Answer:
380 dollars
Step-by-step explanation:
John earns $437 a week after a 15% pay rise.
Let the initially pay of John be x
x + (15% of x) = 437
x + 0.15x = 437
1.15x = 437
x = \frac{437}{1.15}
1.15
437
x = 380
What restriction should be applied to y = tanx for y = arctanx to be defined?
Look at the picture below for the choices.
Answer:
its c on edge
Step-by-step explanation:
restrict the domain to (-pi/2,pi/2)
The restriction that should be applied to the function [tex]y = tanx[/tex] for [tex]tan^{-1} (x)[/tex] to be defined is option (C) restrict the domain to [tex](-\frac{\pi }{2} ,\frac{\pi }{2} )[/tex] is the correct answer.
What is graph of a function?A graph can be defined as a pictorial representation or a diagram that represents data or values in an organized manner. The graph of a function f is the set of all points in the plane of the form (x, f(x)).
For the given situation,
The graph below shows the functions tan(x) and arctan(x) that is tan^-1(x)
In order to have an inverse function for trigonometry, we restrict the domain of each function, so that it is one to one.
A restricted domain gives an inverse function because the graph is one to one and able to pass the horizontal line test.
Thus by restricting the domain [tex](-\frac{\pi }{2} ,\frac{\pi }{2} )[/tex] we can obtain the function [tex]tan(x)[/tex] as [tex]tan^{-1} (x)[/tex].
Hence we can conclude that the restriction that should be applied to the function [tex]y = tanx[/tex] for [tex]tan^{-1} (x)[/tex] to be defined is option (C) restrict the domain to [tex](-\frac{\pi }{2} ,\frac{\pi }{2} )[/tex] is the correct answer.
Learn more about graph of a function here
https://brainly.com/question/2275360
#SPJ3
A data obtained by conducting a survey is called?
Answer:
Survey data
Step-by-step explanation:
Survey data is defined as the resultant data that is collected from a sample of respondets that took a survey
The data obtained by conducting a survey is called as "survey data".
It is given that we are conducting a survey.
what will we call the data which is obtained through the survey.
What is a survey ?
Survey is a research method of gathering information or collecting the data.
Survey data is defined as the resultant data that is collected from a sample of respondents that took a survey.
The survey data is generally precise and enclosed within the topic of survey.
Thus, the data obtained by conducting the survey is called "survey data".
To learn more about survey click here ;
https://brainly.com/question/18752038
#SPJ6
78÷9 please there is a reminder
8.66666666667
But if you need a smaller number it would be 8.66 or 8.6
Hope dis helps TwT
please help and answer properly
Answer:
6. Ethan should shade the region marked B
7. No, point (0, 4) will not be included in the solution set
8. Point (0, -2) will not be included in the solution set
Step-by-step explanation:
Let us explain how to solve the question
The graph represents the equation 2x - 5y = 10
The inequality is 2x - 5y > 10
The sign of inequality is greater than without equal, that means the line represents it must be a dotted line because all the points on the line do not belong to the solution set of the inequality.
To find the area of the solution you must put y on a side and the other term on the other side
∵ 2x - 5y > 10
→ Add 5y to both sides to move y in the other side
∴ 2x - 5y + 5y > 10 + 5y
∴ 2x > 10 + 5y
→ Subtract 10 from both sides to move 10 to the other side
∵ 2x - 10 > 10 - 10 + 5y
∴ 2x - 10 > 5y
→ That means 5y < 2x - 10
∴ 5y < 2x - 10
6.
→ y < that means the area of the solutions is under the line
∴ The solutions of the inequality lie in area B
∴ Ethan should shade the region marked B
7.
∵ Point (0, 4) lies above the line in the region marked A
→ That means it does not lie in the area of the solutions
∴ Point (0, 4) will not be included in the solution set
8.
∵ Point (0, -2) lies on the line
∵ All the point on the line did not belong to the solution set as we
said before
∴ Point (0, -2) will not be included in the solution set
combine like terms to simplify
1.17 - .07a + (-3.92a)
Answer:
1.17+3.85
Step-by-step explanation:
1.17-(-3.85a)
Which number
not in scientific notation?
6x10^24
2.01x10^-2
1.3x10^-4
0.5x10^3
Answer:
It's 0.5x10^3
Step-by-step explanation: A number in scientific notation has to be between 1 an 10. It can't be less than one or 10.
Which expression uses the associative property to make it easier to evaluate
14( 1/7• 2/5)
Step-by-step explanation:
Associative property is a(bc)=(ab)c
14(1/7 * 2/5) = (14* 1/7) 2/5 = 2* 2/5 = 4/5
Answer: (14 x 1/7) 2/5
Step-by-step explanation: yes.
One endpoint of a line segment has coordinates represented by (x+4,1/2y). The midpoint of the line segment is (3,−2).
How are the coordinates of the other endpoint expressed in terms of x and y?
Answer:
[tex]\displaystyle \left(-x+2, -\frac{1}{2}y-4}\right)[/tex]
Step-by-step explanation:
We are given that one of the endpoints of the line segment is:
[tex]\displaystyle \left( x + 4, \frac{1}{2}y\right)[/tex]
And that the midpoint of the line segment is (3, -2).
And we want to find the other coordinates in terms of x and y.
We can consider using the midpoint formula:
[tex]\displaystyle M = \left(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2}\right)[/tex]
We are given that the midpoint is (3,-2). Substitute:
[tex]\displaystyle (3, -2) = \left(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2}\right)[/tex]
We can solve for each coordinate independently.
x-coordinate:
We have:
[tex]\displaystyle 3=\frac{x_1+x_2}{2}[/tex]
One of the two endpoints is (x + 4, 1/2y). Hence, we can substitute x + 4 for x₁:
[tex]\displaystyle 3=\frac{(x+4)+x_2}{2}[/tex]
Solve for the second x-coordinate x₂:
[tex]\displaystyle \begin{aligned} 6 & = x+4 + x_2 \\ \\ x_2 + x & = 2 \\ \\ x_2 & = -x +2 \end{aligned}[/tex]
Hence, the x-coordinate of the second point is -x + 2.
y-coordinate:
We have:
[tex]\displaystyle -2=\frac{y_1+y_2}{2}[/tex]
We can substitute 1/2y for y₁. This yields:
[tex]\displaystyle -2=\frac{\dfrac{1}{2}y+y_2}{2}[/tex]
Solve for y₂:
[tex]\displaystyle \begin{aligned} -4 & = \frac{1}{2}y + y_2 \\ \\ y_2 & = -\frac{1}{2}y - 4\end{aligned}[/tex]
In conclusion, the other coordinate expressed in terms of x and y is:
[tex]\displaystyle \left(-x+2, -\frac{1}{2}y-4}\right)[/tex]
Answer:
This is for a different question the answer above is correct because I used it steps. Now the question below is similar and is on the test.
Step-by-step explanation:
Departure time: 6:15 am
Arrival time: 4:24 pm
Travel time: ?
Answer:
Airplanes
Step-by-step explanation:
Aviation is the Airplanes and they need to take off on their flight on their way for Visit! Welcome Aboard!
Answer:
10h and 9 min
Step-by-step explanation:
100 points!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!1
Answer:
y=5.8
x=10
Step-by-step explanation:
30\3=10
10-4.2=5.8
Answer:
x = 10 cm
y = 5.8 cm
Step-by-step explanation:
Area of a rectangle
[tex]\large\boxed{A=l\:w}[/tex]
where l is the length and w is the width.
From inspection of the given rectangle:
Width = 3 cmLength = x = y + 4.2 cmArea = 30 cm²Substitute the given values of area, width and length into the formula and solve for x:
[tex]\begin{aligned}A&=l\:w\\\implies 30&=x \cdot 3\\3x&=30\\x&=10\end{aligned}[/tex]
Substitute the found value of x into the expression for length and solve for y:
[tex]\begin{aligned}y+4.2&=x\\y+4.2&=10\\y&=10-4.2\\\implies y&=5.8\end{aligned}[/tex]
Pat started reading at 1pm . He reads five pages in 15 minutes. If Pat reads until 2:45 pm, how many pages has he read?
Answer:
35 pages
Step-by-step explanation:
First count how many minutes have passed. Divide by 15, then multiply by 5 since 5 pages are read every 15 minutes.
Answer:
35 pages
Step-by-step explanation:
If Pat reads 5 pages in 15 minutes, then it means that for every 5 pages he reads, it will take him 15 minutes. So, his rate is 5/15, simplified to 1/3. For every 1 page he reads, it will take him 3 minutes. 1pm-2:45pm is 1 hour and 45 minutes, which is 105 minutes. Now we just have to divide it by 3, since he reads 1 page every 3 minutes. 105/3=35. He will read 35 pages.
Please help what Is 4/5 divided by 2
Answer:
2/5
Step-by-step explanation:
Answer:
2.25 is your answer
Step-by-step explanation:
18 yd = 6 ft
O True
O False
Answer:
True
Step-by-step explanation:
Answer:
False
Step-by-step explanation:
It's the other way around. A yard is three feet.
number 2 please thank you!!
Answer:
the inverse of a function takes the output of the actual function as the input and gives the input of the initial function as the output
here, we are given that when we input 23 in the inverse function of 'f', we get 3
this means that if we input 3 in the initial function, we will get 23 as the output
f(x) = x² - ax + 8
changing the input value to 3
f(3) = (3)² - 3a + 8
changing the output value to 23
23 = 9 - 3a + 8
3a = 17 - 23
3a = -6
a = -2
Need help ASAP have 30 minutes
Answer:
1 box of paper will cost $7.25.
Step-by-step explanation:
14.50 divided by 2 is 7.25, therefore one box of paper will be 7.25
Which equation represents the model below
A) 2x - 2 = -6
B) 4x = 6
C) 2x + 2 = -6
D) 4x = -6
what is the expanded form of 5.629
Answer:
5
+ 0.6
+ 0.02
+ 0.009
Step-by-step explanation:
5 × 1
+ 6 × 0.1
+ 2 × 0.01
+ 9 × 0.001
5 × 100
+ 6 × 10-1
+ 2 × 10-2
+ 9 × 10-3
all of them are correct
1 gallon = 4 quarts
1 quart = 2 pints
1 pint = 2 cups
1 cup = 8 ounces
How many ounces are in 4 gallons?
Answer:
512
Step-by-step explanation
128 ounces in a gallon times that by 4. ====== ....... 512.
Ur welcome please heart this
A box contains one each of $1, $5, $10, $20, and $100 bills. It costs $14 to reach in and withdraw one bill. What is the expected value?
Answer:
13.20
Step-by-step explanation:
1/5 (1+5+10+20+100) - 14
The required expected value is 13.20.
A box contains bill of = $1, $5, $10, $20, and $100
It costs $14 to reach in and withdraw one bill.
Its estimated value of the variable in probability.
Expected value= mean - 14
= (1+5+10+20+100)/5 -14
= 13.20
Thus, the required expected value is 13.20.
Learn more about expected value here:
https://brainly.com/question/24305645
#SPJ2
1. General admission to the Fair is $10.00. Each ride costs $4.75. If Lisa has $75.00 to spend att Fair , what method cal be used to find out how many rides she can go on?
Answer:D
Step-by-step explanation:mark me brainliest
Which graph models a relationship with the same unit rate ?
kendsgkjdbgfz
Step-by-step explanation:
Select the correct answer.
What is the factored form of t6 − p3?
A. (t2 + p)(t4 − pt2 + p2)
B. (t − p)2(t2 − pt + p2)
C. (t2 − p)(t4 + pt2 + p2)
D. (t − p)2(t2 + pt + p2)
Simplify (1/2 pt each)
-2^3=
8^2=
9^-1=
(-4)^-2=
HELPP PLSSS
Answer:
-2^3= -8
8^2= 64
9^-1= 1/9
(-4)^-2= 1/16
Step-by-step explanation:
Wish this can help you.
The value of the expressions -2³, 8², 9⁻¹, and (-4)⁻² will be - 8, 64, 1/9, and - 1/16, respectively.
What is the value of the expression?When the relevant components and basic processes of a numerical method are given values, the expression's result is the result of the computation it depicts.
The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.
Simplify each expression, then we have
-2³ = - 8
8² = 64
9⁻¹ = 1/9
(-4)⁻² = 1 / (-4)² = - 1/16
The value of the expressions -2³, 8², 9⁻¹, and (-4)⁻² will be - 8, 64, 1/9, and - 1/16, respectively.
More about the value of the expression link is given below.
https://brainly.com/question/23671908
#SPJ2
The price of a holiday was increased by 11% to £870. What was the price before the increase?
Give your answer to the nearest penny.
Answer:
784
Step-by-step explanation:
My bad don't know how to explain..
Replace "?" with ">", "<", or "=' to make the sentence true:
13+7?11
Describe the steps that you need to follow to reach the correct answer
___________________________________
Write an equality to represent the following statement:
"A number is greater than 4"
Describe the steps that you need to follow to reach the answer.
Answer:
[tex]>[/tex]
Step-by-step explanation:
[tex]13 + 7 = 20[/tex]
[tex]20 > 11[/tex]
I know this because if 13 + 7 is 20, thats bigger than 11.
Ex of greater than 4:
10 > 4
-BBBM
Answer:
Step-by-step explanation:
The first one is going to be a less than symbol and the steps you would need to take is add 13 and 7. the second problem, you could do 5=4 and your answer would be greater than four. The steps you would take is 5=4 which is 9 and 9 is greater than 4
Suppose f(x) = 12x – 1,400 and g(x) = 12x – 1,535. Describe the transformation of the graph of f to the graph of g. Group of answer choices The graph is translated left 135 units. The graph is translated right 135 units. The graph is translated down 135 units. The graph is translated up 135 units.
The transformation of the graph of f to the graph of g is that the graph is translated down 135 units.
What is Graph?Graph is a mathematical representation of a network and it describes the relationship between lines and points.
The given two functions are
f(x) = 12x – 1,400 and
g(x) = 12x – 1,535
A transformation is a general term for four specific ways to manipulate the shape and/or position of a point, a line, or geometric figure.
We need to find the transformation of the graph of f to the graph of g.
The graph is translates down 135 units, because the y-intercept decreased by 135 units from f(x) to g(x).
Hence, the transformation of the graph of f to the graph of g is that the graph is translated down 135 units.
To learn more on Graph click:
https://brainly.com/question/17267403
#SPJ2
3/8 is equal to
A) 0.222
B) 0.375
C) 0.444
D) 0.666
Answer:
B 0.375
Step-by-step explanation:
Google told me that 3/8 of a whole is 0.375
Answer:The anwser is B 0.375
Step-by-step explanation:
3 dived by 8 is 0.375
Use the Distributive property to find the product. 3x891=3(?-?)
Answer:
900,9
Step-by-step explanation:
distribute the 891 into something more simpler. 900 and 9. you can do 3 times 900 which is 2700 and subtract 3 times 9 from 2700 which is just saying 2700 minus 27, which in turn gives you 2673
its a very long question to ask
Answer:
tell me bro i will answer the question
b. the results from both game a and game c align closely with the theoretical probability of winning those games while the results from game b don't
Learning Task 4. Solve the problem. Estimate the total amount. Mr. Cruz's monthly
income is P75,000.00. He divide his income to the following expenses:
Food: P 22, 450.89
Recreation: P5, 676.63
Clothes: P 15,670.25
Transportation: P 10,067.15
Step-by-step explanation:
Answer: 21,135.08
Step-by-step explanation: because
22,450.89+5,676.63+15 ,670.25+10,067.15=53,864.92
so now 75,000 - 53,864.92 = 21,135.08 that's it