}{5}[/tex] ÷ [tex]\dfrac{7}{6}[/tex] + [tex]\dfrac{2}{7}.2\dfrac{1}{5}[/tex] = ?
∴ [tex]\dfrac{4}{5}[/tex] ÷ [tex]\dfrac{7}{6}[/tex] + [tex]\dfrac{2}{7}.2\dfrac{1}{5}[/tex]
[tex]=\dfrac{4}{5}\times \dfrac{6}{7} +\dfrac{2}{7}.\dfrac{8}{5}[/tex]
[tex]=\dfrac{24}{35} +\dfrac{16}{35}[/tex]
Taking LCM of denominator, we get
[tex]=\dfrac{24+16}{35}[/tex]
[tex]=\dfrac{40}{35}[/tex]
Dividing numerator and denominator by 5, we get
[tex]=\dfrac{8}{7}[/tex]
∴ The value of [tex]\dfrac{4}{5}[/tex] ÷ [tex]\dfrac{7}{6}[/tex] + [tex]\dfrac{2}{7}.2\dfrac{1}{5}[/tex] [tex]=\dfrac{8}{7}[/tex]
Hence, the value of [tex]\dfrac{4}{5}[/tex] ÷ [tex]\dfrac{7}{6}[/tex] + [tex]\dfrac{2}{7}.2\dfrac{1}{5}[/tex] is equal to [tex]\dfrac{8}{7} .[/tex]
Will mark brainliest and 15 points, please and thank you
Answer:
Student 3 and Student 4
Step-by-step explanation:
Expand equation of Student 3
y = 2 (x - 1)
y = 2x -2, which is the same equation as student 4.
(Compound inequalities)
Solve for x.
-8x + 3 ≥ 27 and -13x + 5 ≥ 57
Choose 1 answer:
A: x ≤ -4
B: x ≤ -3
C: -4 ≤ x ≤ -3
D: There are no solutions
E: All values of x are solutions
Answer:
C: -4 ≤ x ≤ -3
Step-by-step explanation:
-8x + 3 ≥ 27
x ≤ -3
-13x + 5 ≥ 57
x ≤-4
It’s A y’all mad goofy for choosing C
X < -4
The graph of the function f(x) = -(x + 3)(x - 1) is shown
below.
Answer: i think the answer is A
Step-by-step explanation:
dont quote me
The table compares the initial amount of fuel Li Jing's car had, and the total distance she traveled using that amount, in several different occasions.
Can the total distance be represented as a function of fuel?
Fuel (liters) 1st # , Distance (kilometers) 2nd #
30 100
35 120
40 140
35 120
45 160
25 90
30 100
20 80
Yes or No and why?
Answer:
answer is yes
Step-by-step explanation:
Yes, the total distance can be represented as a function of fuel. The relationship between the two variables can be represented by a linear function. By calculating the slope and y-intercept of the line, we can determine the equation representing the total distance as a function of fuel. which is y = 4x - 20
Explanation:Yes, the total distance can be represented as a function of fuel. In this case, the fuel can be considered as the independent variable and the total distance as the dependent variable. By analyzing the table, we can observe that as the amount of fuel increases, the total distance also increases. This relationship can be represented using a linear function, since the data points seem to form a straight line.
A linear function can be written in the form y = mx + b, where y represents the total distance, x represents the amount of fuel, m represents the slope of the line (which indicates how the total distance changes with each unit of fuel), and b represents the y-intercept (which represents the initial distance when there is no fuel).
By calculating the slope of the line using two data points, we can determine the equation of the linear function. For example, using the first and second data points, we can calculate the slope as:
m = (120 - 100) / (35 - 30) = 20 / 5 = 4
With this information, we can write the function representing the total distance as a function of fuel:
y = 4x + b
To determine the value of b (the y-intercept), we can select any data point and substitute the values of x and y into the function. Let's use the first data point:
100 = 4(30) + b
Solving this equation, we find that b = -20.
Therefore, the equation representing the total distance as a function of fuel is:
y = 4x - 20
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Ramon has 7/8 of a cup of cottage cheese. How many 1/4 cup servings can he make?
Answer:
Ramon can make 3 1/2 or 3.5 servings of 1/4 of a cup each one
Step-by-step explanation:
1. What information was given to us to answer the question correctly?
Amount of cottage cheese Ramon has = 7/8 of a cup
2. How many 1/4 cup servings can he make?
For answering this question, we make this calculation:
7/8 * 1/4
7/8 * 4/1 = 28/8 = 7/2 or 3 1/2 cup servings
This means that Ramon can make 3 1/2 or 3.5 servings of 1/4 of a cup each one:
1/4 + 1/4 + 1/4 + (1/2 * 1/4) = 7/8
3/4 + (1/2 * 1/4) = 7/8
3/4 + 1/8 = 7/8
6/8 + 1/8 = 7/8
7/8 = 7/8
A trapezoid was broken into a rectangle and a triangle. A trapezoid is broken into a rectangle and a triangle. The rectangle has a base of 8 centimeters and a height of 6 centimeters. The triangle has a base of 2 centimeters and a height of 6 centimeters. What is the length, b, of the base of the triangle?
Answer:
4 cm
Step-by-step explanation:
this is the answer on egde:)
Answer: 2
Step-by-step explanation:
I got it right on a unit test review
If the butcher paper is 21 inches long,what is the area of one circle
Answer:
=[tex]12.25[/tex][tex]\pi[/tex]
Step-by-step explanation:
Given:
Length of butcher paper,(diameter of three congruent circle) = 21 inches
Means, diameter of a circle = [tex]\frac{21}{3}[/tex] = 7 inches
Questioned asked:
Area of one circle = ?
Solution:
Radius of a circle ,r = half of of one circle's diameter
r = [tex]\frac{7}{2}[/tex]
= [tex]3.5[/tex]
Area of circle = [tex]\pi[/tex][tex]r^{2}[/tex]
[tex]3.5\times3.5[/tex] [tex]\pi[/tex]
=[tex]12.25[/tex][tex]\pi[/tex]
Therefore, Area of one circle ==[tex]12.25[/tex][tex]\pi[/tex]
There are 1,087 souvenir paperweights that need to be packed in boxes. Each box will hold 11 paperweights. How many boxes will be needed? boxes will be needed to hold all the souvenir paperweights.
Answer:
99 boxes (98.8181818182 rounded)
Step-by-step explanation:
All you do is divide 1087 by 11 and then round, 98 full boxes and 1 not totally full
Help ASAP ! Please !!!
Answer:
Step-by-step explanation:
Volume = 4/3πr³
= 4/3*22/7*7*7*7
= 4*22*7*7*7/3*7
=4*22*7*7/3= 4312/3
= 1437.3 cm³
Evaluate the expression when y=-6.
y² + 7y - 5
When y is equal to -6, the evaluation of the formula [tex]y^2 + 7y - 5[/tex] is -11.
Explanation:In order to assess this mathematical statement when y=-6, we substitute -6 for y in the expression y² + 7y - 5.
In the expression, swap out y for -6. This gives us (-6)² + 7(-6) - 5.Total up each component. 36, 42, and 5 are the results. Addition and subtraction are to be done left to right. 36 - 42 therefore equals -6, and -6 - 5 equals -11.
This evaluation's outcome is a score of -11.
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On Tuesday, a local hamburger shop sold a combined total of 600 hamburgers and cheeseburgers. The number of cheeseburgers sold was three times the
number of hamburgers sold. How many hamburgers were sold on Tuesday?
Answer:
Step-by-step explanation:
h + c = 600
c = 3h
now we sub
h + 3h = 600
4h = 600
h = 600/4
h = 150 <=== hamburgers sold on Tuesday
c = 3h
c = 3(150)
c = 450....and 450 cheeseburgers sold
which angle is supplementary to DFA?
Answer:
<AFB
Step-by-step explanation:
Supplementary angles are the angles that's sum up to 180° which is called a straight angle.
In this question we see AFB is supplementary to DFA for DFB is the straight angle.
Mr. Stewart picked 1/2 of a pound of berries. He divided them evenly among 4 containers. How many pounds of berries did Mr. Stewart put in each container?
Answer:
1/8 pound
Step-by-step explanation:
(1/2)/4 = 1/8
or (1÷2)÷4 = 0,125
Carlos bought 5 tickets to a play for a total of
$20. The equation 5c = 20 can be used to find
the cost c in dollars of each ticket. How much
does each ticket cost?
Answer:
Each ticket cost 4dollars
Help quick!.................
Answer: D.
Step-by-step explanation:
I think its d because there all equally apart and proportionate
A spiner with 12 equally sized slices is shown below. The dial is spun and stops on a slice at random. What is the probability that the dial stops on a white slice?
Write your answer in simplest form.
Answer:
The probability that the dial stops on a white slice = 1/12
Step-by-step explanation:
To determine:
What is the probability that the dial stops on a white slice?
Fetching Information and Solution Steps
Spinner having the number of equal slices = 12The dial is spun and stops on a slice at random.As there are 12 equally sized slices of a spinner. So, the probability that the dial stops on a white slice is 1 out of 12 chances.
Therefore, the probability that the dial stops on a white slice = 1/12
Keywords: probability, chance
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WILL AWARD 100 POINTS PLUS BRAINLIEST IF RIGHT
The function represents the number of specialty items produced at the old factory w weeks after a change in management. The graph represents the number of specialty items produced at the new factory during the same time period.
During Week 0, how many more specialty items were produced at the old factory than at the new factory? Explain.
Find and compare the growth rates in the weekly number of specialty items produced at each factory. Show your work.
When does the weekly number of specialty items produced at the new factory exceed the weekly number of specialty items produced at the old factory? Explain.
a)
During week 0, the number of specialty items produced at the old factory than at the new factory is 33
b)
Old factory
The growth rate from week 0 to week 1 is 20.
The growth rate from week 1 to week 2 is 22.
New factory:
The growth rate from week 0 to week 1 is 30.
The growth rate from week 1 to week 2 is 32.
c)
The weekly number of specialty items produced at the new factory exceeds the weekly number of specialty items produced at the old factory
in week 4.
What is a function?A function has an input and an output.
A function can be one-to-one or onto one.
It simply indicated the relationships between the input and the output.
Example:
f(x) = 2x + 1
f(1) = 2 + 1 = 3
f(2) = 2 x 2 + 1 = 4 + 1 = 5
The outputs of the functions are 3 and 5
The inputs of the function are 1 and 2.
We have,
Old factory:
f(x) = 223 (1.09)^x
When x = 0,
f(0) = 223(1.09)^0 = 223(1) = 223
In zero weeks, the number of specialties produced is 223.
When x = 1,
f(1) = 223(1.09)^1 = 243.07 = 243
When x = 2,
f(2) = 223(1.09)^2 = 265.32 = 265
When x = 3,
f(3) = 223(1.09)^3 = 290.41 = 290
When x = 4:
f(4) = 223(1.09)^4 = 318.53 = 318
New factory:
(0, 190), (1, 220), (2, 252), (3, 290), (4, 337)
This means,
(0, 190)
In zero weeks, the number of specialties produced is 190.
Thus,
a)
During week 0, the number of specialty items produced at the old factory than at the new factory.
= 223 - 190
= 33
b)
The growth rates in the weekly number of specialty items produced at each factory.
Old factory:
The growth rate from week 0 to week 1 = (243 - 223)/(1 - 0) = 20/1 = 20
The growth rate from week 1 to week 2 = (265 - 243)/(2 - 1) = 22/1 = 22
New factory:
The growth rate from week 0 to week 1 = (220 - 190)/(1 - 0) = 30/1 = 30
The growth rate from week 1 to week 2 = (252 - 220)/(2 - 1) = 32/1 = 32
c)
The weekly number of specialty items produced at the new factory exceeds the weekly number of specialty items produced at the old factory
in week 4.
i.e
f(4) = 223(1.09)^4 = 318.53 = 318
(4, 337)
318 < 337
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Answer: if your question is the same as mine, it should be correct!
Step-by-step explanation:
(a) 40 more specialty items, as 230 (initial value at the Old Factory) minus 190 is 40.
(b) y2 – y1/x2 – x1
252-220/2-1
32
(c) The new factory seems to have a faster production rate.
(d) Week 3 is the week when the production is faster at the New Factory.
p(w)=230(1.1)^w
p(w)=230(1.1)^3
p(w)=230(1.33100)
p(w)= 306.13
At week 3 for the Old Factory, it seems that there is less production happening than the 3rd week at the New Factory.
hopefully this helped :3
If 3/4 = x/8, then x is equal to __.
Answer:
6
Step-by-step explanation:
if 3/4 = x/8 then x = 6 because you have to multiply 4 by 2 to get 8. in the same way 3×2 = 6
plz give me brainliest, i just need 3 more until expert plz plz plz
Here’s another one thank u all for helping me. I really appreciate it!
C = circumference of circle with radius r
C = 2*pi*r
C = 2*3.14*3500
C = 21,980
C = 22,000 rounding to 2 significant figures (3500 is also 2 sig figs)
Answer is choice CJames took a journey of 1.5 hours duration. He arrived at his destination at 1:10. Calculate the time when he started his journey
pls help me its easy but im lazy
Answer: Volume = a^4 * b^6
Step-by-step explanation:
Volume = (a^2*b)*(a*b^2)*(a*b^3)
Volume = a^2 * b * a * b^2 * a * b^3
Volume = a^4 * b^6
Use the Distributive
Property to express
28 + 56
Answer:
Use the distributive property to express a sum of two whole numbers 1–100 with a common factor as a multiple of a sum of two whole numbers with no common factor.
For example, express 36 + 8 as 4 (9 + 2).
Noah was assigned to make 64 cookies for the bake sale. He made 125% of that number. 90% of the cookies he made were sold. How many of Noah’s cookies were left after the bake sale?
Answer:
8
Step-by-step explanation:
The number left was 10% of the number he made. The number he made was 125% of 64, so the number left was ...
10% × 125% × 64 = 0.125 × 64 = 8
8 of Noah's cookies were left.