PLZ HELP ASAP!! WILL MARK BRAINLIEST!If the quantity 4 times x times y cubed plus 8 times x squared times y to the fifth power all over 2 times x times y squared is completely simplified to 2xayb + 4xcyd, where a, b, c, and d represent integer exponents, what is the value of a? _______
Numerical Answers Expected!
Answers
a=0.
(4xy^3+8x^2y^5)/(2xy^2) (4xy^3+8x^2y^5)/(2xy^2) Since 2xy^2 is a common factor we have
Go to do 2y+4xy^3
Then do 2y=2x^ay^b
Then Do x^0=x^a
Then, you'll get the answer of a=0.
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As the saying goes, “You can't please everyone.” Studies have shown that in a largepopulation approximately 4.5% of the population will be displeased, regardless of thesituation. If a random sample of 25 people are selected from such a population, what is theprobability that at least two will be displeased?A) 0.045B) 0.311C) 0.373D) 0.627E) 0.689
Isaac works a job that pays him based oncommission. He earns 5% commission on allsales after the first $5000. To determine theamount of sales he earns commission on, heuses the function f(x) = x - 5000. Then he usesa different equation to determine how muchcommission he actually earns, g(x) = 0.05x. Hewants to create a composite that includesboth. What is the composite function?-=
Sketch the region R defined by 1 ≤ x ≤ 2 and 0 ≤ y ≤ 1/x^3 .a. Find (exactly) the number a such that the line x = a divides R into two parts of equal area.b. Then find (to 3 decimal places) the number b such that the line y = b divides R into two parts of equal area.
Answers
Firstly, we can sketch points as
O as (0,0,0)
B as (9,0,9)
E as (9,9,9)
now, we can find vectors
OB=(9,0,9)-(0,0,0)
OB=(9,0,9)
OE=(9,9,9,)-(0,0,0)
OE=(9,9,9)
we can use dot product formula to find angle
now, we can find values
now, we can plug these values
now, we can solve for theta
............Answer
The angle between the diagonal of the cube and the diagonal of one of its faces, with a common vertex, is approximately 1.23096 radians.
How did we get this value?
To find the angle between the diagonal of a cube of side length 9 and the diagonal of one of its faces, we can use trigonometry. Let's call the diagonal of the cube Dc and the diagonal of one of its faces Df.
The diagonal of a cube can be calculated using the Pythagorean theorem in 3D:
Dc =
= √(81 + 81 + 81)
= √(243) = 9√3
The diagonal of one of the cube's faces is simply the side length, which is 9.
Now, to find the angle between them, you can use the dot product formula and the formula for the angle between two vectors:
cos(θ) = (Dc ⋅ Df) / (|Dc| ⋅ |Df|)
Where:
- θ is the angle between the diagonals.
- Dc is the diagonal of the cube (9√3).
- Df is the diagonal of one of the faces (9).
- |Dc| and |Df| are the magnitudes of Dc and Df.
Now, plug in the values:
cos(θ) = (9√3 * 9) / (9√3 * 9)
cos(θ) = 27√3 / (81√3)
cos(θ) = 1/3
Now, you can find the angle θ in radians using the inverse cosine function (cos⁻¹):
θ = cos⁻¹(1/3)
θ ≈ 1.23096 radians
So, the angle between the diagonal of the cube and the diagonal of one of its faces, with a common vertex, is approximately 1.23096 radians.
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Answers
Answer:
$23.64
Step-by-step explanation:
12 * $1.97 = $23.64
Answers
Answer:
If you mean 9 x -2 it's -18
Step-by-step explanation:
Answers
Answer: 8x - 6
Explanation
The |-6| part simplifies to 6. The absolute value removes the negative inside. This is because absolute value represents distance on a number line. The number -6 is 6 units away from 0.
That's how we go from 8x - |-6| to 8x - 6
Since we do not know what x is, we can't simplify further.
Answers
Answer:
56 different ways
Step-by-step explanation:
This is a combination question since it deals with selection. For example, if n objects is to be selected from a pool of r objects, this can be done in nCr different ways.
nCr = n!/(n-r)!r!
According to the question, If the police have 8 suspects, the different number of ways 5 can be selected for a line up is expressed as 8C5
8C5 = 8!/(8-5)!5!
8C5 = 8!/(3!)!5!
8C5 = 8*7*6*5!/3*2*5!
8C5 = 8*7*6/3*2
8C5 = 8*7
8C5 = 56 different ways
Hence, the selection of picking 5 for a line up out of 8 suspects can be done in 56 different ways.
Answers
Answer:
After 4 years working for the company, he would make $79,000 of salary.
His salary after t years will be:
[te]S(t) = 69000 + 2500t[/tex]
Step-by-step explanation:
David just accepted a job at a new company where he will make an annual salary of $69000. David was told that for each year he stays with the company, he will be given a salary raise of $2500.
This means that after t years, his salary will be given by:
[te]S(t) = 69000 + 2500t[/tex]
How much would David make as a salary after 4 years working for the company?
[te]S(4) = 69000 + 2500*4 = 69000 + 10000 = 79000[/tex]
After 4 years working for the company, he would make $79,000 of salary.