A linear model is that it represents a constant Rate of change between the two variables.
1) A linear model is a mathematical representation of a relationship between two variables that forms a straight line when graphed. The equation of a linear model is typically of the form y = mx + b, where y represents the dependent variable, x represents the independent variable, m represents the slope of the line, and b represents the y-intercept. The slope (m) determines the steepness of the line, and the y-intercept (b) represents the point where the line intersects the y-axis.
2) An exponential model is a mathematical representation of a relationship between two variables where one variable grows or decays exponentially with respect to the other. The equation of an exponential model is typically of the form y = a * b^x, where y represents the dependent variable, x represents the independent variable, a represents the initial value or starting point, and b represents the growth or decay factor. The growth or decay factor (b) determines the rate at which the variable changes, and the initial value (a) represents the value of the dependent variable when the independent variable is zero.
3) The defining characteristic of a linear model is that it represents a constant rate of change between the two variables. In other words, as the independent variable increases or decreases by a certain amount, the dependent variable changes by a consistent amount determined by the slope. This results in a straight line when the data points are plotted on a graph.
4) The defining characteristic of an exponential model is that it represents a constant multiplicative rate of change between the two variables. As the independent variable increases or decreases by a certain amount, the dependent variable changes by a consistent multiple determined by the growth or decay factor. This leads to a curve that either grows exponentially or decays exponentially, depending on the value of the growth or decay factor.
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Which of the following could be the equation of a parallel to the line y=4?
•y=0
•y=4
•undefined
•y=4x
Answer:
y = 0 is parallel to y= 4 ..plz mark my answer as brainlist plzzzz if correct
y= 0 is parallel to y=4
I think it will help you.
write 2x+5/x + 3/x+3 as a single fraction to it's simplest form
oky oky oky oky oky oky
sana makatulonh
D Calculate the value of the error with one decimal place for: Z= # where x = 5.9 +/-0.5 and y = 2.1 +/- 0.2 Please enter the answer without +/- sign. 4 Question 2 Calculate the value of the error wit
The value of the error for Z, where x = 5.9 +/- 0.5 and y = 2.1 +/- 0.2, with one decimal place is 4.
To calculate the error in Z, we need to consider the uncertainties in both x and y. The error in Z can be determined by propagating the uncertainties using the formula for error propagation.
In this case, Z is given by the equation Z = x/y. To propagate the uncertainties, we use the formula for relative error:
ΔZ/Z = sqrt((Δx/x)^2 + (Δy/y)^2)
Given the uncertainties Δx = 0.5 and Δy = 0.2, and the values x = 5.9 and y = 2.1, we substitute these values into the formula:
ΔZ/Z = sqrt((0.5/5.9)^2 + (0.2/2.1)^2) = sqrt(0.0089 + 0.0181) ≈ 0.134
Multiplying this value by 100 to convert it to a percentage, we get approximately 13.4%. Rounding to one decimal place, the value of the error is 4.
Therefore, the value of the error for Z, with one decimal place, is 4.
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Mrs.Lopez has two kinds of flowers in her garden. The ratio of lilies to daisies in the garden is 5:3. If there are 10 lilies, what is the total number of flowers in her garden?
Answer:
16
Step-by-step explanation:
Answer:
16
Step-by-step explanation:
6) Find the measure of ZBEC
A) 10°
B) 60
C) 80°
D) 100
1. analyze data presented
It is not d because it is not greater than 80 degrees
it is not a because it is clearly not 10 degrees
making system of equations
8x+(4x+60)=180
addition
12x+60=180
move sixty to the other side
12x=120
division
x=10
Angle BEC=*x, so 8x=80
Answer: 80 degrees
Which linear function has the steepest slope?
Answer:
the graph... it's slope is |2| and the chart is |1|
the absolute values are there because the questions only says "how steep"
not the direction
Step-by-step explanation:
The area of a rhombus whose diagonals are 9cm and 7cm is
CAN ANYONE ANSWER THIS ??
Answer:
63/2
Step-by-step explanation:
area D1*D2/2= 9*7/2= 63/2
if my answer helps please mark as brainliest.
the regular price of base ball cleats is 80 dollars if the cleats are on sale for 45% off, then what is the value of the discount in dollars?
Answer:
$36
Step-by-step explanation:
If the cleats were on sale for 45% off, that means they were 55% "on." Therefore, you have to multiply 80 by 0.55* to get how much they cost.
80 x 0.55 is 44.
To get the value of the discount, you subtract 44 from 80, which is 36.
The cleats sold for $44, and there was a $36 discount.
*you multiply by 0.55 because it is 55 percent. Percent means "per every hundred." That's why you have to divide 55 by 100 to get 0.55.
An alternate way to solve this is to multiply 80 by 55 and then divide the result by 100, but you'll still get 44.
true or false: the line that intersect the curve at (8, p(8)) represents the secant line to the curve at (8, p(8))
The line that intersects the curve at (8, p(8)) represents the secant line to the curve at that point. The statement is true.
A straight line that crosses a curve at two or more points is known as a secant line. The given point (8, p(8)) in this instance is on the curve and the line. As a result, the secant line to the curve at that point is the line that intersects the curve at (8, p(8)).
Let's think of an example to help further clarify this idea. Let's say we wish to locate the secant line to a curve at the point (8, p(8)) where the equation \(y = x^2\) defines the curve.
We must first determine the secant line's slope. The following formula determines the slope of a line via the points (x1, y1) and (x2, y2):
slope= (y2 - y1) / (x2 - x1).
The two points in this case are the curve's second point and (8, p(8)). We can select a different point on the curve, such as (4, p(4)), to get the slope.
slope = (p(4)-p(8)) / (4 - 8)
Next, we evaluate the function at these points:
\(p(4) = 4^2 = 16\\p(8) = 8^2 = 64\)
Substituting these values into the slope formula:
slope = (16 - 64) / (4 - 8)
= -48 / -4
= 12
Now that we have the slope, we can write the equation of the secant line using the point-slope form:
y - y1 = m(x - x1)
Substituting the values (8, p(8)) and slope = 12 into the equation:
y - p(8) = 12(x - 8)
Simplifying the equation:
y - p(8) = 12x - 96
This is the equation of the secant line to the curve at the point (8, p(8)).
In conclusion, the statement is true. The line that intersects the curve at (8, p(8)) represents the secant line to the curve at that point.
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the scale factor of two similar triangles prisms is 3:5. the volume of the larger prism is 175in^3. what is the volume of the smaller prism
The volume of the smaller prism is 37.8 in³. The result is obtained by using the ratio of corresponding volumes of two similar prisms.
How to find the volume of smaller prism with the scale factor?When two similar prisms or pyramids have a scale factor of L, the ratio of corresponding areas is L² and the ratio of corresponding volumes is L³.
The scale factor of two similar triangles prisms is 3 : 5. The volume of the larger prism is 175 in³. Find the volume of the smaller prism!
We have L = 3 : 5.
The ratio of corresponding volumes is
= L³
= (3/5)³
= 27/125
The smaller prism is
= (27/125) × 175 in³
= (27/5) × 7 in³
= 37.8 in³
Hence, the volume of the smaller triangles prisms is 37.8 in³.
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How do I find the indicated value for this problem?
Answer:
t_n =a +(n-1)d
t_100 = 2+ (100-1)6
= 2+99× 6
= 2 +594
= 596
Help!!
What is the relationship between the corresponding angle bisectors BD and XZ?
Answer:
XZ = 2.5 BD
Step-by-step explanation:
Comparing the two triangles,
\(\frac{BD}{BC}\) = \(\frac{XZ}{XY}\)
\(\frac{6}{8}\) = \(\frac{XZ}{20}\)
⇒ XZ = \(\frac{20*6}{8}\)
= 15
XZ = 15
So that,
BD:XZ = 6:15
= 1:2.5
Therefore, the relationship between BD and XZ is XZ = 2.5 BD.
Logan owns a trucking company. For every truck that goes out, Logan must pay the
driver $16 per hour of driving and also has an expense of $1.25 per mile driven for
gas and maintenance. On one particular day, the driver drove an average of 20 miles
per hour and Logan's total expenses for the driver, gas and truck maintenance were
$205. Write a system of equations that could be used to determine the number of
hours the driver worked and the number of miles the truck drove. Define the
variables that you use to write the system.
Answer:
Let's define the variables:
h: the number of hours the driver worked.
d: the number of miles the truck drove.
We know that the driver is paid $16 per hour, so the cost of the driver's labor is:
16h
We also know that the truck incurs an expense of $1.25 per mile driven, so the cost of gas and maintenance is:
1.25d
The total expenses for the driver, gas, and maintenance were $205, so we can set up the following equation:
16h + 1.25d = 205
We also know that the average speed of the truck was 20 miles per hour, so we can set up the following equation:
d = 20h
So the system of equations that could be used to determine the number of hours the driver worked and the number of miles the truck drove is:
16h + 1.25d = 205
d = 20h
These two equations can be solved simultaneously to find the values of h and d that satisfy both equations.
Simplify fully12xy24xy
Answer:
288xy
Step-by-step explanation:
First, you multiply 12 by 24 and you get 288. Next, you can't forget the variables, so you add those to the end and get, 288xy.
Describe the shape of the distribution.
A. It is symmetric.
B. It is uniform.
C. It is bimodal.
D. It is skewed.
Problem B: Raising a number in Scientific Notation to a Power
According to Guinness World Records, the largest Rubik's cube in the world is 2.022*10^2 centimeters on each
side. What is the volume of this cube? Write your answer in scientific notation. (v=s^3)
Answer: Roughly 8.267*10^6 cubic centimeters
The more accurate answer is 8.266914648*10^6 cubic centimeters
==================================================
Work Shown:
\(s = 2.022*10^2\\\\v = s^3\\\\v = (2.022*10^2)^3\\\\v = (2.022)^3*(10^2)^3\\\\v = 8.266914648*10^{2*3}\\\\v = 8.266914648*10^6\\\\v \approx 8.267*10^6\\\\\)
I rounded to three decimal places because the 2.022 is to three decimal places. Round however you need. Or you can choose to leave the number unrounded.
The number 8.267*10^6 is 8,267,000 which is a little over 8.2 million.
The units for the volume are in cubic centimeters, which we can abbreviate as cm^3 or \(\text{cm}^3\)
Note that the value \(8.267*10^6\) is in the form \(A*10^b\) where \(0 \le A < 10\), which means this number is in scientific notation form.
Point L is on line segment KM. Given LM = 3x + 3, KM = 5x + 4, and
KL = 5x + 1, determine the numerical length of KM.
Answer:
\(KM = 4\)
Step-by-step explanation:
Given
\(LM = 3x + 3\)
\(KM = 5x + 4\)
\(KL = 5x + 1\)
Required
Determine KM
The relationship between the given parameters is:
\(KM = KL + LM\)
Substitute the values of KM, KL and LM
\(5x + 4 = 5x + 1 + 3x + 3\)
Collect Like Terms
\(5x - 5x - 3x = 1 + 3 - 4\)
\(-3x = 0\)
Divide through by -3
\(x = 0\)
Substitute 0 for x in \(KM = 5x + 4\)
\(KM = 5 *0 + 4\)
\(KM = 0 + 4\)
\(KM = 4\)
Answer:
98
Step-by-step explanation:
Instructions: State what additional information is required in
order to know that the triangles in the image below are
congruent for the reason given. Reason: SSS Postulate
Additional information is required in order to know that the triangles in the image below are congruent is that VW ≅ UB.
Two triangles are said to be congruent if their corresponding sides and angles are equal.
SSS stands for the Side-Side-Side criterion. According to this, two triangles are congruent if three sides of a triangle are equal to the corresponding sides of the other triangle.
The lines with two tickmarks are equal in length, indicating that the segments are congruent i.e. UV = WB
And WU is the common side
For triangles to be congruent VW should be equals to UB. So, that we could use SSS to show the congruence of the triangles.
Hence, additional information is required in order to know that the triangles in the image below are congruent is that VW ≅ UB.
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Given question is incomplete, the complete question is below
Instructions: State what additional information is required in order to know that the triangles in the image below are congruent for the reason given.
Reason: SSS Postulate
Approximate the sum of the series correct to four decimal places. [infinity] (−1)n 5nn! n = 1
To approximate the sum of the series [infinity] (−1)n 5n/(n!), we can use the alternating series test. To approximate the sum, we can calculate the partial sums and stop when the terms become insignificant.
1. The alternating series test states that if a series (-1)n an is such that the absolute value of the terms decrease and tend to zero as n approaches infinity, then the series converges.
2. In this series, the terms (-1)n 5n/(n!) decrease as n increases because the factorial term in the denominator grows faster than the exponential term in the numerator.
3. Therefore, we can conclude that the series converges.
The sum of the series [infinity] (-1)n 5n/(n!) converges.
To approximate the sum, we can calculate the partial sums and stop when the terms become insignificant.
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Parametric statistics could be used to analyze which of the following dependent variables (select all correct answers).
Grams of iron in a meal
Students' zip codes
Minutes spent on this test
Type of favorite cookie
Snacks eaten in a week
Job titles
The correct answers are: Grams of iron in a meal, Minutes spent on this test, Snacks eaten in a week
Parametric statistics could be used to analyze the following dependent variables:
Grams of iron in a meal: Parametric statistics can be used to analyze continuous numerical variables, such as the amount of iron in a meal, by assuming a specific distribution (e.g., normal distribution) and using techniques like t-tests, ANOVA, or regression.
Minutes spent on this test: Similarly, parametric statistics can be applied to analyze continuous numerical variables like the time spent on a test. Techniques such as t-tests or regression can be used to compare groups or explore relationships between variables.
Snacks eaten in a week: Parametric statistics can also be used for analyzing count data, such as the number of snacks eaten in a week. Techniques like Poisson regression or negative binomial regression can be used to model and analyze count data.
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Use completing the square to transform this equation into vertex form. Please state the coordinate of the vertex. X^2-8x-19=0
Answer:
(4 , - 35)
Step-by-step explanation:
X²-8x-19 =(x-4)² -35
y = a (x-h)² + k a=1 , (h , k) -> (4 , - 35)
How is adding 0.267 to 50.9 different from adding 0.26 to 50.9
Answer:
Step-by-step explanation:
They are different numbers:
0.269 + 50.9 = 51.169
0.26 + 50.9 = 51.16
helpppppppppppppppppppppppppppppppppppppp!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Tim typed a 46-word paragraph in 3/4 of a minute. What is his typing speed per minute?
Given f(x)= 11x^3+4x^2-2x+3 G(x)= 3x^3+6x^2-10x+8 find: I) f(x)- 2G(x) ii) 2f(x)+3G(x) iii) 1/2f(x)+ G(x)
A function is a mathematical relation between two sets of values that assigns a unique output to each given input.
What is a function?
A function in mathematics from a set X to a set Y allocates precisely one element of Y to each element of X. The sets X and Y are collectively referred to as the function's domain and codomain, respectively. Initially, functions represented the idealized relationship between two changing quantities.
I) f(x)- 2G(x) = 5x³-8x²+18x-13
II) 2f(x)+3G(x) = 31x³+26x²-34x+30
III) 1/2f(x)+ G(x) = 17/2x³+8x²-12x19/2
Here, we have
f(x)= 11x³+4x²-2x+3, G(x)= 3x³+6x²-10x+8
We have to find I) f(x)- 2G(x), ii) 2f(x)+3G(x), iii) 1/2f(x)+ G(x)
I) f(x)- 2G(x) = 11x³+4x²-2x+3 -2(3x³+6x²-10x+8 )
= 11x³+4x²-2x+3 - 6x³-12x²+20x-16
= 5x³-8x²+18x-13
Hence, the value of f(x)- 2G(x) is 5x³-8x²+18x-13.
II) 2f(x)+3G(x) = 2(11x³+4x²-2x+3)+3(3x³+6x²-10x+8 )
= 22x³+8x²-4x+6+9x³+18x²-30x+24
= 31x³+26x²-34x+30
Hence, the value of 2f(x)+3G(x) is 31x³+26x²-34x+30.
III) 1/2f(x)+ G(x) = 1/2(11x³+4x²-2x+3) + (3x³+6x²-10x+8)
= 11/2x³+2x²-2x+3/2+3x³+6x²-10x+8
= 17/2x³+8x²-12x19/2
Hence, the value of 1/2f(x)+ G(x) is 17/2x³+8x²-12x19/2.
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the graph of y=f(x) is shown below. what are all of the real solutions of f(x)=0
All real solutions of the function y=f(x) are x = -4 and x = 4
What is a solution ?Suppose that we've a function y = f(x) such that f(x) is quadratic.
When y = 0, then the values of x for which f(x) = 0 is called solution of quadratic equation f(x) = 0. These solution gives values of x, and when we plot x and f(x), we'd see that the graph intersects the x-axis at its solution points.
we are Given graph in the attachment represents the function y = f(x)
Since Real solutions of the function shows all the points where the curve of the graph either touches or crosses the x-axis.
Thus the graph of the function touches and crosses at x = -4 and x = 4
Therefore, all real solutions of the function y=f(x) are x = -4 and x = 4
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Need assistance this is very hard. PLEASE HELP I will give brainliest
(Gave the wrong amount of points last time)
Part A:
2/3 in the box above the dark squares
2/8 in the box to the left of the dark squares
Part B:
Product is 1/6
Step-by-step explanation:Part A 1st box:If you look at the rectangles below the top box. 2 of the 3 are shaded dark grey (so that box is 2/3).
Part A 2nd box:If you look at the rectangle to the right of the box on the left you will see 2 of the 8 rectangles are shaded dark grey (so that box is 2/8).
Part B:If you look at the entire rectangle, 2 of the 12 rectangles are shaded dark grey. 2/12 simplifies to 1/6 (so the product is 1/6).
I need help with this math question
Answer:
B. 5
Step-by-step explanation:
Step 1: Rewrite the equation a bit
\(\frac{7^\frac{3}{4}}{7^\frac{x}{8}}=\sqrt[8]{7}\\7^\frac{3}{4}^-^\frac{x}{8}=7^\frac{1}{8}\)
Step 2: Place a logarithm base 7 on both sides
\(7^\frac{3}{4}^-^\frac{x}{8}=7^\frac{1}{8}\\log_77^\frac{3}{4}^-^\frac{x}{8}=log_77^\frac{1}{8}\\(\frac{3}{4}-\frac{x}{8})log_77=\frac{1}{8}log_77\\(\frac{3}{4}-\frac{x}{8})1=\frac{1}{8}1\\\frac{3}{4}-\frac{x}{8}=\frac{1}{8}\)
Step 3: Solve for x
\(\frac{3}{4}-\frac{x}{8}=\frac{1}{8}\\\frac{6}{8}-\frac{x}{8}=\frac{1}{8}\\-\frac{x}{8}=-\frac{5}{8}\\\frac{x}{8}=\frac{5}{8}\\x=5\)
Neat exponent question :)
factor completely
8y²+6y+1
Please answer this question now in two minutes
Answer:
d is 5 units
Step-by-step explanation: