the sum of three consecutive even integers if the largest is y
Answer: 3y-3
Step-by-step explanation: Largest is y. They are consecutive so the 2nd and 3rd and y-1 and y-2. So, the sum is y+y-1+y-2 which is 3y -3.
14. Suppose the diameter of circle B were 18 inches instead of 8 inches. What is the
total cost of the glass for your window now?
The total cost of the glass for your window now $174.8
How to determine the total cost of the glass for your window now?The complete question is added as an attachment
From the attached figure, we have the following parameters:
Square of side length 24 inchesCircle B of diameter 20 inchesCircle A of diameter 18 inchesThe area of region 1 is calculated using:
Region 1 = Area of square - Area of circle B
This is calculated as
Region 1 = L^2 - π(d/2)^2
So, we have:
Region 1 = 24^2 - 3.14 * (20/2)^2
Evaluate the quotient
Region 1 = 24^2 - 3.14 * 10^2
Evaluate the exponent
Region 1 = 576 - 3.14 * 100
Evaluate the product
Region 1 = 576 - 314
Evaluate the difference
Region 1 = 262
The cost per square inch of this region is $0.10.
So, we have:
Total cost of region 1 = 262 * $0.10
Total cost of region 1 = $26.10
The area of region 2 is calculated using:
Region 2 = Area of circle B - Area of circle A
This is calculated as
Region 2 = π(D/2)^2 - π(d/2)^2
So, we have:
Region 2 = 3.14 * (20/2)^2 - 3.14 * (18/2)^2
Evaluate the quotient
Region 2 = 3.14 * 10^2 - 3.14 * 9^2
Evaluate the exponent
Region 2 = 3.14 * 100 - 3.14 * 81
Evaluate the product
Region 2 = 314 - 254.34
Evaluate the difference
Region 2 = $59.66
The cost per square inch of this region is $0.15.
So, we have:
Total cost of region 2 = 59.66 * $0.15
Total cost of region 2 = $8.949
The circle B is divided into sectors.
And the angles of the sectors are 90 and 270 degrees
The area of each sector is
Area = ∅/360 * π(d/2)^2
So, we have:
Circle B = ∅/360 * π(d/2)^2 + ⊕/360 * π(d/2)^2
So, we have:
Circle B = 90/360 * 3.14 * (18/2)^2 + 270/360 * 3.14 * (18/2)^2
Evaluate the quotient
Circle B = 0.25 * 3.14 * 9^2 + 0.75 * 3.14 * 9^2
Evaluate the exponent
Circle B = 0.25 * 3.14 * 81 + 0.75 * 3.14 * 81
Evaluate the product
Circle B = 63.585 + 190.755
The cost per square inch of this region is $0.80 for 1 sector and $0.20 for the rest
So, we have:
Total cost of circle B = 63.585 * 0.80 + 190.755 * 0.20
Total cost of circle B = 89.019
Add the total costs
Total cost of the glass for your window = Region 1 + Region 2 + Circle B
Total cost of the glass for your window = $26.10 + $59.66 + $89.019
Evaluate the sum
Total cost of the glass for your window = $174.779
Approximate
Total cost of the glass for your window = $174.8
Hence, the total cost of the glass for your window now $174.8
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What is the slop of the line?
corresponding angles are congruent =. which angle corresponds with 3
The angle that corresponds to 3 is angle 5
How to determine the angle that corresponds to 3?Corresponding angles are angles that are at the same relative position between parallel lines and transversal
These angles are congruent
From the figure, we have:
Angle 3 and Angle 5 are in the same relative position
Hence, the angle that corresponds to 3 is angle 5
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Quick algebra 1 question for 10 points!
Only answer if you know the answer, quick shout-out to tariqareesha2 and MrBrainly, tysm for the help!
Answer:
109x
Step-by-step explanation:
We know that there are 109 students in the fourth grade, who each have x cupcakes. In order to find the total amount of cupcakes, we could add all of the cupcakes together to get:
x + x + x + x + .... x
109 times because there are 109 students.
This can be simplified to become 109x.
Rearrange the equation so w is the independent variable.
u-5=-4(w-1)u−5=−4(w−1)u, minus, 5, equals, minus, 4, left parenthesis, w, minus, 1, right parenthesis
u=u=
u = - 4w + 9 is the rearranged equation so that w is the independent variable given that the equation is u - 5= - 4(w - 1). This can be obtained by simplifying the equation and taking w to one side of the equation with other constants.
Find the rearranged equation:Simplifying an equation can be done by using the following steps:
Add/subtract the terms from the equation on both sides Multiply/divide the coefficients of the variable in order to isolate the variable Solve for the variable Substitute the variable in the original equation for finding other variables (if any)Here it is given that the equation is,
⇒ u - 5= - 4(w - 1)
We have to find an equation in which w is taken to one side of the equation with other constants.
First by adding both side of the equation with 5 we get,
⇒ u - 5 + 5 = - 4(w - 1) + 5
By opening the bracket we get,
⇒ u = - 4w + 4 + 5
Finally by adding the constants we get,
⇒ u = - 4w + 9
Hence u = - 4w + 9 is the rearranged equation so that w is the independent variable given that the equation is u - 5= - 4(w - 1).
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The prices for different lengths of ribbon sold at a fabric store are shown in the table.
Which statement best justifies whether or not the relationship between the length and price represents a function?
the correct option is the last option, the table represents a function because no length of ribbon has more than one price.
What is a function?
A function is a relationship that maps elements from a set, the domain (set of the inputs), into elements from another set, the range (set of the outputs).
Such that each element of the domain can be mapped into only one element of the range.
If we look at the table, we can see that each input (length of ribbon) is mapped into only one output (price). Then we conclude that this table represents a function.
Then the correct option is the last option, the table represents a function because no length of ribbon has more than one price.
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The simple interest on certain principal is 1/2 of the amount in 5years. find the rate of interest
Answer:
10
Step-by-step explanation:
Coordinates of G=(,),() and H=(,)(,)
Help Me please! Thankss
The coordinates of the missing points G. and H are G(a, y) and H(a,0) respectively
What is a right angles triangle?A right angled triangle is a triangle that has 3 sides and angle with one of its angles to be 90 degrees.
From the given triangle, the measure of the x-coordinate point of G and H will be equal.
Since the line GH intersects the x-axis and the point where the line intersects the x-axis is where y = 0, hence the coordinate H is (a, 0) and the measure of G is (a, +y)
The y-value of G can be any positive value on the y-axis
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Which answer choice has the set of numbers ordered correctly from least to greatest
Its 1.71, 1 3/4, pie, 16/9
Answer: 1.71, 1 3/4, 16/9, pie
Step-by-step explanation: We convert all the numbers to improper fractions. 1.71 = 171/100. 1 3/4 = 175/100 because 3/4 is 0.75. pi is 3.14... which is larger than all of the other numbers. So, pi is the largest. For 16/9, we can just divide to find the solution. Once you divide, you will notice that the answer is 1.77777777... This means that it is larger than 1.71 and 1.75 so 16/9 is the second largest. 1.71 is smaller than 1.75 so the order is 1.71, 1 3/4, pie, 16/9
Find the measure of arc IK if theta equals 58°
Check the picture below.
an irrational number is one that simply can not be worked into any equation.
true or false
Answer:
it can be use in equation
An irrational number is a number that cannot be expressed as a fraction for any integers and. . Irrational numbers have decimal expansions that neither terminate nor become periodic.
Define the singular matrix.
Answer:
A square matrix whose determinant is equal to zero is called singular matrix.
[tex]\huge \mathbb{ \underline{ANSWER:}}[/tex]
[tex]\leadsto[/tex] So the square matrix that has its det zero and its inverse is not defined is called a singular matrix.
[tex]\bold{Example:}[/tex]
[tex]\begin{bmatrix} \sf{3} & \sf{6} \\ \sf{2} & \sf{4}\end{bmatrix} \\ \\ \sf and \\ \begin {bmatrix} \sf{ 1} & \sf2 & { \sf2} \\ { \sf1} & { \sf2} & \sf{2} \\ \sf{3} & \sf {2} & \sf{1}\end{bmatrix}[/tex]
[tex]\huge \mathbb{ \underline{EXPLANATION:}}[/tex]
A singular matrix is a square matrix if its determinant is O. i.e., a square matrix A is singular if and only if det A = 0. The formula to find the inverse of a matrix is
▪ [tex] \bold{ {A}^{1} = \dfrac{1 \: }{det \:A } adj[A] }[/tex]
So if det A = 0 then the inverse of A will be not defined.
Prove the identity.
tan^5x = tan x (sec² x - 2 sec² x + 1)
goal:tan^5x=tanx(sec²x-2sec²x+1)
proof: from l.h.s to r.h.s
tan^5x=(tanx)^5=((tanx)(tan²x)(tan²x))
from trigonometry identity
(tan²x)=sec²x-1
tan^5x=(tanx(sec²x-1)(sec²x-1))
=(tanx(sec^4x-sec²x-sec²x+1))
=(tanx(sec^4x-2sec²x+1))
proved
2. Five times a number is equal to the same number increased by 8.
Answer:
the number is 2
Step-by-step explanation:
5x = x + 8
5x - x = 8
4x = 8
x = 8/4
x = 2
a man is three times as old as his son. In ten years time, the man will be two times as old as his. Find the age of the son and the father
Answer:
age of son= X
Father's age =3x
After 10 years , father's age= 3x +10
Son's age = X+10
Operations:
3x + 10 =2(x + 10 )
3x + 10 = 2x + 20
X= 10
Therefore, present age of son= 10 years
Father's present age = 30 years
After 10 years son will be 20 years and the father 40 yes which is double
Please help! I need an answer to both questions.
A company currently pays a dividend of $2.6 per share (d0 = $2.6). it is estimated that the company's dividend will grow at a rate of 24% per year for the next 2 years, and then at a constant rate of 8% thereafter. the company's stock has a beta of 1.8, the risk-free rate is 7.5%, and the market risk premium is 4.5%. what is your estimate of the stock's current price?
The current value of the stock is $53.413455.
What is the CAMP model?The CAMP model describes the relationship between systemic risk, or the general dangers of investing, and projected return on assets, specifically stocks.To find the current price of stock:
Stock’s current price: 53.41 dollars
First, we determine the stock's value using the CAPM model.
Ke = rf + (rm - rf)risk free, rf = 0.085.premium market = (rm - rf) = 0.045(nondiversifiable risk) = 1.3Then, Ke = 0.085 + 1.3(0.045).
Ke = 0.14350The current value of the future dividends must now be known:
D0 = 2.8D1 = D0 x (1 + g) = 2.8 * 1.23 = 3.444D2 = 3.444 x 1.23 = 4.2361200The next dividends, which are at perpetuity will be solved using the dividend growth model:
dividends/return-growth = Intrinsic valueIn this case, dividends will be:
4.23612 x 1.07 = 4.5326484Return will be calculated using the CAPM and g = 7%.
plug this into the Dividend grow model,
4.53264840.1435-0.07 = Intrinsic ValueValue of the dividends at perpetuity: 61.6686857Finally, it's crucial to remember that these statistics were calculated for the present year.
We must bring them to the present day using the present value of a lump sum:
principal/(1 + rate)time = PV3.444/(1 + 0.1435)1 = PV3.011805859 = PV4.23612/(1 + 0.1435)2 = PV3.239633762 = PV61.6686857/(1 + 0.1435)2 = PV47.16201531 = PVWe add them and get the value of the stock, 53.413455
Therefore, the current value of the stock is $53.413455.
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The volume of the fish tank needs to be tripled. What scale factor should be applied to the dimensions to produce a fish tank with three times the volume
Answer:
assuming it's a perfect world and that the fish lives in a 1 cubic meter fish tank 1*1.4422 will increase the volume my a factor of 3
50 points to whoever can answer!
Answer:
10724.29
Step-by-step explanation:
mean means average
so to find an average you add everything together then divide it by the amount of variables
m = (10150 + 10211 + 10424 + 10769 + 10884 + 11155 + 11477)/7
m = 75070/7
m = 10724.2857143
m = 10724.29
X=
Help me please asap! Thanks so much :)
Suppose a is jointly proportional to b and c. if a=4 when b=8 and c = 9, then what is a when b=2 and c=18
From the given information, a exists jointly proportional to b and c.
then [tex]$$a \propto b c$[/tex]
Therefore, the value of a exists 2.
What is the value of a?Given, a exists jointly proportional to b and c.
[tex]$$a \propto b c$[/tex]
Taking K as the constant of proportionality.
a = K b c
For b = 8 and c = 9, the value of a = 4
4 = K(8)(9)
4 = 72 K
Dividing the equation by 72, we get
[tex]$K=\frac{1}{18}[/tex]
Using the value of K in the equation:
[tex]$a=\frac{b c}{18}[/tex]
Substitute the values of b = 2 and c = 18, in the above equation
[tex]$a=\frac{2 \times 18}{18} \\[/tex]
a = 2
Therefore, the value of a exists 2.
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The following two points are on a line: (2,3), (-2,5). What is the slope of the line?
Answer:
D
Step-by-step explanation:
slope = rise / run
slope = (5 - 3) / (-2 - 2)
slope = 2 / -4
slope = -2 / 4
slope = -1/2
Can someone point out in which step I made a mistake in and what the mistake was? (I know the answer is 1,980, but I somehow managed to get 360 using these steps which seem logical, and I don't know where I went wrong).
The value of the product expression 6 * 330 is 1980
How to evaluate the product?The product expression is given as:
6 * 330
Express 330 as the product of 33 and 10
6 * 330 = 6 * 33 * 10
Express 33 as the product of 3 and 11
6 * 330 = 6 * 3 * 11 * 10
Evaluate the product of 6 and 3
6 * 330 = 18 * 11 * 10
Evaluate the product of 11 and 10
6 * 330 = 18 * 110
Evaluate the product of 18 and 110
6 * 330 = 1980
Hence, the value of the product expression 6 * 330 is 1980
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18
Which point is located at (-0.5.0.75)?
N
00
M
Opoint B
point G
point M
G
B
X
Answer:
Point Z
Step-by-step explanation:
Since the scale is one, first you go 0.5 to the left (-0.5 X) then you go 0.75 up (0.75 Y) then you have your answer.
Differentiation of x raised to the power of x
Answer:
[tex] {x}^{x} (1 + log(x)) [/tex]
I hope this helps you.
Help me! mark brainliest 10 pts please!
Answer:
A) the fraction of the week that Jamaar spent in this garden.
10. The product of -2 and a number n is increased by 15. The result is greater than 3. Choose the inequality that represents the solution set to the problem. A. n>6/ B. n-6 D. n
Answer:
-2n+15>3
Step-by-step explanation:
What is the equation of the line through (1, 6) and (0, 2)?
Y=4x - 2
Y= -4x - 2
Y= -4x + 2
Y= -4x + 2
Answer: Y = 4x + 2
(It would be either the third or fourth choice since they are the same, one of them must be mistaken)
Step-by-step explanation:
Given information
(x₁, y₁) = (1, 6)
(x₂, y₂) = (0, 2)
Find the slope through the formula
[tex]Slope~=~\frac{y_2~-~y_1}{x_2~-~x_1}[/tex]
[tex]\Large Slope~=~\frac{2~-~6}{0~-~1}[/tex]
[tex]\Large Slope~=~\frac{-4}{-1}[/tex]
[tex]\Large Slope~=~4[/tex]
Substitute values into the linear form
Equation: y = mx + b
Point (0, 2)
y = mx + b
(2) = (4) (0) + b
2 = 0 + b
b = 2 - 0
b = 2
Therefore, the equation is [tex]\Large\boxed{y=4x+2}[/tex]
Hope this helps!! :)
Please let me know if you have any questions
Answer:
y = 4x+2
Step-by-step explanation:
The first step is to find the slope
m = ( y2-y1)/(x2-x1)
m = ( 2-6)/(0-1)
= -4/-1
= 4
The slope intercept form of the equation is
y = mx+b where m is the slope and b is the y intercept
y = 4x+b
The y intercept is where x is equal to 0
The y intercept is 2
y = 4x+2
In what percentage of such groups (of 400) would 150 or fewer improve? round your answer to one decimal place
The percentage of such groups (of 400) would 150 or fewer improve is 16.60.
The percentage is a relative value indicating the hundredth component of any quantity. One percent (symbolized 1%) is the 100th element; as a result, 100 percent represents the entirety and 2 hundred percent specifies twice the given amount. percentage.
As finding 10% of a variety of means to divide through 10, it is not unusual to assume that to locate 20% of a variety you must divide through 20 and so on. Take into account, to discover 10% of the number of manner dividing through 10 because 10 is going into one hundred ten times. consequently, to discover 20% of various, divide via five due to the fact 20 is going into 100 five times.
In arithmetic, a percentage is a number or ratio expressed as a fraction of one hundred. it's far frequently denoted by the usage of the percentage signal, "%", although the abbreviations "pct.", "pct" and on occasion "computer" also are used. A percent is a dimensionless wide variety; it has no unit of size.
In what percentage of such groups (of 400) would
150
fewer improve?
i. e. PC X ≤ 150)
By using
-continuity correction we have to find.
PCX 150.5)= P "X-M1.6.150.5-160°
9.8
= p[ 2 < -0.97
By using the standard Normal table we get,
0.1660
P(X ≤150)
= 0. 1660 = 16.60 (
16.60 percent of such groups (of 400) would 150
fever improve.
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