The total cost of putting the posters on the wall is $25.
What is the cost of putting the posters on the wall?
If the first poster on each end will be exactly even with the start of the wall, it means that after the two posters have been placed on either side of the wall, the total space left would be 10 feet (24 - 3 - 3 - 4 - 4).
After the first poster has been placed on both ends of the wall, a second poster would be placed on either ends of the wall. Total space now left is 4 feet (10 - 3 - 3). So there can only be four posters on the wall.
Total cost of 4 posters = 4 x $6.25 = $25
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Gap analysis is a process that could help accomplish which of the following tasks?
Answer:
a gap analysis is a method of assessing the performance of a business unit to determine whether business requirements order objectives are being met and if not what steps should be taken me them a gap analyse may also be referred to as need analysis need assessment or need gap analysis
Complete the equation of this circle:
(x − [?])²+(y - [ ])²=[ ]
Answer:
(x-{-2})^2+(y-{4})^2={36}
Equation:
x^2+y^2=r^2
r=radius
Blank following x/y is flipped center(of circle) coordinate for x/y
Please help me with this 2 Calc questions
20. A rational function [tex]\frac{p(x)}{q(x)}[/tex] (where [tex]p,q[/tex] are polynomials in [tex]x[/tex]) has a removable discontinuity at [tex]x=a[/tex] if for some positive integer [tex]n[/tex] we can factorize
[tex]p(x) = (x-a)^n p^*(x)[/tex]
[tex]q(x) = (x-a)^n q^*(x)[/tex]
[tex]\implies \dfrac{p(x)}{q(x)} = \dfrac{(x-a)^n p^*(x)}{(x-a)^n q^*(x)} = \dfrac{p^*(x)}{q^*(x)}[/tex]
That is, we "remove" the discontinuity at [tex]x=a[/tex] because while [tex]x\neq a[/tex], we have [tex]\frac{x-a}{x-a}=1[/tex]. The discontinuity is still there, since [tex]\frac{p(a)}{q(a)}[/tex] is undefined, but in the limit sense we can essentially ignore the factors of [tex]x-a[/tex]. The graph of [tex]\frac{p(x)}{q(x)}[/tex] will have all the features of [tex]\frac{p^*(x)}{q^*(x)}[/tex] aside from a hole at [tex]x=a[/tex].
In this case, we have
[tex]f(x) = \dfrac{x+4}{x^2-x-20} = \dfrac{x+4}{(x+4)(x-5)}[/tex]
and when [tex]x\neq-4[/tex], we can cancel the factor of [tex]x+4[/tex] so that
[tex]f(x) = \begin{cases}\dfrac1{x-5} & \text{if }x \neq -4 \\\\ \text{DNE} & \text{if }x = -4\end{cases}[/tex]
("DNE" = "does not exist", i.e. is undefined. For some reason "undefined" wouldn't render...)
This means [tex]x=-4[/tex] is a removable discontinuity.
We cannot do the same with the factor of [tex]x-5[/tex], so in contrast [tex]x=5[/tex] is a non-removable discontinuity.
21. The pieces of [tex]f(x)[/tex] defined on [tex]x<2[/tex] and [tex]x>2[/tex] are themselves continuous since they are polynomials. Then the continuity of [tex]f(x)[/tex] over the entire real line depends on the point where the pieces meet.
Here we have
[tex]f(x) = \begin{cases}x+3 & \text{if }x\le2 \\ cx+6 & \text{if }x>2\end{cases}[/tex]
so the pieces meet at [tex]x=2[/tex]. Continuity at this point requires that the both limits from either side of [tex]x=2[/tex] be the same. This means
[tex]\displaystyle \lim_{x\to2^-} f(x) = \lim_{x\to2} (x+3) = 2+3 = 5[/tex]
[tex]\displaystyle \lim_{x\to2^+} f(x) = \lim_{x\to2} (cx+6) = 2c + 6[/tex]
Solve for [tex]c[/tex].
[tex]2c + 6 = 5 \implies 2c = -1 \implies \boxed{c = -\dfrac12}[/tex]
What is the definition of yield to maturity?
Review Later
The return the investor gets from the income component of a bond as a percent of it's current price
The overall return the investor makes as a percent of a bond's par value
The overall return the investor makes if they purchase a bond today and hold to maturity
The return the investor gets from the income component of a bond as a percent of it's par value
The yield to maturity best defined by the option c. The overall return the investor makes if they purchase a bond today and hold to maturity.
It is the total return of rate that will have been incomed by a bond when it makes all liability payments and repays the principal amount.
Since, as per the definition of yield to maturity, investor would get the original price of bond plus and the rate of interest that finalized (at the time of bond purchase) when the maturity period will over.
Thus, the overall return the investor makes if they purchase a bond today and hold to maturity. Best describes yield to maturity.
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what are the numbers between 8 and 9
Answer:
The numbers between 8 and 8
9 is 8.5
8, 8.5, 9
Formulate the quadratic function that contains the points (-2,1), (0,1) and (1,4).
Answer:
Step-by-step explanation:
PLEASE HELP ASAP
20 POINTS
Answer:
linear
Step-by-step explanation:
From the table, we can deduct that y = 1.3x, which means it is a linear function. A linear function, when graphed, is a straight line.
David and Lacey are 2000 feet apart on a coastline. They each look at the same boat in the water. The angle between the coastline and the line from David to the boat is 70%. The line between the coastline
and the line from Lacey to the boat is 32.
Part A: How far is the boat from David?
Part B: How far is the boat from Lacey?
Part C: If David moved so that his distance from the boat is 1200 feet, what would the angle be between the coast and his view of the boat?
By using the given distances and directions, we have;
Part A: 1083.5 feet
Part B: 1921.37 feet
Part C: 58.05°
How can the distances and directions be calculated?The distance between David and Lacey = 2000 feet
David's angle to the boat = 70°
Lacey's angle to the boat = 32°
Part A
The distance of the boat from David is found as follows;
Imaginary lines drawn from the boat to David and then to Lacey form a triangle.
In the triangle, let A = 70°
B = 32°
Therefore by the sum of angles in a triangle, we have;
C = 180° - (70° + 32°) = 78°
By using sine rule we have;
[tex] \frac{a}{sin(A)} = \frac{b}{sin( B )} = \frac{c}{sin(C)}[/tex]
David's distance from the boat, b, is therefore;
[tex] \frac{b}{sin( 32 )} = \frac{2000}{sin(78)}[/tex]
The angle subtended by the coastline, C, is therefore;
[tex] b = \frac{2000}{sin(78)} \times sin( 32 ) = 1083.5 [/tex]
David's distance from the boat is 1083.5 feetPart B
The distance between the boat and Lacey is found as follows;
[tex] \mathbf{ \frac{a}{sin( 70)} }= \frac{2000}{sin(78)}[/tex]
[tex] a = \frac{2000}{sin(78)} \times sin( 70 ) = 1921.37 [/tex]
Lacey's distance from the boat is 1921.37 feetPart C
When b = 1200 feet, we have;
Finding the vertical distance of the boat from the coastline, we have;
1083.5 × sin(70) = 1018.17
We have;
[tex] \frac{1200}{sin(90)} = \frac{1018.17}{sin( B' )} [/tex]
[tex] {sin( B' )} = \frac{sin(90)}{1200} \times 1018.17 [/tex]
The angle between the coastline and his view to the boat, B', is therefore;
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what is the slope of the line that contains the points (-1, 8) and (5, -4)
Answer:
-2
Step-by-step explanation:
To find slope, we need to use the formula
[tex]\frac{y2-y1}{x2-x1}[/tex]
Substituting your coordinates (-1,8) and (5,-4) , we get -2 as a result.
Hope this helped!!
Answer:
slope = - 2
Step-by-step explanation:
calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 1, 8 ) and (x₂, y₂ ) = (5, - 4 )
m = [tex]\frac{-4-8}{5-(-1)}[/tex] = [tex]\frac{-12}{5+1}[/tex] = [tex]\frac{-12}{6}[/tex] = - 2
If the number of eight dollar child tickets is 17 less than three times the number of $12 adult tickets and the theater took in $584 how many of each tickets were sold
Which the most accurate statement about progress monitoring?
a. Progress monitoring is a useful way to ensure children are participating in targeted, purposeful, and meaningful math instruction and allows for the teacher to identify the skills children may need additional support in.
b. Incorporating children's individual differences into lesson planning is not necessary since the curriculum includes all the skills children need to learn in the order they need to learn them.
c. Progress monitoring is about administering formal assessments at the beginning and end of the year.
The most accurate statement about progress monitoring is progress monitoring is a useful way to ensure children are participating in targeted, purposeful, and meaningful math instruction and allows for the teacher to identify the skills children may need additional support in. Option A
What is progress monitoring?
Progress monitoring can be defined as a standard process of evaluating or checking progress toward a performance target on the basis of level of improvement from frequent assessment of a skill.
Thus, the most accurate statement about progress monitoring is progress monitoring is a useful way to ensure children are participating in targeted, purposeful, and meaningful math instruction and allows for the teacher to identify the skills children may need additional support in. Option A
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Small group activities, snack time, and transitions between classroom activities can provide quick opportunities for children to practice the quick recognition of small quantities. This skill is known as:
A. Subitizing
B. Memorization
C. One- to - one correspondence
Answer:
A. Subitizing
Step-by-step explanation:
The skill to recognize small numbers of objects without counting is known as subitizing.
__
Additional comment
Some people are able to quickly recognize numbers as large as 8. More commonly in humans, the limit is about 6.
Most animals (and some insects) have an inborn ability to recognize and count up to 3. After that, the group size gets generalized to "many." Predators that hunt in groups take advantage of this limitation in their prey.
Amie, Bruce, Corey, Dwayne, Eric, Frank, Georgia, Helen and Isis, members of an architectural firm, plan to meet in the company conference room to discuss the project coordinator's plans for their next project. Denote these nine people by
A, B, C, D, E, F, G, H, and 1. Find the total number of ways that members of this group can gather.
There are 362880 ways that members of this group can gather.
(Simplify your answer.)
CITED
There are 362,880 ways that members of this group can gather.
What are permutation and combination?A permutation is an act of arranging items or elements in the correct order.
Amie, Bruce, Corey, Dwayne, Eric, Frank, Georgia, Helen and Isis, members of an architectural firm, plan to meet in the company conference room to discuss the project coordinator's plans for their next project.
Denote these nine people by A, B, C, D, E, F, G, H, and I.
Then the total number of ways that members of this group can gather will be
⇒ 9!
⇒ 9 × 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1
⇒ 362,880
There are 362,880 ways that members of this group can gather.
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The Tropical Bay Resort complex is building a new irrigation system to ensure proper watering of their luscious landscape. Assuming $10 per linear foot, what is the cost for the minimum spanning tree
The minimum cost for this spanning tree has been calculated as $1100.
How to solve for the minimum spanning treeThis is solves as
AC + CD + DF + FE + EB
This would be
15 + 25+ 23 + 22 + 25
= 110
The minimum cost would be gotten by multiplying this valus with the amount per foot
= 10 * 110
= $1100
Hence the minimum cost of the spanning tree is $1100
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Anja represents the inequality startfraction 4 minus g over 8 endfraction less-than-or-equal-to negative 15 with the phrase "the quotient of the difference of 4 and a number and 8 is at least –15." which describes anja’s error? anja phrase should have stated "the difference of a number and 4" not "the difference of 4 and a number". anja phrase should have stated "the quotient of a number and 8" not "the quotient of the difference of 4 and a number and 8". anja’s phrase should have ended with "less than –15", not "at least –15". anja’s phrase should have ended with "at most –15", not "at least –15".
Anja’s phrase should have ended with “less than –15”, not “at least –15”.
Given statement:
Anja represents the inequality (4-g)/8 <-15
With the phrase “the quotient of the difference of 4 and a number and 8 is at least –15.”
Let the number be g.
“the quotient of the difference of 4 and a number and 8" translated to (4-g/8)
"at least" means : <
“the quotient of the difference of 4 and a number and 8 is at least –15.” translated to (4-g)/8 <-15
Therefore, Anja’s phrase should have ended with “less than –15”, not “at least –15”.
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The present age of Madison’s mother is 3 times that of Madison. After 614 years, the sum of their age will be 5334 years. Find their present ages. (Estimate the solution to the nearest whole number).
Answer:
ABCDE is a regular pentagon with congruent diagonals BE and BD. a) Justify AABE = ACBD with a test for congruent triangles. b) Name a pair of congruent quadrilaterals.
The present age of Madison is 1027 years and that of his mother is 3080 years (rounded off to nearest whole numbers), solved using the linear equation in one variable: (x + 614) + (3x + 614) = 5334, where x represents the present age of Madison.
What are linear equations in one variable?Linear equations in one variable are the linear relationship between two algebraic expressions not involving more than one variable throughout the equation.
How to solve the question?In the question, we are informed that the present age of Maison's mother is 3 times that of Madison. After 614 years, the sum of their age will be 5334 years.
We are asked to determine their present ages.
We assume the present age of Madison to be x years.
Therefore, the present age of Madison's mother = 3x years {3 times that of Madison}.
Now, after 614 years, both of their ages will increase by 614 years.
Therefore, age of Madison after 614 years = x + 614 {Present + 614}.
Age of Madison's mother = 3x + 614 {Present + 614}.
We are given that after 614 years, the sum of their ages will be 5334.
This can be represented by the linear equation in one variable:
(x + 614) + (3x + 614) = 5334
This linear equation in one variable can be simplified and solved in the following way:
or, 4x + 1228 = 5334 {Simplifying},
or, 4x + 1228 - 1228 = 5334 - 1228 {Subtracting 1228 from both sides}
or, 4x = 4106 {Simplifying}
or, 4x/4 = 4106/4 {Dividing both sides by 4},
or, x = 1026.5 {Simplifying}.
Therefore, the present age of Madison = x = 1026.5 = 1027 years (nearest whole number).
The present age of Madison's mother = 3x = 3*1026.5 = 3079.5 = 3080 years (nearest whole number).
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Select the correct difference.
-3z5 - (-7z5)
04 Zz
042²
O-10 z
042
The correct difference between the expressions is 4z⁵. The correct option is the first option 4z⁵
Simplifying an expressionFrom the question, we are to simplify the given expression by subtracting the expressions
The given expression is
-3z⁵ - (-7z⁵)
Clear the parenthesis by multiplying
-3z⁵ +7z⁵
Simplifying
4z⁵
The simplified form of the expression is 4z⁵
Hence, the correct difference between the expressions is 4z⁵. The correct option is the first option 4z⁵
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Volume of a cone 27cm 13 cm
The volume of the cone is 4775.94 cu.cm
What is a cone ?A cone is a three dimensional shape which has a circular base and then tapers down to a point called as Vertex.
It is given that the cone has
Height = 27 cm
Radius = 13 cm
The volume of the cone is given by
V = (1/3)πr²h
Volume = (1/3) * 3.14 * (13)² * 27
Volume = 4775.94 cu.cm
Therefore the volume of the cone is 4775.94 cu.cm
The complete question is
Find the volume of the cone of height = 27 cm and radius is 27 cm.
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find x and y
please help !
x = 39 degrees
(alternate angles)
Angles in triangle = 180
49 + 39 = 88
So, the missing angle inside the triangle is 92
Angles on straight line = 180
180 - 92 = 88
y = 88 degrees
Hope this helps!
Please HELP!!!!!
The domain (input values) of the cosine function is:
A. angle measures less than 2π radians.
B. angle measures between 0 and π radians.
C. angle measures less than 90°.
D. all negative and positive angle measures.
SUBMIT
Answer: D. all negative and positive angle measures.
If the cost of 70kg of rice is Rs 5600, find the cost of 1 quintal of rice.
Answer:
solution
Given,
70 kg rice =Rs.5600
1 kg= Rs5600÷70
=Rs.80
Rs.80 is for per kg.
For 1 quintal
1 quintal=100 kg
Then,
100×80
=Rs.8000.
When graphing the function f(x)=x^2-81/x^2-11x 18 on your graphing calculator, what is the most appropriate viewing window for determining the domain and range of the function?
An appropriate viewing rectangle is the set of minimum and maximum values of x and y on which all important attributes of the graph are clearly displayed.
We have been given a rational function:
[tex]f(x)=\frac{x^{2} -81}{x^{2} -11x+18}[/tex]
And we are required to determine an appropriate viewing rectangle for the graphing calculator.
Hence, An appropriate viewing rectangle is the set of minimum and maximum values of x and y on which all important attributes of the graph are clearly displayed.
For the given function, an appropriate viewing rectangle will be [-20,20,2] by [-20,20,2].
This function, when graphed using a graphing calculator on the said viewing rectangle, it appears as attached.
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Fill in the missing values in the X² column of the following table, and then calculate ΣX².
Parent
Children in Family of Origin (X)
Number of Planned Children (Y)
X²
A 3 3 9
B 3 1 9
C 3 2
D 2 2 4
E 4 3
ΣX² =
The missing values of x² column of the table are; 9 and 16 respectively and the value of ΣX² is; 47.
What are the missing values of x² in the table?If follows from the table that the three columns of the table record values x, y and x².
On this note, if fill that the first missing value in which case, x = 3 and y = 2 is; 3² = 9. And in the second case where, x = 4 and y = 3 is; 4² = 16.
Hence, the value of ΣX² = 9 + 9 +9 + 4 +16 = 47.
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problem 18. Find x and y
Answer:
x = 39°
y = 90°
Step-by-step explanation:
Answer:
x = 39°
y = 92°
Step-by-step explanation:
x = 39° because alternate (or z) angles are equal.
x = 92° because all angles in a triangle add up to 180°.
so
49+39=88
angles on a straight line are equal to 180°
180°-88° = 92
Hope this helps!
Brad has the option of using three types of tables in his bagel shop: square tables with a side length of 39 inches rectangular tables 23 inches wide and 71 inches long round (circular) tables with a diameter of 48 inches. Which type of table has the largest area?
The type of table that has the largest area is circular table
How to find area of figures?area of a square = l²
where
l = lengthTherefore,
area of the square table = 39² = 1521 inches²
area of a rectangle = lw
where
l = lengthw = widthTherefore,
area of the rectangular table = 23 × 71 = 1633 inches²
area of a circle = πr²
where
r = radiusTherefore,
area of a circular table = π × (48 / 2)² = 576π = 1808.64 inches²
Therefore, the table that has the largest area is the circular table.
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consider this equation
(thanks for the help!)
Answer:
it's a sin
chsheuheheuehhehrhrhrhr
Write a formula for the following:
The amount in an account at the end of a year, if simple interest is paid at
the rate of 16%, and the account contains d dollars at the beginning of the year.
Answer:
A = 1.16d
Step-by-step explanation:
Multiplying by 1 + the percentage value is equivalent to adding the percentage.
If f(x) = 2x² + 3 and g(x)=x2-7, find (f- g)(x).
Step-by-step explanation:
arithmetic operations with functions just means to do these operations with the function expressions. and the result is the resulting function.
so,
(f - g)(x) = f(x) - g(x) = (2x² + 3) - (x² - 7) =
= 2x² + 3 - x² + 7 = x² + 10
Point X is on line segment WY. Given WY=16 and WX=10, determine the length XY
The length of XY on the line segment WY is 6 units.
How to find line segment?The full line segment is WY.
Point X is on the line segment WY.
Therefore,
WY = 16 units
WX = 10 units
XY = WY - WX
Hence,
XY = 16 - 10 = 6 units.
Therefore, the length of XY on the line segment WY is 6 units.
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1.) A train travels due north at a speed of 100mph and a wind blows due west at a speed of 10mph.What is the direction of the smoke?
Answer:
North West
Step-by-step explanation:
The middle of North and West is North West and if theoretically the smoke is going in both directions it has to be genuinely staying in the North West if that makes sense.