Factor the polynomial
40w^11 + 16w^6
This polynomial cannot be factored any further using integer coefficients, so our final factored form is: 40w²11 + 16w²6 = 8w²6(5w²5 + 2)
How to solve?
To factor the polynomial 40w²11 + 16w²6, we need to look for common factors in the two terms. We notice that both terms have a factor of 8w²6, so we can factor that out:
40w²11 + 16w²6 = 8w²6(5w²5 + 2)
Now, we have factored out the greatest common factor of the two terms, leaving us with the remaining factor of 5w²5 + 2. This polynomial cannot be factored any further using integer coefficients, so our final factored form is:
40w²11 + 16w²6 = 8w²6(5w²5 + 2)
This form of the polynomial is useful for simplifying expressions, finding roots, and solving equations.
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image 1
image 2
image 3
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Answer:
Image 1
Step-by-step explanation:
It has a varitiy of differnt circles, while the others only have one kind of circle.
What is the allusion:
"I don't know if this store carries shoes in your size, Sasquatch," my dad joked when we went shopping for another new pair of shoes, my second pair in two
months.
Shoes
Dad
Sasquatch
Two Months
The allusion in this statement is "Sasquatch," referencing a legendary creature known for its large size and used humorously to imply the person's abnormally large shoe size.
The allusion in the given statement is "Sasquatch." Sasquatch, also known as Bigfoot, is a legendary creature often depicted as a large, hairy, and elusive humanoid. In this context, the reference to Sasquatch is used metaphorically to humorously imply that the person's shoe size is abnormally large.
The mention of Sasquatch adds a playful and exaggerated tone to the conversation about shopping for shoes. It serves as a lighthearted way for the dad to comment on the frequency of buying new shoes, suggesting that the person's feet grow rapidly or that they have a high shoe consumption rate.
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simplify the fraction completly
64/100
Answer:
16/25
Step-by-step explanation:
;)
Answer:
32/50
Step-by-step explanation:
64 divided by 2 is 32
and 100 divided by 2 is 50 cause 50 x 2 is 100 and there you go if thats able to be simplified then simply more if so
Gym City charges a $30 sign-up fee, plus a monthly fee of $25. FitnessExpress charges a $20 sign-up fee, plus a monthly fee of $30. How muchmoney would Leslie save in a 6-month period by joining Gym City insteadof Fitness Express? PLSSSS
Answer:
$20
Step-by-step explanation:
Gym city fees are:
Sign up = 30
6 monthly sub = 6 x 25 = 150
Total fees = 30 + 150
FitnessExpress fees are:
Sign up = 20
6 monthly sub = 6 x 30 = 180
Total fees = 20 + 180 = 200
Therefore, the difference between the two is $20
Solve for p.
-p - 1 = 5 - 9p + 10p
Answer:
p= 1/3 or 0.33 repeating
Step-by-step explanation:
5-19p=-p-1
5=18p-1
6=18p
divide by 18
6/18 = 1/3 or 0.33 repeating
Answer:
-3
Step-by-step explanation:
First, isolate the like terms, and try to keep the variable positive:
Add p to both sides:
-1=5-9p+11p
Subtract 5 from both sides:
-6=-9p+11p
Combine like-terms:
-6=2p
Divide:
-3=p
I hope this helps! :D
Pls give thx and brainliest if I’m right!
SOMEONE PLEASE ANSWER. I'M CRYING AND DONT KNOW WHAT TO DO! I NEED YOUR HELP PLEASE!
A cafeteria serves lemonade that is made from a powdered drink mix. There is a proportional relationship between the number of scoops of powdered drink mix and the amount of water needed to make it. For every 2 scoops of mix, one half gallon of water is needed, and for every 5 scoops of mix, one and one fourth gallons of water are needed. Part A: Find the constant of proportionality. Show every step of your work. Part B: Write an equation that represents the relationship. Show every step of your work. Part C: Describe how you would graph the relationship. Use complete sentences. Part D: How many gallons of water are needed for 12 scoops of drink mix?
Below, you'll find a list of all the answers to the questions which are solved by using proportional relationship.
What is the fundamental formula for a straight line?The general equation for a straight line is y=mx + c, where m represents the line's slope and expresses the rate of change of y per unit time with respect to x.
The point where the graph crosses the y-axis is called the y-intercept, or c.
Direct proportionality is also represented by y = mx. We can express m as follows: m = y/x
OR
y₁/x₁ = y₂/x₂
In our cafeteria, lemonade is made using a powdered drink mix. The quantity of water required to manufacture a certain amount of powdered drink mix is proportional to the number of scoops required. For every 2 scoops of mix, 1/2 gallon of water is required, and for every 5 scoops,
1 1/4 gallons of water are required.
The proportional formula is written as y = k x.
Using the information provided, we can now write: 2 scoops require 0.5 gallon of water.
1.25 gallon of water is required for 6 scoops.
This means that k = 2/0.5
k = 2/(1/2)
k = 2 x 2
k= 4
Equations describing the relationship can be expressed as y = 4x + c.
0.5 gallon of water is now required for 2 scoops.
2=4(1/2)+c
2=2+c
c=0
Therefore, the formula will be y = 4x.
The end includes a graph for y = 4x.
12 scoops of water:
12=4x
x=3 gallons of water is needed.
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plz help i will give brainliest and i will report you if you post a link
Answer:
$11,640
Step-by-step explanation:
Use the image to determine the type of transformation shown.
Graph of polygon VWXYZ with W at point 2 comma 4. A second polygon V prime W prime X prime Y prime Z prime with W prime at point negative 2 comma 4.
Reflection across the x-axis
Reflection across the y-axis
270° counterclockwise rotation
Horizontal translation
The image is reflected over the y-axis. Then the correct option is B.
Given that:
Point of the polygon VWXYZ, W(2, 4)
Point of the polygon V'W'X'Y'Z', W'(-2, 4)
The translation does not change the shape and size of the geometry. But changes the location.
The reflection does not change the shape and size of the geometry. But flipped the image.
The point W' can be obtained by reflecting the shape across the y-axis.
Thus, the correct option is B.
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The missing diagram is given below.
two angles are complementary of the sum of their measures is 90 degree. The measure of the first angle is x degree and the second angle is 38 degrees less than three times the first. find the measure of the two angles
9514 1404 393
Answer:
32°, 58°
Step-by-step explanation:
The second angle is (3x-38), and their sum is ...
x +(3x -38) = 90
4x = 128 . . . . . . . . . add 38 and simplify
x = 32 . . . . . first angle
3x -38 = 3·32 -38 = 58 . . . . . . second angle
The measures of the two angles are 32° and 58°.
5. Solve for q if 5q - 21 /14= 1.
5q - 21/14 = 1
First add 21/14 to both sides to get:
5q = 1 21/14
Simplify the right side:
21/14 = 3/2 = 1 1/2
Now you have 5q = 2 1/2
Divide both sides by 5:
q = 1/2
What is the range of fx) = 3^x
Answer: For the cubic function f(x)=x3 f ( x ) = x 3 , the domain is all real numbers because the horizontal extent of the graph is the whole real number line. The same applies to the vertical extent of the graph, so the domain and range include all real numbers.
Step-by-step explanation:
For the exponential function f(x) = 8(9)^x-1, find f(4).
f(x)= 8 (9)^ x -1
Replace x= 4
f(4)= 8 (9)^ 4-1
f(4)= 8 (9)^3
f(4)= 8 (729)
f(4)= 5,832
What is 11/12 = 3/4h?
h=
The value of h in the algebraic equation in fraction 11/12 = 3/4h is equal to 9/11
How to solve for the value of h in the algebraic equationWe shall first find the lowest common multiple LCM of the denominators to help us clear the fractions, before then simplifying further for the value of h as follows:
LCM of the denominators 12 and 4h is 12h
multiply both sides by the LCM
11/12 × 12h = 3/4h × 12h
11 × h = 3 × 3
11h = 9
divide both sides by the coefficient of h
11h/11 = 9/11
h = 9/11
Therefore, the value of h in the algebraic equation in fraction 11/12 = 3/4h is equal to 9/11.
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what is 5/9 × 6/7 I need help please for whoever needs points
Answer:
\( \frac{5}{9} \times \frac{6}{7} \\ = \frac{5 \times 6}{9 \times 7} \\ = \frac{30}{63} \\ thank \: you\)
Answer: Is 10/21
I hope it helps if it does mark me Brainliest Pls
6 2/3+ 3 3/4 solve pls help me solve it
Answer: 10.4166
Step-by-step explanation:
6 2/3= (18+2)/3= 20/3
3 3/4= (12+3)/4=15/4
6 2/3 + 3 3/4=(20/3)+(15/4)
=125/12
=10.4166
Answer:
\(10\frac{5}{12}\)
Step-by-step explanation:
\(\sf6\frac{2}{3} +3\frac{3}{4}\)
First, write the above fractions as improper fractions.
\(\sf\frac{20}{3} +\frac{15}{4}\)
To solve the fractions you have to make the denominators of the fractions the same.
For that, we have to multiply both the numerator and denominator of the fractions (20/3) by 4 and (15/4) by 3.
Let us solve it now.
\(\sf\frac{20}{3} +\frac{15}{4}\\\\\sf\frac{20*4}{3*4} +\frac{15*3}{4*3}\\\\\frac{80}{12}+\frac{45}{12}\\\\\frac{125}{12}\)
And now let us write the answer as a mixed number.
\(10\frac{5}{12}\)
Does 17 divide each of these numbers?
a)68 b) 84 c) 357 d) 1001
Hello !
68/17 = 4
=> yes for 68
84/17 = 4.941...
=> no for 84
357/17 = 21
=> yes for 357
1001/17 = 58.882...
=> no for 1001
Fill in the table for y= 4x + 2
Answer:
(-2, -6)
(1,6)
(2, 10)
Step-by-step explanation:
y = 4x + 2
y = 4(-2) + 2
y = -8 + 2
y = -6
y = 4x + 2
y = 4(1) + 2
y = 4 + 2
y = 6
y = 4x + 2
y = 4(2) + 2
y = 8 + 2
Y = 10
$40$ is $120\%$ of what number?
Please please please help me
I really need to pass this I will give brainliest and a lot of points please just help me solve this correctly
The length of side AB is about 5.87 units.
How to find the side of a right triangle?The triangle ABC is a right angle triangle. A right angle triangle is a triangle that has one of its angles as 90 degrees.
Therefore, let's find the length AB in the right triangle.
Using trigonometric ratios,
cos 33 = adjacent / hypotenuse
Therefore,
Adjacent side = AB
hypotenuse side = 7 units
cos 33° = AB / 7
cross multiply
AB = 7 cos 33
AB = 7 × 0.83867056794
AB = 5.87069397562
AB = 5.87 units
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The selling price of 3 cucumbers is $2.00
complete the table to show the relationship between the number of cucumbers and the selling price, Inter a number in each box
Number of Cucumbers
Selling Price
$2.00
$6.00
12
PLEASE HELP FAST ILL GIVE POINTS AND BRAINIEST
Answer:
The first blank is 9 for 9 cucumbers
The second blank is 8 dollars
Step-by-step explanation:
We can use ratios to solve
3 cucumbers x cucumbers
--------------------- = ----------------------
2 dollars 6 dollars
Using cross products
3*6 = 2x
18 = 2x
Divide by 2
18/2 = 2x/2
9 =x
We need 9 cucumbers
For the third row
3 cucumbers 12 cucumbers
--------------------- = ----------------------
2 dollars y dollars
Using cross products
3*y = 2*12
3y = 24
Divide by 3
3y/3 = 24/3
y = 8
We need 8 dollars
George and Chin work as landscapers. George charges $90 for a 6-hour job. Chin charges $84 for the same job.The table shows their price structures. An equation representing George’s charges is written in the chart.
Landscaping Cost
George
Chin
George charges one hourly rate for the first three hours and then reduces his rate for additional hours. Chin charges the same initial rate as George for the first two hours and the same reduced rate for additional hours.
3 x + 3 y = 90
What is the equation for Chin’s charges needed to solve the system and find the cost of the initial and additional hours?
4 x minus 2 y = 84
2 x minus 4 y = 90
2 x + 4 y = 84
4 x + 2 y = 90
The equation for Chin’s charges is 2x+4y=84. Therefore, option C is the correct answer.
What is a linear system of equations?A system of linear equations consists of two or more equations made up of two or more variables such that all equations in the system are considered simultaneously. The solution to a system of linear equations in two variables is any ordered pair that satisfies each equation independently.
Given that, George and Chin work as landscapers. George charges $90 for a 6-hour job. Chin charges $84 for the same job.
George charges one hourly rate for the first three hours and then reduces his rate for additional hours.
So, the equation is 3x+3y=90 --------(I)
George for the first two hours and the same reduced rate for additional hours.
Noe, the equation is 2x+4y=84 --------(II)
x+2y=42
x=42-2y
Substitute x=42-2y in equation (I), we get
3(42-2y)+3y=90
126-6y+3y=90
3y=36
y=12
Substitute y=12 in equation (II) and simplify, we get
2x+48=84
2x=84-48
2x=36
x=18
So, the solution of system of equation is (18, 12)
Therefore, option C is the correct answer.
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Lawrence is half as old as Jonathan. The sum of their ages is 54. How old is Jonathan?
Answer:
Jonathan is 36 years old.
Step-by-step explanation:
Jonathan=2 Lawrence
J= 2L
54 divided by 3 equals 18.
18 times 2 equals 36.
Hope this helped! :)
a Clark $200 per week. she also receive a commission a 20% of her weekly salary every time she cells an Appliance. how many appliances must the clark sell in order to gtow $800 per week?
A.15
B. 40
C. 10
D. 50
E. 20
Answer:
20......................................................................................
In which
situation can the Expression
on 8×2 be used to find the total number of head wraps on the shelf
The expression 8×2 can be used to find the total number of head wraps on the shelf when there are 8 head wraps per shelf and 2 shelves in total, resulting in a total of 16 head wraps.
What is expression?Expression in mathematics is a combination of symbols and numbers, often using an operation, such as addition, subtraction, multiplication, or division. It can represent a number, a variable, a function, or a mathematical statement. It can also represent a combination of these things. Expressions are used to describe relationships between numbers, variables, and mathematical concepts.
The expression 8×2 can be used to find the total number of head wraps on the shelf when there are 8 head wraps per shelf and there are 2 shelves in total. This expression can be used to calculate the total number of head wraps on the shelves by multiplying 8 (the number of head wraps per shelf) by 2 (the number of shelves). As such, the expression 8×2 can be used to find the total number of head wraps on the shelf when there are 8 head wraps per shelf and 2 shelves in total, resulting in a total of 16 head wraps.
In conclusion, the expression 8x2 can be used to calculate the total number of head wraps on the shelf when there are 8 head wraps per shelf and 2 shelves in total. By multiplying 8 (the number of head wraps per shelf) by 2 (the number of shelves), the total number of head wraps on the shelf can be found, resulting in a total of 16 head wraps.
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Complete questions as follows-
In which situation can the Expression
on 8×2 be used to find the total number of head wraps on the shelf?
The diagram shows EFG. Which term describes point H?
A. Circumcenter
B. Incenter
C. Orthocenter
D. Centroid
Point H is the ortho-center of our given triangle and option c is the correct choice.
We have been given an image of a triangle. We are asked to find the term that describes point H.
We can see that point H is the point, where, all the altitudes of our given triangle EFF are intersecting.
We know that ortho-center of a triangle is the point, where all altitudes of triangle intersect. Therefore, point H is the ortho-center of our given triangle and option c is the correct choice.
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Calculate the bearing of Y from X
Answer:
074°
Step-by-step explanation:
the bearing of Y from X is the measure of the angle from the north line (N) at X in a clockwise direction to Y , that is ∠ NXY
∠ NXY = 180° - 106° = 74°
the 3- figure bearing of Y from X is 074°
GIVING BRAINLIEST TO BEST ANSWER
The triangle ΔKUB is located at K(−4, 3), U(−1, 6) and B(2, 0).
It is rotated 90° counterclockwise about the origin.
What are the coordinates of ΔK' U' B' ?
Answer:
the triangle would be located at 3783<%*
Are the experimental probabilities after 300 trials closer to the theoretical probabilities?
After 300 trials, the experimental probabilities may not align perfectly with the theoretical probabilities. However, with more trials, the experimental probabilities tend to converge towards the theoretical probabilities for closer alignment.
To examine whether experimental probabilities after 300 trials align closely with theoretical probabilities, let's consider an example of flipping a fair coin.
Theoretical probability: When flipping a fair coin, the theoretical probability of obtaining heads or tails is 0.5 each. This assumes that the coin is unbiased and has an equal chance of landing on either side.
Experimental probability: After conducting 300 trials of flipping the coin, we record the outcomes and calculate the experimental probabilities. Let's assume that heads occurred 160 times and tails occurred 140 times.
Experimental probability of heads: 160/300 = 0.5333
Experimental probability of tails: 140/300 = 0.4667
Comparing the experimental probabilities to the theoretical probabilities, we can observe that the experimental probability of heads is slightly higher than the theoretical probability, while the experimental probability of tails is slightly lower.
In this particular example, the experimental probabilities after 300 trials do not align perfectly with the theoretical probabilities. However, it is important to note that these differences can be attributed to sampling variability, as the experimental outcomes are subject to random fluctuations.
To draw a more definitive conclusion about the alignment between experimental and theoretical probabilities, a larger number of trials would need to be conducted. As the number of trials increases, the experimental probabilities tend to converge towards the theoretical probabilities, providing a closer alignment between the two.
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The question probable may be:
Do experimental probabilities after 300 trials tend to align closely with theoretical probabilities? Consider an example scenario and calculate both the theoretical and experimental probabilities to determine if they are close.
The diagram below shows Zainab observing a kite. Given that the angle of inclination of the kite from Zainab's sight is 35⁰ and the distance between Zainab's eyes and the kite is 120 meters. Calculate the horizontal distance, d in meters. State the correct answer to three significant figures.
The distance that is covered is 98.3 m.
What is the distance in meters?We know that in this case now, we would need to obtain the distance that has been traveled as it has been shown. We can see from the diagram, that the angle of inclination of the kite from Zainab's sight is 35⁰ and the distance between Zainab's eyes and the kite is 120 meters.
Using the trigonometric ratios for the right angled triangles we have;
Cos θ = adjacent /hypotenuse
adjacent = d
hypotenuse = 120 m
cos 35 = d/120
d = 120 cos 35
d = 98.3 m
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