Answer:
the third one
Step-by-step explanation:
The line passes through the point
Expand the expression (3a-b)^4
Answer:
81 a 4 − 108 a 3 b+ 54 a 2 b 2 − 12 a b 3 + b 4
Step-by-step explanation:
hope i helped
Hen interpreting f (7, 31) = 4.78, p > 0.05. How many subjects were tested in this simple one-way anova?
39 subjects were tested in this simple one-way ANOVA.
The df for F distribution is (treatment df, error df)
Using given information
Treatment df = 7
Error df = 31
Total df= 7+31 = 38
Again, total df = N-1, N= number of subjects tested
Then, N-1 = 38
=> N= 39
One-way ANOVA is typically used when there is a single independent variable or factor and the goal is to see whether variation or different levels of that factor have a measurable effect on the dependent variable.
The t-test is a method of determining whether two populations are statistically different from each other, and ANOVA determines whether three or more populations are statistically different from each other.
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You are graphing rectangle ABCDABCDA, B, C, D in the coordinate plane. The following are three of the vertices of the rectangle: A(-7, -2), B(3, -2),A(−7,−2),B(3,−2),A, left parenthesis, minus, 7, comma, minus, 2, right parenthesis, comma, B, left parenthesis, 3, comma, minus, 2, right parenthesis, comma and C(3,-5)C(3,−5)C, left parenthesis, 3, comma, minus, 5, right parenthesis.
What are the coordinates of point DDD?
Answer:
5 units
Step-by-step explanation:
The graph, the coordinates of point D is (-7, -5).
The given coordinates of the rectangle ABCD are A(−7, -2), B(3, -2) and C(3, −5).
We need to find the coordinates of point D.
How to plot the coordinates on the cartesian plane?A cartesian plane can be defined as a plane formed by the intersection of two coordinate axes that are perpendicular to each other. The horizontal axis is called the x-axis and the vertical one is the y-axis. These axes intersect with each other at the origin whose location is given as (0, 0). Any point on the cartesian plane is represented in the form of (x, y). Here, x is the distance of the point from the y-axis and y is the distance from the x-axis.
Now, plot A(−7, -2), B(3, -2) and C(3, −5) on cartesian plane.
The coordinates are plotted on the graph, shown below.
From the graph, the coordinates of point D is (-7, -5).
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not enough INFO sas sss
\(\huge \bf༆ Answer ༄\)
The given triangles are similar by ~
\( \textsf{SSS criteria }\)Gavin has 10 identical US coins in his pocket. The total value of the coins in cents is represented by 10 X. What does the variable X represent?
The variable X represent the value of one coin.
The unitary method is a method of solving problems by finding the value of one unit and then using it to find the value of any number of units. In this problem, we can use the unitary method to find the value of X.
We know that 10 coins have a total value of 10X cents. Therefore, the value of one coin is X cents. To find the value of 2 coins, we can use the unitary method as follows:
Value of 2 coins = 2 * X cents
Similarly, we can find the value of any number of coins using the unitary method.
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Suppose an economy has the following equations:
C =100 + 0.8Yd;
TA = 25 + 0.25Y;
TR = 50;
I = 400 – 10i;
G = 200;
L = Y – 100i;
M/P = 500
Calculate the equilibrium level of income, interest rate, consumption, investments and budget surplus.
Suppose G increases by 100. Find the new values for the investments and budget surplus. Find the crowding out effect that results from the increase in G
Assume that the increase of G by 100 is accompanied by an increase of M/P by 100. What is the equilibrium level of Y and r? What is the crowding out effect in this case? Why?
Expert Answer
The equilibrium level of income (Y), interest rate (i), consumption (C), investments (I), and budget surplus can be calculated using the given equations and information. When G increases by 100, the new values for investments and budget surplus can be determined. The crowding out effect resulting from the increase in G can also be evaluated. Additionally, if the increase in G is accompanied by an increase in M/P by 100, the equilibrium level of Y and r, as well as the crowding out effect, can be determined and explained.
How can we calculate the equilibrium level of income, interest rate, consumption, investments, and budget surplus in an economy, and analyze the crowding out effect?To calculate the equilibrium level of income (Y), we set the total income (Y) equal to total expenditures (C + I + G), solve the equation, and find the value of Y that satisfies it. Similarly, the equilibrium interest rate (i) can be determined by equating the demand for money (L) with the money supply (M/P). Consumption (C), investments (I), and budget surplus can be calculated using the respective equations provided.
When G increases by 100, we can recalculate the new values for investments and budget surplus by substituting the updated value of G into the equation. The crowding out effect can be assessed by comparing the initial and new values of investments.
If the increase in G is accompanied by an increase in M/P by 100, the equilibrium level of Y and r can be calculated by simultaneously solving the equations for total income (Y) and the interest rate (i). The crowding out effect in this case refers to the reduction in investments resulting from the increase in government spending (G) and its impact on the interest rate (r), which influences private sector investment decisions.
Overall, by analyzing the given equations and their relationships, we can determine the equilibrium levels of various economic variables, evaluate the effects of changes in government spending, and understand the concept of crowding out.
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What is 9 plus 10???
Answer:
21
Here’s legitimate proof that 9+10=21
(9 + 10) (base x) = 21 (base y)
9(1) + [1(x) + 0(1)] = 2(y) + 1
Simplify and solve for y:
2y = 8 + x
y = 4 + x/2
Since we have number bases, we want x and y to be positive integers. The term x/2 requires that x be a positive even number.
Also since 9 is in base x, we have x ≥ 10, as the digit 9 would not be used for a base 9 or smaller.
Thus we have the pairs of solutions:
x = 10, so y = 9
x = 12, so y = 10
x = 14, so y = 12
…
x, y = 4 + x/2 … Therefore 9+10=21!
Determine whether the given value is a sample statistic or a population parameter. A researcher examines the records of all the registered voters in one city and finds that 43% are registered Democrats. Group of answer choices
Answer: Population parameter
Step-by-step explanation: The parameter can be defined as a numerical value used to describe an entire population. The population describes all the entire values or members belonging to a particular group. Hence, numerical values which are used to explain the characteristic of the population is called the population parameter. Sample statistics on the other hand are numerical values associated statistical properties of a sample which is a subset of a certain population.
In the instance given above, 43% represents the population parameter which describes the percentage number of Democratic voters out of the entire population of voters in the city.
Suppose you have an outdoor vegetable garden with dimensions 2 mx2 m. A storm lasting 1 hr delivers 0.8 inches of rain. a. What is the storm rainfall flux? Express your answer using each of the following units: m 2
hr
kgliquid water m 2
hr
lb liquid water m 2
hr
liters liquid water m 2
hr
gallons liquid water b. How much liquid water fell on your garden? Express your answer using each of the following units:
The storm rainfall flux is 0.00127 m2/hr, 1.27 kg liquid water/m2hr, 2.8 lb liquid water/m2hr, 1.27 liters liquid water/m2hr, and 0.335 gallons liquid water/m2hr. The amount of liquid water fell on the garden is 80.6 L, 21.3 gallons.
Dimensions of outdoor vegetable garden = 2 m × 2 m
Storm rainfall = 0.8 inches of rain
Time of storm = 1 hr(
a) The rainfall flux is the amount of rainfall per unit area and unit time. It is given as:
Rainfall flux = (Amount of rainfall) / (Area × Time)
Given the area of the garden is 2 m × 2 m, and the time is 1 hr, the rainfall flux is:
Rainfall flux = (0.8 inches of rain) / (2 m × 2 m × 1 hr)
Converting inches to meters, we get:
1 inch = 0.0254 m
Therefore,
Rainfall flux = (0.8 × 0.0254 m) / (2 m × 2 m × 1 hr) = 0.00127 m/hr
Converting the rainfall flux to other units:
In kg/hr:
1 kg of water = 1000 g of water
Density of water = 1000 kg/m3
So, 1 m3 of water = 1000 kg of water
So, 1 m2 of water of depth 1 m = 1000 kg of water
Therefore, 1 m2 of water of depth 1 mm = 1 kg of water
Therefore, the rainfall flux in kg/hr = (0.00127 m/hr) × (1000 kg/m3) = 1.27 kg/m2hr
In lbs/hr:
1 lb of water = 453.592 g of water
So, the rainfall flux in lbs/hr = (0.00127 m/hr) × (1000 kg/m3) × (2.20462 lb/kg) = 2.8 lbs/m2hr
In liters/hr:
1 m3 of water = 1000 L of water
So, 1 m2 of water of depth 1 mm = 1 L of water
Therefore, the rainfall flux in L/hr = (0.00127 m/hr) × (1000 L/m3) = 1.27 L/m2hr
In gallons/hr:
1 gallon = 3.78541 L
So, the rainfall flux in gallons/hr = (0.00127 m/hr) × (1000 L/m3) × (1 gallon/3.78541 L) = 0.335 gallons/m2hr
(b) To calculate the amount of water that fell on the garden, we need to calculate the volume of water.
Volume = Area × Depth.
The area of the garden is 2 m × 2 m.
We need to convert the rainfall amount to meters.
1 inch = 0.0254 m
Therefore, 0.8 inches of rain = 0.8 × 0.0254 m = 0.02032 m
Volume of water = Area × Depth = (2 m × 2 m) × 0.02032 m = 0.0806 m3
Converting the volume to other units:
In liters:
1 m3 of water = 1000 L of water
Therefore, the volume of water in liters = 0.0806 m3 × 1000 L/m3 = 80.6 L
In gallons:
1 gallon = 3.78541 L
Therefore, the volume of water in gallons = 80.6 L / 3.78541 L/gallon = 21.3 gallons.
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A boat heading out to sea starts out at Point
�
A, at a horizontal distance of 1159 feet from a lighthouse/the shore. From that point, the boat’s crew measures the angle of elevation to the lighthouse’s beacon-light from that point to be 16
∘
∘
. At some later time, the crew measures the angle of elevation from point
�
B to be 8
∘
∘
. Find the distance from point
�
A to point
�
B. Round your answer to the nearest foot if necessary.
The distance from point A to point B is approximately 310 feet.
We have,
Let's denote the distance from point A to the lighthouse as d and the distance from point B to the lighthouse as x.
We can set up two right triangles, one with an angle of elevation of 16 degrees and the other with an angle of elevation of 8 degrees,
In the first triangle,
We can use the tangent function to find the height h of the lighthouse above the level of the sea:
tan(16 degrees) = h / d
h = d x tan(16 degrees)
In the second triangle,
We can use the same function to find the height of the lighthouse above the level of the sea at point B:
tan(8 degrees) = h / (d + x)
h = (d + x) x tan(8 degrees)
Since the height of the lighthouse above the level of the sea is the same in both triangles, we can set the two expressions for h equal to each other and solve for x:
d x tan(16 degrees) = (d + x) x tan(8 degrees)
Expanding and rearranging, we get:
x = d x (tan(8 degrees) / tan(16 degrees) - 1)
Plugging in the values, we get:
x = 1159 x (tan(8 degrees) / tan(16 degrees) - 1) ≈ 310.4 feet
Therefore,
The distance from point A to point B is approximately 310 feet.
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Consider the circle C of radius 8, centered at the origin. a. Find a parametrization for C inducing a counterclockwise orientation and starting at (8, 0). c(t) = ?, 0 ≤ t ≤ 2π b. Find a parametrization for C inducing a clockwise orientation and starting at (0, 8).
c(t) = ?, 0 ≤ t ≤ 2π c. Find a parametrization for C if it is now centered at the point (2, 4). c(t) = ?, 0 ≤ t ≤ 2π
The parametrization for C inducing a counterclockwise orientation and starting at (8, 0) is c(t) (8cos, 8sin) 0 ≤ t ≤ 2π, the parametrization for C inducing a clockwise orientation and starting at (0, 8) is c(t) (8cos, 8sin) 0 ≤ t ≤ 2π and parametrization for C if it is now centered at the point (2, 4) is C(t) = (4+ 8 cos, 2+ 8 Sin), 0 ≤ t ≤ 2π
The circle C of radius 8, centered at the origin, parametrization for C inducing a counterclockwise orientation and starting at (8, 0). c(t) :0 ≤ t ≤ 2π,
a) equation of the circle is x² + y² = 64.
starting point it (80) and orientation Counterclockwise.
c(t) (8cos, 8sin) 0 ≤ t ≤ 2π
b) Starting point is (0,8) and orientation is clockwise
c(t) (8cos, 8sin) 0 ≤ t ≤ 2π
c) equation of circle is (x-4)²+ (4-2)² - 64
For counterclockwise orientation
C(t) = (4+ 8 cos, 2+ 8 Sin), 0 ≤ t ≤ 2π
Therefore, the parametrization for C inducing a counterclockwise orientation and starting at (8, 0) is c(t) (8cos, 8sin) 0 ≤ t ≤ 2π, the parametrization for C inducing a clockwise orientation and starting at (0, 8) is c(t) (8cos, 8sin) 0 ≤ t ≤ 2π and parametrization for C if it is now centered at the point (2, 4) is C(t) = (4+ 8 cos, 2+ 8 Sin), 0 ≤ t ≤ 2π
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please help me this is due soon!! ill mark brainiest :))
i also need a reason why please!!
Answer:
b
Step-by-step explanation:
One square = (2/5)/(3) Invert and multiply the 3
2 1
== == =
5 3
2/15
5 squares = 5 * 2/15 = 10 / 15 = 2/3
Simplify the equation by combining the like terms:
5x+3m+4x
Answer: 9x + 3m
Step-by-step explanation:
5x + 3m + 4x
=> 9x + 3m
Answer:
5x + 4x = 9x so 9x + 3m would be your expression
describe and sketch the surface in r^3 represented by the equation x^2 z^2=9
The equation given results in a cylinder with radius 3 as shown in the attached sketch.
How to solve three dimensional domains?An equation involving three variables can be represented as a three-dimensional domain. For those involving only two variables, we can use our knowledge of the plane equations to get an idea of what the surface will look like.
Represented by the equation x² + z² = 9
We observe that there is no y term, and as such y can be any value.
x² + z² = 9 is a circle in the xz plane with a radius of 3
We are then "pushing this along the y-axis, resulting in a cylinder with radius 3.
The sketch of the surface is as shown in the attached file.
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La raíz cuadrada de un número más la raíz cuadrada de ese número incrementado 600 unidades es igual a 30. ¿Cuál es el número?
The required Number is 81,225.
What is Algebra?A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.
Variables are the name given to these symbols because they lack set values.
In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.
Given:
let the number be x
So, the equation can be written as
√x + √(x + 600)= 30
2√x = -570
√x = -285
Taking Square on both side we get
x = 81225
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The Question attached here is in other language whose translation is
The square root of a number plus the square root of that number increased by 600 units equals 30. What is the number?
Find the value of 'x', round to 4 decimal places.
The value of x is 14.7224.
What are trigonometric identities?There are three commonly used trigonometric identities.
Sin x = 1/ cosec x
Cos x = 1/ sec x
Tan x = 1/ cot x or sin x / cos x
Cot x = cos x / sin x
We have,
Sin 60° = x/17 ____(1)
Sin 60° = √3/2 _____(2)
From (1) and (2) we get,
√3/2 = x/17
x = 17√3/2
x = 17 x 1.73205 / 2
x = 14.7224
Thus,
The value of x is 14.7224.
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Keith rented a truck for one day. There was a base fee of 20.99, and there was an additional charge of 87 cents for each mile driven. Keith had to pay 182.81 when he returned the truck. For how many miles did he drive the truck?
Answer: 186 miles
Step-by-step explanation: 1. 182.81-20.99=161.82 2. 161.82/0.87=186
please help I have no idea what to do
Answer:
2p^2 - 1p - 8 GCF= 2p
Step-by-step explanation:
The GCF of the following equation can be written as 2p.
So with this information, we can solve the equation.
2p^2 - 1p - 8
Let me know if I am correct.
7
Oliver makes a plan to be healthier, starting with exercising more often. He signs up for a karate class, thinking this will be a cool way to get active.After three weeks, Oliver finds himself dreading karate class. He would much rather stay home and play RPG with his friends. Since Oliver has already made the decision, what is the BEST path for him to take?
It a because i told the tese
2x - 5 < 9. What is de answer
Answer:
7 :D
Step-by-step explanation:
Lets go step by step!
When we do something to one side, we must do it to the other!
2x - 5 < 9
2x - 5 + 5 < 9 + 5
2x < 14
2x/2 < 14/2
x < 7
Your answer is 7 :D
Have an amazing day!
Please rate and mark brainliest!
Answer:
x=7
Step-by-step explanation: Okay so,
2x−5=9
First, you take the 5 and add it to the 9:
2x=9+5=
2x=14
Then you divide 2x by 2 and what you do to one side you do to the other, so you also divide 14 by 2:
2x/2=14/2=
x=7
Hope this helps!
Write an exponential function to model the following situation.
a population of 140,000 grows 5% per year for 15 years.
how much will the popluation be after 15 years?
write an exponential function in terms of x.
An exponential function in terms of x is \(P(x) = 140,000(1.05)^x\)
The population would be 291049.95 after 15 years.
How to determine the population after a number of year?In Mathematics, a population that increases at a specific period of time represent an exponential growth. This ultimately implies that, a mathematical model for any population that increases by r percent per unit of time is an exponential function of this form:
\(P(x) = I(1 + r)^x\)
Where:
P(t ) represent the population.x represent the time or number of years.I represent the initial number of persons.r represent the exponential growth rate.By substituting given parameters, we have the following:
\(P(x) = 140,000(1 + 0.05)^x\\\\P(x) = 140,000(1.05)^x\)
After 15 years, we have:
\(P(15) = 140,000(1.05)^{15}\)
P(15) = 291049.95 units.
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need help with this one
Number of solutions for the given linear quadratic equation y = x² and
y = 2x+ b is equal to 2.
b. As we change the value of b solution of the linear system of equation get modify. For example b = 0 it passes through origin.
As given in the question,
Given linear quadratic equations are:
y = x² and
y = 2x+ b
⇒ x² = 2x + b
⇒ x² -2x -b = 0
Number of solutions depends on :
Discriminant 'D' = b² -4ac
Here a = 1 , b = -2 , c= -b
D = (-2)² - 4(1)(-b)
= 4 + 4b
If D > 0 there are two real solutions.
If D = 0 there is only one solution.
If D < 0 there is no solution.
Value of D depends on the value of 'b' .
Linear quadratic equation has two solutions if D > 0.
Graph is attached for the given quadratic equations.
Therefore, number of solutions for the given linear quadratic equation y = x² and y = 2x+ b is equal to 2.
b. As we change the value of b solution of the linear system of equation get modify. For example b = 0 it passes through origin.
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A cylinder has a volume of 400 cubic feet. If the height of the cylinder is 25 feet, what is the radius of the cylinder? Use 3.14 for π and round to the nearest hundredth.
Answer:
2.26 feet
Step-by-step explanation:
400/25=16
16/3.14=5.0955
5.0955^2=2.257
What is the slope of the line?
Answer:
Slope: 3
Step-by-step explanation:
find 2 points on the line and do rise/run which would get 3/1 which is 3
simplify the expression
X - 4(3x + 2) + 8
Answer:
-11x
Step-by-step explanation:
X-4(3x+2)+8
multiply both 3x and 2
X-12x-8+8
x-12x
11x
Edward deposited $6,000 into a savings account 5 years ago. The simple interest rate is 4%. How much money did Edward earn in interest? Need answer in under 10 minutes
Answer:
,..................... 6000*12*5 %4 =630
Answer:
6240
Step-by-step explanation:
It's it 6,000+4% it's = 6240
find the following measures of dispersion for the data below: 17 14 1 10 0 9 1 14 11 5 7 12 3 6 15 8 13 6 19 12 18 12 20 12 0 sorted data (list data with commas separating values)
Dispersion is a measure of how spread out a set of data values is. For the given data, I'll calculate three common measures of dispersion: range, variance, and standard deviation.
Sorted data: 0, 0, 1, 1, 3, 5, 6, 6, 7, 8, 9, 10, 11, 12, 12, 12, 12, 13, 14, 14, 15, 17, 18, 19, 20
1. Range: The range is the difference between the highest and lowest values in the dataset. In this case, the range is 20 (highest value) - 0 (lowest value) = 20.
2. Variance: Variance is the average of the squared differences between each data point and the mean of the dataset. First, calculate the mean (sum of values / number of values) which is 233/25 = 9.32. Next, find the squared differences between each data point and the mean, and then average these squared differences. The variance for this dataset is approximately 34.93.
3. Standard Deviation: The standard deviation is the square root of the variance. In this case, the standard deviation is approximately √34.93 ≈ 5.91.
In summary, the range for the given data is 20, the variance is approximately 34.93, and the standard deviation is approximately 5.91. These measures of dispersion provide insights into the variability of the data.
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Im not exactly understanding this question. Can someone please help me and possibly explain this to me?
Answer:
From the graph, when x=-6, y=1
so, your answer is A) f(x)=∛(x-6)+1
OAmalOHopeO
The distance between Lincoln, NE, and Boulder, CO, is about 500 miles. The distance between Boulder, CO, and a third city is 200 miles.
A map of the United notes.
Assuming the three cities make a triangle on the map, which values represent the possible distance, d, in miles, between Lincoln, NE, and the third city?
< d
The values that represent the possible distance, d, in miles, between Lincoln, NE, and the third city are given as follows:
300 < d < 699.
When does a set of three measurements can represent a triangle?A set of measurements can represent a triangle if the sum of the two smaller measurements is greater than the greater measures.
The measurements for this problem are given as follows:
500 miles.200 miles.x miles.Then if 500 miles is the largest distance, we have that:
x can be between 300 and 500.
If x is the largest distance, we have that:
x can be between 501 and 699.
Then the range of possible distances is given as follows:
300 < d < 699.
(which are the distances for each case).
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Answer:
see picture
Step-by-step explanation:
You have $7.45. You buy 8 items that cost $0.83 each. How much money do you have left
Answer:
$0.81
Step-by-step explanation:
left
\(7.45-8(0.83)=7.45-6.64=0.81\)
I hope I have helped you