Answer:
The difference is a binomial with a degree of 6
Step-by-step explanation:
Given:
a^3b + 9a^2b^2 − 4ab^5 and a^3b − 3a^2b^2 + ab^5
Let A = a^3b + 9a^2b^2 - 4ab^5
B= a^3b - 3a^2b^2+ab^5
The difference between A and B is
A - B = a^3b + 9a^2b^2 - 4ab^5 - (a^3b - 3a^2b^2 + ab^5)
Open parenthesis
A - B= a^3b + 9a^2b^2 - 4ab^5 - a^3b + 3a^2b^2 - ab^5
= a^3b - a^3b + 9a^2b^2 + 3a^2b^2 - 4ab^5 - ab^5
= 12a^2b^2 - 5ab^5
The fist term 12a^2b^2 has 2+2=4 as a degree
The second term 5ab^5 has 1 +5 =6 as a degree
Therefore,
the answer is: The difference is a binomial with a degree of 6
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the answer is B >:(
In the proportion 15/3 = v/7 , which number is equal to y in the proportion ?
Answer:
3
Step-by-step explanation:
Answer:
y=3
Step-by-step explanation:
Speed. One car travels 12 mph faster than another. While one car
travels 141 mi, the other travels 105 mi. How fast is each car
traveling?
Answer: the speeds of the cars are 47mph for the faster one, and 35mph for the slower one.
Step-by-step explanation:
Here you must remember the relation:
Speed = distance/time.
So we have car A and car B, with Sa the speed of car A, and Sb the speed of car B.
We know that:
Sa = Sb + 12mph.
and in the same time T, car A travels 141mi, while car B travels 105mi, then we have:
Sa*T = 141mi
Sb*t = 105mi
we can take the quotient of those two and get:
(Sa/Sb) = 141/105.
now we can replace Sa by Sa = Sb + 12mph.
(Sb + 12mph)/(Sb) = 141/105.
Sb + 12mph = (141/105)*Sb
Sb*(141/105 - 1) = 12mph
Sb = 12mph/(141/105 - 1) = 35mph.
and we know that:
Sa = Sb + 12mph = 35mph + 12mph = 47mph.
PLEASE HELP ASAP!! I WILL GIVE U BRAINLIEST, PLZ SOLVE A person places a mirror between herself and a building. The mirror is 17.5 meters from the building. When she is 3 meters away from the mirror, she can see the top of the building in the corner of the mirror. If she is 2 meters tall, how tall is the building? Round your answer to the nearest hundredth. Enter your answer as a number. For example, if your answer is 14.5 meters, enter 14.5
Answer:
11.6
Step-by-step explanation:
There are 2 traingles one from the person to bottom of mirror and one from the bottom of the mirror to the top of the building
these are conjugate triangles so if the 3m represents 17.5
what does the 2 m represent?
2*17.5/3=35/3=11 2/3 so 11.6
A recipe requires 1.5 kilograms of eggs. How much is this in pounds? 0.15 0.7 1.5 2.2 3.3
Answer:
3.3 Pound
Step-by-step explanation:
in this problem we have to convert kilogram value to its equivalent pound value.
we know
1 KG = 2.205 Pound
since we have to find value of 1.5 kg
we multiply both LHS and RHS by 1.5
1 * 1.5 KG = 2.205 * 1.5 Pound
=> 1.5 KG = 3.307 Pound.
Since , in option value is rounded to 1 decimal place,
hence correct choice is 3.3 Pound
**true or false**
all functions are relations but not all relations are functions
explain
Answer:
This is true
Step-by-step explanation:
because every function creates by making an one way relation. But relation makes from both side for that reason all relation are not function
PLEASE HELP!!!!!
Which of the following similarity statements is formatted
correctly?
Triangle MNO = PQR
Triangle MNO ~ PQR
Triangle MNO = Triangle PQR
Triangle MNO ~
Triangle PQR
Answer:
option c is the correct ans as there is given similar sign with two triangle.
Bryan plans to save the same amount of money for 5 weeks. He wants to buy a new sweatshirt for $95 and a beanie for $30. How much money should he save each week to buy both items?
Answer:
$25
Step-by-step explanation:
95+30= 125
125/5= 25
The function h = -16t + 240t represents the height h (in feet) of a rocket t seconds after it is launched. The rocket explodes at its highest point. after how many seconds does the rocket explode
The height of the rocket at time t is given by the function h = -16t + 240t. The rocket explodes at its highest point, which occurs at the vertex of the parabolic path described by this function.
The vertex of the parabola h = -16t^2 + 240t can be found using the formula t = -b/2a, where a is the coefficient of the squared term (-16 in this case) and b is the coefficient of the linear term (240 in this case).
In this case, a = -16 and b = 240, so the time t at which the rocket reaches its highest point is:
t = -b / 2a
t = -240 / (2 * -16)
t = -240 / -32
t = 7.5
Therefore, the rocket reaches its highest point 7.5 seconds after it is launched, and it explodes at this point.
Note that the negative value for t obtained in the equation t = -b/2a is ignored in this case, since time cannot be negative.
Penny received an unexpected $5,000.00 gift from a distant relative. She invests it in a mutual fund that increases the value of the original investment by 8% each year. In 15 years, Penny hopes to have $40,000 available to make a down payment on a house. How much would she need to invest right now in order to have enough for her down payment in 15 years?
Answer:
Penny would need to put in ~ $18,181.82
Step-by-step explanation:
Using the equation [tex]A = P(1+rt)[/tex]
Where A = the total
P is equal to the starting amount
r is equal to the rate (percent)
and t is equal to the total time.
We can put in:
A = $40,000
r = 0.08 (8%)
t = 15
[tex]40,000 = P(1 +(0.08* 15))\\40,000 = P(1+1.2)\\40,000 = P(2.2)\\\frac{40,000}{2.2} = P\\ \frac{200,000}{11} = P\\P = $18181.8181818181...[/tex]
Round to the nearest whole cent
P = $18,181.82
I need help with this problem, if anyone could help ASAP, that would be much appreciated. In the figure below, mROP = 125° Find the measure of each arc. For each arc, write two or more complete sentences explaining which theorem or postulate you used to find your answer. Include your equations and calculations in your final answer. find mRP, MQS, MPQR, and MRPQ
Answer:
see below
Step-by-step explanation:
mROP= 125°
mSOQ= mROP= 125°
mROQ=mPOS= 180°-125°= 55°
Sum of measures of all arcs in the circle= 2π
mRP= mQS=2π*125/360=25/36π
mQR=mPS=2π*55/360=11/36π
mPRQ= half circle= 2π/2= π
mRPQ= 2π-mQR= 2π- 11/36π= 61/36π
Plz help me. Geometry
Answer:
B
Step-by-step explanation:
Since opposite angles in a parallelogram are congruent, ∠B = ∠D which means:
5y + 31 = 96
5y = 65
y = 13°
Additionally, opposite sides of a parallelogram are congruent, therefore AB = CD which means:
x² - 18 = 7x
x² - 7x - 18 = 0
(x - 9)(x + 2) = 0
x = 9° or -2°
Answer:
Step-by-step explanation:
SINCE IT IS A PARALLELOGRAM,
AB=CD
and B = D
therefore x= 9, y=13
hope it helps
From the graph y = 10/x^2 shown below, what happens to the y- values as the negative x- values get closer to zero?
a.
They increase
c.
They stay the same
b.
They decrease
d.
cannot be determined from the graph
Answer: a
Step-by-step explanation:
if you look on the x axis and go from the far left to 0 you can see the y values go up and increase.
The y- values as the negative x- values get closer to zero is they decrease the correct option is B.
How to find the function which used to make graph?There are many tools we can use to find the information of the relation which was used to form the graph.
A graph contains data of which input maps to which output.
Analysis of this leads to the relations which were used to make it.
For example, if the graph of a function is rising upwards after a certain value of x, then the function must be having increasingly output for inputs greater than that value of x.
If we know that the function crosses x axis at some point, then for some polynomial functions, we have those as roots of the polynomial.
We are given that;
The function= y = 10/x^2
Now,
As x gets closer to 0 from the negative side, x becomes a larger negative number in magnitude. When we substitute a large negative value for x in y = 10/x^2, the square of this negative number becomes a large positive number, and the fraction 10/x^2 becomes a small positive number.
For example, if we substitute x = -2 into y = 10/x^2, we get:
y = 10/(-2)^2 = 10/4 = 2.5
If we substitute x = -10 into y = 10/x^2, we get:
y = 10/(-10)^2 = 10/100 = 0.1
Therefore, by the graphed function the answer will be they decrease.
Learn more about finding the graphed function here:
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In your own words, explain HOW to find the standard deviation of this data set. (20 points). What does the standard deviation tell you about this data? (20 points). Dr. Cwetna recorded all of the grades on a unit test on the chart below. plz somebody help I need this by today.
Which must be true?
Answer:
PSC=PTC
They are the same angle
A parent needs up to twelve students for a game. He needs no fewer than five male students.
Let x represent the number of female students and y represent the number of male students.
Select all inequalities that model this situation.
Answer:
you need more than or equeall to 5 male students. For girls u need less than or equeall to 7 female students.
SOMEONE PLEASE HELP!!!!!!!!!
Solve 2 x - 1 < 7 and 5x + 3 < 3.
A. {x l x < 0}
B. {x l x < 4}
C. {x l 0 < x < 4}
Answer:
Step-by-step explanation:
2x - 1 < 7
Add 1 to both sides
2x - 1 + 1 < 7+1
2x < 8
Divide both sides by 2
2x/2 < 8/2
x < 4
5x + 3 < 3
Subtract 3 form both sides
5x + 3 - 3 < 3-3
5x < 0
x < 0
x <4 & x < 0
So, solution ,
{x / x< 0 }
Answer:
A. {x l x < 0}
Step-by-step explanation:
2 x - 1 < 7 and 5x + 3 < 3.
Solve one inequality at a time
2 x - 1 < 7
Add 1 to each side
2 x - 1+1 < 7 +1
2x <8
Divide by 2
2x/2 <8/4
x <4
Now solve the other
5x + 3 < 3
Subtract 3
5x +3-3 < 3-3
5x<0
x <0
Recombine
x<4 and x<0
We go with the more restrictive and merge the overlapping interval since we have an and
x<0
For what value of the variable: is the value of 2x+1 twenty greater than 8x+5?
Answer:
x = 4
Step-by-step explanation:
We would like to find the value of x such that:
2x + 1 = (8x + 5) + 20
Here, notice that the "+ 20" part mathematically represents the "twenty greater" phrase in the problem.
Now, we simply solve for x:
2x + 1 = 8x + 5 + 20
2x + 1 = 8x + 25
6x = 24
x = 4
The answer is thus 4.
~ an aesthetics lover
Answer:
x = -4.
Step-by-step explanation:
The question asks when is 2x + 1 20 more than 8x + 5, which is the same thing as when is 2x + 1 equal to 20 plus 8x plus 5.
2x + 1 = 8x + 5 + 20
2x - 8x = 25 - 1
-6x = 24
x = -4
Hope this helps!
suppose that y varies inversely with x. use the information to find k, and then choose the equation of variation. x = 28 when y = 2 A. k=56, y 56/2 B. k = 14 y = x/14 C. k = 56, y = 56x D. k = 14. y = 14/x
Answer: A
Step-by-step explanation:
Given that y varies inversely with x, that is,
y ∝ 1/xyou will introduce constant k when the proportionality constant sign is changed to equality sign.y = k(1/x)when x = 28, y = 2substitute x and y into the formula to get k2 = k(1/28)open the bracket and cross multiplyk = 56substituting k back into equation givesy = 56/xoption A should be the answer. but it wasn't written clearlyAre triangles DEF and LNM similar if LN equals 4, MN equals 3, DE equals 12, and FE equals 9? Yes, by the SAS Similarity Postulate Yes, by the SSS Similarity Postulate No, the corresponding sides are not proportional No, there is not enough info
Answer:
yes, sas
Step-by-step explanation:
12:4 and 9:3 are the same ratio so the sides are proportional. Since they have a congruent angle too, the answer is yes by the SAS Similarity Postulate.
If Max is opening a bank account and he deposits $1500 and it has compound interest at a 9%, how much money will he have 8 years if the interest compounds semi-annually?
Answer:
$3,033.56
Step-by-step explanation:
(see attached for reference)
The formula for compound interest is given by
A = P [ 1 + (r/n) ]^(nt)
Where,
A = final amount (we are asked to find this)
P = principal = given as $1500
r = annual interest rate = 9% = 0.09
n = 2 (for compounding semi-annually)
t = time, given as 8 years
Substituting the above into the equation:
A = P [ 1 + (r/n) ]^(nt)
A = 1500 [ 1 + (0.09/2) ]^[(2)(8)]
A = 1500 [ 1.045) ]^[16]
A = $3,033.56
Which equation, when solved, results in a different value of x than the other three? WILL GIVE BRAINLYYYYYYYYYY ASAPSAPPP PLEASE
Answer:
the last one
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
Alexis wants to make a paperweight at pottery class. He designs a pyramid-like model with a base area of 100 square centimeters and a height of 6 centimeters. He wants the paperweight to weigh at least 300 grams. What is the lowest possible density of the material Alexis uses to make the paperweight?
Answer:
1 g/cm³
Step-by-step explanation:
Volume of the model:
V=1/3bh= 1/3*100*6= 300 cm³
Density= weight/volume= 300 g/300 cm³= 1 g/cm³
The lowest density is 1 g/cm³
Answer:
1.5 !
Step-by-step explanation:
oh khan academy :))
Help, I don't understand
Answer:
5 hours 24 minutes
Step-by-step explanation:
the speed is :279/4.5 = 62 miles per hour (mph)
if he continues on the same speed : 325/62=5 16/62 or 5 hours 24 minutes
hope it works
Which type of insurance coverage do employers typically provide to their employees?
A.automobile insurance
B. disability insurance
C. homeowners insurance
D. "pet insurance
Disability insurance is generally provided by the employers to the employee
What is an Insurance Coverage ?Insurance coverage refers to the amount of risk or liability that is covered for an individual or entity by way of insurance services.
Generally the employers provide Disability insurance to their employees .
An employee working in a steel manufacturing plant near a blast furnace has chances to get disable by some accident and thus the company provides Disability insurance .
A railway employee is given a Disability insurance cover and many other normal companies also provide Disability insurance.
Hence Option B Disability insurance is the correct answer.
To know more about Insurance Coverage
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Which graph represents the solution to this system of inequalities? y 2x – 4 A. B. C. D.
Answer:
I mean you dont got no graph
Step-by-step explanation:
butttttt.....
The graph wit a straight line that intersects the y-axis at -4 and goes up by 2 and to tha right by 1.
Answer:
Theres no graph
Step-by-step explanation:
Divide. Simplify(or reduce) 32 dived by seven eights
Answer:
32 divided by 7/8 is 36 and 4/7
Step-by-step explanation:
Think of 32 of a fraction, 32/1. What do you do when you divide fractions by fractions? You invert the fraction that you divide. So basically 32/1 times 8/7 which is 36 and 4/7.
Dividing Polynomials Divide x^5+15x^4+54x^3−25x^2−75x−34 by x+8 You must show all of your work to receive credit.
Answer:
Step-by-step explanation:
You can ask me ıf you don't understand :)
Write the following Arithmetic Sequence using a Recursive Formula: an = -8 + 2(n - 1)
a. a1 = 2, an = an+1 - 8
b. a1 = -8, an = an+1 + 2
c. a1 = 2, an = an-1 - 8
d. a1 = -8, an = an-1 + 2
Answer:
d) a1 = -8, an = an-1 + 2
Step-by-step explanation:
The formule is:
an = a1 + r*(n - 1)
So:
an = -8 + 2(n - 1)
a1 + r*(n - 1) = -8 + 2(n - 1)
⇒ a1 = - 8 ∧ r = 2
Finally:
r = an - an-1
an = 2 + an-1
The arithmetic sequence using a Recursive Formula is defined as
aₙ = a₍ₙ₋₁₎+2
What is the Recursive Formula?A recurrence relation is an equation that uses a rule to generate the next term in the sequence from the previous term or terms.
Given that, Arithmetic Sequence defined by a Recursive Formula:
aₙ = -8 + 2(n - 1)......(i)
The explicit formula of an AP is
aₙ = a₁ + (n-1)d
Comparing the equations, we get,
a₁ = -8 and d = 2
Now, the recursive formula of an AP is
aₙ = a₍ₙ₋₁₎ +d
Put d = 2,
aₙ = a₍ₙ₋₁₎ +2
Hence, The arithmetic sequence using a Recursive Formula is defined as aₙ = a₍ₙ₋₁₎+2
For more references on the Recursive Formula, click;
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A recent survey found that 80% of jeans have back pockets, 65% have front pockets, and 48% have both back and
front pockets. Suppose a pair of jeans is selected at random and it is determined that it has front pockets. What is the
probability that a randomly selected pair of jeans with front pockets also has back pockets?
0.52
0.60
0.74
0.81
Answer:
.52
Step-by-step explanation:
its only a little bit over a 50% chance to get a front pocketed jean, then to also have back pockets is under 50% chance so when you even those it comes to .52
Answer:
.74
Step-by-step explanation:
On edge
I tried to do this but it makes it wrong :,(
Answer:
177.8cm
tell me if it's right :)
Step-by-step explanation: