Answer:
No
Step-by-step explanation:
To be a function, it has to pass the straight line test. If two spots hit the line at the same time it isn't considered a function.
What is 120000 + 45000 x 877000 / 2?
Answer:
19732620000
Step-by-step explanation:
HELP PLEASE AND THANK YOU
Jin can text 65 words in 10 minutes. At this rate, how many minutes would it take him to text 143 words?
Answer:
22
Step-by-step explanation:
65 ÷ 10 = 6.5
Divide 65 by 10 to figure out how many words he can text in one minute, which is 6.5.
143 ÷ 6.5 = 22
Divide 143 by 6.5 to get the amount of minutes it takes, which is 22.
During a sale, a store offered a 20% discount on a stereo system that originally sold for $720. After the sale, the discounted price of the stereo system was marked up by 20%. What was the price of the stereo system after the markup? Round to the nearest cent.
The price of the stereo system after the markup was $691.20.
The original price of the stereo system was $720.
During the sale, the price was reduced by 20%, which is equivalent to multiplying by (1 - 0.2) = 0.8.
The discounted price was:
720 × 0.8 = $576
After the sale, the discounted price was marked up by 20%
It is equivalent to multiplying by (1 + 0.2) = 1.2.
So the final price was 576 × 1.2
= $691.20
Therefore, the price of the stereo system after the markup was $691.20.
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The sum of three consecutive odd integers is 75 . Find the value of the middle of the three.
The value of the middle of the three is 25.
Let x be the first odd integer, then the next two consecutive odd integers are x+2 and x+4. The sum of these three consecutive odd integers is given as 75, so we can write the equation:
x + (x+2) + (x+4) = 75
Simplifying the left side of this equation gives:
3x + 6 = 75
Subtracting 6 from both sides gives:
3x = 69
Dividing by 3 gives:
x = 23
So the first odd integer is 23, and the next two consecutive odd integers are 25 and 27. The middle of these three is the second consecutive odd integer, which is 25. Therefore, the value of the middle of the three is 25.
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What type of transformation can be defined as moving a figure to a new location with no change to the size or shape of the figure?
Translation type of transformation can be defined as moving a figure to a new location with no change to the size or shape of the figure.
Now, According to the question:
Type of Transformation:
There are four types of transformation in geometry, namely translation, reflection, rotation, and dilation. In translation, it slides the figure in any direction while in reflection, it flips the figure over a point or a line. Also, in rotation the figure turns, while in dilation the figure is either enlarged or reduced.
The type of transformation can be defined as moving a figure to a new location, without any change in the figure's size or shape being called translation. In translation, the figure merely slides or moves in the same direction and distance.
Therefore, the answer is Translation.
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Future Amount = I(1 + r)t
I= 30 r = 0.20 t = 3
First, plug I into the equation.
Future Amount = [?](1 + [?]) ^ [?]
Step-by-step explanation:
Using the formula:
Future Amount = I(1 + r)^t
I = $30
r = 0.20
t = 3
Future Amount = $30(1 + 0.20)^3
Future Amount = $30(1.20)^3
Future Amount = $30(1.728)
Future Amount = $51.84
Therefore, the future amount is $51.84.
Answer:
\(\textsf{Future amount}=\boxed{30}\;(1+\boxed{0.20}\;)\;^{\boxed{3}}\)
The future amount of an initial investment of $30 at an annual simple interest rate of 20% for the period of 3 years is $51.84.
Step-by-step explanation:
"Future amount" is the total value or amount of an investment or sum of money at a specific point in the future.
The future amount formula refers to a mathematical equation used to calculate the future value of an investment or sum of money, taking into account factors such as interest rate and time period.
The given future amount formula is:
\(\boxed{\textsf{Future amount}=I(1+r)^t}\)
where:
I is the initial amount.r is the interest rate (as a decimal).t is the number of time periods that will have passed.Given:
I = 30r = 0.20t = 3Substitute the given values into the future amount formula:
\(\textsf{Future amount}=\boxed{30}\;(1+\boxed{0.20}\;)\;^{\boxed{3}}\)
Calculate:
\(\begin{aligned}\sf Future\;amount&=30(1+0.20)^3\\&=30(1.2)^3\\&=30(1.728)\\&=51.84\end{aligned}\)
Therefore, the future amount of an initial investment of $30 at an annual simple interest rate of 20% for the period of 3 years is $51.84.
Which description explains how the graph of f(x)=√x could be transformed to form the graph of g(x)=√x+4?
a)horizontal shift of 4 units right
b)horizontal shift of 4 units left
c)vertical shift of 4 units up
d)vertical shift of 4 units down
The graph of f(x)=√x could be transformed to form the graph of g(x)=√x+4 c) vertical shift of 4 units up.
What is Graph Transformation?When functions are changed, the graph's representational curve "moves to the left/right/up/down," "expands or compresses," or "reflects."
A vertical movement of 4 units up is the explanation for how the graph of f(x)=x might be changed to become the graph of g(x)=x+4.
What are a function's 4 transformations?Translations, reflections, and dilations are the three different forms of transformations. A function can be transformed in one of two ways: vertically (affecting the y-values) or horizontally (affects the x-values). The function's equation, which includes the four transformation variables, is shown below (a, b, h, and k).
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A pole 11 feet tall is used to support a guy wire for a tower, which runs from the tower to a metal stake in the ground. After placing the pole, Jayden measures the distance from the pole to the stake and from the pole to the tower, as shown in the diagram below. Find the length of the guy wire, to the nearest foot. 11 ft 20 ft-8 ft
Answer:
48 ft
Step-by-step explanation:
Here, we want to find the length of the wire
from the diagram, we can identify two similar triangles
The smaller one and a bigger one
Mathematically, when two triangles are similar, the ratio of their corresponding sides are equal
We can start by getting the height of the tower
we have this as:
8/11 = 28/x
8 * x = 28 * 11
8x = 308
x = 308/8
x = 38.5 ft
So as we can see, the wire represents the hypotenuse of the larger triangle that measures 28 ft base and 38.5 ft height
So we can use the Pythagoras’ theorem to get the hypotenuse
Let us call this g
mathematically according to the theorem, the square of the hypotenuse equals the sum of the squares of the two other sides
thus, we have it that;
g^2 = 38.5^2 + 28^2
g^2 = 2,266.25
g = √2,266.25
g = 47.61 which is approximately 48 ft
Naomi is ordering a taxi from an online taxi service. The taxi charges $3.50 just for the pickup and then an additional $1 per mile driven. How much would a taxi ride cost if Naomi is riding for 9 miles? How much would a taxi ride cost that is mm miles long?
Answer:
12.5; y = 1x + 3.50
Step-by-step explanation:
Answer:
$ 12,50
Step-by-step explanation:
how much would a taxi ride cost if Naomi is riding for 9 miles?
9 (miles) × 1 ($) = 9 $
9+3,50=12,50
Betty sits 9 feet from the fulcrum and weighs 100 pounds. How far should Ginger sit if she weighs 125
pounds?
Answer:
7.2 feet
Step-by-step explanation:
Torque is calculated by T=Frsin(theta). Betty's total torque is 9 x 1000 (mg) = 9000. Since ginger weighs 125 pounds, 9000 = (125 x 10) x r. Solve for r and get 7.2 feet.
please fund the area
Answer:
48 sq m
Step-by-step explanation:
Given quadrilateral is a parallelogram.
Here,
Base = 8 m
Height = 6 m
Area of parallelogram = Base * Height
-> Area = 8 * 6 = 48 sq m
Find the area in quare centimeter of a rectangular orchard 3. 28m long and 75mm wide
Answer:
24.6 cm^2
Step-by-step explanation:
3.28m = 328 cm
75mm = 0.075 cm
Area of rectangle: L x W
328 times 0.075 = 24.6 cm^2
Simplify the following monomials. Your answer should contain positive exponents only.
18) 7a^5b^6c/14a^5b^9
19) -9xy^5z^3/36xy^4z^5
20) -15r^6s^7t^4/3r^2s^9t^7
Answer:
18) a^5b^-3c
19) -3xy^1z^-2
20) -5r^4s^-2t^-3
amelia started a puzzle at 12:56 and solved it at 2:33. how long did it take amelia to solve the puzzle?
Answer: 1 hour and 37 mins
Step-by-step explanation: add 4 mins to 12:56 to get 1:00 then add 1:33 to get 2:33 then add 1:33+0:04.
Write the rational number 46/1000 as a decimal
Answer:
0.046
Step-by-step explanation:
Answer:
0.046
Step-by-step explanation:
What is the slope of the line below?
Answer:
1/2
Step-by-step explanation:
if you take the (2,2) and make it (6,10), you add 4 to the x and 8 to the y. putting this as rise over run (x/y) it comes out to four eighths (4/8). reducing that comes out to one half (4/8).
The graph shows depth of water in a tank over time.
Calculate the rate at which the depth is decreasing.
Give your answer as a decimal.
PLEASE HELP ASAP!!!
Find the slope of a line perpendicular to 4x-y=6
Answer:
The slope is -1/4
Step-by-step explanation:
perpendicular line is \(y=-\frac{1}{4}x-6\)
250g = kg??
how do u solve dis pls
Answer:
250g=0.25kg
Step-by-step explanation:
Convert grams (gm) to Kilograms (kg) using this conversion calculator for metric weight conversions. 1 Gram = 0.001 Kilograms. The formula to convert grams to kilograms is to multiply by 0.001.
how to solve problem in the document
If 7m = 35, then 7m + 4 = 35 + 4 WHAT IS THE PROPERTY?
Answer:
Addition Property
because it has both multiplication and addition but the addition is more
What is the force needed to accelerate that same object to 7 m/s2? The unit of force is N (Newtons)
Answer:
252
Step-by-step explanation:
F= 36 times 7= 252
Answer:
Step-by-step explanation:
252
reducing the payment of rent to land owners will decrease the quantity of land supplied T/F
The statement "reducing the payment of rent to land owners will decrease the quantity of land supplied" is true.
When the payment of rent to landowners is decreased, it will lead to a decrease in the quantity of land supplied.
What is the meaning of the law of supply?
The law of supply is a fundamental principle of economic theory that states that as the price of a good or service increases, the quantity supplied of that good or service increases, ceteris paribus. Ceteris paribus is a Latin term that means "all other things being equal." The law of supply is one of the most basic principles of economics and is essential for understanding how markets function.
What is the relationship between rent and land supplied?
In the context of the law of supply, the relationship between rent and land supplied is that the supply of land is determined by the price of rent. When the payment of rent to landowners is decreased, it will lead to a decrease in the quantity of land supplied. This is because landowners will be less willing to supply land at a lower rent.
The converse is also true. If the payment of rent to landowners is increased, it will lead to an increase in the quantity of land supplied. This is because landowners will be more willing to supply land at a higher rent. Therefore, the price of rent is an important factor in determining the supply of land. If the price of rent is too high, landowners may choose not to supply land, which can lead to a shortage of land.
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Consider the following results for independent random samples taken from two populations.
Sample 1
Sample 2
N1 = 20
n2 = 40
21 = 22.1
= 20.5
s1 = 2.8
52 = 4.8
a. What is the point estimate of the difference between the two population means (to 1 decimal)?
1.6
b. What is the degrees of freedom for the t distribution (round the answer to the previous whole
number)?
2
48
c. At 95% confidence, what is the margin of error (to 1 decimal)?
d. What is the 95% confidence interval for the difference between the two population means (to 1
decimal and enter negative value as negative number)?
a. The point estimate of the difference between the two population means is calculated as:
Point estimate = x1 - x2 = 22.1 - 20.5 = 1.6 (rounded to 1 decimal).
b. The degrees of freedom for the t distribution can be calculated as:
df ≈ 48.1
c. The margin of error for a 95% confidence interval can be calculated as:
≈ 1.1 (rounded to 1 decimal).
d. We can be 95% confident that the true difference between the two population means is between -0.5 and 3.7
a. The point estimate of the difference between the two population means is calculated as:
Point estimate = x1 - x2 = 22.1 - 20.5 = 1.6 (rounded to 1 decimal).
b. The degrees of freedom for the t distribution can be calculated as:
\(df = (s1^2/n1 + s2^2/n2)^2 / [(s1^2/n1)^2 / (n1 - 1) + (s2^2/n2)^2 / (n2 - 1)]= (2.8^2/20 + 4.8^2/40)^2 / [(2.8^2/20)^2 / 19 + (4.8^2/40)^2 / 39]≈ 48.1\)
Rounding down to the previous whole number, the degrees of freedom is 48.
c. The margin of error for a 95% confidence interval can be calculated as:
Margin of error \(= t(α/2, df) * √[s1^2/n1 + s2^2/n2]\)
\(= t(0.025, 48) * \sqrt{ [2.8^2/20 + 4.8^2/40] }\)
≈ 1.1 (rounded to 1 decimal)
d. The 95% confidence interval for the difference between the two population means can be calculated as:
CI = (x1 - x2) ± margin of error
= 1.6 ± 1.1
= (-0.5, 3.7)
Therefore, we can be 95% confident that the true difference between the two population means is between -0.5 and 3.7.
Since the interval includes 0, we cannot conclude with this data that the means are significantly different.
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hi I just need help on b thank you ASAP
Answer:
Step-by-step explanation:
a number increased by 7 given 20
Answer:
13
Step-by-step explanation:
Given: Q = 7m 3n, R = 11 - 2m, S = n 5, and T = -m - 3n 8. Simplify R - S T. M - 2n - 2 -3m - 4n 14 3m - 4n 14 -m 2n - 2.
To solve the algebraic expression, add or subtract the variables with same power of variable.
The result of the given problem after simplifying is,
\(y=7m+n-6\)
How to write algebraic expression?Algebraic expression are the expression which consist the variables, coefficients of variables and constants.
The algebraic expression are used represent the general problem in the mathematical way to solve them.
To solve the algebraic expression, add or subtract the variables with same power of variable.
Given information-
The given numbers are,
\(Q=7m+3n\\R=11-2m\\S=n+5\\T=-3-3n\)
All the four number given in the form of unknown number \(m\) and \(n\).
The result, need to be find is,
\(R-S+T+M\)
Let the result of above expression is \(y\). Thus,
\(y=R-S+T+M\)
Put the values to solve it further,
\(y=(7m+3n)-(11-2m)+(n+5)+(-m-3n)\)
Solve it further by open the bracket as,
\(y=7m+3n-11+2m+n+5-m-3n\\y=7m+2m-m+3n+n-3n-11+5\\y=7m+n-6\)
Hence the result of the given problem after simplifying is,
\(y=7m+n-6\)
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write the equation in spherical coordinates. (a) 5z2 = 6x2 + 6y2
In spherical coordinates, the equation \(5z^2 = 6x^2 + 6y^2\) can be written as: \(ρ^2sin^2(φ) = 6ρ^2sin^2(θ)cos^2(φ) + 6ρ^2sin^2(θ)sin^2(φ)\)
What is Spherical coordinates?Spherical coordinates are a system of coordinates used to represent points in three-dimensional space. In this coordinate system, a point is described by three parameters: ρ (rho), θ (theta), and φ (phi).
ρ (rho) represents the radial distance from the origin to the point.
θ (theta) represents the azimuthal angle, which is the angle measured in the xy-plane from the positive x-axis to the line connecting the origin and the point.
φ (phi) represents the polar angle, which is the angle measured from the positive z-axis to the line connecting the origin and the point.
In spherical coordinates, a point in 3D space is represented using three parameters: ρ (rho), θ (theta), and φ (phi).
ρ (rho) represents the radial distance from the origin to the point.
θ (theta) represents the azimuthal angle, which is the angle measured in the xy-plane from the positive x-axis to the line connecting the origin and the point.
φ (phi) represents the polar angle, which is the angle measured from the positive z-axis to the line connecting the origin and the point.
To express the equation\(5z^2 = 6x^2 + 6y^2\)in spherical coordinates, we need to convert the variables x, y, and z to their corresponding spherical coordinate representations.
In spherical coordinates, the conversions are as follows:
x = ρsin(φ)cos(θ)
y = ρsin(φ)sin(θ)
z = ρcos(φ)
Substituting these values into the equation, we have:
5(ρcos(φ))^2 = 6(ρsin(φ)cos(θ))^2 + 6(ρsin(φ)sin(θ))^2
Simplifying the equation further by expanding the terms and using trigonometric identities, we can obtain the equation in spherical coordinates:
\(ρ^2sin^2(φ) = 6ρ^2sin^2(θ)cos^2(φ) + 6ρ^2sin^2(θ)sin^2(φ)\)
This equation relates the variables ρ, θ, and φ in spherical coordinates and represents the same relationship as the original equation in Cartesian coordinates.
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help me pleaseeeeeeeee
Answer:
x = 25 degrees
Step-by-step explanation:
the angle for a straight line is 180, so add 125 and 30 together, which gets 155. then subtract 155 from 180 which gets 25 degrees as x
20 POINTS!!DUE TODAY NEED HELP NOW!!!!!!!!
Use this information to answer questions 3, 2, and 5. Other than (1, 0), (0, 1), (-1, 0), and (0, -1), the coordinates used in the previous question involved approximations. The point (0.8, 0.6), however, lies exactly on the unit circle.
What relationships or patterns do you notice in the coordinates?
3. Explain why this must be true.
5. What are the approximate angle measures needed to intersect at (0.8, 0.6) and each of these new points?
4. List all other points on the unit circle that also like exactly at the intersection of two grid lines.
This is true because coordinates (0.8, 0.6) satisfy the equation x² + y² = 1.
The approximate angle measures needed to intersect at (0.8, 0.6) and each of these new points is 38.66 degrees.
Other points on the unit circle are (0.6, 0.8), (-0.8, 0.6), (-0.6, -0.8), and (0.8, -0.6).
How to determine coordinates on a unit circle?The coordinates (0.8, 0.6) lie exactly on the unit circle because they satisfy the equation x² + y² = 1, which defines the unit circle. Plugging in x = 0.8 and y = 0.6 gives 0.8² + 0.6² = 1, which is true.
To find the angle measure needed to intersect at (0.8, 0.6) and each of the new points, we can use the inverse tangent function. If we let theta be the angle between the positive x-axis and the line connecting the origin and the point of intersection, then we can use the equation tan(theta) = y/x to find the angle. For example, to find the angle needed to intersect at (0.8, 0.6) and (1, 1), we have tan(theta) = 0.6/0.8, which simplifies to theta = arctan(0.6/0.8) ≈ 38.66 degrees.
The other points on the unit circle that also lie exactly at the intersection of two grid lines are (0.6, 0.8), (-0.8, 0.6), (-0.6, -0.8), and (0.8, -0.6). These points can be obtained by reflecting (0.8, 0.6) across the x-axis, y-axis, or both.
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