The results of factoring are presented below for each algebraic expression.
x(x-3)+y(x+2)-105y²(1-2y)a(x+y+z)y(xy +5x-5)-13p²(2-p)[tex]2x(2x^3+1)[/tex]FactoringIn math, factoring or factorization is used to write an algebraic expression in factors. There are some rules for factorization. One of them is a factor out a common term for example: y²-y= y(y-1), where y is a common term.
You should apply the factor out a common term for solving the question.
Exercise 4 - letter jx(x+2) + y (x + 2) - 5(x + 2)
x²+2x+xy+2y-5x-10
x²-3x+xy+2y-10
x(x-3)+y(x+2)-10
Exercise 4 - letter k[tex]5y^2 - 10y^3[/tex]
5y²(1-2y)
Exercise 4 - letter lax+ay+az
a(x+y+z)
Exercise 5 - letter myx(y+1) + 4x(y + 1) - 5(y + 1)
xy²+xy+4xy+4-5y-5
xy²+5xy-1-5y
y(xy +5x-5)-1
Exercise 5 - letter n[tex]6p^2 - 3p^3[/tex]
3p²(2-p)
Exercise 5 - letter o[tex]4x^4 + 2x[/tex]
[tex]2x(2x^3+1)[/tex]
Read more about the factoring here:
brainly.com/question/11579257
#SPJ1
Which statement proves that quadrilateral JKLM is a kite?
The statement that proves that quadrilateral JKLM is a kite is (b) LM = JM = 3 and JK = LK = √17
The complete questionSee attachment for the complete question, the graph and the options
How to determine the true statement?The coordinates of the quadrilateral are:
J = (4,5)
K = (5,1)
L = (1,2)
M = (1,5)
Calculate the lengths of the kite using:
[tex]d = \sqrt{(x_2 -x_1)^2 + (y_2 -y_1)^2[/tex]
So, we have:
[tex]JK = \sqrt{(4 -5)^2 + (5 -1)^2} = \sqrt{17[/tex]
[tex]LK = \sqrt{(1 -5)^2 + (2 -1)^2} = \sqrt{17[/tex]
[tex]LM = \sqrt{(1 -1)^2 + (5 -2)^2} = 3[/tex]
[tex]JM = \sqrt{(1 -4)^2 + (5 -5)^2} = 3[/tex]
On a kite, the adjacent sides are of equal lengths
Because LM = JM = 3 and JK = LK = √17, we can conclude that the quadrilateral JKLM is a kite
Read more about quadrilaterals at:
https://brainly.com/question/23935806
#SPJ1
What is the exact value of x?
Click the keyboard icon to type your answer using the math keyboard. If needed, use "/" to create a fraction.
x
8
60°
MATH!!! Volume of prisms stuff
how old is someone, who is a million minutes old?
Explanation and work out pls
Answer:
1.93 or 2 years old
Step-by-step explanation:
First divide 1,000,000 by 60 to get the hours then by 24 to get the days then by 30 to get the months then by 12 to get the years.
Answer:
2 years old(Rounded)
Keys:
YtvWhere Y is Years, m is minutes, and v is the default value for dividing minutes into years.
Step-by-step explanation:
Y = m ÷ v
m = 1,000,000
v = 525,600
m ÷ v = 1.903
Using a standard six-sided die, janice rolled either a 2 or a 5on the last 6 rolls of the die. what is the probability of janice rolling a 2or a 5 on her 7th toss of the die?
Answer:
1/3
Step-by-step explanation:
probability = favorable outcomes/total possible outcomes
There are two favorable outcomes, 2 and 5.
There are 6 total possible outcomes.
Make your fraction.
2/6
reduce
1/3
Fill in the missing numbers:
Answer:
Step-by-step explanation:
2| 1 -3 -10 24
| 2 -2 -24
_______________
1 -1 -12 |0
b=2
c=-1
d=-2
An unusual number cube (with 6 sides) has the numbers 2, 2, 4, 4, 6, and 6 on its faces.
It is rolled once. Match the outcome to its probability.
1. P(2 or 4)
2. A(multiple of 2)
3. P(multiple of 3)
4. P(odd prime numbers)
2/3
0
1
1/3
Answer:
1. P(2 or 4) - 2/3
2. P(multiple of 2) - 1
3. P(multiple of 3) 1/3
4. P(odd prime numbers) 0
Step-by-step explanation:
Good luck lol
P(2 or 4) = 2/3
P( multiple of 2) = 1
P( multiple of 3) = 1/3
P(odd prime numbers) = 0
What is probability?Probability is the likelihood of an event happening or not.
Analysis:
possible outcome = (2,2,4,4,6,6) = 6
P(2 or 4)
n( 2) = required outcome = (2,2) = 2
P(2) = 2/6 = 1/3
n(4) = (4,4) = 2
P(4) = 2/6 = 1/3
P(2 or 4) = 1/3 + 1/3 = 2/3
n( multiple of 2) = (2,2,4,4,6,6) = 6
P( multiple of 2) = 6/6 = 1
n(multiple of 3) = (6,6) = 2
P(multiple of 3) = 2/6 = 1/3
P(odd prime numbers) = 0
Learn more about probability: brainly.com/question/24756209
#SPJ1
help please it says name the property
Which expression is equivalent to the given expression? Assume the denominator does not equal zero.
14r4y6
718y2
OA 24
14
B.
7y3
12
OC. 7r4y4
OD. 2x²y³
Reset
Next
The simplification form of the provided expression is 2y⁴/x⁴ option (A) 2y⁴/x⁴ is correct after applying the integer exponent properties.
What is an integer exponent?In mathematics, integer exponents are exponents that should be integers. It may be a positive or negative number. In this situation, the positive integer exponents determine the number of times the base number should be multiplied by itself.
The question is incomplete.
The complete question is attached in the picture, please refer picture.
We have an expression:
[tex]= \rm \dfrac{\left(14x^4y^6\right)}{\left(7x^8y^2\right)}[/tex]
[tex]\rm =\dfrac{7\cdot \:2x^4y^6}{7x^8y^2}[/tex]
[tex]\rm =\dfrac{2x^4y^6}{x^8y^2}[/tex]
[tex]\rm =\dfrac{2y^4}{x^4}[/tex]
Thus, the simplification form of the provided expression is 2y⁴/x⁴ option (A) 2y⁴/x⁴ is correct after applying the integer exponent properties.
Learn more about the integer exponent here:
brainly.com/question/4533599
#SPJ1
Answer:
A
Step-by-step explanation:
imagine explaining
Can you do it on paper and photos? the answer!
help me
The value of x in all case is
1. The value of x is 2
2. The value of x is 1
3.The value of x is 57
4.The value of x is 93
What is complementary and supplementary angle?If the sum of two angles is 180 degrees then they are said to be b angles, which form a linear angle together. Whereas if the sum of two angles is 90 degrees, then they are said to be complementary angles, and they form a right angle together.
1. As the given angle is 90 degree i.e., complementary angle.
So,
54+10x+16=90
20=10x
x=2
2. 65x-12=43x+10 (Vertically opposite angle)
22x= 22
x=1
3. 72= x+15 (Vertically opposite angle)
x= 57
4.x+244+23=360 (Complete angle)
x=93
Learn more about complementary and supplementary angle here:
brainly.com/question/3027144
#SPJ1
Onyx surveys students at his school and finds that 80% have a pet. He wants to estimate the probability that, if he randomly selected 4 students, at least one student would NOT have a pet.
To estimate this probability, he lets the numbers 1, 2, 3, and 4 represent a student who HAS a pet and 5 represent a student who does NOT have a pet. He then has a computer randomly select 4 numbers and repeats this 20 times.
Based on this simulation, what is the estimated probability that at least one student who have NO PETS?
Represent your answer as a decimal and show your work as to how you determined the answer. pls help this one will give you 50 points
The estimated probability that at least one student who have NO PETS is 1/4.
What is the probability?Probability refers to a possibility that deals with the occurrence of random events.
The probability of all the events occurring need to be 1.
P(E) = Number of favorable outcomes / total number of outcomes
Onyx surveys students at his school and finds that 80% have a pet.
He wants to estimate the probability that, if he randomly selected 4 students, at least one student would NOT have a pet.
lets the numbers 1, 2, 3, and 4 represent a student who HAS a pet, and 5 represent a student who does NOT have a pet.
He then has a computer randomly select 4 numbers and repeats this 20 times.
The estimated probability that at least one student who have NO PETS
= 1/4
Learn more about probability here;
https://brainly.com/question/11234923
#SPJ1
Need help checking my work for Trigonometry. Will mark brainist!
Answer:
1. 0.9925 (4 d.p.)
2. 17°
3. 67°
Step-by-step explanation:
Question 2
⇒ sin 83° = 0.9925461516...
⇒ sin 83° = 0.9925 (4 d.p.)
Question 3
[tex]\sf \implies \sin X=0.2923[/tex]
[tex]\sf \implies X=\sin^{-1}(0.2923)[/tex]
[tex]\implies \sf X=16.99570395...^{\circ}[/tex]
[tex]\implies \sf X=17^{\circ}\:\:(nearest\:degree)[/tex]
Question 4
Sine Ratio
[tex]\sf \sin(\theta)=\dfrac{O}{H}[/tex]
where:
[tex]\theta[/tex] is the angleO is the side opposite the angleH is the hypotenuse (the side opposite the right angle)From inspection of the triangle:
[tex]\theta[/tex] = WO = OS = 24H = OW = 26Substitute the values into the formula and solve for W:
[tex]\implies \sf \sin(W)=\dfrac{24}{26}[/tex]
[tex]\implies \sf W= \sin^{-1}\left(\dfrac{24}{26}\right)[/tex]
[tex]\implies \sf W=67.38013505...^{\circ}[/tex]
[tex]\implies \sf W=67^{\circ}\:\:(nearest\:degree)[/tex]
Can someone please help me with this? it's really important, ill give 10 points for this.
Answer:
ill answer
Step-by-step explanation:
but what is the question please make me brillianist
Help For points
-100
-120
-140
Answer:
x = 140°
Step-by-step explanation:
the secant- secant angle 10° is half the difference of the intercepted arcs
10° = [tex]\frac{1}{2}[/tex] (30 - ? )° ( multiply both sides by 2 to clear the fraction )
20° = 30 - ? ( subtract 30° from both sides )
- 10 = - ? ( multiply both sides by - 1 )
10° = ?
the lower arc is a semicircle = 180°
the sum of the arcs in a circle = 360° , then
x = 360° - 180° - 30° - 10° = 360° - 220° = 140°
When flipping a penny, what is the theoretical probability of landing on heads? What is the theoretical probability of landing on tails?
Answer:.5 for either side
Step-by-step explanation:there are two sides, both equally likely so their probability must be equal and sun to 1. This condition is met when both probabilities are .5
Answer:
50/50 probability
Step-by-step explanation:
3. The probability of winning a balloon dart game is 0.25. The odds of winning a ring toss game are 2:7. Which game gives you a better chance of winning?
Please help
Answer:
Ring toss game
Step-by-step explanation:
[tex]2:7[/tex] can be rewritten as [tex]\frac{2}{7}[/tex], which is [tex]\approx0.286[/tex].
We can now compare the probabilities of winning for each game.
[tex]0.286 > 0.25[/tex]
This means the odds of winning the ring toss game ([tex]0.286[/tex]) are higher than the odds of winning the balloon dart game [tex](0.25)[/tex].
Please Help I Don't Understand!
Answer:
5.3
Step-by-step explanation:
Since they are similar triangles, we assume the ratio between AM/AN is equal to the ratio between MB/NC.
AM/AN = 6/8 = 3/4
If MB is 4
3/4 = MB/NC = 4/NC
3/4 = 4/NC
3NC = 16
NC = 16/3
16/3 = 5.333333
Which represents the polynomial written in standard form?
8x²y²-3x³y + 4x²-,7xy³
O −7xy³ + 8x²y² – 3x³y + 4x4
○ 4x² - 7xy³_ 3x³y + 8x²y²
O
2
O 4x4 + 8x²y²-3x³-7xy³
2
O-7xy³ - 3x³y + 8x²y² + 4x²
2
The polynomial written in standard from is -7xy³ - 3x³y + 8x²y² + 4x².
How to write polynomial in standard form?The standard form of a polynomial is expressed by writing the highest degree of terms first then the next degree and so on.
In other words the terms are arranged by decreasing order of degrees.
The degree of a polynomial is the exponential value of the variables.
Therefore, the polynomial written in standard from in the options is as follows:
-7xy³ - 3x³y + 8x²y² + 4x²
learn more on polynomial here: brainly.com/question/12401404
#SPJ1
what is the value of x if 105% of 90 is equal to 200% of x?
Find the value of x.
Round to the nearest tenth.
B
63
142°
61
A
C
X
x = [?
X
Law of Cosines: c² = a² + b² - 2ab cos C
The value of x in the triangle using the cosine rule is 22.1 degrees.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Cosine rule is used to show the relationship between the sides and angles of a triangle. It is given by:
c² = a² + b² - 2ab cos C
Where a, b, c are the sides and C is the angle opposite side c.
Using cosine rule:
8² = 14² + 19² - 2(14)(19) * cos(x)
cos(x) = 0.9267
x = 22.1°
The value of x in the triangle using the cosine rule is 22.1 degrees.
Find out more on equation at: https://brainly.com/question/2972832
#SPJ1
Using the law of Cosines, the value of x to the nearest tenth is 77.8
Law of CosinesFrom the question, we are to determine the value of x
Using the law of Cosines
c² = a² + b² - 2ab cos C
c is the unknown side length
a and b are the given side lengths
and C is the included angle
From the given information,
a = 63
b = 62
C = 142°
Then,
x² = 63² + 61² -2×63×61 cos 142°
x² = 3969 + 3721 -7686(-0.788)
x² = 7690 + 6056.568
x² = 13746.569
x = √13746.569
x = 77.8
Hence, the value of x to the nearest tenth is 77.8
Learn more on Law of Cosines here: https://brainly.com/question/23282500
#SPJ1
PLEASE ANSWER THESE!!!!!!!!!!!!!!!!
Answer:
First one: X= 11.5
Second one: W = 3
X= 41.4°
Third one: 516.8
Step-by-step explanation:
Remember SOH CAH TOA when dealing with trigonometry and study the diagrams well
Which three ordered pairs describe points that are 5 units away from P(-1,2)?
A. (1,5)
B. (-6,7)
C. (-1,-3)
D. (4,2)
E. (2,-2)
The ordered pair that is 5 units away is (-1, -3)
What is a line?
A line is a distance between two points.
Analysis:
see attached file.
In conclusion, the ordered pair is (-1, -3)
Learn more about distance: brainly.com/question/7243416
#SPJ1
A bag contains 4 blue balls, 7 yellow balls and 4 white balls. Event A is defined as drawing a blue ball on the first draw and event B is defined as drawing a white ball on the second draw. If two balls are drawn from the bag, one after the other and not replaced, what is P(B|A) expressed in simplest form? A. B. C. D.
P(B|A) expressed in simplest form is 8/105.
What is the probability?Probability determines the chances that an event would happen. The chance of the event happening lies between 0 and 1.
P(B|A) = (number of blue balls / total number of balls) x (number of white balls / total number of balls - 1 )
(4/15) x 4/14 = 8/105
To learn more about probability, please check: https://brainly.com/question/13234031
#SPJ1
While Al was staying overnight on vacation with his friends his only expenses were for food. Al spent $7.52 on lunch, $9.74 on dinner, and then $5.16 on breakfast the next morning. If Al had $2.68 left, how much money did he begin with?
$19.74
$25.10
$15.36
$22.42
Answer:
$25.10
Step-by-step explanation:
lunch=$7.52
dinner=$9.74
breakfast=$5.16
money left=$2.68
make total money he began with ‘x’
to find the total money he began with it will be
x-lunch+dinner+breakfast=money left
x-$7.52+$9.74+$5.16=$2.68
x-$22.42=$2.68
x=$2.68+$22.42
x=$25.10
What is the surface area? 2 mm 3 mm 1 mm square millimeters
What is the surface area? 2 mm 3 mm 1 mm square millimeters.
[tex] \mathbb{SOLUTION:} [/tex][tex] \sf{SA = 2mm \times3mm \times 1mm } [/tex][tex] \sf{SA = 2x(2 \times 3 + 2 \times 1 + 3 \times 1)}[/tex][tex] \sf{SA= 22 \: square \: millimeters^{2} } [/tex]••••••••••••••••••••••••••••••••••••••••••••
- Hence,The square millimeters is 22sqm².
"Problem has been Solve"
(ノ^_^)ノ
Answer :
Surface area is 22mm²
Required solution :
After noticing the question we got to knew that we need to calculate the surface area of cuboid and we've been provided with the values of length, breadth and height of it.
★ Surface area of cuboid :
S.A. =2 (lb + lh + hb)Substituting values,
>> S.A. = 2 (2 × 3 + 2 × 1 + 3 × 1)
>> S.A. = 2 (6 + 2 + 3)
>> S.A. = 2 (8 + 3)
>> S.A. = 2 (11)
>> S.A. = 2 × 11
>> S.A. = 22
how do u convert a percentages into fractions ??
Answer:
Step-by-step explanation:
To convert a percent to a fraction, we have to remove the percent sign and divide the given number by 100
ex: 11% = 11/100
The area of a square is 36 square feet. each side of the square measures
Jade and chet get a weekly allowance plus x dollars for each time the pair walks the dog. they plan to save 40% of their combined earnings in one week to purchase a new app for their smart tablet. their earnings in a certain week are represented in the table. earnings ($) jade 8+2x chet 4x+6 if their parents pay $2.50 each time they walk the dog, how much money will they have to purchase the app?
The amount of money Jade and chet will have to purchase the app is $11.6
How to solve equation?Jade = 8 + 2xChet = 4x + 6Where,
x = $2.50
Amount each earned:
Jade = 8 + 2x
= 8 + 2(2.50)
= 8 + 5
= $13
Chet = 4x + 6
= 4(2.50) + 6
= 10 + 6
= $16
Combined earnings = $13 + $16
= $29
Amount planned to save = 40% of combined earnings
= 40% × $29
= 0.4 × 29
= $11.6
Learn more about equation:
https://brainly.com/question/2972832
#SPJ1
The perimeter of a square is 56cm. State the length of one of its sides.
Answer:
The length of one of the sides would be 14 cm.
Step-by-step explanation:
There are 4 sides to a square and the total perimeter is 56 cm meaning that we need to divide 56 by 4 to get the length of one side. 56 divided by 4 is equal to 14 cm, getting your answer. I hope this helps! Have a great day! :)
If arc CE is 125°, what is the measure of angle CDE?
Check the picture below.
Answer:
A. 55
Step-by-step explanation: