The equation of a line that passes through (1/3, 2) is y = 6x – 4 with slope.
1. To solve for the equation of the line, we need to use the point-slope form.
2. The point-slope form is y-y1=m(x-x1).
3. We are given the point (1/3, 2). We can plug this into the equation as x1=1/3 and y1=2.
4. To find the slope (m), we need to calculate the rise over run. We can use the point (1/3, 2) and another point to calculate the slope.
5. Let's choose the point (0,0). The rise is 2 and the run is 1/3. So the slope (m) is 6.
6. Now we can plug our values into the point-slope form and solve for y.
7. y-2=6(x-1/3).
8. We can simplify this equation by subtracting 2 from both sides.
9. y=6x-4.
10. This is the equation of the line that passes through (1/3, 2).
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Determine the number of residuals that are positive, negative, and zero. PLEASE EXPLAIN THE ANSWER AS WELL THANK YOU!!
Quadrilateral GHIJ is similar to quadrilateral
KLMN. Find the measure of side MN. Round
your answer to the nearest tenth if necessary.
Based on the definition of similar quadrilaterals, the measure of side MN is: 14.1 units.
What are Similar Quadrilaterals?If two quadrilaterals are similar to each other, then the measure of their corresponding sides will have a ratio that is equal. This means they will have proportional side measures.
Since we are told that quadrilaterals GHIJ and KLMN are similar to each other, then their corresponding sides will have measures that are proportional to each other.
Therefore:
IJ/MN = GJ/KN
IJ = 35
MN = ?
GJ = 52
KN = 21
Substitute:
35/MN = 52/21
Cross multiply:
MN(52) = (35)(21)
MN(52) = 735
MN = 735/52
MN = 14.1 units
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What is the slope perpendicular to Y =- 7?
The slope of a line perpendicular to Y =-7 is 7. We may use this as a substitution in the inverse slope formula because the slope of Y = -7 is -1.
To find the slope of a line perpendicular to Y = -7, we need to use the inverse slope formula.
The inverse slope formula is m = -1/m1
where m1 represents the original line's slope.
We may use this as a substitution in the inverse slope formula because the slope of Y = -7 is -1.
m = -1/-1
This simplifies to m = 1.
As a result, a line's slope that is perpendicular to Y = -7 is 7.
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The graph of y=f(x) is graphed below. What is the end behavior of f(x)?
The graph of y = f(x) has end behavior as x ⇒ ∞, y ⇒ - ∞ and
as x ⇒ - ∞, y ⇒ ∞.
What is the end behavior of a polynomial?A polynomial function's final behavior is how its graph behaves as x gets closer to positive or negative infinity.
The graph's final behavior is determined by a polynomial function's degree and leading coefficient.
The given function f(x) has end behavior as x approaches infinity y approaches negative infinity and as x approaches negative infinity y approaches infinity.
As when x value is positive y value is negative and when y value is negative x value is positive.
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(01.03 LC)
Will give 5 points to each answer and a Brainliest! Yolanda's age is 5 years less than twice Marco's age. If Yolanda is 15 years old, how old is Marco? Choose the answer below that is a viable solution to this problem. (1 point)
O 10
O 8
O 5
O 1
Answer:
10
Step-by-step explanation:
do the reserve to 15
add 5 to get 20 and divide by 2 to get 10
Answer: O 10
Step-by-step explanation:
Yolanda = 2 * Marco - 5 Yolanda = 15 So 15 = 2 * Marco - 5 Add 5 to both sides 20 = 2* Marco
A kangaroo hops 9 kilometers in 3 minutes. At this rate: How far does the kangaroo to travel in 1 minute?
Answer:
3 km
Step-by-step explanation:
Dividing by 3, the kangaroo travels 3 km in 1 min.
What is the sum of all interior angles of a 33-sided regular polygon?
The Sum of Interior Angle of a polygon with 33 Sides is 5580°
What are Interior Angles?
The Interior Angle is the smaller of the two angles created when two polygon sides meet/ any of the four angles generated when a third line intersects a pair of parallel lines.
Solution:
The Sum of Interior Angle is given by the formula = (n - 2)*180°
here n is the number of sides
To Find:
Sum of Interior Angle where total sides are 33
Sum of Interior Angle = (33 - 2)*180°
Sum of Interior Angle = 31*180° = 5580°
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please help, answers only!!
Answer:
The x-intercept is 40, which represents the number of monthly payments needed to repay the loan
Step-by-step explanation:
We see that the x-intercept is at x=40, and the x-axis is number of monthly payments.
A function has a degree of 8. It has two x-intercepts, one of multiplicity 1 and one of multiplicity 3. How many imaginary zeros does the function have?
Answer:
two or four
Step-by-step explanation:
Any degree-X polynomial can have up to 8 zeros (some of them can have multiciplity higher than 1).
The polynomial can be written as:
f(x) = (x-a)(x-b)(x-c)(x-d)(x-e)(x-f)(x-g)(x-h)
and we're already told that there are 2 x-intercepts, one with multiplicity 1. Let's assign those x-intercepts a and b=c=d (multiplicity 3).
We're left with (x-e)(x-f)(x-g)(x-h), where e, f, g and h need to be non-real complex numbers (otherwise they'd provide x-intercepts).
The complex zeros (more accurate term than imaginary) must come in pairs - if a number c is a zero of the function, its conjugate is a zero too. That means that we need to have an even number of complex zeros.
We can either have 4 distinct complex zeros, or 2 complex zeros, each with multiplicity of 2.
Show y=2x-7 on a graph
Answer:
Step-by-step explanation:
you could do is buy 2x on the x-axis
If the length of a rectangle in terms of x is 5x2 + 4x - 4 centimeters and its
width is 3x² + 2x + 6 centimeters, what is the perimeter of the rectangle?
Answer:
Step-by-step explanation:
1222235567899.99978..88694..6.4.4.6.4.4.5
- A game show host has developed a new game called "Grab All Can." Here's how it works: a contestant reaches his dominant hand (i.e. right hand for right-handed people) into a jar of $10 bills and grabs as many as he can in one handful. Then he does the same thing with his non-dominant hand in a jar of $20 bills. Research with many volunteers has determined that the mean number of $10 bills drawn is 68 with a standard deviation of 9.5, and the mean number of $20 dollar bills is 58, with a standard deviation of 7.8.
(a) If D-the amount of money, in dollars, that a randomly-selected contestant grabs from the "$10 grab,"
find the mean and standard deviation of D.
Please help. I’m so confused
The mean and the standard deviation of D are given as follows:
Mean: $680.Standard deviation: $95.How to obtain the mean and the standard deviation of D?Variable D is the average amount of money earned, and the number of $10 bills grabbed has the distribution with mean and standard deviation given as follows:
Mean of 68.Standard deviation of 9.5.(as stated in the problem).
We want now the mean and the distribution for the total amount of money, meaning that the entire distribution is multiplied by 10, and thus:
The mean is multiplied by 10, assuming a value of $680.The standard deviation is also multiplied by 10, assuming a value of $95.More can be learned about the mean and the standard deviation of a distribution at https://brainly.com/question/15518619
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What is the simplified form of the following expression? assume x greater-than-or-equal-to 0 and y greater-than-or-equal-to 0.
The simplified form would be 338√x -72√2y.
If a fraction's top and bottom share only one additional common factor, it is said to be in its simplest form. In other words, the top and bottom cannot be divided further and remain full numbers.
The simplest form is also referred to as "lowest words."
the given expression is :
2(4√16x) - 2(4√2y) + 34√81x - 4(4√32y)
⇒ 8(√16x) - 8(√2y) + 34√81x - 16√32y
⇒8×4√x - 8√2y + 34×9√x - 16√16×2y [∵ √16 = 4 and √81 = 9]
⇒32√x - 8√2y + 306√x - 16×4√2y
⇒(32√x + 306√x) - 8√2y - 16×4√2y
⇒338√x -72√2y
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A function model a linear relationhip between the balance in Leah' bank account and the number of month ince he began her new job. Currently, Leah' bank balance i $750, and it ha been increaing at a rate of $100 per month ince he began her new job 6 month ago. What i the initial value of the bank balance function, in dollar?
Using the linear rate data provided and using simple unitary method, The answer is $150.
What do you mean by linear relationship?A straight-line link between two variables is referred to statistically as a linear relationship (or linear association).
What do you mean by data?In mathematics, data is a collection of facts and figures that can take any shape, whether it be numerical or not. You can calculate numerical data, which is always gathered in number form and includes things like student test results, employee salaries, football team member heights, etc.
Total balance after 6 months = $750
Rate = $100 per month
Time = 6 months
Balance deposited at the rate in 6 months = 100 * 6
=$600
Initial Balance = $750 - $600
=$150
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Simplify (z6z−5)−2.
−z
−z2
1 over z
1 over z raised to the second power
The given expression as a statement is given by -
1 over z raised to the second power.
What is an expression? What is a expression? What is a mathematical equation? A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.A mathematical equation is used to equate two expressions. Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.Given is the following complex function -
f(z) = (z⁶z⁻⁵)⁻²
We have -
(z⁶z⁻⁵)⁻²
Solving further, we get -
(z⁶⁻⁵)⁻²
z⁻²
1/z²
As a statement, we can write -
1 over z raised to the second power.
Therefore, the given expression is equivalent to -
1 over z raised to the second power.
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hat formula is used to gain information about an individual data value when the variable is normally distributed?
The formula used to gain information about an individual data value when the variable is normally distributes is, Z = (X - μ)/σ.
What is standard normal distribution?
The standard normal distribution, also known as the z-distribution, is a unique type of normal distribution in which the mean and standard deviation are both equal to 1.
Any normal distribution's values can be transformed into z scores to standardize it.
Z scores indicate the number of standard deviations away from the mean that each value represents.
The Z score is determined by the number of standard deviations above or below the mean for the standard normal distribution.
When a variable (let's say X) is normally distributed, then to get insights from its distribution, we transform it (i.e. X) into standardized variable (which constitutes "Standard" Normal Distribution).
Standardized variable, Z, is given by (X - μ)/σ
Hence, option B is correct answer. Z = (X - μ)/σ.
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Complete question:
Complete question is attached below.
Researchers surveyed 1,000 randomly selected adults in the u.s. a statistically significant, strong positive correlation was found between income level and the number of containers of recycling they typically collect in a week. please select the best interpretation of this result.a. We can not conclude whether earning more money causes more recycling among U.S. adults because this type of study does not allow us to infer causation. b. This sample is too small to draw any conclusions about the relationship between income level and amount of recycling for adults in the U.S. c. This result indicates that earning more money causes people to recycle more than people who earn less money.
The best interpretation of this result is a. We can not conclude whether earning more money causes more recycling among U.S. adults because this type of study does not allow us to infer causation.
Causation cannot be deduced from the study's design (CORRELATION ≠ CAUSATION). The strength and direction of a relationship between two or more variables are described by the statistical measure of correlation, which is given as a number.
However, a correlation between two variables does not necessarily imply that a change in one variable is the reason for a change in the values of the other.
There is a causal relationship between the two occurrences, which means that causation shows that one event is the outcome of the occurrence of the other event. This concept is also known as cause and effect.
The adage "correlation does not imply causation" relates to the difficulty of establishing a cause-and-effect connection between two variables or events based merely on the observation of their association or correlation.
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PQR is a right angled triangle.
PR= 8cm.
QR= 12cm.
Find the size of the angle marked x. Give your answer correct to 1 decimal place.
For the given right triangle the value of the angle x is 33.7°.
What is right triangle?
A right triangle, also known as a right-angled triangle, an orthogonal triangle, or formerly a rectangled triangle, is a triangle with one right angle, meaning that its two sides are perpendicular. Trigonometry's foundation is the relationship between the right triangle's sides and other angle.
Given:
PQR is a right angled triangle.
PR= 8cm.
QR= 12cm.
We have to find the value of angle x.
As the triangle is right angle triangle so we use the trigonometric ratio to find the value of x.
[tex]tanx = \frac{Opposite Side}{Adjacent Side} \\tanx = \frac{8}{12} \\tan x = 0.6667\\x = tan^-^1(0.6667)\\x = 33.69^o\\x = 33.7^o[/tex]
Hence, for the given right triangle the value of the angle x is 33.7°.
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what is the slope of line perpendicular to the line whose equation is y=-2/3x-5
Answer: 3/2
Step-by-step explanation:
Let's start with what we know. For a slope to be perpendicular it is the - reciprocal. So:
-2/3's negative reciprocal is
3/2
what is the vaule expression of m4 - 11 when m = 3
Answer:
m4 - 11 = 1
Step-by-step explanation:
Given information,
→ m4 - 11
→ m = 3
Now the value of expression is,
→ m4 - 11
→ (3)4 - 11
→ 12 - 11 = 1
Hence, value of expression is 1.
The function y = 6.25x describes the amount of
money y Peter gets paid after x hours. Graph the
function. Use the graph to estimate how much
money Peter gets paid after 7 hours.
The money that Peter gets paid after 7 hours is 43.75
What are Functions?
A function is an expression, rule, or law in mathematics that describes a connection between one variable (the independent variable) and another variable (the dependent variable).
Solution:
The question given is quite straight forward.
Sinec, we are given with the function y = 6.25x
where x is the hours and y is the pay
To find the pay for 7 hrs
we need to replace x by 7
y = 6.25 * 7
y = 43.75 units
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please help, answers only!!
Answer:
Step-by-step explanation:
slope=-5/4
b=5
y=-5/4x+5
a student believes that the average grade on the final examination in statistics is at least 85. she plans on taking a sample to test her belief. the correct set of hypotheses is
By using testing of hypothesis, it can be concluded that-
The correct set of hypotheses is
[tex]H_0 : \mu \geq 85[/tex]
[tex]H_a : \mu < 85[/tex]
What is testing of hypothesis?
Suppose there is a data at hand and there is a hypothesis to be tested. Testing of hypothesis determines whether the given hypothesis can be supported with the data at hand.
A student believes that the average grade on the final examination in statistics is at least 85.
The null hypothesis is [tex]\mu \geq 85[/tex]
The alternative hypothesis is [tex]\mu < 85[/tex]
So, the correct set of hypotheses is
[tex]H_0 : \mu \geq 85[/tex]
[tex]H_a : \mu < 85[/tex]
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Can Someone Solve This By Using The Formula a^2+b^2=c^2
Step-by-step explanation:
Use Pythagorean Theorem,
[tex] {a}^{2} + {b}^{2} = {c}^{2} [/tex]
C is the hypotenuse
a and b are the legs which is 20 and 48
[tex] {20}^{2} + {48}^{2} = {c}^{2} [/tex]
[tex]400 + 2304 = {c}^{2} [/tex]
[tex]2704 = {c}^{2} [/tex]
[tex]c = 52[/tex]
Help with this substitution problem
3x-3y=-12
y=2x-9
A unicorn daycare center requires there to be 222 supervisors for every 181818 baby unicorns. Write an equation that shows the relationship between nnn, the number of supervisors, and uuu, the number of baby unicorns. Please note that this is a magical daycare center, so fractional supervisors are allowed.
The number of supervisors for baby unicorns is 9 times the number of unicorns.
Let 'n' be the number of supervisors.
Let there be u number of unicorns.
A unicorn daycare center needs two supervisors for every 18 unicorns, according to the question.
As a result, mathematically, it is stated as
9/u = 2/18
9n = u
As a result, the relationship between the number of supervisors and unicorns was established.
Hence, there are nine times as many supervisors as unicorns.
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which graph best represents the equation y=1.5x-2?
The graph is given below.
What are coordinates in a graph?The coordinates in a graph indicate the location of a point with respect to the x-axis and y-axis.
The coordinates in a graph show the relationship between the information plotted on the given x-axis and y-axis.
We have,
y = 1.5x - 2
We can have the following coordinates on the graph.
x = 1, y = 1.5 - 2 = -0.5
(1, -0.5)
x = 2, y = 3 - 2 = 1
(2, 1)
x = 3, y = 4.5 - 2 = 2.5
(3, 2.5)
x = 4, y = 6 - 2 = 4
(4, 4)
And so on.
The graph of y = 1.5x - 2 is given below.
Thus,
Some of the coordinates on the graph are:
(1, -0.5), (2, 1), (3, 25), (4, 4), and so on.
The graph is given below.
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1st question ,easy answer
Answer:
a
Step-by-step explanation:
Answer:
The answer is: A. Hope it helps.
Triangles a b c and d b c share common side b c. sides a c and c d are congruent. in order to prove △abc ≅ △dbc by sas, what additional information must be given? ∠abc ≅ ∠dbc ab ≅ db ∠acb ≅ ∠dcb bc ≅ bc
Answer:
(c) ∠acb ≅ ∠dcb
Step-by-step explanation:
You want to know what additional information is required to show ∆abc ≅ ∆dbc by SAS, given ac ≅ dc.
SASThis postulate tells you triangles are congruent if two corresponding sides are congruent, and the angles between them are congruent.
In the given geometry, the corresponding sides are given as congruent, so the additional information required is that the angles between them are congruent.
The angle between sides ac and bc is ∠acb.
The angle between sides dc and bc is ∠dbc.
The additional information required is ...
∠acb ≅ ∠dcb . . . . . matches choice C
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You earn $48 for washing 6 cars. How much do you earn for washing 2 cars?
Answer:
the function y=mx+b all you have to do is fill in what you need. The equation would be y=$12x+$48 the x is how many additional cars there are. The y would be the answer.
Step-by-step explanation:
Answer: $18
Step-by-step explanation: