Answers
The expression above can be resolved to become; (5a + b)³
According to the question:
We are required to determine resolve the expression as given in the question.To resolve the expression given;
We are required to multiply the polynomials as follows;(5a + b) (25a² + 10ab² + b²)= 125a³ + 50a²b² + 5ab² + 25a²b + 10ab³ + b³However; the expression above can be factorised to become;
(5a + b)³Upon expansion; (5a + b)³ yields the expression gotten earlier;
125a³ + 50a²b² + 5ab² + 25a²b + 10ab³ + b³Learn more about equation:
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Related Questions
Set Question involving real and natural numbers
Answers
Only two real numbers satisfy x² = 23, so A is the set {-√23, √23}. B is the set of all non-negative real numbers. Then you can write the intersection in various ways, like
(i) A ∩ B = {√23} = {x ∈ R | x = √23} = {x ∈ R | x² = 23 and x > 0}
√23 is positive and so is already contained in B, so the union with A adds -√23 to the set B. Then
(ii) A U B = {-√23} U B = {x ∈ R | (x² = 23 and x < 0) or x ≥ 0}
A - B is the complement of B in A; that is, all elements of A not belonging to B. This means we remove √23 from A, so that
(iii) A - B = {-√23} = {x ∈ R | x² = 23 and x < 0}
I'm not entirely sure what you mean by "for µ = R" - possibly µ is used to mean "universal set"? If so, then
(iv.a) Aᶜ = {x ∈ R | x² ≠ 23} and Bᶜ = {x ∈ R | x < 0}.
N is a subset of B, so
(iv.b) N - B = N = {1, 2, 3, ...}
Can someone please me help
Answers
Answer:
Step-by-step explanation:
the answer is 1.1324
1. Which sequence of transformations takes A to its image,B ?
A. reflection over the x-axis and translation 2 units down
B. reflection over the y-axis and translation 2 units down
C. translation 2 units down and 90° rotation about the origin
D. translation 12 units right and 90° rotation about the origin
Answers
Answer:
Second is the correct answer but i think all are correct
Pls help. The question is on the picture
Answers
Answer:
23518
Step-by-step explanation:
1) the total volume can be calculated as the sum of two volumes (for more info see the picture): V=V₁+V₂, where V₁ belongs to the prisma and V₂ - to the cylinder;
2) V₁=a*b*h; V₁=20*20*37=14800 (m³);
V₂=3/4*(π*r²*h); V₂=3/4*3.1415*100*37≈8717,6625 (m³), note the full volume of the cylinder cannot be included into the result, but 3/4 of its volume;
3) finally, V=14800+8717.6625=23517,6625≈23518 (m³).
Answer:
V = 23518 m3
Step-by-step explanation:
The volume of the cube part of building
(20)(20)(37)=14800 cm3
Each cylinder:
h=37/12=3.083 m
r=10 m
[tex]v=\pi (10)^{2} (3.083)=968.66m^{3}[/tex]
all the cylinders:
[tex]v=(12)(968.66)=11,623.89cm^{3}[/tex]
Total volume.
[tex]V=14800+\frac{3}{4} (11,623.89)[/tex]
[tex]V=14800+8717.92=23,517.92[/tex]
nearest m3:
[tex]V=23518m^{3}[/tex]
I hope this help you
A restaurant has an electronic system that randomly selects customers when they pay for their meal to receive a coupon for their next visit. Each customer has a 10\%10%10, percent probability of being selected to receive a coupon, and one customer being selected or not doesn't affect whether or not another customer will be selected.
Suppose that 222 customers pay for their meals, one after the other.
What is the probability that NEITHER customer is selected to receive a coupon?
Round your answer to two decimal places.
Answers
Answer:
Step-by-step explanation:
Using the binomial distribution, it is found that there is a 0.81 = 81% probability that NEITHER customer is selected to receive a coupon.
For each customer, there are only two possible outcomes, either they receive the coupon, or they do not. The probability of a customer receiving the coupon is independent of any other customer, which means that the binomial distribution is used to solve this question.
Binomial probability distribution
0.81 = 81% probability that NEITHER customer is selected to receive a coupon.
multiply
( 2 x – y ) ( 3 x + y )
Answers
Tell me if you want step by step!!
Hope this helped. :)
[tex](2x-y)(3x+y)\\\\=2x(3x+y) -y(3x+y)\\\\=6x^2 +2xy - 3xy -y^2\\\\=6x^2 -xy -y^2[/tex]
Suppose that the universal set U is the set of all even integers from 1 to 16 inclusively and A={2,4,8,16}. Find Ac by using a Venn diagram.
Answers
Answer:
Correct answer is {6,10,12,14}
Step-by-step explanation:
Find the values of p and q so that (-2,5) is the midpoint of the segments joining points (p,p+q) and (p+4, 3q+6)
Answers
Answer:
Step-by-step explanation:
( [tex]x_{1}[/tex] , [tex]y_{1}[/tex] ) and ( [tex]x_{2}[/tex] , [tex]y_{2}[/tex] )
midpoint is ( [tex]\frac{x_{1} +x_{2} }{2}[/tex] , [tex]\frac{y_{1} +y_{2} }{2}[/tex] )
~~~~~~~~~~~~~
( p , p + q )
( p + 4 , 3q + 6 )
( p + p + 4 ) ÷ 2 = - 2
p = - 4
( - 4 + q + 3q + 6 ) ÷ 2 = 5
2q = 4
q = 2
How do you multiply 47.5 by 28
Answers
Answer: uhhhh
Step-by-step explanation:
Answer:
Step-by-step explanation:
1330 is the answer
Suppose that Marlie had decided to apply for a private loan rather than a federal loan. She has
been offered a private loan for 10 years with an APR of 7.8%.
a. Determine her monthly payment.
b. What is the total amount she will pay back?
c. What is the total interest amount?
Answers
Using simple interest, and considering a loan of $5,000, it is found that:
a) Her monthly payment is of $74.17.
b) She will pay back $8,900.
c) The total interest amount is of $3,900.
The amount of money after t years in simple interest is modeled by:
[tex]A(t) = A(0)(1 + rt)[/tex]
In which:
A(0) is the initial amount. r is the interest rate, as a decimal.In this problem:
The loan is of $5,000, hence [tex]A(0) = 5000[/tex].The APR is of 7.8%, hence [tex]r = 0.078[/tex]10 years, hence [tex]n = 10[/tex]Item b:
[tex]A(10) = 5000[1 + 0.078(10)] = 8900[/tex]
She will pay back $8,900.
Item a:
$8,900 will be paid in 10 x 12 = 120 months, hence:
[tex]M = \frac{8900}{120} = 74.17[/tex]
Her monthly payment is of $74.17.
Item c:
Loan of $5,000, pays back $8,900, hence:
8900 - 5000 = 3,900
The total interest amount is of $3,900.
A similar problem is given at https://brainly.com/question/13176347
answer????plssssssss i will give money
Answers
Answer:
62.3538290725
Step-by-step explanation:
Sorry That All I Could Get For You
Answer:
gimme money
Step-by-step explanation:
Consider the expression 8ab + 3b + 16 - 4a. (a) How many terms are there? (b) How many factors are in the first term? Identify them. (c) Which term is a constant? pls do this fast
Answers
a. There are 4 terms in the expression
b. There are 3 factors in the first term.
c. The constant is 16.
8ab + 3b + 16 - 4a
A term is any signed number, a variable, or a constant multiplied by a
variable or variables.
Therefore, the terms are 8ab, 3b, 16, and -4a. The terms are 4 in numbers.
The first term is 8ab .The first term has the factors 8 , a and b. This means the first term have 3 factors.
The term that is a constant is 16
read more: https://brainly.com/question/25736532?referrer=searchResults
A car is travelling at a constant speed until the car’s brakes are applied. The car’s speed changes at a rate given by -0.08t ms^{-2} after the brakes are applied, where t s is the time since the brakes were applied. 3 seconds after the brakes are applied, the speed of the car is 5 ms^{-1} . How far will the car travel with the brakes applied before it stops?
Answers
The car will travel a distance of 52.08 seconds will the brakes applied before it stops
The acceleration of the car after t seconds that the brake was applied is given as:
[tex]a=-0.08t m/s^2[/tex]
The speed of the car after 3 seconds that the brake was applied, u = 5 m/s
The speed of the car when it eventually stops, v = 0m/s
3 seconds after the brake was applied:
The time, t = 3 seconds
substitute t = 3 into the acceleration [tex]a=-0.08t m/s^2[/tex]
[tex]a=-0.08(3)m/s^2\\\\a = -0.24m/s^2[/tex]
To calculate the distance traveled by the car after the brakes are applied, use the equation below
[tex]v^2=u^2+2as[/tex]
Substitute u = 5, a = -0.24, and v = 0 into the equation above in order to calculate the distance
[tex]0^2=5^2+2(-0.24)s\\\\0=25-0.48s\\\\0.48s = 25\\\\s = \frac{25}{0.48}\\\\s = 52.08 m[/tex]
The car will travel a distance of 52.08 seconds will the brakes applied before it stops
Learn more here: https://brainly.com/question/25597363
Solve ^3/x^2-8=2 pls help
Answers
Answer:
its the first one
Step-by-step explanation:
WHICH OF THE FOLLOWING IS NONLINEAR FUNCTION?
Answers
Answer:
Option A.
Step-by-step explanation:
Try To Cross Check It 1st
4. Dexter has 36 pets. He has 3 times as
many fish as mice and half as many
cats as mice. How many of each pet
does Dexter have?
Answers
Answer:
the answer is 162 I used a calculator this app is so cool
fill in the missing value in each equation:
a)0.25+_____=0
b)-5×_____=-5
c)_____×-6=0
Answers
Answer:
a) -0.25
b) 1
c)0
Step-by-step explanation:
a) 0.25 + (-0.25)=0
b) -5*1=-5
c) 0*(-6)=0
Consider function f.
Which graph represents function f?
A. W
B. X
C. Y
D. Z
Answers
Answer:
W
Step-by-step explanation:
I got a 100% on my test
Each element of X receives exactly one element of Y when a function from one set to the other is used. W graph illustrates the function f.
Explain about the function?
An expression, rule, or law in mathematics that establishes the relationship between an independent variable and a dependent variable (the dependent variable).
An example of a rule is a function, which yields one output from a single input. The picture was obtained from Alex Federspiel. The equation y=x2 serves as an example of this. There is only one output for y for every input for x. We would say that y is a function of x since x is the input value.
A function is a relationship between a collection of inputs and a set of potential outputs, where each input is connected to exactly one output, in accordance with a technical description.
To learn more about function refer to:
https://brainly.com/question/25638609
#SPJ2
please help.. no links
Answers
Answer:
The first answer
Step-by-step explanation:
Lin father is paying for a 20 meal he has a 15 off coupon for the meal what is the total after the discount
Answers
Answer:
3
Step-by-step explanation:
20÷100=0.2
0.2×15=3
:)
Answer:
Lin's father would pay $17 for his meal.
Step-by-step explanation:
15*20 = 300
300/100 = 3
20 - 3 = 17
Find Surface Area Of This Triangular Prism
Answers
Answer:
325 cm²
Step-by-step explanation:
find area of each side even those that are not shown. then add the areas
Jose is 52 inches tall and is growing 0.25 inches each month. Jacob is 54 inches tall and is growing 0.1 inches each month. How many months, x, will it take for Jose to be the same height as Jacob?
Answers
Answer:
who measures someone's height in inches
Step-by-step explanation:
the answer is 14
It will take 13.3 months for Jose to be the same height with Jacob.
x = number of month
The height equation for Jose:Jose is already 52 inches tall and growing at 0.25 inches per month. Therefore, his height is represented as follows
h(x) = 52 + 0.25(x)The height equation for Jacob:
Jacob is already 54 inches tall and growing at 0.1 inches per month. Therefore, his height is represented as follows
h(x) = 54 + 0.1xFor both to have the same height,
52 + 0.25x = 54 + 0.1x
52 - 54 = 0.1x - 0.25x
-2 = -0.15x
x = -2 / -0.15
x = 13.3333333333
x = 13.3 months
learn more linear equation here: https://brainly.com/question/19704985?referrer=searchResults
3. Consider the system { 9x – 12y = b
3x – 4y = 10
For what value of b will the system have infinitely many solutions?
Answers
Answer:
B=30
Step-by-step explanation:
Like and give 5 star rating
Answer:
b = 30
Step-by-step explanation:
all terms in the first equation will be three times the related terms in the second equation.
Then the two equation describe the same infinite line and any x,y pair that fits on one line will also fit on the other.
Dwayne read 3/8 of a chapter of his history book in 1/5 of an hour. At this rate, how many chapters of his history book can he read in 1 hour?
Answers
Answer:
1 7/8 (1, 2)
Step-by-step explanation:
60/5=12 so dwayne reads 3/8 chapter per 12 minutes
12/3=4 so dwayne reads 1/8 chapter per 4 minutes
4x8=32 dwayne reads a chapter per 32 minutes.
2x32=64 and got 4 minute extra which is the time for dwayne to read 1/8 chapter
So Dwayne can read 1 7/8 chapter in 1 hour, if rounding off then 2 chapters, if only an entire chapter counts then 1
Hurry help plz
Solve for an angle in right triangles
Answers
[tex]\cos \angle B = \dfrac{2}{7}\\\\\implies \angle B = \cos^{-1} \left( \dfrac{2}{7} \right) = 1.28^{\circ}[/tex]
Find x: 8^2^x=4
pls help!
Answers
Answer:
x = 1/3
Step-by-step explanation:
assuming this is saying (8^2)^x = 4
2^6x = 4
2^6x = 2^2
6x = 2
x = 1/3
Write 5 • 5 • 5 • 5 • 5 • 5 • 5 using an exponent.
Answers
Answer:
5^6
Step-by-step explanation:
5 was multiplied repeatedly 6 times, so it's 5 to the power of 6
Answer:
5 to the power of 6 or 5^6
Step-by-step explanation:
I will mark brainlist
Determine whether points A, B, and C can be vertices of a triangle. If so, classify the triangle as acute, right, or obtuse.
A (3,1); B (5,6); C (4,2)
Acute
Right
Obtuse
None of these
Answers
Answer:
A Obtuse, B Acute, C Right I think its right
Step-by-step explanation:
1cm +4cm+2cm+1.5cm+2.5cm
find its perimeter
Answers
Answer:
11 cm
Step-by-step explanation:
add whole numbers
1 + 4 + 2 = 7
add decimal numbers
1.5 + 2.5 = 4
add the answers
7 + 4 = 11
have a splendid day <3
Answer:
11cm
Step-by-step explanation:
To find perimeter, you simply just add each of the side lengths.
To make this easier to read, lest group some of the terms
1cm + 4cm = 5cm
2cm + 1.5cm = 3.5cm
5cm + 3.5cm = 8.5cm
8.5cm + 2.5cm = 11cm
The five terms are bolded to make sure that we added each term in the sum.
product of x and 4 is decreased by one-quarter
Answers
Answer:
x
Step-by-step explanation:
x times 4 = 4x
4x in 4 quarters: x x x x
One quarter^^ = x