Identify the greatest common factor of 25w⁵+5w⁴+15w³
Answer:
5w³
Step-by-step explanation:
To solve this, we can list the factors of each number and see which are common
25w⁵: separate this into 25 and w⁵ as one is a variable and one is not, so this will enable easier factorization. It is perfectly fine to separate these as these are multiplied by each other. For example, 5 is a factor of 25 but not of w⁵, but we can still factor 5 from 25w⁵ to get 5 (5w⁵)
factors of 25:
1, 5, 25
factors of w⁵:
1, w, w², w³, w⁴, w⁵
We know the factors of w⁵ because anything multiplied by 1 is equal to itself, w * w⁴ = w⁵, and w²*w³ = w⁵ due to exponent rules
Next,
factors of 5:
1, 5
factors of w⁴:
1, w, w², w³, w⁴
Finally,
factors of 15:
1, 3, 5, 15
factors of w³:
1, w, w², w³
For the constants, the greatest common factor is 5, and for the variables, the greatest common factor is w³
Because each value has both a constant and variable, we can use these two numbers to factor this out as
5w³(5w²+w + 3)
1 point Final grades are often computed using weighted averages. Some college professors use complicated weighted averages . Your college professor tells you he will give a 33%-67% split on grades between tests and homework where whichever average is higher will be the 67%. What will your final grade be if your homework average is 59 and your test average is 64?
Weighted average is the average of a set using different weight for each element in the set. The final grade when homework and test scores are 59 and 64 is 62.35
Given that:
[tex]Homework = 59[/tex]
[tex]Test = 64[/tex]
The test score is greater than the homework score. So, the test will be weighted using 67%, while the homework will be weighted using 33%.
The final grade is calculated as follows:
[tex]Grade = 67\% \times Test + 33\% \times Homework[/tex]
So, we have:
[tex]Grade = 67\% \times 64 + 33\% \times 59[/tex]
[tex]Grade = 42.88 + 19.47[/tex]
[tex]Grade = 62.35[/tex]
Hence, the final grade is 62.35
Read more about weighted average at:
https://brainly.com/question/18554478
What is the slope of any line that is perpendicular to y=1- x?
Answer:
y = x + 1
Step-by-step explanation:
y = -x + 1
y = x + 1
Point C is on line segment BD
. Given BD=5x,BC=4x, and CD=4, determine the numerical length of BD.
Answer:
BD measures 20 units.
Step-by-step explanation:
We are given that Point C is on the line segment BD, where:
[tex]BD = 5x, BC = 4x \text{ and } CD = 4[/tex]
And we want to determine the numerical length of BD.
Since C is somewhere on BD, BD is the sum of BC and CD:
[tex]\displaystyle BD = BC + CD[/tex]
Substitute:
[tex](5x) = (4x) + (4)[/tex]
Solve for x. Subtract:
[tex]x = 4[/tex]
Hence, the value of x is 4.
BD is given by 5x. Therefore:
[tex]BD = 5(4) = 20\text{ units}[/tex]
In conclusion, BD measures 20 units.
You have a cup with 19 coins inside. The total inside the cup is $1.30. Determine how many nickels and dimes are inside the cup. Use a system of equations. Be sure to defined the variables and show all your work. PLS HELP!
Answer:
7 dimes and 12 nickels.
Step-by-step explanation:
12 nickels = $0.60 and 7 dimes = $0.70. $0.70 + $0.60 = $1.30.
Which answer choice correctly shows 564 written as a Roman numeral? A.DLXIN B.DLXIIII C.DXLIV D.MLXIV
Answer:
DLXIV. I don't see that as any of the answer choices, so maybe you put some of them in wrong.
Step-by-step explanation:
D is 500
LX is 60
IV is 4
I hope this helps!
pls ❤ and mark brainliest pls!
If the divisor is 60, what is the least four-digit dividend that would not have a remainder?
Answer:
2400
which is not having any remainder as 2400÷60=40
Step-by-step explanation:
Mr slone said that his car was worth $32,000 when it was purchased.however over the last 3 years $6300. What integer represents the average decrease in value per year?
Hi! I'm happy to help!
To solve this, we need to first find how much the car value decreased.
The car started at $32,000, but dropped down to $6,300. To find the value drop, we use subtraction.
$32,000-$6300
$25,700
Now we know that his car value dropped $25,700 in value over the course of 3 years. Now we need to figure out how much value it dropped per year. To do this, we split the money into 3 years.
$25,700÷3
$8,566.6666666...
We can round this to $8,567
On average, his car lost $8,567 in value, per year. Now, we need to find how much value his car had after one year in order to get our integer. (a fraction of 2 whole numbers)
$32,000-$8,567
$23,433
Now that we know what his can was worth after one year, we can say that his can was worth $23,433 out of the $32,000 originally was worth. Out of can mean division, or fraction, and because these are both whole numbers, and integer. This is our integer:
[tex]\frac{23433}{32000}[/tex]
Since we cannot simplify it, this is our integer that represents the average decrease in value per year.
I hope this was helpful, keep learning! :D
Identify the independent and dependent variables a store is having a sale over Labor Day weekend. The more purchases, the greater the profits
9514 1404 393
Answer:
independent: purchasesdependent: profitsStep-by-step explanation:
The relationship description tells you that profits depend on purchases. Therefore, profits are the dependent variable; purchases are the independent variable.
3. I Need Help Please
Match the graph of the function with the function rule.
A. y = 3 • 2^x
B. y = 4 • 3^x
C. y = 2 • 3^x
D. y = 1 • 3^x
Answer:
D. y = 1 • 3^x
Step-by-step explanation:
Exponential functions have a horizontal asymptote. The equation of the horizontal asymptote is
y
=
0
.
Horizontal Asymptote:
y
=
0
In the expression, 9x3 + 4x2 + 7x + 6, what is the constant?
6
ооо
O4
Answer:
6
Step-by-step explanation:
The constant is the number that is on its own, the number that has no variable.
The only number that has no variable is 6 therefore the constant is 6.
Note: the variable is usually expressed as a letter, ex. in 9x the variable is "x"
Answer:
The constant term is [tex]6[/tex].
Step-by-step explanation:
Given that,
An expression,[tex]9x^3 + 4x^2 + 7x + 6[/tex].
To find,
The constant term.
Solution,
We have,
An expression, [tex]9x^3 + 4x^2 + 7x + 6[/tex]
The term that doesn't have any variable is the constant term of an expression.
The coefficient of [tex]x^3[/tex] is 9.
The coefficient of [tex]x^2[/tex] is 4.
The coefficient of [tex]x[/tex] is 7.
The constant term is 6 as it doesn't contain any variable.
Hence, the constant term is [tex]6[/tex].
Reference,
https://brainly.com/question/18775522
true or false? in a two-column proof, the left column states your reasiong
Which of the following is not true about the number given below?
-6.7
a. The number is negative
b. The opposite of the number is negative.
c. The absolute value of the number is positive.
d. The number is 6.7 units away from zero.
PLEASE HELP ME!
Answer:
b. The opposite of the number is negative
Step-by-step explanation:
the opposite of -6.7 would be 6.7 not a negative
Perry currently has $180 dollars and is spending $6 per day. Nick has no money
but is earning $8teach day. After how many days will they have the same
amount of money?
Answer:
After 13 days (Rounded) If you dont round it's [tex]\frac{90}{7}[/tex] or 12[tex]\frac{6}{7}[/tex]
Step-by-step explanation:
Perry: 180 - 6x = 8x
180 - 6x + 6x = 8x + 6x
180 = 14x
180/14 = 14x/14
90/7 = x
What is the cost of 1.5 kg of apples at $2.98 per kilogram?
[tex]\\ \rm\Rrightarrow 2.98\times 1.5[/tex]
[tex]\\ \rm\Rrightarrow 2.98\times \dfrac{3}{2}[/tex]
[tex]\\ \rm\Rrightarrow \dfrac{8.94}{2}[/tex]
[tex]\\ \rm\Rrightarrow 4.47[/tex]
[tex]9/16=3/4t[/tex]9/16=3/4t
Answer:
4/3
Step-by-step explanation:
9÷16=3÷4t
cross multiply
36t=48
divide both sides by 36
t=48÷36
t=4÷3
Solve 15x squared + 40x
Answer:
265x{2} + 40x
Step-by-step explanation:
Squared mean to multiply the number times itself. So 15x times 15x.
[tex]15x^{2} = 225x[/tex]{2}
Then the problem says to add, but because one is squared and th other is not, they cannot be combined. So the answer is:
[tex]225x{2} + 40x
Answer:
see below
Step-by-step explanation:
15x^2 + 40x
These are not like terms so they cannot be combined.
If you mean
(15x) ^2 + 40x
(15x * 15x) + 40x
225x^2 + 40x
They are still not like terms so they cannot be combined.
y² - 11y + 21.25 = 0
Answer:
y=17/2 y=5/2
Step-by-step explanation:
...................
Answer:
[tex]y^{2}[/tex]-11y= -21.25
Factorize the expression [tex]y^{2}[/tex]-11y
y(y-11)= -21.25
Eliminate (y-11)by dividing it over (y-11)
[tex]\frac{y (y-11)}{(y-11)}[/tex] = [tex]\frac{-21.25}{(y-11)}[/tex]
Final answer;
y=[tex]\frac{-21.25}{(y-11)}[/tex]
If y varies inversely as x and y= 2/5 when x= 2, find y when x= 1 equation
Answer:
4/5
Step-by-step explanation:
y=k/x
2/5=k/2
cross multiply
5k=4
k=4/5
substitute 4/5 for k
y=4/5/x
y=4/5/1
y=4/5
Picture shown!
If f(x) = x^2, and
g(x) = x - 1, then
g(f(x)) = x^[?]+[?]
Answer:
g(f(x)) = x^2 + 1
? = 2
grey box = 1
Step-by-step explanation:
Answer:
g(f(x)) = [tex]x^{2}[/tex] + 1
If CP=Rs. 1200 and loss =10%, find loss amount.
Answer:
lost 120
Step-by-step explanation:
10% of 1200 is 120 so you subtract 120 from 1200
Answer:
120
Step-by-step explanation:
Loss = (Loss%)(C.P)
Loss = (10%)(1200)
Loss = (10/100)(1200)
Loss = 120
In 5 years Chim will be three times as old as Jared. The sum of their ages is 42. How old are Chim and Jared.
Answer:
Chim is 34 years old, and Jared is 8 years old.
Step-by-step explanation:
Let c be Chim's age and j be Jared's age.
Chim's age after five years (c + 5)
is 3 times Jared's age after five years (3 * (j+5) )
#1: c + 5 = 3(j+5)
We can add Chim's age and Jared's age to get 42 (the "sum"):
#2: c + j = 42
This is a system of equations that we can solve through substitution:
c + 5 = 3(j+5)
c + j = 42
In Equation #2, we can subtract j from both sides:
c = 42 - j
Then replace c with 42 - j in the first equation
(42 - j) + 5 = 3(j+5)
47 - j = 3j + 15
32 = 4j
j = 32/4 = 8
Plug j = 8 into the second equation, then solve for c.
c + 8 = 42
c = 42 - 8 = 34
c = 34, j = 8
Check our work by plugging in c = 34 and j = 8 into the first equation:
34 + 5 = 3(8+5)
39 = 3*13
39 = 39
Plug c and j into the second equation:
34 + 8 = 42
42 = 42
Chim is 34 years old, Jared is 8 years old.
Click the links to open each of the documents below. These documents contain instructions for completing the assignment. Once you have created your file(s) and are ready to upload your assignment, click the Add Files button below and select each file from your desktop or network folder. Upload each file separately.
Your work will not be submitted to your teacher until you click Submit.
Answer:
what link because I am unable to find one here please ensure to include the link
Answer:
How can Mass and Speed Influence KE?
The goal of this experiment was to determine how mass and speed influence KE. This is significant because you would know whether to add more or less mass/speed if you were in a position where you required something to move higher. We filled the bean bag with a set amount of water, then dropped it to see how much mass it had. After that, you kept track of how high the bean bag went. The same thing happened with the speed, but the amount of liquid in the bottle was the same; it was just dropped from different heights. My theory is that the KE will increase as mass increases. This is also true of speed; if the bean bag is dropped from a higher altitude, it will launch farther than before.
The data I gathered in the lab confirmed my hypothesis. When the bottle's height was increased, the bean bag rose higher than before. I also tested four different masses: 0.125 kilograms, 0.250 kilograms, 0.375 kilograms, and 0.500 kilograms. The bean bag rose higher each time it was placed on a greater bulk.
On the speed test, the bean bag would frequently go higher than the bottle drop point, but not always. Furthermore, when it was dropped from the same height each time, the results differed significantly, for example, when it was dropped from 1.28, the results were 1.14, 1.30, and 1.30. Mass, on the other hand, was all in the same number range, with the exception that the numbers were somewhat different.
I used the calculations KE= 12 mv2 and Ht v2/2g. The initial step was to compute an object's kinetic energy, using the formula m=mass v=speed. The second was to determine the height at which I needed to drop something in order to reach a specific speed, where Ht=Height and g=Gravitational Acceleration of 9.8 m/s2.
I utilized these to create tables that depicted relationships between various variables, such as mass and KE or speed and height. My data kept increasing the entire time I was conducting the lab; when there was more mass/speed, the table had greater numbers.
This proves that my first theory was correct: as m/s increases, KE increases accordingly because they are all linear. When the bean bag height exceeded the water bottle drop mark, I was taken aback.
To summarize, my theory was supported by my data. When more mass or speed was introduced, the data values increased. This means that if I wanted more kinetic energy for something, I'd know to increase the mass or the speed of the object that was supplying the energy.
This hypothesis is valid because when you have greater mass, you also have more energy. So, if you drop a baseball, it isn't very heavy, so it will only propel the bean bag a short distance. However, because a bowling ball is quite heavy and has a lot of energy when it falls, it would force the bean bag to fly very high.
To improve this experiment, I would create the lever from a smoother material so that energy is not lost due to friction from the wood rubbing together. Perhaps a scanner or video camera to better document how far the bean bag traveled. All of these would aid the lab in obtaining more precise results, and they might perhaps be used in the future.
Step-by-step explanation:
Don't copy this word for word or you'll get in trouble.
What is greatest common factor of 54ab and 54ab to the power of 2
Answer:
54ab
Step-by-step explanation:
the only two factors of 54ab^2 and 54ab is 1 and 54ab and the greatest of that would be 54ab.
Please help me with this quickly
Answer:
A. mB = 40°
Step-by-step explanation:
In geometry, congruent figures are identical in form, coinciding exactly when superimposed.
From the diagram,
<CAB = 80°; <EFG = 40° and <FGE = 60°
From triangle ️ EFG,
<GEF + <EFG + <FGE = 180°
》<GEF = 180° - (<EFG + <FGE)
<GEF = 180° - (40° + 60°)
<GEF = 180° - 100°
<GEF = 80°
》<GEF = <CAB = 80°
Also,
》<ACB = <EGF = 60°
<ABC = <EFG = 40°
NB. <ABC = mB
Please help.Please show the formula,thanks.
Answer:
DE=6.3
Step-by-step explanation:
triangles are similar so, its sides and angles are comgruent.
side BC=side DE
side BC=6.3
side DE=6.3
Note:if you need to ask any question please let me know.Solve:
p -23 = 23
A. p = 24
B. p = 46
C. p = 52
D. p = 44
Answer:
The answer is B. p= 46
Step-by-step explanation:
23+23=46-23=23
Answer:
your answer is B
Step-by-step explanation:
1;1;2;3;5;8;14;21;34 identify and explain the error in the following pattern
Answer:
5+8=14
Step-by-step explanation:
5+8 is 13 not 14
Please help its line segment
Answer:
-9 3/4
Step-by-step explanation:
FG = GH
9x+15 = 5x+4
Subtract 5x from each side
9x+15-5x = 5x+4-5x
4x+15 = 4
Subtract 15 from each side
4x+15-15 = 4-15
4x = -11
Divide by 4
4x/4 = -11/4
x = -11/4
FG = 9x+15
FG = 9*(-11/4) +15
= -99/4+15
-99/4 + 60/4
= -39/4
= -9 3/4
If I start at 6:05 and end at 8:30. How much time is that.
Isn’t is 2 hours and 25 minutes or 2 hours and 35 minutes?
Answer:
Isn’t is 2 hours and 25 minutes
Step-by-step explanation:
[tex]8:30 - 6:05 = 2:25[/tex]
I hope I helped you^_^