Write an example problem(s) for area.
Answer:
Example 1.
A square with side lengths of 5.
5*5 = 25.
So the area would be 25 units ^2
Example 2.
A rectangle with a length of 9 and a width of 4
9*4 = 36
So the area is 36 units ^2
What was the experimental probability of choosing a blue marble from a bag?
Answer:
7/20
Step-by-step explanation:
There were 20 tries, and 7 of them(blue picks) were desired outcomes.
19. True or false: If the n columns of S (eigenvectors of A) are independent, then (a) A is invertible. (b) A is diagonalizable. (c) S is invertible. (d) S is diagonalizable
When n columns of S (eigenvectors of A) are independent, then:
(a) A is invertible is a false statement.
(b) A is diagonalizable is a true statement
Why is A not invertible?Others are:
(c) S is invertible true statement.
(d) S is diagonalizable false statement.
Note that if n columns of S (eigen vectors of A) are said to be independent.
One can deduce or see that the eigen vector that is similar to the eigen value is said to be = 0 and one can say it is linearly independent when viewed with the other eigen vectors of A.
But because to the zero eigen value of A, we see that the determinant of A is the output of eigen values of A which is = 0 and as such, A is not invertible.
So, the linear independence of eigen vectors will not be able to find the invertibility of A and as such A is diagonalizable.
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Express the following in p/q form, where p and q are integers and q is not equal to 0.
(i) 1.272727..... (ii) 0.1282828.......
pls give the answer with steps
thank you!!!
(i) 1.272727...
[tex]\rightarrowtail[/tex] [tex]\boxed{\blue{\bf{1.\overline{27}}}}[/tex] [tex]\bf{i.}[/tex]
[tex]\rightarrowtail[/tex] [tex]\boxed{\blue{\bf{Let\:x\:be\:1.\overline{27}}}}[/tex]
Multiplying both the sides by 100.
[tex]\rightarrowtail[/tex] [tex]\boxed{\blue{\bf{x\:*\:100=1.\overline{27}\:*\:100}}}[/tex]
[tex]\rightarrowtail[/tex] [tex]\boxed{\blue{\bf{100x=127.\overline{27}}}}[/tex] [tex]\bf{ii.}[/tex]
Subtracting [tex]\bf{i.}[/tex] from [tex]\bf{ii.}[/tex]
[tex]\rightarrowtail[/tex] [tex]\boxed{\blue{\bf{100x\:-\:x=127.\overline{27}\:-\:1.\overline{27}}}}[/tex]
[tex]\rightarrowtail[/tex] [tex]\boxed{\blue{\bf{99x=126}}}[/tex]
[tex]\rightarrowtail[/tex] [tex]\boxed{\green{\bf{x=\dfrac{126}{99}}}}[/tex]
Reducing it to lowest form
[tex]\rightarrowtail[/tex] [tex]\boxed{\green{\bf{x=\dfrac{14}{11}}}}[/tex]
[tex]\gray{\rule{300pt}{0.3em}}[/tex]
(ii) 0.1282828...
[tex]\rightarrowtail[/tex] [tex]\boxed{\blue{\bf{0.1\overline{28}}}}[/tex]
[tex]\rightarrowtail[/tex] [tex]\boxed{\blue{\bf{Let\:x\:be\:0.1\overline{28}}}}[/tex]
Multiplying both sides by 10
[tex]\rightarrowtail[/tex] [tex]\boxed{\blue{\bf{x\:*\:10=0.1\overline{28}\:*\:10}}}[/tex]
[tex]\rightarrowtail[/tex] [tex]\boxed{\blue{\bf{10x=1.\overline{28}}}}[/tex] [tex]\bf{i.}[/tex]
Multiplying both sides by 100
[tex]\rightarrowtail[/tex] [tex]\boxed{\blue{\bf{10x\:*\:100=1.\overline{28}\:*\:100}}}[/tex]
[tex]\rightarrowtail[/tex] [tex]\boxed{\blue{\bf{1000x=128.\overline{28}}}}[/tex] [tex]\bf{ii.}[/tex]
Subtracting [tex]\bf{i.}[/tex] from [tex]\bf{ii.}[/tex]
[tex]\rightarrowtail[/tex] [tex]\boxed{\blue{\bf{1000x\:-\:10x=128.\overline{28}\:-\:1.\overline{28}}}}[/tex]
[tex]\rightarrowtail[/tex] [tex]\boxed{\blue{\bf{990x=127}}}[/tex]
[tex]\rightarrowtail[/tex] [tex]\boxed{\green{\bf{x=\dfrac{127}{990}}}}[/tex]
[tex]\gray{\rule{300pt}{0.3em}}[/tex]
Hope it helps..♪What is the quotient of (x3 – 3x2 3x – 2) ÷ (x2 – x 1)? x – 2 x 2 x – 4 x 1
The quotient of the equation is x-2.
What is the quotient?The quotient is the number that is generated when we perform division operations on two numbers. Basically, it is the result of the division method.
The given equation is;
[tex]\rm \dfrac {x^3 - 3x^2 + 3x -2}{ x^2 - x + 1}\\\\[/tex]
By fraction, a quotient is a number obtained by dividing the dividend by the divisor which is a simple division of numerator and denominator.
The solution of the equation is determined in the following steps given below.
[tex]\rm = \dfrac {x^3 - 3x^2 + 3x -2}{ x^2 - x + 1}\\\\\rm = \dfrac {( x^2 - x + 1)(x-2)}{ x^2 - x + 1}\\\\=x-2[/tex]
Hence, the quotient of the equation is x-2 .
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Gio is solving the quadratic equation by completing the square. 5x2 15x – 4 = 0 what should gio do first? isolate the constant. factor 5 out of the variable terms. isolate the variable x. add 9 to both sides of the equation.
The complete square of the given polynomial is
[tex](x+\frac{3}{2})^2=\frac{43}{12}[/tex]
What is the completing the square method?For solving the quadratic equation by completing the square, we first need to ensure that the constant of the square variable is unit.
Following are the steps involved
[tex]5x^2+15x-4=0[/tex]
divide both side by 5
[tex]x^2+3x-\frac{4}{3}=0[/tex]
add 9 on both sides of the equations
[tex]x^2+3x-\frac{4}{3}-9/4+ 9/4=0[/tex]
[tex]x^2+3x+ 9/4=\frac{4}{3}+9/4\\(x+3/2)^2=43/12[/tex]
Therefore we the complete square of the given polynomial is
[tex](x+\frac{3}{2})^2=\frac{43}{12}[/tex]
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Answer:
A
Step-by-step explanation:
How many packs of dvds can u but with 165 if one costs 15 dollars
Answer: You can buy 11 DVD’s with $165
Step-by-step explanation:
165 divided by 15= 11
If 1/5 of those in a high school are freshmen, and 40% of the freshmen are women, and 3/5 of those in the other grades are women, how many men are enrolled in the high school, given that there are 600 students altogether? a. 240.
b. 264.
c. 300.
d. 336.
e. 360
There are 264 male students in the high school containing 600 students.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
There are 600 students altogether, hence:
Number of freshmen = (1/5) * 600 = 120
Number of other graders = 600 - 120 = 480
Number of male freshmen = 120 - (0.4 * 120) = 72
Number of male other graders = (1 - 3/5) * 480 = 192
Total number of male = 72 + 192 = 264
There are 264 male students in the high school containing 600 students.
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ANSWER THIS!!!!!!!! PLEASEEEEEE!!!!! CLICK ON THIS ONE!!
The line looks like it is around 6, the square root of 61 is 7.810249675906654, so that would be the closest to our estimate.
Answer:
I think the answer is 11
Step-by-step explanation:
because if u count under the lines from one point to another u get 6
then count up from where ur at and u get 5
and then ig just add it up
6+5
look
What is the circumference of a circle with a diameter of 8 inches?
a 12.56
b 25.12
c 50.24
d 200.96
A Circle is a closed plane geometric shape figure. The diameter of a circle is the longest chord of a circle. The radius drawn perpendicular to the chord bisects the chord. A Circle is always lie at an equal distance from a center point. Circles having different radius are similar.
Circumference of Circle:The circumference of a circle is the product of pi and length of the diameter of a circle. Mathematically;
[tex]\longrightarrow \tt{Circumference_{(circle)} = \pi{D}}[/tex]
Here, D is the diameter of the circle or distance between the circle.
Elucidation:We are asked to find the circumference of the circle if the diameter is 8 inches.
We know that, The circumference of a circle is the product of pi and length of the diameter of a circle. Therefore;
[tex]\implies \tt{Circumference_{(circle)} = \pi{D}}[/tex]
[tex]\implies \tt{Circumference_{(circle)} = 3.14 \times 8}[/tex]
[tex]\implies \boxed{\pmb{\tt{Circumference_{(circle)} = 25.12}}}[/tex]
Hence, the circumference of the circle is 25.12 inches. So option (B) is correct.
Answer:
Circumference of circle = 25.12 inchesThus Option B is correct .Step-by-step explanation:
In the question we are given that diameter of circle is of 8 inches . And we have asked to find the circumference of the circle .
For finding circumference of circle we must have to know that what is the formula for finding circumference of circle. So :
[tex] \quad \quad \: \red{\underline{\pink{ \boxed{ \frak{Circumference \: of \: Circle =2 \pi r }}}}}[/tex]
Where ,
π refers to 3.14 r refers to radius of circleSolution : -
As in the question we are given length of diameter . So for finding circumference we need to find the radius of circle .
We know that diameter of circle is two times its radius ,
[tex] \qquad \: \rm {Diameter = 2 × Radius }[/tex]
So for radius we are dividing both side with 2 :
[tex]\qquad \: \rm { \dfrac{Diameter}{2} = \dfrac{ \cancel{2} × Radius}{ \cancel{2}} }[/tex]
We get that ,
[tex] \qquad \: \rm {Radius = \dfrac{Diameter}{2} }[/tex]
Therefore , we can say that radius of circle is half of its diameter .
Now using this , firstly we are finding radius of circle . So :
[tex] \longmapsto \quad \: \boxed{\rm{ Radius = \frac{8}{2} \: \: inches}}[/tex]
Therefore , radius of circle is 4 inches .Now , we are moving towards our final solution .
So ,
[tex] \longmapsto \quad Circumference_ { (Circle)} =2 \times 3.14 \times 4 [/tex]
Multiplying 2 with 3.14 :
[tex]\longrightarrow \quad Circumference_ { (Circle)} = 6.28 \times 4 [/tex]
Multiplying 4 and 6.28 :
[tex]\longrightarrow \quad \purple{{\boxed{\frak{Circumference_ { (Circle)} = 25.12\: inches }}}}[/tex]
Therefore , circumference of circle having diameter 8 inches is 25.12 inches and hence option b is correct .#Keep LearningThis is math. Please help due soon.
Answer:
A (0,6) B (6, 1) C (2,2)
Step-by-step explanation:
A (4, 4)
[-4, 2]
Subtract 4 - 4 = 0 and then add 4+2 since both of them are positive. Do it for all of the coordinates
Image Coordinates:
A----->A¹(0,6)
B----->B¹(2,3)
C----->C¹(-2,4)
A bag contains 6 red marbles, 8 blue marbles and 4 green marbles. If two marbles are drawn out of the bag, what is the probability, to the
nearest 1000th, that both marbles drawn will be blue?
Please help if you can!!!
Answer:
0.111
The probability of two blue marbles being drawn from the bag to all marbles is [tex]\frac{2}{18}[/tex], and [tex]\frac{2}{18}~-- > ~0.111[/tex] rounded to nearest thousandth.
Questions?Ask in the comments box.
Someone pls help me answer this pls
Answer:
5^15
Step-by-step explanation:
Using the laws of powers, you can multiply 5^3 out of its bracket and get 5^27. Then, once again, using the laws of powers, you can get 5^15 by subtracting the powers.
Answer:
(5^3)^9/5^12 is equivalent to 5^15
Step-by-step explanation:
Begin by simplifying (5^3)^9
To make it much easier, apply the power rule. (a^x)^y = a^xy)
Multiply 3 x 9 = 27... so we get 5^27
Next, instead of dividing 27/12, which will result in a decimal..you must do 27-12, which is applying the quotient rule. (a^x / a^y = a^x-y)
5^27/5^12 = 5^27-12 = 5^15
( When I use /, it signifies to divide.)
So, (5^3)^9/5^12 is equivalent to 5^15! Hope this helps! :D
The forecast for Wednesday is literally changed to a high 70 without calculating the new mean describe have the changes that mean high temperature for the next five days
Heating and Cooling Degree Days
Degree days are based on the assumption that when the outside temperature is 65°F, we don't need heating or cooling to be comfortable. Degree days are the difference between the daily temperature mean, (high temperature plus low temperature divided by two) and 65°F. If the temperature mean is above 65°F, we subtract 65 from the mean and the result is Cooling Degree Days. If the temperature mean is below 65°F, we subtract the mean from 65 and the result is Heating Degree Days.
Step-by-step explanation: Example 1: The high temperature for a particular day was 90°F and the low temperature was 66°F. The temperature mean for that day was:
( 90°F + 66°F ) / 2 = 78°F
Because the result is above 65°F:
78°F - 65°F = 13 Cooling Degree Days
Example 2: The high temperature for a particular day was 33°F and the low temperature was 25°F. The temperature mean for that day was:
( 33°F + 25°F ) / 2 = 29°F
Because the result is below 65°F:
65°F - 29°F = 36 Heating Degree Days.
The calculations shown in the two examples above are performed for each day of the year and the daily degree days are accumulated so that we can compare months and seasons.
Convert.
pints = 61 quarts
How can we determine the difference between a pyramid and a prism? Select all that apply.
The number of vertices is always equal to the number of sides for a prism but not a pyramid.
There is only one base for a pyramid.
The faces of prisms are triangles.
The faces of pyramids are triangles.
The faces of prisms are rectangles.
The faces of pyramids are rectangles.
Answer:
B. There is only one base for a pyramid.
D. The faces of pyramids are traingles.
E. The faces of prisms are rectangles.
Step-by-step explanation:
The difference between a pyramid and a prism is:
There is only one base for a pyramid.
The faces of pyramids are triangles.
The faces of prisms are rectangles.
What is a prism?A prism is a three-dimensional object.
There are triangular prism and rectangular prism.
We have,
The number of vertices is always equal to the number of sides for a prism but not a pyramid.
The faces of pyramids are triangles while the faces of prisms are rectangles.
A prism has two parallel bases and its other faces are rectangles.
A pyramid has a single base and its faces are triangles.
A prism also has the same number of vertices as its number of sides, but this is not true for a pyramid.
Thus,
The difference between a pyramid and a prism is:
There is only one base for a pyramid.
The faces of pyramids are triangles.
The faces of prisms are rectangles.
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While mining, Joan found a large metal bar that weighed 20 ounces. Joan was also able to determine that the bar contained 65% tin. How many ounces of tin are in the metal bar? Round your answer to the nearest whole number if necessary.
(I will mark brainliest if you answer+explain)
Answer: 13 ounces
Step-by-step explanation:
To answer this question, we will find 65% of 20. A percent divided by 100 becomes a decimal that can be used to solve.
65% / 100 = 0.65
0.65 * 20 = 13
There are 13 ounces of tin in the metal bar.
Answer:
The metal bar contains 13 ounces of tin.
Step-by-step explanation:
Multiply '20 ounces' by 0.65, obtaining 13 ounces.
The metal bar contains 13 ounces of tin.
maribel surveyed 55 people to find out their favorite types of music. the results are shown in the bar graph. what percent of the people like country and opera combined?
15 people liked country, and 10 people liked opera, so 10+15 = 25.
25 people combined
Point m lies between points l and n on line segment l n . the space between l and m is 10 x 8. the space between m and n is 5 x minus 4. if ln = 12x 16, what is the length of line segment l n in units? 16 units 40 units 48 units 64 units
The length of line segment l n on which point m lines in between is 64 units. Option 4 is the correct option.
What is the length of line segment?Length of a line segment is the distance of both the ends of it.
Point m lies between points l and n on line segment l n .
The space between l and m is 10x 8. The space between m and n is 5x -4.The value of line segment LN is,
[tex]LN = 12x +16[/tex]
The sum of LM and LN is equal to the line segment LN. Thus,
[tex]LM+MN=LN\\10x +8+(5x-4)=12x+ 16\\10x +8+5x-4=12x+ 16\\10x+5x-12x=16 -8+4\\3x=12\\x=\dfrac{12}{3}\\x=4[/tex]
Put this value of x in the equation of line segment LN,
[tex]LN = 12(4) +16\\LN=48+16\\LN=64\rm\; units[/tex]
Thus, the length of line segment l n on which point m lines in between is 64 units. Option 4 is the correct option.
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Match Term Definition
Triangle A) shape created when a rectangle is rotated about the y-axis
Rectangle B) perpendicular cross section of a cylinder
Circle C) parallel cross section of a sphere
Cylinder D) perpendicular cross section of a pyramid
Cone E) shape created when a right triangle is rotated about the y-axis
Answer:
Perpendicular cross section of a pyramid ------- triangle.
Perpendicular cross section of a cylinder ------- rectangle
parallel cross section of a sphere ------ circle
shape create.... ----- cylinder.
Step-by-step explanation:
Imagine you cut pyramid like that. Height of pyramid would be height of your triangle. and sides of pyramid would be sides of triangle.
diameter of a base of cylinder would be one side of rectangle and height of cylinder would be other side of rectangle. (pair of sides)
when you cut sphere a side would apear with shape of circle.
one side of rectangle would be hight of cylinder and other would be radius of it.
last one is cone. If you place right angle in coordinate beginning (0.0) and one of shorter sides to lie on y axis other would be on x axis. when rotated you get cone.
Which is the BEST estimate for the value of x?
If you place 6 blue 3 yellow and 5 pink marbles in a bag close your eyes and choose a marble what is the probability that it will be blue
Answer:
6/14 or simplify it to 3/7
Step-by-step explanation:
this is because you have a total of 14 marbles
please answer this two math question.
Answer:
haha hut dog hahah ayoko nga
what are these shapes called?
Pyramid, rectangular prism, and triangular prism?
Answer:
the nets are for 3Dshapes
Step-by-step explanation:
the drawing shown are nets
The table below represents the data collected at a sandwich shop for the last six months with respect to the type of bread people ordered (sourdough or wheat) and whether or not they got cheese on their sandwich.
Are the events “sourdough” and “with cheese” independent events? Explain why or why not using probabilities. Show all work to receive full credit.
Answer:
First, add totals to the table (see attachment)
Let S = Sourdough
Let C = With cheese
[tex]\sf Probability\:of\:an\:event\:occurring = \dfrac{Number\:of\:ways\:it\:can\:occur}{Total\:number\:of\:possible\:outcomes}[/tex]
[tex]\implies \sf P(S)=\dfrac{1225}{3125}=\dfrac{49}{125}[/tex]
[tex]\implies \sf P(C)=\dfrac{2000}{3125}=\dfrac{16}{25}[/tex]
[tex]\implies \sf P(S \cap C)=\dfrac{800}{3125}=\dfrac{32}{125}[/tex]
For independent events S and C,
[tex]\sf P(S \cap C)=P(S)P(C)[/tex]
[tex]\sf\:As\quad P(S) \cdot P(C)=\dfrac{49}{125} \cdot \dfrac{16}{25}=\dfrac{784}{3125}[/tex]
[tex]\sf And\quad \dfrac{32}{125} \neq \dfrac{784}{3125}[/tex]
[tex]\sf Then \quad P(S \cap C)\neq P(S)P(C)[/tex]
So the events are NOT independent
What is the solution to the equation shown below ?
6=-2/5 ( p-5)
Answer:
p=-10
Step-by-step explanation:
6=-2(p-5)/5
6=-2p+10/5
x5 to both sides to get rid of denominator
30=-2p+10
-10 from both sides to get rid of it on the right
20=-2p
divide by -2 from both sides to get p by itself to know its value
20/-2=-10 so....
p=-10
if 500(.85)^x = 30(1.15)^x what is X
Answer:
x = log 17frac 23 (3)
(50)
Step-by-step explanation:
500 x 0.85 x at the top =30x1.15 x at the top again.
There are 420 fans at a high school basketball game. The ratio of students to parents is 5 to 2. Exactly how many more students are there than
parents at the game?
Answer:
180 more students than parents at the game
Step-by-step explanation:
There are 5 students for every 2 parents equalling 7 people in one set of students to parents ratio.
There are 420 fans at the game. Divide the 420 by the 7 people per set.
420 / 7 = 60 (There are 60 sets of 5 students to 2 parents ratio)
Multiply the 60 sets by 5 students and 2 parents, respectively:
60 x 5 = 300 students
60 x 2 = 120 parents
Subtract the number of parents from number of students:
300 students - 120 parents = 180 more students
4 over 11 of 77 ( 4 over 11 is supposed to be a fraction)
Answer:
28
Step-by-step explanation:
4 x 77 / 11 x 1 = 308 / 11
308/11 = 28 11/11 = 1
the answer is 28 / 1
Hey there!
4/11 of 77
= 4/11 * 77/1
= 4(77) / 11(1)
= 77(4) / 1(11)
= 77 + 77 + 77 + 77 / 11
= 154 + 154 / 11
= 308 / 11
= 28
Therefore, your answer is: 28
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
if I made 136$ and gave 35% to my brother how much would he get
Answer:
47.6
Step-by-step explanation:
35% x 136
= (35/100)*136
_________________
Step 1: In the given case Output Value is 136
Step 2: Let us consider the unknown value as x
Step 3: Consider the output value of 136 = 100%
Step 4: In the same way, x = 35%
Step 5: On diving the pair of simple equations we got the equation as under
136 = 100% (1).
x = 35% (2).
(136%)/(x%) = 100/35
Step 6: Reciprocal of both the sides results in the following equation
x%/136 = 35/100
Step 7: Simplifying the above obtained equation further will tell what is 35% of 136
x = 47.6%
Therefore, 35% of 136 is 47.6