Answer:
4
Step-by-step explanation:
-3.15*4=(-12.60)
hope this helps :3
Answer:
4 :D
Step-by-step explanation:
En la función de la imagen la ecuación de la asíntota vertical es___
The equation for the asymptote of the graphed function is x = 7
How to identify the asymptote?The asymptote is a endlessly tendency to a given value. A vertical one is a tendency to infinity.
Here we can see that there is a vertical asymoptote, notice that in one end the function tends to positive infinity and in the other it tends to negative infinity.
The equation of the line where the asymptote is, is:
x = 7
So that is the answer.
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Write the sample space for the number of boys and the number of girls in a family with exactly three children. Are the outcomes equally likely?A.{3 girls, 2 boys and a girl, 1 boy and 2 girls, 3 girls}; The outcomes are equally likely.B.{3 boys, 2 girls and a boy, 2 boys and a girl, 3 girls}; The outcomes are equally likely.C.{3 boys, 2 boys and a girl, 1 boy and 2 girls, 3 girls}; The outcomes are not equally likely.D.{3 girls, 2 boys and a girl, 1 boy and 2 girls, 3 girls}; The outcomes are not equally likely.
The sample space for the number of boys, and number of girls in a family with exactly three children is
S = {GGG, GGB, GBG, GBB, BGG, BGB, BBG, BBB}
These are
GGG/BBB = three girls / three boys with a probability of 1/8.
GGB, GBG, BGG = two girls, and one boy, with a probability of 3/8
GBB, BGB, BBG = two boys, and one girl with a probability of 3/8
Summarizing, the outcomes are
{3 boys, 2 boys and 1 girl, 1 boy and 2 girls, 3 girls}; The outcomes are not equally likely.
What is the factored form of 49x2 - 56x + 16
(7x-4)2
(7x + 4)(7x-4)
(7x +4)2
O (7x-8)2
Answer:
(7x-4)^2
Step-by-step explanation:
Billy likes to go cycling. His bike has wheels of the diameter 70 cm. He has a counter on his bike which counts the number of revolutions of the wheels make. One day the counter shows 190 revolutions. How far has Billy cycled? Give your answer to the nearest meter.
Answer:
401 meters
Step-by-step explanation:
To change the units without changing the value, we use the Multiplicative Identity (that is, 1).
The formula for the circumference of a circle is: C=Πd
The problem gives d=85 cm, so C=85Π cm. So, (1 revolution)=(85Π cm)
or 1= (85Π cm) / (1 revolution)
Billy traveled:
150 revolutions
(150 revolutions)*1
(150 revolutions) * ( (85Π cm) / (1 revolution) ) [note: revolutions cancel, leaving only cm]
(150)*(85Π) cm
40055.27 cm * ( (1 meter)/(100 cm) )
401 meters (rounded to nearest meter)
(this isnt my work credits to David W.
A rectangle has vertices (a,b), (c,b), and (a,c). Find the fourth vertex.
Answer:
Step-by-step explanation:
Abc
The required coordinate of the fourth vertex is (c, c).
What is coordinate?Coordinate, is represented as the values on the x-axis and y-axis of the graph. while the coordinate x is called abscissa and the coordinate of the y is called ordinate.
here,
A rectangle has vertices (a,b), (c,b), and (a,c)
let the vertex of the first coordinate be [x, y],
Now,
for side a Corrdiante A (a, b) and B (c , b)
Now, coordinate the opposite side C(a, c) and D(x , y)
The coordinates of D must be equal to x coordinate of B and y ordinate of C so,
D(x, y) = D(c, c)
Thus, the required coordinate of the fourth vertex is (c, c).
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Name the decimal and fraction for R on the number line.
Click the icon to view the number lines.
The decimal is 1.
The fraction is
NEED HELP ASAP. GETS BRAINIEST GET A 100 POINTS
Is the Fibonacci sequence arithmetic, geometric, or neither? Explain how you know.
Look at quotients . What do you notice about this sequence of numbers?
The 15th through 19th Fibonacci numbers are 610, 987, 1597, 2584, 4181. What do you notice about the quotients ?
Answer:
there are different kind of sequence number and just multiply the fractions.
Step-by-step explanation:
multiply fractions aND you will get the answer.
The angles shown are supplementary. What is the value of x ?
Answer:
D
Step-by-step explanation:
This is because if u subsitute x with 17, 17x5 is 85 and 85+95= 180
\(\color{plum}\tt\bold{(D) \: 17}\)
○=> Steps to derive correct answer :Given :
▪︎Angle (5x)° and angle 95° are supplementary angles.
Which means :
\( = \tt5x + 95 = 180\)
\( = \tt5x = 180 - 95\)
\( = \tt5x = 85\)
\( \hookrightarrow\tt \color{plum}x = 17\)
Thus, the value of x = 17
Let us check whether or not we have found out the correct value of x by placing 17 in the place of x:
\( =\tt5 \times 17 + 95 = 180\)
\( =\tt 85 + 95 = 180\)
\( =\tt 180 = 180\)
Since the sum of both angles is equivalent to 180[85+95=180], we can conclude that we have found out the correct value of x.
Therefore, the correct option is (D) 17
The lateral surface area of a cube is 400cm². Its total surface area is
_______
a)600cm² b) 2400cm² c) 500cm² d) 650cm²
Answer:
Step-by-step explanation:
Lateral surface area of cube = 4a²
4a² = 400
a² = 400÷4
a² = 100
a = √100 = √10*10
a = 10 cm
Total surface area = 6a²
= 6 * 10²
= 6* 100
= 600 cm²
Answer:
A
Step-by-step explanation:
I believe that I did this before.
l=$45, P=$600, t=2 years What is the annual interest rate?
Answer:
The interest rate required to accumulate simple interest of $ 45.00 from a principal of $600.00 over 2 years is 3.75% per year.
Step-by-step explanation:
Given
l = $45
P = $600
t = 2 years
To determine
What is the annual interest rate = r = ?
Using the Simple Interest Formula
I = Prt
r = I/Pt
substituting l = 45, P = 600 and t = 2 years
r = 45 / ( 600 × 2 )
= 0.0375
converting r decimal to a percentage = 0.0375 * 100 = 3.75% per year
Thus, the interest rate required to accumulate simple interest of $ 45.00 from a principal of $600.00 over 2 years is 3.75% per year.
A submarine is 75 feet below sea level. It descends another 25 feet every 10 seconds for 3 minutes. What integer represents the submarines current location?
The integer represents the submarine's current location is -525 feet
The initial position of submarine = 75 feet below sea level
The descending rate of submarine = 25 feet every 10 second
Total time = 3 minutes
One minute = 60 seconds
3 minutes = 180 seconds
Therefore number of 10 seconds period = 180 / 10
= 18
For each 10 second the submarine descend 25 feet
Total distance that submarine descend = 18 × 25
= 450 feet
The initial position of submarine = -75
Current position = -75 - 450
= -525 feet
Hence, the integer represents the submarine's current location is -525 feet
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Find f(a),f(a+h), and the difference quotient
h
f(a+h)−f(a)
, where h
=0
f(x)=
x+7
x
f(a)=
f(a+h)=
We have `f(a) = (a+7)/a`, `f(a+h) = (a+h+7)/(a+h)`, and the difference quotient is `(h(a+7))/(ah+h^2)`.
Given a function `f(x)` is defined by `f(x) = (x+7)/x`.
We need to find `f(a)`, `f(a+h)`, and the difference quotient `(f(a+h)-f(a))/h` where `h≠0`.
Solution:
`f(x) = (x+7)/x`
At `x=a`, we have
`f(a) = (a+7)/a`.
At `x = a + h`,
we have `
f(a+h) = [(a+h)+7]/(a+h)`.
So,
`f(a+h) = (a+h+7)/(a+h)`.
Now,
`f(a+h)−f(a)` is `[(a+h)+7]/(a+h) − (a+7)/a`.
LCM of `(a+h)` and `a` is `a(a+h)`.
So, we get `f(a+h)−f(a)` as `(a+h)(a+7)−a(a+h+7)/a(a+h)`.
On simplification, we have `f(a+h)−f(a)` as `(ah+7h)/(a(a+h))`.
Now, `(f(a+h)−f(a))/h` is `(ah+7h)/(ah+h^2)`.
On simplification, we have `(f(a+h)−f(a))/h` as `(h(a+7))/(ah+h^2)`.
Hence, `f(a) = (a+7)/a`, `f(a+h) = (a+h+7)/(a+h)`, and the difference quotient is `(h(a+7))/(ah+h^2)`.
Given a function `f(x)` is defined by `f(x) = (x+7)/x`. We have found `f(a)`, `f(a+h)`, and the difference quotient `(f(a+h)-f(a))/h` where `h≠0`. Thus, we have `f(a) = (a+7)/a`, `f(a+h) = (a+h+7)/(a+h)`, and the difference quotient is `(h(a+7))/(ah+h^2)`.
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Find the missing number so that the equation has infinitely many solutions.
– 2x+18=blank x+18
The missing term in the equation is n = -2
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is
Substituting the values in the equation , we get
Let the missing term be represented as n
-2x + 18 = nx + 18
Subtracting 18 on both sides of the equation , we get
-2x = nx
Divide by x on both sides of the equation , we get
n = -2
Therefore , the missing term is n = -2
Hence , the equation is n = -2
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Find an equation of the line perpendicular to the graph of 14x-7y=8 passing through the point at (-2,5)
Answer:
Equation of line perpendicular to given graph is:
\(y = -\frac{1}{2}x+4\)
Step-by-step explanation:
Given equation of line is:
14x-7y=8
First of all, we have to convert the given equation into slope-intercept form to find the slope of the line
The slope-intercept form is:
\(y = mx+b\)
Now
\(14x-7y=8\\14x-8 = 7y\\\frac{7y}{7} = \frac{14x-8}{7}\\y = \frac{14}{7}x - \frac{8}{7}\\y = 2x - \frac{8}{7}\)
The co-efficient of x is 2 so the slope of given line is 2
Let m1 be the slope of line perpendicular to given line
The product of slopes of two perpendicular lines is -1
\(m.m_1 = -1\\2.m_1 = -1\\m_1 = -\frac{1}{2}\)
The equation for line perpendicular line to given line will be:
\(y = m_1x+b\\y = -\frac{1}{2}x+b\)
To find the value of b, putting (-2,5) in the equation
\(5 = -\frac{1}{2}(-2) + b\\5 = 1+b\\b = 5-1\\b = 4\)
The final equation is:
\(y = -\frac{1}{2}x+4\)
Hence,
Equation of line perpendicular to given graph is:
\(y = -\frac{1}{2}x+4\)
whats 1753x87694-463684=
help please
Answer:
65569898
Step-by-step explanation:
1753x87694=66033582
66033582-463684=65569898
what number is the opposite of 55
Answer:
55
The opposite of 55 is −55.
The opposite of the number 55 is given by the equation A = -55
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the number be represented as p
Let the opposite number be represented as A
Now , opposite number = 0 - the original number
So , substituting the values in the equation , we get
The opposite number A = 0 - 55
The opposite number A = -55
Therefore , the value of A is -55
Hence , the opposite number of 55 is -55
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Find the quotient of the quantity negative 4 times a to the negative 1 power times b to the 5th power end quantity divided by the quantity 20 times a to the 2nd power times b to the 4th power end quantity. −5a3b negative one times the quantity 5 times b end quantity divided by a to the third power negative b divided by the quantity 5 times a end quantity negative b divided by the quantity 5 times a to the third power end quantity
To simplify the given expression, let's break it down step by step: Expression 1: \((-4a^(-1)b^5) / (20a^2b^4)\)
Step 1: Simplify the numerical coefficients:
-4 / 20 = -1/5
Step 2: Simplify the variables:
\(a^(-1) / a^2 = 1/a^(2-1) = 1/a\)
\(b^5 / b^4 = b^(5-4) = b^1 = b\)
Combining the simplified numerical coefficients and variables:
\((-1/5)(1/a)(b) = -b/5a\)
Expression 2:\((-5a^3b^(-1))(5b) / (a^3b) / (5ab) / (a^3b)\)
Step 1: Simplify the numerical coefficients:
-5 * 5 = -25
Step 2: Simplify the variables:
a^3 / a^3 = 1 (when the exponents are the same)
\(b^(-1) / b = 1/b^(1+1) = 1/b^2\)
\(a / a^3 = 1/a^(3-1) = 1/a^2\)
b / b = 1
Combining the simplified numerical coefficients and variables:
\((-25)(1)(1/b^2)(1/a^2) = -25/(a^2b^2)\)
Therefore, the quotient of the given expression is:
\((-b/5a) / (-25/(a^2b^2)) = (-b/5a) * (a^2b^2/-25) = (ab^3)/(5a) = b^3/(5a)\)
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PLEASE HELP I'LL GIVE A BRAINLIEST PLEASE 30 POINTS!!! PLEASE I NEED A STEP BY STEP EXPLANATION PLEASE.
Answer:
(a) \(x=\frac{19}{4}=4.75\)
(b) \(x=-\frac{1+\sqrt{193}}{6}\approx-2.4821, x=-\frac{1-\sqrt{193}}{6}\approx2.1487\)
Step-by-step explanation:
The detailed explanation is shown in the attached documents below.
PLEASE HELP DUE SOON!!!
The solution to the system of linear equation are -1 and 2
What is system of linear equationA system of linear equations is a collection of two or more linear equations with the same variables. The goal is to find the values of the variables that satisfy all the equations in the system. Linear equations are equations that have variables that are raised to the power of 1 and the coefficients of the variables are real numbers.
In the problem, we have equations as;
y = 2x + 4 ..eq(i)
x + y = 1 ...eq(ii)
Plotting this on a graph,
The value of x and y are -1 and 2
From the above, the solutions the student gave is wrong
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Anya has $25,000 which she recently received from a trust fund, which she intends to invest in an account earning 12% annually. a) How many years would it take Anya to accumulate $40,000. b) If Anya's goal is to save $40,000 in just 3 years, what rate of return must she earn annually on her account. Show all workings and formulae
a) It would take Anya approximately 4 years to accumulate $40,000 with an annual interest rate of 12%. b) Anya must earn an annual rate of return of approximately 12.6% to save $40,000 in 3 years.
a) To calculate the number of years it would take Anya to accumulate $40,000, we can use the future value formula for compound interest:
Future Value = Present Value * (1 + interest rate)ⁿ
Where:
Future Value = $40,000
Present Value = $25,000
Interest rate = 12% = 0.12
n = number of years
Substituting the given values into the formula, we have:
$40,000 = $25,000 * (1 + 0.12)ⁿ
Dividing both sides of the equation by $25,000, we get:
(1 + 0.12)ⁿ = 40,000 / 25,000
(1.12)ⁿ = 1.6
To solve for n, we can take the logarithm of both sides of the equation:
n * log(1.12) = log(1.6)
Using a calculator, we find that log(1.12) ≈ 0.0492 and log(1.6) ≈ 0.2041. Therefore:
n * 0.0492 = 0.2041
n = 0.2041 / 0.0492 ≈ 4.15
b) To calculate the required rate of return for Anya to save $40,000 in just 3 years, we can rearrange the future value formula:
Future Value = Present Value * (1 + interest rate)ⁿ
$40,000 = $25,000 * (1 + interest rate)³
Dividing both sides of the equation by $25,000, we have:
(1 + interest rate)³ = 40,000 / 25,000
(1 + interest rate)³ = 1.6
Taking the cube root of both sides of the equation:
1 + interest rate = ∛1.6
Subtracting 1 from both sides, we get:
interest rate = ∛1.6 - 1
Using a calculator, we find that ∛1.6 ≈ 1.126. Therefore:
interest rate = 1.126 - 1 ≈ 0.126
To express the interest rate as a percentage, we multiply by 100:
interest rate = 0.126 * 100 = 12.6%
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One bag of lawn fertilizer can cover approximately 6,000 square feet. Mike's lawn is about 300 square feet. When Mike applies fertilizer to his lawn, he applies it to 2/3 of his lawn only. About how many complete times can Mike fertilize his lawn with one bag of fertilizer?
Answer:
Mike fertilize his lawn with one bag of fertilizer = 19.33 times
Step-by-step explanation:
Given - One bag of lawn fertilizer can cover approximately 6,000 square feet. Mike's lawn is about 300 square feet. When Mike applies fertilizer to his lawn, he applies it to 2/3 of his lawn only.
To find - About how many complete times can Mike fertilize his lawn with one bag of fertilizer?
Solution -
Given that,
1 bag of fertilizer can cover approximately 6,000 square feet.
Now,
Mike's Lawn = 300 square feet
He applied fertilizer to 2/3 of his lawn only.
i.e
He applied fertilizer to (2/3)×300 = 200 square feet of lawn
Now,
Total fertilizer left to cover = 6,000 - 200 = 5800 square feet
Now,
Let x be the times for which he fertilize his lawn fully
SO,
300x = 5,800
⇒3x = 58
⇒x = 19.33
∴ we get
Mike fertilize his lawn with one bag of fertilizer = 19.33 times
A line intersects the points (12, 3) and (6, 1).
Find the slope of the line and simplify completely.
Answer:
slope=1/3
Step-by-step explanation:
slope=(y1-y2)/(x1-x2)
slope=(3-1)/(12-6)
slope=1/3
A recipe requires 8 cups of baking powder. You can only measure using 2/3 cups.
Answer:
sorry to tell you this but you will be measuring for a while
Step-by-step explanation:
go to walmart get a 2/3 measuring cup and measure out 8 cups i guess. get me some chips while your there plss. <3
I need help. Not sure how to complete this. Its attached below.
Answer:
The inequality for the perimeter to be atleast 300 feet is
Step-by-step explanation:
\(x\geq 142\)
Question 28 (1 point)
Find the point P along the directed line segment from point A(-18, -2) to point B(0, 6) that divides the segment in the ratio 1 to 3.
1
20
16+
12 +
84
-20 -16 -12 -8 -2
4
8
12 16 20
-8
-12
-16
-20
O a
P-224)
270)
Ob
pr-2
Oc
Od
PL-9,2
13. 0)
Pt-A
The coordinates of point P which divides the line segment AB in the ratio 1:3 are ( -13.5, 0)
What is section formula for internal division?
If point P (x,y) lies on line segment AB and satisfies AP:PB = m:n, then we say that P divides AB internally in the ratio m:n. The point of division has the coordinates
(x, y) = \((\frac{mx_2 + nx_1}{m+n} }, \frac{my_2 + ny_1}{m+n} )\)
According to the given question:
Coordinates of the line segment AB are A(-18, -2) and B(0, 6).
This line segment is divided into 1:3 ratio by point P
Let coordinates of point P be (x, y)
Using Section Formula
(x, y) = \((\frac{mx_2 + nx_1}{m+n} }, \frac{my_2 + ny_1}{m+n} )\)
Clearly (x₁, y₁) = (-18, -2) and (x₂, y₂) = (0, 6). Also m:n = 1:3
Substituting in the above equation
(x, y) = \((\frac{1.0 + 3.(-18)}{1+3} }, \frac{1.6 + 3.(-2)}{1+3} )\\\)
(x, y) = ( -13.5, 0)
Hence the coordinates of point P which divides the line segment AB in the ratio 1:3 are ( -13.5, 0)
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how to find slope of tangent line using implicit differentiation
Solve for dy/dx: dy/dx = (-2x) / (2y) = -x / y which gives the slope of tangent line using implicit differentiation
To find the slope of a tangent line using implicit differentiation, follow these steps:
1. Start with the given equation that represents the relationship between x and y in the form of an equation involving both variables, for example: F(x, y) = 0.
2. Differentiate both sides of the equation with respect to x using the chain rule whenever necessary. Treat y as a function of x and apply the derivative rules accordingly.
3. After differentiating, have a resulting equation involving both x, y, and their derivatives (dy/dx). Rearrange the equation if necessary to isolate dy/dx on one side.
4. Solve for dy/dx to find the derivative of y with respect to x. This will give the slope of the tangent line at any given point on the curve defined by the implicit equation.
Note: The resulting expression for dy/dx may involve both x and y variables. To find the slope of the tangent line at a specific point, substitute the coordinates of that point into the expression for dy/dx.
Here's an example to illustrate the process:
Given the implicit equation: \(x^2 + y^2 = 25\)
1. Start with the equation: \(x^2 + y^2 = 25.\)
2. Differentiate both sides with respect to x:
2x + 2y * (dy/dx) = 0
3. Rearrange the equation to isolate dy/dx:
2y * (dy/dx) = -2x
4. Solve for dy/dx:
dy/dx = (-2x) / (2y)
= -x / y
Now, have the expression for the slope of the tangent line in terms of x and y. To find the slope at a specific point, substitute the coordinates of that point into the expression.
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An employee put $5,000.00 in a retirement account that offers 9% interest compounded annually. The employee makes no additional deposits or withdrawals. Which amount is closest to the interest the employee will have earned at the end of 5 years?
Answer:
the answer would be $2693.12
Step-by-step explanation:
Please help me, it’s asap
The price that is 3rd standard above the mean, if the mean is $10000 and the standard deviation is $500 is $18500.
What is mean?Mean is a measurement of a probability distribution's central tendency along the median and mode. It also goes by the name "anticipated value."
Given:
The mean, m = $17000,
The standard deviation, σ = $500
Calculate the 3rd standard deviation as shown below,
3rd standard deviation = mean + 3 × standard deviation
3rd standard deviation = 17000 + 3 × 500
3rd standard deviation = 17000 + 1500
3rd standard deviation = $18500
Therefore, the price that is 3rd standard above the mean, if the mean is $10000 and the standard deviation is $500 is $18500.
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En un mercado competitivo, el volumen de ventas depende del monto gastado en publicidad del producto en cuestión. Si se gastan "x" dólares mensuales en publicidad de un producto particular; se determinó que el volumen de ventas "S" al mes (en dólares) está dado por la sig. Fórmula
Encuentre el volumen de ventas cuando x=500 v x=1000. Si se disminuye "x" de $500 a $100 por mes,
¿cuál es la disminución resultante en ventas?
The resulting decrease in sales is $17,083.27.
In a competitive market, many producers are in direct competition with one another in order to offer the goods and services that customers like you and me want and need. In other words, no single producer has the power to control the market.
Here in competitive market, the given formula is S = 15000 ln(1 + 0.02x)
When x = 500, S = 15000 ln(1 + 0.02(500)) = 15000 ln(11) ≈ $46,247.43
When x = 1000, S = 15000 ln(1 + 0.02(1000)) = 15000 ln(21) ≈ $76,155.25
If x is decreased from $500 to $100 per month, the percentage decrease is (500-100)/500 = 0.8 or 80%
To find the resulting decrease in sales, we need to calculate the difference in sales when x=500 and x=100.
When x = 500, S = 15000 ln(1 + 0.02(500)) = 15000 ln(11) ≈ $46,247.43
When x = 100, S = 15000 ln(1 + 0.02(100)) = 15000 ln(3) ≈ $29,164.16
The resulting decrease in sales is $46,247.43 - $29,164.16 ≈ $17,083.27.
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Correct Question:
In a competitive market, the volume of sales depends on the amount spent on advertising the product in question. If "x" dollars are spent per month advertising a particular product; It was determined that the sales volume "S" per month (in dollars) is given by the sig. Formula
Find the sales volume when x=500 v x=1000. If "x" is decreased from $500 to $100 per month,
What is the resulting decrease in sales?
do two intersecting lines ALWAYS determine a plane?
Answer: Yes.
Step-by-step explanation:
Two intersecting lines determine a plane. If you hold two pencils so that they cross each other, there’s only one place a flat plane can be placed so that it rests on both pencils. Which lines are always co planar? Two lines in three-dimensional space are coplanar if there is a plane that includes them both.
Answer:
In theory, yes.
Step-by-step explanation:
"If two lines intersect, then exactly one plane contains the lines." Now, each line contains two points, and according to another theorem in my book: "If two lines intersect, then they intersect in exactly one point." and three noncollinear points define a plane.