The length of the rectangle is 28 feet, and the width is 58 feet.
How to find the length and width of the rectangle?We know that for a rectangle of length L and width W, the perimeter can be written as:
P = 2*(L + W)
Here we know that the perimeter is 172 ft, then we can write:
172 ft = 2*(L + W)
And we know that the length is an integer:
L = x
And the width is two times the next integer:
W = 2*(x + 1)
Then we can replace these two in the perimeter equation so we get:
172 = 2*(x + 2*(x + 1))
172 = 2*(x + 2x + 2)
172 = 6x + 4
172 - 4 = 6x
168 = 6x
168/6 = x
28 = x
So we have:
Length = x = 28 ft
Width = 2*(x + 1) = 2*(29) ft = 58ft
Learn more about perimeters:
https://brainly.com/question/24571594
#SPJ1
The the length and width of the rectangle are 43 feet and 129 feet
What is a perimeter?Perimeter is the distance round an object, The rectangle is a polygon that has four sides and some of its angles is equal to 360 degrees
The given parameters that will help us to find the values of the length and width of the rectangle are
Perimeter = 172
The length is an integer = 2
The width is 2 times the next consecutive integer = 2(3) = 6
The ratio of the sides of the rectangle is
W = 2/8 *172 = 43
Length = 6/8*172 = 129
Therefore length and the width of the rectangle are 43 feet and 129 feet
Learn more about perimeter of rectangles on https://brainly.com/question/29595517
#SPJ1
The water was pumped out of a backyard pond. What is the domain of this graph?
quick answer (A)
ALL real numbers less than or equal to 8
the graph of the derivative of a function f crosses the x-axis 3 times. what does this tell you about the graph of f
Answer:
the graph of f has 3 turning points
Step-by-step explanation:
The graph of a function has a turning point (local extreme) where the derivative is zero and changes sign.
DerivativeThe derivative of a function tells you the slope of that function's graph. When the derivative is positive, the function is increasing. When the derivative is negative, the function is decreasing.
Turning PointWhere the derivative changes sign from positive to negative, the graph of the function changes direction from increasing to decreasing. At the point where the derivative is zero (between positive and negative), the graph is neither increasing nor decreasing. A tangent to the function at that point is a horizontal line, and the function itself is at a local maximum, a turning point.
The reverse is also true. When the derivative changes sign from negative to positive, the function changes from decreasing to increasing. The turning point where that occurs is a local minimum.
3 CrossingsIf the derivative crosses the x-axis (changes sign) 3 times, then there are three local extremes in the graph of f. The graph of f has 3 turning points.
__
Additional comment
In the attached graph, we have constructed a derivative function (red) that crosses the x-axis 3 times. It is the derivative of f(x), which is shown in blue. The purpose is to show the local extremes of f(x) match the zero crossings of the derivative.
ا سکول کے پرنسپل کے نام سکول میں ہم نصابی سرگرمیوں کا اہتمام کرنے کی درخواست ھیے ۔
Answer:
Step-by-step explanation:
how do you graph y=12/x
Answer: [tex]\frac{12}{x}[/tex] is an asymptote
Step-by-step explanation:
Apply a table, and plug in values of x into the equation. For example f(2)=[tex]\frac{12}{2} =6[/tex]. That's one of the points on the graph that we just found (2,6)
Someone help me please
Answer:
2√10
Step-by-step explanation:
We can use the Pythagorean theorem to solve this because it is a right triangle. a^2+b^2 = c^2
7^2-3^2 = x^2
49-9 = x^2
40 = x^2
√4*√10 = 2√10
2. Rotate the following points 180°.
a.) B(-2,-5) →B'( )
b.) B(-4,1) B'( )
c.) In the graphs above connect the pre-image point B to the origin. Then connect
the origin to the image point B. What angle has been formed?
Answer:
hi helo bol ke gatu jama gol ke
In a math class of $30$ students, $12$ out of $15$ girls are freshmen and $11$ out of $15$ boys are freshmen. What is the probability that in a randomly selected group of five students from the class, there will be two freshmen girls and three freshmen boys
The probability of selecting five students from the class, where there will be two freshmen girls and three freshmen boys is 0.23 approximately.
What is Probability ?Probability is the game of chance. Probability of an event is the ratio of the required outcome to the total possible outcome.
Given that In a math class of 30 students, 12 out of 15 girls are freshmen and 11 out of 15 boys are freshmen. In Probability, the word "and" means multiplication
The probability that in a randomly selected group of five students from the class, there will be two freshmen girls and three freshmen boys can be expressed as follow
12/15 x 11/14 x 11/15 x 10/14 x 9/13
132/210 x 990/2730
130680/573300
0.2279
Therefore, the probability that in a randomly selected group of five students from the class, there will be two freshmen girls and three freshmen boys is 0.23 approximately.
Learn more about Probability here: https://brainly.com/question/24756209
#SPJ1
Determine the missing coordinate in the ordered pair (?,5) so that it will satisfy x+6y=18
Please help with this
Answer:
the answer is 8
Step-by-step explanation:
thats what i got
F(x)= x(x+3)(x+1)(x-4) has zeros at x=-3
Answer: C) Sometimes positive; sometimes negative
============================================================
Explanation:
Pick a value between x = -1 and x = 0. Let's say we go for x = -0.5
Plug this into f(x)
f(x) = x(x+3)(x+1)(x-4)
f(-0.5) = -0.5(-0.5+3)(-0.5+1)(-0.5-4)
f(-0.5) = -0.5(2.5)(0.5)(-4.5)
f(-0.5) = 2.8125
We get a positive value.
This shows that f(x) is positive on the region of -1 < x < 0
----------------
Now pick a value between x = 0 and x = 4. I'll use x = 1
f(x) = x(x+3)(x+1)(x-4)
f(1) = 1(1+3)(1+1)(1-4)
f(1) = 1(4)(2)(-3)
f(1) = -24
Therefore, f(x) is negative on the interval 0 < x < 4
----------------
In short, f(x) is both positive and negative on the interval -1 < x < 4
It's positive when -1 < x < 0
And it's negative when 0 < x < 4
Answer:
sometimes positive sometimes negative
Step-by-step explanation:
I did it on Khan Academy
An account pays 8% per year simple interest. in year 1, the amount in the account is $850. how much is in the account in year 6?
Answer:
Step-by-step explanation:
$1,248.92
find the exact value of sin (x-y) if sinx=4/9 and siny=1/4
Answer:
sin(x - y) = 0.21
Step-by-step explanation:
we have the sin values which we need to get cos values
sin (A-B) = sin A cos B - sin B cos A
sin² A + cos² A = 1
sin x = 4/9
cos² x = 1 - sin² x = 1 - 16/81 = 65/81
cos² x = 65/81
cos x = √65/9
sin y = 1/4
cos² y = 1 - sin² y = 1 - 1/16 = 15/16
cos² y = 15/16
cos y = √15/4
sin(x − y) = sin x cos y - sin y cos x
sin(x - y) = 4/9 √15/4 - 1/4 √65/9
sin(x - y) = (4√15-√65)/36
sin(x - y) = 0.21
socratic Narad T
Answer: C
Step-by-step explanation:
on edg
Alek is taking an inventory of styles of compression bandages for work. Here is the data he has collected.
The individuals in this data set that can be gotten is B) Compression bandage styles and this data set contains A) 3 variables, 1 of which is categorical.
What is categorical variable ?A categorical variables serve as the variable type that posses two or more categories.
This categories could be nominal variable, however considering the data , we can see that the first two are quantitative data and the data are:
WidthTotal lengthColorTHE COMPLETE QUESTION IS:
Alek is taking an inventory of styles of compression bandages for work. Here is the data he has collected.
The individuals in this data set are:Choose 1 answer:
A) Blood Centers
B) Compression bandage styles
C) Nurses
This data set contains:Choose 1 Answer:
A) 3 variables, 1 of which is categorical
B) 3 variables, 3 of which are categorical
C) 6 variables, 1 of which categorical
D) 6 variables, 3 of which are categorical
Learn more about data at:
https://brainly.com/question/17313088
#SPJ1
Calculate the first difference between 7, and where 7,-688. 2
The difference between the numbers given is 6.882.
How to illustrate the information?Based on the information given, it should be noted that difference means subtraction.
The difference between the numbers given will be:
= 7 - (7 - 6.882)
= 7 - 0.118
= 6.882
Learn more about difference on:
brainly.com/question/148825
#SPJ1
(4x⁴-4x²-x-3) ÷ (2x²-3)
so far i have 2x²+1+?/2x²-3
what is the question mark?
Answer:
[tex]2x^2+1-\dfrac{x}{2x^2-3}[/tex]
Step-by-step explanation:
Use the long division method to divide polynomials:
[tex]\large \begin{array}{r}2x^2\phantom{)))))}+1\phantom{)}\\2x^2-3{\overline{\smash{\big)}\,4x^4-4x^2-x-3\phantom{)}}}\\\underline{-~\phantom{(}(4x^4-6x^2)\phantom{-b))))))}}\\0+2x^2-x-3\phantom{)}\\\underline{-~\phantom{()}(2x^2\phantom{))))}-3)}\\-x\phantom{))))))}\end{array}[/tex]
Therefore:
[tex]\dfrac{4x^4-4x^2-x-3}{2x^2-3}=2x^2+1-\dfrac{x}{2x^2-3}[/tex]
Speedy Swift is a package delivery service that serves the greater Atlanta, Georgia, metropolitan area. To maintain customer loyalty, one of Speedy Swift's performance objectives is on-time delivery. To monitor its performance, each delivery is measured on the following scale: early (package delivered before the promised time), on-time (package delivered within 15 minutes of the promised time), late (package delivered more than 15 minutes past the promised time), or lost (package never delivered). Speedy Swift's objective is to deliver 99% of all packages either early or on-time.
Speedy collected the following data for last month's performance:
On-time On-time Early Late On-time On-time On-time On-time Late On-time
Early On-time On-time Early On-time On-time On-time On-time On-time On-time
Early On-time Early On-time On-time On-time Early On-time On-time On-time
Early On-time On-time Early Early Early On-time Loss On-time Early
Late Late Late On-time On-time On-time On-time On-time On-time On-time
On-time Late Early On-time Early On-time Lost On-time On-time On-time
Early Early On-time On-time Late Early Early On-time On-time On-time
On-time On-time Early On-time Early On-time Early On-time Late On-time
On-time Early On-time On-time On-time Late On-time Lost On-time On-time
On-time On-time On-time On-time On-time Early Early On-time On-time On-time
(a) What scale is used to measure delivery performance? What kind of variable is delivery performance?
(b) Construct a frequency table for delivery performance for last month.
(c) Construct a relative frequency table for delivery performance last month.
(a) The scale used in the analysis is qualitative as the data is not assigned any numeric value.
The daily performance is an ordinal variable, as the values assigned are ranked according to an order of the delivery time.
(b) The frequency table of the given data is:
Variable Frequency
Early 23
On-time 65
Late 9
Lost 3
Total 100.
(c) The relative frequency table for the given data is:
Variable Frequency Relative frequency
Early 23 23/100 = 0.23 = 23%
On-time 65 65/100 = 0.65 = 65%
Late 9 9/100 = 0.09 = 9%
Lost 3 3/100 = 0.03 = 3%
(a) The scale used in the analysis is qualitative as the data is not assigned any numeric value.
The daily performance is an ordinal variable, as the values assigned are ranked according to an order of the delivery time.
(b) The frequency table is a table showing frequency of each variable for the number of times they appear in the data.
The frequency table of the given data is:
Variable Frequency
Early 23
On-time 65
Late 9
Lost 3
Total 100.
(c) The relative frequency for a variable is the ratio of its frequency to the total frequency.
The relative frequency table for the given data is:
Variable Frequency Relative frequency
Early 23 23/100 = 0.23 = 23%
On-time 65 65/100 = 0.65 = 65%
Late 9 9/100 = 0.09 = 9%
Lost 3 3/100 = 0.03 = 3%
Learn more about data analysis at
https://brainly.com/question/18160243
#SPJ4
Answer:
C.
Step-by-step explanation:
The area of a sector of a circle of radius 8cm is 45cm². Find the size of the angle subtended at the centre of the circle, correct to one decimal place. (Take π = 22/7)
The size of the angle subtended at the center of the circle is θ = 80.5397°
What is the Area of the Sector?In circles, a sector is said to be a part of a circle made of the arc of the circle together with its two radii. This means that it is a portion of the circle formed by a portion of the circumference (arc) and radii of the circle at both endpoints of the arc.
The formula for Area of a sector is given as;
A = θ/360 x πr²
where;
θ is the central angle of the sector
r is radius
Given data ,
The area of a sector of a circle of radius 8cm is 45cm²
On simplifying , we get
A = θ/360 x πr²
45 = θ/360 ( 22/7 ) ( 8 )²
45 = ( θ/360 ) ( 201.1428 )
Divide by 201.1428 on both sides , we get
( θ/360 ) = 0.22372159
Multiply by 360 on both sides , we get
θ = 80.5397
Hence , the angle is θ = 80.5397°
To learn more about area of sector click :
https://brainly.com/question/28180776
#SPJ2
Quadrilateral A'B'C'D' is the result of rotating quadrilateral ABCD by 60 about
the origin
y
0
Select all of the correct statements about the unchanged properties of quadrilateral
ABCD and quadrilateral A'B'C'D.
Choose all answers that apply.
O
B
3 4/5 6
BC and BC are both parallel to the y-axis
2B and B' have the same measures.
D and D' have the same coordinates.
None of the above
Activate
Answer: B
Step-by-step explanation:
A) False. Rotations do not preserve parallelism.
B) True. Rotations are rigid motions and thus preserve angle measure.
C) False. A rotation that changes the location of every point except for the center of rotation.
terrell watched 300 dogs being groomed. He found that 0.35 of the groomed dogs tried to bite the groomer. what percent of dogs did not try to bite the groomer?
The percentage of dogs who didn't try to bite the groomer is; 65%.
What is the percentage of dogs that did not try to bite the groomer?If follows from the task content that the number of dogs is 300 of which, 0.35 faction of the whole tried to bite the groomer.
Hence, the faction that did not try to bite the groomer is; 0.65 which corresponds to 65% when expressed as a percentage.
Read more on percentages;
https://brainly.com/question/24304697
#SPJ1
there are three red marbles 5 green marbles 2 blue marbles in a bag which of the follwing are true
Answer:
4 and 1
Step-by-step explanation:
determine the fall (drop) on 20' of drainage piping with a 1/4" per ft. grade
The Fall (drop) of drainage piping is: A. 5".
Fall (drop) of drainage pipingIn order to determine the fall (drop) of drainage piping we would need to multiply the drainage piping by the inch per feet.
Hence:
Using this formula
Fall (drop) of drainage piping = Drainage piping× inch per feet
Where:
Drainage piping=20
Inch per feet=1/4"
Let plug in the formula
Fall (drop) of drainage piping =20×1/4"
Fall (drop) of drainage piping =5"
Therefore the correct option is A. 5".
Learn more about Fall (drop) of drainage piping here:https://brainly.com/question/1084949
#SPJ1
the number 40 cannot be decomposed into prime factors
True
either
False
[tex]\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: {\large{\textsf{\textbf{\underline{\underline{Answer : \:}}}}}}[/tex]
False, because the number 40 is a composite number, those that cannot be broken down are called Prime Numbers.
Prime numbers are numbers that are used to decompose any number, but prime numbers cannot be decomposed, since they only have two Divisors, which are 1 and itself.
[tex]~\sf{Atte: Murdock:)}[/tex]
Answer: False
Step-by-step explanation:
All whole numbers can be decomposed into prime factors. For the number 40, the prime factorization would be [tex]2 * 2 * 2*5[/tex]. Since all 4 of those numbers are prime numbers, the answer is false.
The ratio of two numbers is 2/3, and their sum is 535. One of the numbers is:
(Select one)
A. 242
B. 321
C. 667
D. 408
One of the numbers would be 321. Hence option B is true.
Used the concept of the Number system that states,
A writing system used to express numbers is known as a number system. It is the mathematical notation used to consistently express the numbers in a particular set using digits or other symbols.
Given that,
The ratio of the two numbers is 2/3, and their sum is 535.
Let us assume that,
The two numbers are x and y.
Hence we have;
[tex]\dfrac{x}{y} = \dfrac{2}{3}[/tex] .. (i)
And, [tex]x + y = 535[/tex] .. (ii)
From equation (i);
[tex]\dfrac{x}{y} = \dfrac{2}{3}[/tex]
[tex]x = \dfrac{2y}{3}[/tex]
Substitute the above value of x in (ii);
[tex]x + y = 535[/tex]
[tex]\dfrac{2y}{3} + y = 535[/tex]
[tex]2y + 3y = 535 \times 3[/tex]
[tex]5y = 1605[/tex]
[tex]y = 321[/tex]
From equation (i);
[tex]x = \dfrac{2y}{3}[/tex]
[tex]x = \dfrac{2\times 321}{3}[/tex]
[tex]x = 214[/tex]
Therefore, the number is 321. So option B is true.
To learn more about the Number system visit:
https://brainly.com/question/17200227
#SPJ4
In a survey of 300 college graduates, 46% reported that they entered a profession closely related to their college major. If 9 of those survey subjects are randomly selected without replacement for a follow-up survey, what is the probability that 3 of them entered a profession closely related to their college major
Probability is 17.5% that 3 of them entered a profession closely related to their college
According to the statement
we have given that survey of 300 college graduates, 46% reported that they entered a profession closely and
We know that For each college graduate, there are only two possible outcomes. Either they have entered a profession closely related to their college major, or they have not. The probability of a college graduate having entered a profession closely related to their college major is independent of other college graduates, so we use the binomial probability distribution to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
This is P(X = 3) when n = 8. and the value of p is 0.46 put the value in the binomial formula then the outcome of answer will 17.5%
So, Probability is 17.5% that 3 of them entered a profession closely related to their college
Learn more about Binomial here https://brainly.com/question/13602562
#SPJ4
(14x2 + 13x + 12) + (7x2 + 20x + 4)
Answer:
21x^2 + 33x + 16
Step-by-step explanation:
(14x^2 + 13x + 12) + (7x^2 + 20x + 4)
Combine like terms:
14x^2 + 7x^2 = 21x^2
13x + 20x = 33x
12 + 4 = 16
Thus:
21x^2 + 33x + 16
Answer:
21x^2 + 33x + 16.
Step-by-step explanation:
(14x2 + 13x + 12) + (7x2 + 20x + 4) Remove the parentheses:
= 14x2 + 13x + 12 + 7x2 + 20x + 4 Bring like terms togethher:
= 14x^2 + 7x^2 + 13x + 20x + 12 + 4
= 21x^2 + 33x + 16.
Which expression is equivalent to startfraction 3 x superscript negative 6 baseline y superscript negative 3 baseline over 15 x squared y superscript 10 baseline endfraction? assume x not-equals 0, y not-equals 0
The equivalent expression of [tex]\frac{3x^{-6}y^{-3}}{15x^2y^{10}}[/tex] is [tex]\frac{1}{5x^{8}y^{13}}[/tex]
How to determine the equivalent expression?The expression is given as:
[tex]\frac{3x^{-6}y^{-3}}{15x^2y^{10}}[/tex]
Divide 3 and 15 by 3
[tex]\frac{x^{-6}y^{-3}}{5x^2y^{10}}[/tex]
Apply the law of indices
[tex]\frac{1}{5x^{2+6}y^{10+3}}[/tex]
Evaluate the sum
[tex]\frac{1}{5x^{8}y^{13}}[/tex]
Hence, the equivalent expression of [tex]\frac{3x^{-6}y^{-3}}{15x^2y^{10}}[/tex] is [tex]\frac{1}{5x^{8}y^{13}}[/tex]
Read more about equivalent expression at:
https://brainly.com/question/2972832
#SPJ1
Consider a circle whose equation is x2 + y2 – 2x – 8 = 0. Which statements are true? Select three options.
The radius of the circle is 3 units.
The center of the circle lies on the x-axis.
The center of the circle lies on the y-axis.
The standard form of the equation is (x – 1)² + y² = 3.
The radius of this circle is the same as the radius of the circle whose equation is x² + y² = 9.
The center of the circle lies on the x-axis
The radius of the circle is 3 units.
The radius of this circle is the same as the radius of the circle whose equation is x² + y² = 9.
How to determine the statements
The standard equation of a circle is expressed as:
[tex]x^2 + y^2 + 2gx + 2fy + C = 0[/tex]
Where
Centre is (-g, -f)radius = √g²+f²-CGiven a circle whose equation is
Let's get the center of the circle
2gx = -2x
2g = -2
We have that;
g = -1
Similarly, 2fy = 0
given that
f = 0
Centre = (-(-1), 0) = (1, 0)
This explains that the center of the circle lies on the x-axis
We move further to the radius
r = radius = √g²+f²-C
radius = √1²+0²-(-8)
radius =√9
= 3 units
The radius of the circle is 3 units.
For the circle x² + y² = 9, the radius is expressed as:
r² = 9
r = 3 units
Hence the radius of this circle is the same as the radius of the circle whose equation is x² + y² = 9.
Learn more about circles here:
https://brainly.com/question/15673093
#SPJ1
a pot contains 5 black beads and 7 white beads.another pot contain 6 white beads. if one beads is drawn from each pot without looking, what will be the probability of getting atleast one white beads?
Step-by-step explanation:
is there something missing in the question ?
or is this meant to be a trick question ?
let me repeat :
pot1 contains 5 black and 7 white beads
pot2 contains 6 white beads (and nothing else, right ?)
then one bead is drawn from each pot.
so, 1 bead from pot1, and 1 bead from pot2.
the bead from pot1 is either white or black.
the bead from pot2 is white for sure.
so, the probability to get at least 1 white bead is 100% or 1, as there will be always the white bead taken from pot2.
What three-dimensional object would be generated by the rotation of the semi circle about the x axis ?
If a semicircle is rotated about the x axis of the graph then the resulting three dimensional shape will be a sphere.
Given a semicircle on a graph.
A semicircle is a half circle .A sphere is a geometrical object that is a three dimensional shape , It is the set of points that are all at the same distance r from given point in three dimensional shape.
Rotation is basically an action of rotating around an object or an axis.
If a semicircle is rotated about x axis then the resulting figure will be a sphere. This is because of the fact that when the semi circle is rotated about the x axis then all the points will be at equal distance in all directions from the center.
Hence if a semicircle is rotated about x axis then the resulting figure will be a sphere.
Learn more about sphere at https://brainly.com/question/1293273
#SPJ4
The number 321.8 is 34% of x. What is the value of x rounded to the nearest whole number?
Answer:
946
Step-by-step explanation:
Let's make an equation :
34% of x = 321.8
Covert 34% into decimal by dividing by 100 :
34 ÷ 100 = 0.34
Rewrite equation with decimal form :
0.34x = 321.8
Divide both sides by x to make x the subject :
x = 321.8 ÷0.34
x = 946.470588235
To the nearest whole number will be 946 as 4 rounds it down
So our final answer will be 946
Hope this helped and have a good day
[tex] {\qquad\qquad\huge\underline{{\sf Answer}}} [/tex]
Here we go ~
[tex]\qquad \sf \dashrightarrow \: \dfrac{34}{100} \sdot x = 321.8[/tex]
[tex]\qquad \sf \dashrightarrow \: x = \cfrac{(321.8) \sdot(100)}{34} [/tex]
[tex]\qquad \sf \dashrightarrow \: x = 946.47[/tex]
Round off to nearest whole number :
[tex]\qquad \sf \dashrightarrow \: x = 946[/tex]