Answers
Answer:
Please check the explanation!
Step-by-step explanation:
Important factors to remember regarding the like terms:
'Like terms' are terms whose variables such as 2x and 6x are the same. Also if the variables contain the exponents such as 4 in x⁴, they must be the same too.Since the coefficient doesn't affect likeness, therefore we can say that all constant terms would be treated as the like terms.Question 7
Given the terms
2b b⁶ b x⁴ 3b⁶ 2x²
From the list of terms, there are two groups of like terms which are:
2b b (Like terms containing the variable b)
b⁶ 3b⁶ (Like terms containing the variable b with the same exponents)
The remaining two x⁴ and 2x² terms are different from each other and the rest of the termsQuestion 8
Given the terms
6 2n 3n² 3m² n/4 7
From the list of terms, there is one group of like terms which are:
6 7 (Constants Like terms)
2n n/4 (The terms with the same variable n)
All the remaining terms such as 3n², 3m² are all different from each other and the rest of the terms.Question 9
Given the terms
10k² m 3³ p/6 2m
From the list of terms, there are there is one group of like terms which are:
m 2m (The terms withe same variable m)
All the remaining terms such as 10k², 3³, p/6 are all different from each other and the rest of the terms.Question 10
Given the terms
6³ y³ 3y² 6² y 5y³
From the list of terms, there are two groups of like terms which are:
y³ 5y³ (The terms withe same variable m and exponent)
6³ 6² (Constant like terms. Plz don't confuse the power as all are the same constant terms)
All the remaining terms such as y and 3y² are all different from each other and the rest of the terms.Related Questions
a vector graphic consists of a set of instructions for creating a picture.
Answers
Answer:
A vector graphic consists of a set of instructions for creating a picture is a true statement.
Step-by-step explanation:
A vector graphic is an image format that represents images as a set of mathematical instructions or geometric primitives such as lines, curves, and shapes. Instead of using a grid of pixels like raster graphics, vector graphics define images based on mathematical formulas and coordinates.
These instructions or mathematical representations describe the shapes, colors, and other visual attributes of the image. They allow the image to be scaled, resized, and manipulated without loss of quality since the instructions can be recalculated and redrawn at any resolution or size.
Vector graphics are often created and edited using specialized software such as Adobe Illustrator, CorelDRAW, or Inkscape. They are commonly used for logos, illustrations, diagrams, typography, and other graphical elements where scalability and flexibility are important.
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Ishi bought a canvas and 8 tubes of paints for $24.95. If the canvas cost $6.95, how much did each tube of paint cost. please made a two step Equations. please can you solve two step equations.
Answers
Answer:
24.95-6.95= 18
18 divided by 8 = 2.25
So each tube of paint cost 2.25 dollars
Step-by-step explanation:
for the first equation we are subtracting the cost of the canvas from the total cost to find the cost of 8 tubes of paint and we get that 8 tubes of paint cost 18 dollars. Next we divide 18 by 8 to get the cost of a single tube of paint and we get 2.25.
A group of friends wants to go to the amusement park. They have no more
than $110 to spend on parking and admission. Parking is $16.50, and tickets
cost $11 per person, including tax. Write and solve an inequality which can be
used to determine X, the number of people who can go to the amusement
park.
Answers
Answer:
110-16.50=93.50
93.50÷11= 8.5
answer is 8 people
Answer:
Inequality: 11x+16.5\le11011x+16.5≤110
Answer: x \le 8.5x≤8.5
Step-by-step explanation:
... tbh idek anymore
Answers
____ was the pantheon in paris proportioned using math
Answers
The answer to that blank is golden ratio.
It is because during the construction of the pantheon in paris golden ratio was used, thus it is the answer to the fiil up.
The Pantheon in Paris is a neoclassical building that was designed by the architect Jacques-Germain Soufflot in the 18th century.It is known for its impressive proportions and use of mathematical principles in its design.
The building is circular in plan and has a dome that rises above the centre of the structure. The diameter of the dome is equal to the height of the building, creating a perfect sphere.
The height of the building and the diameter of the dome are also related by a mathematical formula known as the golden ratio, which is a ratio of approximately 1.618.
This mathematical proportion is often found in nature and is believed to be aesthetically pleasing to the human eye. The use of mathematical principles in the design of the Pantheon in Paris demonstrates the importance of math in architecture and the visual arts.
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On a coordinate plane, triangle G H J has points (1, 1), (4, 1), (4, 5). What is the area of triangle GHJ? 5 square units 6 square units 7 square units 12 square units
Answers
Answer:
B: 6 units
Step-by-step explanation:
just took the test
The area of triangle GHJ is 6 square units.
What is a triangle?A triangle is a 2-D figure with three sides and three angles.
The sum of the angles is 180 degrees.
We can have an obtuse triangle, an acute triangle, or a right triangle.
We have,
To find the area of triangle GHJ, we can use the formula:
Area = (1/2) x base x height
where the base is any one of the sides of the triangle, and the height is the perpendicular distance from that side to the opposite vertex.
We can choose any side of the triangle as the base, but it is convenient to choose the side that is horizontal or vertical to simplify the calculations.
In this case,
We can choose the base to be the side GH, which has a length of 3 units (since the x-coordinates of G and H are different).
To find the height of the triangle,
We need to draw a perpendicular line from the vertex J to the base GH, and then calculate its length.
Since the x-coordinate of J is 4 and the x-coordinates of G and H are both 1, the base GH is 3 units long.
Also,
The y-coordinate of J is 5, and the y-coordinates of G and H are both 1, so the height of the triangle is 4 units.
The area of triangle GHJ is:
Area = (1/2) x base x height
Area = (1/2) x 3 x 4
Area = 6 square units
Thus,
The area of triangle GHJ is 6 square units.
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Find a counterexample to show that the conjecture is false. The product of two positive numbers is always greater than either number.
Answers
Answer:
\(\frac{1}{2}\)×\(\frac{1}{4}\)=\(\frac{1}{8}\)
Step-by-step explanation:
This sentence isn't always true.
here is a counter example :The trick is to use fractional numbers .
\(\frac{1}{2}\) ×\(\frac{1}{4}\) = \(\frac{1}{8}\)let's analyse this example :
\(\frac{1}{2}\)\(\geq\)\(\frac{1}{8}\) and \(\frac{1}{4}\)\(\geq\)\(\frac{1}{8}\)1/2=0.5 and 1/4=0.25 but 1/8=0.125
0.125<0.25<0.5
here is another example : (1/2)*(1/3)=1/6the same thing : 1/6<1/3<1/2The product of two positive numbers is less than either number i.e. 4 × (1/2) = 2 < 4 which counterexample shows that the conjecture is false.
What is the number system?A number system is defined as a way to represent numbers on the number line using a set of symbols and approaches. These symbols, which are known as digits, are numbered 0 through 9. Based on the basic value of its digits, different types of number systems exist.
What are Arithmetic operations?Arithmetic operations can also be specified by subtracting, dividing, and multiplying built-in functions. The operator that performs the arithmetic operation is called the arithmetic operator.
* Multiplication operation: Multiplies values on either side of the operator
For example 12*2 = 24
We have been that conjecture "The product of two positive numbers is always greater than either number."
As per the given condition,
For example: 4 × (1/2) = 2 < 4
Therefore, the product of two positive numbers is less than either number i.e. 2 < 4.
Hence, the above counterexample shows that the conjecture is false.
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A eyeglasses store is checking their inventory. The table shows the relationship between the number of days since the opening of the eyeglasses store and the total amount of sunglasses in their inventory.
Sunglasses Inventory
Number of Days Total Amount of Sunglasses
2 54
5 48
7 44
10 38
Which of the following graphs shows the relationship given in the table?
Answers
A graph giving us a idea about relationship between the number of days and total amount of sunglasses is mentioned in the image attached below.
How to construct and plot the data on a graph?In this case, using Microsoft Excel, the number of days would be plotted on the x-axis (x-coordinate) of the scatter plot and the total number of sunglasses would be plotted on the y-axis (y-coordinate).
From the scatter plot (attached image) which shows the relationship between the number of days and total amount of sunglasses, a linear equation for the line of best fit is given by:
y = -2x + 62
Hence, we can reasonably infer and logically deduce that the scatter plot indicates an inverse relationship between the number of days and total amount of sunglasses.
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Answer:C
Step-by-step explanation:
How do you calculate decay from half-life?
Answers
Using the formula T1/2 = 0.693/λ, we may determine decay from half-life.
What is half-life?The half-life is the amount of time needed for half of the initial population of radioactive atoms to decay.
T1/2 = 0.693/λ describes the relationship between the half-life, T1/2, and the decay constant.
A percentage is used to represent the degradation rate.
Simply decreasing the percent and dividing it by 100 yields the decimal equivalent.
The decay factor b = 1-r can therefore be calculated.
For instance, the exponential function's decay rate is 0.25, and the decay factor b = 1- 0.25 = 0.75 if the rate of decay is 25%.
Nearly all decay processes that are exponential, or nearly exponential, are referred to by the phrase "half-life".
Therefore, using the formula T1/2 = 0.693/λ, we may determine decay from half-life.
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1.If tan(x + y) = 4 and tan y = 2, find the numerical
value of tan x.
Answers
Will mark brainlist if correct
Answers
Ufbjdndibdisjs
Answer:
The answer is 3 ≤ y ≤ 8.
Step-by-step explanation:
When we want to find range of a function, we have to look at maximum and minimum value of y-axis.
So the range of this function is 3 ≤ y ≤ 8.
tell me anything you know about my hero academia :> And does anyone know what 41 = -3y + 11 by any chance its ok if you don't.
Answers
Answer:
y=-10
Step-by-step explanation:
In this problem you're trying to figure out what y equals.
First you subtract 11 from both sides.
30=-3y
Then, you divide each side by -3 to find y.
-10=y
y=-10
Answer:
1- nothing
2- y=-10
Step-by-step explanation:
1- I like anime but I have to finish naruto and the death note first .
2- 41=-3y+11
41-11=30
30/-3=-10
answer
y=-10
what is the volume of a sphete with a radius of 4 cm ? use 3.14 for pie and give your answer to the nearest hundredth ____ cm ^3
Answers
Given:
The radius of the sphere is 4 cm.
To find: The volume of the sphere
Explanation:
The formula of the volume of a sphere is,
\(V=\frac{4}{3}\pi r^3\)Substituting the values we get,
\(\begin{gathered} V=\frac{4}{3}\times3.14\times4^3 \\ V=267.946 \\ V\approx267.95cm^3 \end{gathered}\)Final answer: The volume of the sphere is 267.95 cubic cm.
Luke drove 260 miles in 4 hours. If he continued at the same rate how far would he travel in 18 hours?
Answers
Answer:
(260/4)*18 = 1,170 miles
Step-by-step explanation:
A trailer will be used to transport several 40-kilogram crates to a store. The greatest amount of weight that can be loaded onto the trailer is 1,050 kilograms. An 82-kilogram crate has already been loaded onto the trailer. What is the greatest number of 40-kilogram crates that can also be loaded onto the trailer?
Answers
The greatest number of 40-kilogram crates that can be loaded onto the trailer = 24
Let us assume that n represents the greatest number of 40-kilogram crates that can be loaded onto the trailer.
The greatest amount of weight that can be loaded onto the trailer is 1,050 kilograms.
Here, 82-kilogram crate has already been loaded onto the trailer.
From this information, we can formulate an equation as,
1050 = 82 + (40 × n)
We solve above equation for n.
40n = 1050 - 82
n = 968 / 40
n = 24.2
As the number of crates can not be a decimal number.
n ≈ 24
This is the greatest number of 40-kilogram crates that can be loaded onto the trailer.
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Add.
(56² − 3b + 2) + (26 — 4)
What is the answer? Enter your answer in the blanks.
Answers
Answer:
The correct answer is 5b²-b-2
there are 12 members in LOONA. if you take away 1 member that goes on hiatus for a bit, how many members are left for promotion in LOONA?
Answers
Answer:
11 but there are still 12 members in LOONA
Answer:
11
Step-by-step explanation:
help
Which of the following pairs of base and height produces the greatest area? All measurements are in centimeters.
(Remember, the area of a parallelogram can be found by multiplying the base \cdot⋅ height, A = b\cdot hb⋅h)
b=4, h=3.5
b=0.8, h=20
b=6, h=2.25
b=10, h=1.4
Answers
Answer:
second option: b = 0.8, h = 20
Step-by-step explanation:
areas are as follows:
14
16
13.5
14
find the area under the standard normal curve to the left of z=−2.9z=−2.9 and to the right of z=0.28z=0.28. round your answer to four decimal places, if necessary.
Answers
The area between these two values is approximately 0.3876.
To find the area under the standard normal curve to the left of z=−2.9z=−2.9, we can use a standard normal distribution table or a calculator. Using a calculator, we can find the area to be approximately 0.0021.
To find the area under the standard normal curve to the right of z=0.28z=0.28, we can use the same methods. Using a calculator, we can find the area to be approximately 0.3897.
To find the area between these two values, we can subtract the area to the left of z=−2.9z=−2.9 from the area to the right of z=0.28z=0.28.
Thus, the area between these two values is approximately 0.3876. Rounded to four decimal places, the answer is 0.3876.
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Please help!
The percents of students who travel to school by car, bus, and bicycle are shown for a school of 825 students.
Car: 20%
School bus: 48%
Bicycle: 8%
What percent of students use another method to school
Also but it into a bar graph
Answers
Answer:
24%
Step-by-step explanation:
The question asks what percent of students so 20% + 48% + 8% = 76%
100% - 76% = 24%
You earn $250 working for your uncle for the day. Your uncle needs 12% of the money to pay for gas. How much money do you need to give your uncle?
Answers
I'm pretty sure it would be $30
Answer:
I believe the answer is, you need to give your uncle 30 dollars.
Step-by-step explanation:
Can someone pls help me out
Answers
___________
\( \: \)
\(\boxed{ \rm{answer \: by \: { \boxed{ \rm{☆HayabusaBrainly}}}}}\)
This is Question no picture, soo iam work in question before^^
Step by step :x² = 12² + 10²
x² = 144 + 100
x² = 244
x = 15,6m✔
A school band consists of 45 boys and 50 girls of total number of boy 18 play the drums what percent of boys in the band play the drums
Answers
Someone please help me with this problem! Will mark brainliest!
Answers
Answer:
I need a question, then I will help
Step-by-step explanation:
The table below shows the linear relationship between
the distance in feet below sea level and the time in
seconds traveled by a submarine.
What is the rate of change low of the distance in the feet below sea level with respect to time that the box submarine traveled?
Answers
The rate of change of the distance with respect to time that the box submarine traveled is 11 feet per second
How to determine the rate of change of the distance with respect to time the box submarine traveled?A rate of change describes how one quantity changes in relation to another quantity.
Mathematically, it is defined as the change in one quantity divided by the change in the other quantity.
In this case, we have:
rate of change = change in distance / change in time
Use the data in the table:
rate of change = 545-380/15-0
rate of change = 165/15 = 11
Note: You can pick any 2 data points for the calculation
Therefore, 11 feeet per second is the rate of change of the distance in feet below sea level with respect to time that the box submarine traveled
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If + 6 =22, then what is + 3?
Emojis are part of question
Answers
Answer:
19
Step-by-step explanation:
first solve for the missing value in the first expression:
x + 6 = 22
-6 -6
x = 16
Now solve the second expression with the found missing value
x + 3 = _
16 + 3 = 19
Let P(n) be the equation: 11⋅2+12⋅3+⋅⋅⋅+1n⋅(n+1)=nn+1 for all the natural numbers n≥1.
A mathematical induction proof consists of two steps: the basis step and the inductive step. Answer the following questions: Show the equation is true in the basis step. What is the equation of the inductive hypothesis (IH)? You don't need to show the equation is true. What is the equation we need to show in the inductive step?
Answers
In the basis step of the mathematical induction proof for P(n), we show that the equation is true for n = 1. The equation of the inductive hypothesis (IH) is P(k), where k is an arbitrary natural number. In the inductive step, we need to show that if P(k) is true, then P(k+1) is also true.
In the basis step, we substitute n = 1 into the equation 11⋅2+12⋅3+⋅⋅⋅+1n⋅(n+1)=nn+1. This gives us the equation 1⋅2 = 1+1, which is true.
The inductive hypothesis (IH) is denoted as P(k), where k is an arbitrary natural number. We assume that P(k) is true, meaning that 11⋅2+12⋅3+⋅⋅⋅+1k⋅(k+1)=kk+1 holds.
In the inductive step, we need to show that if P(k) is true, then P(k+1) is also true. This involves substituting n = k+1 into the equation 11⋅2+12⋅3+⋅⋅⋅+1n⋅(n+1)=nn+1 and demonstrating that the equation holds for this value. The specific equation we need to show in the inductive step is 11⋅2+12⋅3+⋅⋅⋅+1(k+1)⋅((k+1)+1)=(k+1)(k+1+1).
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In the basis step, we need to show that the equation P(1) is true. The equation of the inductive hypothesis (IH) is P(k), where k is any natural number greater than or equal to 1. In the inductive step, we need to show that if P(k) is true, then P(k+1) is also true.
To prove the equation P(n): 11⋅2 + 12⋅3 + ... + 1n⋅(n+1) = n(n+1) using mathematical induction, we follow the two-step process.
1. Basis Step:
We start by showing that the equation is true for the base case, which is n = 1:
P(1): 11⋅2 = 1(1+1)
Simplifying, we get: 2 = 2, which is true.
2. Inductive Step:
Assuming that the equation is true for some arbitrary value k, the inductive hypothesis (IH) is:
P(k): 11⋅2 + 12⋅3 + ... + 1k⋅(k+1) = k(k+1)
In the inductive step, we need to show that if P(k) is true, then P(k+1) is also true:
P(k+1): 11⋅2 + 12⋅3 + ... + 1k⋅(k+1) + 1(k+1)⋅((k+1)+1) = (k+1)((k+1)+1)
By adding the (k+1)th term to the sum on the left side and simplifying the right side, we can demonstrate that P(k+1) is true.
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Megan is buying 168 balloons for a large party. At Jamie's Party Store, balloons are sold in packs of 12 and packs of 36. Costs for each pack are shown. 36 $11.88 12 $5.16 How many packs of 12 and 36 balloons should Megan buy from Jamie's Party Store to spend the least amount of money? Megan should buy packs of 36 balloons, and packs of 12 balloons.
Answers
Answer:
$57.84
Step-by-step explanation:
Balloons needed = 168
Cost of 36 balloons per pack = $11.88
Cost of 12 balloons per pack = $5.16
cost per balloon
36 per pack = $11.88 / 36
= $0.33
12 per pack = $5.16 / 12
= $0.43
In order to minimize cost, she should buy as many packs of 36 per pack balloon
36 per pack × 1 pack = 36
36 per pack × 2 packs = 72
36 per pack × 3 packs = 108
36 per pack × 4 packs = 144
36 per pack × 5 packs = 180
The required number of balloons is 168
So, the number of possible 36 packs to buy is 4, that is, 144 balloons
Balloons remaining = 168 - 144
= 24
Possible packs of 12 balloons per pack possible is
12 per pack × 1 pack = 12
12 per pack × 2 packs = 24
Therefore, Megan needs to buy 4 packs of 36 balloons per pack and 2 packs of 12 balloons per pack
Cost of 4 packs of 36 balloons per pack = 4 × $11.88
= $47.52
Cost of 2 packs of 12 balloons per pack = 2 × $5.16
= $10.32
Total cost = $47.52 + $10.32
= $57.84
does this interval give convincing evidence of a difference between the population proportions? justify your answer. no. because the interval does not contain 0, there is not convincing evidence that the true proportion of men who can identify egypt on the map is different than the true proportion of women that can identify egypt on a map. yes. because the interval does not contain 0, there is convincing evidence that the true proportion of men who can identify egypt on the map is different than the true proportion of women that can identify egypt on a map. no. because the interval does not contain negative numbers, there is not convincing evidence that the true proportion of men who can identify egypt on the map is different than the true proportion of women that can identify egypt on a map. yes. because the interval does not contain negative numbers, there is convincing evidence that the true proportion of men who can identify egypt on the map is different than the true proportion of women that can identify egypt on a map. no. because the conditions were not met, we cannot use this interval to conclude that there is convincing evidence that the true proportion of men who can identify egypt on the map is different from the true proportion of women that can identify egypt on a map.
Answers
The answer to the question is no, there is not convincing evidence of a difference between the population proportions.
Confidence intervals are used to estimate the range of possible values of an unknown population parameter based on a sample. If the confidence interval does not contain 0, it means that the difference between the sample proportions is statistically significant, which suggests that the difference between the population proportions may also be statistically significant. However, to conclude that there is convincing evidence of a difference between the population proportions, it is important to make sure that the conditions for performing the hypothesis test have been met, such as the independence of the sample and the normality of the population.
In this case, it seems that the conditions have not been met, so we cannot use this interval to conclude that there is convincing evidence that the true proportion of men who can identify Egypt on the map is different from the true proportion of women that can identify Egypt on a map.
Therefore, the answer to the question is no, there is no convincing evidence of a difference between the population proportions.
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The answer to the question is no, there is not convincing evidence of a difference between the population proportions.
Confidence intervals are used to estimate the range of possible values of an unknown population parameter based on a sample. If the confidence interval does not contain 0, it means that the difference between the sample proportions is statistically significant, which suggests that the difference between the population proportions may also be statistically significant. However, to conclude that there is convincing evidence of a difference between the population proportions, it is important to make sure that the conditions for performing the hypothesis test have been met, such as the independence of the sample and the normality of the population.
In this case, it seems that the conditions have not been met, so we cannot use this interval to conclude that there is convincing evidence that the true proportion of men who can identify Egypt on the map is different from the true proportion of women that can identify Egypt on a map.
Therefore, the answer to the question is no, there is no convincing evidence of a difference between the population proportions.
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Norma is buying a home with a $180,000 mortgage using a 5.5 percent, 30-year loan. How much of the first month's payment will go to principal
Answers
In the first month's payment for a $180,000 mortgage with a 5.5 percent, 30-year loan, a portion will go towards the principal. The exact amount can be determined using an amortization schedule.
To calculate how much of the first month's payment goes towards the principal, we can follow these steps:
Step 1: Determine the monthly interest rate: Divide the annual interest rate by 12 to obtain the monthly interest rate. In this case, 5.5 percent divided by 12 equals 0.004583 (approx).
Step 2: Calculate the monthly payment: Use a loan payment formula or a mortgage calculator to determine the monthly payment amount. For a $180,000 mortgage with a 30-year loan term and a 5.5 percent interest rate, the monthly payment would be approximately $1,019.32 (approx).
Step 3: Create an amortization schedule: An amortization schedule shows the breakdown of each monthly payment, indicating the amount allocated to interest and principal. Using the loan details, create an amortization schedule or use an online tool to generate one.
Step 4: Locate the first month on the schedule: Find the first month's entry on the amortization schedule to determine the amount allocated to principal. This amount will vary depending on the specific terms of the loan. Locate the principal portion of the payment, which represents the reduction of the loan balance.
By following these steps and referencing the amortization schedule, you can determine the exact amount of the first month's payment that goes towards the principal of the $180,000 mortgage.
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