The estimated value of f(0.98,3.08) is 5.358
To find the differential of[tex]f(x,y) = \sqrt{(x^2 + y^3)}[/tex], we can use the formula for the differential:
df = (∂f/∂x) dx + (∂f/∂y) dy
where dx and dy are small changes in x and y, respectively.
Taking the partial derivatives of f(x,y) with respect to x and y, we have:
∂f/∂x = [tex]x\sqrt{(x^2 + y^3)}[/tex]
∂f/∂y = [tex](3/2)y^(1/3) / \sqrt{(x^2 + y^3)}[/tex]
Substituting x = 1 and y = 3, we get:
∂f/∂x (1,3) = 1/√28
∂f/∂y (1,3) = (3/2)(3(1/3))/√28
So the differential of f(x,y) at (1,3) is:
df = (1/√28) dx + (3/2)(3(1/3))/√28 dy
To estimate f(0.98,3.08), we need to find the values of dx and dy that correspond to a small change in x and y from (1,3) to (0.98,3.08). We have:
dx = 0.98 - 1 = -0.02
dy = 3.08 - 3 = 0.08
Substituting these values into the differential, we get:
df ≈ (1/√28) (-0.02) + (3/2)(3(1/3))/√28 (0.08)
≈ 0.0187
f(0.98,3.08) ≈ f(1,3) + df
≈ √28 + 0.0187
≈ 5.358
for such more question on estimated value
https://brainly.com/question/22008756
#SPJ11
What is the quotient StartFraction 15 p Superscript negative 4 Baseline q Superscript negative 6 Baseline Over negative 20 p Superscript negative 12 Baseline q Superscript negative 3 Baseline EndFraction in simplified form? Assume p not-equals 0, q not-equals 0.
Negative StartFraction 3 p Superscript 8 Baseline Over 4 q cubed EndFraction
Negative StartFraction 3 Over 4 p Superscript 16 Baseline q Superscript 9 Baseline EndFraction
Negative StartFraction p Superscript 8 Baseline Over 5 q cubed EndFraction
Negative StartFraction 1 Over 5 p Superscript 16 Baseline q Superscript 9 Baseline EndFraction
The quotient of the fraction is -3/4 * p²/q²
What is quotient?We should know that when a number is divided by another number, the result is the quotient of the number
We have to find the quotient of the following division, -3/4 * p²/q²
This implies that (15p⁻⁴q⁻⁶)/(-20p⁻¹²q⁻³)
Now, (15p⁻⁴q⁻⁶)/(-20p⁻¹²q⁻³) will give
3/4p[(⁻⁴(⁻¹²)]q²(⁻⁶-(⁻³)]
We know that all the terms in the expression are in product form, so we can treat them separately}
Hence we know the property of exponent as aˣ/aᵇ=a(ᵇ⁻ˣ]
Hence this implies that -3/4 * p⁶/q²
Learn more about quotient on https://brainly.com/question/16134410
#SPJ1
How do you factor polynomials with roots?
By setting y = 0 and factoring, we can determine the roots of other polynomial functions. Because there is only one value of x for which x - 3 = 0 and no values of x for which x2 + 3x + 9 = 0.
what are polynomials?A mathematical expression made up of coefficients and uncertainty that only makes use of additions, subtractions, multiplications, and positive integer powers of variables is known as a polynomial. The formula x2 4x + 7 denotes a single indeterminate x polynomial. An expression in mathematics known as a polynomial is made up of variables (also known as indeterminates) and coefficients that may be added, subtracted, multiplied, and raised to negative integer powers of non-variables. An algebraic statement with variables and coefficients is called a polynomial. An expression can only contain the operations addition, subtraction, multiplication, and non-negative integer exponents. Polynomials are the name for these expressions.
By setting y = 0 and factoring, we can determine the roots of other polynomial functions. Because there is only one value of x for which x - 3 = 0 and no values of x for which x2 + 3x + 9 = 0, the equation y = x3 -27 = (x - 3)(x2 +3x2 + 9) has only one root (x = 3). (the discriminant is negative).
To know more about polynomials visit:
https://brainly.com/question/11536910
#SPJ4
An Internet media and market research firm measured the amount of time an individual spends viewing a specific Webpage. The data in the accompanying table represent the amount of time, in seconds, a random sample of 40 surfers spent viewing a Webpage.
Create the graphical summary.
Write a sentence that describes the data. Write a sentence that describes the data. Choose the correct answer below.
O The distribution is bell shaped.
O The distribution is skewed right.
O The distribution is uniform.
O The distribution is skewed left.
The distribution of the data is skewed right, which means that the data is not evenly distributed across the range of values.
To calculate the skewness, we can use the formula Skewness = (Mean - Mode) / Standard Deviation. In this case, the mean is 599.2 seconds, the mode is 590 seconds, and the standard deviation is 110.88 seconds. Plugging these values into the formula, we get Skewness = (599.2 - 590) / 110.88 = 0.8094. This indicates that the data is skewed right, as the skewness is greater than 0. A right-skewed distribution typically occurs when the majority of data points are closer to the minimum value, while there are fewer data points near the maximum value. This can be seen in the graphical summary, where the majority of the data points are clustered around the lower end of the range and the tail extends to the right.
Learn more about distribution here:
https://brainly.com/question/29062095
#SPJ4
In Ms. Rickets’ math class, students made a “polygon path” that consists of regular polygons of 3, 4, 5, and 6 sides joined together as shown.
All the angles from the polygon path made by the students are;
∠1 = 96°
∠2 = 90°
∠3 = 162°
∠4 = 132°
∠5 = 60°
How up illustrate the polygon?The images of the polygon are missing and so i have attached them. From the attached image, we can see we have;
Triangle (3-sided polygon)
Square (4-sided polygon)
Pentagon (5-sided polygon)
Hexagon (6 sided polygon)
Now, we know that formula for external angle of a polygon with n sides is 360/n.
Thus, for the 6-sided polygon, the ∠5 = 360/6
∠5 = 60°
Since ∠4 is shared by the pentagon and hexagon, then;
∠4 = (360/5) + 60
∠4 = 72° + 60°
∠4 = 132°
Since ∠3 is shared by the square and pentagon, then;
∠3 = 90 + 72
∠3 = 162°
∠2 = 90° because external angles of a square = 360/4 = 90°
Learn more about polygon on:
https://brainly.com/question/1592456
#SPJ1
Alicia had $375 in her savings account. She withdraws $12 a week to buy lunch. Assuming she does not deposit any more money. Write a linear function to represent how much money (y) Alicia will have after x weeks. A y = 375 + 12x B y = 375 − 12x C x = 375 + 12y D x = 375 − 12y
please help with the question above.
Answer: D
Step-by-step explanation:
Describe the following transformation. Select all that apply
g(x) = -2(x + 5)
The transformation g(x) = -2(x + 5) is described as follows
vertical shift up 5 unitshorizontal shift left 5 unitsreflection over the y axisvertical stretch by a factor of 2What is transformation?Transformation is a term used in mathematics to refer to the movements made by objects.
Translation refers to a type of transformation that involve a linear movement.
The following movements are involved in translation
leftrightupdownhe left and right movements are on the horizontal direction controlled by the x coordinate. (x + 5) = horizontal shift left 5 units
While the up and down movements are on the vertical direction controlled by the y coordinate. k(x + 5) vertical shift up 5 units
multiplying the equation by a number greater than one leads to vertical stretch since it is a negative number this will be a reflection over the y axis
Learn more on translation:
https://brainly.com/question/29321966
#SPJ1
What are the 4 method of quadratic equation?
The four methods to solve quadratic equations are factorising, quadratic formula, graphing and completing the square.
Factorising is nothing but the method of equating the given equation to zero.
Quadratic formula method is by placing the coefficients of the given quadratic equation into the formula and obtaining the solutions.
Completing the square method is when a quadratic equation has a square term. We would once more have a linear equation if we could place two square terms on either side of the quality sign.
We can find the solution of a quadratic equation using a graph. Rearrange the equation so that one side corresponds to the graphed function. Plot this function and write y = the other side of the equation. To obtain the answers, draw vertical lines from the intersection spots down to the x-axis.
To know more about equations:
https://brainly.com/question/9172073
#SPJ4
On a negatively skewed curve, which of the following statements is true?
a. The mean, median, and mode is the same.
b. The mode is lower than the mean which is lower than the median.
c. The median is lower than the mode which is lower than the mean.
d. The mean is lower than the mode which is lower than the median.
e. The mean is lower than the median which is lower than the mode.
Answer:
The mean is lower than the median which is lower than the mode.
Step-by-step explanation:
8. The new United States needed a way to
borrow money for its government, its industrial
and its commercial activity.
development,
O True
O False
Answer:
Step-by-step explanation:
true
Answer: True.
Step-by-step explanation: The new United States needed a way to borrow money for its government, its industrial development, and its commercial activity.
If sarah can blow up three balloons in one minute , how long will it take her to blow up 21 balloons?
Sarah can blow 7 minutes to blow 21 balloons
What is the unitary method?The unitary method is a method in which you find the value of a unit and then the value of a required number of units.
Given here: Sarah can blow 3 balloons in 1 minute
Then unit rate of sarah is 3 balloons per minute
Thus the time she would take to blow 21 balloons is 21/3=7 minutes
Hence, Sarah can blow 7 minutes to blow 21 balloons
Learn more about the unitary method here:
https://brainly.com/question/22056199
#SPJ1
"Write an equation in slope-intercept form for the trend line that is drawn."
Answer:
y = - 3x--------------------------------
The line passes through the origin, therefore one point on the line is sufficient to determine the equation:
y = kx, is the form of this equationThe point on the line is (1, - 3), so the line is:
y = - 3xAnswer:
[tex]y=-3x[/tex]
Step-by-step explanation:
[tex]\boxed{\begin{minipage}{8cm}\underline{Slope Formula}\\\\Slope $(m)=\dfrac{y_2-y_1}{x_2-x_1}$\\\\where $(x_1,y_1)$ and $(x_2,y_2)$ are two points on the line.\\\end{minipage}}[/tex]
From inspection of the given graph, two points on the line are:
(1, -3)(2, -6)Substitute the two points into the slope formula to calculate the slope of the line:
[tex]\implies m=\dfrac{-6-(-3)}{2-1}=\dfrac{-3}{1}=-3[/tex]
[tex]\boxed{\begin{minipage}{5.8 cm}\underline{Point-slope form of a linear equation}\\\\$y-y_1=m(x-x_1)$\\\\where:\\ \phantom{ww}$\bullet$ $m$ is the slope. \\ \phantom{ww}$\bullet$ $(x_1,y_1)$ is a point on the line.\\\end{minipage}}[/tex]
Substitute the found slope and one of the points on the line into the point-slope formula:
[tex]\implies y-(-3)=-3(x-1)[/tex]
[tex]\implies y+3=-3x+3[/tex]
[tex]\implies y=-3x[/tex]
The perimeter of a rectangle is 172 feet. Find the length and width if the length is an integer and the width is 2 times the next consecutive integer.
The length of the rectangle is 28 feet, and the width is 58 feet.
How to find the length and width of the rectangle?We know that for a rectangle of length L and width W, the perimeter can be written as:
P = 2*(L + W)
Here we know that the perimeter is 172 ft, then we can write:
172 ft = 2*(L + W)
And we know that the length is an integer:
L = x
And the width is two times the next integer:
W = 2*(x + 1)
Then we can replace these two in the perimeter equation so we get:
172 = 2*(x + 2*(x + 1))
172 = 2*(x + 2x + 2)
172 = 6x + 4
172 - 4 = 6x
168 = 6x
168/6 = x
28 = x
So we have:
Length = x = 28 ft
Width = 2*(x + 1) = 2*(29) ft = 58ft
Learn more about perimeters:
https://brainly.com/question/24571594
#SPJ1
The the length and width of the rectangle are 43 feet and 129 feet
What is a perimeter?Perimeter is the distance round an object, The rectangle is a polygon that has four sides and some of its angles is equal to 360 degrees
The given parameters that will help us to find the values of the length and width of the rectangle are
Perimeter = 172
The length is an integer = 2
The width is 2 times the next consecutive integer = 2(3) = 6
The ratio of the sides of the rectangle is
W = 2/8 *172 = 43
Length = 6/8*172 = 129
Therefore length and the width of the rectangle are 43 feet and 129 feet
Learn more about perimeter of rectangles on https://brainly.com/question/29595517
#SPJ1
Jerry tarted doing it-up every day. The firt day he did 15 it-up. Every day after that he did 2 more it-up than he had done the previou day. Today Jerry did 33 it-up. Write an equation that could be olved to find the number of day Jerry ha been doing it-up, not counting the firt day
Jerry has been doing it-up for number of 10 days , not counting the first day.
n + 14 = 33
n = 19 days
We know that Jerry did 15 it-up on the first day and 33 it-up today. Therefore, we can subtract 15 from 33 to get the total number of it-up that Jerry did over the past few days.
33 - 15 = 18e
We know that Jerry did 2 more it-up each day, so we can divide 18 by 2 to get the number of days.
18 / 2 = 9
Finally, we need to add 1 to the result to account for the first day.
9 + 1 = 10 days
Jerry has been doing it-up for 10 days, not counting the first day.
Learn more about number here
https://brainly.com/question/10547079
#SPJ4
Please help I will give brainliest
Answer:
Rectangular
Step-by-step explanation:
I would be rectangular if you listened in class you would know.
Juan has a summer job delivering newspapers. He is paid $15 per hour and a $10 bonus when he completes his daily route.
If h represents the number of hours he works, which expression can be used to find out how much money Juan makes each day?
Use the origin as the center of dilation and the given scale factor to find the coordinates of the vertices of the image of the polygon.
K = 1/2
The vertices of the polygon in the graph have co-ordinates as J(6,3) K(2,3) L(2,-3) M(6,-3)
What are polygons?In geometry, a polygon is a plane figure that is described by a finite number of straight line segments connected to form a closed polygonal chain.
Given here: A polygon JKLM
From the graph we can observe the co-ordinates as J(6,3) K(2,3) L(2,-3) M(6,-3)
Hence, the vertices of the polygon in the graph have co-ordinates as J(6,3) K(2,3) L(2,-3) M(6,-3)
Learn more about polygons here:
https://brainly.com/question/24464711
#SPJ1
Find the coordinates of B! PLEASE
Answer:
C ( -1, 1)
Step-by-step explanation:
(5+x)/2= 2
x = -1
(-3+y)/2= -1
y= 1
At noon, a tank contains 5 in of water. After several hours, it contained 3 in of water. What is the percent decrease of water in the tank?
Answer: To calculate the percent decrease of water in the tank, we can use the following formula:
Percent decrease = (Initial value - Final value) / Initial value x 100%
In this case, the initial value of water in the tank is 5 inches and the final value is 3 inches. So, the percent decrease is:
(5 - 3) / 5 x 100% = 2 / 5 x 100% = 40%
So, the percent decrease of water in the tank is 40%.
Step-by-step explanation:
Rachna ha nickel, dime, and quarter in her piggy bank. She ha $4. 65 altogether. She ha three more quarter han dime and twice a mahy nickel a quarter. How many quarter doe Rachna have?
Rachel has 0.41 quarters that can be obtained using the equation Q + D + N = T.
We can start by using the following equation to find the number of quarters Rachel has: Q + D + N = T
Where Q is the number of quarters, D is the number of dimes, N is the number of nickels, and T is the total amount of money in dollars. We know that T is $4.65, and we know that Rachel has twice as many nickels as quarters, and three more quarters than dimes.
Let's assume that Rachel has x number of quarters
So we can write the above equation as:
x + (x+3) + 2x = 4.65
4x+3 = 4.65
4x = 1.65
x = 0.4125
Rachel has 0.4125 quarters, Which is not possible as it is a decimal. So we need to round it off to the nearest whole number.
Rachel has 0.4125 quarters which is equivalent to o.41 quarters.
Therefore, Rachel has 0.41 quarters that can be obtained using the equation Q + D + N = T.
To learn more about equations,
Visit; brainly.com/question/29657983
#SPJ4
a Ferris wheel has a radius of 65 ft what is the circumference of the circle ( this would be the distance traveled by a passenger in one full rotation of the Ferris wheel use pi equals 3
never mind it equals 390 ft because C= 2 x 3 x 65 witch equals 390 ft
The circumference of the Ferris is 408.2 ft.
What is the circumference?We know that the circumference can be described as the distance round the circle. We have to note that the radius of the feriis would be very important as we try to obtain the circumference of the ferris.
We can see that the radius of the Ferris as is clear from the question that we have here is 65 ft. When the circumference can be gotten from the use of;
C = 2πr
Where r = radius and C = circumference
Thus;
C = 2 * 3.14 * 65
C = 408.2 ft
Learn more about circumference:https://brainly.com/question/28757341
#SPJ1
Five times the difference of twice a number and three is twenty-five. What is the number?
The value of the number in the statement is 8
How to determine the value of the numberFrom the question, we have the following parameters that can be used in our computation:
A mathematical statement represented as
Five times the difference of twice a number and three is twenty-five
Represent the number with x
So, we have
Five times the difference of twice x and three is twenty-five
When represented as an equation, we have
5(x - 3) = 25
Divide both sides by 5
This gives
x - 3 = 5
Add 3 to both sides
x = 8
Hence, the number is 8
Read more about word problem at
https://brainly.com/question/1781657
#SPJ1
This is due tomorrow, please help!!
Answer:
x > -20/7
Step-by-step explanation:
[tex]\frac{2x-4+5x}{8} > -3[/tex]
multiply both sides by 8 to remove the denominator
2x-4+5x > -24
7x - 4 > -24
add 4 to both sides to isolate the variable and its coefficient
7x > -20
divide both sides by 7 to isolate x
x > -20/7
[tex]\huge\text{Hey there!}[/tex]
[tex]\mathsf{\dfrac{2x - 4 + 5x}{8} > -3}[/tex]
[tex]\mathsf{= \dfrac{7}{8}x - \dfrac{1}{2} > -3}[/tex]
[tex]\text{Add } \rm{\dfrac{1}{2}\text{ to both sides of the equation}[/tex]
[tex]\mathsf{\dfrac{7}{8}x - \dfrac{1}{2} + \dfrac{1}{2} > -3 + \dfrac{1}{2}}[/tex]
[tex]\text{Simplify it}[/tex]
[tex]\mathsf{\dfrac{7}{8}x > -3 + \dfrac{1}{2}}[/tex]
[tex]\mathsf{\dfrac{7}{8}x > - \dfrac{5}{2}}[/tex]
[tex]\text{Multiply }\rm{\dfrac{8}{7}\text{ to both sides of the equation}[/tex]
[tex]\mathsf{\dfrac{8}{7}\times\dfrac{7}{8}x > \dfrac{8}{7} \times - \dfrac{5}{2}}[/tex]
[tex]\text{Simplify it}[/tex]
[tex]\mathsf{x > \dfrac{8}{7}\times -\dfrac{5}{2}}[/tex]
[tex]\mathsf{x > \dfrac{8\times -5}{7\times 2}}[/tex]
[tex]\mathsf{x > \dfrac{-40}{14}}[/tex]
[tex]\mathsf{x > \dfrac{-40\div 2}{14\div2}}[/tex]
[tex]\mathsf{x > -\dfrac{20}{7}}[/tex]
[tex]\mathsf{x > -2 \dfrac{6}{7}}[/tex]
[tex]\huge\text{Therefore, your answer should be:}[/tex]
[tex]\huge\boxed{\mathsf{x > -\dfrac{20}{7} \ or \ \mathsf{x > -2 \dfrac{6}{7}}}}\huge\checkmark[/tex]
[tex]\textsf{It is an o.p.e.n circle shaded to the right}[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
PLEASE HELP! Matthew uses this scale model of a design he plans to paint on a wall. He uses the key 1 cm = 2.5 ft. One gallon of paint will cover 400 square feet of wall.
How many gallons of paint will Matthew use?
Enter your answer as decimal in the box.
Answer: Matthew will use 12.25 Gallons of Paint. (I'm not sure if I have the correct amount of cm so if you think/know it's a different amount, use the step by step explanation to figure it out. Good luck :D)
Step-by-step explanation: 28x2.5 = 70. 70 Feet to Square Feet = 4900 square feet. 4900 divided by 400 = 12.25.
What is horizontal line test answer?
The horizontal line test is a method used in mathematics to determine if a given function is one-to-one. A function is one-to-one if for every unique x-value, there is a unique y-value.
The horizontal line test is used to determine if a function is one-to-one by drawing a horizontal line through the graph of the function and seeing if the line intersects the graph at most once.
The horizontal line test is based on the idea that if a horizontal line intersects the graph of a function more than once, then there must be at least one pair of x-values that correspond to the same y-value.
This means that the function is not one-to-one and therefore, not invertible. A function that is not invertible is not a function in strict mathematical sense.
It's important to note that the horizontal line test can only be applied to functions that are defined on a closed interval or on all real numbers.
Also, It is only a sufficient condition, meaning that a function that passes the horizontal line test is one-to-one, but not all one-to-one function pass the horizontal line test.
In conclusion, the horizontal line test is a method used to determine if a given function is one-to-one by drawing a horizontal line through the graph of the function and seeing if the line intersects the graph at most once.
If it does, the function is one-to-one, if not, the function is not one-to-one and therefore not invertible. The test is only sufficient and should be used with caution.
Learn more about horizontal line test at
https://brainly.com/question/28583968
#SPJ4
What are the determinants for solving this linear system?
5x + 3y = 17
−8x − 3y = 9
The determinants for solving the linear system is given as follows:
|A| = 9.|Ax| = -78.|Ay| = 91.How to obtain the determinant of the matrices?The system of equations for this problem is defined as follows:
5x + 3y = 17−8x − 3y = 9The matrix A is composed by the coefficients of x and y, hence:
A = [5 3]
= [-8 -3]
The determinant of a 2 x 2 matrix is the multiplication of the principal diagonal subtracted by the multiplication of the secondary diagonal, hence:
|A| = 5 x (-3) - 3 x (-8)
|A| = -15 + 24
|A| = 9.
For the matrix Ax, the coefficients of x are replaced by the results of the equalities, hence:
Ax = [17 3]
= [9 - 3]
|Ax| = 17 x (-3) - 3 x 9
|Ax| = -51 - 27
|Ax| = -78.
For the matrix Ay, the coefficients of y are replaced by the results of the equalities, hence:
Ax = [5 17]
= [-8 -9]
|Ay| = 5 x (-9) + 17 x 8
|Ay| = 91.
More can be learned about the determinant of a matrix at https://brainly.com/question/4505228
#SPJ1
Select all the group of number that are ordered correctly from leat to greatet. 2,−4,6,−8
−13,−16,12,1
−110,0. 2,310,14
−112,−0. 75,−0. 25,112
−8,−34,−3,14
The correct group is 3rd. (Option C)
The groups of numbers that are ordered correctly from least to greatest are :
-13,−16,12,1
-110,0.2,310,14
-112,−0.75,−0.25,112
The first group has -13, -16, 12 and 1. -13 and -16 are the smallest numbers and 1 is the largest, so it is ordered incorrectly from least to greatest.
The second group has -110,0.2,310,14 and -110 is the smallest number and 310 is the largest, so it is ordered incorrectly from least to greatest.
The third group has -112, -0.75, -0.25 and 112. -112 is the smallest number and 112 is the largest, so it is ordered correctly from least to greatest.
The last group has -8,-34,-3,14 and -34 is the smallest number and 14 is the largest, so it is not ordered incorrectly from least to greatest.
Therefore, the correct group is 3rd. (Option C)
To learn more about ascending order,
Visit; brainly.com/question/20681445
#SPJ4
A^15 • a^4 is equal to a^n. What is n
Therefore , the solution of the given problem of expressions comes out to be n= 19.
Definition of expressionsAddition, subtraction, division, and the term multiply are examples of numerical computations that are possible. The words are arranged as follows: An equation, a calculator, and an integer or variable A mathematical expression is mainly composed of constants, numbers, and processes (such as additions, subtraction, multiplying, or dividing, etc.). Contradictory claims or expressions and variable are possible.
Here,
Given : a^15.a^4
to find a^n
thus,
=>a^15.a^4 = a^n
=> a^(15+4) = a^n
=> a^19 = a^n
So, on comparing above expression
We get ,
n= 19
thus , n=19 is the solution for this problem
Therefore , the solution of the given problem of expressions comes out to be n= 19.
To know more about expressions visit :-
brainly.com/question/14083225
#SPJ1
Convert this equation into standard form
The standard form of the linear function in this problem is given as follows:
-4x + 5y = -25.
How to convert the linear function in standard form?The linear function for this problem is defined in point-slope form as follows:
y + 1 = 4/5(x - 5).
To convert to standard form, we leave the coefficients of x and y on the left side and the constant on the right side, hence:
y + 1 = 4x/5 - 4.
-4x/5 + y = -5.
Multiplying everything by 5, we have that:
-4x + 5y = -25.
More can be learned about linear functions at https://brainly.com/question/24808124
#SPJ1
Match the reasons to the statements. ( 50 POINTS PER PERSON + BRAINLIEST )
[ Please look at the photos below! Must match ALL the statements to the reasons ]
Answer:
a) Reflexive Property => 7
b) Angle Congruence Postulate => 8
c) Definition of Supplementary => 4
d) Segment Addition Postulate => 5
e) Definition of Right Angle => 6
f) Symmetric Property => 11
g) Substitution Property of Equality => 2
h) Definition of Complementary => 1
i) Segment Congruence Postulate => 9
j) Angle Addition Postulate => 3
k) Linear Pair Postulate (maybe 10)
Step-by-step explanation:
Hope this helps and sorry for taking so long!
Determine the t critical value for a two-sided confidence interval in each of the following situations:
a. Confidence level = 95%, df = 10
b. Confidence level = 95%, df = 15
c. Confidence level = 99%, df = 15
d. Confidence level = 99%, n = 5
e. Confidence level =98%, df = 24
f. Confidence level = 99%, n = 38
The t critical value for a two-sided confidence interval in each of the following situations:
a. Confidence level = 95%, df = 10, t critical value = 1.812
b. Confidence level = 95%, df = 15, t critical value = 1.753
c. Confidence level = 99%, df = 15, t critical value = 2.602
d. Confidence level = 99%, n = 5, t critical value = 3.365
e. Confidence level = 98%, df = 24, t critical value = 2.306
f. Confidence level = 99%, n = 38, t critical value = 2.821
The t-critical value is a value that is used to determine the margin of error in a two-sided t-test with a given level of confidence and degrees of freedom. The t-critical value can be looked up in a t-table, or calculated using a t-distribution calculator.
It is important to note that for a small sample size (n<30) t-distribution is used instead of the normal distribution, in that case, the degrees of freedom is n-1 and the t-critical value is different than the one calculated with degrees of freedom.
To know more about critical values:
https://brainly.com/question/15970126
#SPJ4