The key features of this exponential function include the following:
Growth
Asymptote: y = 0.
y-intercept: (0, 1/2).
Domain: All real numbers or (-∞, ∞).
Range = {y|y ≥ 0}.
How to write and determine an exponential function?In Mathematics, an exponential function is typically represented by the following mathematical equation:
\(f(x) = a(b)^x\)
Where:
x represent time.a represent the base value, vertical intercept, or y-intercept.b is the growth rate, common ratio, and rate of change.Based on the given exponential function \(y = \frac{1}{2} (6)^x\), we can logically deduce that the y-intercept is represented by a, which is equal to 1/2 while b is the growth rate because it is greater than 1.
In conclusion, there is a horizontal asymptote at y = 0 because it is a line which the graph of a given function approaches, but never touches or crosses.
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Need answers please help
Answer
Yes, zero is contained in the interval
Bob dio cuatro quintos de sus lapices a barbara, luego dio dos tercios de los lapices restantes a bonnie, si termino con 10 lapices para el... ¿ cuantos lapices tenia bob al principio?
Bob had 50 pencils in the beginning.
How is a fractional number expressed?A fractional number is expressed in the form -
x/y {where y ≠ 0)
Given is that Bob gave four - fifths of his pencils to Barbara, then he gave two - thirds of the remaining pencils to bonnie.
Assume that he had {x} pencils in the beginning. We can write -
4x/5 + 2/3(x - 4x/5) = 10
4x/5 + 2x/3 - 8x/15 = 10
x(4/5 + 2/3 - 8/15) = 10
x = 10/0.93
x = 50
Therefore, Bob had 50 pencils in the beginning.
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{QUESTION IN ENGLISH -
Bob gave four fifths of his pencils to Barbara, then he gave two thirds of the remaining pencils to bonnie, if he ended up with 10 pencils for himself... how many pencils did bob have at the beginning?}
The coordinates of three vertices of a square ABCD are A(-2 1/2, 1 1/2), B)-2 1/2, -3) and C )2, 1 1/2) when point D is placed on this square what will the perimeter of the square be?
Answer:
The perimeter would be 18
Step-by-step explanation:
The distance between A and B is 4.5, a square's sides are even so 4.5x4 is 18.
simplify
[2/11]^3 ÷ [4/22]^6
Answer:
(2/11)^3/(4/22)^6
= (2/11)^3/(2/11) ^6
=1/(2/11)^3
=(11/2)^3
Rectangle ABCDA has a perimeter of 54 Inches and a length that is twice the width. Which equation
A.54-2W
B.54=3w
C.54=5w
D.54-6w
Answer:
54 = 6x
Step-by-step explanation:
if a small cup is 10 oz and cost 2.69 what is the cost per ounces
Answer:
The cost per ounce of the small cup is $0.269
Step-by-step explanation:
To find the cost per ounce, we can divide the cost of the cup by the number of ounces it holds.
Cost per ounce = Cost of the cup ÷ Number of ounces in the cup
Cost of the cup = $2.69
Number of ounces in the cup = 10 oz
So,
Cost per ounce = $2.69 ÷ 10 oz
Cost per ounce = $0.269 per oz (rounded to the nearest thousandth)
Therefore, the cost per ounce of the small cup is $0.269.
MISTERBRAINLYY!!
The paint in a certain container is sufficient to paint an area equal to 9.375m2. How many bricks of dimensions 22.5cm×10cm×7.5cm can be painted out of this container?
There are three area options for the number of bricks:
4165551250How many bricks can be painted out of a container?
The number of bricks that can be painted out is equal to the paint area (A), in square centimeters, divided to the area of a brick (A'), in square centimeters. That is:
n = A / A'
A' = w · h
Where:
w - Width of the brick, in centimeters.h - Height of the brick, in centimeters.There are three possible answers:
Case 1: A = 93750 cm², w = 22.5 cm, h = 10 cm
A' = 22.5 · 10
A' = 225
n = 93750 / 225
n = 416.667
n = 416
Case 2: A = 93750 cm², w = 22.5 cm, h = 7.5 cm
A' = 22.5 · 7.5
A' = 168.75
n = 93750 / 168.75
n = 555.556
n = 555
Case 3: A = 93750 cm², w = 10 cm, h = 7.5 cm
A' = 10 · 7.5
A = 75
n = 93750 / 75
n = 1250
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16. Critique the reasoning of others. Penny
knows that point W is in the interior of
Based on this information, she claims that
Explain. Make a
sketch that supports your answer
Answer:
Its e
Step-by-step explanation:
A baker has 24 cupcakes. 1/4 of them are chocolate. The rest are strawberry. How many are strawberry?
Number of cupcakes with a baker = 24
Number of chocolate cupcakes with the baker:
\( =\tt \frac{1}{4} \: \: of \: \: 24\)
\( =\tt \frac{1}{4} \times 24\)
\( = \tt \frac{24}{4} \)
\( \color{plum}=\tt 6 \: cupcakes\)
Thus, the number of chocolate cupcakes the baker has = 6
Number of strawberry cupcakes with the baker :
\( = \tt \frac{4}{4} - \frac{1}{4} \: \: of \: \: 24\)
\( =\tt \frac{3}{4} \: \: of \: \: 24\)
\( =\tt \frac{3}{4} \times 24\)
\( = \tt \frac{72}{4} \)
\( \color{plum}=\tt 18 \: cupcakes\)
Thus, the number of strawberry cupcakes = 18
Therefore, the number of strawberry cupcakes with the baker = 18
6. Expand the expression 4(x + 5).
PLEASE HELP DUE TOMORROW
Answer:
4x+20
Step-by-step explanation:
Using the distributive property you multiply the terms outside by the terms inside. So the expression will be like this
4(x)+4(5)
When simplified the answer is
4x+20
Answer:
Step-by-step explanation:
Here you go mate
Step 1
4(x + 5) equation
Step 2
4(x + 5) simplify the expression
(x+5)4
(x+5)(4)
answer
20+4x
Tierra and Joey shared some stamps in the ratio 7:5. Tierra gave Joey 12 stamps. If each of them had the same number of stamps in the end, how many stamps did Tierra have in the beginning? Due atleast 4:30 i struggle with word probs so pls halpp tysm!
Tierra stamp in the beginning is 84 stamp.
How to find the number of stamp ?Tierra and Joey shared some stamps in the ratio 7:5.
Tierra gave Joey 12 stamps.
Each of them had the same number of stamps in the end.
Let represent the equations.
x = the initial total amount of stamp
Tierra stamp = 7 / 12 x
Joey stamp = 5 / 12 x
Tierra gave Joey 12 stamps.
Therefore,
7 / 12 x - 12 = 5 / 12 x + 12
7 / 12 x - 5 / 12 x = 12 + 12
7x - 5x / 12 = 24
2x / 12 = 24
cross multiply
2x = 24 × 12
2x = 288
x = 288 / 2
x = 144
Tierra stamp in the beginning = 7 / 12 (144) = 84
Therefore, Tierra stamp in the beginning is 84 stamp.
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How many friends at most can you invite to the school carnival?If it costs $8 per ticket, $3 for a one time processing fee, and the most you can spend is $45.
Answer:
4 friends
Explanation:
One time processing fee =$3
Cost per ticket = $8
Let the number of tickets = t
The total amount spent for t tickets will be:
\(3+8t\)Since the most you can spend is $45, we have:
\(\begin{gathered} 3+8t\leqslant45 \\ 8t\leqslant45-3 \\ 8t\leqslant42 \\ t\leqslant\frac{42}{8} \\ t\leqslant5.25 \end{gathered}\)You can invite a total of 4 friends (excluding yourself)
This means you can buy a maximum of 5 tickets.
A fraternity charge $2.00 admission for dudes and $1.00 admission for ladies. They made $45 and sold 35 tickets how many ladies attended the party
After solving the equations, we know that a total of 25 ladies attended the party.
What are equations?A mathematical statement that has an "equal to" symbol between two expressions with equal values is called an equation.
As in 3x + 5 Equals 15, for instance.
Equations come in a variety of forms, including linear, quadratic, cubic, and others.
So, take dudes as x and ladies as y.
Now, form the required 2 equations as follows:
2x + y = 45 ...(1)
x + y = 35 ...(2)
Work on equation (2):
x + y = 35
x = 35 - y
Now, substitute x = 35 - y in equation (1):
2x + y = 45
2(35-y) + y = 45
70 - 2y + y = 45
-y = -25
y = 25
Since ladies were charged $1 for each ticket, then 25 ladies attended the party.
Therefore, after solving the equations, we know that a total of 25 ladies attended the party.
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please answer me as soon as posible
Answer:
yes your answer is right
Answer:
Yes it's Perfectly correct
What is the relationship between CE and AD?
I’ll give brainly
What’s these answer I’ll mark u brainliest
Answer:
Step-by-step explanation:
mark me mark me
Answer:
4.2
-4
30%
3/10
0.3
0.00133333333
1715
Please help thank you all so much
The domain of the composite functions:
a). (f + g)(-2) = 23
b). (f - g) (-2) = 1
c). f(x) - g(x) = x² - 5x - 13
What is composite function?A function is composite when the co- domain of the first mapping is the domain of the second mapping
Given the functions f(x) = x² - 4x and g(x) = x + 13, we shall evaluate the domains of the functions as follows:
a). (f + g)(-2) = (-2)² - 4(-2) + (-2) + 13
(f + g)(-2) = 4 + 8 - 2 + 13
(f + g)(-2) = 23
b). (f - g) (-2) = (-2)² - 4(-2) - (-2) - 13
(f - g)(-2) = 4 + 8 + 2 - 13
(f - g) (-2) = 1
c). f(x) - g(x) = x² - 4x - x - 13
f(x) - g(x) = x² - 5x - 13
Therefore, the domain of the composite functions:
a). (f + g)(-2) = 23
b). (f - g) (-2) = 1
c). f(x) - g(x) = x² - 5x - 13
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What are 3 ratio equivalent to 5/15
Answer:
1 : 3, 3 : 9, and 6 : 18
Step-by-step explanation:
Slope Intercept Form Calculator: Greater Than
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Chemical Calculator: Error Function Calculation
Answer:
1 : 3, 2 : 6, and 3 : 9
Step-by-step explanation:
In the fraction 5/15, 5 is equivalent to one-third of 15. That means we need ratios with the second number being 3 times greater than the first. For example, 3 is 3 times greater than one, 6 is 3 times greater than 2, and 9 is 3 times greater than 3.
How many solutions does this system have? no solutions one unique solution O O two solutions O or an infinite number of solutions
Answer:
no solutions
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
equation of blue line is y = x + 2 , in slope- intercept form
with slope m = 1
equation of red line is y = x - 3 , in slope- intercept form
with slope m = 1
• Parallel lines have equal slopes
then the blue and red lines are parallel.
the solution to the system is at the point of intersection of the 2 lines
since the lines are parallel then they do not intersect each other.
thus the system shown has no solution.
6) Sally traveled 352.5 miles on 13 gallons of gas. Set up and solve to proportion to find how many miles she can travel on 18 gallons of gas. Round your answer to the nearest whole number of gallons. Your answer
Answer:
add a gallon
Step-by-step explanation:
Help me out here ✏️ Mathematics
Answer:
it's definitely F .. Your welcome
Phineas puts $600 into a certificate of deposit that earns 3.09%. If the money is
compounded monthly, how much will it be worth in 4 years?
Answer:
$678.83
Step-by-step explanation:
Given :
Principal, P = $600
Rate = 3.09% = 0.0309
Period, t = 4 years
Compounding times per period, n = 12 (monthly)
The compound interest formula :
A = P(1 + r/n)^nt
A = 600(1 + 0.0309/12)^(12*4)
A = 600(1 + 0.002575)^48
A = 600(1.002575)^48
A = 600 * 1.1313834
A = 678.83004
Worth in 4 years = $678.83
Jada has challenged herself to do at least 100 full push-ups this week On Sunday, she does 30 push-ups Her arms are sore, so she decides to do fewer push-ups on the remaining days of the week She wants to do the same number of push- ups each day for the rest of the week. Write and solve an inequality for the number of push-ups Jada needs to do each day for the rest of the week to meet her goal of 100 push-ups Which answer choice best interprets the solution in the context of the problem?
A. Jada needs to do at least 11 and 2 thirds
B. Jada needs to do push-ups for at least 12 more days to meet her goal
C. Jada needs to do at least 10 push-ups each day for the rest of the week to meet her goal
D. Jada needs to do at least 12 push-ups each day for the rest of the week to meet her goal
a) The inequality showing the number of push-ups Jada needs to do each day for the rest of the week to meet her goal of 100 push-ups for the week is 30 + 6x ≥ 100.
b) The solution to the inequality shows D. Jada needs to do at least 12 push-ups each day for the rest of the week to meet her goal
What is inequality?Inequality is a mathematical statement that two or more mathematical expressions are unequal and not equivalent.
Inequalities are depicted in the following ways:
Greater than (>)Less than (<)Greater than or equal to (≥)Less than or equal to (≤)Not equal to (≠).The total number of full push-ups for the week = 100
The number of push-ups done on Sunday = 30
The remaining number of push-ups for 6 days = 70 (100 - 30)
Inequality:30 + 6x ≥ 100
6x ≥ 70
x ≥ 12
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In the accompanying diagram AB || CD and FG bisects ∠EFD. IF m∠EFG = x and m∠FEG = 4x, find x.
In the figure,
We have for two parallel lines cut by a transversal, we have,
Therefore, we can write, since
\(\begin{gathered} 4x+2x=180 \\ 6x=180 \\ x=\frac{180}{6}=30 \end{gathered}\)Determine the percentile of 6.2 using the following data set.
4.2 4.6 5.1 6.2 6.3 6.6 6.7 6.8 7.1 7.2
Your answer should be an exact numerical value.
The percentile of 6.2 is |
%.
The percentile of 6.2 in the given data set is 40%.
To determine the percentile of 6.2 in the given data set, we can use the following steps:
Arrange the data set in ascending order:
4.2, 4.6, 5.1, 6.2, 6.3, 6.6, 6.7, 6.8, 7.1, 7.2
Count the number of data points that are less than or equal to 6.2. In this case, there are 4 data points that satisfy this condition: 4.2, 4.6, 5.1, and 6.2.
Calculate the percentile using the formula:
Percentile = (Number of data points less than or equal to the given value / Total number of data points) × 100
In this case, the percentile of 6.2 can be calculated as:
Percentile = (4 / 10) × 100 = 40%
The percentile of 6.2 in the sample data set is therefore 40%.
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Determine the domain of which the following function is increasing
Answer:
domain : - ∞ < x < 1
Step-by-step explanation:
the function is increasing on the upward part of the curve. that is
from negative infinity to the vertex at (1, 3 )
domain : - ∞ < x < 1
The average rate of growth for human hair is about 0.3 millimeters per day. How many days will it take a hair that is 12 millimeters long to grow to be 16.5 millimeters?
It will take 15 days for the hair to grow from 12mm to 16.5mm
What do you mean by average rate?By "average rate" in this context, we mean the typical or usual amount of hair growth per unit of time, which is often measured in millimeters per day. This rate can vary slightly depending on factors such as age, gender, genetics, diet, and overall health.
Let's first find out how much the hair needs to grow by subtracting its initial length (12mm) from its target length (16.5mm):
16.5mm - 12mm = 4.5mm
Now we can divide this growth by the average rate of hair growth to find the number of days it will take to grow this much:
4.5mm ÷ 0.3mm/day = 15 days
Therefore, it will take 15 days for the hair to grow from 12mm to 16.5mm.
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Please answer this correctly
Answer:
47
Step-by-step explanation:
The probability for tails to land is 1/2 when you flip 1 coin.
When you flip 94 times, 1/2 × 94
= 47
Two angles are supplementary. The measure of the larger angle is 36 degrees less than 8 times
the measure of the smaller angle. Find the measures of both angles.
Answer:
The measures of the angles are 16° and 164°.
Step-by-step explanation:
Let the smaller angle be x and the larger angle be 8x+36.
Supplementary angles add up to 180°.
Small angle + Large angle = 180°
x + 8x + 36 = 180
9x + 36 = 180
9x = 180 - 36
= 144
x = 144 ÷ 9
x = 16
8x+36 = 8(16)+36
= 164
7x-10=70 x and y intercepts
Answer:
x intercept= (11.429,0) and it doesn't have an y intercept
Step-by-step explanation:
No y intercept because it is parallel to the y axis