Answer:
slope of given line is -3/4
Step-by-step explanation:
y-intercept(b) = 3
one coordinate is (4,0)
Now,
y=mx+b
or, 0 = m×4+3
or, 0 = 4m+3
or, 4m = -3
so, m = -3/4
solve for x, 3(xt2)=2(2-x)
Answer:
x=-2/5
Step-by-step explanation:
3x+6=4-2x3x+2x=4-65x/5=-2/5x=-2/5What is the value of the digit in the ones place in each number?431
Answer:
Step-by-step explanation:
400
30
1
400 FOR HUNDREDS
Using a graphical method to determine if a set of ungrouped raw data is normally distributed, that data would be normally distributed if:________.a. The plot of the data was curvilinear
b. The data was randomly distributed
c. The plot of the data was linear
d. The plot of the data was significantly different from zero
Answer: c. The plot of the data was linear
Step-by-step explanation:
If a graphical approach is used to analyze a set of raw data group, if the data set is normally distributed it is linear that is it is (attached to each other), we can conclude that the data set is normally distributed because on the plotted graph the information appears linear.
Levy is painting a miniature model of a World War II tank. His figure uses a 1:72 scale and is 22.5 cm
long. How many centimeters long was the actual tank?
cm
Levy is painting a miniature model of a World War II tank. His figure uses a 1:72 scale and is 22.5 cm long. The actual tank is 1620 cm long.
To determine the length of the actual tank, we need to scale up the length of the miniature model using the given scale of 1:72.
Let's denote the length of the actual tank as "x".
According to the scale, 1 cm on the miniature model represents 72 cm on the actual tank.
So, we can set up the following proportion:
1 cm (miniature model) / 72 cm (actual tank) = 22.5 cm (miniature model) / x cm (actual tank)
Cross-multiplying and solving for x, we get:
x = (72 cm * 22.5 cm) / 1 cmx = 1620 cm
The actual tank is 1620 cm long.
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12. After 2 hours, Morgan had earned $12.75 at her lemonade stand. After 5
hours, she had earned $44.25. Assuming a linear function, write an
equation in the form y=mx+b that shows the profit earned from selling
lemonade for x hours.
Answer:
y = 10.5x - 8.25
Step-by-step explanation:
m = (44.25 - 12.75)/(5 - 2) = 10.5
y = mx + b
y = 10.5x + b
12.75 = 10.5 × 2 + b
b = -8.25
y = 10.5x - 8.25
Jake is comparing the prices of two mattress cleaning companies. Company A charges $30 per mattress and an additional $13 as service charges. Company B charges $28 per mattress and an additional $15 as service charges.
Part A: Write equations to represent Company A's and Company B's total mattress cleaning charges for a certain number of mattresses. Define the variable used in the equations. (1 point)
Part B: Which company would charge less for cleaning 4 mattresses? Justify your answer. (1 point)
Part C: How much money is saved by using the services of Company B instead of Company A to clean 7 mattresses?
The equations are y = 30x + 13 and y = 28x + 15. And the charge less for cleaning 4 mattresses is $127 given by company B. Then the amount of money saved to clean 7 mattresses is $22.
What is a linear equation?A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.
The linear equation is given as,
y = mx + c
Where m is the slope of the line and c is the y-intercept of the line.
Let 'x' be the number of mattresses and 'y' be the total cost. Then the equations are given as,
Company A: y = 30x + 13
Company B: y = 28x + 15
The amount for x = 4 is given as,
Company A: y = 30 (4) + 13 = $133
Company B: y = 28 (4) + 15 = $127
The amount for x = 4 is given as,
Company A: y = 30 (7) + 13 = $223
Company B: y = 28 (7) + 15 = $211
Then the amount of money saved is given as,
⇒ $233 - $211
⇒ $22
The amount of money saved to clean 7 mattresses is $22.
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In an ESP experiment subjects must predict whether a number randomly generated by a computer will be odd or even. (Round your answer to four decimal places.) (b) What is the probability that a subject would guess more than 20 correct in a series of 36 trials?
The probability that a subject would guess more than 20 correct in a series of 36 trials is 0.0001
How to find the pobability that a subject would guess more than 20 correct in a series of 36 trialsIn a series of 36 trials, if the subject is guessing randomly, then the probability of correctly guessing odd or even is 1/2.
Let X be the number of correct guesses in a series of 36 trials. X follows a binomial distribution with parameters n = 36 and p = 1/2.
The probability of guessing more than 20 correct is:
P(X > 20) = 1 - P(X ≤ 20)
Using a binomial distribution table, we can find that P(X ≤ 20) = 0.9999 (rounded to four decimal places).
Therefore: P(X > 20) = 1 - 0.9999 = 0.0001
So the probability that a subject would guess more than 20 correct in a series of 36 trials is 0.0001 (rounded to four decimal places).
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1) Trapezoid WXYZ is located at
W(0,5) X(3,8) Y(7,8) and Z(10,5).
After a translation 8 units left, what
are the new coordinates of the
vertices?
Trapezoid WXYZ is located at W(0,5) X(3,8) Y(7,8) and Z(10,5). After a translation 8 units left, the new coordinates of the vertices are w(0,-3), X(3,0), Y(7,0) and Z(10,-3).
What is trapezoid?
In mathematics, a quadrilateral with at least one set of parallel edges is referred to as a trapezoid in American and Canadian English, or a trapezium in British and other types of English. In Euclidean mathematics, a trapezoid is a convex parallelogram by definition. The bases of the trapezoid are the horizontal edges.
Given,
W(0,5) X(3,8) Y(7,8) and Z(10,5)
If A(x,y), after being translated left c units, then A(x,y) is written as A(x,y-c)
Then the new coordinates of the vertices are written as-
W(0,5) after being translated left 8 units written as w(0,-3)
X(3,8) after being translated left 8 units written as X(3,0)
Y(7,8) after being translated left 8 units written as Y(7,0)
Z(10,5) after being translated left 8 units written as Z(10,-3)
Hence the new coordinates of the vertices are w(0,-3), X(3,0), Y(7,0) and Z(10,-3)
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Use an associative law to find an expression equivalent to
s + (r + 75)
As you can see below, both expressions result in the same value of 105. This demonstrates the application of the associative law in regrouping terms and maintaining the equivalence of the expression.
The associative law in mathematics states that the grouping of numbers in an addition or multiplication operation does not affect the result. In other words, you can regroup terms within parentheses without changing the value of the expression.
Using the associative law, we can regroup the terms in the expression s + (r + 75) by removing the parentheses and rearranging the terms:
s + (r + 75) = (s + r) + 75
The expression (s + r) + 75 is equivalent to s + (r + 75) because the addition operation is associative.
Let's take an example to illustrate this:
Suppose s = 10 and r = 20.
Using the original expression:
s + (r + 75) = 10 + (20 + 75) = 10 + 95 = 105
Using the expression with regrouped terms:
(s + r) + 75 = (10 + 20) + 75 = 30 + 75 = 105
As you can see, both expressions result in the same value of 105. This demonstrates the application of the associative law in regrouping terms and maintaining the equivalence of the expression.
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Did you hear the story about the piece of butter?
Answer:
I believe once it saw the cast iron skillet's beauty, it melted.
Step-by-step explanation:
No clue just that was the first thing in me mind.
please help answer this question
this is to set up my account and i no idea!
The cost of manufacturing a single DVD is represented by: C(x) = 0.35x+ 1.75. What is the cost of manufacturing 12 DVDs?
Answer:
£5.95
Step-by-step explanation:
To find the cost of 12 DVDs, let x = 12
C(12) = 0.35 x 12 + 1.75
C(12) = 4.2 + 1.75
C(12) = 5.95
The cost of manufacturing 12 DVDs is $5.95.
What is the function?Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.
Given that, the cost of manufacturing a single DVD is represented by C(x) = 0.35x+ 1.75.
When, x=12
C(12)=0.35×12+1.75
C(12)=5.95
Therefore, the cost of manufacturing 12 DVDs is $5.95.
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pls help. .............
Answer:
(4,2.5)
Step-by-step explanation:
I have no idea what to do
Answer:
the second is correct
Step-by-step explanation:
choose as brainliest
(Time limit)
Tell me the domain
Tell me the range
Tell me whether the graph is a function or not
The answer choices are below
A relation represents a function when each input value is mapped to a single output value.
On a graph, a function is represented if the graph contains no vertical aligned points, that is, if there are no values of x at which we could trace a vertical line that would cross the graph of the function more than once.
Tracing a vertical line for any x > -3, the vertical line would cross the graph at two points, meaning that the relation is not a function.
As for the domain and the range, we have that:
The domain is: x ≥ -3 -> values of x on the graph.The range is: all real numbers -> values of y on the graph.More can be learned about relations and functions at brainly.com/question/10283950
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3 sets of data with same median but different mean
The 3 sets of data with the same median but different mean are given as follows:
Data-set 1: 1, 1, 3, 5, 5.Data-set 2: 1, 2, 3, 5, 6.Data-set 3: 2, 2, 3, 6, 6.How to calculate mean and median?The mean of a data-set is calculated as the sum of all values in the data-set divided by the number of values in the data-set.
The median of a data-set is the middle value of the data-set, the value which 50% of the data-set is less than and 50% of the data-set is more than.
Hence, for a data-set of five elements, which is an odd cardinality, the median is the third element of the ordered data-set.
Then the three data-sets can be constructed with five elements, in which the third element is the same but the sum of the five elements is different.
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Given the two functions, which statement is true? f(x) = 3x, g(x) = 3x + 5 Question 12 options: g(x) is translated up 5 units compared to f(x) g(x) is translated left 5 units compared to f(x) g(x) is translated down 5 units compared to f(x) g(x) is translated right 5 units compared to f(x)
The correct statement is: g(x) is translated up 5 units compared to f(x).
The correct answer is A.
To determine the translation between the two functions, we can observe that the only difference between them is the constant term.In f(x) = 3x, there is no constant term, so the graph of f(x) passes through the origin (0, 0).In g(x) = 3x + 5, there is a constant term of 5 added to the function. This means that the graph of g(x) is shifted vertically upward by 5 units compared to the graph of f(x).Therefore, g(x) is translated up 5 units compared to f(x).The correct answer is A.
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qualities?
x + 4y > 12
3y > x + 6
The solution to the given system of inequality is (-12, 6).
System of equationsThese are equations that contains unknown variables.
Given the equations
x + 4y > 12
3y > x + 6
__________
x + 4y > 12
3y - x > 6
Subtract
4y - 3y > 12 - 6
y > 6
Substitute y = 6 into the equation
x + 4y >12
x + 4(6) > 12
x > -12
Hence the solution to the given system of inequality is (-12, 6)
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Let's roll two dice and find the probability of rolling a certain sum. Is this a simple or compound event?
Two dice - Red and Blue
Recall that a simple event has one and only one outcome of interest. In this example, we are rolling two dice, but we are only interested in one outcome, the sum of the two dice. This is a simple event.
What is the probability of:
Rolling a sum of 1?
Rolling a sum of 3?
Rolling a sum of 12?
Rolling a sum of 7?
Since we are rolling a pair of dice and looking for the sum, the sample space is a little more complicated than rolling one die. The chart below will help us determine the possible outcomes. The top row indicates the numbers on the sides of the blue die and the first column represents the number on the sides of the red die. The white area indicates the sum of the numbers in the row and column.
# Rolled 1 2 3 4 5 6
1 1+1=2
1
+
1
=
2
1+2=3
1
+
2
=
3
1+3=4
1
+
3
=
4
1+4=5
1
+
4
=
5
1+5=6
1
+
5
=
6
1+6=7
1
+
6
=
7
2 2+1=3
2
+
1
=
3
2+2=4
2
+
2
=
4
2+3=5
2
+
3
=
5
2+4=6
2
+
4
=
6
2+5=7
2
+
5
=
7
2+6=8
2
+
6
=
8
3 3+1=4
3
+
1
=
4
3+2=5
3
+
2
=
5
3+3=6
3
+
3
=
6
3+4=7
3
+
4
=
7
3+5=8
3
+
5
=
8
3+6=9
3
+
6
=
9
4 4+1=5
4
+
1
=
5
4+2=6
4
+
2
=
6
4+3=7
4
+
3
=
7
4+4=8
4
+
4
=
8
4+5=9
4
+
5
=
9
4+6=10
4
+
6
=
10
5 5+1=6
5
+
1
=
6
5+2=7
5
+
2
=
7
5+3=8
5
+
3
=
8
5+4=9
5
+
4
=
9
5+5=10
5
+
5
=
10
5+6=11
5
+
6
=
11
6 6+1=7
6
+
1
=
7
6+2=8
6
+
2
=
8
6+3=9
6
+
3
=
9
6+4=10
6
+
4
=
10
6+5=11
6
+
5
=
11
6+6=12
6
+
6
=
12
How many outcomes are in the sample space? Answer
Answer:
the answer to your question how many outcomes is really gonn adepend on you you slove you problem but my amswer is gonna be 7.
Answer the questions about the following polynomial.-10 – 23polynomial withterms. The constantand the leading coefficient isThe expression represents aterm isthe leadingquadraticlinearcubicquinticSubmit Answerquarticattempt 1 out of 2n
The given expression is:
\(-10-x^3\)This expression represents a cubic polynomial with two terms.
The constant term is -10
The leading coefficient is -1
Othniel used 2/5 of a full tank of petrol to travel to Kumasi and 2/6 of the full tank of petrol to travel to Accra. Which journey required more petrol?
Othniel used 2/5 of a full tank of petrol to travel to Kumasi and 2/6 of the full tank of petrol to travel to Accra. Therefore, the journey to Kumasi required more petrol by simplifying the fractions.
To compare the amount of petrol used for the journeys to Kumasi and Accra, we'll calculate the fractions of the full tank of petrol used for each journey.
Let's assume that the full tank of petrol has a capacity of 1 unit.
Othniel used 2/5 of the full tank of petrol to travel to Kumasi.
The fraction of the full tank of petrol used for the journey to Kumasi is 2/5, which is equivalent to 0.4.
Othniel used 2/6 of the full tank of petrol to travel to Accra.
To compare the fractions accurately, we need to make the denominators equal. Since the least common multiple (LCM) of 5 and 6 is 30, we'll convert the fractions to have a denominator of 30.
Converting the fraction 2/5 to have a denominator of 30:
(2/5) * (6/6) = 12/30
Converting the fraction 2/6 to have a denominator of 30:
(2/6) * (5/5) = 10/30.
Comparing the fractions, we find that Othniel used 12/30 of the full tank of petrol to travel to Kumasi and 10/30 of the full tank of petrol to travel to Accra.
Since 12/30 is greater than 10/30, the journey to Kumasi required more petrol.
Simplifying the fractions, we have:
Journey to Kumasi: 12/30 = 2/5.
Journey to Accra: 10/30 = 1/3.
Therefore, the journey to Kumasi required more petrol than the journey to Accra.
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Samantha can ride her bicycle 4 miles in 20 minutes. At this same speed, how far can she ride her bike in an hour and a half?
Answer:
18
Step-by-step explanation:
4 miles in 20 mins = 1/5 mile in 1 min
1 1/2 hours = 90 mins
1/5*90=18
Answer:
18 miles
Step-by-step explanation:
if Samantha can ride her bicycle 4 miles in 20 minutes, that means every 5 minutes she rides for a mile.
20 / 4 = 5
Using that info, we can solve this.
1 hr & 30 min = 90 min
90 / 5 = 18 miles
Which of the following is not a valid triangle congruence theorem?
rules for subtracting integers with the same sign
Answer:
To subtract integers, change the sign on the integer that is to be subtracted. If both signs are positive, the answer will be positive. If both signs are negative, the answer will be negative.
Please explain your answer to the question in the picture with steps.
A hot object being made colder is heat transfer
O True
O False
Find the inversion point of the given point (4, 5) with respect to the circle x² + y² - 4x - 6y - 3 = 0. Also, show in the graph.
The inversion point of (4, 5) with respect to the circle x² + y² - 4x - 6y - 3 = 0 is (6, 7).
Finding the inversion pointTo find the inversion point of the given point (4, 5) with respect to the circle x² + y² - 4x - 6y - 3 = 0, we need to follow these steps:
Step 1: Write the equation of the given circle in standard form by completing the square for x and y: (x - 2)² + (y - 3)² = 16.
Step 2: Find the radius of the circle by taking the square root of the constant term: r = √16 = 4.
Step 3: Find the distance between the given point (4, 5) and the center of the circle (2, 3) using the distance formula: d = √[(4 - 2)² + (5 - 3)²] = √8.
Step 4: Use the formula for inversion point to find the coordinates of the inversion point (x', y'): (x', y') = (h + r²/d² * (x - h), k + r²/d² * (y - k)), where (h, k) is the center of the circle and r is the radius.
Plugging in the values, we get: (x', y') = (2 + 4²/8 * (4 - 2), 3 + 4²/8 * (5 - 3)) = (6, 7).
Therefore, the inversion point of the given point (4, 5) with respect to the circle x² + y² - 4x - 6y - 3 = 0 is (6, 7).
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Which of the binomials below is a factor if this trinomial?
x^2 - 3x - 4
A. x + 4
B. x + 8
C. x^2 + 4
D. x - 4
Answer:
D. x - 4
Step-by-step explanation:
x² - 3x - 4 = ( x - 4 )( x + 1 )
main formula: x² + ( a + b )x + ab = ( x + a )( x + b )
You earn $15 every week .at this rate , how much will you earn in 5 weeks
Answer:
If you earn $15 every week then you will have earned $75 by the end of 5 weeks.
Step-by-step explanation:
If $15 is 1 week,
and you need to find how much money after 5 weeks,
you multiply by the same number on both sides
1 = 15
1*5 = 15*5
5 = 75
So after 5 weeks you get $75
When using the scanning objective (4X), how long would the entire ocular micrometer ruler be in millimeters?2.5 mm
The entire ocular micrometer ruler be in millimeters 2.3mm
Determine the size of an object/cell? Once the field of view is calculated for your microscope, you will be able determine the size of the objects that you are looking at.You will need to count (or estimate) how many cells will fit across the diameter of the field of view.To get the average size of one cell, you will divide the field of view by the number of cells that would fit across the diameterTo convert the diameter from millimeters to micrometers, multiply the diameter by 1000For the scanning objective (4X),
the objective is the scanning power, The, power is 4X and the Diameter in mm is 2.3mm
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