Answer:
what is the question
Step-by-step explanation:
Factor the following expression:
2/3x - 8
Answer:
2/3 (x-12)
Step-by-step explanation:
2/3x-8
2/3(x-3x4)
2/3(x-12)
Need help, pls!!!
ty!
The graph of this function will behave as (b) A graph of this function would slope downward, starting from a price of $100 dollars because the rate of change is less than 0 and the initial value is -10.
The demand function is given by d = 100 - 10p. This means that the quantity demanded (d) decreases as the price (p) increases.
The slope of the demand function is the rate of change of the quantity demanded with respect to the price. In this case, the slope is -10, which is negative. This indicates that as the price increases, the quantity demanded decreases.
The initial value of the demand function is 100, which represents the quantity demanded when the price is zero. This means that the demand function intersects the y-axis at (0, 100).
Therefore, the correct answer is (b) A graph of this function would slope downward, starting from a price of $100 dollars because the rate of change is less than 0 and the initial value is -10.
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Sandra worked to earn 5433.35. If she worked for 28 hours, how much money does Sandra earn per hour? 5
Blank 1:
Answer:
$194.05 per hour
Step-by-step explanation:
Divide her total earnings by 28:
5433.35/28
= approximately 194.05
So, Sandra earns about $194.05 per hour
Six times the sum of a number and 8 is 30
Answer:
The sum is -3
Step-by-step explanation:
6(sum+8)=30
=6sum+48=30
=6sum=-18
=Sum=-3
I NEED HELP PLEASE, THANKS! :)
Answer:
see below
Step-by-step explanation:
The coefficients are 19Cr for r from 0 to 19, as shown in the first and last choices. The sum of the powers of the factors is 19, as shown in the first and last choices. The only difference between the first and last choices is the order of terms in the sum. Both have the same total, and both are equivalent expansions of the given expression.
If you prefer the higher powers of m to appear first, then the last choice is appropriate.
Dillon says that 4b and -2b are not like terms
because 4b is positive and -2b is negative. Is he
correct? Explain.
Amy is a years old.
Zack is 7 years older than Amy.
Using a, write an expression for Zack's age.
Answer:
x + 7
Step-by-step explanation:
amy is unknown x + 7 equals zack
PLEASE PLEASE help me
Answer:
I couldn't fit it all in one photo but here you go!
solve the equation
a) y''-2y'-3y= e^4x
b) y''+y'-2y=3x*e^x
c) y"-9y'+20y=(x^2)*(e^4x)
Answer:
a) To solve the differential equation y''-2y'-3y= e^4x, we first find the characteristic equation:
r^2 - 2r - 3 = 0
Factoring, we get:
(r - 3)(r + 1) = 0
So the roots are r = 3 and r = -1.
The general solution to the homogeneous equation y'' - 2y' - 3y = 0 is:
y_h = c1e^3x + c2e^(-x)
To find the particular solution, we use the method of undetermined coefficients. Since e^4x is a solution to the homogeneous equation, we try a particular solution of the form:
y_p = Ae^4x
Taking the first and second derivatives of y_p, we get:
y_p' = 4Ae^4x
y_p'' = 16Ae^4x
Substituting these into the original differential equation, we get:
16Ae^4x - 8Ae^4x - 3Ae^4x = e^4x
Simplifying, we get:
5Ae^4x = e^4x
So:
A = 1/5
Therefore, the particular solution is:
y_p = (1/5)*e^4x
The general solution to the non-homogeneous equation is:
y = y_h + y_p
y = c1e^3x + c2e^(-x) + (1/5)*e^4x
b) To solve the differential equation y'' + y' - 2y = 3xe^x, we first find the characteristic equation:
r^2 + r - 2 = 0
Factoring, we get:
(r + 2)(r - 1) = 0
So the roots are r = -2 and r = 1.
The general solution to the homogeneous equation y'' + y' - 2y = 0 is:
y_h = c1e^(-2x) + c2e^x
To find the particular solution, we use the method of undetermined coefficients. Since 3xe^x is a solution to the homogeneous equation, we try a particular solution of the form:
y_p = (Ax + B)e^x
Taking the first and second derivatives of y_p, we get:
y_p' = Ae^x + (Ax + B)e^x
y_p'' = 2Ae^x + (Ax + B)e^x
Substituting these into the original differential equation, we get:
2Ae^x + (Ax + B)e^x + Ae^x + (Ax + B)e^x - 2(Ax + B)e^x = 3xe^x
Simplifying, we get:
3Ae^x = 3xe^x
So:
A = 1
Therefore, the particular solution is:
y_p = (x + B)e^x
Taking the derivative of y_p, we get:
y_p' = (x + 2 + B)e^x
Substituting back into the original differential equation, we get:
(x + 2 + B)e^x + (x + B)e^x - 2(x + B)e^x = 3xe^x
Simplifying, we get:
-xe^x - Be^x = 0
So:
B = -x
Therefore, the particular solution is:
y_p = xe^x
The general solution to the non-homogeneous equation is:
y = y_h + y_p
y = c1e^(-2x) + c2e^x + xe^x
c) To solve the differential equation y" - 9y' + 20y = x^2*e^4x, we first find the characteristic equation:
r^2 - 9r + 20 = 0
Factoring, we get:
(r - 5)(r - 4) = 0
So the roots are r = 5 and r = 4.
The general solution to the homogeneous equation y" - 9y' + 20y = 0 is:
y_h = c1e^4x + c2e^5x
To find the particular solution, we use the method of undetermined coefficients. Since x^2*e^4x is a solution to the homogeneous equation, we try a particular solution of the form:
y_p = (Ax^2 + Bx + C)e^4x
Taking the first and second derivatives of y_p, we get:
y_p' = (2Ax + B)e^4x + 4Axe^4x
y_p'' = 2Ae^4x +
Please help fast!!!!!!!
Answer: 156.38 m
Step-by-step explanation:
Using the arc length formula, the answer is \(2\pi(8^2) \cdot \frac{140}{360} \approx 156.38\)
Find each trig ratio.
Answer:
a) 12/13
b) 5/13
Step-by-step explanation:
sin k = 12/13
cos k = 5/13
PLZ HELP MEEEEEEEEEEEEEEEEEE
Answer:
c
Step-by-step explanation:
its makes most sense
Answer:
c. because i look it ☝ done plzzz help me
Circle A has been transformed to Circle B.
What is the scale factor of Circle A to Circle B?
Scale Factor
=
Image Radius
Pre- Image Radius
Answer: 21
Step-by-step explanation: im not guessing im a certified expert at calculus and have a masters degree in mathmatics so yeah
Answer:
21
Step-by-step explanation:
I did the test
Hope this helps :)
Find the limit of the difference quotients for f(x) = x2+2x+1 if a= -1
The limit of the difference quotients for f(x) = x^2 + 2x + 1 as x approaches -1 is indeterminate.
To find the limit of the difference quotients for the function f(x) = x^2 + 2x + 1 as x approaches -1, we need to evaluate the following expression:
lim(x→-1) [f(x) - f(-1)] / (x - (-1))
First, let's substitute the values into the expression:
lim(x→-1) \([(x^2 + 2x + 1) - (-1^2 + 2(-1) + 1)] / (x + 1)\)
Simplifying further:
lim(x→-1) \([(x^2 + 2x + 1) - (1 - 2 + 1)] / (x + 1)\)
lim(x→-1)\([x^2 + 2x + 1 - 0] / (x + 1)\)
lim(x→-1) \((x^2 + 2x + 1) / (x + 1)\)
Now, we can directly substitute x = -1 into the expression:
\((-1^2 + 2(-1) + 1) / (-1 + 1)\)
(1 - 2 + 1) / (0)
0 / 0
We have obtained an indeterminate form of 0/0. This indicates that we need to further simplify the expression or use other techniques, such as L'Hôpital's rule, to evaluate the limit. However, without additional information or simplification, we cannot determine the precise value of the limit at x = -1.
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fill in the missing number to complete the linear equation that gives the rule for this table
The missing number to complete the linear equation is 89 and the equation that gives the rule for this table is; y = x + 89
How to write the equation of a line in slope intercept form?The equation of a line in slope intercept form is expressed as;
y = mx + c
where;
m is slope
c is y-intercept which is the point at which x = 0
From the table given, we see the coordinates as;
(1, 90), (2, 91), (3, 92), (4, 93)
Thus, we can easily say that the coordinate that precedes (1, 90) must be (0, 89)
Thus, the y-intercept is 89 and since the slope is 1, the equation of the line is; y = x + 89
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Question 7 (1 point)
Anna wanted to bake cookies for Luke's birthday party. The recipe required 4 cups of
flour for every 1 cup of sugar. If Anna used 4 cups of sugar, how much flour did she
use?
(you may want to make a tape diagram to help solve for the answer)
20 cups of flour
4 cups of flour
16 cups of flour
Answer:
16 cups of flour
Step-by-step explanation:
step 1 - cups of flour-4, cups of sugar -4
therefore, multiply 4 and 4
= 4x4 =16
so she used 16 cups of flours
HAVE A GREAT DAY!
A certain type of kickboard scooter comes in silver, red, 2
or purple with wheel sizes of 125 millimeters or 180
millimeters. Determine the total number of color-wheel size combinations.
(This is probability and I’m having such a hell of a time figuring it out pls help)
There are a total of 8 color-wheel size combinations for the kickboard scooter. This means that customers have 8 different options to choose from when selecting the color and wheel size for their scooter.
To determine the total number of color-wheel size combinations for the kickboard scooter, we need to multiply the number of color options by the number of wheel size options.
Given that there are 4 color options (silver, red, blue, and purple) and 2 wheel size options (125mm and 180mm), we can use the multiplication principle to find the total number of combinations:
Total combinations = Number of color options × Number of wheel size options
Total combinations = 4 colors × 2 wheel sizes
Total combinations = 8
There are a total of 8 color-wheel size combinations for the kickboard scooter. This means that customers have 8 different options to choose from when selecting the color and wheel size for their scooter.
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Mai has proven that triangle WYZ is congruent to triangle WYX using the Side-Side-Side Triangle Congruence Theorem. Since corresponding parts of
congruent triangles are congruent, angle ZWY is congruent to angle XWY and angle ZYW is congruent to angle XYW.
True or False: Mai can now conclude that diagonal WY bisects angles ZWX and ZYX.
True
O False
It is true, Mai can conclude that the diagonal WY bisects the angles ZWX and ZYX
Since Mai has proven triangles WYZ and WYX to be congruent by the SSS triangle Congruence Theorem, she can conclude that:
Diagonal WY bisects angles ZWX and ZYX because:
all corresponding parts of both triangles are congruent. (Option A).
If two triangles are proven to be congruent to each other, it means that all three pairs of corresponding sides and angles of both triangles are congruent and equal to each other.
Thus, since Mai has proven triangles WYZ and WYX to be congruent by the SSS Triangle Congruence Theorem, therefore, all corresponding parts of both triangles are congruent.
If this is so, then Mai can conclude that angles ZWX and ZYX are bisected by diagonal WY. (Option A is correct).
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A direct variation includes the points (2,18) and (n,9). Find n?
The value of the n is 1
In a direct variation, the relationship between two variables is of the form y = kx, where k is a constant of proportionality.
To find the constant of proportionality k in this problem, we can use the fact that the given points satisfy the equation for direct variation.
(2,18) is one of the given points, so we can substitute these values into the equation y = kx and solve for k:
18 = k(2)
k = 18/2
k = 9
Now that we have found the value of k, we can use it to find n when y = 9:
9 = 9n
n = 1
Therefore, the value of n is 1.
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a Find the total surface area of a cuboid with dimensions 4cm × 3cm × 2cm.
B)If the length of the cube, 4cm, is doubled, what is the new surface area of the cuboid?
Answer:
24 millimeters B) Area of one side= 4*4
=16
Total number of faces= 6
Then total area= area of one side* number of sides
=16*6
=96 square cm
Step-by-step explanation:
just explain how this is "Reflexive Property" (30 points)!!
The Reflexive Property is a property of equality that states that anything is equal to itself. This property is true for numbers, shapes, angles, and more.
In the context of geometry, the Reflexive Property of Congruence states that any geometric figure is congruent to itself. This includes angles, segments, triangles, and other polygons.
So, when you see "<J ≅ <J", it's saying that angle J is congruent to angle J, which is an application of the Reflexive Property. In other words, any angle is congruent (equal in measure) to itself.
What are the new coordinates if the figure were rotated 90 degrees counterclockwise
Answer:
third option
Step-by-step explanation:
under a counterclockwise rotation of 90° about the origin
a point (x, y ) → (y, - x )
Then
A (- 1, - 2 ) → (- 2, - (- 1) ) → (- 2, 1 )
B (2, - 2 ) → (- 2, - 2 )
C (1, - 4 ) → (- 4, - 1 )
The new coordinates are (d) A = (2, -1) B = (2, 2) and C = (4, 1)
How to determine the new coordinates rotating by 90 degrees counterclockwiseFrom the question, we have the following parameters that can be used in our computation:
The figure,
Where, we have
A = (-1, -2)
B = (2, -2)
C = (1, -4)
The rule of 90 degrees counterclockwise is
(x, y) = (-y, x)
Using the above as a guide, we have the following:
A = (2, -1)
B = (2, 2)
C = (4, 1)
Hence, the new coordinates are (d) A = (2, -1) B = (2, 2) and C = (4, 1)
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A dressmaker needs to cut 9-inch pieces of ribbon from rolls of ribbon that are 9 feet in length. How many 9-inch pieces can the dressmaker cut from 10 of these rolls of ribbon?
Before you try that problem, answer the question below.
How many \textbf{inches}inches of ribbon does the dressmaker have, in total?
Answer: 12
Step-by-step explanation:
There are 108 inches in 9 feet and then you divide 108 by 9
Pls help me with this math equation
For F(x)=3x+4 and g(x)= x^2-3x, find g(f(x)).
Answer:
g(f(x)) = 9x² + 15x + 4
Step-by-step explanation:
Given :
⇒ f(x) = 3x + 4
⇒ g(x) = x² - 3x
=============================================================
Solving :
⇒ g(f(x))
⇒ g(3x + 4) = (3x + 4)² - 3(3x + 4)
⇒ g(3x + 4) = (3x)² + 2(3x)(4) + (4)² - 9x - 12
⇒ g(3x + 4) = 9x² + 24x + 16 - 9x - 12
⇒ g(f(x)) = 9x² + 15x + 4
Determine if the equation given in slope-intercept form represents the graph. If the equation is correct support your reasoning with why it is correct. If the equation is incorrect, give the correct slope-intercept form equation explaining how you determined it.
The equation of the line would be y = (4/5)x + 4 which in slope-intercept form represents the graph.
The graph is given in the question.
As per the given line, we take two points (0, 4) and (5, 8)
Let the required line would be y - y₁ = (y₂ - y₁)/(x₂ -x₁ )[x -x₁]
x₁ = 0, y₁ = 4
x₂ = 5, y₂ = 8
⇒ y - y₁ = (y₂ - y₁)/(x₂ -x₁ )[x -x₁]
Substitute values in the equation, we get
⇒ y - 4 = (8 - 4)/(5-0 )[x -0]
⇒ y - 4 = (4/5)x
⇒ y = (4/5)x + 4
The given equation of the line y = 4x + 5 is incorrect because its slope is not correct.
So, the equation of the line would be y = (4/5)x + 4.
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Is this relation a function? Justify your answer
Answer:
D
Step-by-step explanation:
To see if a set order of points is a function, you have to do the vertical line test. If there are two points on the same x-axis, like (2,3) and (2,6), then it isn't a function. Although, if there are two points on the same y-axis, like (2,5) and (4,5), then yes, it is a function.
-hope it helps
Select all solutions to the equation (2x-4)(x+5)=0
The solutions of the equation given as (2x - 4)(x + 5) = 0 are x = 2 or x = -5
What are equations?Equations are mathematical expressions that have the same value when compared
How to determine the solutions?From the question, we have the following equation that can be used in our computation:
(2x - 4)(x + 5) = 0
To start with:
We start by splitting the equation
So, we have the following representation
(2x - 4) = 0 or (x + 5) = 0
Next, we remove the brackets
So, we have the following representation
2x - 4 = 0 or x + 5 = 0
Next, we isolate the variables
This is done as follows
2x = 4 or x = -5
Divide both sides by the coefficient of the variable
This gives
x = 2 or x = -5
Hence, the solutions to the equation are x = 2 or x = -5
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Sarah predicted that she could text 80 words
per minute on her phone. However, she only
texted 52 words per minute. What was Sarah's
percent error?
Prediction Actual |
| Actual |
Round to the nearest percent.
Hint: Percent error =
-
x 100
Answer:
20
Step-by-step explanation:
percentage error = predictions - actual ÷actual × 100
error
\( \frac{82 - 52 \\ }{52} \times 100\)
=
20
Which of the following is true about the t-distribution? Assume a reference (random) sample of size 100 with sample mean 10 and sample standard deviation of 1 with unknown population mean and variance.
a. The t-distribution will look similar to the standard normal distribution as the sample size increases which results in the degrees of freedom increasing.
b. The t-distribution will look similar to the standard normal distribution as the sample size increases which results in the degrees of freedom decreasing.
c. The t-distribution will look similar to the normal distribution with mean 10 and standard deviation 1 as the sample size increases which results in the degrees of freedom decreasing.
d. The t-distribution will look similar to the normal distribution with mean 10 and standard deviation 1 as the sample size increases which results in the degrees of freedom increasing.
e. None of these
1000 times were added to the n=30 sample. Even with n=30, the sample variance distribution is still very biased.
What is probability ?Probability refers to possibility.
A random event's occurrence is the subject of this area of mathematics. The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events.
The degree to which something is likely to happen is basically what probability means.
You will understand the potential outcomes for a random experiment using this fundamental theory of probability, which is also applied to the probability distribution.
Knowing the total number of outcomes is necessary before we can calculate the likelihood that a specific event will occur.
According to our question-
The sample variance's variance (SD) is still very large. The range is from 20 to 30%.
Because we are utilizing estimated population variance rather than the genuine population variance, which has some degree of uncertainty, the e t distribution has a longer tail when degrees of freedom are limited. Given that the estimated population variance is nearer to the actual population variance when sample size = 30, the t distribution will be closer to the z distribution.
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I need help with this question
Using the concept of the or operation, the solution of the given inequality, which is x < 73 or x > 80, in the number line is given at the graph in the end of the answer.
What is the result of the or operation between sets?The or operation between sets has as a result all the elements that belong to at least one of the sets.
For this problem, considering that everyone either scored above 80% or below 73%, and that we represent the grades as x, we have two inequalities:
x > 80, which is composed by the numbers to the right of x = 80.x < 73, which is composed by the numbers to the left of x = 73.We have open intervals because as stated in the problem, no one scored exactly 73 or 80.
The or operation will involve both the numbers to the left of x = 73 and the numbers to the right of x = 80 being plotted on the number line, as shown in the graph at the end of the answer.
The grades cannot assume negative values, hence only negative values are not plotted.
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