Answer:
Coffee Shop, pharmacy, furniture
Step-by-step explanation:
Coffee Shop and Furniture are both Alternate Interior Angles to the Storage, and Pharmacy is a Alternate Interior angle to the previous two
Which of the following pairs of functions are inverses of each other?
O A. f(x) = 2x–9 and g(x) = *7 9
B. f(x)=$+4 and g(x) = 3x-4
C. f(x)=5+*fx and g(x) = 5 - 43
O D. f(x) = 3-6 and g(x) = x26
Answer:
I think its B
Step-by-step explanation:
The pairs of functions which are inverses of each other is A. f(x) = 2x - 9 and g(x) = (x + 9)/2.
What is Inverse Function?Inverse functions are functions which can be reversed in to another function.
Then the function is said to be the inverse of the second function.
If two functions f(x) and g(x) are inverses of each other, then f(g(x) = x and g(f(x)) = x.
A. f(x) = 2x - 9 and g(x) = (x + 9)/2
f(g(x)) = f((x + 9)/2) = 2 [(x + 9)/2] - 9 = x + 9 - 9 = x
g(f(x)) = g(2x - 9) = (2x - 9 + 9) / 2 = 2x / 2 = x
So, the functions are inverses of each other.
B. f(x) = (x/3) + 4 and g(x) = 3x - 4
f(g(x)) = f(3x - 4) = [(3x - 4)/3] + 4 ≠ x
So not inverses of each other.
C. f(x) = 5 + ∛x and g(x) = 5 - x³
f(g(x)) = f(5 - x³) = 5 + ∛(5 - x³) ≠ x
So not inverses of each other.
D. f(x) = (2/x) - 6 and g(x) = (x + 6)/2
f(g(x)) = f((x + 6)/2) = [2 / ((x + 6)/2)] - 6 ≠ x
So not inverses of each other.
Hence the correct option is A.
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The perimeter of Marisa's garden is 32 feet. The width is 6 feet. What is the length of
Marisa's garden?
The length of Marisa's garden is 10
What is the length of Marisa's garden?The given parameters are:
Perimeter = 32 feet
Width = 6 feet
The perimeter is calculated as:'
Perimeter = 2 * (Length + width)
So, we have
2 * (Length + 6) = 32
Divide by 2
Length + 6 = 16
Subtract
Length = 10
Hence, the length of Marisa's garden is 10
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whats 2 plus 2
ITS 4
Answer:
the answer to the question is 4
Is this Imaginary x2 - x + 1 = 0
Answer:x= -1/2
Step-by-step explanation:
A single die is rolled. Find the odds in favor of rolling a number greater than 2.
The odds in favor of rolling a number greater than 2 are
(Simplify your answers.)
Answer:
2/3
Step-by-step explanation:
1 and 2 are taken away, therefore you have 3, 4, 5, and 6 left as options to roll. So the answer is 4/6 since there's 4 numbers, but simplified it's 2/3.
Answer:
There are six possible outcomes when rolling a die, each of which is equally likely. Of these six outcomes, three are greater than 2 (3, 4, 5) and three are not (1, 2, 6). Therefore, the odds in favor of rolling a number greater than 2 are 3 to 3, or simply 1 to 1. Alternatively, we could express this as a probability: the probability of rolling a number greater than 2 is 3/6, or 1/2, since there are three favorable outcomes out of a total of six possible outcomes.
Step-by-step explanation:
PLEASE ANSWERING THIS QUESTION!!!
The volume of a cone with height h and a radius r can be found using the formula \(\sf{V=\dfrac{1}{3}\pi r^2h\)
Find the volume of a cone with radius 5 feet and height 4 feet.
(Blank) ft^3
Rules answering these questions:
Explain your answer!
Do not spam answers!
Show your work!
Nonsense answers will be reported and delete your answers.
Thanks!
Answer:
104.8cm³(1 decimal place)
Step-by-step explanation:
Volume of a cone is given by the formula
V=1/3πr²h
we are given a radius of 5 and a height of 4 so we will just substitute for the values and we will give our pie as 22/7
V=1/3× 22/7×5²×4
V=1/3 × 22/7 ×25 ×4
V=2200/21
V=104.76190476
V=104.8cm³(1decimal place)
pls if you like this answer you can appreciate it by marking it as brainliest
Whose statement makes sense? Whose statement is nonsense?
Complete the explanation.
Zach's Statement: 1 pint is - 1/4 of a gallon.
Angela's Statement: 1 pint is - 1/8 of a gallon
Answer:
34
Step-by-step explanation:
Find the sum of the first 8 terms of the fallowing sequence?
3,15,75,375 …
Answer:
\( \frac{3( {5}^{8} - 1) }{5 - 1} = 292968\)
At which f is continuous but not differentiable
Answer:
x at 1
Step-by-step explanation:
There is a corner at 1 making the function not differentiable
Select all the expressions with a value of less than one. I WILL GIVE YOU BRAINLIEST FOR ANSWERING QUICKLY & CORRECTLY!
a. x^0
b. (-15)^0
c. -(15)^0
d. -(15^0)
e. -(0.23)^0
Answer:
all answers are equal to 1.
any number to the zero power is one because any number to the zero power is just the product of no numbers at all, which is the multiplicative identity, 1.
6x5/9(fraction) so how do I do 6 x 5/9???? Hellppppp
Answer:
Reduce 6 to the lowest common denominator
Step-by-step explanation:
54/9 × 5/9
find the area and circumference of a circle with a radius of 5 cm use the value 3.14 do not round your answer
Answer:
area= 78.5 cm²
circumference= 31.4 cm
Step-by-step explanation:
\(\boxed{Area \: of \: circle= πr²}\)
Given that the radius is 5cm, r= 5. Substitute r= 5 and π as 3.14 into the equation:
Area of circle
= 3.14(5²)
= 78.5 cm²
\(\boxed{circumference \: of \: circle =2πr }\)
Circumference of circle
= 2(3.14)(5)
= 31.4 cm
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2x + 15 = 3x + 10 help BRAINLIEST
Answer:
5
Step-by-step explanation:
2x + 15 = 3x + 10
3x + 10 = 2x + 15
3x - 2x = 15 - 10
x = 5
Answer:
\(x = 5\)
Step-by-step explanation:
\(2x + 15 = 3x + 10\)
• Group like terms together:
• Subtract 5 from both sides:
\(2x = 3x - 5\)
• Subtract 3x from both sides:
\(-x = -5\)
• Multiply both sides by -1:
\(x = 5\)
Liam cuts a 48-inch piece of string into two pieces. One piece is 12 inches longer than the other. If s represents the length of the shorter string, which diagram best represents this scenario?
The length of the shorter string is 18 inch while that of the longer string is 30 inch.
An equation is an expression used to show the relationship between two or more variables and numbers.
Let s represent the length of the shorter string.
One piece is 12 inches longer than the other
Length of longer string = s + 12
Since a 48-inch piece of string is cut into two pieces. Hence:
s + (s + 12) = 48
2s + 12 = 48
2s = 36
s = 18
Length of longer string = 18 + 12 = 30
The length of the shorter string is 18 inch while that of the longer string is 30 inch.
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Solve for y.
−2y+5=−11
Responses
y = 8
y, = 8
y = 3
y, = 3
y=−3
y equals negative 3
y=−8
Answer:
8
Step-by-step explanation:
bResponses
y = 8
y, = 8
y = 3
y, = 3
y=−3
Helppppppp I’ll give brainlyyyyyyyyyyyyy
The values of a, h and k for the function include the following:
a = 2
h = 3
k = -2
How to write an equation for the transformed logarithm?In Mathematics and Geometry, the general form of a logarithm function is represented by the following mathematical equation:
f(x) = alog(±x + h) + k
Where:
a represent the scale factor of the logarithmic graphh represent a horizontal translation.k represent a vertical translation.x represent the base.Based on the given logarithm function f(x) = 2log₄(x + 3) - 2, we can reasonably infer and logically deduce that the scale factor (a) used is equal to 2.
This ultimately implies that, the values of a, h and k for the function are 2, 3, and -2 respectively.
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The table represents a linear relationship
X—2 0 4
Y-4 3 1
Which equation represents the table
Y=1/2x+5
y=-1/2x+3
Y=2x-3
Y=-4x+2
The linear relationship illustrated in the provided table can be effectively described by the equation Y = -4x + 2. Option D.
To determine the equation that represents the given table with the values of x and y, we can observe the pattern and find the equation of the line that fits these points.
Given the table:
X: 2 0 4
Y: -4 3 1
We can plot these points on a graph and see that they form a straight line.
Plotting the points (2, -4), (0, 3), and (4, 1), we can see that they lie on a line that has a negative slope.
Based on the given options, we can now evaluate each equation to see which one represents the line:
Y = 1/2x + 5
When we substitute the x-values from the table into this equation, we get the following corresponding y-values: -3, 5, and 6. These values do not match the given table, so this equation does not represent the table.
Y = -1/2x + 3
When we substitute the x-values from the table into this equation, we get the corresponding y-values: 4, 3, and 2. These values also do not match the given table, so this equation does not represent the table.
Y = 2x - 3
When we substitute the x-values from the table into this equation, we get the corresponding y-values: -4, -3, and 5. These values do not match the given table, so this equation does not represent the table.
Y = -4x + 2
When we substitute the x-values from the table into this equation, we get the corresponding y-values: -6, 2, and -14. Interestingly, these values match the y-values in the given table. Therefore, the equation Y = -4x + 2 represents the table.
In conclusion, the equation Y = -4x + 2 represents the linear relationship described by the given table. So Option D is correct.
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How many centiliters are in 0.00005 liters?
0.00005 L = [?] cL in standard form.
The number of centilitres which is equivalent to 0.00005 liters as required to be expressed in standard form is; 5 × 10-² cL.
What is the number of centilitres in 0.00005 litres?Recall that; it follows from metric systems that;
100 centilitres = 1 litres.
On this note, it follows from proportion that the number of centilitres present in 0.00005 litres as required is;
= 0.00005 × 100 centilitres
= 0.005 centilitres.
Ultimately, when expressed in standard form, it follows that the number of centilitres in 0.00005 liters is; 5 × 10-² cL.
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Sandro would like to retire at age 60 with an income of $1500 per month from his
retirement savings. If he is to receive these payments until he is 90 years old, what
amount would he need in his retirement savings account at age 60, if the account
earns 4.5% compounded monthly?
The amount (present value at age 60) that Sandro would neet in his retirement savings account in order to have a monthly income of $1,500 until he is 90 years old, compounded at 4.5% monthly is $296,041.74.
How the present value is computed:The present value is computed using an online fiance calculator that discounts the future withdrawals (monthly income) for a 360-months period.
End of withdrawal period = 90 years old
Beginning of withdrawal period = 60 years old
The number of years between 60 and 90 = 30 years
N (# of periods) = 360 months (30 years x 12)
I/Y (Interest per year) = 4.5%
PMT (Periodic Payment) = $-1,500
FV (Future Value) = $0
Results:
Present Value (PV) = $296,041.74
Sum of all periodic payments = $540,000 ($1,500 x 360 months)
Total Interest = $243,958.26
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The next model of a sports car will cost 5.4% more than the current model. The current model costs $43000 . How much will the price increase in dollars? What will be the price of the next model?
Step-by-step explanation:
Increment = 5.4% × 43000 = 2322
Next model will cost $43,000 + $2,322 = $45,322
12. 101c - 5c +4c = its 100c
13. 12q - 4 + 10q - 4q +9 =
14. 21k - 20k + 3k =
15. 181x + 91x - 23x =
\(101c - 5c + 4c = 100c \\ \\ 12q - 4 + 10q - 4q + 9 \\ 12q + 10q - 4q - 4 + 9 \\ 18q + 5 \\ \\ 21k - 20k + 3k = 4k \\ \\ 181x + 91x - 23x = 249x\)
Elements that do not belong to a set belong to its
Answer:
What do you mean for this question?
Step-by-step explanation:
Give specific details
Amy and Zack each have 24 feet of fencing for their rectangular gardens. Amy makes her fence 6 feet long. Zack makes his fence 8 feet long. Whose garden has the better area? How much greater?
Answer:
The answer is Zack garden
Determine the average rate of change of this function over the interval -2≤x≤4
The rate of change of the function h(x) = 2x on the interval 2 ≤ x ≤ 4 is 6.
Find the surface area of a cylinder with a height of 8 and a base radius of 5 m.
Use the value 3.14 for, and do not do any rounding.
Be sure to include the correct unit.
Using the height and radius given, the surface area of the cylinder is 408.2m²
What is surface area of a cylinder?The surface area of a cylinder is the combined area of its curved surface (lateral surface) and its two circular bases. The formula for the surface area of a cylinder is:
A = 2πrh + 2πr²
where:
A is the surface area of the cylinder,π is the mathematical constant r is the radius of the base of the cylinder, andh is the height (or length) of the cylinder.In the given question, the data are;
h = 8mr = 5mSubstituting the value into the formula
A = 2π(5 * 8) + 2π(5)²
A = 408.2m²
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!!20 POINTS!!
Find the value of X. Round to the nearest tenth
Please answer this Calculus webwork question about differential equations:
Answer:
a)
\(4ydy = xdx\)
\(2 {y}^{2} = \frac{1}{2} {x}^{2} + c\)
\( {y}^{2} = \frac{1}{4} {x}^{2} + c \)
\( {y}^{2} - \frac{1}{4} {x}^{2} = c \)
b)
c = 4, so
\( {y}^{2} = \frac{1}{4} {x}^{2} + 4\)
\(y = - \sqrt{ \frac{1}{4} {x}^{2} + 4} \)
\(y = - \frac{ \sqrt{ {x}^{2} + 16} }{2} \)
Pauline wants to sell stainless steel water bottles as a school fundraiser.
She knows that she will maximize profits, and raise $1024, if she sells
the bottles for $28 each. She also knows that she will lose $4160 if she sells the bottles for only $10 each.
Write a quadratic relation to model her profit, P, in dollars, if she sells the bottles for x dollars each.
Answer:
P = -16(x -28)² +1024
Step-by-step explanation:
The equation can be written in vertex form as ...
P = -a(x -h)² +k
where (h, k) is the vertex, and 'a' is a scale factor. We are given the vertex (h, k) = (28, 1024) and another point (x, P) = (10, -4160). Using these points, we can find the value of 'a'.
-4160 = -a(10 -28)² +1024
-5184 = -324a . . . . simplilfy
a = 5184/324 = 16 . . . . divide by the coefficient of 'a'
A suitable quadratic relation is ...
P = -16(x -28)² +1024
Graph the linear equation.
x - 2y = - 2
The graph of the linear equation can be seen in the image below.
How to graph the linear equation?Here we have the linear equation:
x - 2y = -2
To graph it, we need to find two points that belong to the line, and then we can graph these and connect them with a line.
If x = 0, we have:
0 - 2y = -2
y = -2/-2 = 1
if x = 1 then:
1 - 2y = -2
1 + 2 = 2y
3 = 2y
3/2 = y
Then we have the points (0, 1) and (1, 3/2), now just graph these points on a coordinate axis and then connect them with a line, we will get:
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If there are 8 people, and each person has 4 coins, there are ____ times as many coins as people.
Answer:
2 times
Step-by-step explanation:
Answer:
4 times
Step-by-step explanation:
8 x 4 = 32 total coins
32÷8 = 4
Therefore, there are 4 times as many coins as people.
Hope this helps! :)