Answer:
Step-by-step explanation:
Observe that [tex]y^6-64=y^6-2^6.[/tex]
And you factor out using this expression:
[tex](a^6-b^6)=(a-b)(a^5+a^4b+a^3b^2+a^2b^3+ab^4+b^5)[/tex]
Take a=y and b=2.
Answer:
(y - 2)(y + 2)([tex]y^{4}[/tex] + 4y + 16)
Step-by-step explanation:
[tex]y^{6}[/tex] - 64 ← is a difference of cubes and factors in general as
a³ - b³ = (a - b)(a² + ab + b²) , then
[tex]y^{6}[/tex] - 64
= (y² )³ - 4³
= (y² - 4)([tex]y^{4}[/tex] + 4y + 16) ← note y² - 4 is a difference of squares
= (y - 2)(y + 2)([tex]y^{4}[/tex] + 4y + 16)
Logic, Reasoning and Puzzles Assignment
Solving a Payment Puzzle
A wealthy and generous owner of an Internet company offers two
options of payment to her new vice president.
Option 1: a monthly salary
of $50000 per month paid
at the beginning of each
month
Name: Yaseen
Option 2: a monthly salary
based on 1¢ the first day,
2¢ the second day, 4c the
third day, 8¢ the fourth day,
and so on. The monthly salary
will be the amount calculated
for the last day of the month.
Assume there are 30 days in the month.
A. How can you calculate the vice president's earnings under
Option 2?
B. Compare the monthly earnings for the two options.
1.9
C. Which payment option would you take if you were the vice
president? Why?
Answer:
very long question
Step-by-step explanation:
What information will be useful to know to answer the main question? How can you get it? How will you use that information
Answer:
Step-by-step explanation:
Can u give more detail as to what the question is asking pease
Consider a situation in which P(A) = , P(C) = , and P(A and B) = . What is P(B and C)?
The probability of P(B and C) is 1/6
What is probability?Probability is the branch of mathematics concerning numerical descriptions of how likely an event is to occur, or how likely it is that a proposition is true.
A number between 0 and 1 is the probability of an event, where, broadly speaking, 0 denotes the event's impossibility and 1 denotes its certainty. It is more likely that an event will occur if its probability is higher.
For e.g., A straightforward illustration is tossing a fair (impartial) coin.
Given that, the probabilities, P(A) = 1/8, P(C) = 1/4, and P(A and B) = 1/12
P(A and B) = P(A)×P(B)
Therefore,
1/12 = 1/8 × P(B)
P(B) = 8/12 = 2/3
Now,
P(B and C) = P(C)×P(B)
P(B and C) = 1/4×2/3
P(B and C) = 1/6
Hence, P(B and C) = 1/6
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if john makes $55 working 2 hours , how much would he make working 8 hours ?
Answer:
$220
Step-by-step explanation:
Find the amount of money John makes in one hour:
[tex]55\div2=27.5[/tex]
[tex]=27.5[/tex]
John makes $27.50 an hour, now multiply the amount of money earned per hour, by the number of hours he worked.
[tex]27.50\times8=220[/tex]
[tex]=220[/tex]
John made "$220 dollars an hour."
Hope this helps.
Here are the two sums
2/7 + 1/4 and 5/6 - 1/4
A. B
Which of the two sums is closer in value to 1/2?
You must show your working and state clearly whether the answer is A or B.
Note: Please use the “/“ key of your keyboard to enter the fractions (e.g. 2/7 as 2/7)
On solving the provided question, we can say that - the value of the fraction will be 1/4
what is fraction?Any number of equal portions, or fractions, can be used to represent a whole. Fractions in standard English indicate how many units of a certain size there are. 8, 3/4. A whole includes fractions. The ratio of the numerator to the denominator is how numbers are expressed in mathematics. Each of these is an integer in simple fractions. In the numerator or denominator of a complex fraction is a fraction. True fractions have numerators that are less than their denominators. A fraction is a sum that constitutes a portion of a total. By breaking the entire up into smaller bits, you can evaluate it. Half of a full number or item, for instance, is represented as 12.
here,
x + x = 1/2
2x = 1/2
x = 1/4
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factor each square root
0.7 times square root of 300
-0.125 times square root of 192
Answer:
To factor the first expression, "0.7 times square root of 300", we can rewrite it as:
0.7 * sqrt(300)
The prime factorization of 300 is 2 * 2 * 3 * 5 * 5, so we can rewrite the expression as:
0.7 * sqrt(2 * 2 * 3 * 5 * 5)
Since the square root of a number is the same as the square root of that number's prime factorization, we can rewrite the expression as:
0.7 * sqrt(2) * sqrt(2) * sqrt(3) * sqrt(5) * sqrt(5)
Combining like terms, we get:
0.7 * 2 * sqrt(2) * sqrt(3) * sqrt(5)
= 1.4 * sqrt(2) * sqrt(3) * sqrt(5)
This is the fully factored form of the expression "0.7 times square root of 300".
To factor the second expression, "-0.125 times square root of 192", we can rewrite it as:
-0.125 * sqrt(192)
The prime factorization of 192 is 2 * 2 * 2 * 2 * 2 * 2, so we can rewrite the expression as:
-0.125 * sqrt(2 * 2 * 2 * 2 * 2 * 2)
Since the square root of a number is the same as the square root of that number's prime factorization, we can rewrite the expression as:
-0.125 * sqrt(2) * sqrt(2) * sqrt(2) * sqrt(2) * sqrt(2) * sqrt(2)
Combining like terms, we get:
-0.125 * 6 * sqrt(2)
= -0.75 * sqrt(2)
This is the fully factored form of the expression "-0.125 times square root of 192".
Answer:
for the second one the answer is - square root of 3
Step-by-step explanation:
i could only solve the second one sorry
plzzz a n s w e r thiss
Answer:
oki! Mizuki is here to help!
The answer is 61 cars!
Step-by-step explanation:
First, let's find how much money she needs to earn!
105 + 500 = 605
Then, we will divide the amount she needs to earn by the amount per each car!
605 ÷ 10 = 60.5
We get 60.5 As an answer but... since we must wash a whole car, we will round it up and get 61 cars as the answer!
Write 12% as a simplified ( reduced ) fraction
Answer:
3/25
Step-by-step explanation:
12% is equal to 0.12, which is equal to 12/100.
Simplify.
12/100
Divide numerator and denominator by 2.
6/50
Divide numerator and denominator by 2.
3/25.
Please help
write in terms of i
simplify your answer as much as possible
Answer:
2i[tex]\sqrt{14}[/tex]
Step-by-step explanation:
What is the volume of cylinder b=11 h=6
Answer:
Step-by-step explanation:
2280.796
WILL MARK BRAINLIEST!
Solve for X in Parallelogram HGFE.
Find the common difference if the 8th term is 55 and the first term is 13
Answer:
Step-by-step explanation:
Equation
L = a + (n - 1)*d
Givens
L = 55
a = 13
n =8
Solution
55 = 13 + (8 - 1)*d Combine
55 = 13 + 7d Subtract 13 from both sides
55 - 13 = 7d
42 = 7d Divide by 7
d = 6
Verify that sec^2 xsin^2 x = tan^2 x
Here's the solution,
[tex] \sec {}^{2} (x) \times \sin {}^{2} (x) = \tan {}^{2} (x) [/tex][tex] \dfrac{1}{ \cos {}^{2} (x) } \times \sin {}^{2} (x) = \tan {}^{2} (x) [/tex][tex] \dfrac{ \sin {}^{2} (x) }{ \cos {}^{2} (x) } = \tan {}^{2} (x) [/tex][tex] \tan {}^{2} (x) = \tan {}^{2} ( { {x}^{} }^{} ) [/tex]if each interior angle of a polygon is 144 . find the polygon
Answer:
Decagon
Step-by-step explanation:
Since the interior angle is 144 degree, each exterior angle is 180 - 144 = 36 degrees.
For any convex polygon (in particularly, for any regular polygon) the sum of exterior angles is 360 degrees.
Hence, the number of sides = the number of vertices = 360/36 = 10.
Answer. Your polygon is decagon with 10 sides (vertices).
Would be amazing if you marked this brainliest
How do you find the rate of change in a parabola?
I need to know ASAP
Answer:
Pick 2 points on the parabola and find the slope by using those two points.
The slope formula is (y2-y1)/(x2-x1)
Step-by-step explanation:
Hep me please i would really appreciate it
Answer:
Part A: 4,300 ≥ 2500 + 0.12s
Part B: Less than or equal to $15,000
Part C: In the image
Step-by-step explanation:
For Part A: The total needs to be at least 4,300. So 4,300 is greater than or equal to how much she earns. 2,500 is the base pay, and it is added to 0.12s, which represents 12% of sales (s).
For Part B:
Using the inequality, solve for s
4,300 ≥ 2500 + 0.12s
Subtract 2500 from both sides
1800 ≥ 0.12s
Now divide both sides by 0.12 to isolate s
15000 ≥ s
So sales must be less than or equal to 15000.
Part C:
A flexible metamateria/ is developed for use in robotics and prosthetics. A block of metamaterial is in the shape of a cube with a surface area of 600 square centimeters. What is the edge length of the block of metamaterial?
The edge of a block of metamaterial is 10 centimeters.
What is surface area of a cube?The surface area of the cube all six faces of the cube are made up of squares of the same dimensions then the total surface area of the cube will be the surface area of one face added six times to itself. The formula to find the surface area of a cube is 6a², where a is edge.
Given that, a block of metamaterial is in the shape of a cube with a surface area of 600 square centimeters.
Here, 6a²=600
a²=100
a=10 centimeters
Therefore, the edge of a block of metamaterial is 10 centimeters.
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What percent of the respondents feel that they expert player
its 68
The expert part says 68
A bus rental company charges $60 for booking a bus and $120 for each hour the bus is rented. A tour group pays $780 to rent a bus. HELP WANTED TY!!
Select the equation that represents the given situation and find the number of hours the tour group rented the bus.
A. 60x + 120 = 780 ; 11 hours
B. 60x + 120 = 780 ; 6 hours
C. 120x + 60 = 780 ; 11 hours
D. 120x + 60 = 780 ; 6 hours
Answer:d. 120x+60=780
Step-by-step explanation:
120 cost per x hours
Flat Rental cost 60
120x+60=780
-60 as the flat rate which won’t change based on time.
120x=720
Divided by a rate of 120 per hour
x=6 hours
Jaden makes 63% of the free throws he shoots. About how many shots do you predict he will have to take to make 15 free throws?
Answer:
24 shots
Step-by-step explanation:
[tex]\frac{15}{y}= \frac{63}{100}[/tex]
y × 63 = 15 × 100
63y = 1500
63y ÷ 63 = 1500 ÷ 63
[tex]y=23\frac{17}{21}[/tex]
Other than itself, which angle is congruent to GDA?
Hafiz has $25. His sister has 1/5 as much as Hafiz. His father has 40% as much as Hafiz. Calculate how much money Hafiz, his sister and his father have in total.
please answer it
Answer:
Step-by-step explanation:
According to question, we know that
His Sister has "1/5*$25 which is equal to $5, and his father has "40%*$25 which is equal to 0.4 * $25 = $10". So, the money Hafiz, his sister and his father have in total
= $25+$5+$10 = $40
Hafiz = $25
Sister = [tex]\frac{1}{5}[/tex]
Father = 40%
FindTotal money of Hafiz, Sister, and Father altogether.
SolutionSister[tex]\frac{1}{5} X[/tex] $25
= $5
Father40% (0.4) x $25
= $ 10
Add all$ 25 + $ 5 + $ 10
Answer$ 40A company supplying candy to school vending machines needs to know about candy preferences of middle school and high school age students. A random sample of 400 students was taken. The company wants to know if there is any relationship between the candy choices and the age of students. After performing a chi-square test of independence, the chi-square test statistic = 24.68. The appropriate critical value for df and desired alpha level = 11.34.
Is there sufficient evidence to reject the null hypothesis? Explain.
Answer:
Yes
Step-by-step explanation:
The chi-square test statistic = 24.68.
The critical value for df = 11.34.
Since the calculated value of the chi square falls in the critical region it is concluded that the two variables are dependent.
1) The null and alternative hypotheses are
H0: candy preferences of students is independent of age.
Ha: candy preferences of students is not independent of age.
As the calculated value χ² = 24.68 lies in the critical region χ² ≥χ² =11.34, null hypothesis is rejected.
Therefore, we conclude that there is not enough evidence to accept the null hypothesis .
can someone please help me with this. whoever answers first will be the brainleyist
Answer:
Step-by-step explanation:
6(5+x) = 30 + 6x
1. Distribute the 6 to both the 5 and the x.
7x5x3 = 105
1. Just multiply them together.
28 - 3(2+4)/9 = 26
1. PEMDAS
2. Add inside the parenthesis: 28 - 3 x 6 / 9
3. Multiply: 28 - 18 / 9
4. Divide: 28 - 2
5. Subtract: 26
Twice the sum of a number
and -8.
Answer:
2x-8 is there more to the question?
factorise each of the following
a2+9a+8
Answer:
Step-by-step explanation:
I suppose the expression is this [tex]a^2+9a+8.[/tex]
We can factor out this expression ( Remember, find two numbers that the sum is 9 and the product is 8. The numbers are 8 and 1)
[tex]a^2+9a+8=(a+1)(a+8)[/tex]
Which statements are true about a triangular pyramid? Check all that apply
It has exactly to faces that are triangles.
has exactly three faces that are triangles.
It has exactly four faces that are triangles
chas 4 vertices
it has 5 faces
It has 6 edges
Answer:
✔︎ C) It has exactly four faces that are triangles.
✔︎ D) It has 4 vertices.
✔︎ F) It has 6 edges.
༄❁༄❁༄❁༄❁༄
hope it helps...
have a great day!!!
Answer:
C) It has exactly four faces that are triangles.
D) It has 4 vertices.
F) It has 6 edges.
Step-by-step explanation:
hope it helps..
(3,-3) m= -2/3
Formula
Y-Y1= m(x-x1)
slope form -
y - y1 = m(x - x1)
y - (-3) = -2/3(x - 3)
y + 3 = -2/3x + 2
y = -2/3x - 1
A committee must be formed with 3 teachers and 3 students. If there are 10 teachers to choose from, and 9 students, how many different ways could the committee be made?
Answer:
i dont know
Step-by-step explanation:
sorry big homie on school
Which symbol makes the number sentence true?
-2.5O 10/4
A. <
B. >
C. =
Answer: I'm sorry if it's wrong I'm pretty sure it's ≥ if not I'm sorry
Step-by-step explanation: