Answer:
\(y = \frac{1}{2}x - 4\)
Step-by-step explanation:
Given
\(y = \frac{1}{2}x\)
Required
Shift \(3\ units\) down and \(2\ units\) right
\(y = \frac{1}{2}x\)
Shift 3 units down
The rule is: (x,y)=> (x,y-a)
Where a is the number of units shifted down
In this case: \(a = 3\)
So, we have:
\(y = \frac{1}{2}x\) == > \(y = \frac{1}{2}x - 3\)
Shift 2 units right
The rule is: (x,y)=>(x-b,y)
Where b is the number of units shifted right
In this case: \(b = 2\)
So, we have:
\(y = \frac{1}{2}x - 3\) ==> \(y = \frac{1}{2}(x - 2) - 3\)
Open bracket:
\(y = \frac{1}{2}x - 1 - 3\)
\(y = \frac{1}{2}x - 4\)
Hence, the new equation after the transformation is:
\(y = \frac{1}{2}x - 4\)
Each class in the school made 15 Jack-o'-lanterns to display in the halls. If there are 47 classes in the school, how many Jack-o'- lanterns were made to display in the halls?
6th grade Math
Answer:
it's 705 Jack-o'-lanterns
Step-by-step explanation:
All you do is times 15x47 =705
I hope that was the answer :)
The domain is ? (image attached)
logx+5 64 = 2
Please help!!
Solve and round to the nearest 100th
Explain how
WILL GIVE BRAINIEST FIRST ANSWER
The left-hand side of the equation represents the logarithm of 64 with base x, and it is not possible to find a real value of x that satisfies the equation.
solve the equation logₓ(64) + 5 = 2, we can follow these steps:
Step 1: Move the constant term to the other side of the equation:
logₓ(64) = 2 - 5
logₓ(64) = -3
Step 2: Rewrite the equation in exponential form:
x^(-3) = 64
Step 3: Rewrite 64 as a power of x:
x^(-3) = x^6
Step 4: Set the exponents equal to each other:
-3 = 6
The equation -3 = 6 is not true, which means there is no real solution to the given equation.
Therefore, the equation logₓ(64) + 5 = 2 has no solution in the real number system.
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Billy took 5 tests in his math class. He scored an 89,88,93,90 and 81. What is the variance of his grades in these test? If necessary, round to the nearest hundredth.
The variance of Billy's grades obtained from his test scores is 15.76
What is variance?The variance is a measure of variability or spread a dataset. The variance can be calculated from the sum of the square of the differences of the data points from the mean divided by the number or count of the data points.
The variance of Billy's test scores can be calculated by finding the mean or the average of the scores, then finding the sum of the squares of the differences of each score from the mean as follows;
The mean score = (89 + 88 + 93 + 90 + 81)/5 = 88.2
The square of the differences of the values from the mean can be calculated as follows;
(89 - 88.2)² = 0.64, (88 - 88.2)² = 0.04, (93 - 88.2)² = 23.04, (90 - 88.2)² = 3.24, and (81 - 88.2)² = 51.84
The sum of the square of the differences is therefore;
0.64 + 0.04 + 23.04 + 3.24 + 51.84 = 78.8
The variance is therefore; 78.8/5 = 15.76Learn more on the variance of a set of data here: https://brainly.com/question/30701163
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What is the meaning of "\( \varphi (x,y)\) be \( y\wedge \phi (x)\) "?
The reasoning presented lacks explicit explanations and logical connections between the steps, making it difficult to fully understand the intended proof strategy.
The given proof aims to show that the Separation Axioms can be derived from the Replacement Schema using a particular construction involving a formula p(x, y). Let's analyze the proof step by step:
Define the formula p(x, y) as x = yo(x).
This formula states that for each x, y pair, x is equal to the unique object y such that y is obtained by applying the operation o to x.
Define the set F as {(x, x) (x)}.
This set F contains pairs (x, x) where x is the unique object obtained by applying the operation (x) to x.
Claim: F(X) = {y (x = X)p(x, y)} = {y: (x = X)x = y^o(x)} = {x: (3x € X)o(x)} = {x X: (x)}.
This claim asserts that F(X) is equivalent to {y (x = X)p(x, y)}, which is further equivalent to {y: (x = X)x = y^o(x)}, and so on.
The proof states that since (x, y) satisfies the functional formula VaVyVz(p(x, y)^(x, z) y = z), it follows that (x, y) is a functional formula.This step emphasizes that the formula p(x, y) satisfies certain properties that make it a functional formula, which is relevant for the subsequent deductions.
Finally, the proof concludes that the Separation Axioms follow from the Replacement Schema, based on the previous steps.
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find the y-intercept
Answer:
(0, -6)
Step-by-step explanation:
you could’ve substituted zero in for y, and solver for x, or you could’ve simply graphed the parabola.
Answer:
(0,-6)
Step-by-step explanation:
For Mean = 73.19, Mode = 79.56 and Variance = 16, the Karl Pearson's Coefficient of Skewness will be -0.0256 -1.64 0.0256 0
Answer:
To calculate Karl Pearson's coefficient of skewness, we need to use the formula:
Skewness = 3 * (Mean - Mode) / Standard Deviation
Given the Mean = 73.19, Mode = 79.56, and Variance = 16, we need to find the Standard Deviation first.
Standard Deviation = √Variance = √16 = 4
Now we can substitute the values into the formula:
Skewness = 3 * (73.19 - 79.56) / 4
Skewness = -6.37 / 4
Skewness = -1.5925
Rounded to four decimal places, the Karl Pearson's coefficient of skewness for the given values is approximately -1.5925.
John wishes to choose a combination of two types of cereals for breakfast - Cereal A and Cereal B. A small box (one serving) of Cereal A costs $0.50 and contains 10 units of vitamins, 5 units of minerals, and 15 calories. A small box (one serving) of Cereal B costs $0.40 and contains 5 units of vitamins, 10 units of minerals, and 15 calories. John wants to buy enough boxes to have at least 500 units of vitamins, 600 units of minerals, and 1200 calories. How many boxes of each cereal should he buy to minimize his cost?
Let's assume that John buys x boxes of Cereal A and y boxes of Cereal B. Then, we can write the following system of inequalities based on the nutrient and calorie requirements:
10x + 5y ≥ 500 (minimum 500 units of vitamins)
5x + 10y ≥ 600 (minimum 600 units of minerals)
15x + 15y ≥ 1200 (minimum 1200 calories)
We want to minimize the cost, which is given by:
0.5x + 0.4y
This is a linear programming problem, which we can solve using a graphical method. First, we can rewrite the inequalities as equations:
10x + 5y = 500
5x + 10y = 600
15x + 15y = 1200
Then, we can plot these lines on a graph and shade the feasible region (i.e., the region that satisfies all three inequalities). The feasible region is the area below the lines and to the right of the y-axis.
Next, we can calculate the value of the cost function at each corner point of the feasible region:
Corner point A: (20, 40) -> Cost = 20
Corner point B: (40, 25) -> Cost = 25
Corner point C: (60, 0) -> Cost = 30
Therefore, the minimum cost is $20, which occurs when John buys 20 boxes of Cereal A and 40 boxes of Cereal B.
Help it’s math work
The measure of one exterior angle in this regular polygon (pentagon) is equal to 72°.
How to determine the measure of an exterior angle?In Geometry, the measure of the sum of the angles of a convex quadrilateral, pentagon, and a nonagon is equal to 360 degrees. This ultimately implies that, the sum of all the exterior angles of a regular polygon must add up to 360 degrees.
Mathematically, the exterior angle of a regular polygon can be calculated by using this mathematical expression:
Exterior angle = 360/number of sides
Note: The given regular polygon is a pentagon and it has 5 sides.
Therefore, by substituting we have the following:
Exterior angle = 360/5
Exterior angle = 72 degrees.
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You buy 3 gallons of milk at $2.48/gallon, 2 gallons of
ice cream at $1.49/gallon, and 4 lbs of strawberries at
$0.58/1b. What is your total cost?
(1 point)
O$9.51
O$12.74
0$4.55
O$10.67
The total cost is $12.74
In this question, we have been given the cost of 1 gallon of milk, 1 gallon of ice-cream and 1 1b of strawberry.
1 gallon of milk costs $2.48,
1 gallon of ice-cream costs $1.49
and 1b of strawberry costs $0.58
You buy 3 gallons of milk, 2 gallons of ice cream, and 4 lbs of strawberries.
So by unitary method total cost would be,
(3 * 2.48) + (2 * 1.49) + (4 * 0.58) = $12.74
Therefore, the total cost is $12.74
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5
* Alina goes to the market once every 4 days.
.
Karen goes to the market once every 5 days.
They met at the market today.
How many days later will they first meet again at the market?
Answer:
I think 1 day
Step-by-step explanation:
I am not sure :)
A grab-bag contains 30 packages worth $.65 each, 10 packages $.60 cents each, and 15 packages worth $.30 each. How much should the game owner charge to make it a fair game?
Answer:
$0.40
I had the same question and it was $0.40
Answer:
$0.55
Got it on the test, hope this helps :)
The dot plots show the number of hours a group of fifth graders and seventh graders spent playing outdoors over a one-
week period.
Time Spent Playing Outdoors
for Fifth Graders and Seventh Graders
.
5th Grade
0
ta
1 2 3 4 5
Hours
7
8
9 10
7th Grade
.
Answer: B
Step-by-step explanation:
Answer:B
Step-by-step explanation: I took the edge quiz and it was right.
what is 4,928 will rounded to the nearest hundred
Answer:
4,928 rounded to the nearest hundred = 4,900
Step-by-step explanation:
Greetings!
Determine the two consecutive multiples of 100 that bracket 4,928.4,928 is between 4,900 and 5,000.4,950 is the midpoint between 4,900 and 5,000.As illustrated on the number line, 4,928 is less than the midpoint (4,950).Therefore, 4,928 rounded to the nearest hundred = 4,900.Hope it helps!
Answer:
The answer is 4900, because the next number is less than five, due to that we don't have to add a number (+1).
---
Thank you so much for participate in the community of Brainly.com
I hope help you :)
Kind regards, Antonio.
If a fair coin is tossed 8 times, what is the probability, rounded to the nearest
thousandth,of getting at least 6 heads?
The probability of getting at least 6 heads is3/256 or 0.0117
What is probability ?Probability shows possibility to happen an event, it defines that an event will occur or not. The probability varies from 0 to 1.
Simply put, probability is the likelihood that something will occur. When we don't know how an event will turn out, we might discuss the likelihood or likelihood of several outcomes. Statistics is the study of occurrences that follow a probability distribution.
Probability is a measure of how likely something is to occur. Calculating probability involves dividing the total number of outcomes by the number of possible ways an event may occur.
Given that,
A fair coin is tossed = 8 time.
We have to find the probability of getting at least 6 heads.
Since, the probability of getting head, when one coin is tossed = 1/2
And the probability of getting tale = 1/2
The probability of getting head at least 6 times when coin is tossed 8 times can be given as,
The head can come 6 times, then probability = \((1/2)\x^{6} (1/2)\x^{2}\) = (1/2)⁸
The head can come 7 times, then probability = (1/2)⁷(1/2) = (1/2)⁸
The head can come 8 times, then probability = (1/2)⁸
The probability of getting head at least 6 times
= (1/2)⁸ + (1/2)⁸ + (1/2)⁸ = 3(1/2)⁸ = 3/256 = 0.0117
The probability of getting at least 6 heads is3/256 or 0.0117
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173 The midpoint between x and a is m. What is x ?
If so, \(m=\frac{x+a}{2}\) when solved for x will yield \(x=2m-a\).
Hope this helps.
Write 22,22 as a fraccion
Answer:
1/1
Step-by-step explanation:
22/22 =1
Can someone answer this question?
The graph of the polynomial function y = f(x) in the xy plane could be the first graph.
Given a polynomial function f.
Range of the polynomial function is the set of all the real numbers less than or equal to 4.
So y values are y ≤ 4
So the vertex of the function will be at y = 4 and other value are less than 4.
So parabola is downwards.
Two options are there with the parabola folded downwards.
Now the zeroes of f are at -3 and 1.
Zeroes of f are the values of x where the function touches the X axis.
Hence the correct graph is first one.
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Hi please help on question! . If answer is correct I'll rate you five stars a thanks and maybe even brainliest! You will even get 39 pts!!
Here is a function machine.
Input : multiply by 6. Subtract 80: output
The input is the same as the output. Find the input.
Also can you please show me an easy to work out these type of questions
The input (x) that satisfies the condition of being multiplied by 6 and then Subtracted by 80 to give the same value as the output is 16.
The input as "x." According to the given information, the input (x) is multiplied by 6 and then subtracted by 80, resulting in the output. In mathematical terms, this can be expressed as:
Output = (6 * x) - 80
The problem states that the input and output are the same. Therefore, we can set up the equation:
x = (6 * x) - 80
To solve for x, we'll rearrange the equation and isolate the variable:
x - 6 * x = -80
Combine like terms:
-5 * x = -80
Divide both sides by -5:
x = (-80) / (-5)
Simplifying the division:
x = 16
Hence, the input (x) that satisfies the condition of being multiplied by 6 and then subtracted by 80 to give the same value as the output is 16.
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Danny bought 8 rolls of paper towels. He has 204.8 meters of paper towels in all. How many meters of paper towels are on each roll? A) 21.52 B) 25.12 C) 25.60 D) 26.52
Answer:C) 25.60
Step-by-step explanation:204.8÷8=25.60
Answer:
:C) 25.60
Step-by-step explanation:
Consumerism A local feed store sells a 100-pound bag of feed for $10.90. If
a customer buys more than one bag, each additional bag costs $10.50. A
customer bought $84.40 worth of feed. How many 100-pound bags of feed
did this customer purchase?
Imma just leave this here imma do brainlyest
Answer: The can of Coke i would say because it cost least unless by best buy they mean higher price then the pepsi!
~ Zachary
Use the diagram to find the angle measures
of the triangle. Recall that the sum of the
angle measures of a triangle is 180º.
9x
(x+4)
.
x =
(x+4)° = °
9x =
Answer:
x=16
(x+4)=20
9x=144
Step-by-step explanation:
9x+x+4+x=180
11x+4=180
11x=180-4
11x=176
\(x = \frac{176}{11} \)
x=16
How does the precision of linear measurements affect calculated measurement?
Answer:
Find the difference (subtract) between the accepted value and the experimental value, then divide by the accepted value. To determine if a value is precise find the average of your data, then subtract each measurement from it.
Step-by-step explanation:
Which statement describes the relationship between x
and y?
As x increases, y decreases.
QAs x increases, y increases.
O As x increases, y increases and then decreases.
As x increases, y decreases and then increases.
Answer:
1.) inverse proportion : 1kx = y
2) direct proportion. y = kx
Seven years ago, Grogg's dad was 6 times as old as Grogg, and 3 years ago, his dad was 4 times as old as Grogg. How old is Grogg's dad currently?
Answer:
Grogg's dad is 22
Step-by-step explanation:
Let D = dad's current age
Let g = Grogg's current age
6(d - 7) = g - 7 → 6d - 42 = g - 7 → 6d -35 = g
4(d - 3) = g - 3 → 4d -12 = g - 3 → 4d -9 = g
Set the two equations equal to each other and solve for d
6d - 35 = 4d - 9 Subtract 4d from both sides
2d -35 = -9 Add 35 to both sides
2d = 44 Divide both sides by 2
d = 22
Helping in the name of Jesus.
Answer:
Step-by-step explanation:
d = current dad age
g = current grogg age
d-7 = 6(g-7)
d-3 = 4(g-3)
Let's solve the first equation first:
Add 7 to both sides: d - 7 +7 = 6g - 42 + 7 so d = 6g - 35
Substitude d = 6g - 35 for d in d - 3 = 4g - 12
(6g-35)-3 = 4g-12 = 6g-38 = 4g-12
Subtract 4g from both sides: 2g - 38 = -12
Add 38 to both sides: 2g = 26
Easy: g = 13
And now substitude g in for any equations.
d-3 = 52-12
d = 43
Determine the value of the expression –56–8+(−3) .
\(=56-8-3\\=(56-8)-3\\=48-3\\=45\)
GOODLUCK!!!
You have $28.50. You earn additional money by mowing lawns. Then you purchase a new pair of shoes for $45.09 and have $18.41 left. How much money do you earn mowing lawns?
Answer:I earn $26.68 by mowing lawns.
Step-by-step explanation:
Dividing the sum of (7/8) (15/4) (1/12) by their multiplication gives _________
The Division of the sum of (7/8), (15/4), and (1/12) by their multiplication is (2712/168).
To find the division of the sum of (7/8), (15/4), and (1/12) by their multiplication, we first need to calculate the sum and multiplication of the given fractions.
The sum of the fractions is:
(7/8) + (15/4) + (1/12)
To add these fractions, we need a common denominator. The least common multiple of 8, 4, and 12 is 24. Let's convert each fraction to have a denominator of 24:
(7/8) = (21/24)
(15/4) = (90/24)
(1/12) = (2/24)
Now we can add the fractions:
(21/24) + (90/24) + (2/24) = (113/24)
The multiplication of the fractions is:
(7/8) * (15/4) * (1/12)
To multiply fractions, we multiply the numerators and denominators:
(7*15*1) / (8*4*12) = (7/96)
Now we can divide the sum of the fractions by their multiplication:
(113/24) / (7/96)
To divide fractions, we multiply the first fraction by the reciprocal of the second fraction:
(113/24) * (96/7) = (2712/168)
Therefore, the division of the sum of (7/8), (15/4), and (1/12) by their multiplication is (2712/168).
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Which of the following statements are correct?
Please help
Answer:
True A. angles one and five are corresponding angles.
True B. angles three and six are alternate interior angles.
False C. angles two and seven are alternate interior angles.
Angles two and seven are alternate exterior angles.
False D. angles five and eight are alternate exterior angles.
Angles five and Eight are verticle angles.
False E. angles two and four are same-sided consecutive angles.
Angles two and four are supplementary angles
True F. angles four and six are same side consecutive angles.
True G. angles one and eight are alternate exterior angles.