The equation that represents the linear relationship in the table is D. y = 4x + 1.
Which equation represents the table of values?To find the equation that represents the linear relationship in the table, we need to determine the slope and y-intercept of the line that passes through the given points.
We can use the formula for the slope of a line, which is:
m = (y2 - y1)/(x2 - x1)
where (x1, y1) and (x2, y2) are the coordinates of two points on the line.
Using the first two points from the table, we get:
m = (1 - (-3))/(0 - (-1)) = 4/1 = 4
So, the slope of the line is 4.
To find the y-intercept, we can use the point-slope form of the equation of a line, which is:
y - y1 = m(x - x1)
Using the point (0, 1) and the slope m = 4, we get:
y - 1 = 4(x - 0)
y = 4x + 1
So, the equation is D. y = 4x + 1.
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Determine if the events are mutually exclusive. Select a class: It is a statistics class and it is an aerobics class. Mutually exclusive Not mutually exclusive
The two events in this problem are mutually exclusive events.
What are mutually exclusive events?Two events are defined as mutually exclusive events if they do not occur at the same time. One example is the toss of a coin, which is either heads or tails, but cannot be both at the same time.
Aerobics are not a field of statistic, meaning that only one of the two classes can be chosen, hence the two events in this problem are mutually exclusive events.
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PLEASE HELP!!! I WILL MARK BRAINLY AND ITS WORTH 15 POINTS!!!
its 10 points
c and d cause each Px = 4 for c and 10 for d.
Suppose the vector Xt characterizing the antigenic state of an influenza virus population changes from one season to the next according to the equation Xt + 1 = 2 3 0 0.9 If the vector in the current season is 6
0.9 what was the vector in the previous influenza season?
The vector changes from one season to the next, indicating that the virus is evolving and adapting to new environmental conditions. Therefore, the vector in the previous influenza season was 669.0.
To find the vector characterizing the antigenic state of the influenza virus population in the previous season, we'll use the given equation:
Xt + 1 = 2 3 0 0.9
First, let's rewrite the equation in a clearer format:
Xt + 1 = [2, 3, 0, 0.9]
The given vector for the current season is:
Xt + 1 = [6, 0.9]
To find the vector for the previous season (Xt), we need to reverse the equation:
Xt = Xt + 1 - [2, 3, 0, 0.9]
Now, subtract the [2, 3, 0, 0.9] vector from the current season vector [6, 0.9]:
Xt = [6 - 2, 0.9 - 3, 0 - 0, 0.9 - 0.9]
Xt = [4, -2.1, 0, 0]
So, the vector characterizing the antigenic state of the influenza virus population in the previous season is [4, -2.1, 0, 0].
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Only do question 8
50 points
Topic: Percentage
Answer:
see below
Step-by-step explanation:
Answer:
...
Step-by-step explanation:
A house plan has concrete stairs leading down into the garage. How much concrete is needed to make the stairs? 3 ft 2 ft 8 ft 5 ft [? ] ft ³ 2 ft 8 ft 1 ft
The amount of concrete needed to make the stairs that leads to the garage is 64 cubic feet
Calculating the amount of concrete needed to make the stairs?The missing information is added as an attachment
The concrete needed to make the stairs is the volume of the stairs and this is calculated using
Volume = Base area * Height
Where
Base area = 3 * 2 + 2 * 1
Base area = 8
And
Height = 8
So, we have
Volume = 8 * 8
Evaluate
Volume = 64
Hence, the amount needed is 64 cubic feet
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Help please I need this now
Answer:
what is the question i cat help without the question
Step-by-step explanation:
Answer:
The answer for this is 850 dollars
Step-by-step explanation:
Since D stand for 50
You would do 50 X 17
Resulting in 850 dollars
Evaluate the indefinite integral. Use a capital "C" for any constant term
∫( 4e^x – 2x^5+ 3/x^5-2) dx )
we add up all the integrals and the respective constant terms to obtain the complete solution: 4e^x + (1/3)x^6 - 3/(4x^4) + 2x + C.∫(4e^x – 2x^5 + 3/x^5 - 2) dx.
To evaluate the indefinite integral of the given expression, we will integrate each term separately.
∫4e^x dx = 4∫e^x dx = 4e^x + C1
∫2x^5 dx = 2∫x^5 dx = (2/6)x^6 + C2 = (1/3)x^6 + C2
∫3/x^5 dx = 3∫x^-5 dx = 3(-1/4)x^-4 + C3 = -3/(4x^4) + C3
∫2 dx = 2x + C4
Putting all the terms together, we have:
∫(4e^x – 2x^5 + 3/x^5 - 2) dx = 4e^x + (1/3)x^6 - 3/(4x^4) + 2x + C
where C = C1 + C2 + C3 + C4 is the constant of integration.
In the given problem, we are asked to find the indefinite integral of the expression 4e^x – 2x^5 + 3/x^5 - 2 dx.
To solve this, we integrate each term separately and add the resulting integrals together, with each term accompanied by its respective constant of integration.
The first term, 4e^x, is a straightforward integral. We use the rule for integrating exponential functions, which states that the integral of e^x is e^x itself. So, the integral of 4e^x is 4 times e^x.
The second term, -2x^5, involves a power function. Using the power rule for integration, we increase the exponent by 1 and divide by the new exponent. So, the integral of -2x^5 is (-2/6)x^6, which simplifies to (-1/3)x^6.
The third term, 3/x^5, can be rewritten as 3x^-5. Applying the power rule, we increase the exponent by 1 and divide by the new exponent. The integral of 3/x^5 is then (-3/4)x^-4, which can also be written as -3/(4x^4).
The fourth term, -2, is a constant, and its integral is simply the product of the constant and x, which gives us 2x.
Finally, we add up all the integrals and the respective constant terms to obtain the complete solution: 4e^x + (1/3)x^6 - 3/(4x^4) + 2x + C. Here, C represents the sum of the constant terms from each integral and accounts for any arbitrary constant of integration.
Note: In the solution, the constants of integration are denoted as C1, C2, C3, and C4 for clarity, but they are ultimately combined into a single constant, C.
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Two cards are drawn from a standard deck of cards. What is the probability of drawing a jack and then drawing an Ace?
Answer:
The probability is 4/663
Step-by-step explanation:
In a standard deck of cards, we should know that there are 52 cards
The number of jacks are 4 are there are 4 aces also
The probability of drawing a Jack will be 4/52 or 1/13
Now, drawing an ace in this deck of cards means we have 4 our if 51 since we already too out a jack.
Thus the probability will be 4/51
So the probability of drawing a jack and then an ace will be ;
1/13 * 4/51 = 4/663
An arts academy requires there to be 3 teachers for every 75 students and 4 tutors for every 48 students. How many students does the academy have per teacher? Per tutor? How many tutors does the academy need if it has 108 students?
Answer:
A. or B.
Step-by-step explanation:
I
Sum of zeroes of polynomial 2x²-x-3 is ? Full solved answers ✔ No spam ❌
Answer:
\(\frac{1}{2}\)
Step-by-step explanation:
Given a quadratic equation in standard form
ax² + bx + c = 0 , then the sum of the roots is
α + β = - \(\frac{b}{a}\)
Here 2x² - x - 3 = 0 is in standard form
with a = 2 and b = - 1 , then
sum of roots = - \(\frac{-1}{2}\) = \(\frac{1}{2}\)
Given collinear points A B, and C such that point B is between A and C. Find the length of AB given that AB = 5x + 1, BC = 3x-4, and AC = x + 11
Given collinear points A B, and C such that point B is between A and C.
Collinear points mean they all lie on the same plane.
AB = 5x + 1
BC = 3x-4
AC = x + 11
We are asked to find the length of AB.
To find the length of AB it is necessary to first find the value of x.
Let us draw this scenario to better understand the problem.
As you can see in the above figure, the sum of the length AB and BC must be equal to the length AC.
Mathematically,
\(AB+BC=AC\)Let us substitute the given values
\((5x+1)+(3x-4)=x+11\)Now let's solve the equation for x.
\(\begin{gathered} 5x+1+3x-4=x+11 \\ 5x+3x+1-4=x+11 \\ 8x-3=x+11 \\ 8x-x=11+3 \\ 7x=14 \\ x=\frac{14}{7} \\ x=2 \end{gathered}\)Finally, the length of AB is
\(\begin{gathered} AB=5x+1 \\ AB=5\mleft(2\mright)+1 \\ AB=10+1 \\ AB=11 \end{gathered}\)Therefore, the length of AB is 11.
Ricardo measured his back yard. He said it was 93 feet long. How many yards is that?
By performing a change of units from feet to yards, we will see that the backyard measures 31 yards.
How many yards measure the backyard?We know that Ricardo measured his backyard and he found that it measured 93 feet, but we want to find this measure in yards, so we need to perform a change of units.
To do it, we will use the relation:
1 yard = 3 feet
Then we can write:
1 = (1 yard)/(3 feet).
Now we have the measure:
93 ft
And we can multiply it by (1 yard)/(3 feet), that is equal to 1, so it does not change the measure, only the units:
93 ft = 93ft*(1 yd/3ft) = 31 ft
The backyard measures 31 ft.
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Write the equation y=-4x+7 passing through the point (-6,-8) in point slope intercept form?
Answer:
y + 8 = -4 (x + 6)
Step-by-step explanation:
y + 8 = -4 (x + 6)
describe how to transform the graph of f into the graph of g. f(x) = sqrt x-9 and g(x) = sqrt x+5
To transform the graph of f into the graph of g:
Make a horizontal shift of 14 units to the left
Make a vertical shift of 14 units upward
How to determine the transformationTake the following steps to determine the transformation;
Given the functions:
\(f(x) = \sqrt{x - 9}\)
\(g(x) = \sqrt{x + 5}\)
Horizontal Shift;
Substitute the variable 'x' in the original function with '(x - h)', where 'h' is the amount of the horizontal shift.
f(x) = √(x - 9) will be 14 units to the left, h = 14.
f(x) = \(\sqrt{(x - 14) - 9}\).
Vertical shift:
Original function f(x) = √((x - 14) - 9) will be transformed 14 units upward, We have;
\(\sqrt{(x -14) + 5}\)
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find the nth term of a sequence starting with 8, 20, 36,56,80
Answer:
the answer is 108
Step-by-step explanation:
Let us consider the seris 8,20,36,56,80:
it follows the pattern
20-8=12
36-20=16
56-36=20
80-56=24
similarly 108-80=28
here the difference is increased by 4
if jenna scored a 65% on the original test and an 80% on the retake would you consider and improvement when looking at her test data?
If we compare Jenna's original test score of 65% to her retake score of 80%, the test statistics do indeed demonstrate an improvement.
As her score grew by 15 percentage points, there was an improvement, which suggests that her performance improved or increased between the first exam and the second.
This represents an improvement in Jenna's test results, in our opinion. Her retake score was 80%, which is a greater percentage than her first score of 65%.
This demonstrates an improvement in her performance since it shows that she performed better on the second test than she did on the first.
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which problem could be solved using the inequality 5n<55
Answer:
B) is the correct answer because the 5 shirts are supposed to be LESS THAN 55, hence the less than symbol.
a rectangle is 12cm long and 9cm wide . calculate the length of the diagonal
Answer: 15 centimeters
Step-by-step explanation: You cut the rectangle into two triangles following the diagonal. You add 12 squared (144) and 9 squared (81) together. You get 225. You get the square root of 225 which is 15 and that is your answer. Basic solving for the hypotenuse.
If a rectangle is 12 cm long and 9 cm wide. The length of the diagonal will be 15 cm.
What is a rectangle?It is a polygon with four sides. The total interior angle is 360 degrees.
A rectangle is 12 cm long and 9 cm wide.
Then the length of the diagonal will be
d² = 12² + 9²
d² = 144 + 81
d² = 225
d = 15 cm
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help me I'm bout to breakdown on this and cry help I'm rlly not ok
The table contains some points on the graph of an exponential function.
Based on the table, which function represents the same relationship?
A. Y = 10(4)x B. y = 10(2)x C. y = 40(10)x D. y = 2(40)x
Answer:
B. y = 10(2)^x
Step-by-step explanation:
y = ab^x
to find "b" divide the function at x = 3 by the function at x = 2
80 = ab^3
——————
40 = ab^2
This results in
2 = b
to find "a" plug pickany value of x
using x = 2
40 = a(2²)
40 = a(4)
a = 10
With a = 10 and b = 2 the exponential function y = ab^x is
y = 10(2)^x
Solve the inequality symbolically. Express the solution set in interval notation. (2-x)/(4)<(2x-4)/(9)
The solution set for the inequality (2-x)/(4) < (2x-4)/(9) is x > 2. In interval notation, this can be represented as (2, +∞).
To solve the inequality (2-x)/(4) < (2x-4)/(9) symbolically, we can follow these steps:
Multiply both sides of the inequality by 4 and 9 to eliminate the denominators:
9 * (2-x) < 4 * (2x-4)
Distribute the multiplication:
18 - 9x < 8x - 16
Move all terms containing x to one side and constants to the other side:
-9x - 8x < -16 - 18
-17x < -34
Divide both sides by -17, remembering to flip the inequality sign since we are dividing by a negative number:
x > (-34)/(-17)
x > 2
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8) A car travels at a speed of 50 feet per
minute. What is this speed in miles per
hour?
Answer:
3,000 ft per hour
Step-by-step explanation:
We know that 1 minute of driving gets us 50 ft of distance. We also know that there are 60 minutes in an hour. You can multiply 50 (ft per minute) by 60 (number of minutes in an hour) to get the number of ft per hour.
two numbers have ratio 12:5. Their difference is 98. Find the larger
number.
Identify the relative maximum.
A)
The relative maximum is 8 when x =0.
B)
The relative maximum is O when x = 3.03.
The relative maximum is 6.86 when x = -0.85.
D)
The relative maximum is -9.55 when x = 2.35.
Answer:
A
Step-by-step explanation:
the expected cell frequency is based on the researcher's opinion.
True or false
False. The expected cell frequency in statistical analysis, specifically in the context of contingency tables and chi-square tests, is not based on the researcher's opinion. Instead, it is determined through mathematical calculations and statistical assumptions.
In contingency tables, the expected cell frequency refers to the expected number of observations that would fall into a particular cell if the null hypothesis of independence is true (i.e., if there is no relationship between the variables being studied). The expected cell frequency is calculated based on the marginal totals (row totals and column totals) and the overall sample size.
The expected cell frequency is computed using statistical formulas and is not influenced by the researcher's opinion or subjective judgment. It is a crucial component in determining whether the observed frequencies in the cells significantly deviate from what would be expected under the null hypothesis.
By comparing the observed cell frequencies with the expected cell frequencies, statistical tests like the chi-square test can assess the association or independence between categorical variables in a data set.
Thus, the statement "the expected cell frequency is based on the researcher's opinion" is false. The expected cell frequency is derived through statistical calculations and is not subject to the researcher's subjective input.
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Aquaman dove 8 meters below sea level after taking a break he dove another 4 meters below the sea level.
Answer:
12 meters below sea level?
Step-by-step explanation:
Not entirely sure if that is what the question is asking...
Answer: -12 meters
Step-by-step explanation:
umm lol
a boat takes 3.40 hours to travel 25.0 km down a river, then 4.60 hours to return. how fast is the river flowing?
A boat takes 3.40 hours to travel 25.0 km down a river, then 4.60 hours to return, so the river is flowing at the speed of 0.95km/hrs.
Let x represent the boat's speed on still water.
Let y equal the current's speed.
The time is 3.40 hours, and the rate is x + y with the current.
The time is 4.60 hours, and the rate against the current is x - y.
rate x time = downstream
distance (x + y) * 3.40 = 25
Thus, upstream, 3.4x + 3.4y = 25. (x - y) * 4.60 = 25 so 4.6x - 4.6y = 25
Add 4.6 to both sides of the "downstream" equation and 3.4 to both sides of the "upstream" equation:
15.64x + 15.64y = 115
15.64x - 15.64y = 85
When the two equations are combined: 31.28x = 200, so x = 6.4
In other words, 15.64(6.4) + 15.64(y) = 115 and 100 + 15.64y = 115 are equivalent to 15.64x + 15.64y = 115.
120 is subtracted from both sides: 15.64y = 15, so y = 0.95
The speed of the boat in still water is 6.4 km per hour
The speed of the current is 0.95 km per hour.
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What do the coordinates of an undefined slope have in common?
The coordinates of an undefined slope are points that are either the same or have no x-value. In both cases, the slope of a line between these points would be undefined because it would involve dividing by 0, which is not allowed in mathematics. This is because the slope of a line is calculated by dividing the difference in y-coordinates by the difference in x-coordinates, and if the x-coordinates are the same or do not exist, this division would result in an undefined value.
1 point) find a basis of the subspace of r3 r3 defined by the equation −3x1−3x2−8x3=0−3x1−3x2−8x3=0. basis: {{ ⎡⎣⎢⎢⎢⎢⎢⎢[ ⎤⎦⎥⎥⎥⎥⎥⎥], ⎡⎣⎢⎢⎢⎢⎢⎢[ ⎤⎦⎥⎥⎥⎥⎥⎥] }.
A basis for the subspace is {{1,0,-3/8}, {0,1,-3/8}}. This can be answered by the concept from Sets.
To find a basis of the subspace of R3 defined by the equation −3x1−3x2−8x3=0, we can first rearrange the equation as x3 = (-3/8)x1 - (3/8)x2.
Then we can rewrite the subspace as Span{{1,0,-3/8}, {0,1,-3/8}} since these two vectors span the subspace of solutions to the equation.
Therefore, a basis for the subspace is {{1,0,-3/8}, {0,1,-3/8}}.
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Which type of map is this?
Answer:
goo
Step-by-step explanation: