Answer:
Step-by-step explanation:
(2005, 12,000) (2005, 12,000)
x1 y1 x2 y2
m= (12,250-1200) / (2010-2005) = 250/5 = 50/1 = or 50
What is an interval scale and what is it used for?
I think you can google that really easily.
A pair of shoes are on sale for 5/12 of the original price if the original price was $120 what is the sale price
$50
the sale price is [tex]\frac{5}{12}[/tex] × $120
[tex]\frac{5(120)}{12}[/tex] = $50
Answer:50
Step-by-step explanation:
you would do number of devisions (denominator of fraction) divided by the number of the original price then multiply it by the numer of the devision (numerator of fraction)
120/12=10*5=50
Lannie ordered 12 copies of the same book for his book club members. The books cost $19 each, and the order has $15 shipping charge. What is the total cost of lannies order?
Pathway a is 9 075 steps and you must divide this number by 8 to find the total km.
A painter is hired to paint the interior walls of a large warehouse. The function f(x)=20,000−40x models the area in square feet that remain to be painted, where x represents the number of minutes the painter has worked from the 100-minute mark through the 200-minute mark of the project.
What is the practical range of the function?
A) all integers
B) all real numbers between 100 and 200 inclusive
C) all real numbers between 12,000 and 16,000 inclusive
D) integers from 100 to 200 inclusive
Insert x = 100 and x = 200 in the function
f(100) = 20,000 - 40*100
= 20,000 - 4000
= 16,000
f(2)) = 20,000 - 8,000 = 12,000
So its choice C , All reals between 12,000 and 16,000 inclusive.
Answer:
Option C.
Step-by-step explanation:
The given function is
[tex]f(x)=20000-40x[/tex]
where x represents the number of minutes the painter has worked from the 100-minute mark through the 200-minute mark of the project.
We need to find the practical range of the function.
The value of x lies from 100 to 200.
At x=100,
[tex]f(100)=20000-40(100)=20000-4000=16000[/tex]
At x=200,
[tex]f(200)=20000-40(200)=20000-8000=12000[/tex]
It means the practical range of the function is all real numbers between 12,000 and 16,000 inclusive.
Hence, the correct option is C.
Which ordered pair is a solution to this equation?
-2x + 6y = 24
(5, -3)
(-9, 1)
(-3, 5)
(8, 2)
Can someone help me with questions 14,18,16??
Answer:
13 all three angles =60 in total they equal 180
14) I believe x = 32.5 Am not sure though.
Step-by-step explanation:
That is the only question i can answer but to help you with this all triangles big or small the total of all the angles combined = 180
Factor the expression completely over the complex numbers.
x^3-4x^2+4x-16
First you must know that is i∧2= -1
x∧3-4x∧2+4x-16 = x∧2 (x-4) + 4 (x-4) = (x-4) (x∧2+4) = (x-4) (x∧2-(-4)) =
= (x-4) (x∧2-(-1) *4) = (x-4) (x∧2- i∧2*2∧2) = (x-4) (x∧2-(2i)∧2) = (x-4) (x-2i) (x+2i)
Good luck!!!
The formula for the volume of a cube is v(s)= s^3 where s is the side length of the cube. What is the domain and range of this function?
Answer: D
s > 0, V(s) > 0
Step-by-step explanation: edge
WILL GIVE FIRST ANSWER THE BRAINLIEST!!!!!!!!!!!!! PICTURE BELOW
Solve the system of equations below by graphing both equations with a pencil and paper. What is the solution?
A. (4, 5)
B. (2, 3)
C. (–2, 1)
D. (–4, –3)
For this one, plug in your x and y intercepts for the corresponding letters and see which one is true. I always start with the first equation and then see which ones solve it first, that will cut your time down on a test.
Lets start with A. (4,5)
and the first equation y=x+1
5=4+1, which is true so A is a potential answer
B. (2,3)
3=2+1, B is a potential as well
C. (-2,1)
1=-2+1, which is false so C is out
D. (-4,-3)
-3=-4+1, which is true.
To cut down on time, do the same thing with the second equation and your final answer will be A. (4,5)
757 divided by 68, the reamander, what is it?
please help me with this problem. image attached.
Answer is BF...hope this helps
find the factorization of the polynomial below. 100x^2-20x+1
A. (10x+1)^2
B. (10-1)^2
C. (50x+1)^2
D. (50x-1)^2
ANSWER
The factorization of [tex]100x^2-20x+1[/tex]
is [tex](10x-1)^2[/tex].
EXPLANATION
We want to factor [tex]100x^2-20x+1[/tex]
Comparing this to [tex]ax^2+bx+c[/tex]
[tex]a=100,b=-20,c=1[/tex]
[tex]ac=100[/tex]
We look for factors of 100 that add up to [tex]-20[/tex].
These factors are [tex]-10,-10[/tex]
We now split the middle term to obtain;
[tex]100x^2-10x-10x+1[/tex]
We factor to obtain;
[tex]10x(10x-1)-1(10x-1)[/tex]
This simplifies to [tex](10x-1)(10x-1)=(10x-1)^2[/tex]
Answer:B
Step-by-step explanation:
What values are not in the domain of (-5+2x^2)/7-8x ?
[tex]\frac{-5 + 2x^{2}}{7 - 8x}[/tex]
The denominator cannot equal zero.
7 - 8x ≠ 0
7 ≠ 8x
[tex]\frac{7}{8} \neq \frac{8x}{8}[/tex]
[tex]\frac{7}{8} \neq x[/tex]
Answer: [tex]\frac{7}{8}[/tex] is not in the domain
What is 3/5 of $40 restaurant bill equals $
What is 3/5 of $40 restaurant bill equals $
the answer is $24
Which symbol makes the statement true? Write >,<, or =. -3/4 -11/12
IVE BEEN TRYING TO GET THIS FIGURED OUT SINCE 1:00AM MY EYES ARE RED IVE GOTTEN 0 SLEEP, AND I JUST NEEEEEED HELLLLPPPPP 10 PTS
(I know the answers to some of these, but I really just need help showing my work!)
The Great Wall of China is the only human-built structure that can be seen from the space shuttle. When completed, the wall was over 19,536,000 feet long. How long is the great wall in kilometers?
A. How many miles long is the Great Wall?
How many feet are in a mile? 5280 feet = 1 mile
Show your work to find 19,536,000 = _____________ miles
B. Suppose 1 mile = 1.6034 kilometers. How many kilometers long is the Great Wall? Show your work.
21,196.8 km
C. How many meters? Show your work.
21.19618 million meters
1. The Great Wall of China is 13,170.696
2.how many feet are in a mile= 5,280= 1 mile
3. 19,536,000=3700 miles
what is the vertex of the graph of the function below? y=x^2+6x+5
y = x² + 6x + 5
Use the formula: -b/2a
a = 1
b = 6
- 6 / 2
= -3
The x-coordinate of the vertex is -3
Plug the x value back into the original equation to find the y-coordinate of the vertex
y = (-3)² + 6(-3) + 5
y = -4
18,000 ÷ 60
= 18,000 ÷ 10
÷ 6
=___÷ 6
Answer:
1800 ÷ 6
Step-by-step explanation:
18,000 ÷ 60 is the same as;
18,000 ÷ 10 ÷ 6 and is the same as;
1,800 ÷ 6
Find the asymptotes of the function. Select all that apply.
An asymptote is a vertical horizontal or oblique line to which the graph of a function progressively approaches without ever touching it.
To answer this question we observe the graph. All the values of x and y must be identified for which the graph of the function tends to infinity.
It is observed that these values are:
x = -1
x = 3
y = 0
The first two corresponds to the equations of a vertical line. The third corresponds to horizontal line, the axis of x. It can be seen that although the graph of the function is very close to these values, it never "touches" them
The asymptotes to the considered function are given as:
Option 1: [tex]x= -1[/tex] (vertical asymptote)Option 3: [tex]x= 3[/tex] (vertical asymptote)Option 5: [tex]y =0[/tex] (horizontal asymptote)When do we get vertical asymptote for a function?Suppose that we have the function f(x) such that it is continuous for all input values < a or > a and have got the values of f(x) going to infinity or -ve infinity (from either side of [tex]x = a[/tex]) as x goes near a , and being not defined at [tex]x = a[/tex], then at that point, there can be constructed a vertical line [tex]x = a[/tex] and it will be called as vertical asymptote for f(x) at [tex]x = a[/tex]
When do we get horizontal asymptote for a function?The line [tex]y = a[/tex] is horizontal asymptote if the function f(x) tends to 'a' from upside of that line y = a, or from downside of that line.
For the given case, the line y = 0 is one of its horizontal asymptote.
If we make two straight lines at x = -1, and x = 3, we get two lines to which the graph of the function is going arbitrarily close, and going to +ve or -ve infinity.
Thus, they are its vertical asymptotes.
Therefore, the asymptotes to the considered function are given as:
Option 1: [tex]x= -1[/tex] (vertical asymptote)Option 3: [tex]x= 3[/tex] (vertical asymptote)Option 5: [tex]y =0[/tex] (horizontal asymptote)Learn more about asymptotes here:
https://brainly.com/question/7327714
Tanya walked for 17 minutes from her home to a friend that lives 1.5 kilometers away. D(t) models Tanyas remaining distance to walk in kilometers, T minutes since she left home. what number type is more appropriate for the domain of d
Answer:
Real numbers
0≤ t ≤17
Step-by-step explanation:
Khan academy said
The domain of d in the given problem is time (T) in minutes since Tanya left home and is the set of all real numbers greater than or equal to 17.
Explanation:The domain of d in the given problem is time (T) in minutes since Tanya left home.
Since Tanya walked for 17 minutes, the domain of d is the set of all real numbers greater than or equal to 17.
What is the solution to this equation 2x-x+9+3x-2=16
Answer:
9/4
Step-by-step explanation:
a pex
Find the perimeter of the polygon with the vertices q(−3, 2), r(1, 2), s(1,−2), and t(−3,−2).
The solution is in the attached picture.
*******************The perimeter of a shape is the sum of all visible side lengths of the shape. The perimeter of polygon qrst is 16 units.
Given that:
[tex]q = (-3,2)[/tex]
[tex]r = (1,2)[/tex]
[tex]s = (1,-2)[/tex]
[tex]t = (-3,-2)[/tex]
First, we calculate the distance between the vertices using distance formula:
[tex]d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}[/tex]
So, we have:
[tex]qr = \sqrt{(-3- 1)^2 + (2 - 2)^2} = \sqrt{16} = 4[/tex]
[tex]rs = \sqrt{(1- 1)^2 + (2 - -2)^2} = \sqrt{16} = 4[/tex]
[tex]st = \sqrt{(1--3)^2 + (-2 - -2)^2} = \sqrt{16} = 4[/tex]
[tex]tq = \sqrt{(-3--3)^2 + (-2 -2)^2} = \sqrt{16} = 4[/tex]
The perimeter (P) is the sum of all sides:
[tex]P = qr + rs + st + tq[/tex]
[tex]P = 4 + 4 + 4 + 4[/tex]
[tex]P = 16[/tex]
Hence, the perimeter is 16 units.
Read more about perimeters at:
https://brainly.com/question/6465134
Consider that (x, y) is a solution to the system of equations. What is the product of x and y? 2x − 5y = 10 4x + 3y = 7 A) − 5 2 B) −1 C) − 2 5 D) 1
Solving the system, we find [tex]\(x = 2.5\) and \(y = -1\)[/tex]. The product of [tex]\(x\) and \(y\) is \(-2.5\)[/tex]. Answer: C) [tex]\(-\frac{2}{5}\).[/tex]
To find the product of [tex]\(x\) and \(y\)[/tex], we need to solve the given system of equations:
2x - 5y = 10
4x + 3y = 7
Let's solve this system using the substitution method:
From the first equation, we can express [tex]\(x\) in terms of \(y\)[/tex]:
[tex]\[2x = 10 + 5y\][/tex]
[tex]\[x = \frac{10 + 5y}{2}\][/tex]
[tex]\[x = 5 + \frac{5}{2}y\][/tex]
Now, substitute this expression for [tex]\(x\)[/tex] into the second equation:
[tex]\[4(5 + \frac{5}{2}y) + 3y = 7\][/tex]
[tex]\[20 + 10y + 3y = 7\][/tex]
[tex]\[13y = -13\][/tex]
[tex]\[y = -1\][/tex]
Now, substitute [tex]\(y = -1\)[/tex] into the expression for \(x\):
[tex]\[x = 5 + \frac{5}{2}(-1)\][/tex]
[tex]\[x = 5 - \frac{5}{2}\][/tex]
[tex]\[x = 5 - 2.5\][/tex]
[tex]\[x = 2.5\][/tex]
Finally, find the product [tex]\(xy\):[/tex]
[tex]\[xy = 2.5 \times (-1)\][/tex]
[tex]\[xy = -2.5\][/tex]
So, the product of [tex]\(x\) and \(y\) is \(-2.5\)[/tex], which corresponds to option C) [tex]\(-\frac{2}{5}\).[/tex]
The endpoints of a side of rectangle ABCD in the coordinate plane are at A (2, 11) and
B (7, 1). Find the equation of the line that contains the given segment.
The line segment is AD.
What is the Equation?
ANSWER
[tex]2y-x-20=0[/tex]
or
[tex]y=\frac{1}{2}x+10[/tex]
EXPLANATION
Let the rectangle be oriented as shown in the diagram.
The line segment AD passes through [tex]A(2,11)[/tex].
All we need now is the slope of AD then we can find its equation.
Since AD is perpendicular t AB, we determine the slope of AB and then use it to find the slope of AD.
[tex]Slope_{AB}=\frac{1-11}{7-2}[/tex]
[tex]Slope_{AB}=\frac{-10}{5}=-2[/tex]
The slope of AD is the negative reciprocal of the slope of AB because they are perpendicular.
[tex]Slope_{AD}=\frac{-1}{-2}=\frac{1}{2}[/tex]
The equation of AD is given by;
[tex]y-y_1=m(x-x_1)[/tex]
[tex]y-11=\fra[1}{2}(x-2)[/tex]
Multiplying through by 2 gives,
[tex]2y-22=(x-2)[/tex]
[tex]2y-x-22+2=0[/tex]
[tex]2y-x-20=0[/tex]
or
[tex]y=\frac{1}{2}x+10[/tex]
What is the mean of 3.25,3.25,3.66,3.83,4.57,4.52,4.74,4.69,4.44
The temperature at 6 pm was 0f. At 10 pm the temperature was -11.2f. Write an expression that you can use to find the average change in temperature per hour during that time. Then evaluate the expression.
Answer:
Average change in temperature is - 2.8 Fahrenheit per hour.
Step-by-step explanation:
Average change in temperature is the change in temperature divided by the time taken for the change.
Change in temperature = (-11.2) F- 0 F
= -11.2 F
Time taken for the change in temperature = 10 pm - 6 pm
= 4 hours
Average change in temperature = Change in temperature / time taken for the change
= [tex]\frac{-11.2}{4}[/tex]
= - 2.8 Fahrenheit per hour
Final answer:
The average change in temperature per hour from 6 pm to 10 pm is calculated by dividing the total change in temperature by the number of hours. The result is a drop of -2.8°F per hour.
Explanation:
To find the average change in temperature per hour between 6 pm and 10 pm, you can use the following expression:
(Final Temperature - Initial Temperature) / Number of Hours = Average Change per Hour
Applying the given temperatures:
(-11.2°F - 0°F) / (10 pm - 6 pm) = Average Change per Hour
Since 10 pm is 4 hours after 6 pm, the expression simplifies to:
(-11.2°F - 0°F) / 4 hours = Average Change per Hour
Which evaluates to:
(-11.2°F / 4) = -2.8°F per hour
So the temperature dropped on average by -2.8°F each hour between 6 pm and 10 pm.
If d−e = 2d−e , then d is equal to:
d - e = 2d - e add e to both sides
d - e + e = 2d - e + e
d = 2d subtract d from both sides
d - d = 2d - d
0 = d
Answer: d = 0Answer: D = 0
Step-by-step explanation: D in this case would have to equal 0, because filling in "D" with any number, would make the sides unequal. For example, let's say D = 1 and E = 3, the equation would say "1 - 3 = 2 * 1 - 3". Solving the sides, would leave "-2 = -1", which make it a false answer. Now, let's say D = 0 and E = 3, the equation would say "0 - 3 = 2 * 0 - 3". Solving the sides, would leave "-3 = -3", which is true.Thus meaning D has to equal 0.
I hope this helps!
Solve -8.3÷0.25=
-3.31
3.31
-2.075
-33.2
How to find the coordinates of all points on the curve 2x^3 which the tangent line has slope 6?
Answer:
(1,2) (-1,-2)
Step-by-step explanation:
Given the equation of curve as y= 2x³ and slope of tangent line as 6 then
Find dy/dx
[tex]\frac{d}{dx} (y)=\frac{d}{dx}(2x^3)[/tex]
Apply the power rule
[tex]\frac{d}{dx} (x^n)=nx^{n-1}[/tex]
where n=constant
Hence, our equation will be;
[tex]\frac{dy}{dx} =2*3x^{3-1} \\\\\\\frac{dy}{dx} =6x^{2}[/tex]
But you know that dy/dx=slope=6
6x²=6--------------------divide both sides by 6
6x²/6=6/6
x²=1
x=√1=±1
x=1 and -1
Remember y=2x³
Substitute value of x to get value of y
y=2x³
y=2×1³
y=2×1=2
y=2
For x=-1, find y coordinate
y=2×-1³=2×-1=-2
coordinate will be (-1,-2)
Coordinates of the points will be (1,2) ,(-1,-2)