Answer:
(a+b)²-2ab
Step-by-step explanation:
First we need to factorize (a+b)²
(a+b)² = a² + 2ab + b²
(a+b)² = a²+b²+2ab
Subtract 2ab from both sides
(a+b)² - 2ab = a²+b²+2ab - 2ab
(a+b)²-2ab = a²+b²
Swap;
a²+b² = (a+b)²-2ab
Hence the expression of a² + b² is (a+b)²-2ab
Help me please help me I really need help
Answer:
44%
0.44 is 44% of 1.
Hi, I'm learning about graph theory. I just have a question: If a cycle is going in the same direction as another cycle, is it the same cycle? Example: Is ABCDA=BCDAB?
Answer:
no because it has a different starting and ending point
Step-by-step explanation:
hope it helps!
What is the volume of this sphere?
Use A = 3.14 and round your answer to the nearest hundredth.
8 mm
cubic millimeters
Answer:
[tex]V=2143.57\ mm^3[/tex]
Step-by-step explanation:
Given that,
The radius of the sphere, r = 8 mm
We need to find the volume of the sphere. The formula for the volume of a sphere is given by :
[tex]V=\dfrac{4}{3}\pi r^3[/tex]
Put all the values,
[tex]V=\dfrac{4}{3}\times 3.14\times 8^3\\\\=2143.57\ mm^3[/tex]
So, the volume of the sphere is equal to [tex]2143.57\ mm^3[/tex].
A 35 foot ladder is set against the side of a house so that it reaches up 28 feet. If Bentley grabs the ladder at its base and pulls it 4 feet farther from the house, how far up the side of the house will the ladder reach now? (The answer is not 24 ft.) Round to the nearest tenth of a foot.
Answer:24.5
Step-by-step explanation:
a^2+ (25)^2 =35^2
a^2 +625=1225
a^2=600
a=24.494897
a=24.5
help me, the question is down below
Answer:
C
Step-by-step explanation:
6.3/3 = 2.1
12.6/6 = 2.1
18.9/9 = 2.1
what is the factor of x^2 + 2x - 3
Answer:
(x + 3)(x - 1)
Step-by-step explanation:
Given
x² + 2x - 3
Consider the factors of the constant term (- 3) which sum to give the coefficient of the x- term (+ 2)
The factors are + 3 and - 1 , since
3 × - 1 = - 3 and 3 - 1 = + 2 , then
x² + 2x - 3 = (x + 3)(x - 1) ← in factored form
What is the factor of x² + 2x - 3
Solution:-x² + 2x - 3[tex] \rightarrow [/tex] x² + 3x - x - 3 = 0
[tex] \rightarrow [/tex] x(x + 3) -1(x + 3) = 0
[tex] \rightarrow [/tex] (x + 3) (x - 1) = 0
[tex] \therefore [/tex] Either, x + 3 = 0 => x = -3 and x - 1 = 0 => x = 1
So, x = -3 and 1
The factor of x² + 2x - 3 is -3 and 1. [Answer]what's your answer??>????????????????????????
Answer and Step-by-step explanation:
The answer is parallelograms.
This is because they all have 4 sides and have 2 pairs of parallel sides, which is enough to say that it is a parallelogram.
#teamtrees #PAW (Plant And Water)
Answer:
parallelogramsStep-by-step explanation:
As,
In the picture there is a parallelogram, rhombus, rectangle and a square.
We know,
Properties of parallelogram:-
Opposite sides are equal and parallel Diagonals bisect each other.Sum of any two adjacent angles is 180°All the above conditions are also same In a rhombus, rectangle and a square.
Hence,
Parallelogram best describes all the above shapes
Triangle A'B'C' is the image of ABC under a rotation about point P.
Determine the angle of rotation.
-75
-45
45
75
Answer:
its 45
Step-by-step explanation
It's right I did it on khan
how to right a number in standerd form
Answer:
How to write numbers in standard form:
Write the first number 8.
Add a decimal point after it: 8.
Now count the number of digits after 8. There are 13 digits.
So, in standard form: 81 900 000 000 000 is 8.19 × 10¹³
Step-by-step explanation:
please mark this answer as brainliest
What is the area of the trapezoid? The diagram is not drawn to scale.
A. 36 cm2
B. 9 cm2
C. 21 cm2
D. 16.5 cm2
Answer:
Area of trapezoid = 21 cm²
Step-by-step explanation:
Given:
Length of rectangular shape = 4 cm
Width of rectangular shape = 3 cm
Base of triangle = 3 cm
Number of triangle = 3 cm
Find:
Area of trapezoid
Computation:
Area of trapezoid = Area of middle rectangle + Number of triangle[Area of triangle]
Area of trapezoid = [l x b] + 2[(1/2)(b)(h)]
Area of trapezoid = [4 x 3] + 2[(1/2)(3)(3)]
Area of trapezoid = 12 + 9
Area of trapezoid = 21 cm²
The math department is putting together an order for new calculators. The
students are asked what model and color they prefer,
Answer:
D
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
A P # X
Find m and n...
Help plz
Answer:
m and 100are co-interior angles
so;
m+100=180. (being sum of co-interior angles)
m=180-100
m=80
like wise;
n=100
need help asap don’t have much time
Answer:
1. Linear pair
2. Adjacent
3. Complementary
4. Adjacent
Step-by-step explanation:
Problem 1:
Angles a and b are on a straight line. Therefore, the relationship between them can be referred a LINEAR PAIR.
Problem 2:
Angles a and b share the a common vertex and same side. Therefore, both angles can be side to be ADJACENT to each other.
Problem 3:
Angle a + angle b = 90°
Therefore, they are COMPLEMENTARY angles.
Problem 4:
angles a and b share the same side and a common vertex. They are ADJACENT angles.
There are 10 2/15 kg of watermelons and coconuts on a truck. The weight of the watermelons is 3 3/5 times that of the coconuts. How heavy are the coconuts on the truck, in kg?
Answer:
2 7/76 kg
Step-by-step explanation:
Let the weight of
Watermelons = x
Coconut = y
There are 10 2/15 kg of watermelons and coconuts on a truck.
x + y = 10 2/15
x = 10 2/15 - y
x = 152/15 - y.... Equation 1
The weight of the watermelons is 3 3/5 times that of the coconuts.
x = 3 3/5 × y
x = 18/5 × y
x = 18y/5
How heavy are the coconuts on the truck, in kg?
Find y
We substitute 18y/5 for x in Equation 1
x = 152/15 - y
18y/5 = 152/15 - y
18y /5 + y = 152/15
Multiply through by 15
18y/5 × 15 + y × 15 = 152/15 × 15
3 × 18y + 15y = 152
54y + 15y = 152
69y = 152
y = 152/69
y = 2 14/152
y = 2 7/76 kg
Therefore, the weight of the coconuts are 2 7/76 kg
in which sentence is the literary device litotes used?
The correct sentence is "He commented that her house was no palace".
What is litotes?“Litotes is a figure of speech and a form of understatement in which a sentiment is expressed ironically by negating its contrary.”
A litote is an statement that expresses the affirmative by saying the negative of the contrary.
The other statements are all statements, they do not give any indication of a deeper level of meaning.
Another example of a litote is: That wasn't the messiest house I've ever seen. In this statement, the house is being described as messy by saying that it is not.
The correct sentence is "He commented that her house was no palace".
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If you roll two dice, what is the probability that the sum is 9?
Answer:
1/9
Step-by-step explanation:
The probability of getting 9 as the sum when 2 dice are thrown is 1/9.
a grab bag contains 20 packages worth $0.70 each 15 packages $0.60 each and five packages worth 30 cents each what is the expected value if you have to pay fifty cents each to pick one package at random
Answer:
The expected value is $0.1125
Step-by-step explanation:
The number of packages worth $0.70 in the grab bag = 20
The number of packages worth $0.60 in the grab bag = 15
The number of packages worth 30 cents in the grab bag = 5
The amount paid to pick one package = 50 cents
The number of packages in the bag, n = 20 + 15 + 5 = 40
The total value of the packages in the grab bag, 'V', is given as follows;
V = 20 × $0.70 + 15 × $0.60 + 5 × $0.30 = $24.5
The average value of the packages in the bag, A = V/n
∴ A = $24.5/40 = 0.6125
The expected value is the value of the investment, at a point in time, the expected value E(X) is found by finding the sum of the of the calculations of the possible outcomes as follows
Whereby a $0.70 package is picked up, we have;
E(X)₁ = ($0.70 - $0.50) × 20/40 = $0.10
Whereby a $0.60 package is selected, we have;
E(X)₂ = ($0.60 - $0.50) × 15/40 = $0.0375
Whereby a $0.30 package is selected, we have;
E(X)₃ = ($0.30 - $0.50) × 5/40 = $(0.025)
Therefore, the expected value, E(X), is found as follows;
E(X) = E(X)₁ + E(X)₂ + E(X)₃
E(X) = 0.1 + 0.0375 - 0.025 = $0.1125
The expected value, E(X) = $0.1125
(Robert LaClerq is paid a regular wage of $9.50 an hour, overtime at the rate of 1 times the regular rate for all hours worked over 8 in any weekday, and overtime at the rate of 2 times the regular rate for hours worked on Saturdays, Sundays, and holidays. During the week ended February 14, LaClerq worked the following days and hours. Calculate the regular hours worked and the overtime hours worked. Then answer the questions that follow.)
Answer:
Day Total hours worked regular hours Overtime hours
Monday 7 7 0
Tuesday 10 8 2
Wednesday 8 8 0
Thursday 10 8 2
Friday 11 8 3
Saturday 2 2 0
Step-by-step explanation:
The remaining part of the question is attached
Solution
A person can work maximum of 8 hours in a day
Overtime paid during week day = 1.5 times of $ 9.50 = $14.25
Overtime paid during weekend = 2 times of $ 9.50 = $19
Day Total hours worked regular hours Overtime hours
Monday 7 7 0
Tuesday 10 8 2
Wednesday 8 8 0
Thursday 10 8 2
Friday 11 8 3
Saturday 2 2 0
1. The regular hours that Robert LaClerq worked is 41 hours (39 for weekdays and 2 for weekend), while the overtime hours is 7 hours.
2. The calculation of Robert's regular pay is $370.50 (39 x $9.50).
3. The calculation of Robert's overtime pay during weekdays = $66.50 (7 x $9.50).
4. The calculation of Robert's overtime pay on weekends = $38.00 (2 x $19.00).
What is Overtime Pay?Overtime pay is the wage payment to an earner for working above the normal (regular) working hours.
Data and Calculations:Wages per hour for regular hours = $9.50
Overtime pay during weekdays = $9.50 per hour
Overtime pay during weekends = $19 per hour ($9.50 x 2)
Day Total hours Regular Overtime
worked hours hours
Monday 7 7 0 (7 - 7)
Tuesday 10 8 2 (10 - 8)
Wednesday 8 8 0 (8 - 8)
Thursday 10 8 2 (10 - 8)
Friday 11 8 3 (11 - 8)
Saturday 2 2 0 (2 - 2)
Total hours 48 41 7
Thus, Robert's total earnings for the week is $475 ($370.50 + $66.50 + $38.00).
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Use the drop-down menus below to state the sequence of transformations that maps
Figure V onto Figure W in the animation below. Then use those transformations to
determine: are the two figures congruent? Use the drop-down menus to explain why
or why not.
Answer:
nonrigid and segement lengths
Step-by-step explanation:
4 A roll of paper is shown below.
Tube
About how much cardboard is needed to make the inner tube for a roll of paper if the tube
has a diameter of 4.5 cm and is 24 cm long?
F 339 cm2
G 679 cm2
H 371 cm2
J
382 cm2
Answer:
339 cm²
Step-by-step explanation:
Using the relation for the surface area of a cylinder :
A = 2πrh
r = Radius = diameter / 2 = 4.5 / 2 = 2.25 cm
Height, h = 24 cm
A = 2 * 22/7 * 2.25 * 24
A = 339.29200 cm²
Surface Area =339 cm²
About 339cm³ of cardboard will be needed for the inner tube.
To make inner tube card board needed is 339 cm² of the material.
What is Surface area ?The surface area of a solid object is a measure of the total area that the surface of the object occupies.
Here, diameter = 4.5 cm
then, radius = 4.5/2 = 2.25 cm
height = 24 cm
Surface area = 2πrh
= 2 X 3.14 X 2.25 X 24
= 339.12 cm²
Thus, to make inner tube card board needed is 339 cm² of the material.
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PLZZ HURRY NO LINKS!!!! Joseph attends a school that has 800 students. He is in charge of school dances this year. He surveyed a random sample of 100 students and got the following feedback.
710
of the students would attend any of the dances held at the school
25
of the students would like to have pizza served at the dances
410
of the students would attend a square dance
64% of the students think that the dances should be held after football games
18% of the students are not allowed to attend dances at school
Which THREE statements are supported by Joseph's data?
A
Out of 800 students, Joseph could expect around 480 students to attend a square dance.
B
Joseph should plan for around 560 students at each dance based on the data.
C
Joseph found that no more than 320 students would want pizza at the school dance.
D
Out of the 800 students, 288 do not like to attend dances after the football games.
E
The dances will be attended by around 700 of the students that attend the schoo
Answer: I got answers A, B and E
Step-by-step explanation:
The correct three statements are supported by Joseph's data are as follows;
Joseph should plan for around 560 students at each dance based on the data.
The dances will be attended by around 700 of the students that attend the school.
Out of the 800 students, 288 do not like to attend dances after the football games.
What is the data set?A data set is a collection of numbers or values that relate to a particular subject.
Joseph attends a school that has 800 students. He is in charge of school dances this year.
He surveyed a random sample of 100 students and got the following feedback.
7/10 of the students would attend any of the dances held at the school.2/5 of the students would like to have pizza served at the dances.4/10 of the students would attend a square dance.64% of the students think that the dances should be held after football games.18% of the students are not allowed to attend dances at school.1. Here 7/10 of the students would attend any of the dances held at the school.
[tex]=\dfrac{ 7}{10}\times 800\\\\= 7 \times 80\\\\= 560[/tex]
Joseph should plan for around 560 students at each dance based on the data.
2. 18% of the students are not allowed to attend dances at school.
[tex]= (1-0.18)\times 800\\\\= 0.82 \times 800\\\\=656[/tex]
The dances will be attended by around 700 of the students that attend the school.
3. 64% of the students think that the dances should be held after football games.
[tex]=(1-0.64 )\times 800\\\\= 0.36 \times 800\\\\=288[/tex]
Out of the 800 students, 288 do not like to attend dances after the football games.
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ACELLUS PLZ HELP ASAP
6101
4629
10730
What is the probability that a given student is a
graduate, given that he or she is on financial aid?
Answer:
The probability that a given student is a graduate, given that he or she is on financial aid, is 30.8%.
Step-by-step explanation:
To determine what is the probability that a given student is a graduate, given that he or she is on financial aid, the following calculation must be performed:
6101 = 100
1879 = X
1879 x 100/6101 = X
187,900 / 6101 = X
30,798 = X
Therefore, the probability that a given student is a graduate, given that he or she is on financial aid, is 30.8%.
Answer:
31%Step-by-step explanation:
HELP PLEASE! If 2 answers, I will vote one Brainliest!
Answer:
answer: x = 55
Step-by-step explanation:
Because a triangle will add up to 180 degrees 2 of are angles are given so I will subtract them from 180 for answer so 27 + 98 = 125
180 - 125 = 55 Hope this helps!
Answer:
x = 55°
Step-by-step explanation:
The sum of the 3 angles in a triangle = 180°
Subtract the sum of the 2 angles from 180° for x
x = 180° - (98 + 27)° = 180° - 125° = 55°
What is the probability of getting a heads on a coin and then getting a 5 on a number cube?
Answer:
In probability theory, sample space (also called sample description space[1] or possibility space[2]) of an experiment or random trial is the set of all possible outcomes or results of that experiment.[3] A sample space is usually denoted using set notation, and the possible ordered outcomes are listed as elements in the set. It is common to refer to a sample space by the labels S, Ω, or U (for "universal set"). The elements of a sample space may be numbers, words, letters, or symbols. They can also be finite, countably infinite, or uncountably infinite.[4]
For example, if the experiment is tossing a coin, the sample space is typically the set {head, tail}, commonly written {H, T}.[5] For tossing two coins, the corresponding sample space would be {(head,head), (head,tail), (tail,head), (tail,tail)}, commonly written {HH, HT, TH, TT}.[6] If the sample space is unordered, it becomes {{head,head}, {head,tail}, {tail,tail}}.
For tossing a single six-sided die, the typical sample space is {1, 2, 3, 4, 5, 6} (in which the result of interest is the number of pips facing up).[7]
A subset of the sample space is an event, denoted by E. Referring to the experiment of tossing the coin, the possible events include E={H} and E={T}.[6]
A well-defined sample space is one of three basic elements in a probabilistic model (a probability space); the other two are a well-defined set of possible events (a sigma-algebra) and a probability assigned to each event (a probability measure function).
Another way to look at a sample space is visually. The sample space is typically represented by a rectangle, and the outcomes of the sample space denoted by points within the rectangle. The events are represented by ovals, and the points enclosed within the oval make up the event.[8]
Answer:
1/12 or 0.0833333333
Step-by-step explanation:
0.5 probability of getting heads
1/6 probability of getting a 5
1/6 * 1/2 = 1/12
Find the area of the triangle below.
Be sure to include the correct unit in your answer.
m
4yd
14 yd
17 yd
To Find :
The area of triangle whose side are 4 yard, 14 yard and 17 yard.
Solution :
We will use Heron's formula to find area of the triangle.
So,
[tex]s = \dfrac{a+b+c}{2}\\\\s = \dfrac{4+14+17}{2}\\\\s = 17.5[/tex]
Now, heron's formula is :
[tex]A = \sqrt{s(s-a)(s-b)(s-c)}[/tex]
Putting all given values in above equation :
[tex]A = \sqrt{17.5\times (17.5-4)\times(17.5-14)\times(17.5-17)}\\\\A = \sqrt{17.5\times 13.5\times 3.5\times 0.5}\\\\A = 20.33\ yard^2[/tex]
Hence, this is the required solution.
In a class of 50 students, the number of students who offer accounting is twice as the number who offer economics.10 students offer neither of the subject and 5 students offer both subject. (i)illustrate the information on a Venn diagram. (ii) how many students offer accounting? (iii) how many students offer economics? (iv)how many students offer only 1 subject?
The Venn diagram shows that the number of students who offer accounting is 30.
How to explain the Venn diagram?It should be noted that a Venn diagram is an illustration which uses circles to show the relationship between the objects.
The number of students who offer accounting is:
= 25 + 5
= 30
The number of students who offer Economics is:
= 10 + 5
= 15
The number of students who offer only one subject will be:
= 25 + 10
= 35
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) How is the Domain for the function f(x) = (x restricted?
Un industrial obtiene un préstamo de $ 15.000, al 23% anual por el lapso de 5 años. Calcular el monto a la finalización de este tiempo
Answer:
$18,781.5
Step-by-step explanation:
According to the problem, calculation of the given data are as follows,
Loan amount (P) = $15,000
Rate of interest (r) = 23%
Time (t) = 5 years
Let this loan is compounding annually, then the amount after 5 years can be calculated as follows,
Final amount = P [tex](1 + ( r/t))^{t}[/tex]
by putting the value in formula, we get
= $15,000 ( [tex](1 + ( 0.23/5))^{5}[/tex]
= $15,000 × 1.2521
= $18,781.5
Find the surface area of the
regular hexagonal prism.
4 cm 12 cm
3.5 cm
Answer:
the surface of hexagonal prism is 12 cm
Mr. Frankel bought 8 tickets to a puppet show and spent $30. He bought a combination of child tickets for #3 each and adult tickets for $5 each. How many adult tickets did Mr. Frankel buy?
How many adult tickets did he buy
please explain steps
Answer:
3 adult tickets and 5 children tickets.
Step-by-step explanation:
Make a chart:
1 adult + 7 children = 1(5)+7(3) = 26
2 adults + 6 children = 2(5)+6(3) = 28
3 adults + 5 children = 3(5)+5(3) = 30
4 adults + 4 children = 4(5)+4(3) = 32
5 adults + 3 children = 5(5)+3(3) = 34
6 adults + 2 children = 6(5)+2(3) = 36
7 adults + 1 child = 7(5)+1(3) = 38
The answer in bold is the only one that leads to $30, therefore he bought 3 adult tickets and 5 children tickets.