Answer:
2000 profit
Step-by-step explanation:
15000 - 13000 is 200 I may be wrong I didn't understand the question
Find the roots of the equation below.
x2 - 6x + 12 = 0
-3 ± √3
3 ± √3
-3 ± i√3
3 ± i√3
Answer:
[tex]\displaystyle x = 3 \pm i\sqrt{3}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to RightAlgebra I
FactoringStandard Form: ax² + bx + c = 0Quadratic Formula: [tex]\displaystyle x=\frac{-b \pm \sqrt{b^2-4ac}}{2a}[/tex]Algebra II
Imaginary Numbers: √-1 = iStep-by-step explanation:
Step 1: Define
x² - 6x + 12 = 0
Step 2: Identify Variables
Compare the quadratic to standard form.
x² - 6x + 12 = 0 ↔ ax² + bx + c = 0
a = 1, b = -6, c = 12
Step 3: Find Roots
Substitute in variables [Quadratic Formula]: [tex]\displaystyle x=\frac{-(-6)\pm\sqrt{(-6)^2-4(1)(12)}}{2(1)}[/tex][Quadratic Formula] Simplify: [tex]\displaystyle x=\frac{6\pm\sqrt{(-6)^2-4(1)(12)}}{2(1)}[/tex][Quadratic Formula] [√Radical] Evaluate exponents: [tex]\displaystyle x=\frac{6\pm\sqrt{36-4(1)(12)}}{2(1)}[/tex][Quadratic Formula] [√Radical] Multiply: [tex]\displaystyle x=\frac{6\pm\sqrt{36-48}}{2(1)}[/tex][Quadratic Formula] [√Radical] Subtract: [tex]\displaystyle x=\frac{6\pm\sqrt{-12}}{2(1)}[/tex][Quadratic Formula] [√Radical] Factor: [tex]\displaystyle x=\frac{6\pm \sqrt{-1} \cdot \sqrt{12}}{2(1)}[/tex][Quadratic Formula] [√Radicals] Simplify: [tex]\displaystyle x=\frac{6 \pm 2i\sqrt{3}}{2(1)}[/tex][Quadratic Formula] [Fraction - Denominator] Multiply: [tex]\displaystyle x=\frac{6 \pm 2i\sqrt{3}}{2}[/tex][Quadratic Formula] [Fraction - Numerator] Factor: [tex]\displaystyle x=\frac{2(3 \pm i\sqrt{3})}{2}[/tex][Quadratic Formula] [Fraction] Divide: [tex]\displaystyle x = 3 \pm i\sqrt{3}[/tex]6.
Suppose that a new class is opened for enrollment and currently
has 7 students. Is this class an outlier if it is added to the data set?
Answer:
no
Step-by-step explanation:
Answer:
no
Step-by-step explanation:
how to rewrite 6(38) using the distributive property?
cat este ¾-⅝?? caci eu nu stiu
Answer:
1/8 hope this help :)
Answer:
1/8 or 0.125
Step-by-step explanation: Key || · equals multiplication
3/4 - 5/8 = 3 · 2/4 · 2 - 5/8 = 6/8 - 5/8 = 6 - 5/8 = 1/8
hlep plees
hi i need to do a test for mi 1 grad clas
what 2-2=
3-1=
and for my hom work
what is
56-210=
300x 285
please help
Answer:
0, 2, 154, 85,500
Step-by-step explanation:
these are the anwsers to your question
Tell whether the ordered pair is a solution to the system of linear equations. 1 point
(-2,-1); 2x – 4y= -8
6x + 5y = -7
Yes
No
Maybe
Tell whether the ordered nair is a solution to the
Answer:
Tell whether the ordered pair is a solution to the system of linear equations. 1 point
(-2,-1); 2x – 4y= -8
6x + 5y = -7
No
Can someone help me please?
Given:
A line segment AB.
A point is [tex]\dfrac{3}{10}[/tex] of the way from A to B.
To find:
The coordinates of that point.
Solution:
Section formula: If a point divide a line segment in m:n, then
[tex]Point=\left(\dfrac{mx_2+nx_1}{m+n},\dfrac{my_2+ny_1}{m+n}\right)[/tex]
From the given figure, it is clear that the two end points of the line segment are A(-4,-5) and B(12,4).
Let the unknown point be P. The point is [tex]\dfrac{3}{10}[/tex] of the way from A to B. It means,
[tex]\dfrac{AP}{AB}=\dfrac{3}{10}[/tex]
Let AP and AB are 3x and 10x, then
[tex]\dfrac{AP}{PB}=\dfrac{AP}{AB-AP}[/tex]
[tex]\dfrac{AP}{PB}=\dfrac{3x}{10x-3x}[/tex]
[tex]\dfrac{AP}{PB}=\dfrac{3x}{7x}[/tex]
[tex]\dfrac{AP}{PB}=\dfrac{3}{7}[/tex]
It means, point P divided the line segment in 3:7.
Using section formula, we get
[tex]P=\left(\dfrac{3(12)+7(-4)}{3+7},\dfrac{3(4)+7(-5)}{3+7}\right)[/tex]
[tex]P=\left(\dfrac{36-28}{10},\dfrac{12-35}{10}\right)[/tex]
[tex]P=\left(\dfrac{8}{10},\dfrac{-23}{10}\right)[/tex]
[tex]P=\left(0.8,-2.3\right)[/tex]
Therefore, the coordinates of the required point are (0.8, -2.3).
Which set of numbers is arranged in decreasing order?
A. 6.82. 26v375
B. 27.55.6.82, 137
C. 6.82.27.55.37
D. 27. 6.82, 137.55
Answer:
6.82.26v375 is the descreasing order
Answer:
it is c, 6.82 2pi 55/9 sq37
Step-by-step explanation:
A boy runs a distance of 200km in 25seconds. What is his average speed
Answer:
8 km average speed
Step-by-step explanation:
Answer:
His average speed is 28,800 km per hour.
Step-by-step explanation:
He runs 480 km per minute. Then I multiply 480 by 60 to get 28,800 km.
:))
Find the value of x and the measure of the angle labeled 3x”.
Answer:
D is the correct one
Step-by-step explanation:
The whole angle equals 72 and the partial angle equals 45
You put
72-45= 27
So 3x=27
Then you solve this equation
3x = 27
x = 27/3
x = 9
Step-by-step explanation:
Answer:
x = 10, 3x = 30
Step-by-step explanation:
3x equals thirty, they are the exact same angles
According to the National Center for Education Statistics, there were 13.2 million undergraduate students enrolled in degree-granting postsecondary institutions in Fall 2000. In Fall 2014, the enrollment was 17.3 million students. Assuming this relationship grows linearly, write a linear function that models the undergraduate enrollment in postsecondary institutions
x years after 2000
Answer:
13.2 + 0.292X = Y
Step-by-step explanation:
Given that, according to the National Center for Education Statistics, there were 13.2 million undergraduate students enrolled in degree-granting postsecondary institutions in Fall 2000, while in Fall 2014, the enrollment was 17.3 million students, assuming this relationship grows linearly, a linear function that models the undergraduate enrollment in postsecondary institutions X years after 2000 would be carried out as follows:
2014-2000 = 14
17.3 - 13.2 = 4.1
4.1 / 14 = 0.292
Thus, each year 292,000 new students are enrolled in postsecondary institutions. Therefore, the function that determines what is requested would be the following:
13.2 + 0.292X = Y
Which variable is most important to the following problem? After two hours, Kaylee measured the temperature of a mixture to be 62.7°F. She noticed it was 3:47 p.m. At 4:58 p.m., the temperature reached its peak at 89.4°F. How much did the temperature of the mixture increase between 3:47 and 4:58?
7 - 14 - (-7) = 7 + (-14) +
Answer:
7 + (-14) + (7)
Step-by-step explanation:
7 - 14 - (-7) =
Subtracting is like adding a negative and subtracting a negative is like adding a postive
7 + (-14) + (7)
5 2/4- 3 3/4?
Plz help me with this question
Answer: The answer you're looking for is 1.75.
Hope this helps
Answer: =1 3/4
Step-by-step explanation: hope this help
heloooo
(-24) + (-25) =
la respuesta es (-24)+(-25)-49
Answer:
- 49
Step-by-step explanation:
= -24-25(because - and + becomes -)
= -49
It takes Steven 12.25 minutes to run 1.4 miles. At this rate. how long will it take him to run 2.6 miles?
The speed is the distance covered by an object at a particular time. The time it will take for Steven to cover a distance of 2.6 miles is 22.75 minutes.
What is speed?The speed is the distance covered by an object at a particular time. Therefore, it is the ratio of distance and time.
Speed = Distance / Time
Given that it takes Steven 12.25 minutes to run 1.4 miles. Therefore, the rate or speed at which Steven runs is,
Speed = Distance / Time
Speed of Steve = 1.4 miles / 12.25 minutes
Now, if at the same rate Steven runs, then the time it will take for Steven to run a distance of 2.6 miles is,
Speed = Distance / Time
Time = Distance / Speed
Time = 2.6 miles / (1.4 miles / 12.25 minutes)
Time = (2.6 miles × 12.25 minutes)/1.4 miles
Time = 22.75 minutes
Hence, the time it will take for Steven to cover a distance of 2.6 miles is 22.75 minutes.
Learn more about Speed here:
https://brainly.com/question/15100898
#SPJ2
-2x-3y=-7
y=6x-11
If someone answers this and shows work I will give Brainlyest
Answer:
x = 2
y = 1
Step-by-step explanation:
-2x-3y=-7, y=6x-11
-2x - 3(6x - 11) = -7
-2x - 18x + 33 = -7
-2x - 18x = -40
-20x = -40
x = 2
y = 6(2) - 11
y = 12 - 11
y = 1
Answer:
x = 2, y = 1
Step-by-step explanation:
We have a system of equations:
-2x - 3y = -7
y = 6x - 11
Substitute the given value of y into the equation -2x - 3y = -7
-2x - 3 * (6x - 11) = -7
-20x = -7 - 33
-20x = - 40
x = 2
Substitute the given value of x into the equation y = 6x - 11
y = 6x - 11
y = 6 * 2 - 11
y = 1
5) Find the area of the composite figure.
15
9 in
I ㅗ
20
3
A
then find the
Answer:
HOPE IT HELPS THANK ME LATER.
Which value of x makes the two matrices inverses of each other?
5
2
1
-2
2
1
5
-2
-1
2
Answer:
A: -2
Step-by-step explanation:
TOOK THE TEST
find the lenght of ab
Answer:
20.6 cm (im pretty sure lol)
Step-by-step explanation:
sine rule:
(ab = x)
13.5/sin41 = x/sin90
13.5sin90/sin41 = x
x = 20.57741667
ab = 20.6cm
The Valley Middle School library just added 250 books to the shelves. Of those books, 40% are fiction. How many of the new books are fiction?
Answer:
100
20 = 50
50 x2
Step-by-step explanation:
Answer:
100
Step-by-step explanation:
250 books × 40%
= 100
other way to solve it is
250 × 0.40
= 100 fiction books
Adigital option is one in which the payoff depends in a discontinuous way on the asset price. The simplest example is the cash-or-nothing option, in which the payoff to the holder at maturity T is X1{ST>K} where X is some prespecified cash sum. Suppose that an asset price evolves according to the binomial model in which, at each step, the asset price moves from its current value Sn to one of Snu and Snd. As usual, if T denotes the length of each time step, d < erT < u. Find the time zero price of the above option. You may leave your answer as a sum.
Answer:
[tex]V_{0} = e^{-rt}[/tex] ∑ [tex]uPdx^{(1-p)} *S_{o}[/tex]
Step-by-step explanation:
The Payoff to the holder at maturity T = X1{ST > K}, where X = pre-specified cash sum.
Current value of asset price = Sn after evolvement of asset price in reference to binomial model
Hence at every step value changes to SnU and Snd
where ; d < e^rΔT < u and Δ T = length of each step
u = ups
d = downs
Determine the time zero price of the above option
First we will find the price after each period
After one period :
when the price goes up, Sn + ΔT = Su
when the price goes down, Sn + ΔT = Sd
After period two
For Su
when price goes up, Sn +2ΔT = Su2
when price goes down, Sn +2ΔT = Sud
For Sd
when price goes down, Sn +2ΔT = Sd2
when price goes up, Sn +2ΔT = Sdu
To get the time zero price we will have to apply the same procedure in reverse position den get the sum pf all ups and downs which is
sum of all ups and downs = [tex]e^{-rT}[/tex]∑ [tex]uPd^{(1-p)}[/tex]
[tex]V_{0} = e^{-rt}[/tex] ∑ [tex]uPdx^{(1-p)} *S_{o}[/tex]
4. Look at the first example (a).
Now write the other numbers in expanded notation.
a. 654 = 600 + 50 + 4
b. 203 =
C. 2015 =
d. 8 002 =
e. 7 605 =
5. Cuando abrió sus puertas, una tienda de café ofrecía 6 tipos diferentes de
bocadillos. Desde entonces, agregó dos nuevos bocadillos cada semana.
Si la tienda ofrece ahora 28 bocadillos diferentes, ¿cuántas semanas (s) han
transcurrido desde su inauguración?
?
Answer:
11 weeks have passed.
Step-by-step explanation:
We can create a linear function that represents the number of bocadillos offered as a function of the number of weeks (s) that went by since the beginning (when the number of bocadillos was 6):
f(s) = 6 + 2 * s
Since now the number of bocadillos is 28, we can solve for s in the equation
28 = 6 + 2 * s
subtract 6 from both sides
28 - 6 = 2 * s
22 = 2 * s
divide both sides by 2
11 = s
Therefore, 11 weeks have passed.
If a cable repairman is supposed to show up to for a repair between 1:00pm and 6:00pm and the home owner can’t be homeuntil 3:00pm, what is the probability that the home owner will be home when the cable repair man shows up (assuming the repairman is equally likely to come at any time during the specified range)?
A) 60%
B) 65%
C) 70%
D) 75%
Answer:
60%
Step-by-step explanation:
3/5 likely, because there are five hours when the repairman could show up.
Three of them will have the homeowner, and 2 would not. 3/5=0.6=60%
Answer:
for da other guy to get brainliest
Step-by-step explanation:
PLEASE HELP! URGENT
50°
Step-by-step explanation:
notice the lines. from that you can tell that 3y+4=5y-10. with calculation, you get y=7. substitute y=7 and you get 50°
What is the volume of a pyramid container if the area of its base is 100 square inches and its height is 5 inches
Answer:
V≈166.67
Step-by-step explanation:
V=ABh
3=100·5
3≈166.66667
Answer:
166 2/3
Step-by-step explanation:
The formula to solve for the volume of a pyramid is lwh/3. Plug those numbers in and you'll get 10*10*5=500/3 = 166 2/3.
For what value does (1/9)^a+1=81^a+1 12^2-a?
Answer:
a = -4
Step-by-step explanation:
[tex] (\dfrac{1}{9})^{a + 1} = 81^{a + 1} \cdot 27^{2 - a} [/tex]
[tex] (3^{-2})^{a + 1} = (3^4)^{a + 1} \cdot (3^3)^{2 - a} [/tex]
[tex] 3^{-2a - 2} = 3^{4a + 4} \cdot 3^{6 - 3a} [/tex]
[tex] 3^{-2a - 2} = 3^{4a + 4 + 6 - 3a} [/tex]
[tex] 3^{-2a - 2} = 3^{a + 10} [/tex]
[tex] -2a - 2 = a + 10 [/tex]
[tex] -3a = 12 [/tex]
[tex] a = -4 [/tex]
Consider the linear function y = 5x + 12 and the linear function represented by the table of values below.
Answer:
(a) and (f)
Step-by-step explanation:
Given
[tex]y = 5x + 12[/tex]
See attachment for table and options
First, we calculate the slope of the table
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
Using:
[tex](x_1,y_1) = (2,29)[/tex]
[tex](x_1,y_1) = (4,53)\\[/tex]
So, we have:
[tex]m = \frac{53- 29}{4 - 2}[/tex]
[tex]m = \frac{24}{2}[/tex]
[tex]m = 12[/tex]
The equation is then calculated using:
[tex]y = m(x -x_1) + y_1[/tex]
This gives:
[tex]y = 12*(x -2) + 29[/tex]
[tex]y = 12x -24 + 29[/tex]
[tex]y = 12x+5[/tex]
So, we have:
[tex]y = 5x + 12[/tex] --- The given equation
and
[tex]y = 12x+5[/tex] --- The equation of the table
An equation is represented as:
[tex]y = mx + b[/tex]
Where:
m = slope or rate of change
b = y intercept
So, for the given equation: [tex]y = 5x + 12[/tex]
Rate of change = 5
y intercept = 12
For the table: [tex]y = 12x+5[/tex]
Rate of change = 12
y intercept = 5
In conclusion:
(a) [tex]y = 12x+5[/tex] has the greater rate of change:
and
(f) [tex]y = 5x + 12[/tex] has the greater y intercept
I need help pls how do u do this step by step? ):