Answer:
iam think that y=2x cause curve y have two curve x
find the limit of the points specified
Given the system of equations, match the following items.
x + 3y = 5
x - 3y = -1
[5 3]
[-1 -3]
[1 5]
[1 -1]
[1 3]
[1 -3]
the answer options for all are: y-determinant, system determinant, x-determinant
According to the given equation :
The given matrix can be represented as:⎡x 3y⎤⎣x -3y⎦
So, x-determinant = 24 , y-determinant = 0 and system determinant = 4.
Given the system of equations as:
x + 3y = 5
x - 3y = -1
The given matrix can be represented as:
⎡x 3y⎤⎣x -3y⎦
We need to find the x-determinant, y-determinant and system determinant.
Let us represent each matrix by A11, A12, A21, A22 and so on.
x-determinant: It is the determinant of matrix obtained by replacing the first column by the column on the right-hand side of the given matrix.
x-determinant = |5 -1| |-1 5|
= 5*5 - (-1)*(-1) = 25 - 1 = 24
y-determinant: It is the determinant of matrix obtained by replacing the second column by the column on the right-hand side of the given matrix.
y-determinant = |1 -1| |-1 1|
= 1*1 - (-1)*(-1) = 0
system determinant: It is the determinant of matrix obtained by replacing both the columns by the columns on the right-hand side of the given matrix.
system determinant = |5 -1| |1 -1|
= 5 - 1 = 4
Therefore, the answer to the question is:
x-determinant = 24
y-determinant = 0
system determinant = 4
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If f(x)=2(x)^2 + 5 square root (x-2), complete the following statement
The domain for f(x) is all real numbers _____ than or equal to 2.
Answer:
Greater.
Step-by-step explanation:
The in the function , the square root term has to give a real number if is to be real. This can only happen if because if then will give a complex number and therefore will not be real.
Thus, the domain for f(x) is all real numbers greater than or equal to 2.
Answer:
The domain for f(x) is all real numbers greater than or equal to 2.
Step-by-step explanation:
Given function:
\(f(x)=2x^2+5 \sqrt{x-2}\)
The domain of a function is the set of all possible input values (x-values).
As the square root of a negative number cannot be taken:
\(\implies x-2\geq 0\)
Therefore:
\(\implies x-2+2\geq 0+2\)
\(\implies x\geq 2\)
Therefore, the domain of the given function is greater than or equal to 2.
Find the tangent of ∠B. Simplify your answer and write it as a proper fraction, improper fraction, or whole number.
The trigonometric ratio for the tangent of an angle indicates that the tangent of the angle ∠B expressed as an improper fraction is expressed in the form;
tan(∠B) = \(2\frac{2}{39}\)
What is the tangent of an angle?The tangent of an angle in a triangle is the ratio of the facing side to the adjacent side of the triangle.
The type of triangle in the figure with an interior angle of 90 degrees is a right triangle, therefore, according to the Pythagorean Theorem, we get;
(AC)² + (AB)² = (BC)²
Therefore, we get;
(AC)² + 39² = 89²
(AC)² = 89² - 39² = 6400
AC = √(6400) = 80
The tangent of an angle is the ratio of the opposite side to the adjacent side, therefore;
tan(m∠B) = AC/AB
tan(m∠B) = 80/39 = \(2\frac{2}{39}\)
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if you are testing the null hypothesis with an alpha value of 0.05, will the critical value be smaller or larger than if you were testing the alpha value of 0.01? why?
When testing the null hypothesis with an alpha value of 0.05, the critical value will be larger than if you were testing with an alpha value of 0.01.
If you are testing the null hypothesis with an alpha value of 0.05, the critical value will be smaller than if you were testing the alpha value of 0.01. This is because a smaller alpha value means a more stringent test of significance, which requires stronger evidence to reject the null hypothesis.
This is because a larger alpha value represents a higher level of risk that you are willing to accept when rejecting the null hypothesis. A larger critical value means the rejection region is larger, making it more likely for you to reject the null hypothesis if the test statistic falls within that region.Therefore, the critical value is larger for a smaller alpha value to reflect the higher level of evidence required for rejection. Conversely, a larger alpha value allows for a less stringent test of significance, requiring weaker evidence to reject the null hypothesis, which results in a smaller critical value.
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m= -2 b=15 write the equation of the line
Answer:
y=-2x+15
Step-by-step explanation:
Hi there!
We are given that m=-2, b=15, and we want to write the equation of the line, given these values
We can write the line in slope-intercept form, which is y=mx+b, where m is the slope and b is the y intercept, since we are given the values of both m and b.
Since we know the values of m and b (-2 and 15 respectively), we can substitute those numbers in as the variables they equal to.
Substitute -2 as m:
y=-2x+b
Substitute 15 as b:
y=-2x+15
Hope this helps!
Write the equation of a circle where the endpoints of a diameter are (4,9) and (4,-3).
The equation of a circle having endpoints of diameter as (4,9) and (4,-3) is (x - 4)² + (y - 3)² = 36.
The "center" of circle is called as midpoint of diameter.
The "x-coordinate" of "mid-point" is = (4+4)/2 = 4, and
The "y-coordinate" of "mid-point" is = (9+(-3))/2 = 3.
So, center of circle is (4,3),
The radius of circle is half the length of the diameter, which is distance between two endpoints of diameter. We find distance using distance formula:
⇒ distance = √((x₂ - x₁)² + (y₂ - y₁)²), where (x₁,y₁) and (x₂,y₂) are "end-points" of diameter.
⇒ distance = √((4 - 4)² + (9 - (-3))²)
⇒ √(144) = 12.
So, radius is 6.
The equation of circle with center (h,k) and radius "r" is : ⇒ (x - h)² + (y - k)² = r²,
Substituting the values
We get,
⇒ (x - 4)² + (y - 3)² = 6²,
⇒ (x - 4)² + (y - 3)² = 36,
Therefore, the equation of the circle is (x - 4)² + (y - 3)² = 36.
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For a beverage, Lisa mixes cups of lemonade to cups of iced tea in a ratio of 2:5. Which of the following best describes the amount of lemonade to iced tea?
For every 2 cups of lemonade, there are 3 cups of iced tea.
For every 2 cups of lemonade, there are 5 cups of iced tea.
For every 3 cups of lemonade, there are 2 cups of iced tea.
For every 5 cups of lemonade, there are 2 cups of iced tea.
Answer:
Answer 2 would be true.
Step-by-step explanation:
Because our ratio is 2:5 (or 2 to 5 for easier understanding) we know that every 2 cups we use of lemonade, we pair with 5 cups of tea.
Answer:
The answer is B
Step-by-step explanation:
For every 2 cups of lemonade, there are 5 cups of iced tea.
Please help! (look at the image below!!)
The numbers arranged in order from least to greatest is: √146, 12.39, 12.62, 12⅝, and 12¾. The third option is correct.
What is ordering of numbersThe ordering of numbers refers to arranging numbers in a specific sequence based on their magnitude or value. The ordering of numbers is determined by their relative values. Comparisons are made between numbers to determine their position in the order.
12⅝ = 101/8 = 12.645
12.62 = 12.62
√146 = 12.0830
12.39 = 12.39
12¾ = 51/4 = 12.75
Therefore, the numbers arranged in order from least to greatest is: √146, 12.39, 12.62, 12⅝, and 12¾.
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Someone help
y-2=-2(x + 2)
y-15=3(x-5)
y-9=3(x-4)
y+2=-2(x-2)
Answer:y = -0.5x - 0.5
Step-by-step explanation:Simplify the equation for line 1 to get it into our y = mx + b format:2(x - 4y - 2 = 0-4)y = 2(x + 2Divide each side of the equation by -4 to isolate y:-4)y-4= 2(x + 2-4=y = -0.5x - 0.5
Jamilla solved the inequality x+ b2 and graphed the solution as shown below. 6 5 4 3 -2 -1 0 1 2 3 4 5 6 What is the value of b and the missing symbol in Jamilla's inequality? Ob=-1,2 O b=-1, s O b = 1,2 O b= 1, g
The inequality solved to give a solution of x ≥ 1 and x ≤ -3 is |x + 1| ≥ 2.
b = 1, ≥
From the diagram, the solution to the inequality is x ≥ 1 and x ≤ -3
Hence:
|x + b| ≥ 2
x + b ≥ 2 or -(x + b) ≥ 2
x ≥ 2 - b or x ≤ -2 - b
2 - b = 1 and -2 - b = -3
b = 1
Hence |x + 1| ≥ 2
The inequality solved to give a solution of x ≥ 1 and x ≤ -3 is |x + 1| ≥ 2. b = 1, ≥
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Over the period of a year, Julie’s net worth decreased. Which of the following could be true? a. Julie’s assets and liabilities decreased by the same amount. b. Julie’s assets and liabilities increased by the same amount. c. Julie’s assets increased by more than her liabilities. d. Julie’s assets decreased by more than her liabilities. Please select the best answer from the choices provided Group of answer choices A B C D
The situation that could be true about the reduction in Julie's net worth will be; d). Julie's assets decreased by more than her liabilities.
What is 'Net Worth?'Net Worth' is characterized as 'the value of all the assets one possesses after subtracting all his/her debts or liabilities.'
In the given situation, the decrease in Julie's net worth would denote that the total of her liabilities for that financial year exceeded her total assets given in the question.
However another possibility could be that the decrease faced in her liabilities is higher than the decrease in her assets leading her net worth to be negative.
Hence, option D is the best answer.
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Five runners are entered into a competition. Four of the runners have had their turns. Their
completing times are 7.4 s, 7.75 s, 7.09 s, and 7.86 s. What time must the last runner get in order to win
the competition?
Answer:
Just writing anything above these numbers
Step-by-step explanation:
Answer:
let t be winning time t < 7.09 seconds
Step-by-step explanation:
let's first order the times from least to greatest:
7.09, 7.40, 7.75, and 7.86
Now, in order to have the winning time, the last runner must have a time less than the fastest runner so far. So, the winning time is less than 7.09 seconds.
Make sure to add units. I know that my teachers are REALLY picky about that, though yours may not care.
HELPPPPP
What is the area of the actual living room?
Answer:
The answer is 51,200 in².
Step-by-step explanation:
(4x40)x(8x40)=51,200
At the Butler County Fair, 22 of the last 64 people to spin the prize wheel won a prize. What is the experimental probability that the next person to spin the wheel will win a prize?
Answer:
11/32
Step-by-step explanation:
Write the experimental probability as a fraction in simplest form.
P(win)=wins total=22/64=11/32
So, P(win)= 11/32
.
Answer:
11/32
Step-by-step explanation:
Mi cuaderno tenía originariamente 40 páginas, pero he usado 2/5 y he arrancado 1/8¿cuantas páginas quedan disponibles? ¿Qué fracción del total representan?
Answer:
La fracción del total de páginas iniciales del cuaderno que representan las páginas disponibles restantes es 19/40
Step-by-step explanation:
El número total de páginas en el cuaderno = 40
Número de páginas utilizadas = 2/5 × 40 = 16 páginas
Número de páginas extraídas = 1/8 × 40 = 5 páginas
Número de páginas disponibles = 40 - 16 - 5 = 19 páginas
Fracción del total restante = 19/40
La fracción del total de páginas iniciales del cuaderno que representan las páginas disponibles restantes = 19/40.
calculate the absolute value of 4 + 7i is equal to the square root of____.
Answer:
\(\sqrt{65}\)
Step-by-step explanation:
the absolute value of the complex number a + bi is
| a + bi | = \(\sqrt{a^2+b^2}\)
then
| 4 + 7i | = \(\sqrt{4^2+7^2}\) = \(\sqrt{16+49}\) = \(\sqrt{65}\)
In 1899, the first Green Jacket Golf Championship was held. The winner's prize money was $23 In 2020 , the winner's check was $2,670,000. a. What was the annual percentage increase in the winner's check over this period? Note: Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16. b. If the winner's prize increases at the same rate, what will it be in 2055 ? Note: Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 1,234,567.89.
A) annual percentage increase in the winner's check over this period is approximately 11595652.17%.
B) if the winner's prize increases at the same rate, it will be approximately $3,651,682,684.48 in 2055.
a. To find the annual percentage increase in the winner's check over this period, we can use the formula:
Annual Percentage Increase = ((Final Value - Initial Value) / Initial Value) * 100
First, let's calculate the annual percentage increase in the winner's check from 1899 to 2020:
Initial Value = $23
Final Value = $2,670,000
Annual Percentage Increase = (($2,670,000 - $23) / $23) * 100
Now, we can calculate this value using the given formula:
Annual Percentage Increase = ((2670000 - 23) / 23) * 100 = 11595652.17%
Therefore, the annual percentage increase in the winner's check over this period is approximately 11595652.17%.
b. If the winner's prize increases at the same rate, we can use the annual percentage increase to calculate the prize money in 2055. Since we know the prize money in 2020 ($2,670,000), we can use the formula:
Future Value = Initial Value * (1 + (Annual Percentage Increase / 100))^n
Where:
Initial Value = $2,670,000
Annual Percentage Increase = 11595652.17%
n = number of years between 2020 and 2055 (2055 - 2020 = 35)
Now, let's calculate the prize money in 2055 using the given formula:
Future Value = $2,670,000 * (1 + (11595652.17 / 100))^35
Calculating this value, we find:
Future Value = $2,670,000 * (1 + 11595652.17 / 100)^35 ≈ $3,651,682,684.48
Therefore, if the winner's prize increases at the same rate, it will be approximately $3,651,682,684.48 in 2055.
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Which choice is the value of two over five raised to the second?
four over twenty-five
two over twenty-five
two over ten
four over seven
Solve the equation AB=BC for A, assuming that AB and C are square matrices and Bis invertible.?
\(A = B^-1 * BC\)
Since B is invertible, it can be used to solve the equation.
1. Calculate the inverse of B, \(B^-1\).
2. Multiply\(B^-1\) with BC, to obtain A.
Assuming that AB and C are square matrices and B is invertible, the equation AB=BC can be solved for A. To do this, we first need to calculate the inverse of B, \(B^-1\). The inverse of a matrix is defined as the matrix which when multiplied to the original matrix, yields the identity matrix. Once we have the inverse of B, we can use it to solve the equation by multiplying \(B^-1\) with BC, which will give us A. This works because when we multiply a matrix by its inverse, the result is always the identity matrix. Hence, by multiplying the inverse of B with BC, we can obtain A.
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93% or 7/8 which is greater
93% in decimal form is
\(93\text{ \%=}\frac{93}{100}=0.93\)On the other hand,
\(\frac{7}{8}=0.875\)Since 0.93 is greater than 0.875 then 93% is greater than 7/8
Figure BCDE was transformed using the composition rx-axis ◦ T2,2. If point B on the pre-image lies at (3, 4), what are the coordinates of B'' on the final image?
(5, 6)
(5, –6)
(1, 2)
(1, –2)
The transformation can be defined as the introduction of a new set of mathematical coordinates. The correct option is B.
What is transformation?The transformation can be defined as the introduction of a new set of mathematical coordinates that are declared to be different functions of the original coordinates.
Given Figure BCDE, which is transformed using the composition rx-axis ◦ T2,2. Also, the coordinates of point B on the pre-image lies at (3, 4). Therefore, the coordinates of B'' on the final image will be,
rx-axis ◦ T2,2 (3,4)
= rx-axis ( T2,2 (3,4) )
= rx-axis ( 5,6 )
= (5, -6)
Hence, the correct option is B.
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Help me!!!!!!it’s timed
The answer is A.
Look at the x term/value for domain and y for range.
set of x is domain while set of y is range.
Answer:
is answer A
domain {1,2,4,6} and range {-4,-2,2,5}
You are wrapping a birthday gift that is packaged in a specially made pyramid-shaped box. The base of the box measures 10 inches by 10 inches and the slant height is 6 inches. How much paper do you need to wrap the box?
Answer:
2 1/4
Step-by-step explanation:
The amount of paper needed to wrap the considered box which has dimension of 10 by 10 by 6 inches is 440 sq. inches
What is the surface area of cuboid?Let the three dimensions(height, length, width) be x, y,z units respectively.
The surface area of the cuboid is given by
\(S = 2(a\times b + b\times c + c\times a)\)
A box is usually in shape of a cuboid.
For this case, its dimensions are 10 inches, 10 inches, and 6 inches.
The amount of wrapper we need is approx same as the area of its surface (assuming we're going to measure the paper needed in terms of its area).
Thus, we get:
Amount of the paper we need to wrap the considered box = surface area of that box = surface area of cuboid of dimension 10 inch by 10 inch by 6 inches = S (say), then:
\(S = 2(10\times 10+ 10\times 6 + 6\times 10)\\S = 440\)(in sq. inches)
Thus, the amount of paper needed to wrap the considered box which has dimension of 10 by 10 by 6 inches is 440 sq. inches
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Question
The area of a rectangle is 36x^(7y^(5)). If the length iof the triangle is 9x^4y, which expression represents the width of the rectangle in the yards?
A 4x^4y^3
B 6x^4y^3
C 4x^3y^4
D 27x^3y^4
The expression that represents the width of the rectangle in yards, given the area and length, is option C: 4x^3y^4.
To determine the width of the rectangle, we divide the area by the length. In this case, the area is 36x^(7y^(5)) and the length is 9x^4y. Dividing the area by the length will cancel out the common factors and leave us with the remaining factors representing the width.
When we divide 36x^(7y^(5)) by 9x^4y, we divide the coefficients (36/9 = 4) and subtract the exponents of the variables (x^(7-4) = x^3, y^(5-1) = y^4). Therefore, the width of the rectangle is 4x^3y^4, which matches option C.
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use this to find the equation of the tangent line to the curve at the point and write your answer in the form: , where is the slope and is the y-intercept.
The equation can be simplified and written in a slope-intercept form as: \(y=18 \sqrt{3} x-6(\sqrt{3} \pi-1)\)
What do we mean by equations?An equation is a mathematical declaration composed of two expressions joined by an equal sign. An equation is 3x - 5 = 16. By solving this equation, we obtain the value of the variable x as x = 7.To find the equation:
When we differentiate the function \(y=6 \sec (x)-12 \cos (x)\), we get:
\(\begin{aligned}y^{\prime} &=\frac{d}{d x}(6 \sec (x)-12 \cos (x)) \\&=6 \frac{d}{d x}(\sec (x))-12 \frac{d}{d x}(\cos (x)) \\&=6 \sec (x) \tan (x)+12 \sin (x)\end{aligned}\)
The slope of the tangent line is given by this derivative at the point \(x=\frac{\pi}{3}\):
\(y^{\prime}\left(\frac{\pi}{3}\right)=6 \sec \left(\frac{\pi}{3}\right) \tan \left(\frac{\pi}{3}\right)+12 \sin \left(\frac{\pi}{3}\right)=18 \sqrt{3}\)The general equation y applies to the tangent line passing through the point \((a, y(a))\) on the curve \(y(x)-y(a)=y^{\prime}(a)(x-a)\).The tangent line in this case passes through the point \(\left(\frac{\pi}{3}, y\left(\frac{\pi}{3}\right)\right)=\left(\frac{\pi}{3}, 6\right)\) and has the slope \(y^{\prime}\left(\frac{\pi}{3}\right)=18 \sqrt{3}\).As a result, this tangent line has the equation: \(y-6=18 \sqrt{3}\left(x-\frac{\pi}{3}\right)\)
Therefore, the equation can be simplified and written in a slope-intercept form as: \(y=18 \sqrt{3} x-6(\sqrt{3} \pi-1)\)
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The correct question is given below:
Find the equation of the tangent line to the curve y = 6 sec (x) at the point (\(\pi\)/3, 6). Give your answer in the form y = mx + b where m is the slope and b is the y--intercept.
A box has a length of 7 centimeter so,a width of 2 centimeters, and a height of 4 centimeters.The bottom layer of the box is filled with 14 unit cubes that measure one centimeter on each side.which expression represents the volume of the box in cubic centimeters
Answer:
V = (14)(4) V = 56cm³
Step-by-step explanation:
The Volume is Base times Height
We are given that the base is 7cm by 2cm.
That is 14 cm² (The cubes each have volume of 1 cm³, so the volume of that bottom row is 14cm³, technically, but ignore that for now.)
To find the volume, multiply the base times the height.
V = 14cm² × 4cm
V = 56cm³
Jax came to your bank to borrow 8,500 to start a new business. Your bank offers him a 30-month loan with an annual simple interest rate of 4.35%
The simple interest after 30 months is $924. 375
How to determine the simple interestTo determine the simple interest value, we need to know the formula for calculating it
The formula for simple interest is represented as;
S.I =PRT/100
The parameters of the equation are;
SI is the simple interest.P is the principal amount.R is the interest rate.T is the time takenFrom the information given, we have;
Substitute the values
Simple interest = 8500 × 2.5 × 4.35/100
Multiply the values
Simple interest = 92437.5/100
Divide the values
Simple interest = $924. 375
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Solve for the two possible values of X:
( 5x – 17)(7x + 12) = 0
what is it ?
(i really need this answer asap)
Which shows the phrase "6 times the sum of 3 and 4"?
A. 6 + 3 + 4
B. (3 + 4) ÷ 6
C. 6 × (3 + 4)
D. (3 + 4) – 6
Answer:
C
Step-by-step explanation:
It can't be A as it would've said add all 3 together.
It can't be B as it's says divide 6. we want times.
It can't be D as it minus 6.
If a book about airplanes costs $5.39, how much would it cost to buy 5 books about airplanes?
Answer:
$5.39 × 5 = $26.95
5 books about airplanes would cost $26.95.