The equation of the line in the graph passing through the points (-2,1) and (6,7) is [tex]y = \frac{3}{4}x + \frac{5}{2}[/tex].
What is the equation of the line?The slope-intercept form is expressed as;
y = mx + b
Where m is slope and b is the y-intercept.
From the graph, the line passes through point (-2,1) and (6,7).
First, we determine the slope:
[tex]m = \frac{y_2 - y_1}{x_2 - x_1} \\\\m = \frac{7 - 1}{6-(-2)} \\\\m = \frac{6}{6+ 2} \\\\m = \frac{6}{8} \\\\m = \frac{3}{4}[/tex]
Now, plug the slope m = 3/4 and point (-2,1) into the point-slope form:
( y - y₁ ) = m( x - x₁ )
[tex]y - 1 = \frac{3}{4}(x - (-2)) \\\\y - 1 = \frac{3}{4}(x + 2)\\\\y - 1 = \frac{3}{4}x + \frac{3}{2} \\\\y = \frac{3}{4}x + \frac{3}{2} + 1\\\\y = \frac{3}{4}x + \frac{5}{2}[/tex]
Therefore, the euation of the line is [tex]y = \frac{3}{4}x + \frac{5}{2}[/tex].
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Look at the map showing the European Union (EU) and countries with which it has free-trade agreements (FTAs). The pending agreements are
concentrated in North America
concentrated in Southeastern Asia
mostly located in South Africa
spread across several continents
Answer:
The North American Free Trade Agreement (NAFTA) among the United States, Canada and Mexico went into effect on January 1, 1994. It is the first trade agreement the United States has entered into with a geographically-close developing country and has raised concerns about its economic effect, particularly on U.S. communities and workers. Since the mid-1980s, when Mexico began reducing trade restrictions, the U.S. and Mexican economies have become more highly integrated. This is evidenced by the rapid growth in U.S. merchandise trade with Mexico, which is now 12% of all U.S. trade
Step-by-step explanation:
Will Give Brainliest Please Help!
Answer:
Corresponding angles is the answer to your question
the radius of a circle is 8cm. find its area to he nearest whole number
Answer:
Area of circle = pi×r²
Where, pi =22/7 or 3.142
r = 8cm
Area =22/7 × 8²
=201.142
Approximately 201 to the nearest whole number
You're welcome
Probability
See picture attached
Answer:
The answer is down below
Step-by-step explanation:
G={2,3,4}
W={1,5}
Total cards=1,2,3,4,5
let P(x) be G
Probability of X=G/Total
P(x)=3/5
P(not x)=2/5
X={2,3,4}
not X={1,5}
Question 3 of 10
Which expressions are equivalent to the one below? Check all that apply.
25.2x
The expressions that are equivalent to the one below is [tex]2 ^{(5+x) }[/tex], option C.
How can the expression be known?Based on the definition of power multiplication properties, The Product of Powers Property serves as one that stressed that in a cae wehereby we are multiplying two exponents with the same base, then the exponents can be multiplied and keep the base.
It shoud be noted that when want to simplify the expressions [tex]2x^4[/tex]by [tex]6x2[/tex] , the base wil will be kept whereby we add the exponent.
The given expression is [tex]2^5.2^x[/tex], which can be simplified as;
= [tex]2^5.2^x[/tex]
=[tex]2 ^{(5+x) }[/tex]
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will give brainless :D
The additional reason will be JK/PQ = KL/QR.
Option C is correct.
Given that are two triangles, ΔJKL and ΔPQR, where ∠K ≅ ∠Q, we need to determine a reason to show ΔJKL and ΔPQR are similar,
So, we know that the similar triangles have congruent corresponding angles and corresponding sides are in equal ratio,
So, from the options if we take JK/PQ = KL/QR we can prove that the triangles are similar by SAS rule.
Hence the option C is correct.
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Find the probability of drawing
the desired marbles.
1 Orange
and
1 Blue
No Replacement
What's the probability of
drawing an orange marble?
[?] 1
10
X
금
The probability of drawing an orange marble and a blue marble without replacement is:P(Orange and Blue without replacement) = (3/10) * ((N - 4) / (N - 1))
The probability of drawing an orange marble and a blue marble without replacement, we need to consider the total number of marbles and the number of desired outcomes.
Let's assume we have a bag of marbles containing both orange and blue marbles. The total number of marbles in the bag is not given, so we'll consider it as an unknown value, denoted as N.
First, we need to calculate the probability of drawing an orange marble on the first draw. Since there is no replacement, the probability of drawing an orange marble on the first draw is given by the ratio of the number of orange marbles to the total number of marbles:
P(Orange on first draw) = Number of orange marbles / Total number of marbles
Next, after the first marble is drawn, the bag will contain one less marble, and the number of orange marbles and blue marbles will change accordingly. Assuming we drew an orange marble on the first draw, the number of orange marbles will decrease by 1, and the total number of marbles will decrease by 1.
Now, we need to calculate the probability of drawing a blue marble on the second draw, given that an orange marble was drawn on the first draw. The probability is calculated as:
P(Blue on second draw | Orange on first draw) = Number of blue marbles / Total number of marbles after the first draw
Since there is no replacement, the total number of marbles after the first draw is N - 1.
Finally, to find the probability of drawing an orange marble and a blue marble without replacement, we multiply the probabilities of the two events:
P(Orange and Blue without replacement) = P(Orange on first draw) * P(Blue on second draw | Orange on first draw)
To simplify the calculation, we can substitute the given values:
P(Orange on first draw) = 3/10 (assuming there are 3 orange marbles out of 10 marbles in total)
P(Blue on second draw | Orange on first draw) = (N - 4) / (N - 1) (assuming there are N - 4 blue marbles left in the bag after drawing an orange marble)
Therefore, the probability of drawing an orange marble and a blue marble without replacement is:
P(Orange and Blue without replacement) = (3/10) * ((N - 4) / (N - 1))
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Research shows that 14.3% of persons 20–25 years old vote and 59.9% of persons 60–65 years old vote. What is the absolute increase from the younger group to the older group, to the nearest point?
76 points
319 points
-46 points
46 points
The absolute increase from the younger group to the older group is 59.9% - 14.3% = 45.6%. Rounding to the nearest point, the answer is 46 points.
The absolute increase is the difference between two values, regardless of the direction of change. In this case, we want to find the absolute increase in the percentage of people who vote from the younger group (20-25 years old) to the older group (60-65 years old).
To find the absolute increase, we subtract the percentage of people who vote in the younger group from the percentage of people who vote in the older group, taking the absolute value of the result.
So, the absolute increase in the percentage of people who vote from the younger group to the older group is:
|59.9% - 14.3%| = 45.6%
This means that the percentage of people who vote in the older group is 46 percentage points higher than the percentage of people who vote in the younger group.
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Graph the line with slope -1 passing through the point (-4,-5) .
The equation of line is y = -x - 9 which passes through the point Z(-4,-5)
Given data ,
To graph the line with a slope of -1 passing through the point (-4, -5), we can use the point-slope form of a linear equation:
Now , the value of A is
Let the line passes through the point P ( -4 , -5 )
The slope which is the rate of change is is m=-1
y-y₁ = m(x-x₁)
On simplifying , we get
y-(-5) = (-1)(x+4)
Expanding the brackets:
y + 5 = -x - 4
y = -x - 9
Now we have the equation in slope-intercept form. To graph the line, we can plot the given point (-4, -5) and use the slope to find additional points.
Hence , the equation of line is y = -x + 1
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Please help I’m confused
If 0 < θ < [tex]360^0[/tex] and sin θ = 0.3097, then θ is approximately [tex]24^0[/tex].
Trigonometric problemIn order to find the value of θ given sin(θ) = 0.3907, we can use the inverse sine function, also known as arcsine or [tex]sin^{(-1)[/tex].
Using a scientific calculator or trigonometric tables, we can find the inverse sine of 0.3907:
θ= sin^(-1)(0.3907)
θ ≈ 23.576 degrees
Since 0 < θ < 360 degrees, we can conclude that θ is approximately 24 degrees.
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Given ⊙ N, what is mAB?
Answer: the answer of mab is 72 degrees.
Answer:
146°
Step-by-step explanation:
The measure of an inscribed angle is half the measure of its intercepted arc.
73° = (1/2)m(arc)AB
Multiply both sides by 2.
2 × 73° = 2 × (1/2) × m(arc)AB
m(arc)AB = 146°
The expression P(z<2.04) represents the area under the standard normal curve below the given value of z. What is the value of P(z<2.04)?
P(z<2.04) is approximately 0.9793 or 97.93% (rounded to two decimal places).
We can use a table or a calculator that offers the cumulative distribution function (CDF) of the standard normal distribution to determine the area under the standard normal curve below a specified value of z.
The chance that a standard normal random variable is less than or equal to a specified value is provided by the CDF.
In this case, we want to find the value of P(z<2.04), which represents the probability that a standard normal random variable is less than 2.04. Using a table or a calculator, we can look up the value of the CDF at z = 2.04, which is approximately 0.9793.
Therefore, we can say that the value of P(z<2.04) is approximately 0.9793, or about 97.93% (rounded to two decimal places).
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Simplify each side of 4a+ 5a-2=5+3-1
Answer:
9a-2=7
Step-by-step explanation:
4a+ 5a-2=5+3-1
To simplify each side, combine like terms.
4a+5a = 9a
5+3-1 = 7
The equation becomes:
9a-2=7
wich value is a solutom.or A- 2--0.5x47
The value of the expression "A- 2--0.5x47" is 25.5.
Using the order of operations (PEMDAS) we first simplify the multiplication before subtracting from 2:
2 - (-0.5 x 47)
= 2 - (-23.5)
When subtracting a negative number, we can think of it as adding the positive value. Therefore, we can rewrite the expression as:
2 + 23.5
= 25.5
Therefore, the value of the expression "A- 2--0.5x47" is 25.5.
In conclusion, to determine whether a given value is a solution to an equation, we need to know what the equation is. However, given an expression, we can simplify it and then substitute a value for the variable to determine whether it is a solution.
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Question
which value is a solution A- 2-( -0.5x47)
2 4/5 yards x 2 yards x 3/5 yards =
The product of [tex]2\frac{4}{5}[/tex] yards, 2 yards, and [tex]\frac{3}{5}[/tex] yards comes out to be [tex]16\frac{4}{5}[/tex] yards.
Firstly we have to convert the mixed fraction into the improper fraction.
1. We multiply the denominator and the whole number
2. To the product add the numerator to get the numerator of the fraction
3. The denominator remains the same.
[tex]2\frac{4}{5}[/tex] = 2 * 5 + 4 / 5 = 14/5
To multiply the fractions:
1. We multiply the numerators to get the numerator
2. Similarly the product of the denominator is the denominator
3. We simplify the resultant fraction
= 14/5 * 2 * 3/5 = 84/5
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what is this i dont know what to write about
Answer: Trust me I don't know either
Step-by-step explanation:
For asking questions about whatever in life I guess
please solve with proof
Answer:
BC is 32 cm
Step-by-step explanation:
The management of a company ordered a study to determine the distribution of hamburgers purchased by the company that could be contaminated with Salmonella in a batch of hamburgers. According to the study, 25% of the hamburgers were contaminated. If a random sample of 10 hamburgers is chosen to be tested, what is the probability that at least six hamburgers are contaminated?
The probability that at least six hamburgers are contaminated in a random sample of 10 hamburgers is approximately 0.2 or 20%
We can approach this problem using the binomial distribution, where:
n = 10 (the sample size)
p = 0.25 (the probability of a hamburger being contaminated)
q = 1 - p = 0.75 (the probability of a hamburger not being contaminated)
We want to find the probability that at least six hamburgers are contaminated, which can be expressed as:
P(X ≥ 6) = P(X = 6) + P(X = 7) + ... + P(X = 10)
where X is the number of contaminated hamburgers in the sample.
Using the binomial probability formula, we can calculate each individual probability:
P(X = b) = (n choose b) x pᵇ x q⁽ⁿ⁻ᵇ⁾
where (n choose k) represents the number of ways to choose k items from a set of n items, and is calculated as:
(n choose k) = n! / (k! x (n-k)!)
Using a calculator or software, we can find each individual probability and sum them up to get the total probability:
P(X ≥ 6) = P(X = 6) + P(X = 7) + P(X = 8) + P(X = 9) + P(X = 10)
= (10 choose 6) x 0.25⁶ x 0.75⁴ + (10 choose 7) x 0.25⁷ x 0.75³ + (10 choose 8) x 0.25⁸ x 0.75² + (10 choose 9) x 0.25⁹ x 0.75¹ + (10 choose 10) x 0.25¹⁰ x 0.75⁰
= 0.0197
= 0.02
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In a group of 1,100 youths, each uses smart phones, either I-phone or Samsung or both or neither, 150 of them use only I-phone, 770 of them use Samsung and 900 use only one of these two smart phones. (1) Find the number of youths who use both of these smart phones. (ii) Find the number of youths who use neither of these smart phones.
The requried, 20 youths use both iPhone and Samsung, and 200 youths use neither iPhone nor Samsung.
Let A be the set of youths using only iPhones, B be the set of youths using only Samsung, and C be the set of youths using both. Then, we have:
|A| = 150
|B| = 770
|A ∪ B| = 900
We want to find |C| and |A ∩ B| (which is the number of youths using both).
Using the inclusion-exclusion principle, we have:
|A ∪ B| = |A| + |B| - |A ∩ B|
900 = 150 + 770 - |A ∩ B|
|A ∩ B| = 20
So, 20 youths use both iPhone and Samsung.
To find the number of youths who use neither, we can use the fact that:
|A ∪ B ∪ C| = 1100
|A ∪ B ∪ C| = |A| + |B| + |C| - |A ∩ B| - |A ∩ C| - |B ∩ C| + |A ∩ B ∩ C|
Plugging in the values we know, we get:
1100 = 150 + 770 + |C| - 20 - |A ∩ C| - |B ∩ C| + |A ∩ B ∩ C|
|C| - |A ∩ C| - |B ∩ C| + |A ∩ B ∩ C| = 200
Since the number of youths using both is 20, we have:
|A ∩ C| = |B ∩ C| = |A ∩ B ∩ C| = 0
So, we can simplify the equation to:
|C| = 200
Therefore, 200 youths use neither iPhone nor Samsung.
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coefficient of a^2 b^2 in the expansion (2a-b)^4
The coefficient of a²b² in the expansion of (2a - b)⁴ is 24
How to determine the coefficient of a²b² in the expansionFrom the question, we have the following parameters that can be used in our computation:
(2a - b)⁴
When the expression is expanded, we have
(2a-b)⁴ = (2a-b)(2a-b)(2a-b)(2a-b)
So, we have
(2a-b)⁴ = 16a⁴ - 32a³b + 24a²b² - 8ab³ +b⁴
Consider an expression ax where the variable is x
The coefficient of the variable in the expression is a
Using the above as a guide, we have the following:
The coefficient of a²b² in the expansion is 24
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Please help asap I need to turn this in RIGHT NOW
The requried domain and range of the given graph are a set of all real values i.e. (-∞, ∞).
Consider the given figure,
The domain is said to be the values of the set of dependent variables, in the given case the value on the x-axis, represents the domain.
The domain is given as all real value i.e. (-∞, ∞)
Similarly, the range is represented by the y-axis and given as (-∞, ∞).
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Please help asap !!!! I will give 10 points !!! Thank you
The exponential equation of log(x+4) (x²+3x-7) =3 is x²+3x-7 = (x+4)³
What is exponential equation?Exponential equations are equations in which variables occur as exponents. For example, exponential equations are in the form a^x=b^y.
To solve exponential equations with same base, use the property of equality of exponential functions .
The law of logarithm states;
If loga b = x
b = a^x
Using the rule;
log(x+4) (x²+3x-7) = 3
x²+3x-7 = (x+4)³
therefore the exponential equation of log(x+4) (x²+3x-7) = 3 is x²+3x-7 = (x+4)³
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The number of students, S, serviced by the school system in the town of Emor,
t years from 2000can be modeled by the function S(t)=10,000(1.1)^t
The number of classrooms, C, in the town of Emor, t years from 2000 can be modeled by the function C(t)=450+40t, Let
D be the average number of students per classroom in Emor's school system
t years from 2000
Write a formula for
D(t)D in terms of: S(t)S, C(t)
Also, Write a formula for
D(t)D, in terms of t
The required expression is 10000x[tex](1.1)^{t}[/tex]/(45 + 4t).
The expression representing the number of students serviced by the school system in the town of Emor, t years from 2000 is:
s(t) = 10000x[tex](1.1)^{t}[/tex]
And the expression representing the number of classrooms in the town of Emor, t years from 2000 is:
C(t) = 450 + 4t
The expression D (t) represents the average number of students per classroom in Emor's school system t years from 2000.
Then the average number of students per classroom can be computed by:
Average number of students/classroom = Number of students/Number of classrooms
D(t) = s(t)/c(t)
= 10000x[tex](1.1)^{t}[/tex]/(45 + 4t)
Thus,
The formula = 10000x[tex](1.1)^{t}[/tex]/(45 + 4t).
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please help easy, area and perimeter related
The amount of paint needed to cover the walls of a room, you can use the area of the walls to estimate the amount of paint required.
The area of a two-dimensional shape is the amount of space inside its boundaries, while the perimeter is the length of its outer edge.
These concepts are often related, as the perimeter of a shape can be used to calculate its area.
For example, consider a square with sides of length 5cm.
The perimeter of the square would be 4 x 5cm = 20cm, while the area would be 5cm x 5cm = 25cm².
We can see that the area is greater than the perimeter, as there is more space inside the square than around its edges.
Another way that area and perimeter can be related is through similar shapes. Similar shapes have the same shape, but different sizes.
For example, a small square and a large square are similar shapes, but the large square has longer sides and therefore a larger area and perimeter.
The ratio of the areas of two similar shapes is equal to the square of the ratio of their corresponding side lengths.
Similarly, the ratio of their perimeters is equal to the ratio of their corresponding side lengths.
Understanding the relationship between area and perimeter can be helpful in a variety of situations.
For example, if you need to calculate the amount of fencing needed to enclose a rectangular garden, you can use the perimeter of the garden to determine the length of the fencing required.
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HELP (question in image)
Answer:
C) F(n) = 10n-1
Step-by-step explanation:
C) F(n) = 10n-1
Try a few points
F(n) = 10n-1
= 10(20) - 1
= 200-1
= 199 >>> which matches the table
F(n) = 10n-1
= 10(5) - 1
= 50-1
= 49 >>> which matches the table
F(n) = 10n-1
= 10(1) - 1
= 10-1
= 9 >>> which matches the table
help me asap 30 points on the line here must be the real awnser!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
C. 18/48 and 21/56
Step-by-step explanation:
You want to identify pairs of ratios that are proportional.
ProportionalRatios are proportional when they have the same value. We can check whether the values are the same by reducing each ratio to lowest terms.
The attached calculator display shows the proportional ratios are ...
18/48 and 21/56 . . . . choice C
__
Additional comment
Both of these reduce to 3/8. You can remove a factor of 6 from the numbers of the first ratio, and a factor of 7 from the numbers of the second ratio to reduce both of them to 3/8.
<95141404393>
Answer: C. 18/48 and 21/56
Step-by-step explanation: Hope it helps
If the wheel of a bicycle covers 308m distance in one complete rotation,what is the diameter of the wheel?
Step-by-step explanation:
One complete revolution is one circumference
circumference of a circle is found using the formula circumf = pi * d
so 308 m = pi * d or
308 m / pi = diameter = 98 m (a VERY large bicycle wheel!)
Peter's restaurant is bringing in money from customers, and he needs to know how much he needs to pay off the bill for the electricity to run the place. To turn the electricity on, he has to pay $25. For every hour that the electricity is on, he has to pay $4. How many hours can he have the electricity on for if she makes a $49 profit?
Please answer with step-by-step instructions. Thank you.
Peter can have the electricity on for 18.5 hours if he wants to make a $49 profit.
We have,
Let's start by setting up an equation to represent the situation:
Profit = Revenue - Cost
We know that Peter's profit is $49, and we can find the revenue by multiplying the number of hours by the hourly rate:
Revenue = Hourly rate x Number of hours
The hourly rate is $4, and the cost includes the initial fee of $25 plus the hourly cost:
Cost = Initial fee + Hourly rate x Number of hours
Now we can substitute these equations into the profit equation and solve for the number of hours:
$49 = ($4 x Number of hours) - ($25 + $4 x Number of hours)
$49 = $4 x Number of hours - $25 - $4 x Number of hours
$49 + $25 = $4 x Number of hours - $4 x Number of hours
$74 = $4 x Number of hours
Number of hours = $74 / $4
Number of hours = 18.5
Thus,
Peter can have the electricity on for 18.5 hours if he wants to make a $49 profit.
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Use a graphing calculator or other technology to solve this problem. x y 0 6 1 8.5 2 12 3 14.9 4 18 Which linear regression model best fits the data in the table? Responses y=5.8x−3.04 y equals 5.8 x minus 3.04 y=3.04x+5.8 y equals 3.04 x plus 5.8 y=−5.8x+3.04 y equals negative 5.8 x plus 3.04 y=−3.04x−5.8
The linear regression equation that best fits the data is y = 3.04x + 5.8.
Using a graphing calculator, we can plot the data points and find the linear regression model that best fits the data.
The linear regression equation that best fits the data is
y = 3.04x + 5.8.
Therefore, the answer is: y=3.04x+5.8.
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María del Carmen colecciona cremos de animales tiene más de 30 y menos de 50 los quiere organizar en un álbum de manera que en cada página
From the calculation and based on the Least common multiples, , we can tell that Maria del Carmen has a total of 36 stickers
How is this so?The least common multiple is of a set of numbers is the least multiple that they have in common and is obtained by decomposing each number into prime factors and taking common and uncommon factors with their greatest exponent.
Then we break down each number to know how much is the minimum that Maria del Carmen has:
2 = 2
4 = 2*2 = 2²
6 = 2*3
9 = 3*3 = 3²
12 = 2*2*3 = 2²*3
18 = 2*3*3 = 2*3²
LCM = 2²*3² = 4*9 = 36
Now this number is between 30 and 50: so Maria del Carmen has 36 stickers
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Full Qustion:
Maria del carmen colecciona cromos de animales;tiene mas de 30 y menos de 50.los quiere organizar en un album de manera q en cada pagina guarde el mismo numero de cromos.si puede ubicar 2,4,6,9,12 o 18 cromos en cada pagina ¿cuantos cromos tiene maria del carmen?
Translation:
Maria del Carmen collects animal stickers; she has more than 30 and less than 50. She wants to organize them in an album so that on each page she keeps the same number of stickers. If she can locate 2,4,6,9,12 or 18 Stickers on each page. How many stickers does Maria del Carmen have?