Write equations for the horizontal and vertical lines passing through the point (5,2).
The required equation of the vertical line is x=5 and the horizontal line is y=2 when passing through the point (5,2).
What is equation?A straight line's general equation is y = mx + c, where m is the gradient and y = c is the value at which the line intersects the y-axis. This value c is known as the y-axis intercept. A linear equation has the algebraic form y=mx+b, where m and b are constants, x is the independent variable, and y is the dependent variable. A linear equation is stated in statistical terms as y=a+bx, where a and b are constants. The equation of a two-dimensional line is ax+by=c; it is fair to predict that the equation of a three-dimensional line is ax+by+cz=d; reasonable, but incorrect—it turns out that this is the equation of a plane.
Here,
As the coordinate is (5,2),
The vertical line is x=5
The horizontal line is y=2
When passing through the point (5,2), the vertical line's required equation is x=5, and the horizontal line's required equation is y=2.
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HELP CAN SOMEONE HELP ME MATH I'LL GIVE BRAINLIEST
Answer:
Student C wrote the correct inequality
the inequality will be less than or equal to since we want to spend (exactly) 300 or less. We only buy one jacket for 60 dollars so it will be added seperately to the total number of jackets. We are buying multiple jackets and each jacket costs $40. P = # of pants. So the inequality will look like
60 + 40P (less than or equal to symbol) 300
Hope I'm not too late :)
Which graph shows a line with a slope of 2 and a y-intercept of 0?
Answer:
Its C
Can I please get a Brainlist please thx.
Step-by-step explanation:
The equation of a line is given by:
y = mx + c
where m is the slope of the line and c is the y-intercept.
The graph of Option C shows a line with a slope of 2 and a y-intercept of 0.
Option C is the correct answer.
What is an equation of a line?The equation of a line is given by:
y = mx + c
where m is the slope of the line and c is the y-intercept.
Example:
The slope of the line y = 2x + 3 is 2.
The slope of a line that passes through (1, 2) and (2, 3) is 1.
We have,
The line has a slope of 2 and the y-intercept is 0.
This means,
The line has to pass through y = 0.
i.e (0, 0)
Now,
We see that,
Options B and C has the y-intercept at y = 0.
Option B.
Two points: (0, 0) and (-1, 2)
Slope = (2 - 0) / (-1 - 0) = 2/-1 = -2
Option C.
Two points: (0, 0) and (1, 2)
Slope = (2 - 0) / (1 - 0) = 2/1 = 2
We see that,
Option C has slope = 2.
Thus,
The graph of Option C shows a line with a slope of 2 and a y-intercept of 0.
Option C is the correct answer.
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estimate the quotient 1.64 divided by 22
Answer:
about 0.075
Step-by-step explanation:
The estimation of the quotient 1.64 divided by 22 is 0.0745.
Given that,
There is one number i.e. 1.64.The other number is 22.We need to find the quotient.Based on the above information, the calculation is as follows:
\(= 1.644 \div 22\)
= 0.0745
Therefore we can conclude that the estimation of the quotient 1.64 divided by 22 is 0.0745.
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Need help fellas Whoever answers earns my respect, no links allowed.
Answer:
The correct answer is B
Hope this helps
you visit the tallest building in a city and drop a penny off the edge of the observation deck. the distance the penny will fall is 16 feet the first second, 48 feet the next second, 80 feet the third second, and then it will continue falling at the same rate. how many feet will the penny fall during the 8th second? 384 feet
The penny will fall from distance of 232 feet during the 8th second only, as it falls 960 feet in the first 8 seconds, but 728 feet in the first 8 seconds.
The distance the penny falls each second is increasing by 32 feet (16 feet + 32 feet = 48 feet, 48 feet + 32 feet = 80 feet, and so on). Therefore, during the 8th second, the distance it will fall is:
16 + 48 + 80 + ... + (8 - 1) * 32 feet
Using the formula for the sum of an arithmetic sequence, we get:
(8 / 2) * (16 + (8 - 1) * 32) feet
= 4 * (16 + 7 * 32) feet
= 4 * 240 feet
= 960 feet
So the penny will fall 960 feet during the first 8 seconds. However, we need to subtract the distance it fell during the first 7 seconds to find the distance it fell during the 8th second only. The total distance it fell during the first 7 seconds is:
16 + 48 + 80 + ... + (7 - 1) * 32 feet
= (7 / 2) * (16 + (7 - 1) * 32) feet
= 3.5 * (16 + 6 * 32) feet
= 3.5 * 208 feet
= 728 feet
Therefore, the penny will fall 960 - 728 = 232 feet during the 8th second only.
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if f(–5) = 0, what are all the factors of the function ? use the remainder theorem.
The factors of the function f(x) = x³ - 19x + 30 are (x + 5) and (x² - 5x + 6).
To find the factors of the function f(x) = x³ - 19x + 30 using the remainder theorem, we can apply the theorem by checking if x = -5 is a root of the polynomial. If it is, then (x + 5) is a factor of f(x).
According to the remainder theorem, if f(-5) = 0, then (x + 5) is a factor of f(x).
Let's substitute x = -5 into the function:
f(-5) = (-5)³ - 19(-5) + 30
= -125 + 95 + 30
= 0
Since f(-5) is indeed equal to 0, we can conclude that (x + 5) is a factor of f(x). This means that f(x) can be factored as:
f(x) = (x + 5)(q(x))
where q(x) represents the remaining factors of f(x).
To determine the remaining factors, we can divide f(x) by (x + 5) using long division or synthetic division. The quotient obtained will represent the remaining factors.
Performing the division, we would get:
f(x) = (x + 5)(x² - 5x + 6)
The complete question is:
If f(–5) = 0, what are all the factors of the function f(x) = x³ - 19x + 30? Use the remainder theorem.
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is it possible to choose (2n 1)^2 points in the disc of radius n such that the distance between any two of them is greater than 1?
Answer: its (4f 5) ^3
Step-by-step explanation:
hello! i'll mark the best answer brainliest (:
Tatiana opens a bank account that pays interest compounded annually. Which of the following are reasonable interpretations of the expression 500(1.0325)^t in this context?
Select all that apply.
A. The account earns about 1.03% interest each year.
B. The account earns 3.25% interest each year.
C. The account earns 5% interest each year.
D. Tatiana's starting balance was $500.
E. After 1 year the account will be worth $500.
I believe the answers are A. The account earns about 1.03% interest each year. and D. Tatiana's starting balance was $500.
I hope this helps
Answer:
A and E
Step-by-step explanation:
Given the piecewise function shown below, select all of the statements that are true. (includes pic)
thanks
Answer:
A and C
Step-by-step explanation:
Piecewise functions have multiple pieces of curves/lines where each piece corresponds to its definition over an interval.
Given piecewise function:
\(f(x)=\begin{cases}2x \quad &\text{if }x < 1\\5 \quad &\text{if }x=1\\x^2 \quad &\text{if }x > 1\end{cases}\)
Therefore, the function has three definitions:
\(\textsf{If $x$ is less than $1$ then $f(x) = 2x$}.\)\(\textsf{If $x$ equals $1$ then $f(x) = 5$}.\)\(\textsf{If $x$ is greater than $1$ then $f(x) = x^2$}.\)\(\textsf{A.} \quad f(1) =5\)
This statement is true as when x = 1, f(x) = 5.
\(\textsf{B.} \quad f(5)=1\)
This statement is false as when x is greater than 1, f(x) = x²:
\(\implies f(5)=(5)^2=25\)
\(\textsf{C.} \quad f(2)=4\)
This statement is true as when x is greater than 1, f(x) = x²:
\(\implies f(2)=(2)^2=4\)
\(\textsf{D.} \quad f(-2)=4\)
This statement is false as when x is less than 1, f(x) = 2x:
\(\implies f(-2)=2(-2)=-4\)
If x + y = 6 and x = y + 2, then find the numerical value of y.
Answer:
x = 4 and y = 2
4 + 2 = 6
2 + 2 = 4
Hope this helps!
The numerical value of "y" will be "2".
Given expressions are:
→ \(x+y=6\) ...(equation 1)
→ \(x=y+2\)
or,
→ \(x-y=2\) ...(equation 2)
By solving the above two equations, we get
→ \(2x=8\)
\(x = \frac{8}{2}\)
\(x=4\)
By substituting the value of "x" in equation 1, we get
→ \(4+y = 6\)
\(y = 6-4\)
\(y = 2\)
Thus the above is the correct value.
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Jack ran a total of 30 miles over the course of 15 track practices. How many track practices would it take for Jack to run 44 miles? Solve using unit rates.
My brain isn’t functioning and i need this done before December 21.
Answer:
22
Step-by-step explanation:
Use a proportion.
30/15 = 44/x
30x = 15 × 44
2x = 44
x = 22
Answer:
22
Step-by-step explanation:
30 miles/ 15 sessions of tract practice
Per practice Jack is running a total of 2 miles.
So 44 miles/2 miles
22 sessions of track practice
677 x 368 x 565 mm. to inches can anybody help?
the pointwise convergence and the uniform convergence of the sequence of functions given by X hn(x) TER, NEN. 1+n¹x2¹
To analyze the pointwise convergence and uniform convergence of the sequence of functions hn(x) = 1 + n*x^2, we will consider their behavior as n tends to infinity.
1. Pointwise Convergence:
For each fixed value of x, as n approaches infinity, the term n*x^2 dominates the sequence hn(x). This means that hn(x) approaches infinity as n gets larger.
Therefore, the sequence of functions hn(x) does not converge pointwise for any value of x.
2. Uniform Convergence:
To determine uniform convergence, we need to check if the sequence hn(x) converges uniformly on some interval. Let's analyze this:
Suppose the sequence hn(x) converges uniformly on an interval [a, b]. This would mean that for any given ε > 0, there exists an N such that for all n > N and for all x in [a, b], |hn(x) - L| < ε, where L is the limit function.
However, we have already established that the sequence hn(x) does not converge pointwise for any value of x. This implies that there cannot exist a limit function L, and thus the sequence hn(x) does not converge uniformly on any interval.
In conclusion, the sequence of functions hn(x) = 1 + n*x^2 does not converge pointwise or uniformly for any value of x or on any interval.
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Question 9 5 pts Reference questions 7 and 8. Are the events the person can regularly afford insulin and the person is under 55 independent events? Why or why not? Yes, the events are independent because Plan regularly afford insulin) - Plean regularly afford insulin | under 55) OYes, the events are independent because there are people who can't regularly afford insulin who are 55 or older No, the events are not Independent because Pícan regularly afford insulin) - Plcan regularly afford Insulin | under 55) Yes, the events are independent because people under 55 were included in the study and people 55 or older. No, the events are not independent because there are people who can regularly atford insulle who are under 55
The correct answer is option D. Yes, the events are independent because people under 55 were included in the study and people 55 or older.
The two variables under study, age and regular access to insulin, are referred to as the independent events.
Because they are unrelated to one another, the two events are distinct from one another. Neither the ability to routinely afford insulin nor the fact that a person is under the age of 55 inherently indicate that they are able to do so.
This means that neither event impacts the likelihood of the other occurring and that both events are independent from one another. As a result, the two occurrences can be investigated independently.
Complete Question:
Are the events where the person can regularly afford insulin and the person is under 55 independent events? Why or why not?
A. Yes, the events are independent because Plan regularly afford insulin) - Plean regularly afford insulin | under 55)
B. Yes, the events are independent because there are people who can't regularly afford insulin who are 55 or older
C. No, the events are not Independent because Pícan regularly afford insulin) - Plcan regularly afford Insulin | under 55)
D. Yes, the events are independent because people under 55 were included in the study and people 55 or older.
E. No, the events are not independent because there are people who can regularly afford insulin who are under 55
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Based on the tensor method I explained in class, compute Sc in normal fault with: S, =
30 MPa, S, = 25 MPa, S; = 20 MPa, azimuth Shmin: NS. S, is the principal stress.
The shear stress (Sc) in a normal fault using the tensor method. The principal stress magnitudes are given as S1 = 30 MPa, S2 = 25 MPa, and S3 = 20 MPa, with an azimuth of the minimum horizontal stress Shmin being NS.
To compute Sc, we need to determine the stress component perpendicular to the fault plane. In a normal fault, the fault plane is vertical, and the maximum compressive stress S1 acts horizontally perpendicular to the fault. The minimum compressive stress S3 acts vertically and is parallel to the fault plane. The intermediate stress S2 is oriented along the azimuth direction. Using the tensor method, we can calculate the stress components along the fault plane. The shear stress calculate the stress components along the fault plane. The (Sc) can be obtained as the difference between S1 and S3. In this case, Sc = S1 - S3 = 30 MPa - 20 MPa = 10 MPa. Therefore, the computed shear stress (Sc) in the normal fault is 10 MPa.
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8/10 lies _____ on number line.
8/10 = 0.8
Therefore, 0.8 (8/10) is put on the number line shown below.
A correct description of the line defined by y-6= -1/2(x+7) is
a. it is a line through (-7,6) with a slope of 1/2
b. it is a line through (7,-6) with a slope of -1/2
c. it is a line through (-7,6) with a slope of -1/2
d. it is a line through (7,-6) with a slope of 1/2
Answer:
C
Step-by-step explanation:
The correct answer is C
Because taking the point to be (a,b)
\(y - b = m(x - a) \\ \: is \: the \: \: equation \: \: of \: \: a \: line\)
If the probability that the islanders will beat the rangers in a game is 61%, what is the probability that the islanders will win exactly one out of six games in a series against the rangers? Round your answer to the nearest thousandth.
Answer:
0.1328 is the probability that the Islanders will win exactly zero out of six games in a series against the Rangers.
Step-by-step explanation:
Steve has 1 1/2 cups of flour. One of his recipes requires 1/8 cup of flour. What is the maximum number of times (batches) Steve can complete the recipe? a.2 3/4 b.16 1/2 c.20 or d.17
Answer:
12
Step-by-step explanation:
Hello I am sorry to say but the answer should be 12 as 3/2÷1/8=12
hope it helps you
please mark me as brainlist
Name an angle or angle pair that satisfies the condition.
a linear pair whose vertex is F
An angle or angle pair that satisfies the condition is angle F and its adjacent angle, creating a linear pair.
A linear pair consists of two adjacent angles that share a common vertex and a common side. In this case, the given condition states that the vertex of the linear pair is F. Therefore, we can consider angle F and its adjacent angle as a valid example of a linear pair whose vertex is F.
The two angles in a linear pair always add up to 180 degrees. By considering angle F and its adjacent angle, we can observe that their measures sum up to 180 degrees, satisfying the condition of a linear pair. This relationship holds true for any linear pair, and angle F in combination with its adjacent angle is just one example of such a pair.
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The sides of a triangle are in the ratio 4:4:3.What kind of triangle is it
Answer:
Isosceles triangle. An Isosceles triangle is a triangle that has 2 equal sides and 2 equal angles
Step-by-step explanation:
Study the illustration. Write the ratio
of flowers to bees. Complete the sentence.
For every 5 flowers there are _______
bees.
Answer: 6 bees
Step-by-step explanation:
The picture has 12 bees and 10 flowers. Thus, the ratio of flowers to bees is 10 to 12, which simplifies to 5 to 6.
Therefore, for every 5 flowers, there are 6 bees.
If Pile 1 has 10 shells, how many total shells are there?
5 or 20?
Please help
Answer: the question does not make sense, there would still be 10 shells
Step-by-step explanation:
What shape is produced when slicing a hexagonal prism perpendicular to the base?
Answer:
hexagonal shape
Step-by-step explanation:
i am small child from American
sorry for answer
I'm 10 year old
I am born in Nepal
but develop in America
in which line is an error first made when solving the equation below?
-18=-9z-9
Line 1 2 = Z-9
Line 2 11 = Z
Line 3 Z = 11
two positive whole numbers greater than 1 multiply to 576 and have no common factors other than 1. what is the sum of those two numbers?
Thus, the two positive whole numbers that are greater than one multiply to 576 and share only the number one in common is 5.
Explain about the positive whole numbers?One of the categories that mathematicians have created for numbers is titled whole numbers, and it contains all of the numbers from 0 to infinity.
The specific class or collection of numbers known as whole numbers includes:
Are all positive numbers with no fractional or decimal parts, including zero.Positive numbers with no decimal or fractional portions are referred to as whole numbers, including zero. They are numerical representations of whole, unbroken things. The set of whole numbers is mathematically represented by the numbers 0 through 9.Two positive whole numbers greater than 1 are 2 and 3.
2 and 3 does not have any common factor except 1.
sum of 2 and 3 = 5
Thus, the two positive whole integers that are greater than one multiply to 576 and share only the number one in common is 5.
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1.lim f(x)= (x¹⁰-1)/(x-1)
x--->1=....
2.lim f(x)= (1-cos2x)/x
x----0
3.f(x)=x²+2x---->f'(x)=.... ----->f''(x)=
please answer with the steps
1. Factorize the numerator:
x¹⁰ - 1 = (x - 1) (x⁹ + x⁸ + x⁷ + … + x² + x + 1)
Then
\(\displaystyle \lim_{x\to1} \frac{x^{10}-1}{x-1} = \lim_{x\to1} (x^9+x^8+\cdots+x+1) = \boxed{10}\)
2. Recall that
\(\displaystyle \lim_{x\to0} \frac{1-\cos(x)}x = 0\)
Then
\(\displaystyle \lim_{x\to0} \frac{1-\cos(2x)}x = 2 \lim_{x\to0} \frac{1-\cos(2x)}{2x} = 2\times0 = \boxed{0}\)
3. If f(x) = x² + 2x, then f'(x) = 2x + 2 and f''(x) = 2. This follows from the power rule for differentiation.
If you wish to show this using the definition, then
\(\displaystyle f'(x) = \lim_{h\to0} \frac{f(x+h) - f(x)}h\)
\(\displaystyle f'(x) = \lim_{h\to0} \frac{\left((x+h)^2 + 2(x+h)\right) - \left(x^2+2x\right)}h\)
\(\displaystyle f'(x) = \lim_{h\to0} \frac{x^2 + 2xh + h^2 + 2x + 2h - x^2 - 2x}h\)
\(\displaystyle f'(x) = \lim_{h\to0} \frac{2xh + h^2 + 2h}h\)
\(\displaystyle f'(x) = \lim_{h\to0} (2x + h + 2)\)
\(\displaystyle f'(x) = 2x+2\)
and
\(\displaystyle f''(x) = \lim_{h\to0} \frac{f'(x+h) - f'(x)}h\)
\(\displaystyle f''(x) = \lim_{h\to0} \frac{(2(x+h)+2) - (2x+2)}h\)
\(\displaystyle f''(x) = \lim_{h\to0} \frac{2x + 2h + 2 - 2x - 2}h\)
\(\displaystyle f''(x) = \lim_{h\to0} \frac{2h}h\)
\(\displaystyle f''(x) = \lim_{h\to0} 2\)
\(\displaystyle f''(x) = 2\)
What is the mean absolute deviation for 1.25 3.50 2.55 8.20 4.80 0.30 0.75 2.25
Answer:
the mean absolute deviation for the given data set is 1.86.
Step-by-step explanation:
To find the mean absolute deviation, we first need to find the mean of the data set.
Mean = (1.25 + 3.50 + 2.55 + 8.20 + 4.80 + 0.30 + 0.75 + 2.25) / 8 = 3.07
Next, we find the absolute deviation of each data point from the mean by subtracting the mean from each data point and taking the absolute value:
|1.25 - 3.07| = 1.82
|3.50 - 3.07| = 0.43
|2.55 - 3.07| = 0.52
|8.20 - 3.07| = 5.13
|4.80 - 3.07| = 1.73
|0.30 - 3.07| = 2.77
|0.75 - 3.07| = 2.32
|2.25 - 3.07| = 0.82
Then, we find the mean of these absolute deviations:
Mean absolute deviation = (1.82 + 0.43 + 0.52 + 5.13 + 1.73 + 2.77 + 2.32 + 0.82) / 8
Mean absolute deviation = 1.86
Therefore, the mean absolute deviation for the given data set is 1.86.
use suitable identities to find the following products (x+4)(x+10)
Answer:
\(x^2 + 14x + 40\)
Step-by-step explanation:
Here we gonna use the identity -
\((x+a)(x+b) = x^2+(a+b)x + ab\)
So using the identity here,
\((x+4)(x+10) \\=> x^2 +(4+10)x+4*10\\=>x^2+14x+40\)
Answer:
x²+14x+40 is correct answer
Step-by-step explanation:
(x+4)(x+10)
=x²+10x+4x+40
=x²+14x+40
hope it helped you:)