Answer:
In mathematics, a function is a binary relation over two sets that associates to every element of the first set exactly one element of the second set. Typical examples are functions from integers to integers or from the real numbers to real numbers.
Step-by-step explanation:
Perform the following operation:
h(n) = 4n + 5
g(n) = 3n +4
Find (h - g)(n)
Answer:
n+1
Step-by-step explanation:
h(n) = 4n + 5
g(n) = 3n +4
(h - g)(n) = 4n + 5 - (3n +4 )
distribute the minus sign
= 4n +5 - 3n -4
Combine like terms
= 4n -3n +5-4
= n +1
Please help me with this question
Answer:
Either 36.35 or 16.00173
Step-by-step explanation:
the reason im saying its either is due to not remembering whether do divide by inverse cosine to get on other side of equal sign or to just divide the cosine as is.
IF you are supposed to use inverse cosine:
16.00173
IF NOT:
36.35182
Sunglass shack is having a 30% off sale on sunglasses. Ann paid $32 for a pair of sunglasses. What was the original price?
Answer:
about $45.71
Step-by-step explanation
32/70%
32 x 100/70
32 x 10/7
320/7
$45.71
The original price would be $41.6.
Find the arc length of the semicircle
Answer:
Arc length of Semicircle ⇒ 5π
Step-by-step explanation:
See procedure below;
Radius of Semicircle ⇒ 5 units,
Diameter of Semicircle ⇒ 2 * 5 = 10 units,
Now if we were to imagine a complete circle, the length of this arc would be half of the circumference of the complete circle provided it ∈ to a semicircle. Therefore, if we are to calculate the length of the circumference of the complete circle given the diameter to have a length of 10, we can divide this by two to receive the arc length of the semicircle;
Circumference of Complete Circle ⇒ πd ⇒ 10π,
Arc length of Semicircle ⇒ 10π / 2 = 5π;
Answer; Arc length of Semicircle ⇒ 5π
Lesson Check
Choose the correct answer.
5. Greg has 27 toy trucks. He divides them into
3 equal groups. How many toy trucks are in
each group?
Find the measure of the missing angle
Answer:
? = 60
Step-by-step explanation:
The exterior angle is equal to the sum of the opposite interior angles
120 = ? +60
subtract 60 from each side
120-60 = ? +60-60
60 = ?
The average cost c (in dollars) to manufacture x t-shirts is given by the function c=7x+325x. Express the number of t-shirts in terms of the average cost. X=
Answer:
[tex]x=\dfrac{325}{c-7}[/tex]
Step-by-step explanation:
The average cost c (in dollars) to manufacture x t-shirts is given by the function:
[tex]c=\dfrac{7x+325}{x}[/tex]
We are required to express the number of t-shirts in terms of the average cost.
First, we cross multiply
cx=7x+325
Bring the terms containing x to the left hand side
cx-7x=325
Factorize out x
x(c-7)=325
Divide both sides by c-7
[tex]x=\dfrac{325}{c-7}[/tex]
Therefore, the number of t-shirts, x in terms of the average cost, c is:
[tex]x=\dfrac{325}{c-7}[/tex]
Henry and five friends are going to the movies. Tickets cost $8 each. Henry used this model to help him find the total cost of the tickets. Which shows one way to break apart the array to find the product?
Answer:
(7 x 5) + (7 X 3) = 7 X 8 or (7 x 4) + (7 X 4) = 7 X 8
Step-by-step explanation:
I think your question is missed of key information, allow me to add in and hope it will fit the original one.
Please have a look at the attached photo.
My answer:
The total number of people: 7 Ticker costs: $8 each=> the total cost = the total number of people * the ticket cost each
= 7 X 8
Hence, he can use this way to break apart the array to find the product:
(7 x 5) + (7 X 3) = 7 X 8 or (7 x 4) + (7 X 4) = 7 X 8
Hope it will find you well.
. Anna was thinking of a number. She told Bill that if he squared her number followed by subtracting 11 times her, and adding 4, then he would get -26. What number(s) could Anna be thinking of?
Answer:
Anna's number could be 5 and it could be 6.
Step-by-step explanation:
Let Anna's number be represented by x.
If Bill squared her number followed by subtracting 11 times her number, and adding 4, then he would get -26.
This implies that:
[tex]x^2 - 11x + 4 = -26[/tex]
This is a quadratic equation and we can solve for x by factorization.
[tex]x^2 - 11x + 4 = -26\\\\=> x^2 - 11x + 4 + 26 = 0\\\\x^2 - 11x + 30 = 0\\\\x^2 -6x-5x + 30 = 0\\\\x(x - 6) - 5(x - 6) = 0\\\\(x - 5) (x - 6) = 0\\\\[/tex]
=> x = 5 and x = 6
Anna's number could be 5 and it could be 6.
A submarine is 150 below sea level while an airplane is 375 above sea level. What is the difference between the height of the submarine and the airplane?
Answer:
[tex] D= 375 - (-150) m = 375m +150 m= 525 m[/tex]
So then the distance between the submarine and the airplace is 525 m
Step-by-step explanation:
For this case we know that the submarine is 150 m below the sea level and the airplane is 375 m above the sea level and we want to find the difference between the heights and we got:
[tex] D= 375 - (-150) m = 375m +150 m= 525 m[/tex]
So then the distance between the submarine and the airplace is 525 m
Find out six rational numbers lying between -4/8 and -3/4
PLEASE HELP........ REALLY URGENT.... NEED TO SUBMIT NOW.........
ANSWER:
-17/32, -18/32, -19/32, -20/32, -21/32, -22/32
EXPLANATION:
-4/8 and -3/4
-4*4/8*4 and -3*8/4*8
-16/32 and -24/32
There are 8 numbers between -16/32 and -24/32. You can write any six of it.
-2 x (-7) =
24 divided by (-3) =
Answer:
1) 14
2) -8
Step-by-step explanation:
-2 × (-7) = 14
24 ÷ (-3) = -8
Find the area of the shape
(sorry if im asking too many questions)
Answer:
E. 54
Step-by-step explanation:
To find the area just multiply the base times the height. In this problem it would just be 6x9= 54.
Answer:54 cm ^2
Step-by-step explanation:
9 times 6 is 54
Do not do Number 3 or 2!Please help! I need them in complete sentences! I will award Brainliest and answer any questions you have just please help.
Answer:
2) Only solar because u are near the moon lool
3) i think the same
1-4)There is, however, one side of the moon that never faces Earth head-on. The moon completes a full, 360-degree orbit around our planet every 27.32 days . That's about as long as it takes the moon to finish a single rotation on its own axis. Taken together, those two factors explain why only one side of the moon is ever oriented toward us and about 41 percent of the lunar surface is never visible to Earth-bound stargazer.
Eevery lunar day lasts for 29.5 Earth day
which rational number does not have a reciprocal
Answer:
the rational numbers that doesn’t have a reciprocal are [math]0 [/math] (which can also be expressed as [math]\frac {0} {x}, x \neq 0 [/math] ), and any number of the form [math]\frac {x} {0} [/math].
Step-by-step explanation:
The following data points represent the volume
of gas in each race car driver's tank (in liters).
4,5, 13, ?
If the mean of the data set is 7 L, find the
missing volume of gas.
Answer:
The missing volume of gas is 6 liters
Step-by-step explanation:
The following data points represent the volume of gas in each race car driver's tank (in liters):
4,5, 13, ?
Let the missing value be x
Data : 4,5,13,x
[tex]Mean = \frac{\text{Sum of all observations}}{\text{No. of observations}}[/tex]
[tex]7 = \frac{4+5+13+x}{4}[/tex]
[tex]7 \times 4=4+5+13+x[/tex]
28=22+x
28-22=x
6=x
Hence The missing volume of gas is 6 liters
Answer:
6
Step-by-step explanation:
Khan Academy
Find the mean of the numbers below.
5, 10, 15, 20, 1, 2, 2, 1
Answer:
7
Step-by-step explanation:
used a calculator
The area of the quadrilateral below can be found be adding the areas of the distinct figures.
What if the slope of the line ?
Answer:
The slope of the line is 1
Step-by-step explanation:
To figure out the slope, you just have to do rise over one, if the line is going up from left to right then the slope is positive, which is the case shown
What is the population density of LA? Explain your work: Los Angeles: population = 4,000,000; Area= 503 sq. miles
Answer:
The population density is 7592 people per square mile
Step-by-step explanation:
The population density of los Angeles here refers to the number of people present by square miles
Mathematically, to find this population density, what we need to do is to divide the total population that we have by the area of Los angeles
The population here is 4,000,000 while the area is 503 square miles
The population density is thus ;
4,000,000/503 = 7592.29 which is approximately 7592 people per square mile
Smh, what is this. If you answer this, please add a prove it statement. Thank you.
The school that Eduardo goes to is selling tickets to a play. On the first day of ticket sales the school sold 7 senior citizen tickets and student tickets for a foral of . The school took in $190 on the second day by selling 14 senior citizen tickets and 6 student tickets. Find the price of a senior citizen ticket and the price of a student ticket
Answer:
Is there anything else to the question like a equation?
Step-by-step explanation:
Simplify the expression. (2x5)4
2x20
16x20
16x9
2x625
Answer:
16 x^20
Step-by-step explanation:
(2x^5) ^4
We can separate this into
2^4 * x^5^4
We know that a^b^c = a^(b*c)
16 x^(5*4)
16 x^20
Answer:
The answer is b
Step-by-step explanation:
Which number line shows the solutions to n<-3
Answer:
[In Picture]
Step-by-step explanation:
There are no given options.
However, I am able to recreate the best answer for the question given.
There would be arrow going to the left from -3. The arrow will include all numbers less than -3.
Since there is a less than sign, the circle at the beginning of the arrow is open.
Choose the option that closely matches the line shown.
The number line is the representation of numbers in real order.
The difference between the consecutive numbers in a number line is always positive.
The number line of n < - 3 is n less than -3.
The graph of the number line is given below.
What is a number line?It is the representation of numbers in real order.
The difference between the consecutive numbers in a number line is always positive.
We have,
n < - 3
This is read as,
n is less than -3.
The graph of the number line is given below.
Thus,
The number line of n < - 3 is n less than -3.
The graph of the number line is given below.
Learn more about number line here:
https://brainly.com/question/13425491
#SPJ5
2х + 5y = 6
x+2y = -3
what is x?
Answer:
x = -3
In-Depth Steps:
1.) Start with the bottom equation: [tex]x+2y=-3[/tex]
2.) Set [tex]x[/tex] alone on one side of the equal sign. Your equation will look like [tex]3+2y=x[/tex].
3.) Plug [tex]3+2y[/tex] in for [tex]x[/tex] in the first equation. You will get [tex]2(3+2y)+5y=6[/tex].
4.) Distribute. Your equation now looks like this: [tex](6+4y)+5y=6[/tex].
5.) Combine like terms. You will get [tex]6+9y=6[/tex].
6.) Subtract 6 from both sides. You get [tex]9y=0[/tex]. We can learn that Y=0.
7.) Go back to either equation and put 0 in for y.
8.) In the top equation, it would look like [tex]2x=6[/tex] and the bottom equation would look like [tex]x=-3[/tex]. We basically got our answer of [tex]x = -3[/tex], but we will plug it into the [tex]2x=6[/tex] equation, and in-fact, we get x = -3.
The system of linear equations 5x+3y=3 and X+y=-1 is graphed below.
What is the solution to the system of equations?
O (4,3)
O 1-3.4)
Answer:
(3, - 4) is the solution to the system of equations.
Step-by-step explanation:
1. Rewrite one of the equations so it eighter starts with y= or it starts with x=
Here the easy way is to write X+y=-1 in the form x=
X= - y - 1
2. Substitute X= - y - 1 in the other equation 5X+3y=3:
5X+3y=3
X= - y - 1
5(- y - 1)+3y=3
-5y -5 +3y = 3
-2y = 3 +5
2y = -8
y = - 4
3. Now substitute this value y = - 4 in X= - y - 1
X= - (y) - 1
y = - 4
X= - (- 4) - 1
X = 4 - 1
X =3
4. So X =3 and y = - 4 gives this coordinate (3, - 4), which is the solution to the system of equations.
Which set of measurements could be the lengths of the sides of a right
triangle?
А
1, 2, 3
с
5, 12, 13
9, 13, 15
10, 20, 30
D
Answer:
5, 12, 13
Step-by-step explanation:
because if you use the pythagorean theorem, you will get 13 as the hypotenuse if you take the two shorter sides.
in order for the limit of F(X) to exist at x=a, which of the following must hold true
Answer:
A.
Step-by-step explanation:
Given: limit of f(x) exists at x = a
To choose: the correct option
Solution:
A limit is a value that a function approaches as the input approaches some value.
[tex]\lim_{x\rightarrow a}f(x)=L[/tex] means that as x approaches to value a then f(x) approaches to value L.
A limit of a function f(x) exists at x = a if [tex]\lim_{x\rightarrow a^-}f(x)=\lim_{x\rightarrow a^+}f(x)=L[/tex]
So, option A. is correct.
Answer:
A.
I took the quiz and got it correct.
Liz flips a coin 60 times. The coin lands heads up 18 times and tails up 42 times. Complete each
statement.
The theoretical probability of the coin landing heads up is %.
(Type an integer or a decimal.)
Answer:
30%
Step-by-step explanation:
18/60 = .3 × 100% = 30%
4(3x+5)=6(x+8)-x someone please help me with this equation
Answer:
x=4
Step-by-step explanation:
4(3x+5)=6(x+8)-x
Distribute
12x +20 = 6x +48 -x
Combine like terms
12x+20 = 5x+48
Subtract 5x from each side
12x-5x +20 = 5x-5x+48
7x +20 = 48
Subtract 20 from each side
7x+20-20 = 48-20
7x = 28
Divide each side by 7
7x/7 = 28/7
x = 4
