Given:
The equation is:
[tex]30n-C+200=0[/tex]
To find:
The slope intercept form of the given equation.
Solution:
We have,
[tex]30n-C+200=0[/tex]
We need to write the given equation in the form of [tex]C=mn+b[/tex].
Adding C on both sides, we get
[tex]30n-C+200+C=0+C[/tex]
[tex]30n+200=C[/tex]
Interchanging the sides, we get
[tex]C=30n+200[/tex]
This equation is in the form of [tex]C=mn+b[/tex], where m is 30 and b is 200.
Therefore, the slope intercept form of the given equation is [tex]30n-C+200=0[/tex].
help please, 17 points for this question
Answer:
24 and 15
Step-by-step explanation:
Answer:
it is not 17 points for this question it is 9 points.
Categories the graph as linear increasing, linear decreasing, exponential growth, or exponential decay
Answer:
Step-by-step explanation:
This graph is both linear and decreasing, as we move from left to right.
What is the maximum value of the objective function, P, with the given constraints? P=25x+45y 4x+y≤16 x+y≤10 x≥0 y≥0
Answer:
the maximum is 450 and the minimum is 0.
Step-by-step explanation:
We know that:
P(x, y) = 25*x + 45*y
First, is easy to see that as x and y increase, also does the value of P(x, y)
So we just need to find the largest and smallest possible values of these variables. We also can notice that the variable y is being multiplicated by a larger coefficient than x, so we prioritize larger values of y when we can.
We know that:
4x+y ≤ 16
x + y ≤10
x≥0
y≥0
Let's start with the second inequality, let's solve this for y:
y ≤ 10 - x
and from the first one we get:
y ≤ 16 - 4*x
Just to show that maximizing x does not work, let's do it:
from the second one, knowing that the minimum value of y is y = 0
we have that:
0 ≤ 16 - 4*x
Here the maximum value that y can take is x = 1
0 ≤ 16 - 4*1 = 0
So we can have the combination y = 0 and x = 1, when we maximize x (here we can see that we should not maximize x)
in this case we get:
P(1, 0) = 25*1 + 47*0 = 25
let's write again our inequalities:
y ≤ 10 - x
y ≤ 16 - 4*x
If now we take the minimum value of x, x = 0, we get:
y ≤ 10
y ≤ 16
Because the first one is more restrictive, we know that the maximum value that y can take (when x = 0) is y = 10
in this case we get:
P(0, 10) = 25*0 + 45*10 = 450
As expected, here is the actual maximum for the given restrictions.
For the minimum, we just need to take the two lowest possible values of x and y, which are the two given by the equalities on:
x≥0
y≥0
The smallest values are:
x = 0
y = 0
Replacing that in the equation we get:
P(0, 0) = 25*0 + 47*0 = 0
So the maximum is 450 and the minimum is 0. (with the given restrictions)
Lydia bought a car for 20,000. It is expected to depreciate at a rate of 10% per year. What will be the value of the car in 2 years? use y=a(1-r)^t and round to the nearest dollar
Answer:
$16,200
Step-by-step explanation:
y = 20,000(1 - 0.1)^2
y = 20,000(0.9)^2
y = 20,000(0.81)
y = 16,200
$16,200
Solve for x.
3:12 = x:16
64
4
2 1/4
Hi!
i think We can set up a proportion to solve this
\frac{3}{12} \frac{x}{16}
12
3
16
x
Cross multiply
3 x 16 = 48
48/12 = 4
The answer is 4
Hope this helps! :)
a,64.25+35.25+25
b, 58.42+32.8+5.16
c,135+360+65+40
d,463+318+137+22
e,(42.43+43.57+430-360:4
f,(372-19.4+(981:9-13)
g,456:2.18+456:3-102
h,20+21+22+...=29+30
Answer:
I don't really understand but Hope's this helps
Step-by-step explanation:
what is the question
-8x - 18 + 7 + 2x = 5 - 3x - 4 + x
Find x. Don’t forget to combine like terms.
Please help this is due in a few minutes
Answer:
x = -3
Step-by-step explanation:
-8x - 18 + 7 + 2x = 5 - 3x - 4 + x
-8x + 2x + 3x - x = 18 - 7 + 5 -4
-4x = 12
x = -3
The capacity of a CD-ROM is 800 MB (800 x 20 raised to 20 bytes). It stores information along a spiral track. If each byte uses a space of 9 microns, what is the length of the complete track in m? (Hint: 1 micron= 10 Raised to-6m)
Answer:
The length of the complete track= [tex]7.549\times 10^{23} m[/tex]
Step-by-step explanation:
We are given that
Capacity of CD-ROM=800MB=[tex]800\times 20^{20} bytes[/tex]
1 byte=9 microns
[tex]1micron=10^{-6}m[/tex]
We have to find the length of the complete track in m.
We change MB into micron
[tex]800\times 20^{20} bytes=800\times 20^{20}\times 9microns[/tex]
=[tex]7200\times 20^{20} microns[/tex]
Now, we change micron into m
[tex]7200\times 20^{20} microns=7200\times 10^{-6}\times 20^{20} m[/tex]
=[tex]7.549\times 10^{23} m[/tex]
Hence, the length of the complete track= [tex]7.549\times 10^{23} m[/tex]
Which description matches the expression 13 minus StartFraction 5 Over y EndFraction? the difference of thirteen and the product of five and a number the quotient of five and a number minus thirteen the difference of thirteen and the quotient of five and a number the sum of thirteen and the quotient of five and a number
Given:
The expression is:
[tex]13-\dfrac{5}{y}[/tex]
To find:
The description that matches the given expression.
Solution:
We have,
[tex]13-\dfrac{5}{y}[/tex]
Here, [tex]\dfrac{5}{y}[/tex] is describes as the quotient of five and a number and the minus sign describes the difference between 13 and the quotient.
So, the description that matches the given expression is "difference of thirteen and the quotient of five and a number".
Therefore, the correct option is C.
Answer:
the difference of thirteen and the quotient of five and a number
Step-by-step explanation:
Why did the author most likely include information about the Spanish-
American War in the reading?
O A. To show his knowledge of history
B. To set the time frame for his story
O C. To emphasize a dangerous situation
O D. To please readers who had military knowledge
Russell, Sarah, and Terry share money in the ratio 2:5:8. In total they have £120. Work out how much each gets.
Answer:
£16, £40, £64
Step-by-step explanation:
sum the parts of the ratio, 2 + 5 + 8 = 15 parts
Divide the amount by 15 to find the value of one part of the ratio.
£120 ÷ 15 = £8 ← value of i part of ratio , then
2 parts = 2 × £8 = £16 ← amount Russell gets
5 parts = 5 × £8 = £40 ← amount Sarah gets
8 parts = 8 × £8 = £64 ← amount Terry gets
Answer:
$16, $40, $64
Step-by-step explanation:
The ratio is 2:5:8. Altogether, this adds up to 15. So they divided $120 into 15 portions. 120/15=8.
Russel got 2 portions of 8 dollars, Russel got $16
Sarah got 5 portions of 8 dollars, Sara got $40
Terry got 8 portions of 8 dollars, Terry got $64
find the value of discriminant of the equation X square + 10 x - 7 =02
Answer:
136
Step-by-step explanation:
as you know that discriminant of a quadratic equation is
D= b² - 4ac
here, according to the give equation
x² + 10x -7 -2= 0
x²+ 10x -9 = 0
b= 10 , c= -9 and a= 1
by putting all these values in D.
you can get the value of discriminant which is 136.
I got this explained answer from an app called GAUTHMATH. Which is completely dedicated to maths problem. You can check it out too. It's available on Play Store and App Store.
hope this helps.
Can someone help me out with this
Answer:
Step-by-step explanation:
a) 7² + a⁰ = 7*7 + 1 = 49 + 1 = 50
Anything raised to 0 is 1 {Eg: 15⁰ = 1 ,(-k)⁰ = 1}
b) 4³ - 3¹ = 4*4*4 - 3 = 64 - 3 = 61
c) 12x⁶ * 7x⁸ = (12*7)*x⁶⁺⁸ = 84x¹⁴
In exponent multiplication, If x is a rational number and a & b are two integers, then xᵃ * xᵇ = xᵃ⁺ᵇ
d) 49a¹³ ÷ 7a⁸ = (49 ÷ 7) * a¹³⁻⁸ = 7a⁵
In exponent division, If x is a rational number and a & b are two integers, then xᵃ ÷ xᵇ = xᵃ⁻ᵇ
e) (2y³)⁵ = 2⁵*(y³)⁵ = 32y³ˣ⁵ = 32y¹⁵
Find the measure of a single exterior angle of the regular polygon shown below. If necessary, round to the nearest tenth.
Answer:
32.7°
Step-by-step explanation:
Applying,
The measure of single exterior angle(S') = sum of exterior angle(S)/number of sides of the polygon(n)
S' = S/n................... Equation 1
If the sum of the exterior angle of a convex polygon(S) = 360°
From the diagram in the question,
Given: n = 11 sides
Substitute into equation 1
S' = 360/11
S' = 32.7°
The sum of three consecutive even numbers is 24 , find the numbers.
Answer:
three consecutive even integers whose sum is 24 are 6, 8 and 10.
Divide the total by amount of numbers. This will be the middle value:
24/3 = 8
The numbers are consecutive even numbers so use the even number below and above 8, which are 6 and 10.
6 + 8 + 10 = 24
The 3 consecutive even numbers are 6, 8 and 10
Helppppppppppp:)))))))))
Hi there!
We are given the set of ordered pairs below:
[tex] \large \boxed{(3, - 1),(2, - 2),(0,2),(2,1)}[/tex]
1. What is the domain?
Domain is a set of all x-values in one set of ordered pairs. So what are the x-values that I am talking about? In ordered pairs, we define x and y which both have relation to each others which we can write as (x,y). That's right, the domain is set of all x-values from ordered pairs.Therefore, we gather only x-values from (x,y). Hence, the domain is {3,2,0,2}. Whoops! Something is not right. As we learn in Set Theory that we don't write the same or repetitive in a set. Hence, the actual domain is {0,2,3}
2. What is the range?
Because domain is set of all x-values. Then what do you think the range is? That's right! The range is set of all y-values. If you got this right before looking up the underlined words then a handclap for you! So how do we find range? Simple, we just do like finding the domain in the Q1, except we gather the y-values in (x,y) instead and make sure that we don't write same number!Therefore, gather y-values from the ordered pairs. Hence, the range is {-2,-1,1,2}
3. Is the relation a function?
All functions are relations but not all relations are functions. Function is a set of ordered pairs where domain is not repetitive or in a set, there cannot be more than one same value. Consider the following relation: (1,1),(1,2) - Oh, looks like in a set of ordered pairs, there are two same domains which make it only a relation, and not a function. On the other hand, (1,1),(2,2) - Looking good! No same or repetitive domain, making it indeed a function.Consider the domain from Q1 and see if there are two same values of x in a set. Looks like the relation is not a function since there are same x-values which are 2 in a set, making it only a relation. Hence, the relation is not a function.
These are all 3 answers along with an explanation. Let me know if you have any doubts regarding Relations and Functions.
From the Q1's answer, there are two bold texts, please choose the second bold text to answer (the one with underline) and not the first one (the one with same 2's).
Good luck on your assignment, have a nice day!
can somebody help me with these questions please
What is the output of y=23x−4 when the input is 18?
Enter your answer as a number, like this: 42
Answer:
410
Step-by-step explanation:
Inputs are x's
Substitute the 18 where you see the x
y = 23(18) - 4
y= 414 - 4
y = 410
Anyone wanna play Ka Hoot?
Step-by-step explanation:
Education is anyday more important than money. ... But education is knowledge and through knowledge, we can rule over the whole world. Knowledge is a wealth more important than money. Money can buy an object, but not the thought process (knowledge) that went into creating that object.
I'LL MARK BRAINLIEST !!!
Evaluate the expression 4x2+3y for x = 5 and y =6.
Answer:
4(5)^2 + 3(6)
Step-by-step explanation:
200+18= 218
How much shredded newspaper did each person at the table receive?
Answer:
Hsbsbbsysbwisuqiqiqjqjqjqjqjjqjqjqj1 1b1bh2jo
this is the last question plz help
Answer:
Skewed right as the values decrease to the right.
Choose the best graph that represents the linear equation: -2y = x + 6 Graph A On a coordinate plane, a line goes through (negative 6, 0) and (1, negative 3). Graph B On a coordinate plane, a line goes through (0, 3) and (2, 4). Graph C On a coordinate plane, a line goes through (0, 3) and (2, 2). Graph D On a coordinate plane, a line goes through (0, negative 3) and (6, 0). a. Graph A c. Graph C b. Graph B d. Graph D Please select the best answer from the choices provided A B C D
Answer:
A
Just took the test, you're welcome :)
-2y = x + 6 Graph A On a coordinate plane, a line goes through (negative 6, 0), and (1, negative 3) is the right answer
What is a coordinate plane?The coordinate plane is a system of representation and description of points and lines. The vertical (y) and horizontal (x) axes form the coordinate plane. The coordinate plane has four quadrants. The point where these lines connect is called the origin (0,0).
The properties of each of the four quadrants of the coordinate plane are:
Quadrant I: Positive x and positive y.Quadrant II: Negative x and positive y.Quadrant III: Negative x and Negative y.Quadrant IV: Positive x and negative y.Learn more about coordinate plane here:https://brainly.com/question/10737082
#SPJ2
The equation y1=x^2−4x represents Function 1. The graph of Function 1 is shown
Function 2 is represented by the equation y2=x−6. Which values are solutions to y1=y2? Select each correct solution.
x=−6
x=0
x=1
x=2
x=3
x=6
Answer:
x = -1, 6
Step-by-step explanation:
Equation of function 1 is,
y₁ = x² - 4x
Equation of function 2 is,
y₂ = x - 6
If y₁ = y₂
x² - 4x = x - 6
x² - 4x - x + 6 = 0
x² - 5x + 6 = 0
x² - 6x + x + 6 = 0
x(x - 6) + 1(x + 6) = 0
(x + 1)( x - 6) = 0
x = -1, 6
Answer:
x = 2 and x = 3
Step-by-step explanation:
y1 = 2^2 - 4(2)
2 x 2 - 8= -4
y2 = 2 - 6 = -4
y1 = 3^2 - 4(3)
9 - 12 = -3
y2 = 3 - 6 = -3
Find the following probabilities based on the standard normal variable Z. (You may find it useful to reference the z table
answers to 4 decimal places.)
a. P(Z > 1.12)
b. P(Z S-2.35)
c. POSZ s 1.34)
d. P(-0.8 sz s 2.44)
Answer:
Step-by-step explanation:
a. P(Z > 1.12) = 1-N(1.12) = 1-0.8686431=0.1313569
b. P(Z S-2.35) => P(Z <= 2.35) = 0.009386706
(please check interpretation of question b)
c. POSZ s 1.34) => P(0 <= Z <= 1.34) = 0.9098773 - 0.5 = 0.4098773
(please check interpretation of question c)
d. P(-0.8 sz s 2.44) => P(-0.8 <= 2.44) = 0.9926564 - 0.2118554 = 0.780801
(please check interpretation of question d)
The probabilities of the standard normal variable are 0.1313, 0.009386, 0.4098773, and 0.780801.
What is a z-score?The z-score is a numerical measurement used in statistics of the value's relationship to the mean of a group of values, measured in terms of standards from the mean.
The probability of the following standard normal variable will be given by the z-score table.
a. P(z > 1.12) = 1 - P(z = 1.12) = 1 - 0.8686 = 0.1313
b. P(z ≤ -2.35) = P(z < 2.35) = 0.009386
c. P(0 ≤ z ≤ 1.34) = 0.9098773 - 0.5 = 0.4098773
d. P(-0.8 ≤ z s 2.44) = 0.9926564 - 0.2118554 = 0.780801
More about the z-score link is given below.
https://brainly.com/question/13299273
Intermediate Algebra, Please help
Answer:
B
Step-by-step explanation:
Other answers look like utter bs
What are the measure of ∠1 and ∠ 2 ? Show your work or explain
Answer:
I need the picture.
Instructions: Find the slope of the line through the points (-15, 14) and (13, 6). Make sure to simplify
fractions and enter your answers with a foward slash (i.e."/"). If the slope is undefined enter "undefined."
Slope =
Answer:
= -2/7
Step-by-step explanation:
We can use the slope formula
m = (y2-y1)/(x2-x1)
= ( 6-14)/(13 - -15)
= (6-14)/(13+15)
= -8/28
= -2/7
What is the equation of the line that passes through (1, 2) and is parallel to the line whose equation is 4x + y +1 = 0?
4x-y-6 = 0
4x + y-6= 0
O4x+y+6=0
Farida bought 20 stamps consisting of 20 sen stamps and 60 sen stamps. The total cost of the stamps is RM8.80. How many 20 sej stamps did Farida buy?
Answer:
# of 20cent stamps = 8
Step-by-step explanation:
Let the number 20cent stamps be = x
Let the number 60 cents stamps be = y
Total number of stamps => 20 = x + y ----------- ( 1 )
Total cost of the stamps = 8.80
That is, 0.20x + 0.60y = 8.80 ------------- ( 2 )
( 2 ) => 20x + 60y = 880
=> x + 3y = 44
=> x = 44 - 3y
Substitute x in ( 1 ) => x + y = 20
44 - 3y + y = 20
- 2y = 20 - 44
- 2y = - 24
2y = 24
y = 12
Substitute y = 12 in ( 1 ) => x + y = 20
x + 12 = 20
x = 8