Try suggested solution, note the answers are marked with green colour.
Given: line AD≅ line AO
Find: m∠OAD, m∠DBA.
Please Help!
Answer:
Part 1) [tex]m<OAD=60\°[/tex]
Part 2) [tex]m<DBA=30\°[/tex]
Step-by-step explanation:
Part 1) Find the measure of angle OAD
we know that
OA=OD=radius of the circle
If line AD≅ line AO
then
The triangle AOD is an equilateral triangle
Remember that
An equilateral triangle has the three equal sides and the three internal angles equal (60 degrees each one)
so
[tex]m<OAD=60\°[/tex]
Part 2) Find the measure of angle DBA
we know that
The inscribed angle measures half that of the arc comprising
so
[tex]m<DBA=\frac{1}{2}(arc\ AD)[/tex]
[tex]arc\ AD=m<AOD=60\°[/tex] ----> by central angle
substitute the value
[tex]m<DBA=\frac{1}{2}(60\°)=30\°[/tex]
Can some one verify the trigonometric identities?
Answer:
it is an identity
Step-by-step explanation:
Suppose f is a differentiable function such that f′(x)≤2 for all x∈[1,3]. If f(1)=4, the Mean Value Theorem says that f(3)≤V for what value of V? (Choose V as small as possible.)
The MVT guarantees the existence of [tex]c\in(1,3)[/tex] such that
[tex]f(c)=\dfrac{f(3)-f(1)}{3-1}=\dfrac{f(3)-4}2[/tex]
Since [tex]f'(x)\le2[/tex] for all [tex]x\in[1,3][/tex], we have
[tex]\dfrac{f(3)-4}2\le2\implies f(3)-4\le4\implies f(3)\le8[/tex]
so that [tex]V=8[/tex].
The mean value theorem is used to link the average rate of change and the derivative of a function.
The value of V is 8.
The given parameters are:
[tex]\mathbf{f'(x) \le 2}[/tex]
[tex]\mathbf{f(1) = 4}[/tex]
[tex]\mathbf{f(3) \le V}[/tex]
[tex]\mathbf{x \in [1,3]}[/tex]
Mean value theorem states that:
If [tex]\mathbf{f(x)\ is\ continuous\ at }[/tex] [a,b] and
[tex]\mathbf{f(x)\ is\ differentiable\ on }[/tex] (a,b),
Then there is a point c in (a,b), such that:
[tex]\mathbf{f'(c) = \frac{f(b) - f(a)}{b - a}}[/tex]
From the question, we understand that: f is differentiable
This means that:
[tex]\mathbf{f'(c) = \frac{f(b) - f(a)}{b - a}}[/tex]
So, we have:
[tex]\mathbf{f'(c) = \frac{f(3) - f(1)}{3 - 1}}[/tex]
[tex]\mathbf{f'(c) = \frac{f(3) - f(1)}{2}}[/tex]
Substitute 4 for f(1)
[tex]\mathbf{f'(c) = \frac{f(3) -4}{2}}[/tex]
Recall that: [tex]\mathbf{f'(x) \le 2}[/tex]
The equation becomes
[tex]\mathbf{\frac{f(3) -4}{2} \le 2}[/tex]
Cross multiply
[tex]\mathbf{f(3) -4 \le 4}[/tex]
Add 4 to both sides
[tex]\mathbf{f(3) \le 8}[/tex]
From the question, we have: [tex]\mathbf{f(3) \le V}[/tex]
By comparisons;
[tex]\mathbf{V = 8}[/tex]
Hence, the value of V is 8.
Read more about mean value theorems at:
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Suppose that there are two types of tickets to a show: advance and same-day. The combined cost of one advance ticket and one same-day ticket is $55. For one performance, 20 advance tickets and 35 same-day tickets were sold. The total amount paid for the tickets was $1700. What was the price of each kind of ticket?
Answer:
Price of advance ticket: 15$
Price of same-day ticket: $40
Step-by-step explanation:
Let [tex]y[/tex] be the price of one advance ticket and [tex]x[/tex] the cost of one same day ticket.
We know that the combined cost of one advance ticket and one same-day ticket is $55, so
[tex]y+x=55[/tex] equation (1)
We also know that 20 advance tickets and 35 same-day tickets cost $1700, so
[tex]20y+35x=1700[/tex] equation (2)
Now, let's solve our system of equations step-by-step:
step 1. Solve for [tex]x[/tex] in equation (1)
[tex]y+x=55[/tex]
[tex]x=55-y[/tex] equation (3)
step 2. Replace equation (3) in equation (2)
[tex]20y+35x=1700[/tex]
[tex]20y+35(55-y)=1700[/tex]
[tex]20y+1925-35y=1700[/tex]
[tex]-15y=-225[/tex]
[tex]y=\frac{-255}{-15}[/tex]
[tex]y=15[/tex] equation (4)
step 3. Replace equation (4) in equation (3)
[tex]x=55-y[/tex]
[tex]x=55-15[/tex]
[tex]x=40[/tex]
We can conclude that the price of one advance ticket is $15 and the price of one same-day ticket is $40.
20 COINS
Cylinder A has radius r and height h as shown in the diagram. Cylinder B has radius 2r and height 2h. How many times greater is the surface area of Cylinder B than the surface area of Cylinder A?
The surface area of a cylinder is given by
[tex]A_A = 2\pi rh[/tex]
which is the surface area of cylinder A.
To compute the surface area of cylinder B, we have to map [tex](r,h)\mapsto (2r, 2h)[/tex] and we have the following formula
[tex]A_B = 2\pi(2r)(2h)[/tex]
If we manipulate the second expression, we have
[tex] A_B = 8\pi rh[/tex]
Which implies
[tex]\dfrac{A_B}{A_A} = \dfrac{8\pi rh}{2\pi rh} = 4 [/tex]
Which correct answer will this be?
Answer:
none of the above
Step-by-step explanation:
The plot has a generally downward trend, so the correlation coefficient will be negative. However, it is not scattered enough for r = -0.36 and not linear enough for r = -0.95.
My estimate of point values lets my graphing calculator give the correlation coefficient as -0.80. This is closer to -0.95 than to -0.36, but is significantly different from both of them.
Write a linear equation that intersects y = x2 at two points. Then write a second linear equation that intersects y = x2 at just one point, and a third linear equation that does not intersect y = x2. Explain how you found the linear equations.
Answer:
y = xy = x - 1/4y = x - 1/2Step-by-step explanation:
1. Any linear equation that describes a line with non-zero slope through the vertex of the parabola will intersect the parabola at two points (the vertex being one of them). A simple equation for such a line is y=x.
__
2. Differentiating the equation, you find that the slope of the curve y = x^2 is 2x, so if we choose a line with a slope of 1, it will go through the point on the curve with x-value equal to 1/2. The y-value at that point is y = (1/2)^2 = 1/4, so the y-intercept of the line must be -1/4.
The line that intersects the curve at one point (1/2, 1/4) is tangent at that point. It has equation y = x -1/4.
__
3. Any line with the same slope as the tangent line, but a more negative y-intercept, will not intersect the parabola at all. Such a line is y = x -1/2.
_____
Truth be told, I found the line y = x -1/2 did not intersect the parabola at all when I thought I was writing the equation for the tangent line. It was an answer to part of your question, just not the part I originally intended.
Answer:
A linear equation that intersects at two points would be y = 1x. A linear equation that only has one intersect point would be y=0. finally, a linear equation that has no intersect point would be y = x - 4. I could these by plotting them on a graph and finding out that these will work.
Step-by-step explanation:
Given: m
EL
=(2x)°, m
LG
=(3x)°
m
GF
=(4x−8)°, m
FE
=(x−12)°
Find: m∠LTE
Answer:
m∠LTE = 110
Step-by-step explanation:
1. add up all of the arcs.
2x+3x+4x-8+x-12
2. all of the arcs equal 360
2x+3x+4x-8+x-12=360
3. Find x
10x-20=360, x=38
4. angle LTE is equal to half of the sum of the intercepted arcs.
0.5(arc LE +GF)
5. plug in LE +GF with x
.5(76+144)
Answer:
m∠LTE = 110°
Step-by-step explanation:
We know that sum of all arcs of a circle is 360°
Therefore [tex]m(arcAL)+m(arcLG)+m(arcGF)+(mFE)=360[/tex]
Now we put the values of each arc
[tex](2x)+(3x)+(4x-8)+(x-12)=2x+3x+4x+x-8-12=10x-20=360[/tex]
10x = 360 + 20
10x = 380
[tex]x=\frac{380}{10}[/tex]
x = 38
Now from the theorem of intersecting chords in a circle
Measure of ∠LTE = [tex]\frac{1}{2}[m(arcEL)+m(arcGF)][/tex]
m(arc EL) = 2x = 2×38 = 76°
m(arc GF) = (4x - 8) = (4×38 - 8) = (152 - 8) = 144°
Now we can get the measure of ∠LTE
m∠LTE = [tex]\frac{1}{2}(76 + 144)=\frac{220}{2}=110[/tex]
Therefore m∠LTE = 110° is the answer.
A granola recipe calls for 3/4 of a cup of peanuts and 2/3 of cup of raisins. how many cups of raisins should be used for every one cup of peanuts
Answer:
how many cups are needed for the recipe
Step-by-step explanation:
A Web music store offers two versions of a popular song. The size of the standard version is 2.3 megabytes (MB). The size of the high-quality version is 4.2 MB. Yesterday, the high-quality version was downloaded three times as often as the standard version. The total size downloaded for the two versions was 3427 MB. How many downloads of the standard version were there?
Answer:
230
Step-by-step explanation:
Let number of downloads of standard version be x,
and
number of downloads of high quality version be y
We can write 2 equations and solve simultaneously.
"the high-quality version was downloaded three times as often as the standard version.":
[tex]y=3x[/tex]
"The size of the standard version is 2.3 megabytes (MB). The size of the high-quality version is 4.2 MB ... The total size downloaded for the two versions was 3427 MB":
[tex]2.3x+4.2y=3427[/tex]
Now, plugging in equation 1 into equation 2, we can solve for x (hence standard version downloads number):
[tex]2.3x+4.2y=3427\\2.3x+4.2(3x)=3427\\2.3x+12.6x=3427\\14.9x=3427\\x=230[/tex]
There were 230 downloads of the standard version
Answer:
270
Step-by-step explanation:
aleks answer
The sum of 6 and another number is 23, write and solve an equation to find the other number
Answer: 23 - 6 = x
x = 17
Step-by-step explanation:
6 + x = 23
x = 23 - 6
23 - 6 = 17
x = 17
6 + 17 = 23
Hope this helps!
Answer:
6+x=23
Step-by-step explanation:
So, the number you need to find is x, so x plus 6 equals 23 (the sum of the two numbers).
Hope this helped :)
write the equation of the line that passes through the point (-4,-2) and is parallel to the line y= 1/4x + 3
First find the gradient of the perpendicular line. You do this by taking the negative reciprocal of the gradient of the first line (y= 1/4x +3):
Perpendicular gradient = negative reciprocal of [tex]\frac{1}{4}[/tex] = -4
Next, you substitute the x and y values into the following equation and solve:
y = -4x +c
-2 = -4(-4) +c
-2 = 16 + c
-18 = c
Substitute c back into the equation above to get the final answer:
y = -4x -18
-------------------------------------------------
Answer
y = -4x - 18
a large park in the shape of a parallelogram. The park has an area of 776 1/4 square yards. The base of the park 34 1/2 yards. marta wants to jog 10 sprints. each sprint is the same distance as the height of the park. how far will marta sprint
Answer:
So, marta will sprint 225 yards.
Step-by-step explanation:
Area of parallelogram= b*h
Given: Area = 776.5 square yards
Base = 34.5 yards
Area = b* h
776.5 = 34.5 * h
776.5/34.5 =h
=> h = 22.5
Since sprint is the same distance as of height of park so,
Distance of 1 sprint = 22.5 yards
Distance of 10 sprints = 10 * 22.5 = 225 yards
Answer:
hi
Step-by-step explanation:
Members of a high school sports team are selling boxes of popcorn and boxes of pretzels for a fundraiser. They earn $2 for every box of popcorn they sell and $5 for every box of pretzels. The members want to earn at least $500 from all sales. Let x represent the numbers of boxes of popcorn and let y represent the number of boxes of pretzels sold
Answer:
The solution in the attached figure
Step-by-step explanation:
Let
x------> the numbers of boxes of popcorn sold
y-----> the number of boxes of pretzels sold
we know that
[tex]2x+5y\geq 500[/tex] ----> inequality that represent the situation
using a graphing tool
The solution is the shaded area above the solid line [tex]2x+5y=500[/tex] between the positive values of x and the positive values of y
see the attached figure
We aim to earn $500+, selling popcorn at $2/box and pretzels at $5/box. Equation: [tex]\( y \geq \frac{500 - 2x}{5} \)[/tex], where ( x ) is the number of popcorn boxes.
let's break down the problem step by step:
1. Let's define our variables:
- ( x ): Number of boxes of popcorn sold
- ( y ): Number of boxes of pretzels sold
2. We are given the following information:
- The team earns $2 for every box of popcorn sold.
- The team earns $5 for every box of pretzels sold.
- The team wants to earn at least $500 from all sales.
3. We can express the total earnings from selling popcorn and pretzels using the given information:
- Total earnings from popcorn sales: ( 2x )
- Total earnings from pretzel sales: ( 5y )
4. Since the team wants to earn at least $500, we can write this as an inequality:
[tex]\[ 2x + 5y \geq 500 \][/tex]
Now, let's solve this inequality for \( y \):
[tex]\[ 2x + 5y \geq 500 \][/tex]
[tex]\[ 5y \geq 500 - 2x \][/tex]
[tex]\[ y \geq \frac{500 - 2x}{5} \][/tex]
So, the number of boxes of pretzels sold, ( y ), should be greater than or equal to[tex]\( \frac{500 - 2x}{5} \).[/tex]
Now, let's plot this inequality on a graph.
- Choose a few values of ( x ) and find the corresponding values of ( y ) using the inequality.
- Plot these points on the graph.
- Draw a line that passes through these points, and it should be a solid line because of the "greater than or equal to" sign.
- Shade the area above the line because ( y ) should be greater than or equal to[tex]\( \frac{500 - 2x}{5} \).[/tex]
Let's choose a few values of ( x ) to plot:
1. When ( x = 0):
[tex]\( y = \frac{500 - 2(0)}{5} = \frac{500}{5} = 100 \)[/tex]
2. When ( x = 100 ):
[tex]\( y = \frac{500 - 2(100)}{5} = \frac{500 - 200}{5} = \frac{300}{5} = 60 \)[/tex]
3. When ( x = 200 ):
[tex]\( y = \frac{500 - 2(200)}{5} = \frac{500 - 400}{5} = \frac{100}{5} = 20 \)[/tex]
Using the linear equation 4x–3y=12, express: b x in terms of y
Answer:
y = [4(x-3)]/3
Step-by-step explanation:
4x = 12+3y
3y = 4x-12
y = [4(x-3)]/3
Best regards
One way to determine the surface area a this cylinder is to-
a. add the areas of both bases to the rectangular area around the cylinder
b. add the areas of both bases
c. multiply the area of both the base by height
d. multiply the rectangular area around the cylinder by pi
please help asap!! i will mark brainiest if correct!!
Answer:
a. add the areas of both bases to the rectangular area around the cylinder
Step-by-step explanation:
None of the other choices has anything to do with the surface area of a cylinder.
_____
Use your sense of what the question is asking about.
ANSWER:
A. is the only answer choice talking about surface area....
PLEASE PLEASE PLEASE PLEASE HELP WITH MATH. ILL GIVE POINTS, BRAINY, AND FRIEND.
State the distance formula, slope formula, and midpoint formula. Using a set of coordinates you create to show how to use each.
distance formula
The distance formula is really just the Pythagorean Theorem in disguise. To calculate the distance AB between point A(x1,y1) and B(x2,y2) , first draw a right triangle which has the segment ¯AB as its hypotenuse. Since AC is a horizontal distance, it is just the difference between the x -coordinates: (x2−x1)
slope formula
To calculate the slope of a line you need only two points from that line, (x1, y1) and (x2, y2). The equation used to calculate the slope from two points is: On a graph, this can be represented as: There are three steps in calculating the slope of a straight line when you are not given its equation.
midpoint formula
The midpoint is halfway between the two end points: Its x value is halfway between the two x values. Its y value is halfway between the two y values.
╦___________________________________╦
│Hope this helped _____________________│
│~Xxxtentaction ^̮^ _____________________│
╩___________________________________╩
The distance formula is d=√(x2 - x1)² + (y2 - y1)² and it's similar to the pythagorean theorem; finding the ditance between one point and another. The slope formula is y2 - y1 / x2 - x1 or rise/run. It also finds the distance between two points but slope measures whether the line is increasing or decreasing, and by what rate. The midpoint formula is (x1 + x2 /2 , y1 + y2 / 2) which is a set of coordinates. It finds the middle or midpoint of the line connecting two points.
Hope this helps!
Please help me with this question asap
To finding the valu of <a and <b
<a + 120 =180 [supplementary angle]
<a= 180-120
<a= 60
Again
<a+<b+60=180 [sum of interior angle of triangle is 180]
<b=180-60-<a
<b=180-120
<b=60
hope its helps u
Complete the square to transform the quadratic equation into the form (x – p)2 = q. x2 - 12x - 5 = 7 A) (x - 36)2 = 9 B) (x - 6)2 = 48 C) (x - 36)2 = -9 D) (x - 6)2 = -48
(May I have an explanation or work that you did)
x2 - 12x - 12 = 0
(x - 6)2 - 48 = 0
(x - 6)2 = 48
Hence, the answer is (B).
Answer:
B
Step-by-step explanation:
given
x² - 12x - 5 = 7 ( add 5 to both sides )
x² - 12x = 12
To complete the square
add (half the coefficient of the x- term )² to both sides
x² + 2(- 6)x + (- 6)² = 12 + (- 6)²
x² + 2(- 6)x + 36 = 12 + 36 ← complete the square on the left side
(x - 6)² = 48 → B
Evaluate the polynomial for x=9
-7x+6 please show your work
Answer:
-57
Step-by-step explanation:
Put the value of x where x is and do the arithmetic.
-7·9 +6 = -63 +6 = -57
PLEASE HELP ASAP
Shade the following: (B - A') intersects (A - C)
Step-by-step explanation:
Look at the picture.
A' - The complement of a set is the set of all elements in the given universal set U that are not in A.
B - A - The set difference of sets A and B is the set of all elements in A that are not in B.
A ∩ B - The intersection of sets A and B is the set of all distinct elements that are in both A and B.
Let f(x)= log x
what is the average rate of change of f(x) from 2-3
round to the nearest hundredth
The average rate of change of the log function f(x) = log x from 2 to 3 is approximately 0.18, calculated using the formula for average rate of change.
Explanation:In mathematics, the average rate of change of a function between two points is defined as the change in the function's output divided by the change in its input. In this case, we want to find the average rate of change of f(x) = log x from 2 to 3.
The formula for this calculation is: (f(b) - f(a)) / (b - a). In this case, a = 2 and b = 3.
Step 1: Plug the values of a and b into the function log(x): f(2) = log(2) and f(3) = log(3).
Step 2: Subtract f(2) from f(3) and then divide by the difference between 2 and 3: (log(3) - log(2)) / (3 - 2) = (0.4771 - 0.3010) / 1 = 0.1761.
So, the average rate of change of the function f(x) = log x from 2 to 3 is approximately 0.18 when rounded to the nearest hundredth.
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To find the average rate of change of f(x) = log x from 2 to 3, calculate the difference in the values of f(x) and divide it by the difference in the values of x. The average rate of change is approximately 0.41.
Explanation:To find the average rate of change of f(x) = log x from 2 to 3, we need to calculate the difference in the values of f(x) at x=2 and x=3 and divide it by the difference in the values of x.
Finding the values of f(2) and f(3) we have: f(2) = log 2 ≈ 0.69 and f(3) = log 3 ≈ 1.10.
The average rate of change is calculated as:
(f(3) - f(2)) / (3 - 2)Substituting the values, we get:
(1.10 - 0.69) / (3 - 2) ≈ 0.41Therefore, the average rate of change of f(x) from 2 to 3 is approximately 0.41.
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4x^2+bx+9=0 has no real number solutions what must be true about b
The value of 'b' in the quadratic equation [tex]4x^2+bx+9=0[/tex] must result in a negative discriminant, which means [tex]b^2[/tex] must be less than 144 for the equation to have no real number solutions.
For a quadratic equation [tex]ax^2+bx+c=0[/tex] to have no real number solutions, its discriminant must be negative. The discriminant is given by the formula [tex]b^2-4ac[/tex]. In the case of the equation [tex]4x^2+bx+9=0[/tex], a is 4 and c is 9. For this equation to have no real solutions, the value of b must be such that [tex]b^2-4(4)(9)[/tex] is less than 0. This simplifies to [tex]b^2-144 < 0[/tex]. Therefore, for the student's equation to have no real number solutions, the value of b must satisfy [tex]b^2 < 144.[/tex]
For the quadratic equation 4x² + bx + 9 = 0 to have no real roots, the discriminant must be negative, which leads to the requirement that b² < 144.
To determine what must be true about b in the quadratic equation 4x² + bx + 9 = 0 with no real number solutions, we consider the discriminant of a quadratic equation, which is given by the formula Discriminant = b² - 4ac. For the given equation, a equals 4 and c equals 9. In order for a quadratic equation to have no real roots, the discriminant must be negative. Therefore, our inequality becomes b² - 4(4)(9) < 0, which simplifies to b² < 144. Therefore, the requirement for the quadratic equation to have no real solutions is that the square of b must be less than 144, elucidating the crucial role of discriminants in determining the nature of solutions in quadratic equations.
The perimeter of a regular hexagon depends on the length of its side. Write the formula that describes this perimeter as the function of side’s length.
The formula to calculate the perimeter of a regular hexagon is P = 6s, where 'P' is the perimeter and 's' is the length of one side. It's crucial to use consistent units when measuring and calculating.
Explanation:In mathematics, the perimeter of a shape is the distance around its borders. For a regular hexagon, which is a six-sided polygon with all sides of equal length, the perimeter is calculated by simply multiplying the length of one side by the number of sides. Therefore, if you know the length of a side, you can calculate the perimeter of the regular hexagon using the formula:
P = 6s
Where 'P' is the perimeter and 's' is the length of a side of the hexagon. It's important to use consistent units when making these measurements and calculations to ensure accuracy.
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The perimeter of a regular hexagon can be calculated using the formula: P = 6 * S, where P represents the perimeter and S represents the length of a side.
Explanation:In mathematics, the perimeter of a shape is the distance around its borders. For a regular hexagon, which is a six-sided polygon with all sides of equal length, the perimeter is calculated by simply multiplying the length of one side by the number of sides. The formula that describes the perimeter of a regular hexagon as a function of the length of its side is:
P = 6 * S
Where P represents the perimeter and S represents the length of a side.
Since a regular hexagon has six equal sides, you can multiply the length of a side by 6 to find the total perimeter.
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please answer with steps!! anyone of the questions in the photo worth 20 points
16. The first attachment shows a table of the given values and the function evaluated at those points.
Maximum: 11 at (4, -3)Minimum: -8 at (-4, 0)___
17. The cost function for this problem is an expression of the total cost as a function of number of days open:
c(x, y) = 40x + 50y
The system of inequalities expresses the constraints on delivery of glass and aluminum in terms of the number of days open:
140x + 100y ≥ 154060x + 180y ≥ 1440To minimize costs, Center 1 should be open 6 15/16 days; Center 2 should be open 5 11/16 days. The cost function is minimized when it goes through the vertex of the feasible region that puts it closest to the origin.
___
18. (a) Jane can use the revenue function ...
r(x, y) = 120x +70y
(b) The constraints on hours and numbers of visits are ...
x + (1/2)y ≤ 8 . . . . . . hours in the dayy ≤ 7 . . . . . . . . . . . . . constraint on follow-up visits(c) For the given vertices, Jane's best choice is (4, 7), which will produce $970 in revenue for the office.
As is sometimes the case, the integer vertex closest to the corner of the feasible region is not the one that maximizes revenue. Jane's best choice is not on the problem's list. It is (5, 6), which will produce $1020 in revenue.
See the second attachment for the graph related to the problem.
_____
Apology
The graphs are out of order because my first attempt at 17 had an error. The corrected graph was added as the last attachment.
_____
Steps
In all of these linear programming problems, the "objective function" is the function of the problem variables that you want to maximize or minimize. In order to write it, you need to understand what the problem variables are and how they relate to the objective. In each of these problems, you are told what x and y stand for and their relation to the objective.
When considering the constraints, you must consider how the problem variables relate to any limits imposed. As in problem 17, sometimes the limits are minima (must deliver at least ...). In problem 18, the limits are maxima (8 hours in a day; no more than 7 follow-ups).
So, first read and understand the problem statement and the relationships it is telling you. Then, do what the problem asks you to do. Sometimes that will involve finding a solution; sometimes not.
Often, you can use logic to help you understand whether your solution is reasonable. In the doctor problem (18), the doctor makes more money per hour doing follow-ups, so would probably want to maximize those (4, 7). However, doing that leaves a half-hour with zero revenue. That last hour is better spent seeing a new patient ($120) than seeing only one follow-up patient ($70).
Help plz show work please
Alright, so here we have a cone and a cylinder. The cone has a height of 12. The cylinder has a height of 10.5. Both shapes, because they're on top of each other, have a diameter of 26 or a radius of 13.
Equation for a cylinder: [tex]V_{cylinder} = \pi r^{2} h[/tex]
Equation for a cone: [tex]V_{cone} = \frac{1}{3} \pi r^{2} h[/tex]
We're going to add both of the volumes of these shapes as soon as we find them.
Cylinder:
[tex]V_{cylinder} = \pi r^{2} h\\= \pi (13)^{2} (10.5)\\\approx 5574.756[/tex]
Cone:
[tex]V_{cone} = \frac{1}{3} \pi r^{2} h\\= \frac{1}{3} \pi (13)^{2} (12)\\\approx 2123.717[/tex]
Add both values: 2123.717 + 5574.756 = 7698.473 cm³.
Hope this was helpful, let me know if I missed anything!
Answer:
7698.473 cm³.
Step-by-step explanation:
I need to write a 5-paragraph eassy, so please help me it is base on an article name "Schools in Maryland Allow Elementary Students to Carry Cellphones, by Amanda Lenhart, The Washington Post" here are some pic. I just need help writing two paragraph. I already have my Introduction, Body Paragraph #1 and my Body paragraph #2 just need my Body paragraph #3 and my Conclusion I will give brainlis and 30 pnt.
Prompt:
Write an argumentative essay answering the questions: Should students be allowed to carry cellphones on campus? You must support your claim with evidence from the text. You may also use relevant examples from your own experience, observations, and other readings.
Directions:
Before you begin, read the text below, which presents information about the advantages and disadvantages of carrying a cell phone at school. Use the Student Writing Checklist on the back of this page to plan and write a multi-paragraph essay that addresses the prompt. Use your own words, except when quoting directly from the text.
Need help please, does any one know how to do this
Answer:
(6-u)/(2+u)8/(u+2) -1-u/(u+2) +6/(u+2)Step-by-step explanation:
There are a few ways you can write the equivalent of this.
1) Distribute the minus sign. The starting numerator is -(u-6). After you distribute the minus sign, you get -u+6. You can leave it like that, so that your equivalent form is ...
(-u+6)/(u+2)
Or, you can rearrange the terms so the leading coefficient is positive:
(6 -u)/(u +2)
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2) You can perform the division and express the result as a quotient and a remainder. Once again, you can choose to make the leading coefficient positive or not.
-(u -6)/(u +2) = (-(u +2)-8)/(u +2) = -(u+2)/(u+2) +8/(u+2) = -1 + 8/(u+2)
or
8/(u+2) -1
Of course, anywhere along the chain of equal signs the expressions are equivalent.
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3) You can separate the numerator terms, expressing each over the denominator:
(-u +6)/(u+2) = -u/(u+2) +6/(u+2)
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4) You can also multiply numerator and denominator by some constant, say 3:
-(3u -18)/(3u +6)
You could do the same thing with a variable, as long as you restrict the variable to be non-zero. Or, you could use a non-zero expression, such as 1+x^2:
(1+x^2)(6 -u)/((1+x^2)(u+2))
a semielliptic archway has a height of 15 feet at the center and a width of 50 feet. the 50 foot width consists of a two lane road. can a truck that is 12 feet high and 14 feet wide drive under the archway without going into the other lane?
The truck cannot drive under the archway since it is taller than the highest point of the archway.
Explanation:To determine if a truck can drive under the semielliptic archway without going into the other lane, we need to compare the height and width of the truck to the height and width of the archway. The truck has a height of 12 feet and a width of 14 feet. The highest point of the archway is at its center, which is 15 feet high. So, the truck will not fit under the archway since it is taller than the highest point of the archway.
Rich is buying a home for $244,800. He is making a 15% down payment and financing the rest with a 25-year loan a 5.25% interest
A. $1149.02
B. $1216.44
C. $1246.82
D. $1466.84
Answer:
C. $1246.82
Step-by-step explanation:
Using the factor shown in the table for a 25-year loan at 5.25%, the calculated payment is ...
5.992·(244.8·0.85) = 1246.82
The factor of 0.85 on the home price represents the effect of subtracting 15% from the price to get the loan value. Of course, the home price is the number of thousands, so is 244.8 thousand.
_____
If you do the calculation, rather than use a factor from a table, you get a mortgage payment value of $1246.91. This suggests that the numbers in the table need more significant digits for loan values this high.
Answer:
C is your answer
50+50-25*0+2+2=
What is the answer
Answer:
104
Step-by-step explanation:
50+50-25*0+2+2
Order of operations....50+50-0+2+2
This equals to 100+2+2
Then you get the answer of 104.
I hope you understand..
Answer:
104
Step-by-step explanation: