Answer:
The inverse function is:
f(x)=√x−2
Step-by-step explanation:
To find the inverse function of y=f(x) you have to transform the formula to calculate x in terms of y.
y=x2+2
x2=y−2
x=√y−2
Now we can change the letters to follow the convention that x is the independent variable and y is the function's value:
y=√x−2
You have to calculate the domain of the result function.
Here you have the expression under square root sign, so the domain is the set where x−2≥0
x−2≥0⇒x≥2
Kristin left the movie theater and traveled
toward the lake at an average speed of 33
km/h. Jennifer left sometime later
traveling in the opposite direction with an
average speed of 45 km/h. After Kristin
had traveled for two hours they were 156
km apart. How long did Jennifer travel?
AnswerTherefore, Jennifer traveled for 2 hours.
Step-by-step explanation:
Let x be the time Jennifer traveled.
Kristin traveled for 2 hours at 33 km/h, so she had traveled 66 km when Jennifer started traveling.
After x hours, Jennifer had traveled 45x km.
The total distance between them was 156 km.
So, we have:
66 km + 45x km = 156 km
Simplifying the equation, we get:
45x km = 90 km
x = 2 hours
Therefore, Jennifer traveled for 2 hours.
Fill in the missing number. % of 800,000 = 208,000
The percentage is 26%, so the number is 26.
How to find the percenage?Here we know that the x% of the number 800,000 is equal to 208,000.
Remember that the x% of a number N, is given by the product:
(x%/100%)*N
So in this case we can solve the equation:
(x%/100%)*800,000 = 208,000
Solving that equation for the percentage, we will get:
x% = 100%*(208,000/800,000)
x% = 26%
That is the missing number.
Learn more about percentage at:
https://brainly.com/question/843074
#SPJ1
what is the value of (-3/4)^-4
Answer:
To calculate the value of (-3/4)^-4, we need to apply the exponentiation rules.
When a negative number is raised to an even power, the result is positive. Thus, we can rewrite (-3/4)^-4 as (4/-3)^4.
Now, let's evaluate the expression:
(4/-3)^4 = (4^4)/(-3)^4 = 256/81
So, the value of (-3/4)^-4 is 256/81
Step-by-step explanation:
pls help me with this
Option C is the table of values representing a proportional relationship in the context of this problem.
What is a proportional relationship?A proportional relationship is a relationship in which a constant ratio between the output variable and the input variable is present.
The equation that defines the proportional relationship is a linear function with slope k and intercept zero given as follows:
y = kx.
The slope k is the constant of proportionality, representing the increase or decrease in the output variable y when the constant variable x is increased by one.
For item c, we have that the output is equals to the input, hence the proportional relationship is given as follows:
y = x.
Missing InformationThe problem asks for which table represents a proportional relationship.
A similar problem, also featuring proportional relationships, is presented at https://brainly.com/question/7723640
#SPJ1
In circle F with mZEFG = 70 and EF = 19 units, find the length
of arc EG. Round to the nearest hundredth.
E
F
G
Answer:
Arc EG = 23.21 units
Step-by-step explanation:
Arc length:
Arc length could be found by the below mentioned formula.
[tex]\boxed{\bf Arc \ length =\dfrac{\theta }{180}*\pi r}[/tex]
r - radius of circle = 19 units
Ф - central angle of arc = 70°
[tex]\sf arc \ EG = \dfrac{70}{180}*3.14*19\\\\[/tex]
= 23.21 units
% of 50 = 57
Find the missing percent
how do you solve this
Answer:
Θ ≈ 103°
Step-by-step explanation:
using the Cosine rule in Δ ABC
cosB = [tex]\frac{a^2+c^2-b^2}{2ac}[/tex]
where a is the side opposite ∠ A , b the side opposite ∠ B and c the side opposite ∠ C
here a = 42 , b = 78 and c = 57 , then
cos B = [tex]\frac{42^2+57^2-78^2}{2(42)(57)}[/tex]
= [tex]\frac{1764+3249-6084}{4788}[/tex]
= [tex]\frac{5013-6084}{4788}[/tex]
= [tex]\frac{-1071}{4788}[/tex] , then
B = Θ = [tex]cos^{-1}[/tex] ( - [tex]\frac{1071}{4788}[/tex] ) ≈ 103° ( to the nearest degree )
4. The school nurse would like to compare the daily calorie consumption of some teachers to their weight. The data are given below:
The relationship between Calorie and weight is very weak and insignificant.
Relationship between VariablesComparing the relationship between Calorie and Weight using the correlation coefficient, the coefficient value obtained is 0.0086 which is very weak.
There is no obvious pattern linking an increase in calorie to Weight or decrease in association between the two variables.
Therefore, we can conclude that a very weak and insignificant relationship exists between Calorie and weight for the given data.
Learn more on correlation; https://brainly.com/question/13879362
#SPJ9
Which table was created using the equation y = 4x-1?
A
C
Input (x) Output (y)
3
11
4
15
27
31
35
39
5
6
7
8
Input (x) Output (y)
3
42
43
45
47
48
49
4
5
7
8
B
D
Input (x) Output (y)
3
11
15
19
23
27
31
4
5
6
7
8
Input (x) Output (y)
3
42
4
43
44
45
46
47
5
6
7
8
Answer:
Table B was created using the equation y = 4x-1.
Explanation:
The equation y = 4x-1 means that for any given value of x, the corresponding value of y can be found by multiplying x by 4 and then subtracting 1.
Table B shows input values of x and output values of y that are consistent with this equation. For example, when x = 3, y = 11 (4 * 3 - 1), and when x = 4, y = 15 (4 * 4 - 1), and so on.
Therefore, we can conclude that Table B was created using the equation y = 4x-1.
A baking scale measures mass to the tenth of a gram, up to 650 grams. A cup of flour is placed on the scale and results in a measure of 121.8 grams. Which of the following statements is not true?
The exact mass of the cup of flour must be between 121.7 and 121.9 grams.
The cup of flour has a mass of exactly 121.8 grams.
Given the limitations of the scale, the measurement has an appropriate level of accuracy.
To the nearest gram, the cup of flour has a mass of 122 grams.
The statement "The cup of flour has a mass of exactly 121.8 grams" is not true.
Since the baking scale measures mass to the tenth of a gram, it means it can measure values such as 121.7 grams, 121.8 grams, and 121.9 grams. However, it does not have the capability to measure beyond the tenths place, so it cannot determine whether the exact mass of the cup of flour is exactly 121.8 grams. Therefore, the statement claiming an exact mass is not true.
The other statements are all true:
- The exact mass of the cup of flour must be between 121.7 and 121.9 grams because the scale can measure to the tenth of a gram.- Given the limitations of the scale, the measurement has an appropriate level of accuracy. The scale measures to the tenth of a gram, which is suitable for measuring ingredients in baking.- To the nearest gram, the cup of flour has a mass of 122 grams. Since the scale measures to the tenth of a gram, the rounded value to the nearest gram would be 122 grams.[tex]\huge{\mathcal{\colorbox{black}{\textcolor{lime}{\textsf{I hope this helps !}}}}}[/tex]
♥️ [tex]\large{\textcolor{red}{\underline{\texttt{SUMIT ROY (:}}}}[/tex]
Answer:
Step-by-step explanation:
A baking scale measures mass to the tenth of a gram, up to 650 grams. A cup of flour is placed on the scale and results in a measure of 121.8 grams. [ Which of the following statements is not true? a.The exact mass of the cup of flour must be between 121.7 and 121.9 grams.
Use the given information about
to find the exact value of cos 0/2
The exact value of cos(θ/2) is:
[tex]cos(\frac{\theta }{2}) = \right-\sqrt{\frac{1}{122} }[/tex]
How to find the exact value of cos (θ/2)?To find the exact value of cos(θ/2), we can use the half-angle formula for cosine:
[tex]cos(\frac{\theta }{2}) = \right\pm\sqrt{\frac{1+cos\theta}{2} }[/tex]
First, let's find the value of cos(θ) using the given information about θ:
Given:
tan(θ) = 11/60
θ lies in the 3rd quadrant (π < θ < 3π/2)
In the 3rd quadrant, both sin(θ) and cos(θ) are negative.
tan(θ) = opposite/adjacent
Also, in the 3rd quadrant, both opposite and adjacent are negative.
Thus,
opposite = -11
adjacent = -60
hypotenuse = √[(-60)² + (-11)²] (Pythagoras theorem)
hypotenuse = 61
cos(θ) = adjacent/hypotenuse
cos(θ) = -60/61
Finally, we can substitute these values into the half-angle formula for cosine:
[tex]cos(\frac{\theta }{2}) = \right\pm\sqrt{\frac{1+(\frac{-60}{61})}{2} }[/tex]
[tex]cos(\frac{\theta }{2}) = \right\pm\sqrt{\frac{\frac{1}{61} }{2} }[/tex]
[tex]cos(\frac{\theta }{2}) = \right\pm\sqrt{\frac{1}{122} }[/tex]
Since the cos(θ/2) is negative. Therefore, the exact value of cos(θ/2) is:
[tex]cos(\frac{\theta }{2}) = \right-\sqrt{\frac{1}{122} }[/tex]
Learn more about trigonometric identity on:
brainly.com/question/24496175
#SPJ1
Find the domain of each expression.
√3 − 6x
√13 − (13 − 2x )
1/√x − 2
Answer:
To summarize:
√3 - 6x: Domain is all real numbers (-∞, +∞).
√13 - (13 - 2x): Domain is all real numbers (-∞, +∞).
1/√x - 2: Domain is all real numbers except x = 0, represented as (-∞, 0) U (0, +∞).
Step-by-step explanation:
To find the domain of each expression, we need to identify any restrictions or limitations on the variables that would result in undefined values.
√3 - 6x:
Since square roots are defined for non-negative numbers, the expression is defined as long as the value inside the square root (√3) is non-negative. The square root of 3 is a positive value, so there are no restrictions on the domain of this expression. Therefore, the domain is all real numbers (-∞, +∞).
√13 - (13 - 2x):
Similar to the previous expression, the square root (√13) is defined for non-negative values. However, we also need to consider the expression (13 - 2x) inside the parentheses. This expression does not have any limitations since it is defined for all real numbers. Therefore, the domain of this expression is all real numbers (-∞, +∞).
1/√x - 2:
For this expression, we need to consider both the square root (√x) and the denominator (1/√x). The square root (√x) is defined for non-negative values of x. However, the denominator 1/√x will become undefined if the value of x is zero because division by zero is undefined. Therefore, we need to exclude x = 0 from the domain. For all other non-zero values of x, the expression is defined. Therefore, the domain of this expression is all real numbers except x = 0, represented as (-∞, 0) U (0, +∞).
Don Arnoldo heredó una parcela de forma rectangular, en la cual el largo más el ancho mide 30 metros y la diferencia entre el largo y el ancho es de 6 metros. ¿Cuánto mide de largo y de ancho la parcela?
Por lo tanto, la parcela mide 18 metros de largo y 12 metros de ancho.
Llamemos "largo" (L) a una de las dimensiones de la parcela y "ancho" (A) a la otra dimensión.
Según la información dada, sabemos que la suma del largo y el ancho es de 30 metros:
L + A = 30 ---(1)
También se nos dice que la diferencia entre el largo y el ancho es de 6 metros:
L - A = 6 ---(2)
Podemos resolver este sistema de ecuaciones utilizando el método de sustitución o de eliminación. En este caso, resolveremos utilizando el método de sustitución.
De la ecuación (2), podemos despejar L en términos de A:
L = A + 6
Sustituyendo este valor de L en la ecuación (1), obtenemos:
(A + 6) + A = 30
2A + 6 = 30
Restamos 6 de ambos lados de la ecuación:
2A = 30 - 6
2A = 24
Dividimos ambos lados de la ecuación por 2:
A = 12
Ahora que conocemos el valor de A, podemos encontrar el valor de L sustituyendo en la ecuación (2):
L = A + 6
L = 12 + 6
L = 18
For similar questions on parcela
https://brainly.com/question/23275489
#SPJ11
Calculate the area of the composite figure please help me with them especially the shape and total area part please
The area of the composite figures are:
The total area of Shape A is = 115.5 in²
and, total area of Shape B is = 51ft².
Here, we have,
from the given diagram we get,
Shape A.)
Part 1: it is a rectangle,
l= 13 and w = 7
so, area = 91 in²
Part 2: it is a triangle,
b = 7 and h = 7
so, area = 1/2 *7 * 7 = 24.5 in²
So, The total area of Shape A is = 115.5 in²
now, Shape B.)
part 1 : it is a rectangle,
l=4 and w = 6
so, area = 24 ft²
part2: it is a square,
side = 3
so, area = 9 ft²
part 3: it is a trapezium,
a = 6, b = 3, h =4
so, area = 1/2 * (6+3) * 4 = 18ft²
So, total area of Shape B is = 51ft².
To learn more on Area click:
brainly.com/question/20693059
#SPJ1
Jaxon is flying a kite, holding his hands a distance of 3.25 feet above the ground and letting all the kite’s string play out. He measures the angle of elevation from his hand to the kite to be 24
∘
∘
. If the string from the kite to his hand is 105 feet long, how many feet is the kite above the ground? Round your answer to the nearest tenth of a foot if necessary.
Pls help . Thx
…………….
Altogether they have 85 marbles.
Given,
Randy's marbles = 50
Randy's marbles is 5/2 of Andy's marbles.
Randy's marbles is 10/3 of Peter's marbles.
Now form the linear equations,
Let Andy has x marbles.
So,
5/2 × x = 50
x = 20
Andy's marbles = 50
Let Peter has y marbles.
So,
10/3 × y = 50
y = 15
Peter's marbles = 15
Thus total marbles of Randy , Andy , Peter is 85.
Know more about equations,
https://brainly.com/question/20778317
#SPJ1
Answer:
85 marbles
Step-by-step explanation:
Andy has 20
Randy has 50
Peter has 15
The figure below represents
marked central angle.
I
of a full circle. Find the measure of the marked central angle.
The measure of the marked central angle for the given circle is 160°.
Given a part of a circle.
This part is 4/9 of the full circle.
We have to find the marked central angle.
We know that,
Total circle can be represented as,
Total circle = 360°
Since the given figure is 4/9 part of the total circle, the marked central angle will be 4/9 of the total central angle.
Marked central angle = 4/9 × 360
= 160°
Hence the marked central angle is 160°.
Learn more about Central Angles here :
https://brainly.com/question/29150424
#SPJ1
enter the number that belongs in the green box
The measure of unknown angle of triangle is 28.2°.
From the given triangle, we have sides 11 units, 12 units and 20 units.
The law of cosine states that the square of any one side of a triangle is equal to the difference between the sum of squares of the other two sides and double the product of other sides and cosine angle included between them. The law of cosine states that: a² = b² + c² − 2bc·cosA.
Here, 11²=12²+20²-2×12×20·cosA
121=144+400-480·cosA
121=544-480·cosA
121-544=-480·cosA
-423=-480·cosA
cosA= 423/480
cosA= 0.88125
A=28.2°
Therefore, the measure of unknown angle of triangle is 28.2°.
Learn more about the cosine rule here:
https://brainly.com/question/28716982.
#SPJ1
[tex]\\ x^{2} x^{2} x^{2} \sqrt{x}[/tex]
The expression x²x²x²√x when evaluated is [tex]x^{6\frac{1}{2}}[/tex]
How to evaluate the expressionFrom the question, we have the following parameters that can be used in our computation:
x²x²x²√x
The above expression can be evaluated using the law of indices
Using the above as a guide, we have the following:
x²x²x²√x = x⁶√x
So, we have
x²x²x²√x = x⁶ * √x
When evaluated, we have
x²x²x²√x = [tex]x^{6\frac{1}{2}}[/tex]
Hence, the expression when evaluated is [tex]x^{6\frac{1}{2}}[/tex]
Read more about expression at
https://brainly.com/question/15775046
#SPJ1
Complete question
Evaluate x²x²x²√x
Name at least ONE method a person can use to send money to another person who does not have a bank account.
Answer:
One method that a person can use to send money to another person who does not have a bank account is through a money transfer service like Western Union or MoneyGram. These services allow individuals to send money to recipients who can then collect it in cash from designated locations. The sender can visit a local agent or use an online platform to initiate the transfer, providing the recipient's name and other required details. The recipient can then go to a nearby agent location with proper identification to receive the cash. This method provides a convenient way to send money to individuals who may not have access to traditional banking services.
Step-by-step explanation:
Person 1 takes money out of wallet, gives money to person 2.
BOOM!
Winona has two jobs; one pays $10.00 per hour and the other pays $9.25 per hour plus an average of 70% of the hourly pay in tips and bonuses. Each pay
period, 20% of her total pay goes to taxes.
Part 1 of 2
(a) Write and simplify an equation that describes Winona's total take-home pay, P, in terms of the number of hours, x, worked at the first job and the
number of hours, y, worked at the second.
The total take-home pay from Winona's two jobs can be found using the equation
P=
Part 2 of 2
X
3
(b) If Winona is committed to work 30 hours per week at the first job, how many hours per week would she need to work at the second job if she needs
her biweekly take-home pay to be $800? Round the answer to one decimal place.
In order for her biweekly take-home pay to be $800, Winona needs to work
hours per week at her second job.
Answer:
76.5 hours
(If you like this answer i would appreciate if u give brainliest but otherwise, i hope this helped ^^)
Step-by-step explanation:
Part 1 of 2:
(a) The equation that describes Winona's total take-home pay, P, in terms of the number of hours, x, worked at the first job and the number of hours, y, worked at the second job can be written as:
P = (10x) + (9.25y + 0.7 * 9.25y) - 0.2[(10x) + (9.25y + 0.7 * 9.25y)]
Simplifying the equation:
P = 10x + 9.25y + 0.7 * 9.25y - 0.2(10x + 9.25y + 0.7 * 9.25y)
Part 2 of 2:
(b) If Winona is committed to working 30 hours per week at the first job, let's assume x = 30. We need to find the number of hours per week, y, she would need to work at the second job to reach a biweekly take-home pay of $800.
Using the simplified equation from part (a), we substitute x = 30 and solve for y:
800 = (10 * 30) + (9.25y + 0.7 * 9.25y) - 0.2[(10 * 30) + (9.25y + 0.7 * 9.25y)]
800 = 300 + (9.25y + 0.7 * 9.25y) - 0.2(300 + (9.25y + 0.7 * 9.25y))
Now, we can solve for y:
800 = 300 + 9.25y + 0.7 * 9.25y - 0.2(300 + 9.25y + 0.7 * 9.25y)
Simplify the equation:
800 = 300 + 9.25y + 0.7 * 9.25y - 0.2 * 300 - 0.2 * 9.25y - 0.2 * 0.7 * 9.25y
Combine like terms:
800 = 300 - 60 + 9.25y - 1.85y - 0.1295y
800 = 240 + 7.32y
Subtract 240 from both sides:
560 = 7.32y
Divide both sides by 7.32:
y ≈ 76.5
Therefore, Winona would need to work approximately 76.5 hours per week at her second job to reach a biweekly take-home pay of $800.
Amelia runs a day care center. So far this year, the enrollment has consisted of 3 babies and 6 children of other ages. Considering this data, how many of the next 12 children to enroll should you expect to be babies? PLS HURRY
Answer:
Hope this saved you ^^
Step-by-step explanation:
To determine the number of babies we can expect among the next 12 children to enroll, we need to calculate the proportion of babies based on the current enrollment data.
Out of the total enrollment so far, there are 3 babies and 6 children of other ages, making a total of 9 children.
Proportion of babies = (Number of babies / Total number of children) = 3 / 9 = 1/3
Now, to estimate the number of babies among the next 12 children, we multiply the proportion of babies by the total number of children to be enrolled:
Number of babies expected = Proportion of babies * Total number of children to enroll
Number of babies expected = (1/3) * 12 = 4
Therefore, based on the current enrollment data, we can expect approximately 4 out of the next 12 children to be babies.
1. Calculate GDP at FC from the following data: GDP at MP = Rs. 2,000 billion Indirect taxes = Rs. 300 billion Subsidies = Rs. 100 billion
The GDP at FC from the following data: GDP at MP = Rs. 2,000 billion Indirect taxes = Rs. 300 billion Subsidies = Rs. 100 billion is: Rs. 1,800 billion.
What is GDP?Using this formula to determine the GDP at FC
GDP at FC = GDP at MP - Indirect taxes + Subsidies
Where:
GDP at MP (Market Price) = Rs. 2,000 billion
Indirect taxes = Rs. 300 billion
Subsidies = Rs. 100 billion
Let plug in the formula
GDP at FC = 2,000 billion - 300 billion + 100 billion
GDP at FC = 1,800 billion
Therefore the GDP at factor cost (FC) is Rs. 1,800 billion.
Learn more about GDP here:https://brainly.com/question/1383956
#SPJ1
Question 5 of 10
What can you say about the y-values of the two functions f(x) = 32 - 3
and g(x) = 7x² - 3?
A. The minimum y-value of f(x) is -3.
B. The minimum y-value of g(x) is -3.
C. g(x) has the smallest possible y-value.
D. f(x) has the smallest possible y value.
SUBMIT
The minimum y-value of g(x) is -3 and g(x) has the smallest possible y-value.
The function f(x) = 32 - 3 is a constant function, as there is no variable term involving x. It simplifies to f(x) = 29.
Regardless of the value of x, the function f(x) will always have a y-value of 29.
Therefore, option A is incorrect because there is no minimum y-value for f(x); it is a constant.
g(x) = 7x² - 3 is a quadratic function in the form of ax² + bx + c, where a = 7, b = 0, and c = -3.
The coefficient a (7) is positive, indicating that the parabola opens upward.
Since there is no linear term (bx), the vertex of the parabola is located at the point (0, -3), which corresponds to the minimum y-value of the function.
To learn more on Functions click:
https://brainly.com/question/30721594
#SPJ1
50 POINTS ANSWER THE LAST QUESTION ON THE CHART AND GIVE ME THE EQUATION FOR BRAINLIST
Answer:L*W
Step-by-step explanation:
if you look at the pattern you will see that
Mr. Chi wants to sell his house. The state he lives in charges a 3.2% sales tax on the sale of a house. The county charges a 2.6% sales tax, and the city charges a 1.8% sales tax. If Mr. Chi sells his home for $289,300, what is his total tax bill?
Answer:
To calculate Mr. Chi's total tax bill, we need to find the amount of sales tax charged by each entity and add them together.
The state sales tax on the sale of a house is 3.2%, which means Mr. Chi will owe 0.032 x $289,300 = $9,267.20 in state sales tax.
The county sales tax on the sale of a house is 2.6%, which means Mr. Chi will owe 0.026 x $289,300 = $7,520.80 in county sales tax.
The city sales tax on the sale of a house is 1.8%, which means Mr. Chi will owe 0.018 x $289,300 = $5,207.40 in city sales tax.
Therefore, Mr. Chi's total tax bill will be $9,267.20 + $7,520.80 + $5,207.40 = $21,995.40.
.Se lanzan tres monedas al aire simultáneamente ypara cada moneda se registra si aparece águila osol. ¿Cuál es la probabilidad de que ocurra cada uno de los siguientes eventos?
a) Que es obtengan dos águilas.
b) Que se obtenga al menos un águila. c) Que no es obtenga ninguna águila.
The probabilities of getting eagles in different quantities, given the number of coins would be:
a) Probability of getting two eagles: 3 / 8b) Probability of getting at least one eagle: 7 / 8c) Probability of no eagle: 1 / 8How to find the probabilities ?There are 8 possible outcomes when tossing 3 coins: HHH, HHT, HTH, THH, TTH, THT, HTT, TTT.
The probability of getting 2 eagles is 3/8 because the ways of getting eagles HHH, HHT, and HTH.
The probability of getting at least 1 eagle is 7 / 8. There are 7 ways to get at least 1 eagle: HHH, HHT, HTH, THH, TTH, THT, and HTT.
The probability of getting no eagles is 1/8 / . There is only 1 way to get no eagles: TTT.
Find out more on coins at https://brainly.com/question/30075179
#SPJ9
What is the value of n?
Enter your answer in the box.
n = __ cm
The value of the missing segment n using the product of intersecting chord theorem is 14cm
Using the product of intersecting chord principleThe product of the segments of two intersecting chords are equal.
The segments of the chords ;
Chord 1 = 4 and n
Chord 2 = 7 and 8
The principle can be related Mathematically thus ;
4 × n = 7 × 8
4n = 56
Divide both sides by 4
4n/4 = 56/4
n = 14
Therefore, the value of n in the question is 14cm
Learn more on circles ;https://brainly.com/question/14868497
#SPJ1
Explain the meaning of the term floor plan in this context
floor plan => It is the scale drawing that show the relationship between rooms, spaces, and physical features viewed from the above
THIS PIC WILL ALSO HELP U
What is the answer pls