Answers
On solving the provided question, we can say that - he re the slope value is using the formula y/x = k => [tex]k = 2/3[/tex]
what is slope?A line's steepness is determined by its slope. The "gradient overflow" is a mathematical expression for the gradient (the change in y divided by the change in x). The ratio of the vertical change (rise) between two points to the horizontal change (run) between the same two places is referred to as the slope. The slope-intercept form of an equation is used to represent each time a straight line's equation is stated as y = mx + b. The line's slope is m. b is b at the point where the y-intercept is, and (0, b). As an illustration, the equation y = 3x - 7 has a slope of 3, and its y-intercept is (0, 7).
Use the point (3, 2) and divide y by x using the formula y/x = k.
[tex]k = 2/3[/tex]
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Related Questions
Which of the following characteristics are true of all parallelograms? Select all that apply
Answers
Attributes of a parallelogram leads to, Due to the equal length of each side and the 90° angles that they create at their corners, a square is a parallelogram.
Parallel sides with two opposed pair?Due to the equal length of each side and the 90° angles that they create at their corners, a square is a parallelogram. They are, in this sense, two sets of parallel lines, which provides the framework for the parallelogram, which must have two parallel sides.Attributes of a parallelogram leads to, Due to the equal length of each side and the 90° angles that they create at their corners, a square is a parallelogram. They are, in this sense, two sets of parallel lines, which provides the framework for the parallelogram, which must have two parallel sides.The complete question is,
Which of the following attributes of a parallelogram leads to the conclusion that every square can be categorized as a parallelogram? Choose each option that applies.
four equal sides
two pairs of diametrically opposed equal angles
diagonals are cut in half.
two sets of parallel, opposed sides.
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Fine Floors can install 15 square yards of carpeting in 4 hours 30 minutes. At this rate, how long would it take to install carpeting in a room that measures 11 feet 9 inches by 13 feet 4 inches?
Answers
Answer:
Step-by-step explanation:
To figure out how long it would take Fine Floors to install carpeting in a room that measures 11 feet 9 inches by 13 feet 4 inches, we first need to determine how many square yards of carpeting are needed for the room. We can start by converting the dimensions of the room from feet and inches to yards, since that's the unit of measurement we're working with.
To convert feet to yards, we divide by 3. For example, 11 feet is equal to 11/3 = 3.67 yards. To convert inches to yards, we divide by 36 (since there are 36 inches in a yard). For example, 9 inches is equal to 9/36 = 0.25 yards.
So the length of the room in yards is 3.67 + 0.25 = 3.92 yards, and the width of the room in yards is 13/3 + 4/36 = 4.33 + 0.11 = 4.44 yards.
To determine the total area of the room in square yards, we multiply the length and width: 3.92 * 4.44 = 17.38 square yards.
Now that we know how many square yards of carpeting are needed for the room, we can use that information to calculate how long it would take Fine Floors to install the carpeting. Since we know that Fine Floors can install 15 square yards of carpeting in 4 hours 30 minutes, we can use that as the ratio for our calculation.
To calculate how long it will take to install 17.38 square yards of carpeting, we use the proportion:
(15 sq. yards) / (4 hours 30 minutes) = (17.38 sq. yards) / (x hours)
Cross multiplying and solving for x, we find: x = (4 hours 30 minutes) * (17.38 sq. yards) / (15 sq. yards)
So it would take Fine Floors approximately 5 hours and 11 minutes to install carpeting in a room that measures 11 feet 9 inches by 13 feet 4 inches.
A line passes through the point (-10,1) and has a slope of 3/2. Write an equation in point-slope form for this line. Please Help Best helped will get brainiest Promise PLS HELP !!!!!!!!!!!!!!!!!!!
Answers
Answer:
y - 1 = 3/2 (x + 10)
Step-by-step explanation:
Point-slope form of the equation of a line is a fill-in-the-blank shortcut to write an equation. If you know a point and the slope of a line you can fill in that info and voila! you have the equation.
Here is Point-slope equation:
y - Y = m(x - X)
Because the point given (-10,1) is in the form (X,Y), fill in -10 for X and 1 for Y.
The slope given is 3/2, fill that in for m.
y - Y = m(x - X)
y - 1 = 3/2 (x - -10)
y - 1 = 3/2 (x + 10)
The equation is
y - 1 = 3/2 (x + 10)
Reagan went to the playground. She played on the swings for 24 minutes and went on the slide for 13 minutes. It was 4:28 P.M. when Reagan left the playground. What time was it when Reagan arrived at the playground?
Answers
Answer:
If she played on the swings for 24 minutes and on the slide for 13, then she was at the playground for 37 minutes.
If she left the playground at 4:28, then you want to subtract 37 minutes from 4:28.
4:28 - :37 = 3:51.
She arrived at the playground at 3:51
Step-by-step explanation:
Hope it helps! =D
Answer:
3:51 p.m.
Step-by-step explanation:
Add the two amounts of time:
24 minutes + 13 minutes = 37 minutes
She was at the park for 37 minutes. She arrived at the park 37 minutes before 4:28 p.m.
Now we subtract 37 minutes from 4:28 p.m.
Remember that 1 hour = 60 minutes, so when you borrow 1 hour to do the subtraction, you add 60 minutes to the minutes of the time of day.
Borrow 1 hour from 4 hours as 60 minutes. You end up with 3 hours. Then add the 60 minutes to the 28 minutes to get 88 minutes.
4:28 p.m. is the same as 3:88 p.m.
4:28 p.m. 3:88 p.m.
- 0:37 -----> - 0:37
------------------- -------------------
3:51 p.m.
Answer: 3:51 p.m.
List five vectors in Span (V₁ V₂). Do not make a sketch.
V₁ = (8 2 7 )
V₂ = (-6 4 0 )
List five vectors in Span (V₁ V₂).
(Use the matrix template in the math palette. Use a comma to separate vectors as needed. Type an integer or a simplified fraction for each vector element.)
Answers
Five vectors in Span (V₁ V₂) where V₁ = (8 2 7 ) and V₂ = (-6 4 0 ) is.
n(V₁ + V₂), n ∈ I, I = 1, 2, 3, 4, 5.
What is span in vector space?In mathematics, the set of all linear combinations of the vectors in S is referred to as the linear span, Denoted span(S), Either the intersection of all linear subspaces containing S, or the smallest subspace containing S, can be used to describe it. A vector space is therefore nothing more than the linear range of a set of vectors.
The vectors that are in the same span should be a multiple of the vectors
V₁ = (8 2 7 ), V₂ = (-6 4 0 )
Now, V₁ + V₂ = (2 6 7).
So, The five vectors in the span of V₁ and V₂ is,
2×(2 6 7).
= (4 12 14).
- 2×(2 6 7).
= (- 4 - 12 - 14).
3×(2 6 7).
= (6 18 21)
- 3×(2 6 7)
= (- 6 - 18 - 21).
5×(2 6 7).
= (10 30 35).
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Please help me solve
Answers
For this problem, we know that the line's function is equal to 3 if X isn't 0. That means that for every X that isn't 0, we'll have a line at y = 3 (since we know that g(x) is just fancy for y!). We're also given that if X is equal to 0, it must be at y = 4.
Therefore, your graph should have a straight line through y = 3 EXCEPT at x = 0! At x = 0 you should just have a shaded dot at y = 4.
Find the value of each variable for each circle. Show your work
Answers
The values of the variables in the circles are
Circle 1: a = 34 degreesCircle 2: a = 58 degrees, b = 90 degrees and c = 61 degreesHow to determine the values of the variables in the circles?From the question, we have the following parameters that can be used in our computation:
Circles and missing angles (see attachment for the figures)
Circle 1
To determine the unknown variable (a), we make use of the following theorem
The angle subtended by an arc at the circumference is twice the angle subtended at the circumference
Mathematically, this means that
a = 2 * 17 degrees
Evaluate the product
a = 34 degrees
Circle 2
To determine the unknown variable (a), we make use of the following theorem
The angle at the circumference in a semicircle is 90 degrees.
Mathematically, this means that
b = 90 degrees
Also, we have
a + 122 degrees = 180 degrees
Evaluate
a = 58 degrees
Using the theorem in (a), we have
b + a/2 + c = 180
This gives
90 + 58/2 + c = 180
Evaluate the like terms
c = 61 degrees
Hence, the angle c is 61 degrees
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6. Which of the following is true about the line given by 8x - 2y = 24?
A) The slope is negative.
B) The y-intercept is negative.
C) The x-intercept is 8.
D) The line does not pass through quadrant III.
Answers
Answer:
B
Step-by-step explanation:
put equation in slope-intercept formula (y=mx+b)
8x-2y=24
-8x -8x
-2y=-8x+24
divide each side by -2
y=4x-12
the "b" in the formula is the y-intercept which is -12, therefore B is correct
40= x²-y²
21= xy
find x and y
Answers
On solving the provided question, we can say that - the equation, 21 = xy; 40 = [tex]x^2-y^2[/tex] x= 2 and y = 2
What is equation?An equation is a formula in mathematics that joins two statements with the equal symbol = to represent equality. The definition of an equation in algebra is a mathematical statement proving the equality of two mathematical expressions. In the equation 3x + 5 = 14, for instance, the terms 3x + 5 and 14 are separated by an equal sign. The link between two phrases on either side of a letter is expressed mathematically. There is often only one variable, which is also the symbol. instance: 2x - 4 Equals 2.
here,
21 = xy;
40 = [tex]x^2-y^2[/tex]
x= 2
and
y = 2
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The cylindrical storage shed shown below is completely filled with road salt to make a town's roads safer during snow storms. About 21,000 cubic feet of road salt is used during a typical snow storm.
a. What is the total volume of the storage shed?
b. How many snow storms can the town expect to handle before the storage shed needs to be refilled with additional road salt?
Answers
The volume of the storage shed is 125600 ft³.
The storage shed will be refilled after using 125600 ft³ of salt.
How to find the volume of the storage shed?The cylindrical storage shed shown below is completely filled with road salt to make a town's roads safer during snow storms.
The volume of the storage shed can be found as follows;
volume of a cylinder = πr²h
where
r = radiush = heightTherefore,
r = 40 / 2 =20 ft
h = 100 ft
volume of the storage shed = 3.14 × 20² × 100
volume of the storage shed = 3.14 × 400 × 100
volume of the storage shed = 125600 ft³
Therefore, the storage shed can handle 125600 ft³ of salt before it needs to be refilled.
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$29, $58, $15, $75, and $22. Find the mean absolute deviation
Answers
The mean absolute deviation of $29, $58, $15, $75, and $22 is $32.67.
How to calculate the mean deviation?The average (mean) distance between each data value and the data set mean is known as the mean absolute deviation, or MAD. The average distance between each data point and the mean is known as the mean absolute deviation of a dataset. It provides insight into a dataset's variability.
From tje information, it should be noted that the mean will be:
= (29 + 58 + 15 + 129+ 75 + 22) / 6.
= 54.67
Means absolute deviation = 1/6+25.67 + 3.33 - 39.67 + 74.33 + 20.33 + 32.67)
= 32.67
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Complete question
Find the mean absolute deviation of the fulfilled items on Sherrie's registry: $29, $58, $15, $129, $75 & $22.
Sevati's collection has 14 fewer magazines in it than Alita's collection. They have 50 magazines
collection? How many magazines are in Alita's collection?
Select the person with more magazines: Alita
Select a label for each bar. Drag the bar representing Sevati's magazines to the right to draw a model that represents the scenario.
Enter expressions to complete the model.
Alita's
magazines
Sevati's
magazines.
x-14
14
X
Enter the expression that represents the number of magazines in Alita's collection.
Enter the expression that represents the number of magazines in Sevati's collection. x-14
Enter an expression for the number of magazines they have together.
Enter the number of magazines in Sevati's collection.
How
-50
50
Answers
Sevati has 18 magazines in her collection. Sevati's collection of periodicals is represented by the phrase x - 7 = 25.
what is expression ?Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation. Let's examine the writing of expressions. An expression in mathematics is made up of numbers, variables, and functions (such as addition, subtraction, multiplication or division etc.) You can think of expressions as being comparable to phrases.
given
If x is the alita collection,
then sevati is equal to x - 14 + x = 50.
Sevati's collection of magazines is represented by the formula 2x - 14 = 50, hence the alita collection is equal to 2x = 36
x = 18
Sevati has 18 magazines in her collection. Sevati's collection of periodicals is represented by the phrase x - 7 = 25.
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A(n)___ is a convex in which both pairs of opposite side are parallel
Answers
4th option: parallelogram
-50 POINTS- Already asked 3 times someone help pls. Don’t guess either.
Answers
Answer:
To find the coordinates of the point on the x-axis that is reflected over the x-axis from the point P, you can use the formula (x, -y). In this case, the x-coordinate of point P is 4, so the x-coordinate of the reflected point will also be 4. The y-coordinate of point P is 7, so the y-coordinate of the reflected point will be -7. Therefore, the coordinates of the reflected point are (4, -7).
gretchen buys a sweater at a clearance sale for $35.74. The original price of the sweater was $59.99. Find the percent discount.
Answers
Answer:
59.5765%
Step-by-step explanation:
$35.74/$59.99
Does anunify know this ?Simplify and round the answer to the nearest hundreths place
Answers
The simplified form of the expression [tex]\sqrt[5]{1215}[/tex] is [tex]3\sqrt[5]{5}[/tex].
What are surds and indices?We know there are two types of radicals one is surds when the number has been raised by such power that it is greater than zero and less than one,
The other type of radicals are indices where a number is raised to such power that is greater than one.
Given, A radical [tex]\sqrt[5]{1215}[/tex].
Now we'll prime factor 1215.
= [tex]\sqrt[5]{5\times243}[/tex]
= [tex]\sqrt[5]{5\times3\times81}[/tex].
= [tex]\sqrt[5]{5\times3\times3\times3\times3\times3}[/tex].
= [tex]3\sqrt[5]{5}[/tex].
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Chen tosses a number cube 19 fewer times than Jayden. Chen tosses a number cube 38 times. How many times does Jayden toss a number cube?
Answers
Select the correct answer. Which statement is true about this equation? 3(-y + 7) = 3(y + 5) + 6 A. The equation has one solution, y = 0. B. The equation has one solution, y = -1. C. The equation has no solution. D. The equation has infinitely many solutions.
Answers
the is answer is probably c
the answer makes sense
someone please help
Answers
is 11^2 x 5^4 a factor of 11^3 x 5^4
Answers
No, 11^2 x 5^4 is not a factor of 11^3 x 5^4.
To see this, you can divide 11^3 x 5^4 by 11^2 x 5^4 and see that there is a remainder.
11^3 x 5^4 = (11 x 11 x 11) x (5 x 5 x 5 x 5)
= 121 x 625
= 75125
11^2 x 5^4 = (11 x 11) x (5 x 5 x 5 x 5)
= 121 x 625
= 75125
75125 / 75125 = 1 with a remainder of 0.
Therefore, 11^2 x 5^4 is not a factor of 11^3 x 5^4.
need some help with this
Answers
The length of the missing side is 54.
What is Triangle?Triangle is a closed polygon consisting of three sides, three vertices and three angles.
Similar triangles are those triangle for which the ratio of corresponding sides is same without affecting the shape.
Given that ΔABC and ΔPQR are similar.
Let x be the side length of PR.
Ratio of their side lengths are equal.
AB : PQ = BC : QR = AC : PR
5 : 45 = 8 : 72 = 6 : x
Take the ratios 8 : 72 = 6 : x
⇒ 8 / 72 = 6 / x
Cross multiplying,
⇒ 8x = 72 × 6
⇒ 8x = 432
⇒ x = 432 / 8 = 54
Hence the side length missing is 54 units.
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-2 3/4, -1 3/4, -3/5 < o > -2 3/4, -3/5, -1 3/4 cual es menor?
Answers
Therefore , the solution of the given question of fractions comes out to be 5th option -3/5.
What is fraction?An element of a fraction or ratio is a piece of a whole. The number of equally sized pieces into which the whole has been divided is represented by the denominator b, and the number of parts that are included is represented by the numerator a. The LCM of two fractions' denominators is the least common multiple (LCD) of those denominators.
Here,
Given:
2 [tex]\frac{3}{4}[/tex], -1 [tex]\frac{3}{4}[/tex], 3/5 , -2 [tex]\frac{3}{4}[/tex], -3/5, -1 , [tex]\frac{3}{4}[/tex],
Therefore , by seeing the above given numbers ,
We compare above number
and we get to know ,
The 5th number 3/5, comes out to be smallest number from the following given numbers.
Therefore , the solution of the given question of fractions comes out to be 5th option -3/5.
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Suppose a young couple deposits $1000 at the end of each quarter in an account that earns 7.6%, compounded quarterly, for a period of 8 years. After the 8 years, they start a family and find they can contribute only $200 per quarter. If they leave the money from the first 8 years in the account and continue to contribute $200 at the end of each quarter for the next 19 years, how much will they have in the account (to help with their child’s college expenses)?
Answers
If they leave the money from the first 8 years in the account and continue to contribute $200 at the end of each quarter for the next 19 years, the future value in the account to help with their child's college is $215,293.42.
How the future value is computed?The future value for this investment is computed in two separate solutions.
We have used an online finance calculator to facilitate the process.
The future value denotes the present deposits compounded at an interest rate.
Initial Deposits:
N (# of periods) = 32 quarters (8 years x 4)
I/Y (Interest per year) = 7.6%
PV (Present Value) = $0
PMT (Periodic Deposit) = $1,000
Results:
FV = $43,489.87
Sum of all periodic payments = $32,000.00
Total Interest = $11,489.87
Subsequent Deposits:
N (# of periods) = 76 quarters (19 years x 4)
I/Y (Interest per year) = 7.6%
PV (Present Value) = $43,489.87
PMT (Periodic Payment) = $200
Results:
Future Value (FV) = $215,293.42
Sum of all periodic payments = $15,200 ($200 x 76 quarters)
Total Interest = $156,603.55
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How many triangles can be formed with the angle measures: 20, 100, and 60 degrees?
Answers
There are infinite many triangles that can be formed with the angle measures 20, 100, and 60 degrees
How to determine the number of trianglesFrom the question, we have the following parameters that can be used in our computation:
Angles = 20, 100, and 60 degrees
The above parameters are angles
When only angles are given, the triangle can have as many side lengths as possible
This means that there are infinite many triangles
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Summary
Suppose a quadratic expression in standard form has a value of c = 0. Can this quadratic expression be
factored? How do you know?
Answers
Answer:
yesx is a factorStep-by-step explanation:
You want to know if the standard form quadratic equation ax² +bx +c = 0 can be factored when c=0.
C = 0When the constant is zero, the equation becomes ...
ax² +bx = 0
Factoring out x, we have a factored form as ...
x(ax +b) = 0
showing that the equation can always be factored.
The stranger decides to tell the captain his story. From the look on the stranger's face in Frankenstein, what kind of a story does the captain think he will hear?
A. A love story
B. A strange and harrowing story
C. A story that is funny and entertaining
D. A story that is boring and he really is not interested in hearing it
Answers
Answer: B strange and harrowing story.
Step-by-step explanation: Based on the description of the stranger's face in the novel, it is likely that the captain would expect the stranger to tell a strange and harrowing story. The stranger's face is described as "wild" and "ghastly," which suggests that the story he is about to tell may be disturbing or unsettling in some way. The captain may also expect the story to be emotionally intense, given the stranger's appearance and demeanor.
Given U(-6, 7), V (1, -7), W (6, 4), and X (10, y). Find y such that
UV LWX.
Answers
The coordinates of U and V are (-6,7) and (1,-7), respectively. The vector UV connecting these two points is given by (1-(-6), -7-7) = (7, -14).
The coordinates of W and X are (6,4) and (10,y), respectively. The vector WX connecting these two points is given by (10-6, y-4) = (4, y-4).
For the sides UV and WX to be parallel, the vector UV must be proportional to the vector WX. This means that the ratio of the x-components must be equal to the ratio of the y-components. In other words, we have the following equation:
(7/4) = (-14)/(y-4)
Solving for y, we get:
y = -7
Therefore, the value of y such that the quadrilateral UVLWX is a parallelogram is y = -7.
Rewrite the function f(x)=-4(x-4)^2+26 in the form f(x)=ax^2+bx+c
Answers
Step 1.
(x-4) ^2 = x^2 - 8x+ 16
Step 2.
(-4) x^2 - 8x+ 16
-4(x^2-8x+16) = -4x^2 + 32x - 64
Step 3.
-4x^2 + 32x - 64 + 26 = -4x^2 + 32x - 38
Without graphing, find the slope of the line that goes through (-3,-2) and (-1,-5)
Answers
——- = — = - — // hope this helps!
-1+3 2 2
A scientist has two solutions, which she has labeled Solution A and Solution B. Each contains salt. She knows that Solution A is 65% salt and Solution B is 90% salt. She wants to obtain 140 ounces of a mixture that is 80% salt. How many ounces of each solution should she use?
Answers
0.65x + 0.90y = 140 * 0.80 = 112
x + y = 140
To solve this system of equations, we can first multiply the second equation by -1 and add the resulting equations:
-1 * (x + y = 140)
-x - y = -140
0.65x + 0.90y = 112
-x - y = -140
-0.35x - 0.10y = -28
Next, we can divide both sides of the second equation by -0.1 to get rid of the fractional coefficient:
-0.35x - 0.10y = -28
(-0.1/-0.1) * (-0.35x - 0.10y) = (-0.1/-0.1) * -28
-3.5x - y = -28
Finally, we can add the resulting equations to eliminate one of the variables:
-3.5x - y = -28
0.65x + 0.90y = 112
0.35x + 0.90y = 84
Dividing both sides by 0.35, we find that x = 240.
Substituting this value back into the equation x + y = 140, we find that y = -100. Since y represents the number of ounces of Solution B, this is not a valid solution. This means that there is no solution to the system of equations, and the scientist cannot obtain a mixture that is exactly 80% salt using these two solutions.