Answer:
Find the HCF of 54 and 84 using both methodsFind the prime factorization of 54. 54 = 2 × 3 × 3 × 3.Find the prime factorization of 84. 84 = 2 × 2 × 3 × 7.To find the GCF, multiply all the prime factors common to both numbers: Therefore, GCF = 2 × 3.GCF = 6.Step-by-step explanation:
Hope it is helpful.....
What is the equation of a line with slope 2 and intercept 4?
The linear equation/slope intercept form is y=mx+b
M is the slope and b is the y-intercept.
So the equation would be: y=2x+4
Answer:
Y = 2x + 4
Step-by-step explanation:
The slope-intercept equation is y = mx + b
M = slope and b = intercept
To make the equation all you have to do is insert the numbers.
So:
Since the slope is 2:
Y = 2x + b.
Since the intercept is 4
Y = 2x + 4.
The table shows the linear relationship between the average height in feet of trees on a tree farm and the number of years since the trees were planted.
What is the rate of change of the average height in feet of the trees on the farm with respect to the number of years since the trees were planted?
The rate of change of the average height in feet of the trees on the farm with respect to the number of years since the trees were planted would be = 7ft/year. That is option C.
How to calculate the rate of change of average height?To calculate the rate of change of the average height of the trees in the farm the following is carried out.
The total heights of the tress that was recorded;
= 10+24+45+80+108
= 267 ft
The total number of years that was recorded;
= 1+3+6+12+15
= 37 years
Therefore the rate of change of the average height of the tress would be = 267/37 = 7 ft/yr.
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What is the value of the expression below? 34 - 9 x 2
The value of the expression 34 - 9 x 2 is 16.
What is the order of operations?The order of operations is a set of rules that dictate the order in which mathematical operations should be performed in an expression. These rules help to ensure that mathematical expressions are evaluated correctly and consistently. The order of operations is typically summarized by the acronym PEMDAS, which stands for:
Parentheses: Perform operations inside parentheses first.
Exponents: Evaluate exponents (powers and square roots, etc.) next.
Multiplication and Division: Perform multiplication and division, from left to right.
Addition and Subtraction: Perform addition and subtraction, from left to right.
In the given questions,
In this case, there are no parentheses or exponents, so we move on to multiplication before subtraction.
We perform the multiplication first, following the rule of performing multiplication before addition or subtraction.
9 x 2 = 18
Then, we subtract the result from 34:
34 - 18 = 16
Therefore, the value of the expression 34 - 9 x 2 is 16.
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two dice are rolled. find the probability of the following event. the first die is 3 or the sum is 6.
The probability of the following event. The first die is 3 or the sum is 6 would be 1/4.
What is the probability?
Probability refers to a possibility that deals with the occurrence of random events.
All events must have a probability of occuring at least once, or 1.
The proportion of positive outcomes to all outcomes is referred to as the probability formula.
Let's assume that the blue die came up first among the two.
A = the amount of times we roll a first-die and get a 3.
B is the quantity of times a total of six occurs.
Now Locate 3 on the blue die and notice there are 6 occurrences when this happens which corresponds to the 6 other possibilities for the red die. So we have A = 5.
Also,there are 5 occurrences of the sum "6" in the table. So B = 5.
We have A+B = 5+5 = 10 occurrences of either the first die is 3 or the sum is 6.
However, we have to subtract off 1 because we double counted "6" when adding A and B.
So in reality we have 10-1 = 9 times this happens.
This is out of 36 total ways to roll two dice.
Therefore, the probability of the following event.
The first die is 3 or the sum is 6 would be 9/36 = 1/4
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Use the quadratic formula to find all degree solutions and if
0° ≤ x < 360°.
Use a calculator to approximate all answers to the nearest tenth of a degree. (Enter your answers as a comma-separated list. If there is no solution, enter NO SOLUTION.)
cos^2 (x) + cos (x) − 1 = 0
(a) all degree solutions (Let k be any integer.)
The degree solutions of the equation are 51.82 degrees and 128.17 degrees
Finding all degree solutions of the equationFrom the question, we have the following parameters that can be used in our computation:
cos² (x) + cos (x) − 1 = 0
Let y = cos(x)
So, we have
y² + y - 1 = 0
When solved graphically, we have
y = ±0.618
This means that
cos(x) = ±0.618
Take the arccos of both sides
x = cos-1(±0.618)
Evaluate
x = 51.82 degrees and 128.17 degrees
Hence, the angles are 51.82 degrees and 128.17 degrees
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Help me please and thank you..
Answer:
You will move each point of this shape 1 unit into the right. Then will move each point of this shape 2 units down. The draw line between each point.Mikey had two mice that were about the same age and weight. Mikey fed each of the two mice a different feed for a month. He measured how much the mice weighed every two days until the month was over. Mikey's results showed that although both mice gained weight over the month, mouse 2 gained more weight than mouse 1.Which graph below best shows these results?
Mikey had two mice that were about the same age and weight. Mikey fed each of the two mice a different feed for a month. The line of mouse 2 must be greater than line of mouse 1 in the graph.
Based on your description, it sounds like the weight of mouse 2 increased at a faster rate than mouse 1 over the course of the month. This could be shown on a graph as two lines, one representing the weight of mouse 1 and the other representing the weight of mouse 2.
The line for mouse 2 would be higher, indicating that its weight increased more than that of mouse 1. The x-axis would represent time (in days), and the y-axis would represent weight. The complete graph is attached.
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To train for a race, Michele jogged6 miles each day before the last two daysbefore the race. She jogged 10 mileseach of those two days. Write anexpression to represent the number ofmiles that Michele jogged in preparationfor the race. Let d represent the numberof days.
6 (d-2)+20
6 miles each day (except for the last 2 days)
10 miles the last 2 days. (10 miles x 2 days = 20 miles)
So the expression is:
6 (d-2) + 10(2)
6 (d-2)+20
Where d is the number of days
Which equation is equivalent to the given equation?
x²- 10x = 14
-
(x - 10)² =-86
(x - 5)² = 39
(x - 5)²= = -11
(x-10)²= 114
Find the Mean Absolute Deviation (MAD) of the following test scores.
Remember, the Mean is just the first step.
Scores:
{ 48, 61, 73, 76, 76, 74 }
Based on the calculation below, the Mean Absolute Deviation (MAD) of the test scores is 0.
How to calculate Mean Absolute Deviation (MAD)The mean of the 6 test scores is first calculated as follows:
Mean = Sum of the test scores / Number of test scores = (48 + 61 + 73 + 76 + 76 + 74) / 6 = 68
We can now calculate the MAD of the test scores as follows:
MAD = Sum of deviations of all the test scores from the Mean / Number of test scores = ((48 - 68) + (61 – 68) + (73 – 68) + (76 – 68) + (76 – 68) + (74 – 68)) / 6 = 0 / 6 = 0
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Please help ASAP! I will mark Brainliest! Please READ the question THEN answer CORRECTLY! No guessing!
Answer:
j
Step-by-step explanation:
Answer:
B, E, and F
Step-by-step explanation:
The other answer choices are questions you should ask after you have gotten the answer, not when you are trying to understand the problem.
Hope this helped! :)
Would someone like to help me with my math homework and the math is College for Readiness?
I will mark you BRAINLIEST
Answer:
can i help i need points
Step-by-step explanation:
Use the expression 1/4p−(1-1/3p). Rewrite the expression without parentheses.Simplify. Show your work. Use a different method to write the expression without parentheses. Do not simplify
6 ones, 5 tenths, 0 hundredths, 7 thousandths
How is this written in decimal form
Answer:
6.507
I think that this is correct.
£2,300 is invested for 4 years at 5% per year simple interest work out the total interest
Answer:
£460
Step-by-step explanation:
First, converting R percent to r a decimal
r = R/100 = 5%/100 = 0.05 per year,
then, solving our equation
I = 2300 × 0.05 × 4 = 460
I = £ 460.00
The simple interest accumulated
on a principal of £ 2,300.00
at a rate of 5% per year
for 4 years is £ 460.00.
I neead a fast answer 50pts fast (+Brainliest for right answer)!!!!
Answer: The description of that transformation is the triangle is rotated 90 degrees clockwise. Then, it's moved to the right TWICE. Finally, you go down 2 times.
Step-by-step explanation:
Hope this helps :)
triangle B is in dofferent orientation from triangle B so we know it was either mirrored or rotated. Triangle B isnt in the exact opposite orientation as A so we know it wasnt mirrored. So we now know that it was rotated and know we have to find the point of rotation. we can tell that the rotation was 270 degrees anti clockwise since it cant be clockwise because no points of rotation match. since we know triangle A was rotated 270 degrees anti clockwise to get triangle B we cant find the point of rotation by seeing which point works and if we test the points we will see that (0;-1) is the point of rotation. So triangle A was rotated 270 degrees anti clockwise on the point (0;-1) to make triangle B
⚠️WILL GIVE BRAINLIEST⚠️Which equation represents circle N?
A.
(x + 7)2 + (y − 6)2 = 25
B.
(x − 7)2 + (y + 6)2 = 25
C.
(x + 7)2 + (y − 6)2 = 50
D.
(x − 7)2 + (y + 6)2 = 50
Answer:
your answer is option C
Step-by-step explanation:
hope you can understand
Answer:
The answer is indeed C, (x + 7)2 + (y − 6)2 = 50
Step-by-step explanation:
Got it right on edmentum/plato, the other guy is correct. Give him brainliest!
Expand and simplify x(3x + 5)-5(2x - 1)
PLEASE HELP ME AND ANSWER THIS QUESTION !! I need this for my assessment revision
The simplified expression of x(3x + 5)-5(2x - 1) is 3x² - 5x + 5
How to expand and simplify the expressionFrom the question, we have the following parameters that can be used in our computation:
x(3x + 5)-5(2x - 1)
Open the brackets
So, we have
3x² + 5x - 10x + 5
Evaluate the like terms
So, we have
3x² - 5x + 5
Hence, the simplified expression is 3x² - 5x + 5
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1. Select the three rational numbers.
A. 5/1
B. 7/0
C. -0.02
D. 4.17(the 7 repeats)
E. 3.14 (pi)
F. 3.14 (pi squared)
Answer:
A. 5/1
C. -0.02
D. 4.177777....
Step-by-step explanation:
Rational numbers can be written as a ratio of numbers, such as 5/1. As decimals, the numbers either
*** "terminate" the decimal has a certain number of digits and then stops, such -0.02, this can be written as a ratio -2/100 which is -1/50
OR
*** "repeats" , such as 4.17777... which can also be written as a ratio, 4.1777... = 188/45
7/0 is undefined and the pi numbers are irrational, the digits of the decimal do not repeat and do not ever end, therefore NOT rational.
determine what type of model bets fits the given situation: A $500 raise in salary each year
The type of model that best fits the situation of a $500 raise in salary each year is a linear model.
In a linear model, the dependent variable changes a constant amount for constant increments of the independent variable.
In the given case, the dependent variable is the salary and the independent variable is the year.
You may build a table to show that for increments of 1 year the increments of the salary is $500:
Year Salary Change in year Change in salary
2010 A - -
2011 A + 500 2011 - 2010 = 1 A + 500 - 500 = 500
2012 A + 1,000 2012 - 2011 = 1 A + 1,000 - (A + 500) = 500
So, you can see that every year the salary increases the same amount ($500).
In general, a linear model is represented by the general equation y = mx + b, where x is the change of y per unit change of x, and b is the initial value (y-intercept).
In this case, m = $500 and b is the starting salary: y = 500x + b.
particle travels from(-1/3 ,1, -2) to(9,9,6) . Its motion is described by the position function r(t)=(t^3/3, t^2,2t).
a) Find the distance the particle travels along the path, its average speed, and its
displacement [the distance it could have traveled if in a straight line].
b) List a detailed snapshot of the T,N,B frame for this particle at the halfway point (by
time) including curvature and torsion.
The particle travels approximately 45.63 units along the path. The displacement is the straight-line distance between the initial and final positions of the particle is 2781.
To find the distance the particle travels along the path, we can integrate the speed over the interval of time. The speed of the particle is given by the magnitude of its velocity vector.
The velocity vector is the derivative of the position function r(t):
\(v(t) = (d/dt)(t^3/3, t^2, 2t)\)
\(= (t^2, 2t, 2)\)
The speed of the particle at any given time t is:
|v(t)| = √((t^2)^2 + (2t)^2 + 2^2)
= √(t^4 + 4t^2 + 4)
= √((t^2 + 2)^2)
To find the distance traveled along the path, we integrate the speed function over the given interval of time. The particle travels from t = -1/3 to t = 9.
distance = ∫[from -1/3 to 9] |v(t)| dt
= ∫[from -1/3 to 9] |t^2 + 2| dt
= ∫[from -1/3 to 0] -(t^2 + 2) dt + ∫[from 0 to 9] (t^2 + 2) dt
= [-1/3 * t^3 - 2t] (from -1/3 to 0) + [1/3 * t^3 + 2t] (from 0 to 9)
Evaluating the definite integrals:
distance = [-1/3 * 0^3 - 2 * 0 - (-1/3 * (-1/3)^3 - 2 * (-1/3))] + [1/3 * 9^3 + 2 * 9 - (1/3 * 0^3 + 2 * 0)]
= [0 - (1/3 * (-1/27) + 2/3)] + [1/3 * 729 + 18]
= [1/27 + 2/3] + [729/3 + 18]
= 1/27 + 2/3 + 729/3 + 18
= 1/27 + 18/27 + 729/3 + 18
= (1 + 18 + 729)/27 + 18
= 748/27 + 18
= 27.63 + 18
= 45.63 units (approximately)
Therefore, the particle travels approximately 45.63 units along the path.
To find the average speed, we divide the distance traveled by the time taken. The time taken is 9 - (-1/3) = 9 1/3 = 28/3.
average speed = distance / time
= 45.63 / (28/3)
= 45.63 * (3/28)
= 4.9179 units per unit time (approximately)
The displacement is the straight-line distance between the initial and final positions of the particle.
displacement = |r(9) - r(-1/3)|
= |(9^3/3, 9^2, 2 * 9) - ((-1/3)^3/3, (-1/3)^2, 2 * (-1/3))|
= |(27, 81, 18) - (-1/27, 1/9, -2/3)|
= |(27 + 1/27, 81
= 2781.
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Simplify the ratio ASAP answer both promblem
Answer:
1) 1/3
2) 4:1
Step-by-step explanation:
Answer:
1 is 33.33 and 2is 1/4 hope this helps
The product of a number and 19 is equal to the number increased by 3
Explanation:
x = the unknown number
19x = the product of 19 and the unknown number
x+3 = the unknown number increased by 3
Set those two expressions equal to one another. Isolate x.
19x = x+3
19x-x = 3
18x = 3
x = 3/18
x = 1/6
The unknown number is the fraction 1/6.
A game card handed out at a grocery store states the probabilities of winning a prize: 0.2 for $10, 0.1 for $5, and 0.7 for $0. What is the probability of winning any amount of money?
Answer:
Step-by-step explanation:
To calculate the probability of winning any amount of money, we need to sum up the probabilities of winning each individual prize.
Given the probabilities stated on the game card:
Probability of winning $10 prize = 0.2
Probability of winning $5 prize = 0.1
Probability of winning $0 prize = 0.7
To find the probability of winning any amount of money, we add these probabilities together:
0.2 + 0.1 + 0.7 = 1
The sum of the probabilities is 1, which indicates that the total probability of winning any amount of money is 1 or 100%.
Therefore, the probability of winning any amount of money in this game is 100%.
Hope this answer your question
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You are going to the movies with your family. Adult tickets cost $12.50 each. Children's tickets cost $9 each. The other expenses come to $25. Which expression can be use to figure out how much is spent, regardless of how many children and adults come?
A. 12.50 + 9 + 25
B. 12.50c + 9a + 25
C. 12.50a + 9c = 25
D. 12.50a + 9c + 25
Choose one answer.
Twice Carrie’s age increased by three is equal to twenty-five. Which equation can be used to find Carrie’s age, x?
A. 2(x + 3) = 25
B. 2(3) + 25 = x
C. 2x + 3 = 25
D. x + 2(3) = 25
Answer:
The answer is c
Step-by-step explanation:
vJuan purchased 16 lemons and used 5 on the first day of making lemonade. On the second day, he purchased 12 lemons and used 11. Juan wrote this expression to find how many lemons he should have left.
(16 – 5) + (12 – 11)
Which expression correctly uses the additive inverse and properties of operations to show the same value?
Answer:12 Left
Step-by-step explanation:
Answer: He should have 12 lemos left
Step-by-step explanation:
Country A has an exponential growth rate of 4.3% per year. The population is currently 4,079,000, and the land area of Country A is 19,000,000,000 square yards. Assuming this growth rate continues and is exponential, after how long will there be one person for every square yard of land?
The number of years it would it take for there to be one person for every square yard is 108,325.68 years.
How many years would it take for there to be one person for every square yard?When there is one person for every square yard, it means that the population and land area are equal in value.
Number of years = (In FV / PV) / r
FV = future populationPV = present populationr = rate of growth(In 19 billion / 4,079,000) / 0.043 = 108,325.68 years
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Apply the distributive property to factor out the greatest common factor.
24+32p= _____
Answer:
8(3+4p)
Step-by-step explanation:
8 goes into 24 and 32, so it can be factored out:
\(24+32p=8(3+4p)\)
Answer:
8(3 + 4p)
Step-by-step explanation:
Factor 24 + 32p
First, factor out the GCF. In this case, the GCF is 8, and we have
8(3 + 4p)
We can't factor anymore so the answer is 8(3 + 4p)
Nicole made costumes for the annual school play. She used a total length of 1468.8 in of blue fabric. The fabric came in 3 rolls that each had the same length. How much fabric was in each roll? Write your answer in yards.