Answer:
Using the given information from the graph, the x-intercept of the line is -1 and the y-intercept of the line is -4.
Step-by-step explanation:
For this problem, we are asked to find the x-intercept and the y-intercept of the line. The x-intercept represents the point where the line hits the x-axis. The y-intercept represents the point where the line hits the y-axis.
So, knowing this, we have the find the points where the line hits the x-axis and the point where the line hits the y-axis.
The line hits the x-axis at (-1,0). The line hits the y-axis at (0,-4)
So, the x-intercept of the line is -1 and the y-intercept of the line is -4.
Y’all someone help pls 5x-3=21-x
It takes me into 30 minutes to walk from home to school when walking at 5 km per hour What is her average cycling speed If it takes her 15 minutes by bike to travel the same distance
Answer:
10 km/h
Step-by-step explanation:
I'm not really sure about this but no ones answering your question and I wanna help.
So basically to calculate the average speed you need to divide the distance travelled by time taken
But you do not have the distance traveled. But it is mentioned that it takes u 30 minutes to walk from home to school when walking at 5 km/h so to find the distance all you have to do is... 30 x 5 = 150 km
Now that we have the time and distance all we have to do is find the average speed.
Average Speed = distance ÷ time
So 150 ÷ 15 = 10 km/h
two squares intersect at right angles, bisecting their intersecting sides, as shown. the circle's diameter is the segment between the two points of intersection. what is the area of the shaded region created by removing the circle from the squares?
The area of the shaded region created by removing the circle from the squares is 16√2.
This can be determined by using the Pythagorean theorem to calculate the length of the circle's radius, which is 4. Then, the area of the circle can be determined using the formula A = πr2, which is equal to 16π.
Finally, the area of the shaded region can be found by subtracting the area of the circle from the area of the two squares, which is 32.
Therefore, 16√2 is the area of the shaded region.
The Pythagorean Theorem states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.
Mathematically, this can be expressed as a^2 + b^2 = c^2, where a and b are the lengths of the two sides adjacent to the right angle, and c is the length of the hypotenuse.
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Which statement is not correct?
A. A 185° angle is an obtuse angle.
B. A 75° angle is an acute angle.
C. The terminal side of a 145º angle is in quadrant II.
D. A 225° angle is a reflex angle.
Step-by-step explanation:
A. A 185° angle is an obtuse angle
..................
Answer:
A 185° angle is an obtuse angle
Step-by-step explanation:
An obtuse angle is any angle that is greater than 90° and less than 180°
Therefore, a 185° angle is not obtuse
write the first six terms of the sequence f(n)=n^3+2
Answer:
\(3,10,29,66,127,218\)
Step-by-step explanation:
\(f(n) = n^3 +2\\\\f(1) = 1^3 +2 = 1+2=3\\\\f(2) =2^3 +2 = 8+2=10\\\\f(3)=3^3 +2 = 27+2 = 29\\\\f(4) = 4^3 +2 = 64 +2 = 66\\\\f(5) = 5^3 +2 = 125+2 = 127\\\\f(6) = 6^3 +2 = 216+2 = 218\)
Solve du/dt=Pu, when P is a projection: dtdu=[21212121]u with u(0)=[53]. Part of u(0) increases exponentially while the nullspace part stays fixed
To solve the given first-order linear differential equation du/dt = Pu with initial condition u(0)=[53], we can apply the matrix exponential method. The solution to this equation is given by u(t) = e^(Pt)u(0), where e^(Pt) is the matrix exponential.
Given the projection matrix P = [21212121], we can compute e^(Pt) and then multiply it by the initial condition u(0) = [53].
Since part of u(0) increases exponentially while the nullspace part stays fixed, this indicates that one eigenvalue of P is positive, causing exponential growth, while the other eigenvalue is zero, keeping the nullspace part constant.
To solve the equation du/dt=Pu, where P is a projection, we can use the fact that P is idempotent (P^2=P) and hence diagonalizable. Let's denote the eigenvalues of P by λ_1 and λ_2, and the corresponding eigenvectors by v_1 and v_2, respectively. Since P is a projection, we have λ_1=1 and λ_2=0, and v_1 is the direction of the part of u that increases exponentially, while v_2 is the direction of the nullspace part of u that stays fixed.
Using the eigendecomposition of P, we can write u(t)=c_1e^λ_1tv_1+c_2e^λ_2tv_2=c_1e^t v_1+c_2v_2, where c_1 and c_2 are constants determined by the initial conditions. Specifically, we have u(0)=c_1v_1+c_2v_2=[5/3 1/3]^T, which implies c_1=(5/3)v_1^T[5/3 1/3]=(5/3), and c_2=[5/3 1/3]^Tv_2=(1/3).
Therefore, the solution of the differential equation is u(t)=(5/3)e^t v_1+(1/3)v_2, which means that the part of u in the direction of v_1 increases exponentially with a rate of e^t, while the part of u in the direction of v_2 stays fixed. This is consistent with the given initial condition that part of u increases exponentially while the nullspace part stays fixed.
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find the slope of the line that passes through the points ( - 1, 2 ) and ( 2, -3 )
1. -5/3
2. 3/5
3. -3/5
4. 5/3
The slope of the line passing through the points (-1, 2) and (2, -3) is -5/3
Calculating the slope of a lineFrom the question, we are to determine the slope of the line that passes through the points (-1, 2) and (2, -3)
To find the slope of the line passing through the points (-1,2) and (2,-3), we can use the formula
m = (y₂ - y₁)/(x₂ - x₁)
Where m is the slope of the line
and (x₁, y₁) and (x₂, y₂) are the coordinates of the two points.
Substituting the given values into this formula, we get
m =(-3 - 2)/(2 - (-1))
m = -5/(2 + 1)
m = -5/3
Hence, the slope is -5/3
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which difficulty of range as a measure of variability is overcome by interquartile range?
The is used as a measure of to overcome the range is influenced too much by .
?
are then selected as 3 points such that
they create four groups in the data, each groups approximately possessing 25% of the data.
(inter quartile range) is defined as the between third and first quartile.
Since, range is used as a measure of to overcome the difficult of the range.
The interquartile range can be affected by , so the IQR (interquartile range) is used as a better of the range.
Hence, The interquartile range is used as a measure of variability to overcome the range is influenced too much by
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The interquartile range is used to overcome the difficulty of range as a measure of variability which is affected by outliers.
The range is a measure of variability which is determined by calculating the difference between the highest and lowest values in a dataset. However, this measure of variability can be affected by outliers - values that are unusually high or low. For example, if a dataset includes one value that is much higher than the rest, then the range will be much higher than it would be without the outlier. The interquartile range is used to overcome this difficulty by ignoring the outliers when calculating the range. It is calculated by dividing the data into quartiles and then subtracting the lower quartile from the upper quartile. This gives a more reliable measure of variability as it ignores the outliers and is not affected by them.
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Pls hurry and ty!!!!
Answer: 64
Step-by-step explanation:
So if the length of an edge is 4, the volume is 4 x 4 x 4 = 64 Or as a formula: volume = s3 where: s is the length of any edge of the cube.
Answer:
64 feet
Step-by-step explanation:
LxHxW
4x4x4
64 feet
Let m=7 and r = 8
Evaluate the expression. (r)(m)
Find a point-slope form for the line with slope
and passing through the point (-4,-7).
Answer:
\(\displaystyle y + 7 = \frac{1}{5}(x + 4)\)
General Formulas and Concepts:
Algebra I
Point-Slope Form: y - y₁ = m(x - x₁)
x₁ - x coordinate y₁ - y coordinate m - slopeStep-by-step explanation:
Step 1: Define
Identify variables.
Point (-4, -7)
Slope m = \(\displaystyle \frac{1}{5}\)
Step 2: Find Equation
Substitute in variables [Point-Slope Form]: \(\displaystyle y - -7 = \frac{1}{5}(x - -4)\)Simplify: \(\displaystyle y + 7 = \frac{1}{5}(x + 4)\)The triangular base of the prism shown has one interior angle that
measures 80° and another interior angle that measures 40°. What is the
measure of the third interior angle?
Answer:
B) 60°
Step-by-step explanation:
All the angles gotta add up to 180°, so the given ones equal 120° so it must be 60
Answer:
The answer is B
Step-by-step explanation:
What is the sum of the angle measures of a 35-gon ?
Answer:
The interior angles would be 5940. The exterior angles would add to 360
Step-by-step explanation:
Which is equal to 6-45?
Answer:
-39
Step-by-step explanation:
Please give me brainliest.
Answer:
-39
Step-by-step explanation:
6-45
A buyer owes a seller $45 and has gone to pay $6. The remaining dollars which the buyer must give the seller is $39.
dots are spaced one unit apart, horizontally and vertically. what is the number of square units enclosed by the polygon?
The number of square units enclosed by the polygon is 18.
First, count the number of dots that are enclosed by the polygon (including those on the boundary). There are 14 such dots.Next, count the number of dots on the boundary of the polygon. There are 8 dots on the boundary.Each of the dots on the boundary corresponds to a line segment of the polygon.
So, the perimeter of the polygon is 8 units (the length of each of these line segments).Now, we can use Pick's theorem to find the area of the polygon. Pick's theorem states that A = i + b/2 - 1, where A is the area of the polygon, i is the number of dots inside the polygon, and b is the number of dots on the boundary of the polygon.
So, plugging in the values we have: A = 14 + (8/2) - 1 = 14 + 4 - 1 = 17
Therefore, the area of the polygon is 17 square units.However, we have to remember that the dots are spaced one unit apart, horizontally and vertically.
Therefore, each square that is enclosed by the polygon has an area of 1 square unit. We counted 17 such squares, so the total area enclosed by the polygon is 17 square units.
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3. Jane wants to plant grass Seed in her yard. If it costs $0.55 per Square foot to plant grass Seed, how much will Jane Spend? Show your work.
Answer:
Step-by-step explanation:
area off reg 1
10 x 25 = 250
area of reg 2
45 x 13 = 585
total surface area
585 + 250 = 835ft^2
835ft^2 x $0.55 = $459.25
if the boundary is a non-navigable waterway, where is the boundary line situated?
If a boundary is described as a non-navigable waterway, it typically means that the boundary line is located along the edge or centerline of the waterway. In other words, the boundary line follows the course or path of the non-navigable waterway.
Non-navigable waterways are bodies of water that are not suitable for or intended for regular navigation by boats or vessels. They may include small streams, creeks, canals, ponds, or other bodies of water that are not deep or wide enough to accommodate large-scale navigation.
When determining boundaries that involve non-navigable waterways, the specific legal descriptions, survey data, or relevant documents should be consulted to ascertain the exact location and extent of the boundary line in relation to the waterway. Local laws, regulations, and jurisdictional considerations may also play a role in determining the precise positioning of the boundary line along the non-navigable waterway.
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If the boundary is a non-navigable waterway, the boundary line is usually situated at the center of the waterway.
If the boundary is a non-navigable waterway, the boundary line is typically situated along the centerline or "thread" of the waterway. This means that the boundary line follows the middle of the watercourse, dividing the ownership between the properties on each side of the waterway.
This is also known as the "Thalweg" principle, where the boundary line is determined by the center of the main channel of the watercourse.
However, it's important to note that boundary lines for non-navigable waterways can vary depending on state and local laws. It's best to consult with a licensed surveyor or land attorney for specific guidance on determining the boundary line for a non-navigable waterway.
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find the area of the surface given by z = f(x, y) that lies above the region r. f(x, y) = 4x 4y r: triangle with vertices (0, 0), (4, 0), (0, 4)
The area of the surface given by z = f(x, y) that lies above the region is 8√33.
What is the area of the surface?
A solid object's surface area is a measurement of the overall space that the object's surface takes up. The total surface area of a three-dimensional shape is the sum of all the surfaces on each side.
Here, we have
Given: f(x, y) = 4x + 4y, a triangle with vertices (0, 0), (4, 0), (0, 4).
we have to find the area of the surface.
f(x, y) = 4x + 4y
fₓ(x,y) = 4
\(f_{y}(x,y)\) = 4
So, the area of surface z = f(x,y) is bounded above by R is
S = ∫∫\(\sqrt{1+f_x^2+f_y^2} (dA)\)
S = ∫∫\(\sqrt{1+4^2+4^2} dA\)
S = √33∫∫dA
Now, the equation of a line is:
(y-0) = (4-0)/(0-4)×(x-4)
y = -x + 4
So, R{(x,y): 0≤x≤-x+4, 0≤x≤4}
S = √33 \(\int\limits^4_0\int\limits-^x^+^4_0 {} \, dy {} \, dx\)
S = √33\(\int\limits^4_0 {} \,\)(y)dx
S = √33[-x+4-0]₀⁴dx
S = √33(-x²/2 + 4x)₀⁴
S = √33(-4²/2 + 4(4))
S = √33(-8+16)
S = 8√33
Hence, the area of the surface given by z = f(x, y) that lies above the region is 8√33.
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an auditorium of a school has $20$ rows of seats with $10$ seats in the first row. each successive row has one more seat than the previous row. if students taking an exam are permitted to sit in any row, but not next to another student in that row, what is the maximum number of students that can be seated for an exam?
The maximum number of students that can be seated for an exam in the auditorium is 210.
To find the maximum number of students that can be seated for an exam in the auditorium, we need to determine the number of seats in each row. We can use the formula for the sum of an arithmetic sequence, which is S = (n/2)(2a + (n-1)d), where S is the sum, n is the number of terms, a is the first term, and d is the common difference.
In this case, we know that there are 20 rows of seats and 10 seats in the first row. The common difference between each row is 1, since each successive row has one more seat than the previous row. Plugging in these values into the formula, we get S = (20/2)(2(10) + (20-1)(1)), which simplifies to S = 10(20 + 19), or S = 10(39).
Therefore, the maximum number of students that can be seated for an exam is the sum of the number of seats in each row, which is 10 + 11 + 12 + ... + 29. We can find this sum by adding the first term (10) to the last term (29) and multiplying by the number of terms (20), and then dividing by 2. This gives us (10 + 29)(20)/2 = 210.
Hence, the maximum number of students that can be seated for an exam in the auditorium is 210.
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Dos o más ángulos son_______________________ si la suma de sus medidas es 90°
Answer:
Dos ángulos son complementarios si la suma de sus medidas es igual a 90°.Y son suplementarios si la suma es 180°.
How many terms are in this expression?
1 + 9 + 3u
Submit
Answer:
2
Step-by-step explanation:
When it comes to like terms, they have to end with the same symbol A.K.A variables, exponents, and numbers.
1 + 9 + 3u
There are two terms, constants and variables, constant being 1 and 9 while variable being 3u.
Rewrite y=a(2)^t/3 in the form y=a(1+r)^t or y=a(1-r)^t . Round the value of r to the nearest hundredth. State the growth or decay rate. Round your answer to the nearest whole number.
please answer asap
The exponential function is written as follows:
y = a(1 + 1)^(t/3).
Meaning that the growth rate is of 100% every 3 days.
How to model an exponential function?An increasing exponential function is modeled as follows:
y = a(1 + r)^(x/n).
In which:
a is the initial value.r is the growth rate.n is the time needed for the growth rate.From the equation given in this problem, the growth rate r every 3 days is given as follows:
1 + r = 2
r = 1. -> 100% growth rate every 3 days.
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Answer: \(y= a(1+0.26)^t\) grows 26%
Step-by-step explanation:
The original equation is \(y= a(2)^{t/3}\)
in order to write it as \(y=a(1+r)^t\) we must first get t alone
to do this you must do the inverse which in this case is cube rooting
\(y=a(\sqrt[3]{2} )^t\) (keep in mind it will not always be cube rooting, you will root it by whatever t is divided by example: \(y=a(5)^{t/7} = > y=a(\sqrt[7]{5} )^t\)
in the parenthesis you will get 1.26, now we can separate this out into the (1+r) format. your final product of the equation you write in your parenthesis should equal the number you just got, so we write it as
\(y=a(1+0.26)^t\)
hope this helps whoever reads it!! :)
Michelle has $8 and wants to buy a combination of dog food to feed at least two dogs at the animal shelter. A serving of dry food costs $1, and a serving of wet food costs $3. This system of inequalities models the scenario: x + 3y ≤ 8 x + y ≥ 2 Part A: Describe the graph of the system of inequalities, including shading and the types of lines graphed. Provide a description of the solution set. (4 points) Part B: Is the point (8, 2) included in the solution area for the system? Justify your answer mathematically. (3 points) Part C: Choose a point in the solution set and interpret what it means in terms of the real-world context. (3 points)
Part A: The shaded region represents the feasible region where both inequalities are satisfied simultaneously. It is below the line x + 3y = 8 and above the line x + y = 2.
Part B: The point (8, 2) is not included in the solution area.
Part C: The point (3, 1) represents one feasible solution that meets the constraints of the problem.
Part A: The graph of the system of inequalities consists of two lines and a shaded region. The line x + 3y = 8 is a solid line because it includes the equality symbol, indicating that points on the line are included in the solution set. The line x + y = 2 is also a solid line. The shaded region represents the feasible region where both inequalities are satisfied simultaneously. It is below the line x + 3y = 8 and above the line x + y = 2.
Part B: To determine if the point (8, 2) is included in the solution area, we substitute the x and y values into the inequalities:
8 + 3(2) ≤ 8
8 + 6 ≤ 8
14 ≤ 8 (False)
Since the inequality is not satisfied, the point (8, 2) is not included in the solution area.
Part C: Let's choose a point in the solution set, such as (3, 1). This point satisfies both inequalities: x + 3y ≤ 8 and x + y ≥ 2. In the context of the real-world scenario, this means that Michelle can buy 3 servings of dry food (x = 3) and 1 serving of wet food (y = 1) with her $8 budget. This combination of dog food allows her to feed at least two dogs at the animal shelter while staying within her budget. The point (3, 1) represents one feasible solution that meets the constraints of the problem.
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Find the amount of ice melted after 4.5 hrs of sunlight?
Group of answer choices
4.5 cubic feet
5 cubic feet
5.5 cubic feet
6 cubic feet
I would say 5 cubic feet based on the graph that the ice melted units are cubic feet
Hope that helped!
1.
The width of a rectangle is 19 centimeters less than double the length.
Let v be length of the rectangle. Write a variable expression for the width.
Answer:
width = 2v - 19
Step-by-step explanation:
how to find the length of a line segment using pythagorean theorem
To find the length of a line segment using Pythagorean Theorem, you need to have two of its coordinates. Let's say we have the coordinates (x1, y1) and (x2, y2) for the endpoints of the line segment.
First, we need to find the difference between the x-coordinates and the y-coordinates of the two endpoints. So, we have:
Δx = x2 - x1
Δy = y2 - y1
Next, we can use the Pythagorean Theorem to find the length of the line segment, which states that the square of the length of the hypotenuse (the line segment) is equal to the sum of the squares of the other two sides (Δx and Δy). Therefore, we have:
Length of line segment = √(Δx² + Δy²)
This formula will give us the length of the line segment in the same units as the coordinates (e.g., if the coordinates are in meters, the length will be in meters).
So, to summarize, to find the length of a line segment using Pythagorean Theorem, we need to find the difference between the x-coordinates and y-coordinates of the endpoints, and then use the formula √(Δx² + Δy²) to calculate the length of the line segment.
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The product of 3! isA 1B 2.C 3D 6
Recall that n factorial is equal to
\(n!=n\times(n-1)\times(n-2)\ldots\times1\)Therefore, 3!
\(3!=3\times2\times1=6\)1. Calculate the mean, median, and mode of the following set of data. Round to the nearest tenth.
7,3, 2, 1, 13, 8, 1, 5, 14, 11, 15
ANSWERS
A.
mean=6.7, median =7,mode=8
B.
mean=7.3, median =8,mode=1
C.
mean=7.3, median =7,mode=1
D.
mean=6.7,median =7,mode=1
Answer:
C.
Step-by-step explanation:
7,3, 2, 1, 13, 8, 1, 5, 14, 11, 15
Write them in ascending order:
1, 1, 2, 3, 5, 7, 8, 11, 13, 14, 15.
The mean = sum of the numbers / 11
= 80/77
= 7.3.
The median = the middle number
= 7.
The mode = the number which occurs most
= 1.
A wilderness retail store asked a consulting company to do an analysis of their hiking shoe customers. The consulting company gathered data from each customer that purchased hiking shoes, and recorded the shoe brand and the customer's level of happiness. A Footlong shoe A Toes Knows shoe 4 5 Displeased Pleased 5 5 What is the probability that a randomly selected customer is pleased or purchased a Footlong shoe? Simplify any fractions.
The probability is given by the follwoing formula:
Probability = favorable outcomes / total outcomes
In this case, the favorable outcome is the number of customers that are in the group of pleased or in the group of those who bought the footlong shoe, we can find the number of people by summing up the number of pleased customers that bought eit
At a certain car rental company, it costs $39.95 per day and $0.06 cents per mile to rent a car. How much would it cost to rent a car for 2 days and drive 150 miles?
Answer: $88.90
Step-by-step explanation:
$39.95 x 2 + 0.06 x 150