Answer:
[tex] 1 \frac{1}{6} [/tex]
Step-by-step explanation:
[tex]\huge \frac{7}{6} = 1 \frac{1}{6} [/tex]
Hope it helps you in your learning process.
If you are given a paper which has lines which are the length of a needle apart, and then you repeated drop that needle onto the paper, the probability that the needle with cut the line is:
Answer:
The correct option is;
[tex]\frac{1}{\pi }[/tex]
Step-by-step explanation:
Here we have that
[tex]Probability = \frac{Number \, of \, required\, outcomes}{Number \, of \, possible\ outcomes} = \frac{Dimension \, of \, the \, line}{Size \, of \, the \ needle} = \frac{l \times D}{\pi \times D \times l } = \frac{1}{\pi }[/tex]
Therefore, the probability that the needle will cut the line = 1/π.
Factor the expression 2x4y – 18x2y3 completely.
A. 2x2y(x2 – 9y2)
B. 2x2y(x – 3y)(x + 3y)
C. 2x2y(x – 3y)2
D. 2x2y(x – 9y)(x + 2y)
Answer:
B
Step-by-step explanation:
[tex]2x^{4}y - 18x^{2}y^{3}[/tex]
Both sides have [tex]x^{2}[/tex]
[tex]x^{2} (2x^{2}y - 18y^{3})[/tex]
Both sides have y
[tex]yx^{2} (2x^{2} - 18y^{2})[/tex]
Both sides have 2
[tex]2yx^{2} (x^{2} - 9y^{2})[/tex]
Rule : [tex]x^{2} - y^{2} = (x+y)(x -y)[/tex][tex]x^{2} = x.x\\9y^{2} = 3y. 3y[/tex]
[tex](x^{2} - 9y^{2}) = (x +3y) (x-3y)[/tex]
Final:
[tex]\red{ 2 {x}^{2} y(x - 3y)(x + 3y)}[/tex]
Hope this helps ^-^
The factored expression is 2x²y(x + 3y)(x- 3y), and option (B) is correct.
What is Factorization?The act of expressing a number or other mathematical object as the sum of numerous factors is known as factorization.
The given expression is 2x⁴y-18x²y³.
Factor the expression as follows:
2x⁴y-18x²y³
= 2x²y(x² - 9y²)
= 2x²y(x² - (3y)²)
= 2x²y(x + 3y)(x- 3y)
Hence, the factored expression is 2x²y(x + 3y)(x- 3y), and option (B) is correct.
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The total time T (in hours) needed to fly from New York to Los Angeles and back can be
modeled by the equation below, where d is the distance (in miles) each way, a is the average
speed (in miles per hour), and j is the average speed (in miles per hour) of the jet stream.
Simplify the equation. Then find the total time to the nearest minute it takes to fly 2468 miles
when a = 512 miles per hour and j = 103 miles per hour.
Answer:
complicated process just think and do the math If I was helpful pls be thnked
Step-by-step explanation:
HELP PLEASE!!!!!
(20 POINTS)
You pick a card from a deck containing 5 cards and roll a 6-sided die. How many
outcomes are possible?
30
Step-by-step explanation:
there are 5 outcomes for each card, and 6 for the die. 5x6 is 30. I hope this helps!
How many solutions does this equation have?
6 − 2z = –2z − 1
Answer:
No solution
Step-by-step explanation:
6-2z+2z = -1
6 = -1
the sum of two integers is 81.if the product is 1088.what are the integers
Answer:
(a;b)={(17; 64); (64; 17)}
Step-by-step explanation:
a+b=81 => b=81-a
a*b=1088
a*(81-a)=1088
-a²+81a=1088
a²-81a+1088=0
a²-64a-17a+1088=0
a(a-64)-17(a-64)=0
(a-17)(a-64)=0
=> a=17 and a=64
for a=17 => b=81-17=64
for a=64 => b=81-64=17
(a;b)={(17; 64); (64; 17)}
The two integers are equal to a = 17 and b = 64.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
The two integers are,
a+b=81 => b=81-a
a x b=1088
Calculate the value of one integer,
a x (81-a)=1088
-a²+81a=1088
a²-81a+1088=0
a²-64a-17a+1088=0
a(a-64)-17(a-64)=0
(a-17)(a-64)=0
Calculate the value of the second integer b,
=> a=17 and a=64
for a=17 => b=81-17=64
Therefore, the two integers are equal to a = 17 and b = 64.
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Mr. Stewart used a gallon of vinegar to make 15 different color egg dipping containers. He used the same amount of vinegar in each container. How much vinegar in gallons was used in each egg dye container?
Answer:
0.067 gallons ( to 2 decimal places)
Step-by-step explanation:
First, note that since the same amount of vinegar was used in each container, it means that the 1 gallon of vinegar was divided equally to the 15 containers, hence the amount of vinegar used in each dye container is calculated as follows:
total volume of vinegar = 1
number of egg dye containers = 15
if equal volume of vinegar was used in each container:
volume of vinegar in each egg dye container = 1 ÷ 15 = 0.067 gallons ( to 2 decimal places)
please help! I will mark as branliest if you help
Answer:
B.180°
Step-by-step explanation:
The sum of supplementary angles are always equal to 180, as you can see, the angles form a half circle which is 360/2. Hope this helps :)
Answer:
180
Step-by-step explanation:
Supplementary angles sum to 180 degrees
when nathan was 2 1/2 years old, he was 34 inches tall. the doctor told his mother that he will be two times and 4 inches taller than that when he is an adult. which of the following equation will give h, nathans height, as an adult
Answer 5 ft 4 in
Step-by-step explanation:
2 1/2 + 2 1/2=5 + 4 inches
Use the graph of the function y = (x + 3)(x - 2) to find the
solutions of the quadratic equation 0 = (x + 3)(x - 2).
The solutions of the quadratic equation 0 = (x + 3)(x - 2) are
-6 and 0.
4 and 3.
-3 and 2
-2 and 1.
Answer:
Third option (-3 and 2)
Step-by-step explanation:
You do not need graphs for this necessarily. you just have to build two equations:
0=x+3
0=x-2
if you solve them, the results are:
-3 = x
2 = x
Answer:
option 3 is correct that is (-3,2) is the solution.
Step-by-step explanation:
You start a chain email and send it to 3 friends. The process continues and each of your friends forward the email to 3 other people. What is an expression for the nth term an?
Answer:
[tex]a_{n}=3^{n}[/tex]
Step-by-step explanation:
We can start solving this problem by making a list of the number of chain emails that are sent on each round:
Round one:
[tex]a_{1}=3[/tex]
which represents the three friends you send the mail to.
Round two:
[tex]a_{2}=3*3=9[/tex]
since each of your friends sends the mail to another three friends, then we multiply the original 3 friends by 3 to get a total of 9.
Round three:
[tex]a_{3}=3*3*3=9*3=27[/tex]
on the next round we multiply the previous 9 persons by 3 mails each giving us a total of 27 persons receiving the mail. A patter starts showing here. Notice that for each round we need to take the previous round number an multiply it by 3. When we have a number being multiplied by itself n times, we rewrite it as a power, so the expression for the nth term will be:
[tex]a_{n}=3^{n}[/tex]
which is our final answer.
A right triangle is shown below.
Which measurement is the closest to the value of x?
Answer:
35°
Step-by-step explanation:
First you find the sine of x. That would be
sinx = opposite/hypotenuse
sinx = 57/100
sinx = 0.57
You can look it up if you want, but sin35 = 0.574
so the answer is 35°
The closest to the value of x is 35°.
What are trigonometric identities?Trigonometric identities are the functions that include trigonometric functions such as sine, cosine, tangents, secant, and, cot.
In order to find the sine of x. That would be
sinx = opposite/hypotenuse
sinx = 57/100
sinx = 0.57
sin35 = 0.574
Hence, the answer is 35°.
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whats the answer for w^5+4w^4+10w^3+40w^2
Answer:
w^2*(w+4)*(w^2+10)
Step-by-step explanation:
w^5+4w^4+10w^3+40w^2
w^2*(w^3+4w^2+10w+40)\w^2*(w^2*(w+4)+10(w+4))
w^2*(w+4)*(w^2+10)
I'm assuming there's an =0 at the end of this?
You need to factor to get an answer, so:
[tex]w^5+4w^4+10w^3+40w^2=0\\w^4(w+4)+10w^2(w+4)=0\\(w^4+10w^2)(w+4)=0\\w^2(w^2+10)(w+4)=0\\w=0\\w^2+10=0\\w^2=-10\\w=\sqrt{-10}=10i\\ w+4=0\\w=-4\\w=0,10i,-4[/tex]
If your teacher doesn't want any imaginary numbers, then your answer would be limited to w=0 and 4. (exclude the 10i if you don't want imaginary numbers)
-2 x (-7) =
24 divided by (-3) =
Answer:
1) 14
2) -8
Step-by-step explanation:
-2 × (-7) = 14
24 ÷ (-3) = -8
The lines y=x+1 and y=-x-3 are graphed.
What is the solution to the system?
Please help
Answer: (-2, -1)
Step-by-step explanation: Since these lines are already graphed, we are looking for their point of intersection. This point where the two lines intersect will represent the x and y that is the solution to this system of equations.
The two lines intersect in quadrant III
where x and y are both negative.
When finding the coordinates of a given point,
be very careful with your signs.
Let's just do a quick review on the coordinate system. On the x-axis, left means negative and right means positive and on the y-axis, down means negative and up means positive.
So to find the coordinates for this point, we start at the origin.
Then we move to the left 2 and down 1 so that's (-2, -1).
So the solution to this system is (-2, -1).
What does angle B equal?
NO. IM SORRY. I DID NOT MEANT THAT. DONT TRUST MY ANSWER.
Delete my answer due to my stupidity
Find and interpret the mean absolute deviation of the data. round your answer to the nearest tenth if necessary.
_______________
| 60 | 105 | 80 | 125 |
| 140 | 95 | 65 | 170 |
----------------------------
please help i have asked this questions 3 times and people keep being like " sorry i need these." or " thx for the points!!!" so please help i don't understand this.
The mean absolute deviation of the data is 30.
Given data:
To find the mean absolute deviation (MAD) of the given data, we need to follow these steps:
Calculate the mean (average) of the data set.
Find the absolute difference between each data point and the mean.
Calculate the mean of these absolute differences.
Given data set: 60, 105, 80, 125, 140, 95, 65, 170
Step 1:
Calculate the mean
Mean = (60 + 105 + 80 + 125 + 140 + 95 + 65 + 170) / 8
Mean = 840 / 8
Mean = 105
Step 2:
Find the absolute difference between each data point and the mean
|60 - 105| = 45
|105 - 105| = 0
|80 - 105| = 25
|125 - 105| = 20
|140 - 105| = 35
|95 - 105| = 10
|65 - 105| = 40
|170 - 105| = 65
Step 3:
Calculate the mean of the absolute differences
MAD = (45 + 0 + 25 + 20 + 35 + 10 + 40 + 65) / 8
MAD = 240 / 8
MAD = 30
The mean absolute deviation of the given data set is 30.
Interpretation:
The mean absolute deviation represents the average amount by which each data point deviates from the mean. In this case, the MAD of 30 indicates that, on average, the data points in the set deviate from the mean by approximately 30 units.
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Simplify the expression. (2x5)4
2x20
16x20
16x9
2x625
Answer:
16 x^20
Step-by-step explanation:
(2x^5) ^4
We can separate this into
2^4 * x^5^4
We know that a^b^c = a^(b*c)
16 x^(5*4)
16 x^20
Answer:
The answer is b
Step-by-step explanation:
Stacy and Melissa work as waitresses. They both earn $7.75 per hour, plus tips. Last weekend, Stacy worked x number of hours and earned $153.95 in tips. Melissa worked y number of hours and earned $129.02 in tips. Stacy determined that using the expression 7.75x + 153.95 + 7.75y + 129.02 will calculate the amount the girls earned together last weekend. Select another expression the girls could also use.
Answer:
The complete question is as below:
Stacy and Melissa work as waitresses. They both earn $7.75 per hour, plus tips. Last weekend, Stacy worked x number of hours and earned $153.95 in tips. Melissa worked y number of hours and earned $129.02 in tips. Stacy determined that using the expression 7.75x + 153.95 + 7.75y + 129.02 will calculate the amount the girls earned together last weekend. Select another expression the girls could also use.
A. 7.75x + y + 282.97
B. 7.75(x + y) + 282.97
C. 7.75(xy) + 282.97
D. 7.75x + 7.75y – 282.97
Option B,7.75(x + y) + 282.97 is correct
Step-by-step explanation:
Stacy already calculated total earnings of both of them with expression
7.75x + 153.95 + 7.75y + 129.02
The expression can be rewritten by simplifying it
first and foremost we can arrange the expression as follows:
7.75x+7.75y+153.95+129.02
7.75 is common to 7.75x+7.75y
7.75(x+y)+153.95+129.02
the sum of these two numbers 153.95+129.02=282.97
7.75(x+y)+282.97
From all indications,option B is the correct answer out of all options provided
Option D is obviously because of the negative sign introduced since the requirement is to compute total earnings not the difference between the two earnings
Answer: I did get a chance to look for the new one on my way back from the Senate and I will be there at the same time as the first time in the new season and then we going to go look for it and I get it to you tomorrow
Step-by-step explanation:
Since the area of the circle is StartFraction pi Over 4 EndFraction the area of the square, the volume of the cylinder equals
StartFraction pi Over 2 EndFraction the volume of the prism or StartFraction pi Over 2 EndFraction(2r)(h) or πrh.
StartFraction pi Over 2 EndFraction the volume of the prism or StartFraction pi Over 2 EndFraction(4r2)(h) or 2πrh.
StartFraction pi Over 4 EndFraction the volume of the prism or StartFraction pi Over 4 EndFraction(2r)(h) or StartFraction pi Over 4 EndFractionr2h.
StartFraction pi Over 4 EndFraction the volume of the prism or StartFraction pi Over 4 EndFraction(4r2)(h) or Pir2h.
Answer:
StartFraction 2 Over h EndFraction = StartFraction 3 Over m EndFraction
StartFraction 2 Over n EndFraction = StartFraction 3 Over h EndFraction
StartFraction 2 Over h EndFraction = StartFraction h Over n EndFraction
Startfraction 2 Over h EndFraction = StartFraction h Over 3 EndFraction
Step-by-step explanation:
Answer:
It's D
Step-by-step explanation:
Write the standard form of the line that passes through the the given points. (3,1) and (-2,3)
Answer:
Step-by-step explanation:
(3-1)/(-2-3)= -2/5
y - 1 = -2/5(x-3)
y - 1 = -2/5x + 6/5
y - 5/5 = -2/5x + 6/5
y = -2/5x + 11/5
standard form is
5y = -2x + 11
2x + 5y = 11
Graph a line that contains the point (-7,-4) and has a slope of
2
3
Answer:
y = 2/3x + 2/3
Step-by-step explanation:
just substitute every known value into the parent function on a linear function
y = mx +b
-4 = 2/3(-7) +b
now solve for b (the y-intercept)
-4 = -14/3 + b
-12/3 = -14/3 + b ( made it to same denominator)
2/3 = b
Lana's little sister needs to take a bubble bath. The package says to put in a drop of bubble bath for every half gallon of water in the bath tub. Lana doesn't know how many half gallons there are, but she knows that their bathtub can hold 12 gallons of water. How many drops can she put into the bath for her sister?
Answer:
Lana can put 24 drops of bubble bath for her sister
Step-by-step explanation:
If package says to put in a drop of bubble bath for every half gallon of water in the bath tub.
If the bathtub can hold 12 gallons of water
There are 12÷1/2 gallon
=12×2/1
=24
It means there are 24 half gallons in the bathtub
If every half gallon of water requires a drop of the bubble bath
Then,
24 half gallons of water requires 24 drops of the bubble bath
what is the volume of this hemisphere? Exact answer in terms of π the radius is 48 m options 1) 9,216 π cubic meters 2) 18,432 π cubic meters 3) 28,938 π cubic meters 4) 57,876 π cubic meters
Answer:
Volume, [tex]V=73728\pi \ m^3[/tex]
Step-by-step explanation:
The formula for the volume of hemisphere is given by :
[tex]V=\dfrac{2}{3}\pi r^3[/tex]
r is radius of hemisphere, r = 48 m
[tex]V=\dfrac{2}{3}\pi\times (48)^3\\\\V=73728\pi \ m^3[/tex]
So, the volume of hemisphere is [tex]73728\pi \ m^3[/tex].
2x + 8y = 21 6x - 4y = 14
Step-by-step explanation:
{2x+8y=14
{216x-4y=14
{x+4y=7
{216x-4y=14
217x=21
x=3/31
2*3/31+8y=14
y=107/62
(x,y)=(3/31, 107/62)
2*3/31+8*107/62=216*3/31-4*107/62=14
14=14=14 since all of the equalities are true the order pair is the solution of the system (x,y)=(3/31, 107/62)
hope this helps :)
maya was asked whether the following equation is an identity (2x+3)(x+1) = 2(x+1)^2 + (x+1)
Answer:
Maya is correct.
Step-by-step explanation:
Khan Academy gave me the answer.
(If tan A=)
PLZ ANSWER IT FAST...
Answer:
See explanation
Step-by-step explanation:
[tex]tan \: A = \frac{2 \sqrt{a} }{a - 1} ...(given) \\ \because \: {sec}^{2} \: A = 1 + {tan}^{2}\: A \\ \therefore\: {sec}^{2} \: A = 1 + \bigg(\frac{2 \sqrt{a} }{a - 1} \bigg)^{2} \\\\ \hspace{38 pt} = 1 + \frac{4a}{ {(a - 1)}^{2} } \\ \\ \hspace{38 pt}= \frac{(a - 1)^{2} + 4a}{ {(a - 1)}^{2} } \\ \\\hspace{38 pt} = \frac{a^{2} - 2a + 1+ 4a}{ {(a - 1)}^{2} } \\ \\ \hspace{38 pt}= \frac{a^{2} + 2a+ 1}{ {(a - 1)}^{2} } \\ \\ \hspace{38 pt}= \frac{(a + 1)^{2}}{ {(a - 1)}^{2} } \\ \\ \therefore {sec}^{2} \: A = \bigg(\frac{a + 1}{ {a - 1}} \bigg) ^{2} \\ \\ \therefore \: {sec} \: A = \pm \bigg(\frac{a + 1}{ {a - 1}} \bigg)\\ \\ [/tex]
In the question It is not mentioned that in which quadrant does angle A lie, so we will assume it to be in first quadrant.
[tex] \therefore \: {sec} \: A = \bigg(\frac{a + 1}{ {a - 1}} \bigg)\\ \\
\red{ \boxed{ \bold{\therefore \: {cos} \: A = \bigg(\frac{a - 1}{ {a + 1}} \bigg)}}} \\ \\ {sin} \: A ={cos} \: A \times {tan} \: A \\ \\ \hspace{25 pt}=\bigg(\frac{a - 1}{ {a + 1}} \bigg) \times \frac{2 \sqrt{a} }{a - 1} \\ \\ \purple {\boxed { \bold{{sin} \: A = \frac{2 \sqrt{a} }{a + 1}}}}[/tex]
A snack bar sells popcorn in cone-shaped containers. One container has a diameter of 8 inches and a height of 10 inches. How many cubic inches of popcorn does the container hold? (Just type the number in the box; round to the nearest tenth.)
Answer:
90
Step-by-step explanation:
can someone please help me ill give a brainliest
Answer:
C
Step-by-step explanation:
-
Answer:
yes
Step-by-step explanation:
Which equations could be used to solve for the unknown lengths of △ABC? Check all that apply.
sin(45°) = StartFraction B C Over 9 EndFraction
sin(45°) = StartFraction 9 Over B C EndFraction
9 tan(45°) = AC
(AC)sin(45°) = BC
cos(45°) = StartFraction B C Over 9 EndFraction
Answer:
the first and last one apply
Step-by-step explanation:
just did it on edu
The equations that can be used to solve for the unknown lengths of △ABC is as follows
sin 45 = BC / 9
cos 45 = BC / 9
Properties of a right angle triangle:One of it angle is 90 degreesThe side and angles of the triangles can be found using trigonometric ratio. The simplest ratios are sine, cosine and tangent.The ratio are represented as follows:
sin ∅ = opposite / hypotenusecos ∅ = adjacent / hypotenusetan ∅ = opposite / adjacentThe trigonometric ratios that can be used to find unknown sides is as follows:
sin 45 = BC / 9cos 45 = BC / 9learn more on right angle triangle here: https://brainly.com/question/14771025?referrer=searchResults
