Answer:
Domain : 0° < x <90°
Range: 90° < y < 180°.
Step-by-step explanation:
When we have a function:
f(x) = y
the domain is the set of the possible values of x, and the range is the set of the possible values of y.
In this case we have:
x + y = 180°
such that x < y
Let's analyze the possible values of x.
The smallest possible value of x must be larger than 0°, as we are workin with suplementary angles.
Knowing this, we can find the maximum value for y:
0° + y = 180°
y = 180° is the maximum of the range.
Then we have:
0° < x
y < 180°
To find the other extreme, we can use the other relation:
x < y.
Then, we can impose that x = y (this value will not be either in the range nor the domain)
if x = y then:
x + y = x + x = 180
2*x = 180
x = 90°
This will be the maximum of the domain and the minimum of the range.
Then we have that the domain is:
0° < x <90°
And the range is:
90° < y < 180°.
composite numbers greater than 10 but less than 20
Answer:
10, 12, 14, 15, 16,18,20
Step-by-step explanation:
A composite number is a positive integer. which is not prime (i.e., which has factors other than 1 and itself)
Hav a nice day
Happy if i get brainliest
The composite numbers greater than 10 but less than 20 will be 10, 12, 14, 15, and 16,18,20.
What is the number?A number is a mathematical entity that can be used to count, measure, or name things. For example, 1, 2, 56, etc. are the numbers.
It is given that, composite numbers must be greater than 10 but less than 20
An integer that is positive and not prime is a composite number. The first few composite numbers are 4, 6, 8, 9, 10, 12, 14, and 15 commonly abbreviated as "composites"
In all areas of mathematics, including shape, measurement, quantifying quantities of objects, and computation, composite numbers are applied.
To put it simply, odd composite numbers are all odd numbers that are not prime numbers. For illustration, use 9, 15, 21, etc.
Thus, the composite numbers greater than 10 but less than 20 will be 10, 12, 14, 15, and 16,18,20.
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hector worked monday, tuesday and thursday from 9:00 am to 4:30 pm with a half hour lunch each day. How many total hours did he work?
A class sold tickets for a dance. Student tickets cost $2 and faculty tickets cost $2.50. A total of $450 was collected and 216 tickets were sold. How many faculty tickets were sold?
If all 216 tickets sold were faculty tickets, the revenue would be 216 * 2.5, or $540
The actual revenue collected was $450. The difference between $540 and $450 is $90.
The difference between the student and faculty tickets are $2.50-$2, or .50
$90.00 / .50 = 180 student tickets sold.
That leaves 216-180, or 36 as faculty tickets.
180 student tickets at $2 = $360
36 faculty tickets at $2.50 = $90
$360 + $90 = $450
David's airplane trip took 3.8 hours. For one-half of that time, the airplane flew at a speed of 680 miles per hour, and for the rest of the time, it flew at a speed of 740 miles per hour. What distance did David travel?
Answer:
2,698 mi
Step-by-step explanation:
3.8 hr × 1/2 = 1.9 hr
680 mi/hr × 1.9 hr = 1,292 mi
740 mi/hr × 1.9 hr = 1,406 mi
1,292 mi + 1,406 mi = 2,698 mi
The noontime temperature was 29°F. This was 4°F lower than predicted. Write and solve an equation to determine the predicted noontime temperature
Answer:
29x-4
Step-by-step explanation:
David bought two video games and a DVD. One video game cost $32.50 and the other video game cost $45.35. David spent a total of $115.65. How much did the DVD cost?
Answer:
$37.80
Step-by-step explanation:
Add the cost of the 2 video games together to get 77.85
Subtract 77.85 from the total, $115.65
$37.80
Hope this helps :-)
A, b, and c are collinear, and B is between a and c. The ratio of AB to AC is 1:2. If A is at (7,-1) and B is at (2,1) what are the coordinates of point C
Answer:
C(-3,3)
Step-by-step explanation:
Given
A = (7,-1)
B = (2,1)
AB:AC = 1:2
Required
Determine the coordinates of C
Since, B is between A and C; we need to determine ratio BC as follows;
[tex]AB:AC = 1:2[/tex]
Convert to division
[tex]\frac{AB}{AC} = \frac{1}{2}[/tex]
AC = AB + BC;
[tex]\frac{AB}{AB + BC} = \frac{1}{2}[/tex]
Cross Multiply
[tex]2 * AB = 1 * (AB + BC)[/tex]
[tex]2 AB = AB + BC[/tex]
[tex]2AB - AB = BC[/tex]
[tex]AB = BC[/tex]
Divide both sides by BC
[tex]\frac{AB}{BC} = 1[/tex]
Rewrite as
[tex]\frac{AB}{BC} = \frac{1}{1}[/tex]
Write as ratio
[tex]AB:BC = 1:1[/tex]
Next is to determine the coordinates of C as follows;
Because B is between both points. we have:
[tex]B(x,y) = (\frac{mx_2 + nx_1}{m+n},\frac{my_2 + ny_1}{m+n})[/tex]
Where
[tex]m:n = AB:BC = 1:1[/tex]
[tex]B(x,y) = B(2,1)[/tex]
[tex]A(x_1,y_1) = A(7,-1)[/tex]
So; we're solving for x2 and y2
[tex]B(2,1) = (\frac{mx_2 + nx_1}{m+n},\frac{my_2 + ny_1}{m+n})[/tex]
Where
Solving for x2;
[tex]x = \frac{mx_2 + nx_1}{m+n}[/tex]
[tex]2 = \frac{1 * x_2 + 1 * 7}{1+1}[/tex]
[tex]2 = \frac{x_2 + 7}{2}[/tex]
Cross Multiply
[tex]2 * 2 = x_2 + 7[/tex]
[tex]4 = x_2 + 7[/tex]
[tex]x_2 = 4 - 7[/tex]
[tex]x_2 = -3[/tex]
Solving for y2;
[tex]y = \frac{my_2 + ny_1}{m+n}[/tex]
[tex]1 = \frac{1 * y_2 + 1 * -1}{1+1}[/tex]
[tex]1 = \frac{y_2- 1}{2}[/tex]
Cross Multiply
[tex]2 * 1 = y_2 - 1[/tex]
[tex]2 = y_2 - 1[/tex]
[tex]y_2 = 2 + 1[/tex]
[tex]y_2 = 3[/tex]
Hence, the coordinates of C are: C(-3,3)
7 kilogramos cuanto miligramos son
Answer:
7e+6
Step-by-step explanation:
7e+6 miligramos
Recycled CDs, Incorporated, offers a choice of 5 used CDs for $23 with each additional CD costing $3 Write a cost function for purchasing 5 or more CDs. What will the cost of buying 10 Ds be? Let x represent the number of CDs over 5
Answer:
-f(x)=23+3x
-The cost of buying 10 CDs will be $38.
Step-by-step explanation:
From the information given, the cost function for purchasing 5 or more CDs has to indicate that you would pay 23 plus the result of multiplying 3 for the number of CDs over 5:
f(x)=23+3x, where:
x represents the number of CDs over 5
Using this function you can determine the cost of buying 10 CDs:
x would be equal to 5 that is the number of CDs over 5 when you buy 10 CDs:
10-5= 5
Now, you can replace the value of x:
f(x)=23+(3*5)
f(x)=23+15=38
According to this, the cost of buying 10 CDs will be $38.
4x - 7 = -3x
What is the answer?
Answer:
x = 1
Step-by-step explanation:
1. Add 3x to both sides of the problem
4x + 3x - 7 = -3x + 3x-3x + 3x cancels out and leaves us with zero7x - 7 = 02. Add 7 to both sides
7x (- 7 + 7) = 0 + 7-7 + 7 cancels out7x = 73. Divide both sides by 7
7x/7 = 7/7x = 1To make sure our answer is correct we can plug in 1 to x in the problem
4(1) - 7 = -3(1)4 - 7 = -3 : TrueAnswer: x= 7
Step-by-step explanation:
4x-7= -3x First add -3x on both sides
+3x +3x
7x -7 = 0
+7 +7 add 7 to both sides
7x = 7
x = 1 divide both sides by 7
Dave has $15 to spend on an $8 book and two birthday cards(c) for his friends. how much can he spend on each card if he buys the same card for each friend?
Please do not use the equal sign, we're using the greater than >, or less than sign< !
Answer:
each card cost = $3.5
Step-by-step explanation:
to spent $15 = $8 + 2cards
$15 = $8 + 2C
$15 - $8 = 2C
$7 = 2C
C = $7 / 2
C = $3.5
therefore each card cost = $3.5
Answer:
$3.50 per card
Step-by-step explanation:
15 = 8 + 2x
x = 7 / 2
x = 3.50
If (x + 5)/2 is an integer, then x must be?
1. In the expression 9x-11.9 is a coefficient
Answer:
9 is a coefficient
Step-by-step explanation:
9x-11.9
A coefficient is the number in front of the variable
9 is a coefficient and -11.9 is a constant
A student solved the equation 7 = 3(t - 1) - 2(t - 3) as shown below. Assume there is a value for t that satisfies the equation. Provide a justification for each step of the solution process. LaTeX: 7\:=\:3\left(t-1\right)-2\left(t-3\right)7 = 3 ( t − 1 ) − 2 ( t − 3 ) LaTeX: 7\:=\:3t\:-3-2t\:+67 = 3 t − 3 − 2 t + 6.
Answer: 7
Step-by-step explanation: You first distribute 3, and -2. This gets you 7 = 3t -3 -2t +3. Then you add like terms which gets you, 7 = t.
50% of what number is 11.72
Answer:
50% of what number is 11.72 = 23.44
Step-by-step explanation:
50% is half, so simply doube it.
find the perimeter of the triangle to the nearest unit A(-2,3) B(2,1) C(-2,1)
Answer:
10 units
Step-by-step explanation:
We can find the length of the hypotenuse of this right triangle using the Pythagorean theorem.
AB² = AC² +BC²
AB² = 2² +4² = 20
AB = √20 ≈ 4.47
Then the perimeter is ...
P = AB +BC +CA = 4.47 +4 +2 = 10.47
P ≈ 10 units
once again why is it so dumb???
Answer: vrey suptuidddd
Step-by-step explanation:
Is this sum rational or irrational? Explain.
1.12 + 18/7 (1 point)
The sum is rational because both 1.12 and 18 are rational, and the sum of rational numbers is rational.
The sum is irrational because 1.12 is irrational, and the sum of a rational number and an irrational number is irrational..
The sum is rational because both 1.12 and 18 are positive, and the sum of positive numbers is rational.
The sum is irrational because 18 is irrational, and the sum of a rational number and an irrational number is irrational.
Answer: The sum is irrational because 18/7 is irrational, and the sum of a rational number and an irrational number is irrational
Step-by-step explanation:
Given the two numbers :
1.12 and 18/7
1.12 is a rational number as it is a not a non-terminating decimal and can accurately be expressed in the form a/b, where a and b are integers, thus 1.12 is equivalent to 112 / 100
18/7 on the other hand is an irrational number as it is a non-terminating decimal.
Hence, takingbthe sum of both numbers (rational and irrational) results in an irrational output.
18 / 7 = 2.57142857....
Taking the sum of both,
1.12 + 2.57142857... = 3.69142857... ; which is irrational
Answer:
The sum is irrational because 18/7 is irrational, and the sum of a rational number and an irrational number is irrational.
Step-by-step explanation:
30 pts and will mark brainiest.
please explain.
Answer:B
Step-by-step explanation:
X+2 divide 3x^4-x+2=
3x^3-6x^2+12x-25=
52=
52/x+2
the answer is d. its simple,the reason of that is because you would set up the synthetic division using the coefficients of the numerator and the root of the denominator. divide using the rules for synthetic division.
3x 4 cubed- 6x3 cubed +12x 2 cubed-24x-z+48+ 2(z-47) over x+2
|-6| = -|6| Are they equal to each other of which one has more value ?
Answer:
no. |-6| is +
Step-by-step explanation:
whenever a number has the symbol in the box, it makes it positive no matter what. -|6| = -6 while |-6| = +6
Answer:
|-6| has more value than -|6|
Step-by-step explanation:
|-6| = -|6| are not equal
|-6| = 6 absolute value of a number is positive no matter what is the sign
-|6| = -6 because the minus is out the absolute sign
0.18 repeating fraction in the simplest form.
Answer:
2/11
Step-by-step explanation:
Let's say our fraction is x = 0.1818181818...
The trick is to multiply x by 10²=100 in this case, since there are two repeating digits, and then subtract the original x.
So, in fact you are subtracting 0.181818 from 18.181818 which effectively cancels the entire bit after the decimal point.
You get:
100x - x = 18
Which you can solve:
99x = 18
x = 18/99 = 2/11
Point O is on line segment NP Given OP = 4x - 5 , NP = 3x + 4 , and NO = 2x - 3 determine the numerical length of OP .
Answer: 11 units.
Step-by-step explanation:
Given: Point O is on line segment NP.
i.e. NP is the combination of NO and OP.
i.e. NP = NO+OP (1)
Since , OP = 4x - 5 , NP = 3x + 4 , and NO = 2x - 3
Substitute these values in (1), we get
[tex]3x + 4 = 2x - 3 + 4x - 5[/tex]
[tex]\Rightarrow\ 3x+4=2x+4x-3-5\\\\\Rightarrow\ 3x+4=6x-8\\\\\Rightarrow\ 6x-3x=8+4\\\\\Rightarrow\ 3x=12\\\\\Rightarrow\ x=\dfrac{3}{12}=4[/tex]
i.e. x= 4
Now, OP = 4(4)-5= 16-5= 11 units
Hence, the numerical length of OP is 11 units.
(n^(4))/(n^(4)) what does that equal?
Answer:
the answer would be 1 happy to help ya :)
Step-by-step explanation:
if f(x) = 5x + 40, what is f(x) when x= -5
All we need to do is substitute and solve:
f(-5) = 5(-5) + 40
f(-5) = -25 + 40
f(-5) = 15
Best of Luck!
Is 65 + -58 positive or negative?
Question 5 of 10
Which of the following functions best describes this graph?
Answer:
A
Step-by-step explanation:
The function that best describes the graph is y = x²-9x+1+20
What is function?A function in math is a rule or expression that defines a relationship between one variable (the input or independent variable) and another variable (the output or dependent variable).
Given that, a graph, we need to find its function,
The parabola is intersecting the x-axis at 4 and 5, therefore, the function in the option having value of equal to 4 and 5 is the function of the graph,
So, the first function is =
y = x²-9x+20
Put y = 0,
x²-9x+20 = 0
Factorizing the equation to get the values of x,
x²-9x+20 = 0
x²-4x-5x+20 = 0
x(x-4)-5(x-4) = 0
(x-5)(x-4) = 0
Therefore,
x = 5, 4
Since, the function is having solutions x = 5 and x = 4, therefore, the graph is of the function y = x²-9x+20.
Hence, the function that best describes the graph is y = x²-9x+1+20
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What is commutative property
Paula used these steps to solve an equation: Step 1: Step 2: Step 3: Step 4: Step 5: Between which two steps did Paula use the division property of equality?
Answer:
Step 4
Step-by-step explanation:
Paula used these steps to solve an equation:
Step 1: -4(7 + 8) - 21 = 25
Step 2: -4r – 32 - 2x = 25
Step 3: -61 – 32 = 25
Step 4: -6x = 57
Step 5: x = -9.5
Between which two steps did Paula use the division property of equality?
Step 1: -4(x + 8) - 2x = 25
Opening the parenthesis
Step 2: -4x – 32 - 2x = 25
Combining x-terms
Step 3: -6x – 32 = 25
Adding 32 to both sides
Step 4: -6x = 57
Dividing both sides by -6
Step 5: x = -9.5
The Division Property of Equality states that: when both sides of an equation are divided by the same nonzero number, both sides remain equal.
The rule applies to step 4 where both sides of the equation is divided by -6(nonzero number) giving us x = -9.5
This means from the equation, x is equal to -9.5 and -9.5 is equal to x
The correct answer is step 4
Answer:it is step 4 and 5 hope this helps
Step-by-step explanation:
Can someone please tell me if this makes sense in English?, is well written and I have used the expressions well? Please I was learning English.
Dear Grievance Manager
I am writing this letter to bring your attention that I am not satisfied with your quality of sending services at "Adornet".
The last month, on 30th July exactly, I bought in a online way in "Adornet" because i live in other country. It was a collectiable necklace, that had an hourglass in its center.
The managers told me that the order should arrive in two weeks, but it arrived in three and a half weeks. I have been a regular client of your business but now I am complety disappointed, becuase when i received the package i notice that it was in bad condition and I found that the hourglass was broken. The way they packed it had been a lot more sloppy than the other times I shopped here.
i called to the shop the same day and I mentioned that they did not pack the necklace with due protection, but the shop assistant refuse to change it or make a refund. She said that it wasn't a store fault.
Please, I have always been satisfied with your services, but this time I think I'm entitled to a refund of my money and I would like to know how I can get it back. I look forward to hearing fron you soon.
Yours truly.
Gaby D.C
Answer:
Well Written
Step-by-step explanation:
Great Job
Find the value of X round to the nearest tenth. I need help.
Answer:
x ≈ 22.1°
Step-by-step explanation:
Using the law of cosines, then
cosC = [tex]\frac{a^2+b^2-c^2}{2bc}[/tex]
with a = 19, b = 14, c = 8 and C = x, thus
cos x = [tex]\frac{19^2+14^2-8^2}{2(19)(14)}[/tex]
= [tex]\frac{361+196-64}{532}[/tex]
= [tex]\frac{493}{532}[/tex], thus
x = [tex]cos^{-1}[/tex] ([tex]\frac{493}{532}[/tex] ) ≈ 22.1° ( to the nearest tenth )